oj.uz

Submission #669726

# Submission time Handle Problem Language Result Execution time Memory
669726 2022-12-07T07:17:32 Z Darren0724 The Kingdom of JOIOI (JOI17_joioi) C++17
100 / 100
 486 ms 196536 KB 
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define all(x) x.begin(),x.end()
#define x first
#define y second
const int INF=1e9;
int n,m;
vector<vector<int>> v;
vector<vector<int>> premin,premax;
vector<vector<int>> sufmin,sufmax;
bool check1(int r,int l){
    vector<int> a(n+1),b(n+1),a1(n+1),b1(n+1);
    for(int i=1;i<=n;i++){
        a[i]=upper_bound(all(premax[i]),r)-premax[i].begin()-1;
    }
    for(int i=1;i<=n;i++){
        b[i]=lower_bound(all(sufmin[i]),l)-sufmin[i].begin();
    }
    a1=a;
    b1=b;
    for(int i=2;i<=n;i++){
        a[i]=min(a[i],a[i-1]);
    }
    for(int i=n-1;i>0;i--){
        b[i]=max(b[i],b[i+1]);
    }

    bool flag=1;
    for(int i=1;i<=n;i++){
        if(b[i]-a[i]>1){
            flag=0;
        }
    }
    if(flag==1){
        return 1;
    }
    flag=1;
    a=a1,b=b1;
    for(int i=n-1;i>0;i--){
        a[i]=min(a[i],a[i+1]);
    }
    for(int i=2;i<=n;i++){
        b[i]=max(b[i],b[i-1]);
    }
    for(int i=1;i<=n;i++){
        if(b[i]-a[i]>1){
            flag=0;
        }
    }
    return flag;
}
bool check2(int l,int r){
    vector<int> a(n+1),b(n+1),a1(n+1),b1(n+1);
    for(int i=1;i<=n;i++){
        a[i]=upper_bound(all(premin[i]),l,greater<int>())-premin[i].begin()-1;
    }
    for(int i=1;i<=n;i++){
        b[i]=lower_bound(all(sufmax[i]),r,greater<int>())-sufmax[i].begin();
    }
    a1=a,b1=b;
    for(int i=2;i<=n;i++){
        a[i]=min(a[i],a[i-1]);
    }
    for(int i=n-1;i>0;i--){
        b[i]=max(b[i],b[i+1]);
    }
    bool flag=1;
    for(int i=1;i<=n;i++){
        if(b[i]-a[i]>1){
            flag=0;
        }
    }
    if(flag==1){
        return 1;
    }
    flag=1;
    a=a1,b=b1;
    for(int i=n-1;i>0;i--){
        a[i]=min(a[i],a[i+1]);
    }
    for(int i=2;i<=n;i++){
        b[i]=max(b[i],b[i-1]);
    }
    for(int i=1;i<=n;i++){
        if(b[i]-a[i]>1){
            flag=0;
        }
    }
    return flag;
}
signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin>>n>>m;
    v.resize(n+2,vector<int>(m+2));
    premin.resize(n+2,vector<int>(m+2,INF));
    premax.resize(n+2,vector<int>(m+2));
    sufmin.resize(n+2,vector<int>(m+2,INF));
    sufmax.resize(n+2,vector<int>(m+2));
    int mx=-INF,mn=INF;
    for(int i=1;i<=n;i++){
        for(int j=1;j<=m;j++){
            cin>>v[i][j];
            premax[i][j]=max(premax[i][j-1],v[i][j]);
            premin[i][j]=min(premin[i][j-1],v[i][j]);
            mn=min(mn,v[i][j]);
            mx=max(mx,v[i][j]);
        }
        premin[i][m+1]=-INF;
        premax[i][m+1]=INF;
    }
    for(int i=1;i<=n;i++){
        for(int j=m;j>=1;j--){
            sufmin[i][j]=min(sufmin[i][j+1],v[i][j]);
            sufmax[i][j]=max(sufmax[i][j+1],v[i][j]);
        }
        sufmin[i][0]=-INF;
        sufmax[i][0]=INF;
        sufmin[i][m+1]=INF;
        sufmax[i][m+1]=-INF;
    }
    int ans=INF;
    int l=-1,r=mx-mn+1;
    while(r-l>1){
        int m=(l+r)>>1;
        if(check1(mn+m,mx-m)){
            r=m;
        }
        else{
            l=m;
        }
    }
    ans=min(ans,r);
    l=-1,r=mx-mn+1;
    while(r-l>1){
        int m=(l+r)>>1;
        if(check2(mx-m,mn+m)==1){
            r=m;
        }
        else{
            l=m;
        }
    }
    ans=min(ans,r);
    cout<<ans<<endl;

    return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 320 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 316 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 320 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 316 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 4 ms 1864 KB Output is correct
17 Correct 5 ms 2132 KB Output is correct
18 Correct 5 ms 2132 KB Output is correct
19 Correct 5 ms 2132 KB Output is correct
20 Correct 5 ms 2008 KB Output is correct
21 Correct 6 ms 2380 KB Output is correct
22 Correct 6 ms 2260 KB Output is correct
23 Correct 7 ms 2328 KB Output is correct
24 Correct 6 ms 2004 KB Output is correct
25 Correct 6 ms 2256 KB Output is correct
26 Correct 7 ms 2320 KB Output is correct
27 Correct 6 ms 2348 KB Output is correct
28 Correct 6 ms 2324 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 320 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 316 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 4 ms 1864 KB Output is correct
17 Correct 5 ms 2132 KB Output is correct
18 Correct 5 ms 2132 KB Output is correct
19 Correct 5 ms 2132 KB Output is correct
20 Correct 5 ms 2008 KB Output is correct
21 Correct 6 ms 2380 KB Output is correct
22 Correct 6 ms 2260 KB Output is correct
23 Correct 7 ms 2328 KB Output is correct
24 Correct 6 ms 2004 KB Output is correct
25 Correct 6 ms 2256 KB Output is correct
26 Correct 7 ms 2320 KB Output is correct
27 Correct 6 ms 2348 KB Output is correct
28 Correct 6 ms 2324 KB Output is correct
29 Correct 355 ms 149964 KB Output is correct
30 Correct 342 ms 146792 KB Output is correct
31 Correct 372 ms 158028 KB Output is correct
32 Correct 388 ms 158348 KB Output is correct
33 Correct 321 ms 138188 KB Output is correct
34 Correct 368 ms 158300 KB Output is correct
35 Correct 485 ms 180992 KB Output is correct
36 Correct 425 ms 171164 KB Output is correct
37 Correct 486 ms 196536 KB Output is correct