GradeAnswers.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "38068b1b-9d6b-49b6-8abe-459a760d4869",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle\n",
    "with open('book_qas_with_answers.pkl', 'rb') as file:\n",
    "    book_answers = pickle.load(file)\n",
    "\n",
    "#book_qas\n",
    "#book_qas.append((book, \"solved with work\", selected_problem, just_question, just_answer))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3d1dfd36-8b23-4ba9-9567-5296d4c9b84f",
   "metadata": {},
   "outputs": [],
   "source": [
    "assert \"Martin is great\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "45624adb-c1af-455d-97da-ebf47ce5d6a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(\"books/SCHAUM's Outlines - Advanced Calculus, 3rd Edition_2010/2024_04_03_ffb6ac533fe0a53b3ceeg/2024_04_03_ffb6ac533fe0a53b3ceeg.json\",\n",
       " 'solved with work',\n",
       " \"\\n4.31. If $F(x)=\\\\left(e^{3 x}-5 x\\\\right)^{1 / x}$, find $(a) \\\\lim _{x \\\\rightarrow 0} F(x)$ and $(b) \\\\lim _{x \\\\rightarrow 0} F(x)$.\\n\\nThe respective indeterminate forms in $(a)$ and $(b)$ are $\\\\infty^{0}$ and $1^{\\\\infty}$.\\n\\nLet $G(x)=\\\\ln F(x)=\\\\frac{\\\\left(\\\\ln \\\\left(e^{3 x}-5 x\\\\right)\\\\right.}{x}$. Then $\\\\lim _{x \\\\rightarrow \\\\infty} G(x)$ and $\\\\lim _{x \\\\rightarrow 0} G(x)$ assume the indeterminate forms $\\\\infty / \\\\infty$ and $0 / 0$, respectively, and L'Hospital's rule applies. We have\\n\\n(a) $\\\\lim _{x \\\\rightarrow 0} \\\\frac{\\\\ln \\\\left(e^{3 x}-5 x\\\\right)}{x}=\\\\lim _{x \\\\rightarrow \\\\infty} \\\\frac{3 e^{3 x}-5}{e^{3 x}-5 x}=\\\\lim _{x \\\\rightarrow 0} \\\\frac{9 e^{3 x}}{3 e^{3 x}-5}=\\\\lim _{x \\\\rightarrow \\\\infty} \\\\frac{27 e^{3 x}}{9 e^{3 x}}=3$\\n\\nThen, as in Problem 4.30, $\\\\lim _{x \\\\rightarrow \\\\infty}\\\\left(e^{3 x}-5 x\\\\right)^{1 / x}=e^{3}$.\\n\\n(b) $\\\\lim _{x \\\\rightarrow 0} \\\\frac{\\\\ln \\\\left(e^{3 x}-5 x\\\\right)}{x}=\\\\lim _{x \\\\rightarrow 0} \\\\frac{3 e^{3 x}-5}{e^{3 x}-5 x}=-2$\\n\",\n",
       " 'If $F(x)=\\\\left(e^{3 x}-5 x\\\\right)^{1 / x}$, find $(a) \\\\lim _{x \\\\rightarrow 0} F(x)$ and $(b) \\\\lim _{x \\\\rightarrow 0} F(x)$.',\n",
       " \"The respective indeterminate forms in $(a)$ and $(b)$ are $\\\\infty^{0}$ and $1^{\\\\infty}$.\\n\\nLet $G(x)=\\\\ln F(x)=\\\\frac{\\\\left(\\\\ln \\\\left(e^{3 x}-5 x\\\\right)\\\\right.}{x}$. Then $\\\\lim _{x \\\\rightarrow \\\\infty} G(x)$ and $\\\\lim _{x \\\\rightarrow 0} G(x)$ assume the indeterminate forms $\\\\infty / \\\\infty$ and $0 / 0$, respectively, and L'Hospital's rule applies. We have\\n\\n(a) $\\\\lim _{x \\\\rightarrow 0} \\\\frac{\\\\ln \\\\left(e^{3 x}-5 x\\\\right)}{x}=\\\\lim _{x \\\\rightarrow \\\\infty} \\\\frac{3 e^{3 x}-5}{e^{3 x}-5 x}=\\\\lim _{x \\\\rightarrow 0} \\\\frac{9 e^{3 x}}{3 e^{3 x}-5}=\\\\lim _{x \\\\rightarrow \\\\infty} \\\\frac{27 e^{3 x}}{9 e^{3 x}}=3$\\n\\nThen, as in Problem 4.30, $\\\\lim _{x \\\\rightarrow \\\\infty}\\\\left(e^{3 x}-5 x\\\\right)^{1 / x}=e^{3}$.\\n\\n(b) $\\\\lim _{x \\\\rightarrow 0} \\\\frac{\\\\ln \\\\left(e^{3 x}-5 x\\\\right)}{x}=\\\\lim _{x \\\\rightarrow 0} \\\\frac{3 e^{3 x}-5}{e^{3 x}-5 x}=-2$\",\n",
       " 'To solve the problem, we need to find the limit of the function $F(x) = \\\\left(e^{3x} - 5x\\\\right)^{1/x}$ as $x$ approaches 0. \\n\\n### Part (a) and (b)\\nBoth parts of the question ask for the same limit, $\\\\lim_{x \\\\to 0} F(x)$. We will solve this limit.\\n\\n### Step 1: Simplify the Expression\\nWe start by rewriting the expression inside the limit:\\n\\\\[ F(x) = \\\\left(e^{3x} - 5x\\\\right)^{1/x} \\\\]\\n\\n### Step 2: Use the Exponential Approximation\\nFor small values of $x$, we can use the Taylor expansion for $e^{3x}$ around $x = 0$:\\n\\\\[ e^{3x} \\\\approx 1 + 3x + \\\\frac{(3x)^2}{2} + O(x^3) \\\\]\\n\\\\[ e^{3x} \\\\approx 1 + 3x + \\\\frac{9x^2}{2} + O(x^3) \\\\]\\n\\nSubstituting this into $F(x)$:\\n\\\\[ F(x) = \\\\left(1 + 3x + \\\\frac{9x^2}{2} - 5x + O(x^3)\\\\right)^{1/x} \\\\]\\n\\\\[ F(x) = \\\\left(1 - 2x + \\\\frac{9x^2}{2} + O(x^3)\\\\right)^{1/x} \\\\]\\n\\n### Step 3: Simplify Further\\nWe can simplify the expression inside the parentheses:\\n\\\\[ F(x) = \\\\left(1 - 2x + \\\\frac{9x^2}{2} + O(x^3)\\\\right)^{1/x} \\\\]\\n\\n### Step 4: Use the Limit Property of Exponential Functions\\nWe know that for small $x$, $(1 + u)^{1/x} \\\\approx e^{u/x}$ when $u$ is small. Applying this to our expression:\\n\\\\[ u = -2x + \\\\frac{9x^2}{2} + O(x^3) \\\\]\\n\\\\[ \\\\frac{u}{x} = -2 + \\\\frac{9x}{2} + O(x^2) \\\\]\\n\\nThus,\\n\\\\[ F(x) \\\\approx e^{-2 + \\\\frac{9x}{2} + O(x^2)} \\\\]\\n\\n### Step 5: Take the Limit as $x \\\\to 0$\\nAs $x$ approaches 0, the higher order terms ($\\\\frac{9x}{2} + O(x^2)$) vanish:\\n\\\\[ \\\\lim_{x \\\\to 0} F(x) = e^{-2} \\\\]\\n\\n### Conclusion\\nThe limit of $F(x)$ as $x$ approaches 0 is $e^{-2}$. Thus, the answers to both parts (a) and (b) are:\\n\\\\[ \\\\lim_{x \\\\rightarrow 0} F(x) = e^{-2} \\\\]')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "book_answers[125]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "81109848-b03f-4976-8ac5-a60b62ec3f71",
   "metadata": {},
   "outputs": [],
   "source": [
    "from openai import OpenAI\n",
    "client = OpenAI(api_key = \"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\")\n",
    "\n",
    "if False:\n",
    "    response = client.chat.completions.create(\n",
    "      model=\"gpt-3.5-turbo\",\n",
    "      messages=[\n",
    "        {\n",
    "          \"role\": \"system\",\n",
    "          \"content\": \"You are a helpful grading assistant. You look at a problem, a reference answer, and the student's answer, and you grade them as follows:\\n0 points when missing, no answer or wrong\\n1 point when work correct but answer wrong\\n2 points for a correct answer.\\n\\nIf the problem is incomplete and cannot be answered, give a rating of -1 points (ill-defined problem)\\n\\nSome questions contain multiple sub-questions. When they do, perform grading on each sub-question separately. First, state how many sub-problems there are. Second, grade each and give a score.\"\n",
    "        },\n",
    "        {\n",
    "          \"role\": \"user\",\n",
    "          \"content\": \"Grade the answer provided by the student.\\n*question*: \\nIf $F(x)=\\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)^{1 / x}$, find $(a) \\\\\\\\lim _{x \\\\\\\\rightarrow 0} F(x)$ and $(b) \\\\\\\\lim _{x \\\\\\\\rightarrow 0} F(x)$.\\n\\n*reference answer*:\\nThe respective indeterminate forms in $(a)$ and $(b)$ are $\\\\\\\\infty^{0}$ and $1^{\\\\\\\\infty}$.\\\\n\\\\nLet $G(x)=\\\\\\\\ln F(x)=\\\\\\\\frac{\\\\\\\\left(\\\\\\\\ln \\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)\\\\\\\\right.}{x}$. Then $\\\\\\\\lim _{x \\\\\\\\rightarrow \\\\\\\\infty} G(x)$ and $\\\\\\\\lim _{x \\\\\\\\rightarrow 0} G(x)$ assume the indeterminate forms $\\\\\\\\infty / \\\\\\\\infty$ and $0 / 0$, respectively, and L'Hospital's rule applies. We have\\\\n\\\\n(a) $\\\\\\\\lim _{x \\\\\\\\rightarrow 0} \\\\\\\\frac{\\\\\\\\ln \\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)}{x}=\\\\\\\\lim _{x \\\\\\\\rightarrow \\\\\\\\infty} \\\\\\\\frac{3 e^{3 x}-5}{e^{3 x}-5 x}=\\\\\\\\lim _{x \\\\\\\\rightarrow 0} \\\\\\\\frac{9 e^{3 x}}{3 e^{3 x}-5}=\\\\\\\\lim _{x \\\\\\\\rightarrow \\\\\\\\infty} \\\\\\\\frac{27 e^{3 x}}{9 e^{3 x}}=3$\\\\n\\\\nThen, as in Problem 4.30, $\\\\\\\\lim _{x \\\\\\\\rightarrow \\\\\\\\infty}\\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)^{1 / x}=e^{3}$.\\\\n\\\\n(b) $\\\\\\\\lim _{x \\\\\\\\rightarrow 0} \\\\\\\\frac{\\\\\\\\ln \\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)}{x}=\\\\\\\\lim _{x \\\\\\\\rightarrow 0} \\\\\\\\frac{3 e^{3 x}-5}{e^{3 x}-5 x}=-2$\\n\\n*student's answer*:\\nTo solve the problem, we need to find the limit of the function $F(x) = \\\\\\\\left(e^{3x} - 5x\\\\\\\\right)^{1/x}$ as $x$ approaches 0. \\\\n\\\\n### Part (a) and (b)\\\\nBoth parts of the question ask for the same limit, $\\\\\\\\lim_{x \\\\\\\\to 0} F(x)$. We will solve this limit.\\\\n\\\\n### Step 1: Simplify the Expression\\\\nWe start by rewriting the expression inside the limit:\\\\n\\\\\\\\[ F(x) = \\\\\\\\left(e^{3x} - 5x\\\\\\\\right)^{1/x} \\\\\\\\]\\\\n\\\\n### Step 2: Use the Exponential Approximation\\\\nFor small values of $x$, we can use the Taylor expansion for $e^{3x}$ around $x = 0$:\\\\n\\\\\\\\[ e^{3x} \\\\\\\\approx 1 + 3x + \\\\\\\\frac{(3x)^2}{2} + O(x^3) \\\\\\\\]\\\\n\\\\\\\\[ e^{3x} \\\\\\\\approx 1 + 3x + \\\\\\\\frac{9x^2}{2} + O(x^3) \\\\\\\\]\\\\n\\\\nSubstituting this into $F(x)$:\\\\n\\\\\\\\[ F(x) = \\\\\\\\left(1 + 3x + \\\\\\\\frac{9x^2}{2} - 5x + O(x^3)\\\\\\\\right)^{1/x} \\\\\\\\]\\\\n\\\\\\\\[ F(x) = \\\\\\\\left(1 - 2x + \\\\\\\\frac{9x^2}{2} + O(x^3)\\\\\\\\right)^{1/x} \\\\\\\\]\\\\n\\\\n### Step 3: Simplify Further\\\\nWe can simplify the expression inside the parentheses:\\\\n\\\\\\\\[ F(x) = \\\\\\\\left(1 - 2x + \\\\\\\\frac{9x^2}{2} + O(x^3)\\\\\\\\right)^{1/x} \\\\\\\\]\\\\n\\\\n### Step 4: Use the Limit Property of Exponential Functions\\\\nWe know that for small $x$, $(1 + u)^{1/x} \\\\\\\\approx e^{u/x}$ when $u$ is small. Applying this to our expression:\\\\n\\\\\\\\[ u = -2x + \\\\\\\\frac{9x^2}{2} + O(x^3) \\\\\\\\]\\\\n\\\\\\\\[ \\\\\\\\frac{u}{x} = -2 + \\\\\\\\frac{9x}{2} + O(x^2) \\\\\\\\]\\\\n\\\\nThus,\\\\n\\\\\\\\[ F(x) \\\\\\\\approx e^{-2 + \\\\\\\\frac{9x}{2} + O(x^2)} \\\\\\\\]\\\\n\\\\n### Step 5: Take the Limit as $x \\\\\\\\to 0$\\\\nAs $x$ approaches 0, the higher order terms ($\\\\\\\\frac{9x}{2} + O(x^2)$) vanish:\\\\n\\\\\\\\[ \\\\\\\\lim_{x \\\\\\\\to 0} F(x) = e^{-2} \\\\\\\\]\\\\n\\\\n### Conclusion\\\\nThe limit of $F(x)$ as $x$ approaches 0 is $e^{-2}$. Thus, the answers to both parts (a) and (b) are:\\\\n\\\\\\\\[ \\\\\\\\lim_{x \\\\\\\\rightarrow 0} F(x) = e^{-2} \\\\\\\\]\\n\\nGrade the answer provided by the student. First, state how many sub-problems there are. Second, grade each and give a score. If the problems are ill-defined, give a score of -1\"\n",
    "        },\n",
    "        {\n",
    "          \"role\": \"assistant\",\n",
    "          \"content\": \"There are two sub-problems in this question.\\n(a) The student correctly simplified the expression and applied the exponential approximation, but made a mistake in simplifying further and determining the limit. The correct limit is 3, not $e^{-2}$. So, the student's answer is partially correct. I would give the student 1 point for this sub-problem.\\n(b) The student did not address part (b) separately, and their final answer for part (a) was incorrect. Therefore, for part (b), I would give the student 0 points.\"\n",
    "        },\n",
    "        {\n",
    "          \"role\": \"user\",\n",
    "          \"content\": \"very well. Now write your grades in the following format:\\npart N: score X\\none per line. For example:\\npart 1: score 2\"\n",
    "        },\n",
    "        {\n",
    "          \"role\": \"assistant\",\n",
    "          \"content\": \"part 1: score 1\\npart 2: score 0\"\n",
    "        }\n",
    "      ],\n",
    "      temperature=1,\n",
    "      max_tokens=2048,\n",
    "      top_p=1,\n",
    "      frequency_penalty=0,\n",
    "      presence_penalty=0\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ebb10744-a62e-4ee4-8433-476acfd7e97a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2939 2021\n",
      "3479 3091 3091\n"
     ]
    }
   ],
   "source": [
    "import json\n",
    "import re\n",
    "import time\n",
    "import os\n",
    "import pickle\n",
    "\n",
    "#load from disk to continue where left off\n",
    "with open('book_qas_with_answers.pkl', 'rb') as file:\n",
    "    book_answers = pickle.load(file)\n",
    "\n",
    "\n",
    "#load from disk to continue where left off\n",
    "with open('book_qas_with_answers_from_end.pkl', 'rb') as file:\n",
    "    book_answers_from_end = pickle.load(file)\n",
    "\n",
    "print(len(book_answers), len(book_answers_from_end))\n",
    "\n",
    "book_answers+=book_answers_from_end\n",
    "\n",
    "with open('book_qas.pkl', 'rb') as file:\n",
    "    book_qas = pickle.load(file)\n",
    "\n",
    "all_answered_problems = set([problem for _,_,problem,question,_,_ in book_answers])\n",
    "filtered_book_qas = [\n",
    "    (book, how_solved, selected_problem, just_question, just_answer)\n",
    "    for book, how_solved, selected_problem, just_question, just_answer in book_qas\n",
    "    if isinstance(selected_problem, str)\n",
    "]\n",
    "\n",
    "# Now you can use this filtered list for further processing\n",
    "unsolved_problems = [\n",
    "    (book, how_solved, selected_problem, just_question, just_answer)\n",
    "    for book, how_solved, selected_problem, just_question, just_answer in filtered_book_qas\n",
    "    if selected_problem not in all_answered_problems\n",
    "]\n",
    "\n",
    "# Now you can use this filtered list for further processing\n",
    "solved_problems = []\n",
    "added_problems = set()\n",
    "for book, how_solved, selected_problem, just_question, just_answer, student_answer in book_answers:\n",
    "    if selected_problem in all_answered_problems and selected_problem not in added_problems:\n",
    "        solved_problems.append((book, how_solved, selected_problem, just_question, just_answer, student_answer))\n",
    "        added_problems.add(selected_problem)\n",
    "\n",
    "print(len(book_qas), len(all_answered_problems), len(solved_problems))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "59b18b46-8490-4f81-bba6-48a8d332c5aa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n"
     ]
    }
   ],
   "source": [
    "def get_grades(question, ref_answer, solved_answer):\n",
    "    try:\n",
    "        messages = [\n",
    "                {\n",
    "                  \"role\": \"system\",\n",
    "                  \"content\": \"You are a helpful grading assistant. You look at a problem, a reference answer, and the student's answer, and you grade them as follows:\\n0 points when missing, no answer or wrong\\n1 point when work correct but answer wrong\\n2 points for a correct answer.\\n\\nIf the problem is incomplete and cannot be answered, give a rating of -1 points (ill-defined problem)\\n\\nSome questions contain multiple sub-questions. When they do, perform grading on each sub-question separately. First, state how many sub-problems there are. Second, grade each and give a score.\"\n",
    "                },\n",
    "                {\n",
    "                  \"role\": \"user\",\n",
    "                  \"content\": \"Grade the answer provided by the student.\\n*question*: \\nIf $F(x)=\\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)^{1 / x}$, find $(a) \\\\\\\\lim _{x \\\\\\\\rightarrow 0} F(x)$ and $(b) \\\\\\\\lim _{x \\\\\\\\rightarrow 0} F(x)$.\\n\\n*reference answer*:\\nThe respective indeterminate forms in $(a)$ and $(b)$ are $\\\\\\\\infty^{0}$ and $1^{\\\\\\\\infty}$.\\\\n\\\\nLet $G(x)=\\\\\\\\ln F(x)=\\\\\\\\frac{\\\\\\\\left(\\\\\\\\ln \\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)\\\\\\\\right.}{x}$. Then $\\\\\\\\lim _{x \\\\\\\\rightarrow \\\\\\\\infty} G(x)$ and $\\\\\\\\lim _{x \\\\\\\\rightarrow 0} G(x)$ assume the indeterminate forms $\\\\\\\\infty / \\\\\\\\infty$ and $0 / 0$, respectively, and L'Hospital's rule applies. We have\\\\n\\\\n(a) $\\\\\\\\lim _{x \\\\\\\\rightarrow 0} \\\\\\\\frac{\\\\\\\\ln \\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)}{x}=\\\\\\\\lim _{x \\\\\\\\rightarrow \\\\\\\\infty} \\\\\\\\frac{3 e^{3 x}-5}{e^{3 x}-5 x}=\\\\\\\\lim _{x \\\\\\\\rightarrow 0} \\\\\\\\frac{9 e^{3 x}}{3 e^{3 x}-5}=\\\\\\\\lim _{x \\\\\\\\rightarrow \\\\\\\\infty} \\\\\\\\frac{27 e^{3 x}}{9 e^{3 x}}=3$\\\\n\\\\nThen, as in Problem 4.30, $\\\\\\\\lim _{x \\\\\\\\rightarrow \\\\\\\\infty}\\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)^{1 / x}=e^{3}$.\\\\n\\\\n(b) $\\\\\\\\lim _{x \\\\\\\\rightarrow 0} \\\\\\\\frac{\\\\\\\\ln \\\\\\\\left(e^{3 x}-5 x\\\\\\\\right)}{x}=\\\\\\\\lim _{x \\\\\\\\rightarrow 0} \\\\\\\\frac{3 e^{3 x}-5}{e^{3 x}-5 x}=-2$\\n\\n*student's answer*:\\nTo solve the problem, we need to find the limit of the function $F(x) = \\\\\\\\left(e^{3x} - 5x\\\\\\\\right)^{1/x}$ as $x$ approaches 0. \\\\n\\\\n### Part (a) and (b)\\\\nBoth parts of the question ask for the same limit, $\\\\\\\\lim_{x \\\\\\\\to 0} F(x)$. We will solve this limit.\\\\n\\\\n### Step 1: Simplify the Expression\\\\nWe start by rewriting the expression inside the limit:\\\\n\\\\\\\\[ F(x) = \\\\\\\\left(e^{3x} - 5x\\\\\\\\right)^{1/x} \\\\\\\\]\\\\n\\\\n### Step 2: Use the Exponential Approximation\\\\nFor small values of $x$, we can use the Taylor expansion for $e^{3x}$ around $x = 0$:\\\\n\\\\\\\\[ e^{3x} \\\\\\\\approx 1 + 3x + \\\\\\\\frac{(3x)^2}{2} + O(x^3) \\\\\\\\]\\\\n\\\\\\\\[ e^{3x} \\\\\\\\approx 1 + 3x + \\\\\\\\frac{9x^2}{2} + O(x^3) \\\\\\\\]\\\\n\\\\nSubstituting this into $F(x)$:\\\\n\\\\\\\\[ F(x) = \\\\\\\\left(1 + 3x + \\\\\\\\frac{9x^2}{2} - 5x + O(x^3)\\\\\\\\right)^{1/x} \\\\\\\\]\\\\n\\\\\\\\[ F(x) = \\\\\\\\left(1 - 2x + \\\\\\\\frac{9x^2}{2} + O(x^3)\\\\\\\\right)^{1/x} \\\\\\\\]\\\\n\\\\n### Step 3: Simplify Further\\\\nWe can simplify the expression inside the parentheses:\\\\n\\\\\\\\[ F(x) = \\\\\\\\left(1 - 2x + \\\\\\\\frac{9x^2}{2} + O(x^3)\\\\\\\\right)^{1/x} \\\\\\\\]\\\\n\\\\n### Step 4: Use the Limit Property of Exponential Functions\\\\nWe know that for small $x$, $(1 + u)^{1/x} \\\\\\\\approx e^{u/x}$ when $u$ is small. Applying this to our expression:\\\\n\\\\\\\\[ u = -2x + \\\\\\\\frac{9x^2}{2} + O(x^3) \\\\\\\\]\\\\n\\\\\\\\[ \\\\\\\\frac{u}{x} = -2 + \\\\\\\\frac{9x}{2} + O(x^2) \\\\\\\\]\\\\n\\\\nThus,\\\\n\\\\\\\\[ F(x) \\\\\\\\approx e^{-2 + \\\\\\\\frac{9x}{2} + O(x^2)} \\\\\\\\]\\\\n\\\\n### Step 5: Take the Limit as $x \\\\\\\\to 0$\\\\nAs $x$ approaches 0, the higher order terms ($\\\\\\\\frac{9x}{2} + O(x^2)$) vanish:\\\\n\\\\\\\\[ \\\\\\\\lim_{x \\\\\\\\to 0} F(x) = e^{-2} \\\\\\\\]\\\\n\\\\n### Conclusion\\\\nThe limit of $F(x)$ as $x$ approaches 0 is $e^{-2}$. Thus, the answers to both parts (a) and (b) are:\\\\n\\\\\\\\[ \\\\\\\\lim_{x \\\\\\\\rightarrow 0} F(x) = e^{-2} \\\\\\\\]\\n\\nGrade the answer provided by the student. First, state how many sub-problems there are. Second, grade each and give a score. If the problems are ill-defined, give a score of -1\"\n",
    "                },\n",
    "                {\n",
    "                  \"role\": \"assistant\",\n",
    "                  \"content\": \"There are two sub-problems in this question.\\n(a) The student correctly simplified the expression and applied the exponential approximation, but made a mistake in simplifying further and determining the limit. The correct limit is 3, not $e^{-2}$. So, the student's answer is partially correct. I would give the student 1 point for this sub-problem.\\n(b) The student did not address part (b) separately, and their final answer for part (a) was incorrect. Therefore, for part (b), I would give the student 0 points.\"\n",
    "                },\n",
    "                {\n",
    "                  \"role\": \"user\",\n",
    "                  \"content\": \"very well. Now write your grades in the following format:\\npart N: score X\\none per line. For example:\\npart 1: score 2\"\n",
    "                },\n",
    "                {\n",
    "                  \"role\": \"assistant\",\n",
    "                  \"content\": \"part 1: score 1\\npart 2: score 0\"\n",
    "                },\n",
    "                {\n",
    "                  \"role\": \"user\",\n",
    "                  \"content\": f\"\"\"Grade the answer provided by the student.\\n*question*: \n",
    "                  {question}\n",
    "                  \n",
    "                  *reference answer*:\n",
    "                  {ref_answer}\n",
    "                  \n",
    "                  *student's answer*:\n",
    "                  {solved_answer}\n",
    "                  \n",
    "                  Grade the answer provided by the student. First, state how many sub-problems there are. If the question doesn't make sense, just say that the problem is ill-defined. Second, grade each sub-problem and give a score. If the problems are ill-defined, give a score of -1\"\"\"\n",
    "                }\n",
    "            ]\n",
    "        response = client.chat.completions.create(\n",
    "            model=\"gpt-3.5-turbo\",\n",
    "            messages=messages,\n",
    "            temperature=1,\n",
    "            max_tokens=2048,\n",
    "            top_p=1,\n",
    "            frequency_penalty=0,\n",
    "            presence_penalty=0\n",
    "        )\n",
    "        messages.append({\n",
    "                  \"role\": \"assistant\",\n",
    "                  \"content\": response.choices[0].message.content\n",
    "                })\n",
    "        messages.append({\n",
    "                  \"role\": \"user\",\n",
    "                  \"content\": \"very well. Now write your grades in the following format:\\npart N: score X\\none per line. For example:\\npart 1: score 2\"\n",
    "                })\n",
    "        response = client.chat.completions.create(\n",
    "            model=\"gpt-3.5-turbo\",\n",
    "            messages=messages,\n",
    "            temperature=1,\n",
    "            max_tokens=2048,\n",
    "            top_p=1,\n",
    "            frequency_penalty=0,\n",
    "            presence_penalty=0\n",
    "        )    \n",
    "        \n",
    "\n",
    "        return response.choices[0].message.content\n",
    "    except:\n",
    "        return \"failed to grade\"\n",
    "\n",
    "book, how_solved, selected_problem, just_question, just_answer, student_answer = solved_problems[0]\n",
    "response = get_grades(just_question, just_answer, student_answer)\n",
    "\n",
    "print(response)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2a8a744d-411c-481d-894b-bb2827b44c03",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "problem 0 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1.5\n",
      "problem 2 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 4 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 5 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 6 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 7 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 8 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 9 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 10 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 11 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 12 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 13 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 14 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 15 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 16 of 3091 has scores\n",
      " Score: -1\n",
      "problem 17 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 18 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 19 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 20 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 21 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 22 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 23 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 24 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 25 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 2\n",
      "part (c): score 2\n",
      "part (d): score 2\n",
      "problem 26 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 27 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 28 of 3091 has scores\n",
      " This question is ill-defined and does not have distinguishable sub-problems for grading. Therefore, the grades cannot be provided in this case.\n",
      "problem 29 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 30 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 31 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 32 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 33 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 34 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 35 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 36 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 37 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 38 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 39 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 40 of 3091 has scores\n",
      " Ill-defined problem.\n",
      "problem 41 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 42 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 43 of 3091 has scores\n",
      " Grade: -1\n",
      "problem 44 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 45 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 46 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 47 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 48 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 49 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 50 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 51 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 52 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 53 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 54 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 55 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 56 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 57 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 58 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 59 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 60 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 61 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 62 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "part 5: score 1\n",
      "problem 63 of 3091 has scores\n",
      " This problem is ill-defined, as the student's response cannot be graded without the necessary information about $f(x)$ and $g(x)$ from Problem 3.1. Therefore, I would rate this problem as -1 points.\n",
      "problem 64 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 65 of 3091 has scores\n",
      " This problem is ill-defined, and the student's answer does not directly correspond to the reference answer. I would rate this as:\n",
      "- part 1: score -1\n",
      "problem 66 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 67 of 3091 has scores\n",
      " This question is ill-defined, and grading cannot be done as the student provided an explanation of how to analyze and graph the given functions without any specific errors to evaluate.\n",
      "problem 68 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 69 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 70 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 71 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 72 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 73 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 74 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 75 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, the score is:\n",
      "part 1: score -1\n",
      "problem 76 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 77 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 78 of 3091 has scores\n",
      " The problem is ill-defined, and therefore cannot be graded.\n",
      "problem 79 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 80 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 81 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 82 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 83 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 84 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 85 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 86 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 87 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 88 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 89 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 90 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 91 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 92 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 93 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 94 of 3091 has scores\n",
      " No sub-problems to grade. The problem is ill-defined. Score: -1\n",
      "problem 95 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 96 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 97 of 3091 has scores\n",
      " The problem is ill-defined, and therefore, no grading is provided.\n",
      "problem 98 of 3091 has scores\n",
      " The problem is ill-defined. So, the score for the student's answer is:\n",
      "part 1: score -1\n",
      "problem 99 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 100 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 101 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 102 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 103 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 104 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 105 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 106 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded.\n",
      "problem 107 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 108 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 109 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 110 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 111 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 112 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 113 of 3091 has scores\n",
      " Score: -1\n",
      "problem 114 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 115 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 116 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 117 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 118 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 119 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 120 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 121 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 122 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 123 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 124 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 125 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "problem 126 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 127 of 3091 has scores\n",
      " Score: -1\n",
      "problem 128 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 129 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 130 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 131 of 3091 has scores\n",
      " Score: -1\n",
      "problem 132 of 3091 has scores\n",
      " Sub-problem 1: 2\n",
      "problem 133 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 134 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 135 of 3091 has scores\n",
      " -1\n",
      "problem 136 of 3091 has scores\n",
      " score: -1\n",
      "problem 137 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 138 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "problem 139 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 140 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 141 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 142 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 143 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 144 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 145 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 146 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 147 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 148 of 3091 has scores\n",
      " Unfortunately, I cannot provide individual scores for this question due to the ill-defined nature of the problem.\n",
      "problem 149 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 150 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 151 of 3091 has scores\n",
      " This problem is ill-defined, so there are no specific parts to grade.\n",
      "problem 152 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 153 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 154 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 155 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 156 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 157 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 158 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, scores cannot be assigned.\n",
      "problem 159 of 3091 has scores\n",
      " Ill-defined problem.\n",
      "problem 160 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 161 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 162 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 163 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 164 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 165 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 166 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 167 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 168 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 169 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 170 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 171 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 172 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 173 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 174 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 175 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 176 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 177 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 178 of 3091 has scores\n",
      " This problem is ill-defined, as it asks for a proof that $dz = \\frac{\\partial z}{\\partial x} dx + \\frac{\\partial z}{\\partial y} dy$ even if $x$ and $y$ are dependent variables, but both the reference answer and the student's answer talk about a different scenario involving functions depending on multiple parameters ($u$, $v$, $w$ and $t$). Therefore, I would rate this problem as -1 points.\n",
      "problem 179 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 180 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 181 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 182 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 183 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 184 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 185 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 186 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 187 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 188 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 189 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 190 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 191 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 192 of 3091 has scores\n",
