oj.uz

Submission #996282

# Submission time Handle Problem Language Result Execution time Memory
996282 2024-06-10T11:05:14 Z yanb The Kingdom of JOIOI (JOI17_joioi) C++14
60 / 100
 4000 ms 82228 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long

bool good(int n, int m, vector<vector<int>> &a, int x) {
    int mn = 1e11, mx = -1e11;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            mn = min(mn, a[i][j]);
            mx = max(mx, a[i][j]);
        }
    }

    vector<vector<int>> need(n, vector<int>(m));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            if (a[i][j] <= mx - x) need[i][j] += 1;
            if (a[i][j] >= mn + x) need[i][j] += 2;
            if (need[i][j] == 3) return 0;
        }
    }

    /*for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            switch (need[i][j]) {
                case 0: cout << "  "; break;
                case 1: cout << "- "; break;
                case 2: cout << "+ "; break;
                case 3: cout << "± ";
            }
        }
        cout << "\n";
    }*/

    for (int i = 0; i < n; i++) {
        bool ones = 1;
        for (int j = 0; j < m; j++) {
            if (need[i][j] == 1) {
                if (!ones) return 0;
            }
            if (need[i][j] == 2) {
                if (ones) ones = 0;
            }
        }
    }

    vector<int> depth(n, -1);
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            if (need[i][j] == 2) break;
            if (need[i][j] == 1) depth[i] = j;
            if (need[i][j] == 0) depth[i] = max(depth[i], min((i > 0 ? depth[i - 1] : (int)(1e9)), j));
        }
        //cout << depth[i] << " ";
    }
    //cout << "\n";

    for (int i = 0; i < n - 1; i++) {
        if (depth[i] < depth[i + 1]) return 0;
    }
    return 1;
}

int solve(int n, int m, vector<vector<int>> &a) {
    /*for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            cout << a[i][j] << " ";
        }
        cout << "\n";
    }*/

    int l = -1, r = 1e11;
    while (r - l > 1) {
        int md = (l + r) / 2;
        if (good(n, m, a, md)) {
            //cout << "Good " << md << "\n";
            r = md;
        } else {
            //cout << "Bad " << md << "\n";
            l = md;
        }
    }
    //cout << l << "\n\n";

    return l;
}

vector<vector<int>> fliph(int n, int m, vector<vector<int>> &a) {
    vector<vector<int>> ans(n, vector<int>(m));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            ans[i][j] = a[i][m - j - 1];
        }
    }
    return ans;
}

vector<vector<int>> flipv(int n, int m, vector<vector<int>> &a) {
    vector<vector<int>> ans(n, vector<int>(m));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            ans[i][j] = a[n - 1 - i][j];
        }
    }
    return ans;
}

vector<vector<int>> flips(int n, int m, vector<vector<int>> &a) {
    vector<vector<int>> ans(n, vector<int>(m));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            ans[i][j] = -a[i][j];
        }
    }
    return ans;
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int n, m;
    cin >> n >> m;
    vector<vector<int>> a(n, vector<int>(m));

    for (int i = 0; i < n; i++)
        for (int j = 0; j < m; j++)
            cin >> a[i][j];

    int ans = solve(n, m, a);
    a = fliph(n, m, a);
    ans = min(ans, solve(n, m, a));
    a = flipv(n, m, a);
    ans = min(ans, solve(n, m, a));
    a = fliph(n, m, a);
    ans = min(ans, solve(n, m, a));
    a = flips(n, m, a);
    ans = min(ans, solve(n, m, a));
    a = fliph(n, m, a);
    ans = min(ans, solve(n, m, a));
    a = flipv(n, m, a);
    ans = min(ans, solve(n, m, a));
    a = fliph(n, m, a);
    ans = min(ans, solve(n, m, a));

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

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 4 ms 348 KB Output is correct
16 Correct 58 ms 1128 KB Output is correct
17 Correct 59 ms 1368 KB Output is correct
18 Correct 62 ms 1356 KB Output is correct
19 Correct 62 ms 1684 KB Output is correct
20 Correct 82 ms 1268 KB Output is correct
21 Correct 59 ms 1492 KB Output is correct
22 Correct 57 ms 1476 KB Output is correct
23 Correct 64 ms 1488 KB Output is correct
24 Correct 55 ms 1360 KB Output is correct
25 Correct 101 ms 1484 KB Output is correct
26 Correct 61 ms 1476 KB Output is correct
27 Correct 59 ms 1472 KB Output is correct
28 Correct 59 ms 1476 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 4 ms 348 KB Output is correct
16 Correct 58 ms 1128 KB Output is correct
17 Correct 59 ms 1368 KB Output is correct
18 Correct 62 ms 1356 KB Output is correct
19 Correct 62 ms 1684 KB Output is correct
20 Correct 82 ms 1268 KB Output is correct
21 Correct 59 ms 1492 KB Output is correct
22 Correct 57 ms 1476 KB Output is correct
23 Correct 64 ms 1488 KB Output is correct
24 Correct 55 ms 1360 KB Output is correct
25 Correct 101 ms 1484 KB Output is correct
26 Correct 61 ms 1476 KB Output is correct
27 Correct 59 ms 1472 KB Output is correct
28 Correct 59 ms 1476 KB Output is correct
29 Execution timed out 4091 ms 82228 KB Time limit exceeded
30 Halted 0 ms 0 KB -