# | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
399804 | 2021-05-06T16:35:52 Z | lukameladze | The Kingdom of JOIOI (JOI17_joioi) | C++14 | 0 ms | 0 KB |
# include <bits/stdc++.h> #define f first #define s second #define pb push_back using namespace std; const int N=2005; long long n,m,mn,mx,a[N][N],i1,j1,i2,j2,le,ri,mid,prmx[N][N],prmn[N][N],sfmn[N][N],sfmx[N][N]; long long mn1,mx1,mxx,mnn,l,r,mi,anss,anss1,idx,ww,j,ans; void rotate() { for(int i=1;i<=n/2;i++){ for(int j=1;j<=m;j++){ swap(a[i][j],a[n-i+1][j]); } } for (int i=1; i<=n; i++) { for (int j=1; j<=m; j++) { prmn[0][j]=1e9; prmx[0][j]=-1e9; prmn[i][j]=min(a[i][j],prmn[i-1][j]); prmx[i][j]=max(a[i][j],prmx[i-1][j]); if (mn>a[i][j]) { i1=i; j1=j; mn=min(mn,a[i][j]); } if (mx<a[i][j]) { i2=i; j2=j; mx=max(mx,a[i][j]); } } } for (int i=n; i>=1; i--) { for (int j=1; j<=m; j++) { sfmn[n+1][j]=1e9; sfmx[n+1][j]=-1e9; sfmn[i][j]=min(a[i][j],sfmn[i+1][j]); sfmx[i][j]=max(a[i][j],sfmx[i+1][j]); } } } int check(int mid) { /* l=1; r=m; while (l<=r) { mi=(l+r)/2; if (prmx[mi]<=mid+mn){ anss=mi; l=mi+1; } else { r=mi-1; } } l=1; r=m; while (l<=r) { mi=(l+r)/2; //cout<<mi<<" "<<sfmn[mi]<<endl; if (sfmn[mi]>=mx-mid){ anss1=mi; r=mi-1; } else { l=mi+1; } } cout<<anss1<<endl; if (anss>=anss1) return 1; if (anss<anss1-1) return 0; idx=n+1;ww=0; for (int i=1; i<=n; i++) { j=anss+1; if(a[i][j]>mn+mid) { idx=i; break; } } for (int i=n; i>=idx; i--) { if (a[i][j]<mx-mid) { ww=1; } } if (!ww) return 1; ww=0; idx=0; for (int i=n; i>=1; i--) { j=anss+1; if(a[i][j]>mn+mid) { idx=i; break; } } for (int i=1; i<=idx; i++) { if (a[i][j]<mx-mid) { ww=1; } } if (!ww) return 1; return 0; */ for (int j=1; j<=m; j++) { for (int i=1; i<=n; i++) { if (prmx[i][j]>mn+mid) { if (sfmn[i][j]<mx-mid) { return 0; } } } } return 1; } int main() { cin>>n>>m; mn=1e9; mx=-1e9; for (int i=1; i<=n; i++) { for (int j=1; j<=m; j++) { prmn[0][j]=1e9; prmx[0][j]=-1e9; cin>>a[i][j]; prmn[i][j]=min(a[i][j],prmn[i-1][j]); prmx[i][j]=max(a[i][j],prmx[i-1][j]); if (mn>a[i][j]) { i1=i; j1=j; mn=min(mn,a[i][j]); } if (mx<a[i][j]) { i2=i; j2=j; mx=max(mx,a[i][j]); } } } for (int i=n; i>=1; i--) { for (int j=1; j<=m; j++) { sfmn[n+1][j]=1e9; sfmx[n+1][j]=-1e9; sfmn[i][j]=min(a[i][j],sfmn[i+1][j]); sfmx[i][j]=max(a[i][j],sfmx[i+1][j]); } } ans=mx-mn; le=1; ri=mx-mn; while (le<=ri) { mid=(le+ri)/2; if (check(mid)) { ri=mid-1; ans=min(ans,mid); } else { le=mid+1; } } rotate(); le=1; ri=mx-mn; while (le<=ri) { mid=(le+ri)/2; if (check(mid)) { ri=mid-1; ans=min(ans,mid); } else { le=mid+1; } } cout<<ans<<endl; }