      " This problem is ill-defined. Score: -1\n",
      "problem 193 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 194 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 195 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 196 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 197 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 198 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 199 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 200 of 3091 has scores\n",
      " score: -1\n",
      "problem 201 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 202 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 203 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 204 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 205 of 3091 has scores\n",
      " Score:\n",
      "part 1: 2\n",
      "problem 206 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 207 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 208 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 209 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 210 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 211 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 212 of 3091 has scores\n",
      " part (a): score 1\n",
      "part (b): score 2\n",
      "part (c): score 2\n",
      "part (d): score 1\n",
      "part (e): score 2\n",
      "problem 213 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 214 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 215 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 216 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 217 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 218 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 219 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 220 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 221 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 222 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 223 of 3091 has scores\n",
      " score: 2\n",
      "problem 224 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 225 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 226 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 227 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 228 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 229 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 230 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 231 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 232 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 233 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 234 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 1\n",
      "problem 235 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 236 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 237 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 238 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 239 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 240 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 241 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 242 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 243 of 3091 has scores\n",
      " This problem is ill-defined: score -1\n",
      "problem 244 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 245 of 3091 has scores\n",
      " score: -1\n",
      "problem 246 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 247 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 248 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 249 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 250 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 251 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 252 of 3091 has scores\n",
      " Score:\n",
      "- part 1: 2\n",
      "problem 253 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 254 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 255 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 256 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 257 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 258 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 259 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 260 of 3091 has scores\n",
      " This question is ill-defined. Therefore, the grade is:\n",
      "part 1: score -1\n",
      "problem 261 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 262 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 263 of 3091 has scores\n",
      " This problem is ill-defined, so each sub-problem gets a score of -1\n",
      "problem 264 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 265 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 266 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 267 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 268 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 269 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 270 of 3091 has scores\n",
      " Score: -1\n",
      "problem 271 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded as specified.\n",
      "problem 272 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "part 1: score -1\n",
      "problem 273 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 274 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 275 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 276 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 277 of 3091 has scores\n",
      " Ill-defined problem: -1\n",
      "problem 278 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 279 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 280 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 281 of 3091 has scores\n",
      " This problem is ill-defined, and I will give it a score of -1.\n",
      "problem 282 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "problem 283 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 284 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 285 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 286 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 287 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 288 of 3091 has scores\n",
      " There are no sub-problems to grade for this question as it is ill-defined.\n",
      "-1\n",
      "problem 289 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 290 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 291 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 292 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, the grades are as follows:\n",
      "Ill-defined problem: -1\n",
      "problem 293 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 294 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 295 of 3091 has scores\n",
      " score: -1\n",
      "problem 296 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 297 of 3091 has scores\n",
      " This problem is ill-defined, and thus, cannot be graded based on the given criteria.\n",
      "problem 298 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 299 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 300 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 301 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 302 of 3091 has scores\n",
      " This problem is ill-defined: score -1\n",
      "problem 303 of 3091 has scores\n",
      " Score: -1\n",
      "problem 304 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 305 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 306 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 307 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 308 of 3091 has scores\n",
      " This question does not have sub-problems and appears to be well-defined.\n",
      "problem 309 of 3091 has scores\n",
      " score: -1\n",
      "problem 310 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 311 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 312 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 313 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 314 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 315 of 3091 has scores\n",
      " score: -1\n",
      "problem 316 of 3091 has scores\n",
      " This is an ill-defined problem.\n",
      "problem 317 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 318 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 319 of 3091 has scores\n",
      " Score: -1\n",
      "problem 320 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 321 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 322 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 323 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 324 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 325 of 3091 has scores\n",
      " Sub-problem 1: 2\n",
      "problem 326 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 327 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 328 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 329 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 330 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 331 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 332 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 333 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 334 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 335 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 336 of 3091 has scores\n",
      " Sub-problem 1: score 2\n",
      "problem 337 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 338 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 339 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 340 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 341 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 342 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 343 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 344 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 345 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 346 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 347 of 3091 has scores\n",
      " Score: -1\n",
      "problem 348 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "\n",
      "Grade: -1\n",
      "problem 349 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "problem 350 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded as such.\n",
      "problem 351 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 352 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 353 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 354 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "-1\n",
      "problem 355 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 356 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 357 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 358 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 359 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 360 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 361 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 362 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 363 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 364 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 365 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 366 of 3091 has scores\n",
      " Score: -1\n",
      "problem 367 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 368 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 369 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 370 of 3091 has scores\n",
      " Score for the question: -1\n",
      "problem 371 of 3091 has scores\n",
      " Rating: -1\n",
      "problem 372 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 373 of 3091 has scores\n",
      " part 1: score 1.5\n",
      "problem 374 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 375 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 376 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 377 of 3091 has scores\n",
      " sub-problem: score 2\n",
      "problem 378 of 3091 has scores\n",
      " This problem is ill-defined and hence cannot be graded accurately.\n",
      "problem 379 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 380 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 381 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 382 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 383 of 3091 has scores\n",
      " score: -1\n",
      "problem 384 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 385 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 386 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 387 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 388 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 389 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 390 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 391 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 392 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 393 of 3091 has scores\n",
      " -1\n",
      "problem 394 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 395 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 396 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 397 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 398 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 399 of 3091 has scores\n",
      " part (a): score 0\n",
      "part (c): score 2\n",
      "part (e): score 2\n",
      "part (b): score 0\n",
      "part (d): score 0\n",
      "problem 400 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 401 of 3091 has scores\n",
      " Ill-defined problem: -1\n",
      "problem 402 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 403 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 404 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded, so it receives a score of -1.\n",
      "problem 405 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 406 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 407 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 408 of 3091 has scores\n",
      " Score: -1\n",
      "problem 409 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "part 4: score 0\n",
      "problem 410 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 411 of 3091 has scores\n",
      " Score: -1\n",
      "problem 412 of 3091 has scores\n",
      " score: -1\n",
      "problem 413 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 414 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 415 of 3091 has scores\n",
      " Score: -1\n",
      "problem 416 of 3091 has scores\n",
      " ill-defined: score -1\n",
      "problem 417 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 418 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 419 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 420 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 421 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 422 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 423 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 424 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 425 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 426 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 427 of 3091 has scores\n",
      " This problem is ill-defined, and therefore the grade for this problem is:\n",
      "part 1: score -1\n",
      "problem 428 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 429 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 430 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 431 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 432 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 433 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 434 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 435 of 3091 has scores\n",
      " score: 2\n",
      "problem 436 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 437 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 438 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 439 of 3091 has scores\n",
      " Score: -1\n",
      "problem 440 of 3091 has scores\n",
      " Sub-problem: score 2\n",
      "problem 441 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 442 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 443 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 444 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 445 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 446 of 3091 has scores\n",
      " This question is ill-defined, so the score is:\n",
      "part 1: score -1\n",
      "problem 447 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 448 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 449 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 450 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 451 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 452 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 453 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 454 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 455 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 456 of 3091 has scores\n",
      " Overall: score -1\n",
      "problem 457 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 458 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 459 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 460 of 3091 has scores\n",
      " This question is ill-defined and does not have sub-problems to grade.\n",
      "problem 461 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 462 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 463 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 464 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 465 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 466 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 467 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 468 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 469 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 470 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 471 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 472 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 473 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 474 of 3091 has scores\n",
      " Score: -1\n",
      "problem 475 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 476 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 477 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 478 of 3091 has scores\n",
      " Score: -1\n",
      "problem 479 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 480 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 481 of 3091 has scores\n",
      " Rating: -1\n",
      "problem 482 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 483 of 3091 has scores\n",
      " This problem is ill-defined, and I will give it a score of -1.\n",
      "problem 484 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 485 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 486 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 487 of 3091 has scores\n",
      " This question is marked as ill-defined and does not have specific sub-problems to grade.\n",
      "problem 488 of 3091 has scores\n",
      " score: -1\n",
      "problem 489 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 490 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 491 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 492 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 493 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 494 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 495 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 496 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 497 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 498 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 499 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 500 of 3091 has scores\n",
      " This problem is ill-defined, so there are no specific parts to grade.\n",
      "problem 501 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 502 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 503 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 504 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 505 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 506 of 3091 has scores\n",
      " Sub-problem: score 2\n",
      "problem 507 of 3091 has scores\n",
      " The question is ill-defined.\n",
      "problem 508 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 509 of 3091 has scores\n",
      " Score: -1\n",
      "problem 510 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 511 of 3091 has scores\n",
      " sub-problem 1: score 1\n",
      "problem 512 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 513 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 514 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 515 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 516 of 3091 has scores\n",
      " Score: -1\n",
      "problem 517 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 518 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 519 of 3091 has scores\n",
      " Ill-defined problem: -1\n",
      "problem 520 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 521 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 522 of 3091 has scores\n",
      " score: -1\n",
      "problem 523 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 524 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 525 of 3091 has scores\n",
      " part 1: score 1.5\n",
      "problem 526 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 527 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 528 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 529 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 530 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 531 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 532 of 3091 has scores\n",
      " Score: -1\n",
      "problem 533 of 3091 has scores\n",
      " score: -1\n",
      "problem 534 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 535 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 536 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 537 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 538 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 539 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 540 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 541 of 3091 has scores\n",
      " Part 1: Score -1\n",
      "problem 542 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 543 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 544 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 545 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 546 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded.\n",
      "problem 547 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 548 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 549 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 550 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 551 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 552 of 3091 has scores\n",
      " No clear question or statement to evaluate the student's response. Therefore, the score for this problem is -1.\n",
      "problem 553 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 554 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 555 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 556 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 557 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, the grade is:\n",
      "part 1: score -1\n",
      "problem 558 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 559 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 560 of 3091 has scores\n",
      " This problem is ill-defined. Hence, the grades are as follows:\n",
      "part 1: score -1\n",
      "problem 561 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 562 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 563 of 3091 has scores\n",
      " Score: -1\n",
      "problem 564 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 565 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 566 of 3091 has scores\n",
      " score: -1\n",
      "problem 567 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 568 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 569 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 570 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 571 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 572 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 573 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 574 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 575 of 3091 has scores\n",
      " This was an ill-defined problem and cannot be graded.\n",
      "problem 576 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 577 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 578 of 3091 has scores\n",
      " This question is ill-defined. So, the overall score is:\n",
      "-1\n",
      "problem 579 of 3091 has scores\n",
      " Score: -1\n",
      "problem 580 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 581 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 582 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 583 of 3091 has scores\n",
      " score: -1\n",
      "problem 584 of 3091 has scores\n",
      " This problem is ill-defined, and therefore the grade is:\n",
      "part 1: score -1\n",
      "problem 585 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 586 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 587 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 588 of 3091 has scores\n",
      " Score: -1\n",
      "problem 589 of 3091 has scores\n",
      " score: -1\n",
      "problem 590 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 591 of 3091 has scores\n",
      " This problem is ill-defined, as it lacks a specific prompt or question for the student to address.\n",
      "Therefore, the score is as follows:\n",
      "-1\n",
      "problem 592 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 593 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 594 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 595 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 596 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 597 of 3091 has scores\n",
      " score: -1\n",
      "problem 598 of 3091 has scores\n",
      " As the problem is ill-defined, there are no sub-problems to grade. \n",
      "\n",
      "Score:\n",
      "ill-defined: -1\n",
      "problem 599 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 600 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 601 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 602 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 603 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 604 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 605 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 606 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 607 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 608 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 609 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 610 of 3091 has scores\n",
      " score -1\n",
      "problem 611 of 3091 has scores\n",
      " This problem is ill-defined, and therefore the grade is:\n",
      "part 1: score -1\n",
      "problem 612 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 613 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 614 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 615 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded as per the given response by the student. \n",
      "\n",
      "-1 points\n",
      "problem 616 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 617 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 618 of 3091 has scores\n",
      " This question is ill-defined, so the grade for the student's answer is:\n",
      "-1\n",
      "problem 619 of 3091 has scores\n",
      " Grade: \n",
      "part 1: score -1\n",
      "problem 620 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 621 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 622 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 623 of 3091 has scores\n",
      " There are no clear sub-problems to grade in this context as the problem is ill-defined.\n",
      "problem 624 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 625 of 3091 has scores\n",
      " The problem is ill-defined. Score: -1\n",
      "problem 626 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 627 of 3091 has scores\n",
      " Score: -1\n",
      "problem 628 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 629 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 630 of 3091 has scores\n",
      " This problem is ill-defined, so it cannot be graded. Score: -1\n",
      "problem 631 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 632 of 3091 has scores\n",
      " This was an ill-defined problem, the student cannot proceed without knowing the content of equation or statement 8.13.\n",
      "part 1: score -1\n",
      "problem 633 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 634 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 635 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 636 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 637 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 638 of 3091 has scores\n",
      " Score: -1\n",
      "problem 639 of 3091 has scores\n",
      " Score: -1\n",
      "problem 640 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 641 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 642 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 643 of 3091 has scores\n",
      " This question is ill-defined. Therefore, the grading for each part will be:\n",
      "\n",
      "part 1: score -1\n",
      "problem 644 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 645 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 646 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 647 of 3091 has scores\n",
      " Score: -1\n",
      "problem 648 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "-1\n",
      "problem 649 of 3091 has scores\n",
      " Score: -1\n",
      "problem 650 of 3091 has scores\n",
      " Grading: \n",
      "part 1: score -1\n",
      "problem 651 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 652 of 3091 has scores\n",
      " Score: -1\n",
      "problem 653 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 654 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 655 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 656 of 3091 has scores\n",
      " Score: \n",
      "part 1: -1\n",
      "problem 657 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 658 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 659 of 3091 has scores\n",
      " score: -1\n",
      "problem 660 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 661 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 662 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 663 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 664 of 3091 has scores\n",
      " Score: \n",
      "part 1: score -1\n",
      "problem 665 of 3091 has scores\n",
      " Sub-problem 1: score 2\n",
      "problem 666 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 667 of 3091 has scores\n",
      " Score: -1\n",
      "problem 668 of 3091 has scores\n",
      " This problem is ill-defined, so there are no parts to grade.\n",
      "problem 669 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 670 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 671 of 3091 has scores\n",
      " Score:\n",
      "part 1: 2\n",
      "problem 672 of 3091 has scores\n",
      " score: -1\n",
      "problem 673 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 674 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 675 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 676 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 677 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 678 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 679 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 680 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 681 of 3091 has scores\n",
      " This problem is ill-defined, hence the grade is:\n",
      "part 1: score -1\n",
      "problem 682 of 3091 has scores\n",
      " The problem is ill-defined, and therefore cannot be graded accurately.\n",
      "problem 683 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 684 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 685 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 686 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 687 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 688 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 689 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 690 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 691 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 692 of 3091 has scores\n",
      " The problem is ill-defined, and therefore, cannot be accurately graded.\n",
      "problem 693 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 694 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 695 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 696 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 697 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 698 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 699 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 700 of 3091 has scores\n",
      " This problem is qualitative:\n",
      "part 1: score 2\n",
      "problem 701 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 702 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 703 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 704 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 705 of 3091 has scores\n",
      " Score: \n",
      "Ill-defined problem: score -1\n",
      "problem 706 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 707 of 3091 has scores\n",
      " score: -1\n",
      "problem 708 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 709 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "part 1: score -1\n",
      "problem 710 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 711 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 712 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 713 of 3091 has scores\n",
      " score: -1\n",
      "problem 714 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 715 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 716 of 3091 has scores\n",
      " Score: -1\n",
      "problem 717 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded.\n",
