oj.uz

Submission #406680

# Submission time Handle Problem Language Result Execution time Memory
406680 2021-05-18T02:33:31 Z cpp219 The Kingdom of JOIOI (JOI17_joioi) C++14
100 / 100
 1109 ms 125748 KB 
#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
 
constexpr bool typetest = 0;
constexpr int N = 2e3 + 5;
const int Inf = 1e9 + 7;
int m, n, maxn(-Inf);
int a[N][N], b[N][N], smin[N][N], smax[N][N];
int pmin[N][N], pmax[N][N], s[N], p[N];
 
void Read()
{
    cin >> m >> n;
 
    for (int i = 1; i <= m; ++i)
        for (int j = 1; j <= n; ++j)
        {
            cin >> a[i][j];
            maxn = max(maxn, a[i][j]);
        }
}
 
bool Check(int v)
{
    for (int i = 1; i <= m; ++i)
    {
        s[i] = 0;
        p[i] = n + 1;
 
        for (int j = 1; j <= n; ++j)
            if (a[i][j] < maxn - v)
            {
                p[i] = min(p[i], j);
                s[i] = max(s[i], j);
            }
    }
 
    int maxx(-Inf), minx(Inf), piv(n + 1);
 
    for (int i = m; i; --i)
    {
        piv = min(piv, p[i]);
        maxx = max(maxx, smax[i][piv]);
        minx = min(minx, smin[i][piv]);
    }
 
    if (maxx - minx <= v)
        return true;
 
    maxx = -Inf;
    minx = Inf;
    piv = 0;
 
    for (int i = 1; i <= m; ++i)
    {
        piv = max(piv, s[i]);
        maxx = max(maxx, pmax[i][piv]);
        minx = min(minx, pmin[i][piv]);
    }
 
    return (maxx - minx <= v);
}
 
int Cal()
{
 
    for (int i = 1; i <= m; ++i)
    {
        smin[i][n + 1] = pmin[i][0] = Inf;
        smax[i][n + 1] = pmax[i][0] = -Inf;
 
        for (int j = 1; j <= n; ++j)
        {
            pmin[i][j] = min(a[i][j], pmin[i][j - 1]);
            pmax[i][j] = max(a[i][j], pmax[i][j - 1]);
        }
 
        for (int j = n; j; --j)
        {
            smin[i][j] = min(smin[i][j + 1], a[i][j]);
            smax[i][j] = max(smax[i][j + 1], a[i][j]);
        }
    }
 
    //cerr << "ok !\n";
 
    int l = 0, mid, h = maxn;
 
    while (l <= h)
    {
        mid = (l + h) / 2;
 
        if (Check(mid))
            h = mid - 1;
        else
            l = mid + 1;
    }
 
    return l;
}
 
void Solve()
{
    int ans = Cal();
 
    //cerr << "ok ? \n";
 
    for (int i = 1; i <= m; ++i)
        for (int j = 1; j <= n; ++j)
            b[n - j + 1][i] = a[i][j];
 
    swap(m, n);
 
    for (int i = 1; i <= m; ++i)
        for (int j = 1; j <= n; ++j)
            a[i][j] = b[i][j];
 
    cout << min(ans, Cal());
}
 
int32_t main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int t(1);
    if (typetest)
        cin >> t;
    for (int _ = 1; _ <= t; ++_)
    {
        Read();
        Solve();
    }
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 528 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 588 KB Output is correct
8 Correct 1 ms 576 KB Output is correct
9 Correct 1 ms 588 KB Output is correct
10 Correct 1 ms 588 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 588 KB Output is correct
13 Correct 1 ms 588 KB Output is correct
14 Correct 1 ms 588 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 528 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 588 KB Output is correct
8 Correct 1 ms 576 KB Output is correct
9 Correct 1 ms 588 KB Output is correct
10 Correct 1 ms 588 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 588 KB Output is correct
13 Correct 1 ms 588 KB Output is correct
14 Correct 1 ms 588 KB Output is correct
15 Correct 3 ms 5196 KB Output is correct
16 Correct 7 ms 6112 KB Output is correct
17 Correct 11 ms 6264 KB Output is correct
18 Correct 11 ms 6348 KB Output is correct
19 Correct 11 ms 6348 KB Output is correct
20 Correct 12 ms 6288 KB Output is correct
21 Correct 13 ms 6476 KB Output is correct
22 Correct 14 ms 6372 KB Output is correct
23 Correct 13 ms 6476 KB Output is correct
24 Correct 12 ms 6348 KB Output is correct
25 Correct 15 ms 6432 KB Output is correct
26 Correct 12 ms 6476 KB Output is correct
27 Correct 12 ms 6496 KB Output is correct
28 Correct 12 ms 6496 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 528 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 588 KB Output is correct
8 Correct 1 ms 576 KB Output is correct
9 Correct 1 ms 588 KB Output is correct
10 Correct 1 ms 588 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 588 KB Output is correct
13 Correct 1 ms 588 KB Output is correct
14 Correct 1 ms 588 KB Output is correct
15 Correct 3 ms 5196 KB Output is correct
16 Correct 7 ms 6112 KB Output is correct
17 Correct 11 ms 6264 KB Output is correct
18 Correct 11 ms 6348 KB Output is correct
19 Correct 11 ms 6348 KB Output is correct
20 Correct 12 ms 6288 KB Output is correct
21 Correct 13 ms 6476 KB Output is correct
22 Correct 14 ms 6372 KB Output is correct
23 Correct 13 ms 6476 KB Output is correct
24 Correct 12 ms 6348 KB Output is correct
25 Correct 15 ms 6432 KB Output is correct
26 Correct 12 ms 6476 KB Output is correct
27 Correct 12 ms 6496 KB Output is correct
28 Correct 12 ms 6496 KB Output is correct
29 Correct 706 ms 116572 KB Output is correct
30 Correct 730 ms 114992 KB Output is correct
31 Correct 825 ms 117608 KB Output is correct
32 Correct 748 ms 117640 KB Output is correct
33 Correct 688 ms 113988 KB Output is correct
34 Correct 827 ms 117752 KB Output is correct
35 Correct 963 ms 115840 KB Output is correct
36 Correct 964 ms 125748 KB Output is correct
37 Correct 1109 ms 115764 KB Output is correct