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Submission #1083878

# Submission time Handle Problem Language Result Execution time Memory
1083878 2024-09-04T12:07:24 Z SamueleVid Catfish Farm (IOI22_fish) C++17
18 / 100
 1000 ms 2097152 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long

constexpr int MAXN = 1e5 + 5;
constexpr int PW = 512;

ll sum_tutto(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    ll sum = 0;
    for (auto x : W) sum += x;
    return sum;
}

ll res_minore_di_due(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    if (N == 2) {
        // massimo tra 0 e 1    
        ll one = 0;
        ll zero = 0;
        for (int i = 0; i < M; i ++) {
            if (X[i] == 0) zero += W[i];
            else one += W[i];
        }

        return max(one, zero);
    }

    // altrimenti piazza una riga in 2 e poi prendi prefisso maggiore piazzando in 1
    
    ll sum = 0;
    for (int i = 0; i < M; i ++) {
        if (X[i] == 1) sum += W[i];
    }

    vector<vector<ll>> pos(2, vector<ll>(N + 5, 0));

    for (int i = 0; i < M; i ++) {
        pos[X[i]][Y[i]] += W[i];
    }

    ll best_res = sum;

    ll sum_zero = 0;
    ll sum_uno = 0;
    for (int i = 0; i < N + 5; i ++) {
        sum_zero += pos[0][i];
        sum_uno += pos[1][i];
        best_res = max(best_res, sum - sum_uno + sum_zero);
    }

    return best_res;
}

ll res_y_zero(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    vector<vector<ll>> dp(2, vector<ll>(N + 5)); // posso prendere a sx o no, posizione

    vector<ll> grid(N + 5);
    for (int i = 0; i < M; i ++) grid[X[i]] = W[i];

    for (int i = N - 1; i >= 0; i --) {
        dp[0][i] = dp[1][i + 1];
        dp[0][i] = max(dp[0][i], dp[0][i + 1]);
        dp[0][i] = max(dp[0][i], dp[0][i + 2] + grid[i + 1]);
        dp[0][i] = max(dp[0][i], dp[1][i + 3] + grid[i + 1]);
        dp[0][i] = max(dp[0][i], dp[0][i + 3] + grid[i + 1]);

        if (i != 0) {
            dp[1][i] = dp[1][i + 1];
            dp[1][i] = max(dp[1][i], dp[0][i + 1] + grid[i - 1]);
            dp[1][i] = max(dp[1][i], dp[0][i + 2] + grid[i - 1] + grid[i + 1]); 
            dp[1][i] = max(dp[1][i], dp[1][i + 3] + grid[i - 1] + grid[i + 1]); 
            dp[1][i] = max(dp[1][i], dp[0][i + 3] + grid[i - 1] + grid[i + 1]); 
        }
    }

    ll best_res = 0;
    for (int i = 0; i <= N; i ++) {
        best_res = max(best_res, dp[0][i]);
        best_res = max(best_res, dp[1][i]);
    }
    return best_res;
}

ll cubic(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    // i, quanto lo alzo, quanto era alzato a destra
    // int MAXY = min(N, 9);
    int MAXY = N;
    ll dp[N + 5][MAXY + 5][MAXY + 5]; 

    for (int i = 0; i < N + 5; i ++) {
        for (int j = 0; j < MAXY + 5; j ++) {
            for (int k = 0; k < MAXY + 5; k ++) {
                dp[i][j][k] = 0;
            }
        }
    }

    ll grid[N + 5][MAXY + 5];
    for (int i = 0; i < N + 5; i ++) {
        for (int j = 0; j < MAXY + 5; j ++) {
            grid[i][j] = 0;
        }
    }

    for (int i = 0; i < M; i ++) grid[X[i]][Y[i]] = W[i];

    ll ps_grid[N + 5][MAXY + 5]; // 1 based per le Y

    for (int i = 0; i < N + 5; i ++) {
        ps_grid[i][0] = 0;
        for (int j = 0; j < MAXY + 4; j ++) {
            ps_grid[i][j + 1] = ps_grid[i][j] + grid[i][j];
        }
    }

