Submission #530590

# Submission time Handle Problem Language Result Execution time Memory
530590 2022-02-25T23:25:52 Z perchuts The Kingdom of JOIOI (JOI17_joioi) C++17
100 / 100
956 ms 86204 KB
#include <bits/stdc++.h>
#define maxn (int)(1e5+51)
#define all(x) x.begin(), x.end()
#define sz(x) (int) x.size()
#define endl '\n'
#define ll long long
#define pb push_back
#define ull unsigned long long
#define ii pair<int,int>
#define iii tuple<int,int,int>
#define inf 2000000001
#define mod 1000000007 //998244353
#define _ ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);

using namespace std;

template<typename X, typename Y> bool ckmin(X& x, const Y& y) { return (y < x) ? (x=y,1):0; }
template<typename X, typename Y> bool ckmax(X& x, const Y& y) { return (x < y) ? (x=y,1):0; }

int grid[2001][2001],n,m,okA[2001][2001],okB[2001][2001],mxA[2001],mxB[2001],mnA[2001],mnB[2001];
int mx = 0,mn = inf;

bool possible(int x){
    for(int i=1;i<=n;++i)
        for(int j=1;j<=m;++j)
            okA[i][j] = grid[i][j] - mn <= x, okB[i][j] = mx - grid[i][j] <= x;

    for(int i=1;i<=n;++i)mxA[i] = mxB[i] = 0, mnA[i] = mnB[i] = inf;

    for(int i=1;i<=n;++i){
        for(int j=1;j<=m;++j){
            if(!okA[i][j]&&!okB[i][j])return false;
            if(!okA[i][j]&&okB[i][j])ckmax(mxB[i],j), ckmin(mnB[i],j);
            if(okA[i][j]&&!okB[i][j])ckmax(mxA[i],j), ckmin(mnA[i],j);
        }
    }
    bool ok1 = 1, ok2 = 1;//ok1: A cresce, ok2: B cresce
    int mxxA=0, mxxB=0;
    for(int i=1;i<=n;++i){
        if(mnB[i]<mxA[i])ok1 = 0;
        if(mnA[i]<mxB[i])ok2 = 0;
        if(mnB[i]<=mxxA)ok1 = 0;
        if(mnA[i]<=mxxB)ok2 = 0;
        ckmax(mxxA,mxA[i]);
        ckmax(mxxB,mxB[i]);
    }
    if(ok1+ok2)return true;
    ok1 = ok2 = 1, mxxA = mxxB = m+1;
    for(int i=1;i<=n;++i){
        if(mnB[i]<mxA[i])ok1 = 0;
        if(mnA[i]<mxB[i])ok2 = 0;
        if(mxA[i]>mxxA)ok1 = 0;
        if(mxB[i]>mxxB)ok2 = 0;
        ckmin(mxxA,mnB[i]-1);
        ckmin(mxxB,mnA[i]-1);
    }
    return ok1+ok2;
}

int main(){_
    cin>>n>>m;
    for(int i=1;i<=n;++i){
        for(int j=1;j<=m;++j){
            cin>>grid[i][j];     
            ckmax(mx,grid[i][j]);
            ckmin(mn,grid[i][j]);
        }
    }
    int l = 0, r = mx - mn, ans = r;
    while(l<=r){
        int md = l + (r-l+1)/2;
        if(possible(md))ans = md, r = md - 1;
        else l = md + 1;
    }
    cout<<ans<<endl;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 332 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 460 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 0 ms 460 KB Output is correct
11 Correct 0 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 0 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 332 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 460 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 0 ms 460 KB Output is correct
11 Correct 0 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 0 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 3 ms 3148 KB Output is correct
17 Correct 7 ms 3164 KB Output is correct
18 Correct 7 ms 3148 KB Output is correct
19 Correct 8 ms 3104 KB Output is correct
20 Correct 10 ms 3020 KB Output is correct
21 Correct 8 ms 3472 KB Output is correct
22 Correct 8 ms 3516 KB Output is correct
23 Correct 11 ms 3532 KB Output is correct
24 Correct 7 ms 3148 KB Output is correct
25 Correct 17 ms 3592 KB Output is correct
26 Correct 9 ms 3524 KB Output is correct
27 Correct 8 ms 3496 KB Output is correct
28 Correct 9 ms 3524 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 332 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 460 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 0 ms 460 KB Output is correct
11 Correct 0 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 0 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 3 ms 3148 KB Output is correct
17 Correct 7 ms 3164 KB Output is correct
18 Correct 7 ms 3148 KB Output is correct
19 Correct 8 ms 3104 KB Output is correct
20 Correct 10 ms 3020 KB Output is correct
21 Correct 8 ms 3472 KB Output is correct
22 Correct 8 ms 3516 KB Output is correct
23 Correct 11 ms 3532 KB Output is correct
24 Correct 7 ms 3148 KB Output is correct
25 Correct 17 ms 3592 KB Output is correct
26 Correct 9 ms 3524 KB Output is correct
27 Correct 8 ms 3496 KB Output is correct
28 Correct 9 ms 3524 KB Output is correct
29 Correct 507 ms 67088 KB Output is correct
30 Correct 559 ms 68852 KB Output is correct
31 Correct 692 ms 70444 KB Output is correct
32 Correct 554 ms 70436 KB Output is correct
33 Correct 354 ms 61636 KB Output is correct
34 Correct 621 ms 70580 KB Output is correct
35 Correct 708 ms 86076 KB Output is correct
36 Correct 584 ms 80768 KB Output is correct
37 Correct 956 ms 86204 KB Output is correct