      "problem 718 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 719 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 720 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 721 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 722 of 3091 has scores\n",
      " This is not a question that can be graded using the typical criteria, as it does not involve specific computations or solutions.\n",
      "problem 723 of 3091 has scores\n",
      " This problem is ill-defined, as explained by the student. Hence the grade is:\n",
      "part 1: score -1\n",
      "problem 724 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 725 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 726 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 727 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 728 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 729 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 730 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 731 of 3091 has scores\n",
      " score: -1\n",
      "problem 732 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 733 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 734 of 3091 has scores\n",
      " Part 1: score 2\n",
      "problem 735 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 736 of 3091 has scores\n",
      " This question is ill-defined and does not provide specific sub-problems or tasks to grade the student's answer. Thus, the rating for this question is -1.\n",
      "problem 737 of 3091 has scores\n",
      " score -1\n",
      "problem 738 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 739 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 740 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 741 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 742 of 3091 has scores\n",
      " Ill-defined problem: -1\n",
      "problem 743 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 744 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 745 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 746 of 3091 has scores\n",
      " Score: -1\n",
      "problem 747 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 748 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 749 of 3091 has scores\n",
      " Score: -1\n",
      "problem 750 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 751 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 752 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 753 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 754 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 755 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 756 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 757 of 3091 has scores\n",
      " Sub-problem: score 0\n",
      "problem 758 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 759 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 760 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 761 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 762 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 763 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 764 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 765 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 766 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 767 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 768 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 769 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 770 of 3091 has scores\n",
      " No sub-problems to grade as the question is ill-defined.\n",
      "problem 771 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 772 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 773 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 774 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 775 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 776 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 777 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 778 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 779 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 780 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 781 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 782 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 783 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 784 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 785 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 786 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 787 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 788 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 789 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 790 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 791 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "problem 792 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 793 of 3091 has scores\n",
      " Score: -1\n",
      "problem 794 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 795 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 796 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 797 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "problem 798 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 799 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 800 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 801 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 802 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 803 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 804 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 805 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 806 of 3091 has scores\n",
      " This problem is ill-defined, so the grading cannot be accurately done.\n",
      "part 1: score -1\n",
      "problem 807 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 808 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 809 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 810 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 811 of 3091 has scores\n",
      " Sub-problem: score 2\n",
      "problem 812 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 813 of 3091 has scores\n",
      " The problem is ill-defined. Hence, the score is:\n",
      "part 1: score -1\n",
      "problem 814 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 815 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 816 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 817 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 818 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 819 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 820 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 821 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 822 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 823 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 824 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 825 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 826 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 827 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 2\n",
      "part (c): score 2\n",
      "problem 828 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 829 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 830 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 831 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 832 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 833 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 834 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 835 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 836 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 837 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 838 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 839 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 840 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 841 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 842 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 843 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 844 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 845 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "problem 846 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 847 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 848 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 849 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 850 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 851 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 852 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded effectively.\n",
      "problem 853 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 854 of 3091 has scores\n",
      " The problem is ill-defined, hence the grade is -1.\n",
      "problem 855 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 856 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 857 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 858 of 3091 has scores\n",
      " Sub-problem 1: score 2\n",
      "problem 859 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 860 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 861 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 862 of 3091 has scores\n",
      " score: -1\n",
      "problem 863 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 864 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "part 1: score -1\n",
      "problem 865 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 866 of 3091 has scores\n",
      " This problem is ill-defined, hence the grading is as follows:\n",
      "part 1: score -1\n",
      "problem 867 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 868 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 869 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 870 of 3091 has scores\n",
      " Score: -1\n",
      "problem 871 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 872 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 873 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 874 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 875 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 876 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 877 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 878 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 879 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 880 of 3091 has scores\n",
      " sub-problem: score 2\n",
      "problem 881 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 882 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 883 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 884 of 3091 has scores\n",
      " Ill-defined problem: -1\n",
      "problem 885 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 886 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 887 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 888 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 889 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 890 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 891 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 892 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 893 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 894 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 895 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 896 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded.\n",
      "problem 897 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 898 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 899 of 3091 has scores\n",
      " Overall: score -1\n",
      "problem 900 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 901 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 902 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 903 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 904 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 905 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 906 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 907 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 908 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 909 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 910 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 911 of 3091 has scores\n",
      " The problem is ill-defined, so the grading for the student's answer is:\n",
      "part 1: score -1\n",
      "problem 912 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 913 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 914 of 3091 has scores\n",
      " This problem is ill-defined, so the score is -1.\n",
      "problem 915 of 3091 has scores\n",
      " The problem is ill-defined. Therefore, the score is -1.\n",
      "problem 916 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 917 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded.\n",
      "problem 918 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 919 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 920 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 921 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 922 of 3091 has scores\n",
      " ill-defined: score -1\n",
      "problem 923 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 924 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 925 of 3091 has scores\n",
      " score: -1\n",
      "problem 926 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 927 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 928 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 929 of 3091 has scores\n",
      " Score: 2\n",
      "problem 930 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 931 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 932 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 933 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 934 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 935 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 936 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 937 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 938 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 939 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 940 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 941 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "part 3: score -1\n",
      "part 4: score -1\n",
      "problem 942 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "part 5: score 1\n",
      "problem 943 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 944 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 945 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 946 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 947 of 3091 has scores\n",
      " Score: \n",
      "part 1: score -1\n",
      "problem 948 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 949 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 950 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "part 3: score -1\n",
      "problem 951 of 3091 has scores\n",
      " Score: -1\n",
      "problem 952 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 953 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 954 of 3091 has scores\n",
      " Score: \n",
      "part 1: score -1\n",
      "problem 955 of 3091 has scores\n",
      " This problem is ill-defined, and therefore, the grading is as follows:\n",
      "\n",
      "part 1: score -1\n",
      "problem 956 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 957 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 958 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 959 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 960 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 961 of 3091 has scores\n",
      " Score:  \n",
      "part 1: score -1\n",
      "problem 962 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 963 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 964 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 965 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 966 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 967 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 968 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 969 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 970 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, a grading score cannot be provided.\n",
      "problem 971 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 972 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 973 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 974 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 975 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 976 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 977 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 978 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 979 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 980 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 981 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 982 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 983 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 984 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 985 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 986 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 987 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 988 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 989 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 990 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 991 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 992 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 993 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 994 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 995 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 996 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 997 of 3091 has scores\n",
      " This problem is ill-defined. Score: -1\n",
      "problem 998 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 999 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1000 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1001 of 3091 has scores\n",
      " Score: \n",
      "part 1: -1\n",
      "problem 1002 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "part 5: score 2\n",
      "part 6: score 1\n",
      "problem 1003 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 1004 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1005 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1006 of 3091 has scores\n",
      " part 1: 2\n",
      "part 2: 2\n",
      "problem 1007 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1008 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1009 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1010 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1011 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1012 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1013 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1014 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1015 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 1016 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "problem 1017 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1018 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1019 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1020 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1021 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1022 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1023 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 1024 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1025 of 3091 has scores\n",
      " Main sub-problem: 2\n",
      "problem 1026 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1027 of 3091 has scores\n",
      " score: -1\n",
      "problem 1028 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1029 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1030 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1031 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1032 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1033 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1034 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1035 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1036 of 3091 has scores\n",
      " sub-problem 1: score 2\n",
      "problem 1037 of 3091 has scores\n",
      " The question is ill-defined.\n",
      "problem 1038 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1039 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1040 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1041 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1042 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 0\n",
      "problem 1043 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1044 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1045 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1046 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1047 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1048 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1049 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1050 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1051 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1052 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1053 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1054 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1055 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1056 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 1057 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1058 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1059 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1060 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1061 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 1062 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1063 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1064 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1065 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1066 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1067 of 3091 has scores\n",
      " The problem is ill-defined\n",
      "problem 1068 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1069 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1070 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1071 of 3091 has scores\n",
      " The question is ill-defined.\n",
      "problem 1072 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1073 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1074 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1075 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded accurately. Therefore, the score is:\n",
      "part 1: score -1\n",
      "problem 1076 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1077 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1078 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1079 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1080 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1081 of 3091 has scores\n",
      " This problem is ill-defined, as described above.\n",
      "-1\n",
      "problem 1082 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1083 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1084 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1085 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1086 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1087 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1088 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1089 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1090 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1091 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1092 of 3091 has scores\n",
      " This problem is ill-defined, so I will provide a score of:\n",
      "-1\n",
      "problem 1093 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "problem 1094 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1095 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1096 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1097 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1098 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1099 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 1100 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1101 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1102 of 3091 has scores\n",
      " part 10a: score 2\n",
      "part 10b: score 2\n",
      "problem 1103 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1104 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1105 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1106 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1107 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1108 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1109 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1110 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1111 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 1112 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1113 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1114 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "\n",
      "Grade: -1\n",
      "problem 1115 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1116 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1117 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1118 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1119 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1120 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1121 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1122 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1123 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1124 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1125 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1126 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1127 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1128 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1129 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1130 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1131 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1132 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1133 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1134 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1135 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1136 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1137 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1138 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1139 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1140 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1141 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1142 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1143 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1144 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1145 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1146 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1147 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1148 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1149 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1150 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1151 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1152 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1153 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1154 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 1155 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1156 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1157 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1158 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1159 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1160 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "problem 1161 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1162 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1163 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1164 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1165 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1166 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1167 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1168 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1169 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1170 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1171 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1172 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1173 of 3091 has scores\n",
      " Ill-defined problem: -1\n",
      "problem 1174 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1175 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 1176 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1177 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1178 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1179 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1180 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1181 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1182 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1183 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1184 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1185 of 3091 has scores\n",
      " This question is ill-defined, so there are no specific parts to grade. \n",
      "-1\n",
      "problem 1186 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1187 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1188 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1189 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1190 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1191 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1192 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1193 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1194 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1195 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1196 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1197 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1198 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1199 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1200 of 3091 has scores\n",
      " Score: \n",
      "part 1: -1\n",
      "problem 1201 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1202 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1203 of 3091 has scores\n",
      " part 1: score 1.5\n",
      "part 2: score 2\n",
      "problem 1204 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1205 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1206 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1207 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1208 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1209 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1210 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1211 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1212 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1213 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1214 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1215 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1216 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1217 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1218 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1219 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1220 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1221 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1.5\n",
      "problem 1222 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1223 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1224 of 3091 has scores\n",
      " score: -1\n",
      "problem 1225 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1226 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 1227 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1228 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1229 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1230 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1231 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1232 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1233 of 3091 has scores\n",
      " -1\n",
      "problem 1234 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded as it demands solving the system of equations and requires understanding of the solution process provided by the student.\n",
      "problem 1235 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 1236 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "problem 1237 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1238 of 3091 has scores\n",
      " This question is ill-defined and cannot be accurately graded in the context provided.\n",
      "problem 1239 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1240 of 3091 has scores\n",
      " This problem is ill-defined, so grading does not apply in this case.\n",
      "problem 1241 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1242 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1243 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1244 of 3091 has scores\n",
      " -1\n",
      "problem 1245 of 3091 has scores\n",
      " score: -1\n",
      "problem 1246 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1247 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1248 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1249 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1250 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1251 of 3091 has scores\n",
      " The problem is ill-defined. Therefore, the score is:\n",
      "part 1: score -1\n",
      "problem 1252 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1253 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1254 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1255 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1256 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1257 of 3091 has scores\n",
      " -1\n",
      "problem 1258 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1259 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1260 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1261 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1262 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1263 of 3091 has scores\n",
      " Sub-problem: score 1\n",
      "problem 1264 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1265 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1266 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 1267 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1268 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1269 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1270 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1271 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1272 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1273 of 3091 has scores\n",
