oj.uz

Submission #51562

# Submission time Handle Problem Language Result Execution time Memory
51562 2018-06-18T15:42:18 Z Flying_dragon_02 The Kingdom of JOIOI (JOI17_joioi) C++17
100 / 100
 2685 ms 63612 KB 
#include<bits/stdc++.h>

using namespace std;

const int inf = 1e9;
int n,m,pos[2005];
int a[2005][2005],ans = inf,mn = inf,mini[2005][2005],maxi[2005][2005],temp[2005][2005];

void _rotate(){
    int numi=1,numj=1;
    for(int i = 1 ; i <= m;i++){
        for(int j = n;j >= 1;j--){
            temp[numi][numj] = a[j][i];
            numj++;
        }
        numj=1;
        numi++;
    }
    swap(n,m);
    for(int i = 1;i<=n;i++){
        for(int j = 1;j<=m;j++)
            a[i][j] = temp[i][j];
    }
}

bool check(int val){
    for(int i = 1;i <= n;i++){
        pos[i] = m + 1;
        for(int j = 1;j <= m;j++){
            if(a[i][j] > mn + val){pos[i] = j; break;}
        }
    }
    for(int i = 1;i <= n;i++){
        mini[i][m+1] = inf;
        maxi[i][m+1] = 1;
        for(int j = m;j >= 1;j--){
            mini[i][j] = min(a[i][j],mini[i][j+1]);
            maxi[i][j] = max(a[i][j],maxi[i][j+1]);
        }
        mini[i][0] = mini[i][1]; maxi[i][0] = maxi[i][1];
    }
    int curMin = inf,curMax = 1,cur = m;
    for(int i = 1;i <= n;i++){
        cur = min(cur,pos[i] - 1);
        curMin = min(curMin,mini[i][cur+1]);
        curMax = max(curMax,maxi[i][cur+1]);
    }
    if(curMax - curMin<=val)
        return 1;
    else
        return 0;
}

void solve(){
    int l = 0,r = inf - 1,mid;
    while(l<r){
        mid = (l+r)/2;
        if(check(mid)) r = mid;
        else l = mid+1;
    }
    ans = min(ans,l);
}

int main(){
    cin.tie(0),ios::sync_with_stdio(0);
    cin >> n >> m;
    for(int i = 1;i <= n;i++){
        for(int j = 1;j <= m;j++){
            cin >> a[i][j];
            mn = min(mn,a[i][j]);
        }
    }
    solve();
    for(int i = 1;i <= 3;i++){
        _rotate();
        solve();
    }
    cout << ans;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 568 KB Output is correct
3 Correct 2 ms 568 KB Output is correct
4 Correct 2 ms 716 KB Output is correct
5 Correct 3 ms 716 KB Output is correct
6 Correct 3 ms 780 KB Output is correct
7 Correct 3 ms 780 KB Output is correct
8 Correct 2 ms 780 KB Output is correct
9 Correct 2 ms 780 KB Output is correct
10 Correct 3 ms 780 KB Output is correct
11 Correct 3 ms 780 KB Output is correct
12 Correct 2 ms 780 KB Output is correct
13 Correct 3 ms 808 KB Output is correct
14 Correct 2 ms 808 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 568 KB Output is correct
3 Correct 2 ms 568 KB Output is correct
4 Correct 2 ms 716 KB Output is correct
5 Correct 3 ms 716 KB Output is correct
6 Correct 3 ms 780 KB Output is correct
7 Correct 3 ms 780 KB Output is correct
8 Correct 2 ms 780 KB Output is correct
9 Correct 2 ms 780 KB Output is correct
10 Correct 3 ms 780 KB Output is correct
11 Correct 3 ms 780 KB Output is correct
12 Correct 2 ms 780 KB Output is correct
13 Correct 3 ms 808 KB Output is correct
14 Correct 2 ms 808 KB Output is correct
15 Correct 6 ms 3768 KB Output is correct
16 Correct 23 ms 4508 KB Output is correct
17 Correct 25 ms 4508 KB Output is correct
18 Correct 26 ms 4508 KB Output is correct
19 Correct 25 ms 4508 KB Output is correct
20 Correct 24 ms 4508 KB Output is correct
21 Correct 27 ms 4516 KB Output is correct
22 Correct 25 ms 4516 KB Output is correct
23 Correct 25 ms 4516 KB Output is correct
24 Correct 28 ms 4516 KB Output is correct
25 Correct 36 ms 4516 KB Output is correct
26 Correct 26 ms 4516 KB Output is correct
27 Correct 24 ms 4516 KB Output is correct
28 Correct 25 ms 4516 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 3 ms 568 KB Output is correct
3 Correct 2 ms 568 KB Output is correct
4 Correct 2 ms 716 KB Output is correct
5 Correct 3 ms 716 KB Output is correct
6 Correct 3 ms 780 KB Output is correct
7 Correct 3 ms 780 KB Output is correct
8 Correct 2 ms 780 KB Output is correct
9 Correct 2 ms 780 KB Output is correct
10 Correct 3 ms 780 KB Output is correct
11 Correct 3 ms 780 KB Output is correct
12 Correct 2 ms 780 KB Output is correct
13 Correct 3 ms 808 KB Output is correct
14 Correct 2 ms 808 KB Output is correct
15 Correct 6 ms 3768 KB Output is correct
16 Correct 23 ms 4508 KB Output is correct
17 Correct 25 ms 4508 KB Output is correct
18 Correct 26 ms 4508 KB Output is correct
19 Correct 25 ms 4508 KB Output is correct
20 Correct 24 ms 4508 KB Output is correct
21 Correct 27 ms 4516 KB Output is correct
22 Correct 25 ms 4516 KB Output is correct
23 Correct 25 ms 4516 KB Output is correct
24 Correct 28 ms 4516 KB Output is correct
25 Correct 36 ms 4516 KB Output is correct
26 Correct 26 ms 4516 KB Output is correct
27 Correct 24 ms 4516 KB Output is correct
28 Correct 25 ms 4516 KB Output is correct
29 Correct 2280 ms 63532 KB Output is correct
30 Correct 2378 ms 63532 KB Output is correct
31 Correct 2500 ms 63556 KB Output is correct
32 Correct 2685 ms 63556 KB Output is correct
33 Correct 2144 ms 63556 KB Output is correct
34 Correct 2416 ms 63580 KB Output is correct
35 Correct 2452 ms 63612 KB Output is correct
36 Correct 2192 ms 63612 KB Output is correct
37 Correct 2504 ms 63612 KB Output is correct