oj.uz

Submission #840027

# Submission time Handle Problem Language Result Execution time Memory
840027 2023-08-31T01:49:39 Z olnyfcxwps Soccer Stadium (IOI23_soccer) C++17
6 / 100
 296 ms 47308 KB 
#include <iostream>
#include <vector>
using namespace std;

const int N = 30;
int n;
int tree[2000][2000];
int prefix[N][N];
int dp1[N][N][N];
int dp2[N][N][N];

bool are_empty(int row, int col1, int col2) {
    if (col1 == 0) {
        return prefix[row][col2] == 0;
    }
    return prefix[row][col2] == prefix[row][col1 - 1];
}

int solve_1() {
    int x = 0;
    int y = 0;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            if (tree[i][j] == 1) {
                x = i;
                y = j;
            }
        }
    }
    x += 1;
    y += 1;
    int m = x * y;
    int t = x * (n - y + 1);
    if (t < m) {
        m = t;
    }
    t = (n - x + 1) * y;
    if (t < m) {
        m = t;
    }
    t = (n - x + 1) * (n - y + 1);
    if (t < m) {
        m = t;
    }
    return n * n - m;
}

int dp() {
    // init
    for (int i = 0; i < n; i++) {
        prefix[i][0] = tree[i][0];
        for (int j = 1; j < n; j++) {
            prefix[i][j] = prefix[i][j - 1] + tree[i][j];
        }
    }
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            for (int k = 0; k < n; k++) {
                dp1[i][j][k] = -1;
                dp2[i][j][k] = -1;
            }
        }
    }
    for (int j = 0; j < n; j++) {
        for (int k = j; k < n; k++) {
            // if all empty
            if (are_empty(0, j, k)) {
                dp1[0][j][k] = k - j + 1;
            }
        }
    }

    // dp from 1 to n - 1
    for (int i = 1; i < n; i++) {
        for (int j = 0; j < n; j++) {
            for (int k = j; k < n; k++) {
                // check base case
                if (are_empty(i, j, k)) {
                    dp1[i][j][k] = k - j + 1;
                } else {
                    continue;
                }
                for (int l = j; l <= k; l++) {
                    for (int m = l; m <= k; m++) {
                        // check if [l, m] are all empty
                        if (!are_empty(i - 1, l, m)) {
                            break;
                        }
                        // dp1
                        if (dp1[i - 1][l][m] != -1) {
                            int t = dp1[i - 1][l][m] + k - j + 1;
                            if (dp1[i][j][k] == -1 || dp1[i][j][k] < t) {
                                dp1[i][j][k] = t;
                            }
                        }
                    }
                }
            }
        }
    }

    for (int j = 0; j < n; j++) {
        for (int k = j; k < n; k++) {
            // if all empty
            if (are_empty(n - 1, j, k)) {
                dp2[n - 1][j][k] = k - j + 1;
            }
        }
    }

    // dp from n - 2 to 0
    for (int i = n - 2; i >= 0; i--) {
        for (int j = 0; j < n; j++) {
            for (int k = j; k < n; k++) {
                // check base case
                if (are_empty(i, j, k)) {
                    dp2[i][j][k] = k - j + 1;
                } else {
                    continue;
                }
                for (int l = j; l <= k; l++) {
                    for (int m = l; m <= k; m++) {
                        // check if [l, m] are all empty
                        if (!are_empty(i + 1, l, m)) {
                            break;
                        }
                        // dp2
                        if (dp2[i + 1][l][m] != -1) {
                            int t = dp2[i + 1][l][m] + k - j + 1;
                            if (dp2[i][j][k] == -1 || dp2[i][j][k] < t) {
                                dp2[i][j][k] = t;
                            }
                        }
                    }
                }
            }
        }
    }

    /*for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            for (int k = j; k < n; k++) {
                cout << i << " " << j << " " << k << " " << dp1[i][j][k] << "\n";
            }
        }
    }*/

    int ans = 0;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            for (int k = j; k < n; k++) {
                if (ans < dp1[i][j][k]) {
                    ans = dp1[i][j][k];
                }
                if (ans < dp2[i][j][k]) {
                    ans = dp2[i][j][k];
                }
                /*if (dp1[i][j][k] != -1 && dp2[i][j][k] != -1) {
                    int t = dp1[i][j][k] + dp2[i][j][k] - (k - j + 1);
                    if (t > ans) {
                        ans = t;
                    }
                }*/
            }
        }
    }

    return ans;
}

// int biggest_stadium(int N, int[][] F)
int biggest_stadium(int X, vector<vector<int>> F) {
    n = X;
    int total = 0;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            tree[i][j] = F[i][j];
            total += tree[i][j];
        }
    }
    if (total == 1) {
        return solve_1();
    }
    if (total == 0) {
        return n * n;
    }
    if (n > 30) {
        return 123;
    }

    int ans = dp();
    for (int i = 0; i < n; i++) {
        for (int j = i + 1; j < n; j++) {
            int t = tree[i][j];
            tree[i][j] = tree[j][i];
            tree[j][i] = t;
        }
    }
    int another_ans = dp();
    if (another_ans > ans) {
        ans = another_ans;
    }
    return ans;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 360 KB ok