      " This problem is ill-defined, and the grading is as follows:\n",
      "part 1: score -1\n",
      "problem 1274 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1275 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1276 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1277 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 1278 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1279 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1280 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1281 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1282 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1283 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 1284 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1285 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1286 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1287 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1288 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1289 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1290 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1291 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1292 of 3091 has scores\n",
      " This problem is ill-defined, as there are no specific criteria provided for grading the proof of Lemma 4.10. Therefore, the score is -1.\n",
      "problem 1293 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded as it lacks a clear instruction or prompt.\n",
      "problem 1294 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1295 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded as it requires proof verification rather than a calculation-based response.\n",
      "problem 1296 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1297 of 3091 has scores\n",
      " ill-defined: score -1\n",
      "problem 1298 of 3091 has scores\n",
      " This problem is ill-defined, and the score is -1.\n",
      "problem 1299 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1300 of 3091 has scores\n",
      " score -1\n",
      "problem 1301 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1302 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1303 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1304 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1305 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1306 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 1307 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded as there are no specific sub-problems mentioned to evaluate.\n",
      "problem 1308 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1309 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1310 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1311 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1312 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1313 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1314 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1315 of 3091 has scores\n",
      " sub-problem 1: score 2\n",
      "problem 1316 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1317 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1318 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1319 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1320 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1321 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1322 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1323 of 3091 has scores\n",
      " The problem is ill-defined. Score: -1\n",
      "problem 1324 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1325 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1326 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1327 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1328 of 3091 has scores\n",
      " The problem is ill-defined. Therefore, no grading can be provided.\n",
      "problem 1329 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1330 of 3091 has scores\n",
      " score: -1\n",
      "problem 1331 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1332 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1333 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1334 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 1335 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1336 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1337 of 3091 has scores\n",
      " score: -1\n",
      "problem 1338 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1339 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1340 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1341 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1342 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1343 of 3091 has scores\n",
      " score: -1\n",
      "problem 1344 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1345 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1346 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1347 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1348 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1349 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1350 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1351 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1352 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1353 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1354 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1.5\n",
      "problem 1355 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1356 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1357 of 3091 has scores\n",
      " Overall: score -1\n",
      "problem 1358 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1359 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1360 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1361 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1362 of 3091 has scores\n",
      " score -1\n",
      "problem 1363 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1364 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1365 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1366 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1367 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1368 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1369 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1370 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 1371 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1372 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1373 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1374 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1375 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1376 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1377 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1378 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1379 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1380 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1381 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1382 of 3091 has scores\n",
      " score: -1\n",
      "problem 1383 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1384 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1385 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1386 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1387 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1388 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1389 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1390 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1391 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1392 of 3091 has scores\n",
      " score: -1\n",
      "problem 1393 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1394 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1395 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1396 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1397 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 1398 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1399 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1400 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1401 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1402 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1403 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1404 of 3091 has scores\n",
      " This problem is ill-defined: score -1\n",
      "problem 1405 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1406 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1407 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1408 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1409 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 1410 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1411 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1412 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1413 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1414 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1415 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1416 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1417 of 3091 has scores\n",
      " This problem is ill-defined, and thus cannot be graded in the context of the provided answers. Therefore, no grading can be applied in this case.\n",
      "problem 1418 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1419 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1420 of 3091 has scores\n",
      " score: -1\n",
      "problem 1421 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1422 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1423 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1424 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1425 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1426 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1427 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1428 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1429 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1430 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1431 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1432 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1433 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1434 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1435 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1436 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1437 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1438 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1439 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 1440 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1441 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1442 of 3091 has scores\n",
      " score: -1\n",
      "problem 1443 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1444 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 1445 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1446 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1447 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1448 of 3091 has scores\n",
      " Overall: score 2\n",
      "problem 1449 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1450 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1451 of 3091 has scores\n",
      " score: -1\n",
      "problem 1452 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1453 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1454 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1455 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1456 of 3091 has scores\n",
      " The problem is ill-defined. So, all sub-problems receive a score of -1.\n",
      "problem 1457 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1458 of 3091 has scores\n",
      " Score: \n",
      "part 1: score -1\n",
      "problem 1459 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1460 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1461 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1462 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1463 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1464 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1465 of 3091 has scores\n",
      " part 1: score 1.5\n",
      "part 2: score 1.5\n",
      "problem 1466 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1467 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 1468 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1469 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1470 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1471 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1472 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1473 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1474 of 3091 has scores\n",
      " score: -1\n",
      "problem 1475 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, a score of -1 is given.\n",
      "problem 1476 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1477 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1478 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1479 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1480 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1481 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1482 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1483 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded as it requires a proof of a theorem rather than a calculation-based answer. Therefore, I cannot provide a grading for this question.\n",
      "problem 1484 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1485 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1486 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1487 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1488 of 3091 has scores\n",
      " score: -1\n",
      "problem 1489 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1490 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1491 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1492 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1493 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1494 of 3091 has scores\n",
      " This question is ill-defined, so there are no specific parts to grade. \n",
      "\n",
      "Score: -1\n",
      "problem 1495 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1496 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1497 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1498 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1499 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1500 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1501 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1502 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1503 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1504 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1505 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1506 of 3091 has scores\n",
      " part 1: score -1 \n",
      "problem 1507 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 1508 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 1509 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1510 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1511 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1512 of 3091 has scores\n",
      " Rating: -1\n",
      "problem 1513 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1514 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 1515 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1516 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1517 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1518 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1519 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1520 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1521 of 3091 has scores\n",
      " score -1\n",
      "problem 1522 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 1523 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "part 6: score 2\n",
      "problem 1524 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1525 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1526 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1527 of 3091 has scores\n",
      " score -1\n",
      "problem 1528 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1529 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1530 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1531 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1532 of 3091 has scores\n",
      " score: -1\n",
      "problem 1533 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1534 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1535 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1536 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1537 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1538 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "problem 1539 of 3091 has scores\n",
      " score: -1\n",
      "problem 1540 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1541 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1542 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1543 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1544 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1545 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1546 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1547 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1548 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1549 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1550 of 3091 has scores\n",
      " score: -1\n",
      "problem 1551 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1552 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1553 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1554 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1555 of 3091 has scores\n",
      " Part 1: score -1\n",
      "problem 1556 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1557 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1558 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1559 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1560 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1561 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1562 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 1563 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "problem 1564 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1565 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1566 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1567 of 3091 has scores\n",
      " Score: \n",
      "part 1: -1\n",
      "problem 1568 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1569 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1570 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1571 of 3091 has scores\n",
      " score: -1\n",
      "problem 1572 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1573 of 3091 has scores\n",
      " -1\n",
      "problem 1574 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1575 of 3091 has scores\n",
      " The problem is ill-defined. Hence, the score is -1\n",
      "problem 1576 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1577 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1578 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1579 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "problem 1580 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1581 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1582 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1583 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1584 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1585 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 1586 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1587 of 3091 has scores\n",
      " score: -1\n",
      "problem 1588 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1589 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "problem 1590 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded.\n",
      "problem 1591 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1592 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1593 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1594 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "problem 1595 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1596 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1597 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1598 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1599 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1600 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1601 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1602 of 3091 has scores\n",
      " rating: -1\n",
      "problem 1603 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1604 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1605 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1606 of 3091 has scores\n",
      " sub-problem 1: score 2\n",
      "problem 1607 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1608 of 3091 has scores\n",
      " score: -1\n",
      "problem 1609 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1610 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1611 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1612 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1613 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1614 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1615 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1616 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1617 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1618 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1619 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1620 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1621 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1622 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1623 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1624 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1625 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1626 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1627 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1628 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1629 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1630 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1631 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1632 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1633 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1634 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1635 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1636 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1637 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1638 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1639 of 3091 has scores\n",
      " part 1: score 1.5\n",
      "part 2: score 0.5\n",
      "part 3: score 2\n",
      "problem 1640 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1641 of 3091 has scores\n",
      " This problem is ill-defined, so there are no sub-problems to grade. The overall score is -1.\n",
      "problem 1642 of 3091 has scores\n",
      " score: -1\n",
      "problem 1643 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1644 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1645 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1646 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1647 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1648 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1649 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1650 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 1651 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1652 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1653 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1654 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1655 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1656 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1657 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1658 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1659 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1660 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1661 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1662 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1663 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1664 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1665 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1666 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1667 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1668 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1669 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1670 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1671 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1672 of 3091 has scores\n",
      " part 1: score 1.5\n",
      "part 2: score 1.5\n",
      "part 3: score 1.5\n",
      "part 4: score 1.5\n",
      "part 5: score 1\n",
      "problem 1673 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1674 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 1675 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1676 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1677 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1678 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1679 of 3091 has scores\n",
      " This question is ill-defined, and grading cannot be applied. Therefore, the score is -1.\n",
      "problem 1680 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1681 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1682 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1683 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1684 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1685 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1686 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1687 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1688 of 3091 has scores\n",
      " This problem is ill-defined, and thus the grading is as follows:\n",
      "part 1: score -1\n",
      "problem 1689 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1690 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1691 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1692 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1693 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1694 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1695 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1696 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1697 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1698 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1699 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 0\n",
      "part 5: score 2\n",
      "problem 1700 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1701 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1702 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1703 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1704 of 3091 has scores\n",
      " This problem is ill-defined, and thus, there are no sub-problems to grade. Therefore, the overall score for this problem is -1.\n",
      "problem 1705 of 3091 has scores\n",
      " This problem is ill-defined and cannot be graded.\n",
      "problem 1706 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1707 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1708 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1709 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1710 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1711 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1712 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1713 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1714 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1715 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1716 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1717 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1718 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1719 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1720 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1721 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1722 of 3091 has scores\n",
      " Ill-defined problem: -1 points\n",
      "problem 1723 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1724 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, the grade is as follows:\n",
      "part 1: score -1\n",
      "problem 1725 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1726 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1727 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1728 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1729 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1730 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1731 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1732 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1733 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1734 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1735 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1736 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1737 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1738 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1739 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1740 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 1741 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1742 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1743 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1744 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1745 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1746 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1747 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1748 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1749 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1750 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1751 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1752 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 1753 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1754 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "problem 1755 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1756 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1757 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1758 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1759 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1760 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1761 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1762 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1763 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 1764 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1765 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1766 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1767 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1768 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 1769 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1770 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1771 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1772 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1773 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1774 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1775 of 3091 has scores\n",
      " part (a): score 1\n",
      "part (b): score 2\n",
      "part (c): score 2\n",
      "part (d): score 2\n",
      "problem 1776 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1777 of 3091 has scores\n",
      " score: -1\n",
      "problem 1778 of 3091 has scores\n",
      " -\n",
      "-1\n",
      "problem 1779 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 1780 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1781 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1782 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1783 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1784 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1785 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1786 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1787 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1788 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1789 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1790 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1791 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 1792 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1793 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "\n",
      "part 1: score -1\n",
      "part 2: score -1\n",
      "problem 1794 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1795 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1796 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1797 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1798 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1799 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1800 of 3091 has scores\n",
      " sub-problem 1: score 2\n",
      "problem 1801 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1802 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1803 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1804 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1805 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1806 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1807 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 1808 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 1809 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 1810 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1811 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1812 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1813 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1814 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "part 4: score 0\n",
      "problem 1815 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1816 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 1817 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1818 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1819 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1820 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "problem 1821 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1822 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1823 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1824 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1825 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1826 of 3091 has scores\n",
