Fishing.cpp

#include <bits/stdc++.h>

using namespace std;

const int MAXN = 110;
const int MAX_V = 10010;
const int INF = INT_MAX / 5;

int T;
int N, M;
int P[MAXN][MAXN];
int dp1[MAXN][MAXN][MAXN];
int dp2[MAXN][MAXN][MAXN];

int max_path(int a, int b, int len) {
    if (len == 0) {
        return 0;
    } else if (a >= N || b >= M) {
        return -INF;
    } else {
        int& ans = dp1[a][b][len];
   
        if (ans == -1) {
            ans = P[a][b] + max_path(a + 1, b + 1, len - 1);
            ans = max(ans, max_path(a + 1, b, len));
            ans = max(ans, max_path(a, b + 1, len));
        }
   
        return ans;
    }
}

int min_path(int a, int b, int len) {
    if (len == 0) {
        return 0;
    } else if (a >= N || b >= M) {
        return INF;
    } else {
        int& ans = dp2[a][b][len];
   
        if (ans == -1) {
            ans = INF;
            ans = P[a][b] + min_path(a + 1, b + 1, len - 1);
            ans = min(ans, min_path(a + 1, b, len));
            ans = min(ans, min_path(a, b + 1, len));
        }
   
        return ans;
    }
}

void gen() {
    int t = 10;
    cout << t << "\n";
 
    for (int a = 0; a < t; a++) {
        cout << 100 << " " << 100 << "\n";

        for (int i = 0; i < 100; i++) {
            for (int j= 0; j < 100; j++) {
                cout << rand() % 1000 << " ";
            }
            cout << "\n";
        }
    }
}

int main() {
    //gen();
    //return 0;
    cin >> T;

    for (int t = 1; t <= T; t++) {
        cin >> N >> M;

        for (int i = 0; i < N; i++) {
            for (int j = 0; j < M; j++) {
                cin >> P[i][j];
   
                for (int k = 0; k < MAXN; k++) {
                    dp1[i][j][k] = dp2[i][j][k] = -1;
                }
            }
        }   

        int ans = 0;

        for (int m = 1; m <= N / 2; m++) {     
            int pa = max_path(0, 0, m);
            int pb = min_path(0, 0, 2 * m);
     
            //cout << m << " " << pa << " " << pb << "\n";
            int profit = max(0, pa - pb);
     
            if (profit > ans) {
                ans = profit;
            }
        }

        cout << ans << "\n";
    }
    return 0;
}