    for (int i = N - 1; i >= 0; i --) {
        for (int y = 0; y <= MAXY; y ++) {
            for (int dx = 0; dx <= MAXY; dx ++) {
                // quanto mi alzo
                for (int dxdx = 0; dxdx <= MAXY; dxdx ++) {
 
                    ll preso = -ps_grid[i][min(dx, y)];
                    if (y > max(dx, dxdx)) {
                        preso += ps_grid[i + 1][y] - ps_grid[i + 1][max(dx, dxdx)];
                    }
                    if (i > 0) {
                        preso += ps_grid[i - 1][y];
                        // cout << " e poi si aggiunge a sx " << ps_grid[i - 1][y] << '\n';
                    }

                    // cout << "preso : " << preso << '\n';
                    // cout << "new value : " << dp[i + 1][dx][dxdx] + preso << '\n';

                    dp[i][y][dx] = max(dp[i][y][dx], dp[i + 1][dx][dxdx] + preso);
                }
            }
        }
    }

    ll res = 0;
    for (int i = 0; i < N; i ++) {
        for (int y = 0; y < MAXY; y ++) {
            for (int dx = 0; dx < MAXY; dx ++) {
                res = max(res, dp[i][y][dx]);
            }
        }
    }

    return res;
}


struct segment {
    vector<ll> seg;

    segment() {
        seg.assign(2 * PW, 0);
    }

    void update(int x, ll d) {
        x += PW;
        while (x >= 1) {
            seg[x] = max(seg[x], d);
            x /= 2;
        }
    }

    ll query(int l, int r) {
        l += PW; r += PW;
        ll res = 0;
        while (l <= r) {
            if (l % 2 == 1) {
                res = max(res, seg[l]);
                l ++;
            }
            if (r % 2 == 0) {
                res = max(res, seg[r]);
                r --;
            }
            l /= 2; r /= 2;
        }
        return res;
    }
};

ll cubic_seg(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    // i, quanto lo alzo, quanto era alzato a destra
    // int MAXY = min(N, 9);
    int MAXY = N;
    ll dp[N + 5][MAXY + 5][MAXY + 5]; 

    ll seg_no_ps[N + 5][MAXY + 5][MAXY + 5];
    ll seg_ps[N + 5][MAXY + 5][MAXY + 5];

    for (int i = 0; i < N + 5; i ++) {
        for (int j = 0; j < MAXY + 5; j ++) {
            for (int k = 0; k < MAXY + 5; k ++) {
                dp[i][j][k] = 0;
            }
        }
    }

    for (int i = 0; i < N + 5; i ++) {
        for (int j = 0; j < MAXY + 5; j ++) {
            for (int k = 0; k < MAXY + 5; k ++) {
                seg_no_ps[i][j][k] = 0;
                seg_ps[i][j][k] = 0;
            }
        }
    }

    ll grid[N + 5][MAXY + 5];
    for (int i = 0; i < N + 5; i ++) {
        for (int j = 0; j < MAXY + 5; j ++) {
            grid[i][j] = 0;
        }
    }

    for (int i = 0; i < M; i ++) grid[X[i]][Y[i]] = W[i];

    ll ps_grid[N + 5][MAXY + 5]; // 1 based per le Y

    for (int i = 0; i < N + 5; i ++) {
        ps_grid[i][0] = 0;
        for (int j = 0; j < MAXY + 4; j ++) {
            ps_grid[i][j + 1] = ps_grid[i][j] + grid[i][j];
        }
    }

    // cout << "N, MAXY : " << N << " " << MAXY << '\n';