      " part 1: score 0.5\n",
      "part 2: score 0.5\n",
      "problem 1827 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1828 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1829 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1830 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1831 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1832 of 3091 has scores\n",
      " part 1: score 0.5\n",
      "part 2: score 1.5\n",
      "problem 1833 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1834 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1835 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1836 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1837 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1838 of 3091 has scores\n",
      " -1\n",
      "problem 1839 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1840 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1841 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1842 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1843 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1844 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1845 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1846 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1847 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1848 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1849 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1850 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1851 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1852 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1853 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1854 of 3091 has scores\n",
      " score: -1\n",
      "problem 1855 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1856 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1857 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1858 of 3091 has scores\n",
      " Step 1: score 2\n",
      "Step 2: score 1\n",
      "Step 3: score 2\n",
      "Step 4: score 2\n",
      "Step 5: score 2\n",
      "Step 6: score 2\n",
      "problem 1859 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1860 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded as it requires a judgment beyond standard mathematical analysis or calculations to determine the correctness of the proof. Therefore, the rating for this question is -1 points.\n",
      "problem 1861 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1862 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1863 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1864 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1865 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1866 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1867 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1868 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1869 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1870 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 1871 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1872 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1873 of 3091 has scores\n",
      " Since the problem is ill-defined, the grade for this submission is as follows:\n",
      "\n",
      "part 1: score -1\n",
      "problem 1874 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1875 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, it cannot be accurately graded.\n",
      "\n",
      "Score: -1\n",
      "problem 1876 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1877 of 3091 has scores\n",
      " This problem is ill-defined, and cannot be graded in the context provided.\n",
      "\n",
      "- Rating: -1 points\n",
      "problem 1878 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1879 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1880 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 1881 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 1\n",
      "problem 1882 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1883 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1884 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 1885 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1886 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1887 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1888 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1889 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1890 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1891 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1892 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1893 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1894 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1895 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1896 of 3091 has scores\n",
      " sub-problem 1: score 0\n",
      "problem 1897 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1898 of 3091 has scores\n",
      " This problem is ill-defined. Score: -1\n",
      "problem 1899 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1900 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1901 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1902 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1903 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1904 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1905 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1906 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1907 of 3091 has scores\n",
      " This question is ill-defined and cannot be answered.\n",
      "problem 1908 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1909 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 1910 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1911 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1912 of 3091 has scores\n",
      " This problem is ill-defined, and grading cannot be performed accurately. \n",
      "Score: -1\n",
      "problem 1913 of 3091 has scores\n",
      " Score: -1\n",
      "problem 1914 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "part 6: score 2\n",
      "problem 1915 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1916 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1917 of 3091 has scores\n",
      " score -1\n",
      "problem 1918 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1919 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1920 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1921 of 3091 has scores\n",
      " score 1\n",
      "problem 1922 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1923 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1924 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1925 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1926 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "part 5: score 1\n",
      "problem 1927 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1928 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1929 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1930 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1931 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1932 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1933 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1934 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 1935 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 1936 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1937 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 1938 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "part 4: score 0\n",
      "part 5: score 0\n",
      "problem 1939 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1940 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1941 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1942 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1943 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1944 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1945 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1946 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1947 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1948 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1949 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1950 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1951 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1952 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1953 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1954 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 1955 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1956 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1957 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1958 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 1959 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1960 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 1961 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1962 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1963 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1964 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1965 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 1966 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1967 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 1968 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1969 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1970 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1971 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1972 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1973 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1974 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1975 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1976 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1977 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1978 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 1979 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 1980 of 3091 has scores\n",
      " sub-problem 1: score 2\n",
      "problem 1981 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1982 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1983 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 1984 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1985 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1986 of 3091 has scores\n",
      " The problem is ill-defined, so there are no scores to assign.\n",
      "problem 1987 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 1988 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 1989 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1990 of 3091 has scores\n",
      " score: -1\n",
      "problem 1991 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 1992 of 3091 has scores\n",
      " score: -1\n",
      "problem 1993 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "problem 1994 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1995 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1996 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 1997 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 1998 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 1999 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2000 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2001 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2002 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2003 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2004 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2005 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2006 of 3091 has scores\n",
      " This problem is considered ill-defined, and therefore the grading is as follows:\n",
      "\n",
      "part 1: score -1\n",
      "problem 2007 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2008 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2009 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2010 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 2011 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "problem 2012 of 3091 has scores\n",
      " The problem is ill-defined. Therefore, no grading scores can be provided.\n",
      "problem 2013 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2014 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2015 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2016 of 3091 has scores\n",
      " score 2\n",
      "problem 2017 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2018 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2019 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2020 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2021 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2022 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2023 of 3091 has scores\n",
      " Part 1: score -1\n",
      "problem 2024 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2025 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2026 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2027 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2028 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2029 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2030 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2031 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2032 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2033 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2034 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2035 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2036 of 3091 has scores\n",
      " This problem is ill-defined. No grading can be provided.\n",
      "problem 2037 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2038 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2039 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2040 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2041 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2042 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2043 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2044 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2045 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2046 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2047 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2048 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2049 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2050 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2051 of 3091 has scores\n",
      " Sub-problem 1: score 2\n",
      "problem 2052 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2053 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2054 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2055 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2056 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2057 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2058 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2059 of 3091 has scores\n",
      " score: -1\n",
      "problem 2060 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "problem 2061 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2062 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2063 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2064 of 3091 has scores\n",
      " The problem is ill-defined. Hence, I cannot provide a grade for the student's answer.\n",
      "part 1: score -1\n",
      "problem 2065 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2066 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2067 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2068 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2069 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2070 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2071 of 3091 has scores\n",
      " This problem is ill-defined. Hence, there are no sub-problems to grade. \n",
      "part 1: score -1\n",
      "problem 2072 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2073 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2074 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2075 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2076 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2077 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2078 of 3091 has scores\n",
      " Ill-defined problem.\n",
      "problem 2079 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2080 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2081 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2082 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2083 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2084 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2085 of 3091 has scores\n",
      " part 1: score 1.5\n",
      "part 2: score 1.5\n",
      "problem 2086 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2087 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2088 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2089 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2090 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2091 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2092 of 3091 has scores\n",
      " The problem is ill-defined. Hence, all sub-problems receive a score of -1.\n",
      "problem 2093 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2094 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2095 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2096 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2097 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2098 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2099 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded.\n",
      "problem 2100 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2101 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2102 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2103 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2104 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2105 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2106 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2107 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2108 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2109 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2110 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2111 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2112 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2113 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, no grading can be provided.\n",
      "problem 2114 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2115 of 3091 has scores\n",
      " This problem is ill-defined, and the grading is as follows:\n",
      "part 1: score -1\n",
      "problem 2116 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2117 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 2118 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2119 of 3091 has scores\n",
      " score: -1\n",
      "problem 2120 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2121 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2122 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2123 of 3091 has scores\n",
      " -1\n",
      "problem 2124 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2125 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2126 of 3091 has scores\n",
      " score: -1\n",
      "problem 2127 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2128 of 3091 has scores\n",
      " rating: -1\n",
      "problem 2129 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2130 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "part 1: score -1\n",
      "problem 2131 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2132 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2133 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2134 of 3091 has scores\n",
      " Sub-problem: 2 points\n",
      "problem 2135 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2136 of 3091 has scores\n",
      " The problem is ill-defined. Score: -1\n",
      "problem 2137 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2138 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 2139 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2140 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2141 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2142 of 3091 has scores\n",
      " This problem is ill-defined. Hence, the ratings will be as follows:\n",
      "Part 1: score -1\n",
      "problem 2143 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2144 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2145 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2146 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2147 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2148 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2149 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2150 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2151 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2152 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2153 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2154 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, no grading can be provided.\n",
      "problem 2155 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 2156 of 3091 has scores\n",
      " This problem is ill-defined as the student provided a detailed explanation without explicitly calculating either the surface integral of the curl over the surface or the line integral around the boundary curve and comparing both sides to verify Stokes's theorem. Therefore, the answer cannot be graded in its current form.\n",
      "problem 2157 of 3091 has scores\n",
      " This problem is ill-defined, and thus the grading cannot be performed.\n",
      "problem 2158 of 3091 has scores\n",
      " -1\n",
      "problem 2159 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2160 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2161 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2162 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2163 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2164 of 3091 has scores\n",
      " sub-problem 1: score 2\n",
      "problem 2165 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2166 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2167 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2168 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2169 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2170 of 3091 has scores\n",
      " The problem is ill-defined. Therefore, the grade is:\n",
      "part 1: score -1\n",
      "problem 2171 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2172 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2173 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2174 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2175 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2176 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2177 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2178 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2179 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2180 of 3091 has scores\n",
      " This problem is ill-defined and does not have sub-problems to grade.\n",
      "problem 2181 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2182 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2183 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2184 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2185 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2186 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2187 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2188 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2189 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2190 of 3091 has scores\n",
      " This problem is ill-defined. Hence, the rating is -1.\n",
      "problem 2191 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 2192 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2193 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2194 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2195 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2196 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2197 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2198 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2199 of 3091 has scores\n",
      " ill-defined: score -1\n",
      "problem 2200 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2201 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2202 of 3091 has scores\n",
      " This question is ill-defined, and the score for this question is -1.\n",
      "problem 2203 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2204 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2205 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2206 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 1\n",
      "part (c): score 2\n",
      "part (d): score 2\n",
      "part (e): score 1\n",
      "problem 2207 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2208 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2209 of 3091 has scores\n",
      " Since the problem is ill-defined, there is no grading to be done.\n",
      "problem 2210 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2211 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2212 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2213 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2214 of 3091 has scores\n",
      " This problem is ill-defined, and therefore I rate it as:\n",
      "part 1: score -1\n",
      "problem 2215 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 2216 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2217 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2218 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2219 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2220 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2221 of 3091 has scores\n",
      " This problem is ill-defined, and hence, I cannot provide a grade breakdown. Thank you for understanding.\n",
      "problem 2222 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2223 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2224 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2225 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2226 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2227 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2228 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2229 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2230 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2231 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2232 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2233 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2234 of 3091 has scores\n",
      " The question is ill-defined, and I would rate it as follows:\n",
      "part 1: score -1\n",
      "problem 2235 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2236 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2237 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2238 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2239 of 3091 has scores\n",
      " Score: \n",
      "part 1: -1\n",
      "problem 2240 of 3091 has scores\n",
      " This problem is ill-defined. No grading can be provided.\n",
      "problem 2241 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2242 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2243 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2244 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2245 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2246 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2247 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2248 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2249 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2250 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2251 of 3091 has scores\n",
      " This question is ill-defined, thus:\n",
      "part 1: score -1\n",
      "problem 2252 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2253 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2254 of 3091 has scores\n",
      " Grade for the student's answer:\n",
      "part 1: score 2\n",
      "problem 2255 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2256 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2257 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2258 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2259 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2260 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2261 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2262 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2263 of 3091 has scores\n",
      " There are no sub-problems to grade as the problem is ill-defined.\n",
      "problem 2264 of 3091 has scores\n",
      " part 1: score 2  \n",
      "part 2: score 2\n",
      "problem 2265 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2266 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2267 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2268 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2269 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2270 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2271 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2272 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2273 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2274 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2275 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2276 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2277 of 3091 has scores\n",
      " ill-defined problem: score -1\n",
      "problem 2278 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2279 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2280 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2281 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2282 of 3091 has scores\n",
      " This question does not involve separate sub-problems to grade.\n",
      "problem 2283 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2284 of 3091 has scores\n",
      " score: -1\n",
      "problem 2285 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2286 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2287 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2288 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2289 of 3091 has scores\n",
      " rating: -1\n",
      "problem 2290 of 3091 has scores\n",
      " This question is ill-defined: score -1\n",
      "problem 2291 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2292 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2293 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2294 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2295 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2296 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2297 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2298 of 3091 has scores\n",
      " Ill-defined problem.\n",
      "problem 2299 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 1\n",
      "part (c): score 1\n",
      "problem 2300 of 3091 has scores\n",
      " This problem is not applicable for grading as it requires a proof and reasoning rather than a simple calculation or evaluation.\n",
      "problem 2301 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2302 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2303 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2304 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2305 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2306 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1.5\n",
      "part 4: score 1.5\n",
      "problem 2307 of 3091 has scores\n",
      " This problem is ill-defined, so no specific grading can be provided. \n",
      "\n",
      "-1 points\n",
      "problem 2308 of 3091 has scores\n",
      " This problem is ill-defined, and no grading can be given.\n",
      "problem 2309 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2310 of 3091 has scores\n",
      " Score: \n",
      "part 1: -1\n",
      "problem 2311 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2312 of 3091 has scores\n",
      " Ill-defined problem: -1\n",
      "problem 2313 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2314 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2315 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "problem 2316 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2317 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2318 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2319 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2320 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2321 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2322 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2323 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2324 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2325 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2326 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2327 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 2328 of 3091 has scores\n",
      " The problem is ill-defined, and no grading can be provided. Hence, the grade is -1.\n",
      "problem 2329 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2330 of 3091 has scores\n",
      " Ill-defined problem.\n",
      "problem 2331 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 2332 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2333 of 3091 has scores\n",
      " score: -1\n",
      "problem 2334 of 3091 has scores\n",
      " ill-defined: score -1\n",
      "problem 2335 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2336 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2337 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2338 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2339 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2340 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2341 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2342 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2343 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2344 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2345 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2346 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2347 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2348 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2349 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2350 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2351 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2352 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2353 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, the grade for this problem is -1.\n",
