oj.uz

Submission #750009

# Submission time Handle Problem Language Result Execution time Memory
750009 2023-05-29T03:42:56 Z Pring The Kingdom of JOIOI (JOI17_joioi) C++14
100 / 100
 1306 ms 102572 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
typedef pair<int, int> pii;

const int MXN = 2005;
int n, m, a[MXN][MXN], b[MXN][MXN];
bitset<MXN> lu[MXN];
pii C[MXN];
int big = 0, small = LLONG_MAX;
int l, r;

bool LU1() {
    for (int i = 0; i < n; i++) {
        lu[i].reset();
        for (int j = 0; j < m; j++) {
            // if (i) lu[i][j] |= lu[i - 1][j];
            // if (j) lu[i][j] |= lu[i][j - 1];
            if (i && lu[i - 1][j]) lu[i][j] = true;
            if (j && lu[i][j - 1]) lu[i][j] = true;
            if (b[i][j] == 2) lu[i][j] = true;
            if (b[i][j] == 1 && lu[i][j]) return false;
        }
    }
    // for (int i = 0; i < n; i++) {
    //     for (int j = 0; j < m; j++) cout << (lu[i][j] ? '1' : '0');
    //     cout << endl;
    // }
    // for (int i = 0; i < n; i++) {
    //     for (int j = 0; j < m; j++) {
    //         if (b[i][j] == 1 && lu[i][j]) return false;
    //     }
    // }
    return true;
}

bool LU2() {
    for (int i = 0; i < n; i++) {
        lu[i].reset();
        for (int j = 0; j < m; j++) {
            // if (i) lu[i][j] |= lu[i - 1][j];
            // if (j) lu[i][j] |= lu[i][j - 1];
            if (i && lu[i - 1][j]) lu[i][j] = true;
            if (j && lu[i][j - 1]) lu[i][j] = true;
            if (b[i][j] == 1) lu[i][j] = true;
            if (b[i][j] == 2 && lu[i][j]) return false;
        }
    }
    return true;
}

bool CHECK() {
    // for (int i = 0; i < n; i++) {
    //     for (int j = 0; j < m; j++) {
    //         cout << b[i][j] << ' ';
    //     }
    //     cout << endl;
    // }
    if (LU1()) return true;
    if (LU2()) return true;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m / 2; j++) {
            swap(b[i][j], b[i][m - j - 1]);
        }
    }
    if (LU1()) return true;
    if (LU2()) return true;
    return false;
}

bool check(int x) {
    if (big - 2 * x < 1) { // cross
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                if (a[i][j] < big - x) b[i][j] = 1;
                else if (x < a[i][j]) b[i][j] = 2;
                else b[i][j] = 0;
            }
        }
    } else { // not cross
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                if (a[i][j] <= x) b[i][j] = 1;
                else if (big - x <= a[i][j]) b[i][j] = 2;
                else return false;
            }
        }
    }
    // cout << x << endl;
    bool f = CHECK();
    // cout << (f ? "YES" : "NO") << endl;
    return f;
}

int32_t main() {
    cin.tie(0) -> sync_with_stdio(false);
    cin >> n >> m;
    for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) {
        cin >> a[i][j];
        big = max(big, a[i][j]);
        small = min(small, a[i][j]);
    }
    for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) {
        a[i][j] -= small;
    }
    big -= small;
    int l = -1, r = big;
    while (l + 1 < r) {
        int mid = (l + r) >> 1;
        (check(mid) ? r : l) = mid;
    }
    cout << r << endl;
    // for (int i = 0; i < 4; i++) {
    //     for (int j = 0; j < 4; j++) {
    //         cin >> b[i][j];
    //     }
    // }
    // n = 4, m = 4;
    // cout << LU1() << endl;
    return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 4 ms 2604 KB Output is correct
17 Correct 8 ms 2900 KB Output is correct
18 Correct 6 ms 2772 KB Output is correct
19 Correct 11 ms 2900 KB Output is correct
20 Correct 9 ms 2604 KB Output is correct
21 Correct 12 ms 2940 KB Output is correct
22 Correct 8 ms 2900 KB Output is correct
23 Correct 14 ms 2904 KB Output is correct
24 Correct 7 ms 2652 KB Output is correct
25 Correct 16 ms 2924 KB Output is correct
26 Correct 11 ms 3012 KB Output is correct
27 Correct 14 ms 2900 KB Output is correct
28 Correct 12 ms 2904 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 4 ms 2604 KB Output is correct
17 Correct 8 ms 2900 KB Output is correct
18 Correct 6 ms 2772 KB Output is correct
19 Correct 11 ms 2900 KB Output is correct
20 Correct 9 ms 2604 KB Output is correct
21 Correct 12 ms 2940 KB Output is correct
22 Correct 8 ms 2900 KB Output is correct
23 Correct 14 ms 2904 KB Output is correct
24 Correct 7 ms 2652 KB Output is correct
25 Correct 16 ms 2924 KB Output is correct
26 Correct 11 ms 3012 KB Output is correct
27 Correct 14 ms 2900 KB Output is correct
28 Correct 12 ms 2904 KB Output is correct
29 Correct 601 ms 82552 KB Output is correct
30 Correct 664 ms 85144 KB Output is correct
31 Correct 909 ms 86756 KB Output is correct
32 Correct 569 ms 86696 KB Output is correct
33 Correct 382 ms 76000 KB Output is correct
34 Correct 730 ms 86844 KB Output is correct
35 Correct 967 ms 102420 KB Output is correct
36 Correct 697 ms 97000 KB Output is correct
37 Correct 1306 ms 102572 KB Output is correct