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Submission #1083978

# Submission time Handle Problem Language Result Execution time Memory
1083978 2024-09-04T17:53:20 Z SamueleVid Catfish Farm (IOI22_fish) C++17
32 / 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];
        }
    }

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

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

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


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

                ll preso = -ps_grid[i][min(dx, y)];
                if (i > 0) preso += ps_grid[i - 1][y];
                
                // dxdx a sinistra di dx;
                ll left_of_dx = curr_left_of_dx[dx][dx] + ps_grid[i + 1][max(y, dx)] - ps_grid[i + 1][dx];

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

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

                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);

                seg_no_ps[i][y][dx] = dp[i][y][dx];
                seg_ps[i][y][dx] = dp[i][y][dx] - ps_grid[i][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 16 ms 4444 KB Output is correct
2 Correct 18 ms 5564 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 64 ms 17364 KB Output is correct
6 Correct 65 ms 17492 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 32 ms 11048 KB Output is correct
3 Correct 39 ms 13136 KB Output is correct
4 Correct 15 ms 4576 KB Output is correct
5 Correct 20 ms 5668 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 436 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 18 ms 6640 KB Output is correct
13 Correct 21 ms 8028 KB Output is correct
14 Correct 17 ms 6744 KB Output is correct
15 Correct 20 ms 7516 KB Output is correct
16 Correct 18 ms 6748 KB Output is correct
17 Correct 18 ms 7516 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 2 ms 2652 KB Output is correct
3 Correct 13 ms 5276 KB Output is correct
4 Correct 10 ms 4700 KB Output is correct
5 Correct 22 ms 7876 KB Output is correct
6 Correct 18 ms 7248 KB Output is correct
7 Correct 20 ms 7768 KB Output is correct
8 Correct 22 ms 7764 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 432 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 104 ms 88812 KB Output is correct
10 Correct 764 ms 670532 KB Output is correct
11 Correct 102 ms 89128 KB Output is correct
12 Correct 771 ms 670520 KB Output is correct
13 Correct 11 ms 12636 KB Output is correct
14 Correct 767 ms 670464 KB Output is correct

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 432 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 104 ms 88812 KB Output is correct
10 Correct 764 ms 670532 KB Output is correct
11 Correct 102 ms 89128 KB Output is correct
12 Correct 771 ms 670520 KB Output is correct
13 Correct 11 ms 12636 KB Output is correct
14 Correct 767 ms 670464 KB Output is correct
15 Correct 968 ms 670444 KB Output is correct
16 Correct 12 ms 12636 KB Output is correct
17 Correct 781 ms 672804 KB Output is correct
18 Correct 773 ms 672948 KB Output is correct
19 Correct 780 ms 672792 KB Output is correct
20 Correct 780 ms 672780 KB Output is correct
21 Correct 777 ms 672756 KB Output is correct
22 Incorrect 797 ms 675156 KB 1st lines differ - on the 1st token, expected: '30031507901281', found: '30030588286560'
23 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 Correct 0 ms 432 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 104 ms 88812 KB Output is correct
10 Correct 764 ms 670532 KB Output is correct
11 Correct 102 ms 89128 KB Output is correct
12 Correct 771 ms 670520 KB Output is correct
13 Correct 11 ms 12636 KB Output is correct
14 Correct 767 ms 670464 KB Output is correct
15 Correct 968 ms 670444 KB Output is correct
16 Correct 12 ms 12636 KB Output is correct
17 Correct 781 ms 672804 KB Output is correct
18 Correct 773 ms 672948 KB Output is correct
19 Correct 780 ms 672792 KB Output is correct
20 Correct 780 ms 672780 KB Output is correct
21 Correct 777 ms 672756 KB Output is correct
22 Incorrect 797 ms 675156 KB 1st lines differ - on the 1st token, expected: '30031507901281', found: '30030588286560'
23 Halted 0 ms 0 KB -

Subtask #7
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 2 ms 2652 KB Output is correct
3 Correct 13 ms 5276 KB Output is correct
4 Correct 10 ms 4700 KB Output is correct
5 Correct 22 ms 7876 KB Output is correct
6 Correct 18 ms 7248 KB Output is correct
7 Correct 20 ms 7768 KB Output is correct
8 Correct 22 ms 7764 KB Output is correct
9 Execution timed out 1022 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 16 ms 4444 KB Output is correct
2 Correct 18 ms 5564 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 64 ms 17364 KB Output is correct
6 Correct 65 ms 17492 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 32 ms 11048 KB Output is correct
9 Correct 39 ms 13136 KB Output is correct
10 Correct 15 ms 4576 KB Output is correct
11 Correct 20 ms 5668 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 436 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 18 ms 6640 KB Output is correct
19 Correct 21 ms 8028 KB Output is correct
20 Correct 17 ms 6744 KB Output is correct
21 Correct 20 ms 7516 KB Output is correct
22 Correct 18 ms 6748 KB Output is correct
23 Correct 18 ms 7516 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 13 ms 5276 KB Output is correct
27 Correct 10 ms 4700 KB Output is correct
28 Correct 22 ms 7876 KB Output is correct
29 Correct 18 ms 7248 KB Output is correct
30 Correct 20 ms 7768 KB Output is correct
31 Correct 22 ms 7764 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 0 ms 432 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 104 ms 88812 KB Output is correct
41 Correct 764 ms 670532 KB Output is correct
42 Correct 102 ms 89128 KB Output is correct
43 Correct 771 ms 670520 KB Output is correct
44 Correct 11 ms 12636 KB Output is correct
45 Correct 767 ms 670464 KB Output is correct
46 Correct 968 ms 670444 KB Output is correct
47 Correct 12 ms 12636 KB Output is correct
48 Correct 781 ms 672804 KB Output is correct
49 Correct 773 ms 672948 KB Output is correct
50 Correct 780 ms 672792 KB Output is correct
51 Correct 780 ms 672780 KB Output is correct
52 Correct 777 ms 672756 KB Output is correct
53 Incorrect 797 ms 675156 KB 1st lines differ - on the 1st token, expected: '30031507901281', found: '30030588286560'
54 Halted 0 ms 0 KB -