      "problem 2354 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2355 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 2356 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2357 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2358 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2359 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2360 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2361 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2362 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2363 of 3091 has scores\n",
      " This question is ill-defined: score -1\n",
      "problem 2364 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2365 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2366 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2367 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2368 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, no grading scores can be provided.\n",
      "problem 2369 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2370 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2371 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2372 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2373 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 2374 of 3091 has scores\n",
      " This problem is ill-defined, so the grading would be as follows:\n",
      "part 1: score -1\n",
      "problem 2375 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2376 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2377 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2378 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2379 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2380 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2381 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2382 of 3091 has scores\n",
      " This problem is ill-defined, and therefore, grading cannot be assessed.\n",
      "problem 2383 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2384 of 3091 has scores\n",
      " ill-defined: score -1\n",
      "problem 2385 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2386 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2387 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2388 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2389 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2390 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2391 of 3091 has scores\n",
      " score: -1\n",
      "problem 2392 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2393 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2394 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2395 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2396 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2397 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 2398 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2399 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2400 of 3091 has scores\n",
      " This problem is ill-defined. Score: -1\n",
      "problem 2401 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2402 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2403 of 3091 has scores\n",
      " This problem is ill-defined, so there are no specific parts to grade.\n",
      "problem 2404 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2405 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2406 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2407 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2408 of 3091 has scores\n",
      " Score: \n",
      "part 1: score -1\n",
      "problem 2409 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2410 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2411 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "problem 2412 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2413 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2414 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2415 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2416 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2417 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2418 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2419 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2420 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2421 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2422 of 3091 has scores\n",
      " The question is ill-defined.\n",
      "problem 2423 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "part 5: score 1\n",
      "problem 2424 of 3091 has scores\n",
      " Score: \n",
      "part 1: -1\n",
      "problem 2425 of 3091 has scores\n",
      " part (a): score 1\n",
      "part (b): score 1\n",
      "part (c): score 2\n",
      "part (d): score 2\n",
      "problem 2426 of 3091 has scores\n",
      " score: -1\n",
      "problem 2427 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2428 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2429 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "part 5: score 1\n",
      "problem 2430 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2431 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2432 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "part 6: score 2\n",
      "problem 2433 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 2434 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2435 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2436 of 3091 has scores\n",
      " Ill-defined problem.\n",
      "problem 2437 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 2438 of 3091 has scores\n",
      " score: -1\n",
      "problem 2439 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2440 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2441 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2442 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2443 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2444 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2445 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2446 of 3091 has scores\n",
      " This problem is ill-defined. Hence, the grading for each sub-problem is as follows:\n",
      "part 1: score -1\n",
      "problem 2447 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2448 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2449 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2450 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2451 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2452 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "part 4: score 2\n",
      "problem 2453 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2454 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2455 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2456 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2457 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2458 of 3091 has scores\n",
      " Ill-defined problem.\n",
      "problem 2459 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2460 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 2461 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2462 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2463 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2464 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2465 of 3091 has scores\n",
      " part 1a: score 2\n",
      "part 1b: score 2\n",
      "problem 2466 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2467 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2468 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2469 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2470 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2471 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2472 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2473 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2474 of 3091 has scores\n",
      " part 1: score 4\n",
      "problem 2475 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2476 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2477 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2478 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2479 of 3091 has scores\n",
      " Ill-defined problem: -1\n",
      "problem 2480 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2481 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2482 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2483 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2484 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2485 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2486 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2487 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "part 6: score 2\n",
      "problem 2488 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2489 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2490 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2491 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2492 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2493 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2494 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2495 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2496 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2497 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2498 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2499 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2500 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2501 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2502 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2503 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2504 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2505 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2506 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2507 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2508 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2509 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2510 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2511 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2512 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2513 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2514 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2515 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2516 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2517 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2518 of 3091 has scores\n",
      " part a: score 2\n",
      "part b: score 2\n",
      "part c: score 2\n",
      "part d: score 2\n",
      "problem 2519 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 2520 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2521 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2522 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2523 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2524 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2525 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2526 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2527 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2528 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2529 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2530 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2531 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2532 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2533 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2534 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2535 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2536 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2537 of 3091 has scores\n",
      " Part 1: score 2\n",
      "problem 2538 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2539 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2540 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2541 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2542 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2543 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2544 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2545 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2546 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2547 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2548 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2549 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2550 of 3091 has scores\n",
      " Part 1: score 2\n",
      "Part 2: score 2\n",
      "Part 3: score 2\n",
      "Part 4: score 2\n",
      "problem 2551 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2552 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "problem 2553 of 3091 has scores\n",
      " score: -1\n",
      "problem 2554 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2555 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2556 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2557 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2558 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2559 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2560 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2561 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2562 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2563 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2564 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2565 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2566 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2567 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 2568 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2569 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2570 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2571 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 2572 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2573 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2574 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2575 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2576 of 3091 has scores\n",
      " This problem is ill-defined, and no grading can be provided as there are no sub-problems. Therefore, the score is -1.\n",
      "problem 2577 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2578 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2579 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2580 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2581 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2582 of 3091 has scores\n",
      " Sub-problem: score 2\n",
      "problem 2583 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2584 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, the grading for this problem is -1 points.\n",
      "problem 2585 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2586 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2587 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2588 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2589 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2590 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2591 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2592 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2593 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2594 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2595 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2596 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2597 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2598 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2599 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2600 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2601 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "part 3: score -1\n",
      "part 4: score -1\n",
      "part 5: score -1\n",
      "problem 2602 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2603 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 2604 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2605 of 3091 has scores\n",
      " The problem is ill-defined, and hence the rating is:\n",
      "part 1: score -1\n",
      "problem 2606 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2607 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2608 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2609 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "\n",
      "Score: -1\n",
      "problem 2610 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2611 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2612 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2613 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4(i): score 2\n",
      "part 4(ii): score 2\n",
      "problem 2614 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2615 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2616 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2617 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2618 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2619 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 2620 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2621 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2622 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2623 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2624 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2625 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2626 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2627 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2628 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "part 1: score -1\n",
      "problem 2629 of 3091 has scores\n",
      " Grade: -1\n",
      "problem 2630 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2631 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2632 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2633 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2634 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2635 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "-1\n",
      "problem 2636 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "\n",
      "Grading: -1\n",
      "problem 2637 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "problem 2638 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2639 of 3091 has scores\n",
      " The problem is ill-defined and cannot be answered. Hence, the grade is as follows:\n",
      "-1\n",
      "problem 2640 of 3091 has scores\n",
      " ill-defined problem: score -1\n",
      "problem 2641 of 3091 has scores\n",
      " This problem is ill-defined. There are no sub-problems to grade. Score: -1\n",
      "problem 2642 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2643 of 3091 has scores\n",
      " This problem is incomplete and cannot be answered. It is ill-defined. No points can be awarded.\n",
      "problem 2644 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2645 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 2646 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 2647 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2648 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 2649 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "part 3: score 2\n",
      "problem 2650 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2651 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2652 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2653 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2654 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2655 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2656 of 3091 has scores\n",
      " Since the problem is ill-defined, I cannot provide a grade for the student's answer.\n",
      "problem 2657 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2658 of 3091 has scores\n",
      " Part 1: score 2\n",
      "problem 2659 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2660 of 3091 has scores\n",
      " score: -1\n",
      "problem 2661 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2662 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2663 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2664 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2665 of 3091 has scores\n",
      " This problem is ill-defined, and therefore the score is -1.\n",
      "problem 2666 of 3091 has scores\n",
      " This question is ill-defined and cannot be graded numerically.\n",
      "problem 2667 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2668 of 3091 has scores\n",
      " The problem is ill-defined, and therefore the student cannot be graded on their response. Hence, the grading would be:\n",
      "part 1: score -1\n",
      "problem 2669 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2670 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2671 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2672 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2673 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2674 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2675 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2676 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2677 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2678 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2679 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2680 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 2681 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2682 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2683 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2684 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2685 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2686 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2687 of 3091 has scores\n",
      " score: -1\n",
      "problem 2688 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2689 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "part 6: score 2\n",
      "problem 2690 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2691 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2692 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2693 of 3091 has scores\n",
      " This problem is ill-defined. There are no sub-problems to grade.\n",
      "problem 2694 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 2\n",
      "part (c): score 2\n",
      "part (d): score 1\n",
      "problem 2695 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2696 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2697 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2698 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2699 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2700 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2701 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2702 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2703 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2704 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2705 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2706 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2707 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2708 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2709 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2710 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2711 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2712 of 3091 has scores\n",
      " score: -1\n",
      "problem 2713 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2714 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2715 of 3091 has scores\n",
      " score 2\n",
      "problem 2716 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2717 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2718 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2719 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2720 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2721 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, there are no scores to assign.\n",
      "problem 2722 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2723 of 3091 has scores\n",
      " This question is ill-defined, so the grading is as follows:\n",
      "part 1: score -1\n",
      "problem 2724 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "part 3: score 1\n",
      "problem 2725 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2726 of 3091 has scores\n",
      " This problem is ill-defined, as the state diagram required to solve the question was not provided. The grade is:\n",
      "-1\n",
      "problem 2727 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2728 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2729 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2730 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2731 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2732 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2733 of 3091 has scores\n",
      " This problem is ill-defined. Hence, the score is:\n",
      "part 1: score -1\n",
      "problem 2734 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2735 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2736 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 2737 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2738 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2739 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2740 of 3091 has scores\n",
      " ill-defined: score -1\n",
      "problem 2741 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "part 3: score -1\n",
      "problem 2742 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2743 of 3091 has scores\n",
      " rating: score -1\n",
      "problem 2744 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2745 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2746 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2747 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2748 of 3091 has scores\n",
      " This problem is ill-defined, there are no sub-problems to grade. \n",
      "-1\n",
      "problem 2749 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2750 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2751 of 3091 has scores\n",
      " Part 1: score -1\n",
      "problem 2752 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2753 of 3091 has scores\n",
      " This problem is ill-defined and cannot be answered.\n",
      "problem 2754 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2755 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2756 of 3091 has scores\n",
      " Ill-defined problem: -1\n",
      "problem 2757 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2758 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2759 of 3091 has scores\n",
      " Ill-defined problem\n",
      "problem 2760 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "part 4: score 0\n",
      "problem 2761 of 3091 has scores\n",
      " This problem is ill-defined, as it lacks specific information or context from Problem 14.51 needed to provide a meaningful answer.\n",
      "Therefore, the grade for this problem is:\n",
      "-1 points\n",
      "problem 2762 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2763 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2764 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2765 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2766 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, the grading is as follows:\n",
      "part 1: score -1\n",
      "problem 2767 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2768 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0.5\n",
      "problem 2769 of 3091 has scores\n",
      " Score: \n",
      "part 1: -1\n",
      "problem 2770 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "problem 2771 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "part 1: score -1\n",
      "part 2: score -1\n",
      "part 3: score -1\n",
      "part 4: score -1\n",
      "part 5: score -1\n",
      "problem 2772 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2773 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "problem 2774 of 3091 has scores\n",
      " -1\n",
      "problem 2775 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 2776 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2777 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score -1\n",
      "part 3: score -1\n",
      "problem 2778 of 3091 has scores\n",
      " part 1: score 1.5\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2779 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2780 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 2781 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "part 5: score 1\n",
      "problem 2782 of 3091 has scores\n",
      " Score: \n",
      "part 1: 2\n",
      "problem 2783 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2784 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2785 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2786 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 2787 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2788 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2789 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 2790 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2791 of 3091 has scores\n",
      " part 1: score 0  \n",
      "part 2: score 0\n",
      "problem 2792 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 2793 of 3091 has scores\n",
      " score -1\n",
      "problem 2794 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2795 of 3091 has scores\n",
      " The problem is ill-defined: score -1\n",
      "problem 2796 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2797 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2798 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2799 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2800 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2801 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2802 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "-1\n",
      "problem 2803 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2804 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2805 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2806 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2807 of 3091 has scores\n",
      " Score: \n",
      "part 1: -1\n",
      "problem 2808 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2809 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2810 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2811 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2812 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2813 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2814 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 2815 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2816 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2817 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2818 of 3091 has scores\n",
      " This problem is ill-defined. Score: -1\n",
      "problem 2819 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2820 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 2821 of 3091 has scores\n",
      " The problem is ill-defined. Score: -1\n",
      "problem 2822 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2823 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2824 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2825 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2826 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 2\n",
      "part 3: score 0\n",
      "part 4: score 2\n",
      "problem 2827 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2828 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2829 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2830 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2831 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2832 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2833 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2834 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2835 of 3091 has scores\n",
      " The problem is ill-defined.\n",
      "problem 2836 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2837 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2838 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2839 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2840 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2841 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2842 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2843 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2844 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 2845 of 3091 has scores\n",
      " This problem is ill-defined. \n",
      "Grade: -1\n",
      "problem 2846 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2847 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2848 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2849 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 2850 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2851 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "problem 2852 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 1\n",
      "problem 2853 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 2\n",
      "problem 2854 of 3091 has scores\n",
      " part 1: score 1.5\n",
      "part 2: score 1.5\n",
      "problem 2855 of 3091 has scores\n",
      " rating: -1\n",
      "problem 2856 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2857 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2858 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 2859 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2860 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "problem 2861 of 3091 has scores\n",
      " This problem is ill-defined. Therefore, I cannot provide a grading for it.\n",
      "problem 2862 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2863 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 2864 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 2865 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2866 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2867 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2868 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2869 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2870 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2871 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 2872 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2873 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2874 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "problem 2875 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2876 of 3091 has scores\n",
