This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ll long long
#define sz(x) (int)(x).size()
using namespace std;
const int N = 2002;
int n,m,dp[N][N],C[N],ol[N][N],ct[N],l,r,t;
char s[N][N];
bitset<N> done[N];
vector<array<int,2>> d = {{0,-1},{0,1},{-1,0},{1,0}};
bool ok(int x, int y)
{
if (0<x&&0<y&&x<=n&&y<=m&&s[x][y]!='.'&&!done[x][y])
return 1;
return 0;
}
void dfs(int x, int y)
{
done[x][y]=1;
l=min(l,y);
r=max(r,y);
t+=(s[x][y]-'0');
for (auto i : d)
if (ok(x+i[0],y+i[1]))
dfs(x+i[0],y+i[1]);
}
void solve(int i, int l, int r, int optL, int optR)
{
if (l>r)
return;
int m=l+(r-l)/2,best=-1,k=-1;
for (int j=optL;j<=m;++j)
if (best<dp[i-1][j-1]+C[m]-ol[j-1][m])
{
best=dp[i-1][j-1]+C[m]-ol[j-1][m];
k=j;
}
dp[i][m]=best;
solve(i,l,m-1,optL,k);
solve(i,m+1,r,k,optR);
}
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
cin>>n>>m;
for (int i=1;i<=n;++i)
for (int j=1;j<=m;++j)
cin>>s[i][j];
for (int i=1;i<=n;++i)
for (int j=1;j<=m;++j)
if (ok(i,j))
{
t=0;
l=j;
r=j;
dfs(i,j);
ct[l]+=t;
ct[r+1]-=t;
for (int k=l;k<=r;++k)
ol[l][k]+=t;
}
for (int i=1;i<=m;++i)
{
ct[i]+=ct[i-1];
C[i]+=ct[i];
}
for (int j=1;j<=m;++j)
for (int i=1;i<=j;++i)
ol[i][j]+=ol[i-1][j];
// for (int i=1;i<=m;++i)
// for (int j=i;j<=m;++j)
// cout<<i<<" "<<j<<": "<<C[j]-ol[i-1][j]<<"\n";
// return 0;
for (int i=1;i<=m;++i)
{
solve(i,1,m,1,m);
for (int j=2;j<=m;++j)
dp[i][j]=max(dp[i][j-1],dp[i][j]);
cout<<dp[i][m]<<"\n";
}
return 0;
}
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