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use std::cmp::*; | ||
use std::io::Read; | ||
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fn get_word() -> String { | ||
let stdin = std::io::stdin(); | ||
let mut stdin=stdin.lock(); | ||
let mut u8b: [u8; 1] = [0]; | ||
loop { | ||
let mut buf: Vec<u8> = Vec::with_capacity(16); | ||
loop { | ||
let res = stdin.read(&mut u8b); | ||
if res.unwrap_or(0) == 0 || u8b[0] <= b' ' { | ||
break; | ||
} else { | ||
buf.push(u8b[0]); | ||
} | ||
} | ||
if buf.len() >= 1 { | ||
let ret = String::from_utf8(buf).unwrap(); | ||
return ret; | ||
} | ||
} | ||
} | ||
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fn get<T: std::str::FromStr>() -> T { get_word().parse().ok().unwrap() } | ||
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fn mo(a: i64) -> i64 { | ||
(a % 606 + 606) % 606 | ||
} | ||
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fn det3(mat: &[Vec<i64>]) -> i64 { | ||
let mut ret = 0; | ||
for i in 0..3 { | ||
let mut prod = 1; | ||
for j in 0..3 { | ||
prod *= mat[j][(i + j) % 3]; | ||
} | ||
ret += prod; | ||
} | ||
for i in 0..3 { | ||
let mut prod = 1; | ||
for j in 0..3 { | ||
prod *= mat[j][(i + 2 * j) % 3]; | ||
} | ||
ret -= prod; | ||
} | ||
ret | ||
} | ||
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// https://yukicoder.me/problems/no/2727 (3.5) | ||
// 操作において j = k であれば体積が A[i]+1 倍になり、そうでなければ体積はそのままである。 | ||
// そのため実質的には、各プレイヤーが体積を A[i]+1 倍するかどうか、というゲームである。 | ||
// 6V mod 606 は 606 通りしかないので、これをキーにして DP をすればよい。 | ||
// Tags: dp | ||
fn main() { | ||
let t: i32 = get(); | ||
for _ in 0..t { | ||
let n: usize = get(); | ||
let k: usize = get(); | ||
let mut p = vec![vec![0i64; 3]; 3]; | ||
for i in 0..3 { | ||
for j in 0..3 { | ||
p[i][j] = get(); | ||
} | ||
} | ||
let a: Vec<usize> = (0..n).map(|_| get()).collect(); | ||
let s: Vec<_> = get_word().chars().collect(); | ||
let mut dp = vec![[0; 606]; n + 1]; | ||
for i in 0..k { | ||
dp[n][6 * i] = -1; | ||
} | ||
for i in k..101 { | ||
dp[n][6 * i] = 1; | ||
} | ||
for i in (0..n).rev() { | ||
if s[i] == 'K' { | ||
for j in 0..606 { | ||
let mut ma = dp[i + 1][j]; | ||
ma = max(ma, dp[i + 1][j * (a[i] + 1) % 606]); | ||
dp[i][j] = ma; | ||
} | ||
} else { | ||
for j in 0..606 { | ||
let mut mi = dp[i + 1][j]; | ||
mi = min(mi, dp[i + 1][j * (a[i] + 1) % 606]); | ||
dp[i][j] = mi; | ||
} | ||
} | ||
} | ||
let vraw = det3(&p).abs(); | ||
if vraw == 0 { | ||
println!("D"); | ||
continue; | ||
} | ||
let v = mo(vraw) as usize; | ||
println!("{}", if dp[0][v] == 1 { "K" } else if dp[0][v] == 0 { "D" } else { "P" }); | ||
} | ||
} |