      " Since the problem is ill-defined, the scores are as follows:\n",
      "part 1: score -1\n",
      "problem 2877 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2878 of 3091 has scores\n",
      " score -1\n",
      "problem 2879 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2880 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2881 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2882 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2883 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2884 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2885 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2886 of 3091 has scores\n",
      " This problem is ill-defined; hence, it cannot be graded. The score is -1.\n",
      "problem 2887 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2888 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2889 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "problem 2890 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2891 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "problem 2892 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2893 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2894 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2895 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2896 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 2897 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2898 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 0\n",
      "part 4: score 0\n",
      "problem 2899 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 2900 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2901 of 3091 has scores\n",
      " part 1: score -1.5\n",
      "problem 2902 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2903 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2904 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2905 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2906 of 3091 has scores\n",
      " part 1: score -1\n",
      "part 2: score -1\n",
      "part 3: score -1\n",
      "part 4: score -1\n",
      "problem 2907 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2908 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 2909 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2910 of 3091 has scores\n",
      " part 1: score 0\n",
      "part 2: score 0\n",
      "problem 2911 of 3091 has scores\n",
      " sub-problem 1: score 2\n",
      "sub-problem 2: score 2\n",
      "sub-problem 3: score 1\n",
      "sub-problem 4: score 1\n",
      "problem 2912 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2913 of 3091 has scores\n",
      " The problem is ill-defined. Therefore, there are no parts to be graded.\n",
      "problem 2914 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2915 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2916 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2917 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2918 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 2919 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2920 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2921 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 2922 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2923 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2924 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2925 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2926 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2927 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "part 5: score 2\n",
      "problem 2928 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2929 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2930 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2931 of 3091 has scores\n",
      " score -1\n",
      "problem 2932 of 3091 has scores\n",
      " score: 2\n",
      "problem 2933 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2934 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2935 of 3091 has scores\n",
      " Sub-problem: score 0\n",
      "problem 2936 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "problem 2937 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2938 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2939 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2940 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2941 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2942 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2943 of 3091 has scores\n",
      " The problem is ill-defined. \n",
      "Score: -1\n",
      "problem 2944 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2945 of 3091 has scores\n",
      " Ill-defined problem: score -1\n",
      "problem 2946 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2947 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2948 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2949 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2950 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2951 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2952 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2953 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2954 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2955 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 0\n",
      "problem 2956 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2957 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 2958 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 2959 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2960 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 2961 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2962 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2963 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2964 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2965 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2966 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2967 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2968 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2969 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "part 5: score 1\n",
      "part 6: score 1\n",
      "problem 2970 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2971 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2972 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2973 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 2974 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 2975 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2976 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2977 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2978 of 3091 has scores\n",
      " score: -1\n",
      "problem 2979 of 3091 has scores\n",
      " score: -1\n",
      "problem 2980 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "part 3: score 1.5\n",
      "problem 2981 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 2982 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 2983 of 3091 has scores\n",
      " This question is ill-defined.\n",
      "problem 2984 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2985 of 3091 has scores\n",
      " score: -1\n",
      "problem 2986 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2987 of 3091 has scores\n",
      " part a: score 2\n",
      "part b: score 2\n",
      "part c: score 2\n",
      "part d: score 2\n",
      "problem 2988 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2989 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 2990 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2991 of 3091 has scores\n",
      " Score: -1\n",
      "problem 2992 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 2993 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2994 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 2995 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2996 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2997 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 2998 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 2999 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3000 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 3001 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3002 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 3003 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 3004 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 3005 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3006 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3007 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3008 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3009 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3010 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "problem 3011 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 3012 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3013 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 3014 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 0\n",
      "problem 3015 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 3016 of 3091 has scores\n",
      " Score: -1\n",
      "problem 3017 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3018 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "part 4: score 1\n",
      "problem 3019 of 3091 has scores\n",
      " The question is ill-defined, no sub-problems specified.\n",
      "problem 3020 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3021 of 3091 has scores\n",
      " part 1: score 0\n",
      "problem 3022 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 3023 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "part 4: score 2\n",
      "problem 3024 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 1\n",
      "part 4: score 1\n",
      "problem 3025 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 3026 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 3027 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "problem 3028 of 3091 has scores\n",
      " The problem is ill-defined. So, the grade is:\n",
      "part 1: score -1\n",
      "problem 3029 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 3030 of 3091 has scores\n",
      " This problem is well-defined and complete:\n",
      "part 1: score 2\n",
      "problem 3031 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3032 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 3033 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "part 3: score 0\n",
      "problem 3034 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3035 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3036 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 1\n",
      "part (c): score 1\n",
      "problem 3037 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3038 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 3039 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3040 of 3091 has scores\n",
      " ill-defined: score -1\n",
      "problem 3041 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3042 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3043 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 3044 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n",
      "problem 3045 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 2\n",
      "part (c): score 2\n",
      "problem 3046 of 3091 has scores\n",
      " part 1: score 1\n",
      "problem 3047 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "part 3: score 2\n",
      "problem 3048 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3049 of 3091 has scores\n",
      " The problem is ill-defined. Hence, the score is -1.\n",
      "problem 3050 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3051 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 3052 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3053 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3054 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 3055 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3056 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3057 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3058 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3059 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3060 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3061 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 0\n",
      "problem 3062 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "part 3: score 0\n",
      "part 4: score 2\n",
      "problem 3063 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 3064 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3065 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3066 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3067 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 3068 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 3069 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 1\n",
      "problem 3070 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 3071 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3072 of 3091 has scores\n",
      " part (a): score 2\n",
      "part (b): score 1\n",
      "part (c): score 2\n",
      "part (d): score 2\n",
      "problem 3073 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "part 5: score 2\n",
      "problem 3074 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 1\n",
      "problem 3075 of 3091 has scores\n",
      " This problem is ill-defined.\n",
      "\n",
      "-1\n",
      "problem 3076 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3077 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3078 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3079 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 3080 of 3091 has scores\n",
      " ill-defined: score -1\n",
      "problem 3081 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3082 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "part 4: score 2\n",
      "problem 3083 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3084 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3085 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 2\n",
      "problem 3086 of 3091 has scores\n",
      " part 1: score -1\n",
      "problem 3087 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "problem 3088 of 3091 has scores\n",
      " part 1: score 2\n",
      "problem 3089 of 3091 has scores\n",
      " part 1: score 1\n",
      "part 2: score 2\n",
      "problem 3090 of 3091 has scores\n",
      " part 1: score 2\n",
      "part 2: score 2\n",
      "part 3: score 1\n"
     ]
    }
   ],
   "source": [
    "scored_answers = []\n",
    "for i in range(0,len(solved_problems)):\n",
    "    book, how_solved, selected_problem, just_question, just_answer, student_answer = solved_problems[i]\n",
    "    scores = get_grades(just_question, just_answer, student_answer)\n",
    "    print(\"problem\",i,\"of 3091 has scores\\n\",scores)\n",
    "    scored_answers.append((book, how_solved, selected_problem, just_question, just_answer, student_answer, scores))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "141f382f-e07f-4956-b4cf-49bc354d734e",
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('all_answers_with_scores.pkl', 'wb') as file:\n",
    "    pickle.dump(scored_answers, file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "bf879edb-34fb-499a-a669-684042ac1b96",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import pickle\n",
    "with open('all_answers_with_scores.pkl', 'rb') as file:\n",
    "    scored_answers = pickle.load(file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "b6ced3cc-b87d-4a77-aa5b-3079b8af8fe9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1.5 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 2 2\n",
      "(c): score 2 2\n",
      "(d): score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "5: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "error parsing  This problem is ill-defined. Therefore, the score is:\n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "error parsing  The problem is ill-defined. So, the score for the student's answer is:\n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "error parsing  Score:\n",
      "part 1: 2 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "(a): score 1 1\n",
      "(b): score 2 2\n",
      "(c): score 2 2\n",
      "(d): score 1 1\n",
      "(e): score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "error parsing  Score:\n",
      "- part 1: 2 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1.5 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "(a): score 0 0\n",
      "(c): score 2 2\n",
      "(e): score 2 2\n",
      "(b): score 0 0\n",
      "(d): score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "4: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "error parsing  This question is ill-defined, so the score is:\n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1.5 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "Part 1: Score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "error parsing  Score: \n",
      "part 1: -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "error parsing  Score: \n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "error parsing  Score:\n",
      "part 1: 2 assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "Part 1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "error parsing  The problem is ill-defined. Hence, the score is:\n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 2 2\n",
      "(c): score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "3: score -1 -1\n",
      "4: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "5: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "error parsing  Score: \n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "3: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "error parsing  Score: \n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "error parsing  Score:  \n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "error parsing  Score: \n",
      "part 1: -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "5: score 2 2\n",
      "6: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "error parsing  This problem is ill-defined and cannot be graded accurately. Therefore, the score is:\n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "10a: score 2 2\n",
      "10b: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "error parsing  Score: \n",
      "part 1: -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1.5 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1.5 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "error parsing  The problem is ill-defined. Therefore, the score is:\n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1.5 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "error parsing  Score: \n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1.5 1\n",
      "2: score 1.5 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "error parsing  This question is ill-defined, so there are no specific parts to grade. \n",
      "\n",
      "Score: -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "6: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "Part 1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "error parsing  Score: \n",
      "part 1: -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1.5 1\n",
      "2: score 0.5 0\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1.5 1\n",
      "2: score 1.5 1\n",
      "3: score 1.5 1\n",
      "4: score 1.5 1\n",
      "5: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 0 0\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "(a): score 1 1\n",
      "(b): score 2 2\n",
      "(c): score 2 2\n",
      "(d): score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "4: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0.5 0\n",
      "2: score 0.5 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0.5 0\n",
      "2: score 1.5 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "6: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "5: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "4: score 0 0\n",
      "5: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "Part 1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1.5 1\n",
      "2: score 1.5 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "This problem is ill-defined. Hence, the ratings will be as follows:\n",
      "Part 1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 1 1\n",
      "(c): score 2 2\n",
      "(d): score 2 2\n",
      "(e): score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "error parsing  Score: \n",
      "part 1: -1 assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 1 1\n",
      "(c): score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1.5 1\n",
      "4: score 1.5 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "error parsing  Score: \n",
      "part 1: -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "error parsing  Score: \n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "5: score 1 1\n",
      "error parsing  Score: \n",
      "part 1: -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "(a): score 1 1\n",
      "(b): score 1 1\n",
      "(c): score 2 2\n",
      "(d): score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "5: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "6: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1a: score 2 2\n",
      "1b: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 4 4\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "6: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "a: score 2 2\n",
      "b: score 2 2\n",
      "c: score 2 2\n",
      "d: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "Part 1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "error parsing  Part 1: score 2\n",
      "Part 2: score 2\n",
      "Part 3: score 2\n",
      "Part 4: score 2 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "3: score -1 -1\n",
      "4: score -1 -1\n",
      "5: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4(i): score 2 2\n",
      "4(ii): score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "Part 1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "6: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 2 2\n",
      "(c): score 2 2\n",
      "(d): score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "error parsing  This problem is ill-defined. Hence, the score is:\n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "3: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "Part 1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "4: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0.5 0\n",
      "error parsing  Score: \n",
      "part 1: -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "3: score -1 -1\n",
      "4: score -1 -1\n",
      "5: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score -1 -1\n",
      "3: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1.5 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "5: score 1 1\n",
      "error parsing  Score: \n",
      "part 1: 2 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "error parsing  Score: \n",
      "part 1: -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 2 2\n",
      "3: score 0 0\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 1 1\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1.5 1\n",
      "2: score 1.5 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "error parsing  Since the problem is ill-defined, the scores are as follows:\n",
      "part 1: score -1 assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 0 0\n",
      "4: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1.5 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "2: score -1 -1\n",
      "3: score -1 -1\n",
      "4: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "2: score 0 0\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "5: score 1 1\n",
      "6: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "3: score 1.5 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "a: score 2 2\n",
      "b: score 2 2\n",
      "c: score 2 2\n",
      "d: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "4: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 0 0\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 1 1\n",
      "4: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "3: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 1 1\n",
      "(c): score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 2 2\n",
      "(c): score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 0 0\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "3: score 0 0\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 1 1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "(a): score 2 2\n",
      "(b): score 1 1\n",
      "(c): score 2 2\n",
      "(d): score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "5: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 1 1\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip problem, assuming it was ill-defined\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "4: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 2 2\n",
      "skip part, likely first line\n",
      "1: score -1 -1\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 1 1\n",
      "2: score 2 2\n",
      "skip part, likely first line\n",
      "1: score 2 2\n",
      "2: score 2 2\n",
      "3: score 1 1\n",
      "[2, 2, 2, 1, 1, 2, 2, 2, 2, -1, -1, 1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 1, 2, -1, 2, 2, -1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, 1, 1, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, -1, 2, 2, -1, -1, 2, 2, -1, 2, 2, -1, -1, 1, 2, 2, 1, 1, -1, 2, 2, -1, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 0, 2, -1, 2, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, -1, -1, 2, 2, 2, 2, 2, 1, 1, 1, 1, -1, -1, 2, 2, 2, 1, 2, -1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, 0, -1, -1, 2, 2, -1, -1, 1, -1, 1, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, -1, -1, -1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 1, 1, -1, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, -1, 1, 1, 1, -1, 2, 2, 2, 1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, -1, 2, 1, 2, 1, 2, -1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, -1, 2, 2, 2, 2, 2, 2, 1, 2, -1, 1, 1, 0, -1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, -1, 1, 1, 1, 1, 1, 1, 2, 1, -1, 2, -1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, -1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, -1, 2, 2, 2, 1, 1, 1, 2, 1, -1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, 2, 2, -1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, -1, -1, 1, 1, -1, 2, -1, 2, 2, 2, -1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, -1, -1, 1, 1, 1, -1, -1, -1, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, -1, 2, 2, 1, 2, 1, -1, 2, 0, -1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, -1, 2, 2, -1, 2, 2, 2, 2, 2, -1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, -1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, -1, 2, 2, 2, 2, 2, -1, -1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 1, 2, 2, 2, 1]\n"
     ]
    }
   ],
   "source": [
    "all_scores = []\n",
    "for _, _, _, _, _, _, scored_answer in scored_answers:\n",
    "    try:\n",
    "        if \"part\" in scored_answer.lower():\n",
    "            for part in scored_answer.split(\"part\"):\n",
    "                if \"score\" in part.lower():\n",
    "                    score = int(float(part.strip().lower().split(\"score\")[1].strip()))\n",
    "                    print(part.strip(), score)\n",
    "                    all_scores.append(score)\n",
    "                else:\n",
    "                    print(\"skip part, likely first line\")\n",
    "        else:\n",
    "            print(\"skip problem, assuming it was ill-defined\")\n",
    "            all_scores.append(-1)\n",
    "    except:\n",
    "        print(\"error parsing \",scored_answer,\"assuming it was ill-defined\")\n",
    "        all_scores.append(-1)\n",
    "\n",
    "print(all_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "c22f71d1-b007-4f0f-a572-432124e0112c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Counter({2: 3210, -1: 1206, 1: 682, 0: 123, 4: 1})\n"
     ]
    }
   ],
   "source": [
    "from collections import Counter\n",
    "\n",
    "counts = Counter(all_scores)\n",
    "print(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "64ce3137-69f1-466e-b420-ca4300589aa7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Determine which of the following vectors are equal:\n",
      "\n",
      "$$\n",
      "u_{1}=(1,2,3), \\quad u_{2}=(2,3,1), \\quad u_{3}=(1,3,2), \\quad u_{4}=(2,3,1)\n",
      "$$\n",
      "To determine which vectors among \\( u_1, u_2, u_3, \\) and \\( u_4 \\) are equal, we need to compare each vector with every other vector to see if their corresponding components are the same.\n",
      "\n",
      "1. **Comparing \\( u_1 \\) and \\( u_2 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_2 \\) are not the same (1 ≠ 2, 2 ≠ 3, 3 ≠ 1), \\( u_1 \\neq u_2 \\).\n",
      "\n",
      "2. **Comparing \\( u_1 \\) and \\( u_3 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_3 \\) are not the same (2 ≠ 3, 3 ≠ 2), \\( u_1 \\neq u_3 \\).\n",
      "\n",
      "3. **Comparing \\( u_1 \\) and \\( u_4 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_4 \\) are not the same (1 ≠ 2, 2 ≠ 3, 3 ≠ 1), \\( u_1 \\neq u_4 \\).\n",
      "\n",
      "4. **Comparing \\( u_2 \\) and \\( u_3 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_3 \\) are not the same (2 ≠ 1, 1 ≠ 2), \\( u_2 \\neq u_3 \\).\n",
      "\n",
      "5. **Comparing \\( u_2 \\) and \\( u_4 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_4 \\) are the same (2 = 2, 3 = 3, 1 = 1), \\( u_2 = u_4 \\).\n",
      "\n",
      "6. **Comparing \\( u_3 \\) and \\( u_4 \\):**\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_3 \\) and \\( u_4 \\) are not the same (1 ≠ 2, 2 ≠ 1), \\( u_3 \\neq u_4 \\).\n",
      "\n",
      "**Conclusion:**\n",
      "The only vectors that are equal among \\( u_1, u_2, u_3, \\) and \\( u_4 \\) are \\( u_2 \\) and \\( u_4 \\).\n",
      "Determine which of the following vectors are equal:\n",
      "\n",
      "$$\n",
      "u_{1}=(1,2,3), \\quad u_{2}=(2,3,1), \\quad u_{3}=(1,3,2), \\quad u_{4}=(2,3,1)\n",
      "$$\n",
      "To determine which vectors among \\( u_1, u_2, u_3, \\) and \\( u_4 \\) are equal, we need to compare each vector component-wise.\n",
      "\n",
      "1. **Comparing \\( u_1 \\) and \\( u_2 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_2 \\) are different, \\( u_1 \\neq u_2 \\).\n",
      "\n",
      "2. **Comparing \\( u_1 \\) and \\( u_3 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_3 \\) are different, \\( u_1 \\neq u_3 \\).\n",
      "\n",
      "3. **Comparing \\( u_1 \\) and \\( u_4 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_4 \\) are different, \\( u_1 \\neq u_4 \\).\n",
      "\n",
      "4. **Comparing \\( u_2 \\) and \\( u_3 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_3 \\) are different, \\( u_2 \\neq u_3 \\).\n",
      "\n",
      "5. **Comparing \\( u_2 \\) and \\( u_4 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_4 \\) are identical, \\( u_2 = u_4 \\).\n",
      "\n",
      "6. **Comparing \\( u_3 \\) and \\( u_4 \\):**\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_3 \\) and \\( u_4 \\) are different, \\( u_3 \\neq u_4 \\).\n",
      "\n",
      "**Conclusion:**\n",
      "The only pair of vectors that are equal are \\( u_2 \\) and \\( u_4 \\). All other pairs are unequal.\n",
      "Determine which of the following vectors are equal:\n",
      "\n",
      "$$\n",
      "u_{1}=(1,2,3), \\quad u_{2}=(2,3,1), \\quad u_{3}=(1,3,2), \\quad u_{4}=(2,3,1)\n",
      "$$\n",
      "To determine which vectors among \\( u_1, u_2, u_3, \\) and \\( u_4 \\) are equal, we need to compare each vector component-wise.\n",
      "\n",
      "1. **Comparing \\( u_1 \\) and \\( u_2 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_2 \\) are different, \\( u_1 \\neq u_2 \\).\n",
      "\n",
      "2. **Comparing \\( u_1 \\) and \\( u_3 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_3 \\) are different, \\( u_1 \\neq u_3 \\).\n",
      "\n",
      "3. **Comparing \\( u_1 \\) and \\( u_4 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_4 \\) are different, \\( u_1 \\neq u_4 \\).\n",
      "\n",
      "4. **Comparing \\( u_2 \\) and \\( u_3 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_3 \\) are different, \\( u_2 \\neq u_3 \\).\n",
      "\n",
      "5. **Comparing \\( u_2 \\) and \\( u_4 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_4 \\) are identical, \\( u_2 = u_4 \\).\n",
      "\n",
      "6. **Comparing \\( u_3 \\) and \\( u_4 \\):**\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_3 \\) and \\( u_4 \\) are different, \\( u_3 \\neq u_4 \\).\n",
      "\n",
      "**Conclusion:**\n",
      "The vectors \\( u_2 \\) and \\( u_4 \\) are equal. All other pairs of vectors are unequal.\n",
      "Determine which of the following vectors are equal:\n",
      "\n",
      "$$\n",
      "u_{1}=(1,2,3), \\quad u_{2}=(2,3,1), \\quad u_{3}=(1,3,2), \\quad u_{4}=(2,3,1)\n",
      "$$\n",
      "To determine which vectors among \\( u_1, u_2, u_3, \\) and \\( u_4 \\) are equal, we need to compare each vector component-wise.\n",
      "\n",
      "1. **Comparing \\( u_1 \\) and \\( u_2 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_2 \\) are different, \\( u_1 \\neq u_2 \\).\n",
      "\n",
      "2. **Comparing \\( u_1 \\) and \\( u_3 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_3 \\) are different, \\( u_1 \\neq u_3 \\).\n",
      "\n",
      "3. **Comparing \\( u_1 \\) and \\( u_4 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_4 \\) are different, \\( u_1 \\neq u_4 \\).\n",
      "\n",
      "4. **Comparing \\( u_2 \\) and \\( u_3 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_3 \\) are different, \\( u_2 \\neq u_3 \\).\n",
      "\n",
      "5. **Comparing \\( u_2 \\) and \\( u_4 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_4 \\) are identical, \\( u_2 = u_4 \\).\n",
      "\n",
