oj.uz

Submission #241280

# Submission time Handle Problem Language Result Execution time Memory
241280 2020-06-23T13:49:36 Z aggu_01000101 The Kingdom of JOIOI (JOI17_joioi) C++14
100 / 100
 1314 ms 180508 KB 
#include <bits/stdc++.h>
#define int long long
#define mid(l, u) ((l+u)/2)
#define lchild(i) (i*2 + 1)
#define rchild(i) (i*2 + 2)
#define INF 100000000000
using namespace std;
const int N = 2005;
int n, m;
int mat[N][N];
pair<int, int> pmm[N][N];
int ourmin, ourmax;
int ind[N];
int ans = 0;
int mini = INF, maxi = -INF;
set<int> el;
vector<int> dist;
void calcpmm(){
    for(int i =0 ;i<n;i++){
        pmm[i][m-1] = {mat[i][m-1], mat[i][m-1]};
        for(int j = m-2;j>=0;j--){
            pmm[i][j].first = min(mat[i][j], pmm[i][j+1].first);
            pmm[i][j].second = max(mat[i][j], pmm[i][j+1].second);
        }
    }
}
int findinrange(int l, int u){
    int theirmin = INF;
    int theirmax = -INF;
    ourmin = INF;
    ourmax = -INF;
    int prevj = m;
    for(int i =0 ;i<n;i++){
        int j = 0;
        for (; (j < prevj) && (mat[i][j] >= l) && (mat[i][j] <= u); j++) {
            ourmin = min(mat[i][j], ourmin);
            ourmax = max(ourmax, mat[i][j]);
        }
        prevj = j;
        if(j<m){
            theirmin = min(pmm[i][j].first, theirmin);
            theirmax = max(pmm[i][j].second, theirmax);
        }
    }
    if(ourmin > ourmax || theirmin > theirmax) return INF;
    return max(theirmax - theirmin, ourmax - ourmin);
}
int findans(){
    calcpmm();
    int tr = INF;
    int lo = 0;
    int hi = maxi - mini;
    while(lo<=hi){
        int mid = mid(lo, hi);
        int temp = findinrange(mini, mini + mid);
        int temp1 = findinrange(maxi - mid, maxi);
        int tocons = min(temp, temp1);
        //cout<<mid<<" "<<temp<<" "<<temp1<<" "<<mini<<" "<<maxi<<endl;
        if(tocons <= mid){
            tr = min(tr, tocons);
            hi = mid-1;
        }
        else lo = mid + 1;
    }
    return tr;
}
signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cin>>n>>m;
    int a[n][m];
    for(int i =0 ;i<n;i++){
        for(int j = 0;j<m;j++) {
            cin >> mat[i][j];
            maxi = max(maxi, mat[i][j]);
            mini = min(mini, mat[i][j]);
            a[i][j] = mat[i][j];
            dist.push_back(mat[i][j]);
        }
    }
    sort(dist.begin(), dist.end());
    ans = maxi - mini;
    ans = min(ans, findans());
    for(int i = 0;i<n;i++){
        for(int j = 0;j<m;j++) mat[i][j] = a[i][m-j-1];
    }
    //cout<<"INVERTED"<<endl;
    ans = min(ans, findans());
    /*for(int i = 0;i<n;i++){
        for(int j = 0;j<m;j++) mat[i][j] = a[n-i-1][m-j-1];
    }
    ans = min(ans, findans());
    for(int i = 0;i<n;i++){
        for(int j = 0;j<m;j++) mat[i][j] = a[n-i-1][j];
    }
    ans = min(ans, findans());*/
    cout<<ans<<endl;
}
/*

4 4
1 12 6 11
11 10 2 14
10 1 9 20
4 17 19 10


8 6
23 23 10 11 16 21
15 26 19 28 19 20
25 26 28 16 15 11
11 8 19 11 15 24
14 19 15 14 24 11
10 8 11 7 6 14
23 5 19 23 17 17
18 11 21 14 20 16
 */

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 512 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 512 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 512 KB Output is correct
16 Correct 12 ms 3580 KB Output is correct
17 Correct 15 ms 3708 KB Output is correct
18 Correct 16 ms 3708 KB Output is correct
19 Correct 15 ms 3628 KB Output is correct
20 Correct 14 ms 3324 KB Output is correct
21 Correct 18 ms 3708 KB Output is correct
22 Correct 18 ms 3580 KB Output is correct
23 Correct 16 ms 3708 KB Output is correct
24 Correct 17 ms 3324 KB Output is correct
25 Correct 17 ms 3708 KB Output is correct
26 Correct 17 ms 3708 KB Output is correct
27 Correct 18 ms 3708 KB Output is correct
28 Correct 18 ms 3708 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 512 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 512 KB Output is correct
16 Correct 12 ms 3580 KB Output is correct
17 Correct 15 ms 3708 KB Output is correct
18 Correct 16 ms 3708 KB Output is correct
19 Correct 15 ms 3628 KB Output is correct
20 Correct 14 ms 3324 KB Output is correct
21 Correct 18 ms 3708 KB Output is correct
22 Correct 18 ms 3580 KB Output is correct
23 Correct 16 ms 3708 KB Output is correct
24 Correct 17 ms 3324 KB Output is correct
25 Correct 17 ms 3708 KB Output is correct
26 Correct 17 ms 3708 KB Output is correct
27 Correct 18 ms 3708 KB Output is correct
28 Correct 18 ms 3708 KB Output is correct
29 Correct 908 ms 149516 KB Output is correct
30 Correct 899 ms 174116 KB Output is correct
31 Correct 959 ms 180124 KB Output is correct
32 Correct 953 ms 180380 KB Output is correct
33 Correct 812 ms 157988 KB Output is correct
34 Correct 957 ms 180508 KB Output is correct
35 Correct 1314 ms 173924 KB Output is correct
36 Correct 1121 ms 171932 KB Output is correct
37 Correct 1271 ms 173852 KB Output is correct