    // cout << "grid : " << '\n';
    // for (int i = 0; i < N + 5; i ++) {
    //     for (int j = 0; j < MAXY + 5; j ++) {
    //         cout << grid[i][j] << " ";
    //     }
    //     cout << '\n';
    // }
    // cout << "ps_grid " << '\n';
    // for (int i = 0; i < N + 5; i ++) {
    //     for (int j = 0; j < MAXY + 5; j ++) {
    //         cout << ps_grid[i][j] << " ";
    //     }
    //     cout << '\n';
    // }

    for (int i = N - 1; i >= 0; i --) {

        vector<vector<ll>> curr_right_of_dx_right_of_y(MAXY + 1, vector<ll>(MAXY + 1));

        for (int dx = 0; dx <= MAXY; dx ++) {
            curr_right_of_dx_right_of_y[dx][MAXY] = seg_no_ps[i + 1][dx][MAXY];
            for (int i = MAXY - 1; i >= 0; i --) {
                curr_right_of_dx_right_of_y[dx][i] = max(
                    curr_right_of_dx_right_of_y[dx][i + 1], seg_no_ps[i + 1][dx][i]
                );
            }
        }

        vector<vector<ll>> curr_left_of_dx(MAXY + 1, vector<ll>(MAXY + 1));

        for (int dx = 0; dx <= MAXY; dx ++) {
            curr_left_of_dx[dx][0] = seg_no_ps[i + 1][dx][0];
            for (int i = 1; i <= MAXY; i ++) {
                curr_left_of_dx[dx][i] = max(
                    curr_left_of_dx[dx][i - 1], seg_no_ps[i + 1][dx][i]
                );
            }
        }

        vector<vector<ll>> curr_right_of_dx_left_of_y(MAXY + 1, vector<ll>(MAXY + 1));

        for (int dx = 0; dx <= MAXY; dx ++) {
            curr_right_of_dx_left_of_y[dx][dx] = seg_ps[i + 1][dx][dx];
            for (int i = dx + 1; i <= MAXY; i ++) {
                curr_right_of_dx_left_of_y[dx][i] = max(
                    curr_right_of_dx_left_of_y[dx][i - 1], seg_ps[i + 1][dx][i]
                );
            }
        }


        for (int y = 0; y <= MAXY; y ++) {
            
            for (int dx = 0; dx <= MAXY; dx ++) {

                // cout << "i, y, dx : " << i << " " << y << " " << dx << '\n';

                // cout << "---- i, y, dx : " << i << " " << y << " " << dx << '\n';

                ll preso = -ps_grid[i][min(dx, y)];
                if (i > 0) preso += ps_grid[i - 1][y];

                // cout << "preso : " << preso << '\n';
                // cout << "vedo quelli " << i + 1 << " " << dx << " : " << '\n';
                // for (auto x : seg_no_ps[i + 1][dx].seg) cout << x << " ";
                // cout << '\n';
                // for (auto x : seg_ps[i + 1][dx].seg) cout << x << " ";
                // cout << '\n';
                
                // dxdx a sinistra di dx;
                ll left_of_dx = max(0ll, curr_left_of_dx[dx][dx]) + ps_grid[i + 1][max(y, dx)] - ps_grid[i + 1][dx];
                // cout << "reale massimo no ps da 0 a " << dx << " : " << seg_no_ps[i + 1][dx].query(0, dx) << '\n';

                // dxdx a destra di dx;
                ll right_of_dx_left_of_y = 0;
                if (y > dx) {
                    right_of_dx_left_of_y = max(0ll, curr_right_of_dx_left_of_y[dx][y]) + ps_grid[i + 1][y];
                }

                ll right_of_dx_right_of_y = max(0ll, curr_right_of_dx_right_of_y[dx][max(dx, y)]);

                // cout << "left_of_dx -> " << left_of_dx << '\n';
                // cout << "right_of_dx_left_of_y -> " << right_of_dx_left_of_y << '\n';
                // cout << "right_of_dx_right_of_y -> " << right_of_dx_right_of_y << '\n';

                dp[i][y][dx] = max(dp[i][y][dx], left_of_dx + preso);
                dp[i][y][dx] = max(dp[i][y][dx], right_of_dx_left_of_y + preso);
                dp[i][y][dx] = max(dp[i][y][dx], right_of_dx_right_of_y + preso);