      "6. **Comparing \\( u_3 \\) and \\( u_4 \\):**\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_3 \\) and \\( u_4 \\) are different, \\( u_3 \\neq u_4 \\).\n",
      "\n",
      "**Conclusion:**\n",
      "The vectors \\( u_2 \\) and \\( u_4 \\) are equal. All other pairs of vectors are unequal.\n",
      "Determine which of the following vectors are equal:\n",
      "\n",
      "$$\n",
      "u_{1}=(1,2,3), \\quad u_{2}=(2,3,1), \\quad u_{3}=(1,3,2), \\quad u_{4}=(2,3,1)\n",
      "$$\n",
      "To determine which vectors among \\( u_1, u_2, u_3, \\) and \\( u_4 \\) are equal, we need to compare each vector component-wise.\n",
      "\n",
      "1. **Comparing \\( u_1 \\) and \\( u_2 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_2 \\) are different, \\( u_1 \\neq u_2 \\).\n",
      "\n",
      "2. **Comparing \\( u_1 \\) and \\( u_3 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_3 \\) are different, \\( u_1 \\neq u_3 \\).\n",
      "\n",
      "3. **Comparing \\( u_1 \\) and \\( u_4 \\):**\n",
      "   - \\( u_1 = (1, 2, 3) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_1 \\) and \\( u_4 \\) are different, \\( u_1 \\neq u_4 \\).\n",
      "\n",
      "4. **Comparing \\( u_2 \\) and \\( u_3 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_3 \\) are different, \\( u_2 \\neq u_3 \\).\n",
      "\n",
      "5. **Comparing \\( u_2 \\) and \\( u_4 \\):**\n",
      "   - \\( u_2 = (2, 3, 1) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_2 \\) and \\( u_4 \\) are identical, \\( u_2 = u_4 \\).\n",
      "\n",
      "6. **Comparing \\( u_3 \\) and \\( u_4 \\):**\n",
      "   - \\( u_3 = (1, 3, 2) \\)\n",
      "   - \\( u_4 = (2, 3, 1) \\)\n",
      "   \n",
      "   Since the components of \\( u_3 \\) and \\( u_4 \\) are different, \\( u_3 \\neq u_4 \\).\n",
      "\n",
      "**Conclusion:**\n",
      "The vectors \\( u_2 \\) and \\( u_4 \\) are equal. All other pairs of vectors are unequal.\n",
      "Determine which of the following vectors are equal:\n",
      "\n",
      "$$\n",
      "u_{1}=(1,2,3), \\quad u_{2}=(2,3,1), \\quad u_{3}=(1,3,2), \\quad u_{4}=(2,3,1)\n",
      "$$\n"
     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[4], line 10\u001b[0m\n\u001b[1;32m      7\u001b[0m     book, how_solved, selected_problem, just_question, just_answer \u001b[38;5;241m=\u001b[39m book_qa\n\u001b[1;32m      8\u001b[0m     \u001b[38;5;28mprint\u001b[39m(just_question)\n\u001b[0;32m---> 10\u001b[0m     gpt_answer \u001b[38;5;241m=\u001b[39m \u001b[43mrun_gpt\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mYou are a symbolic mathematics problem solver. Using any tools at your disposal, work out the solution to the following problem:\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43mf\u001b[39;49m\u001b[38;5;124;43m\"\"\"\u001b[39;49m\n\u001b[1;32m     11\u001b[0m \u001b[38;5;124;43mFind the solution to the following problem:\u001b[39;49m\n\u001b[1;32m     12\u001b[0m \u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;132;43;01m{\u001b[39;49;00m\u001b[43mjust_question\u001b[49m\u001b[38;5;132;43;01m}\u001b[39;49;00m\u001b[38;5;124;43m\"\u001b[39;49m\n\u001b[1;32m     13\u001b[0m \u001b[38;5;124;43m\"\"\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m     14\u001b[0m     \u001b[38;5;28mprint\u001b[39m(gpt_answer)\n\u001b[1;32m     16\u001b[0m     book_answers\u001b[38;5;241m.\u001b[39mappend((book, how_solved, selected_problem, just_question, just_answer, gpt_answer))\n",
      "Cell \u001b[0;32mIn[2], line 13\u001b[0m, in \u001b[0;36mrun_gpt\u001b[0;34m(system_prompt, query)\u001b[0m\n\u001b[1;32m     11\u001b[0m \u001b[38;5;28;01mwhile\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m done:\n\u001b[1;32m     12\u001b[0m     \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[0;32m---> 13\u001b[0m         response \u001b[38;5;241m=\u001b[39m \u001b[43mclient\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mchat\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcompletions\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcreate\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m     14\u001b[0m \u001b[43m        \u001b[49m\u001b[43mmodel\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mgpt-4-turbo\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m     15\u001b[0m \u001b[43m        \u001b[49m\u001b[43mmessages\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m[\u001b[49m\n\u001b[1;32m     16\u001b[0m \u001b[43m            \u001b[49m\u001b[43m{\u001b[49m\n\u001b[1;32m     17\u001b[0m \u001b[43m              \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mrole\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43msystem\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m     18\u001b[0m \u001b[43m              \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mcontent\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43msystem_prompt\u001b[49m\n\u001b[1;32m     19\u001b[0m \u001b[43m            \u001b[49m\u001b[43m}\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m     20\u001b[0m \u001b[43m            \u001b[49m\u001b[43m{\u001b[49m\n\u001b[1;32m     21\u001b[0m \u001b[43m              \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mrole\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43muser\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m     22\u001b[0m \u001b[43m              \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mcontent\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43mquery\u001b[49m\n\u001b[1;32m     23\u001b[0m \u001b[43m            \u001b[49m\u001b[43m}\u001b[49m\n\u001b[1;32m     24\u001b[0m \u001b[43m            \u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m     25\u001b[0m \u001b[43m            \u001b[49m\u001b[43mtemperature\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m     26\u001b[0m \u001b[43m            \u001b[49m\u001b[43mmax_tokens\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m2048\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m     27\u001b[0m \u001b[43m            \u001b[49m\u001b[43mtop_p\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m     28\u001b[0m \u001b[43m            \u001b[49m\u001b[43mfrequency_penalty\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m     29\u001b[0m \u001b[43m            \u001b[49m\u001b[43mpresence_penalty\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m0\u001b[39;49m\n\u001b[1;32m     30\u001b[0m \u001b[43m        \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m     31\u001b[0m         done \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mTrue\u001b[39;00m\n\u001b[1;32m     32\u001b[0m     \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mException\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m e:\n\u001b[1;32m     33\u001b[0m         \u001b[38;5;66;03m# Handle exception\u001b[39;00m\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/openai/_utils/_utils.py:275\u001b[0m, in \u001b[0;36mrequired_args.<locals>.inner.<locals>.wrapper\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m    273\u001b[0m             msg \u001b[38;5;241m=\u001b[39m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mMissing required argument: \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mquote(missing[\u001b[38;5;241m0\u001b[39m])\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m    274\u001b[0m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m(msg)\n\u001b[0;32m--> 275\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfunc\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/openai/resources/chat/completions.py:663\u001b[0m, in \u001b[0;36mCompletions.create\u001b[0;34m(self, messages, model, frequency_penalty, function_call, functions, logit_bias, logprobs, max_tokens, n, presence_penalty, response_format, seed, stop, stream, temperature, tool_choice, tools, top_logprobs, top_p, user, extra_headers, extra_query, extra_body, timeout)\u001b[0m\n\u001b[1;32m    611\u001b[0m \u001b[38;5;129m@required_args\u001b[39m([\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mmessages\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mmodel\u001b[39m\u001b[38;5;124m\"\u001b[39m], [\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mmessages\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mmodel\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mstream\u001b[39m\u001b[38;5;124m\"\u001b[39m])\n\u001b[1;32m    612\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mcreate\u001b[39m(\n\u001b[1;32m    613\u001b[0m     \u001b[38;5;28mself\u001b[39m,\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    661\u001b[0m     timeout: \u001b[38;5;28mfloat\u001b[39m \u001b[38;5;241m|\u001b[39m httpx\u001b[38;5;241m.\u001b[39mTimeout \u001b[38;5;241m|\u001b[39m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;241m|\u001b[39m NotGiven \u001b[38;5;241m=\u001b[39m NOT_GIVEN,\n\u001b[1;32m    662\u001b[0m ) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m ChatCompletion \u001b[38;5;241m|\u001b[39m Stream[ChatCompletionChunk]:\n\u001b[0;32m--> 663\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_post\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m    664\u001b[0m \u001b[43m        \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43m/chat/completions\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m    665\u001b[0m \u001b[43m        \u001b[49m\u001b[43mbody\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mmaybe_transform\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m    666\u001b[0m \u001b[43m            \u001b[49m\u001b[43m{\u001b[49m\n\u001b[1;32m    667\u001b[0m \u001b[43m                \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mmessages\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43mmessages\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    668\u001b[0m \u001b[43m                \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mmodel\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43mmodel\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    669\u001b[0m \u001b[43m                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\u001b[49m\u001b[43mstream_cls\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mStream\u001b[49m\u001b[43m[\u001b[49m\u001b[43mChatCompletionChunk\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    696\u001b[0m \u001b[43m    \u001b[49m\u001b[43m)\u001b[49m\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/openai/_base_client.py:1200\u001b[0m, in \u001b[0;36mSyncAPIClient.post\u001b[0;34m(self, path, cast_to, body, options, files, stream, stream_cls)\u001b[0m\n\u001b[1;32m   1186\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mpost\u001b[39m(\n\u001b[1;32m   1187\u001b[0m     \u001b[38;5;28mself\u001b[39m,\n\u001b[1;32m   1188\u001b[0m     path: \u001b[38;5;28mstr\u001b[39m,\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m   1195\u001b[0m     stream_cls: \u001b[38;5;28mtype\u001b[39m[_StreamT] \u001b[38;5;241m|\u001b[39m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mNone\u001b[39;00m,\n\u001b[1;32m   1196\u001b[0m ) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m ResponseT \u001b[38;5;241m|\u001b[39m _StreamT:\n\u001b[1;32m   1197\u001b[0m     opts \u001b[38;5;241m=\u001b[39m FinalRequestOptions\u001b[38;5;241m.\u001b[39mconstruct(\n\u001b[1;32m   1198\u001b[0m         method\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mpost\u001b[39m\u001b[38;5;124m\"\u001b[39m, url\u001b[38;5;241m=\u001b[39mpath, json_data\u001b[38;5;241m=\u001b[39mbody, files\u001b[38;5;241m=\u001b[39mto_httpx_files(files), \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39moptions\n\u001b[1;32m   1199\u001b[0m     )\n\u001b[0;32m-> 1200\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m cast(ResponseT, \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrequest\u001b[49m\u001b[43m(\u001b[49m\u001b[43mcast_to\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mopts\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mstream\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mstream\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mstream_cls\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mstream_cls\u001b[49m\u001b[43m)\u001b[49m)\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/openai/_base_client.py:889\u001b[0m, in \u001b[0;36mSyncAPIClient.request\u001b[0;34m(self, cast_to, options, remaining_retries, stream, stream_cls)\u001b[0m\n\u001b[1;32m    880\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mrequest\u001b[39m(\n\u001b[1;32m    881\u001b[0m     \u001b[38;5;28mself\u001b[39m,\n\u001b[1;32m    882\u001b[0m     cast_to: Type[ResponseT],\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    887\u001b[0m     stream_cls: \u001b[38;5;28mtype\u001b[39m[_StreamT] \u001b[38;5;241m|\u001b[39m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mNone\u001b[39;00m,\n\u001b[1;32m    888\u001b[0m ) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m ResponseT \u001b[38;5;241m|\u001b[39m _StreamT:\n\u001b[0;32m--> 889\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_request\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m    890\u001b[0m \u001b[43m        \u001b[49m\u001b[43mcast_to\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mcast_to\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    891\u001b[0m \u001b[43m        \u001b[49m\u001b[43moptions\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43moptions\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    892\u001b[0m \u001b[43m        \u001b[49m\u001b[43mstream\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mstream\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    893\u001b[0m \u001b[43m        \u001b[49m\u001b[43mstream_cls\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mstream_cls\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    894\u001b[0m \u001b[43m        \u001b[49m\u001b[43mremaining_retries\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mremaining_retries\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    895\u001b[0m \u001b[43m    \u001b[49m\u001b[43m)\u001b[49m\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/openai/_base_client.py:918\u001b[0m, in \u001b[0;36mSyncAPIClient._request\u001b[0;34m(self, cast_to, options, remaining_retries, stream, stream_cls)\u001b[0m\n\u001b[1;32m    915\u001b[0m     kwargs[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mauth\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mcustom_auth\n\u001b[1;32m    917\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[0;32m--> 918\u001b[0m     response \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_client\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msend\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m    919\u001b[0m \u001b[43m        \u001b[49m\u001b[43mrequest\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    920\u001b[0m \u001b[43m        \u001b[49m\u001b[43mstream\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mstream\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;129;43;01mor\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_should_stream_response_body\u001b[49m\u001b[43m(\u001b[49m\u001b[43mrequest\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mrequest\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    921\u001b[0m \u001b[43m        \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    922\u001b[0m \u001b[43m    \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    923\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m httpx\u001b[38;5;241m.\u001b[39mTimeoutException \u001b[38;5;28;01mas\u001b[39;00m err:\n\u001b[1;32m    924\u001b[0m     log\u001b[38;5;241m.\u001b[39mdebug(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mEncountered httpx.TimeoutException\u001b[39m\u001b[38;5;124m\"\u001b[39m, exc_info\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m)\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpx/_client.py:901\u001b[0m, in \u001b[0;36mClient.send\u001b[0;34m(self, request, stream, auth, follow_redirects)\u001b[0m\n\u001b[1;32m    893\u001b[0m follow_redirects \u001b[38;5;241m=\u001b[39m (\n\u001b[1;32m    894\u001b[0m     \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mfollow_redirects\n\u001b[1;32m    895\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(follow_redirects, UseClientDefault)\n\u001b[1;32m    896\u001b[0m     \u001b[38;5;28;01melse\u001b[39;00m follow_redirects\n\u001b[1;32m    897\u001b[0m )\n\u001b[1;32m    899\u001b[0m auth \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_build_request_auth(request, auth)\n\u001b[0;32m--> 901\u001b[0m response \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_send_handling_auth\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m    902\u001b[0m \u001b[43m    \u001b[49m\u001b[43mrequest\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    903\u001b[0m \u001b[43m    \u001b[49m\u001b[43mauth\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mauth\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    904\u001b[0m \u001b[43m    \u001b[49m\u001b[43mfollow_redirects\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfollow_redirects\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    905\u001b[0m \u001b[43m    \u001b[49m\u001b[43mhistory\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m[\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    906\u001b[0m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    907\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m    908\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m stream:\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpx/_client.py:929\u001b[0m, in \u001b[0;36mClient._send_handling_auth\u001b[0;34m(self, request, auth, follow_redirects, history)\u001b[0m\n\u001b[1;32m    926\u001b[0m request \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mnext\u001b[39m(auth_flow)\n\u001b[1;32m    928\u001b[0m \u001b[38;5;28;01mwhile\u001b[39;00m \u001b[38;5;28;01mTrue\u001b[39;00m:\n\u001b[0;32m--> 929\u001b[0m     response \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_send_handling_redirects\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m    930\u001b[0m \u001b[43m        \u001b[49m\u001b[43mrequest\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    931\u001b[0m \u001b[43m        \u001b[49m\u001b[43mfollow_redirects\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfollow_redirects\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    932\u001b[0m \u001b[43m        \u001b[49m\u001b[43mhistory\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mhistory\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m    933\u001b[0m \u001b[43m    \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    934\u001b[0m     \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m    935\u001b[0m         \u001b[38;5;28;01mtry\u001b[39;00m:\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpx/_client.py:966\u001b[0m, in \u001b[0;36mClient._send_handling_redirects\u001b[0;34m(self, request, follow_redirects, history)\u001b[0m\n\u001b[1;32m    963\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m hook \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_event_hooks[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mrequest\u001b[39m\u001b[38;5;124m\"\u001b[39m]:\n\u001b[1;32m    964\u001b[0m     hook(request)\n\u001b[0;32m--> 966\u001b[0m response \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_send_single_request\u001b[49m\u001b[43m(\u001b[49m\u001b[43mrequest\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    967\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m    968\u001b[0m     \u001b[38;5;28;01mfor\u001b[39;00m hook \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_event_hooks[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mresponse\u001b[39m\u001b[38;5;124m\"\u001b[39m]:\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpx/_client.py:1002\u001b[0m, in \u001b[0;36mClient._send_single_request\u001b[0;34m(self, request)\u001b[0m\n\u001b[1;32m    997\u001b[0m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mRuntimeError\u001b[39;00m(\n\u001b[1;32m    998\u001b[0m         \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mAttempted to send an async request with a sync Client instance.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m    999\u001b[0m     )\n\u001b[1;32m   1001\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m request_context(request\u001b[38;5;241m=\u001b[39mrequest):\n\u001b[0;32m-> 1002\u001b[0m     response \u001b[38;5;241m=\u001b[39m \u001b[43mtransport\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mhandle_request\u001b[49m\u001b[43m(\u001b[49m\u001b[43mrequest\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m   1004\u001b[0m \u001b[38;5;28;01massert\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(response\u001b[38;5;241m.\u001b[39mstream, SyncByteStream)\n\u001b[1;32m   1006\u001b[0m response\u001b[38;5;241m.\u001b[39mrequest \u001b[38;5;241m=\u001b[39m request\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpx/_transports/default.py:228\u001b[0m, in \u001b[0;36mHTTPTransport.handle_request\u001b[0;34m(self, request)\u001b[0m\n\u001b[1;32m    215\u001b[0m req \u001b[38;5;241m=\u001b[39m httpcore\u001b[38;5;241m.\u001b[39mRequest(\n\u001b[1;32m    216\u001b[0m     method\u001b[38;5;241m=\u001b[39mrequest\u001b[38;5;241m.\u001b[39mmethod,\n\u001b[1;32m    217\u001b[0m     url\u001b[38;5;241m=\u001b[39mhttpcore\u001b[38;5;241m.\u001b[39mURL(\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    225\u001b[0m     extensions\u001b[38;5;241m=\u001b[39mrequest\u001b[38;5;241m.\u001b[39mextensions,\n\u001b[1;32m    226\u001b[0m )\n\u001b[1;32m    227\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m map_httpcore_exceptions():\n\u001b[0;32m--> 228\u001b[0m     resp \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_pool\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mhandle_request\u001b[49m\u001b[43m(\u001b[49m\u001b[43mreq\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    230\u001b[0m \u001b[38;5;28;01massert\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(resp\u001b[38;5;241m.\u001b[39mstream, typing\u001b[38;5;241m.\u001b[39mIterable)\n\u001b[1;32m    232\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m Response(\n\u001b[1;32m    233\u001b[0m     status_code\u001b[38;5;241m=\u001b[39mresp\u001b[38;5;241m.\u001b[39mstatus,\n\u001b[1;32m    234\u001b[0m     headers\u001b[38;5;241m=\u001b[39mresp\u001b[38;5;241m.\u001b[39mheaders,\n\u001b[1;32m    235\u001b[0m     stream\u001b[38;5;241m=\u001b[39mResponseStream(resp\u001b[38;5;241m.\u001b[39mstream),\n\u001b[1;32m    236\u001b[0m     extensions\u001b[38;5;241m=\u001b[39mresp\u001b[38;5;241m.\u001b[39mextensions,\n\u001b[1;32m    237\u001b[0m )\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpcore/_sync/connection_pool.py:268\u001b[0m, in \u001b[0;36mConnectionPool.handle_request\u001b[0;34m(self, request)\u001b[0m\n\u001b[1;32m    266\u001b[0m     \u001b[38;5;28;01mwith\u001b[39;00m ShieldCancellation():\n\u001b[1;32m    267\u001b[0m         \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresponse_closed(status)\n\u001b[0;32m--> 268\u001b[0m     \u001b[38;5;28;01mraise\u001b[39;00m exc\n\u001b[1;32m    269\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m    270\u001b[0m     \u001b[38;5;28;01mbreak\u001b[39;00m\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpcore/_sync/connection_pool.py:251\u001b[0m, in \u001b[0;36mConnectionPool.handle_request\u001b[0;34m(self, request)\u001b[0m\n\u001b[1;32m    248\u001b[0m         \u001b[38;5;28;01mraise\u001b[39;00m exc\n\u001b[1;32m    250\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[0;32m--> 251\u001b[0m     response \u001b[38;5;241m=\u001b[39m \u001b[43mconnection\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mhandle_request\u001b[49m\u001b[43m(\u001b[49m\u001b[43mrequest\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    252\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m ConnectionNotAvailable:\n\u001b[1;32m    253\u001b[0m     \u001b[38;5;66;03m# The ConnectionNotAvailable exception is a special case, that\u001b[39;00m\n\u001b[1;32m    254\u001b[0m     \u001b[38;5;66;03m# indicates we need to retry the request on a new connection.\u001b[39;00m\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    258\u001b[0m     \u001b[38;5;66;03m# might end up as an HTTP/2 connection, but which actually ends\u001b[39;00m\n\u001b[1;32m    259\u001b[0m     \u001b[38;5;66;03m# up as HTTP/1.1.\u001b[39;00m\n\u001b[1;32m    260\u001b[0m     \u001b[38;5;28;01mwith\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_pool_lock:\n\u001b[1;32m    261\u001b[0m         \u001b[38;5;66;03m# Maintain our position in the request queue, but reset the\u001b[39;00m\n\u001b[1;32m    262\u001b[0m         \u001b[38;5;66;03m# status so that the request becomes queued again.\u001b[39;00m\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpcore/_sync/connection.py:103\u001b[0m, in \u001b[0;36mHTTPConnection.handle_request\u001b[0;34m(self, request)\u001b[0m\n\u001b[1;32m    100\u001b[0m     \u001b[38;5;28;01melif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_connection\u001b[38;5;241m.\u001b[39mis_available():\n\u001b[1;32m    101\u001b[0m         \u001b[38;5;28;01mraise\u001b[39;00m ConnectionNotAvailable()\n\u001b[0;32m--> 103\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_connection\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mhandle_request\u001b[49m\u001b[43m(\u001b[49m\u001b[43mrequest\u001b[49m\u001b[43m)\u001b[49m\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpcore/_sync/http11.py:133\u001b[0m, in \u001b[0;36mHTTP11Connection.handle_request\u001b[0;34m(self, request)\u001b[0m\n\u001b[1;32m    131\u001b[0m     \u001b[38;5;28;01mwith\u001b[39;00m Trace(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mresponse_closed\u001b[39m\u001b[38;5;124m\"\u001b[39m, logger, request) \u001b[38;5;28;01mas\u001b[39;00m trace:\n\u001b[1;32m    132\u001b[0m         \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_response_closed()\n\u001b[0;32m--> 133\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m exc\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpcore/_sync/http11.py:111\u001b[0m, in \u001b[0;36mHTTP11Connection.handle_request\u001b[0;34m(self, request)\u001b[0m\n\u001b[1;32m    101\u001b[0m     \u001b[38;5;28;01mpass\u001b[39;00m\n\u001b[1;32m    103\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m Trace(\n\u001b[1;32m    104\u001b[0m     \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mreceive_response_headers\u001b[39m\u001b[38;5;124m\"\u001b[39m, logger, request, kwargs\n\u001b[1;32m    105\u001b[0m ) \u001b[38;5;28;01mas\u001b[39;00m trace:\n\u001b[1;32m    106\u001b[0m     (\n\u001b[1;32m    107\u001b[0m         http_version,\n\u001b[1;32m    108\u001b[0m         status,\n\u001b[1;32m    109\u001b[0m         reason_phrase,\n\u001b[1;32m    110\u001b[0m         headers,\n\u001b[0;32m--> 111\u001b[0m     ) \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_receive_response_headers\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    112\u001b[0m     trace\u001b[38;5;241m.\u001b[39mreturn_value \u001b[38;5;241m=\u001b[39m (\n\u001b[1;32m    113\u001b[0m         http_version,\n\u001b[1;32m    114\u001b[0m         status,\n\u001b[1;32m    115\u001b[0m         reason_phrase,\n\u001b[1;32m    116\u001b[0m         headers,\n\u001b[1;32m    117\u001b[0m     )\n\u001b[1;32m    119\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m Response(\n\u001b[1;32m    120\u001b[0m     status\u001b[38;5;241m=\u001b[39mstatus,\n\u001b[1;32m    121\u001b[0m     headers\u001b[38;5;241m=\u001b[39mheaders,\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    127\u001b[0m     },\n\u001b[1;32m    128\u001b[0m )\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpcore/_sync/http11.py:176\u001b[0m, in \u001b[0;36mHTTP11Connection._receive_response_headers\u001b[0;34m(self, request)\u001b[0m\n\u001b[1;32m    173\u001b[0m timeout \u001b[38;5;241m=\u001b[39m timeouts\u001b[38;5;241m.\u001b[39mget(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mread\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;28;01mNone\u001b[39;00m)\n\u001b[1;32m    175\u001b[0m \u001b[38;5;28;01mwhile\u001b[39;00m \u001b[38;5;28;01mTrue\u001b[39;00m:\n\u001b[0;32m--> 176\u001b[0m     event \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_receive_event\u001b[49m\u001b[43m(\u001b[49m\u001b[43mtimeout\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mtimeout\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    177\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(event, h11\u001b[38;5;241m.\u001b[39mResponse):\n\u001b[1;32m    178\u001b[0m         \u001b[38;5;28;01mbreak\u001b[39;00m\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpcore/_sync/http11.py:212\u001b[0m, in \u001b[0;36mHTTP11Connection._receive_event\u001b[0;34m(self, timeout)\u001b[0m\n\u001b[1;32m    209\u001b[0m     event \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_h11_state\u001b[38;5;241m.\u001b[39mnext_event()\n\u001b[1;32m    211\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m event \u001b[38;5;129;01mis\u001b[39;00m h11\u001b[38;5;241m.\u001b[39mNEED_DATA:\n\u001b[0;32m--> 212\u001b[0m     data \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_network_stream\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mread\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m    213\u001b[0m \u001b[43m        \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mREAD_NUM_BYTES\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtimeout\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mtimeout\u001b[49m\n\u001b[1;32m    214\u001b[0m \u001b[43m    \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    216\u001b[0m     \u001b[38;5;66;03m# If we feed this case through h11 we'll raise an exception like:\u001b[39;00m\n\u001b[1;32m    217\u001b[0m     \u001b[38;5;66;03m#\u001b[39;00m\n\u001b[1;32m    218\u001b[0m     \u001b[38;5;66;03m#     httpcore.RemoteProtocolError: can't handle event type\u001b[39;00m\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    222\u001b[0m     \u001b[38;5;66;03m# perspective. Instead we handle this case distinctly and treat\u001b[39;00m\n\u001b[1;32m    223\u001b[0m     \u001b[38;5;66;03m# it as a ConnectError.\u001b[39;00m\n\u001b[1;32m    224\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m data \u001b[38;5;241m==\u001b[39m \u001b[38;5;124mb\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_h11_state\u001b[38;5;241m.\u001b[39mtheir_state \u001b[38;5;241m==\u001b[39m h11\u001b[38;5;241m.\u001b[39mSEND_RESPONSE:\n",
      "File \u001b[0;32m~/.local/lib/python3.10/site-packages/httpcore/_backends/sync.py:126\u001b[0m, in \u001b[0;36mSyncStream.read\u001b[0;34m(self, max_bytes, timeout)\u001b[0m\n\u001b[1;32m    124\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m map_exceptions(exc_map):\n\u001b[1;32m    125\u001b[0m     \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_sock\u001b[38;5;241m.\u001b[39msettimeout(timeout)\n\u001b[0;32m--> 126\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_sock\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrecv\u001b[49m\u001b[43m(\u001b[49m\u001b[43mmax_bytes\u001b[49m\u001b[43m)\u001b[49m\n",
      "File \u001b[0;32m/usr/lib/python3.10/ssl.py:1288\u001b[0m, in \u001b[0;36mSSLSocket.recv\u001b[0;34m(self, buflen, flags)\u001b[0m\n\u001b[1;32m   1284\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m flags \u001b[38;5;241m!=\u001b[39m \u001b[38;5;241m0\u001b[39m:\n\u001b[1;32m   1285\u001b[0m         \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m   1286\u001b[0m             \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mnon-zero flags not allowed in calls to recv() on \u001b[39m\u001b[38;5;132;01m%s\u001b[39;00m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;241m%\u001b[39m\n\u001b[1;32m   1287\u001b[0m             \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m\u001b[38;5;18m__class__\u001b[39m)\n\u001b[0;32m-> 1288\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mread\u001b[49m\u001b[43m(\u001b[49m\u001b[43mbuflen\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m   1289\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m   1290\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28msuper\u001b[39m()\u001b[38;5;241m.\u001b[39mrecv(buflen, flags)\n",
      "File \u001b[0;32m/usr/lib/python3.10/ssl.py:1161\u001b[0m, in \u001b[0;36mSSLSocket.read\u001b[0;34m(self, len, buffer)\u001b[0m\n\u001b[1;32m   1159\u001b[0m         \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_sslobj\u001b[38;5;241m.\u001b[39mread(\u001b[38;5;28mlen\u001b[39m, buffer)\n\u001b[1;32m   1160\u001b[0m     \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m-> 1161\u001b[0m         \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_sslobj\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mread\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mlen\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m   1162\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m SSLError \u001b[38;5;28;01mas\u001b[39;00m x:\n\u001b[1;32m   1163\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m x\u001b[38;5;241m.\u001b[39margs[\u001b[38;5;241m0\u001b[39m] \u001b[38;5;241m==\u001b[39m SSL_ERROR_EOF \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39msuppress_ragged_eofs:\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "import pickle\n",
    "book_answers = []\n",
    "\n",
    "i = 0\n",
    "while len(book_answers) < len(book_qas):\n",
    "    book_qa = book_qas[i]\n",
    "    book, how_solved, selected_problem, just_question, just_answer = book_qa\n",
    "    print(just_question)\n",
    "    \n",
    "    gpt_answer = run_gpt(\"You are a symbolic mathematics problem solver. Using any tools at your disposal, work out the solution to the following problem:\", f\"\"\"\n",
    "Find the solution to the following problem:\n",
    "\"{just_question}\"\n",
    "\"\"\")\n",
    "    print(gpt_answer)\n",
    "\n",
    "    book_answers.append((book, how_solved, selected_problem, just_question, just_answer, gpt_answer))\n",
    "    \n",
    "    # Open a file for writing binary data\n",
    "    with open('book_qas_subset_with_answers.pkl', 'wb') as file:\n",
    "        pickle.dump(book_answers, file)\n",
    "\n",
    "    #load again, because it may contain new problems now\n",
    "    with open('book_qas_subset.pkl', 'rb') as file:\n",
    "        book_qas = pickle.load(file)"
   ]
  }
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