Submission #855136

# Submission time Handle Problem Language Result Execution time Memory
855136 2023-09-30T09:53:17 Z coffee5427 The Kingdom of JOIOI (JOI17_joioi) C++17
100 / 100
1394 ms 102180 KB
#include <bits/stdc++.h>
#define int long long

using namespace std;

const int INF = 2e18;
const int MAXN = 2e3 + 5;
int n, m, mx, mn;
int a[MAXN][MAXN];
int g[MAXN][MAXN];

void rotate() {
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= m; j++) {
            g[j][n - i + 1] = a[i][j];
        }
    }
    swap(n, m);
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= m; j++) {
            a[i][j] = g[i][j];
        }
    }
}

bool check(int x) {
    int lim = m + 1;
    for (int i = 1; i <= n; i++) {
        int r = 0;
        for (int j = 1; j <= min(lim, m); j++) {
            if (mx - x <= a[i][j]) {
                r = max(r, j);
            } else {
                break;
            }
        }
        lim = r;
        for (int j = r + 1; j <= m; j++) {
            if (a[i][j] - x > mn) {
                return false;
            }
        }
    }
    return true;
}

int search() {
    int l = 0, r = 2e9 + 5;
    while (l < r) {
        int mid = (l + r) >> 1;
        if (check(mid)) {
            r = mid;
        } else {
            l = mid + 1;
        }
    }
    return r;
}

signed main() {
    cin >> n >> m;
    mx = -INF, mn = INF;
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= m; j++) {
            cin >> a[i][j];
            mx = max(mx, a[i][j]);
            mn = min(mn, a[i][j]);
        }
    }

    int ans = INF;
    ans = min(ans, search());
    rotate();
    ans = min(ans, search());
    rotate();
    ans = min(ans, search());
    rotate();
    ans = min(ans, search());

    ans = min(mx - mn, ans);
    cout << ans << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2488 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2488 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 2 ms 8540 KB Output is correct
16 Correct 9 ms 8540 KB Output is correct
17 Correct 13 ms 8900 KB Output is correct
18 Correct 13 ms 8796 KB Output is correct
19 Correct 13 ms 8796 KB Output is correct
20 Correct 12 ms 8932 KB Output is correct
21 Correct 15 ms 9052 KB Output is correct
22 Correct 14 ms 9052 KB Output is correct
23 Correct 14 ms 9052 KB Output is correct
24 Correct 13 ms 9052 KB Output is correct
25 Correct 14 ms 9048 KB Output is correct
26 Correct 15 ms 9048 KB Output is correct
27 Correct 14 ms 9052 KB Output is correct
28 Correct 14 ms 9052 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2488 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 2 ms 8540 KB Output is correct
16 Correct 9 ms 8540 KB Output is correct
17 Correct 13 ms 8900 KB Output is correct
18 Correct 13 ms 8796 KB Output is correct
19 Correct 13 ms 8796 KB Output is correct
20 Correct 12 ms 8932 KB Output is correct
21 Correct 15 ms 9052 KB Output is correct
22 Correct 14 ms 9052 KB Output is correct
23 Correct 14 ms 9052 KB Output is correct
24 Correct 13 ms 9052 KB Output is correct
25 Correct 14 ms 9048 KB Output is correct
26 Correct 15 ms 9048 KB Output is correct
27 Correct 14 ms 9052 KB Output is correct
28 Correct 14 ms 9052 KB Output is correct
29 Correct 1174 ms 85160 KB Output is correct
30 Correct 1105 ms 84748 KB Output is correct
31 Correct 1183 ms 86352 KB Output is correct
32 Correct 1173 ms 86496 KB Output is correct
33 Correct 1027 ms 83028 KB Output is correct
34 Correct 1159 ms 86296 KB Output is correct
35 Correct 1394 ms 101944 KB Output is correct
36 Correct 1198 ms 96716 KB Output is correct
37 Correct 1348 ms 102180 KB Output is correct