oj.uz

답안 #1083877

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1083877 2024-09-04T11:59:24 Z SamueleVid 메기 농장 (IOI22_fish) C++17
18 / 100
 977 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 = 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 = 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)];

                // 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] = 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

# 결과 실행 시간 메모리 Grader output
1 Correct 15 ms 4444 KB Output is correct
2 Correct 18 ms 5572 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 58 ms 17240 KB Output is correct
6 Correct 62 ms 17476 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 44 ms 10832 KB Output is correct
3 Correct 40 ms 13144 KB Output is correct
4 Correct 16 ms 4444 KB Output is correct
5 Correct 18 ms 5700 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 18 ms 6748 KB Output is correct
13 Correct 21 ms 7852 KB Output is correct
14 Correct 18 ms 6632 KB Output is correct
15 Correct 18 ms 7516 KB Output is correct
16 Correct 19 ms 6740 KB Output is correct
17 Correct 20 ms 7376 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 3 ms 2652 KB Output is correct
3 Correct 14 ms 5276 KB Output is correct
4 Correct 9 ms 4700 KB Output is correct
5 Correct 20 ms 7876 KB Output is correct
6 Correct 17 ms 7260 KB Output is correct
7 Correct 20 ms 7856 KB Output is correct
8 Correct 20 ms 7772 KB Output is correct

Subtask #4
0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 3 ms 2652 KB Output is correct
3 Correct 14 ms 5276 KB Output is correct
4 Correct 9 ms 4700 KB Output is correct
5 Correct 20 ms 7876 KB Output is correct
6 Correct 17 ms 7260 KB Output is correct
7 Correct 20 ms 7856 KB Output is correct
8 Correct 20 ms 7772 KB Output is correct
9 Runtime error 977 ms 2097152 KB Execution killed with signal 9
10 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 15 ms 4444 KB Output is correct
2 Correct 18 ms 5572 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 58 ms 17240 KB Output is correct
6 Correct 62 ms 17476 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 44 ms 10832 KB Output is correct
9 Correct 40 ms 13144 KB Output is correct
10 Correct 16 ms 4444 KB Output is correct
11 Correct 18 ms 5700 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 18 ms 6748 KB Output is correct
19 Correct 21 ms 7852 KB Output is correct
20 Correct 18 ms 6632 KB Output is correct
21 Correct 18 ms 7516 KB Output is correct
22 Correct 19 ms 6740 KB Output is correct
23 Correct 20 ms 7376 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 3 ms 2652 KB Output is correct
26 Correct 14 ms 5276 KB Output is correct
27 Correct 9 ms 4700 KB Output is correct
28 Correct 20 ms 7876 KB Output is correct
29 Correct 17 ms 7260 KB Output is correct
30 Correct 20 ms 7856 KB Output is correct
31 Correct 20 ms 7772 KB Output is correct
32 Correct 1 ms 348 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 -