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB ok
2 Correct 0 ms 212 KB ok
3 Correct 1 ms 340 KB ok
4 Correct 0 ms 340 KB ok
5 Correct 1 ms 212 KB ok
6 Correct 1 ms 212 KB ok
7 Correct 1 ms 724 KB ok
8 Correct 18 ms 5204 KB ok
9 Correct 296 ms 47308 KB ok

Subtask #2
0.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB ok
2 Correct 0 ms 212 KB ok
3 Correct 0 ms 340 KB ok
4 Correct 0 ms 340 KB ok
5 Correct 0 ms 340 KB ok
6 Correct 0 ms 340 KB ok
7 Partially correct 0 ms 340 KB partial
8 Correct 1 ms 340 KB ok
9 Correct 1 ms 260 KB ok
10 Correct 1 ms 340 KB ok
11 Correct 1 ms 340 KB ok
12 Correct 1 ms 340 KB ok
13 Incorrect 0 ms 340 KB wrong
14 Halted 0 ms 0 KB -

Subtask #3
0.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 360 KB ok
2 Correct 0 ms 212 KB ok
3 Correct 0 ms 212 KB ok
4 Correct 0 ms 340 KB ok
5 Correct 0 ms 340 KB ok
6 Correct 0 ms 340 KB ok
7 Correct 0 ms 340 KB ok
8 Partially correct 0 ms 340 KB partial
9 Correct 1 ms 340 KB ok
10 Correct 1 ms 260 KB ok
11 Correct 1 ms 340 KB ok
12 Correct 1 ms 340 KB ok
13 Correct 1 ms 340 KB ok
14 Incorrect 0 ms 340 KB wrong
15 Halted 0 ms 0 KB -

Subtask #4
0.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 360 KB ok
2 Correct 0 ms 212 KB ok
3 Correct 0 ms 212 KB ok
4 Correct 1 ms 340 KB ok
5 Correct 0 ms 340 KB ok
6 Correct 0 ms 340 KB ok
7 Correct 0 ms 340 KB ok
8 Correct 0 ms 340 KB ok
9 Correct 0 ms 340 KB ok
10 Partially correct 0 ms 340 KB partial
11 Correct 1 ms 340 KB ok
12 Correct 1 ms 260 KB ok
13 Correct 1 ms 340 KB ok
14 Correct 1 ms 340 KB ok
15 Correct 1 ms 340 KB ok
16 Incorrect 0 ms 340 KB wrong
17 Halted 0 ms 0 KB -

Subtask #5
0.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 360 KB ok
2 Correct 0 ms 212 KB ok
3 Correct 0 ms 212 KB ok
4 Correct 1 ms 340 KB ok
5 Correct 0 ms 340 KB ok
6 Correct 0 ms 340 KB ok
7 Correct 0 ms 340 KB ok
8 Correct 0 ms 340 KB ok
9 Correct 0 ms 340 KB ok
10 Partially correct 0 ms 340 KB partial
11 Correct 1 ms 340 KB ok
12 Correct 1 ms 260 KB ok
13 Correct 1 ms 340 KB ok
14 Correct 1 ms 340 KB ok
15 Correct 1 ms 340 KB ok
16 Incorrect 0 ms 340 KB wrong
17 Halted 0 ms 0 KB -

Subtask #6
0.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 360 KB ok
2 Correct 0 ms 212 KB ok
3 Correct 0 ms 212 KB ok
4 Correct 1 ms 340 KB ok
5 Correct 0 ms 340 KB ok
6 Correct 1 ms 212 KB ok
7 Correct 1 ms 212 KB ok
8 Correct 1 ms 724 KB ok
9 Correct 18 ms 5204 KB ok
10 Correct 296 ms 47308 KB ok
11 Correct 0 ms 340 KB ok
12 Correct 0 ms 340 KB ok
13 Correct 0 ms 340 KB ok
14 Correct 0 ms 340 KB ok
15 Partially correct 0 ms 340 KB partial
16 Correct 1 ms 340 KB ok
17 Correct 1 ms 260 KB ok
18 Correct 1 ms 340 KB ok
19 Correct 1 ms 340 KB ok
20 Correct 1 ms 340 KB ok
21 Incorrect 0 ms 340 KB wrong
22 Halted 0 ms 0 KB -