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Q14889.java
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Q14889.java
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package forRank;
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.util.ArrayList;
import java.util.StringTokenizer;
public class Q14889 {
private static int N;
private static int map[][];
private static int minValue;
private static boolean visited[];
private static void getValue(int cnt, int index){
if(cnt == N / 2){
int startSum = 0;
int linkSum = 0;
int startIndex[] = new int[N / 2];
int linkIndex[] = new int[N / 2];
int startIndexIndex = 0;
int linkIndexIndex = 0;
for (int i = 0; i < N; i++) {
if(visited[i])
startIndex[startIndexIndex++] = i;
else
linkIndex[linkIndexIndex++] = i;
}
for (int i = 1; i < N / 2; i++) {
for (int j = 0; j < i; j++) {
startSum += map[startIndex[i]][startIndex[j]];
startSum += map[startIndex[j]][startIndex[i]];
linkSum += map[linkIndex[i]][linkIndex[j]];
linkSum += map[linkIndex[j]][linkIndex[i]];
}
}
minValue = Math.min(minValue, Math.abs(startSum - linkSum));
return;
}
for (int i = index; i < N; i++) {
if(!visited[i]){
visited[i] = true;
getValue(cnt + 1, i + 1);
visited[i] = false;
}
}
}
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
N = Integer.parseInt(br.readLine());
map = new int[N][N];
visited = new boolean[N];
minValue = Integer.MAX_VALUE;
//inputs
for (int i = 0; i < N; i++) {
StringTokenizer st = new StringTokenizer(br.readLine());
for (int j = 0; j < N; j++)
map[i][j] = Integer.parseInt(st.nextToken());
}
getValue(0, 0);
bw.write(minValue + "\n");
br.close();
bw.close();
}
}