                // cout << "aggiungo nei seg no ps " << i << ", " << y << " a pos " << dx << " : " << dp[i][y][dx] << " e nei seg ps " << dp[i][y][dx] - ps_grid[i][dx] << '\n';

                seg_no_ps[i][y][dx] = max(dp[i][y][dx], seg_no_ps[i][y][dx]);
                seg_ps[i][y][dx] = max(dp[i][y][dx] - ps_grid[i][dx], seg_ps[i][y][dx]);
                
            }
        }
    }

    ll res = 0;
    for (int i = 0; i < N; i ++) {
        for (int y = 0; y < MAXY; y ++) {
            for (int dx = 0; dx < MAXY; dx ++) {
                res = max(res, dp[i][y][dx]);
            }
        }
    }

    return res;
}


ll max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    bool all_even = 1;
    for (auto x : X) if (x % 2) all_even = 0;
    if (all_even) return sum_tutto(N, M, X, Y, W);

    bool minore_di_due = 1;
    for (auto x : X) if (x >= 2) minore_di_due = 0;
    if (minore_di_due) return res_minore_di_due(N, M, X, Y, W);

    bool y_zero = 1;
    for (auto y : Y) if (y > 0) y_zero = 0;
    if (y_zero) return res_y_zero(N, M, X, Y, W);

    return cubic_seg(N, M, X, Y, W);
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 3160 KB Output is correct
2 Correct 17 ms 3928 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 63 ms 10868 KB Output is correct
6 Correct 57 ms 10832 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 31 ms 8232 KB Output is correct
3 Correct 37 ms 9820 KB Output is correct
4 Correct 27 ms 3180 KB Output is correct
5 Correct 19 ms 3920 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 600 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 24 ms 5212 KB Output is correct
13 Correct 20 ms 6236 KB Output is correct
14 Correct 16 ms 5212 KB Output is correct
15 Correct 19 ms 5976 KB Output is correct
16 Correct 15 ms 5248 KB Output is correct
17 Correct 19 ms 5844 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 3 ms 2652 KB Output is correct
3 Correct 11 ms 4476 KB Output is correct
4 Correct 10 ms 3956 KB Output is correct
5 Correct 19 ms 6232 KB Output is correct
6 Correct 18 ms 6236 KB Output is correct
7 Correct 18 ms 6228 KB Output is correct
8 Correct 21 ms 6228 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '7', found: '5'
3 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '7', found: '5'
3 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '7', found: '5'
3 Halted 0 ms 0 KB -

Subtask #7
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 3 ms 2652 KB Output is correct
3 Correct 11 ms 4476 KB Output is correct
4 Correct 10 ms 3956 KB Output is correct
5 Correct 19 ms 6232 KB Output is correct
6 Correct 18 ms 6236 KB Output is correct
7 Correct 18 ms 6228 KB Output is correct
8 Correct 21 ms 6228 KB Output is correct
9 Execution timed out 1035 ms 2097152 KB Time limit exceeded
10 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 3160 KB Output is correct
2 Correct 17 ms 3928 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 63 ms 10868 KB Output is correct
6 Correct 57 ms 10832 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 31 ms 8232 KB Output is correct
9 Correct 37 ms 9820 KB Output is correct
10 Correct 27 ms 3180 KB Output is correct
11 Correct 19 ms 3920 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 24 ms 5212 KB Output is correct
19 Correct 20 ms 6236 KB Output is correct
20 Correct 16 ms 5212 KB Output is correct
21 Correct 19 ms 5976 KB Output is correct
22 Correct 15 ms 5248 KB Output is correct
23 Correct 19 ms 5844 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 11 ms 4476 KB Output is correct
27 Correct 10 ms 3956 KB Output is correct
28 Correct 19 ms 6232 KB Output is correct
29 Correct 18 ms 6236 KB Output is correct
30 Correct 18 ms 6228 KB Output is correct
31 Correct 21 ms 6228 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '7', found: '5'
34 Halted 0 ms 0 KB -