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- #include <iostream>
- #include <numeric>
- #include <algorithm>
- #include <set>
- #include <map>
- #include <queue>
- #include <cassert>
- #include <vector>
- #include <string>
- using namespace std;
- typedef long long ll;
- const int MAXN = 100;
- const int INF = 1000000000;
- char buf[MAXN+1];
- int a[MAXN][MAXN];
- int rowSum[MAXN][MAXN+1];
- int dp[2][MAXN+1][MAXN*MAXN+1];
- int minDp[MAXN+1][MAXN*MAXN+1];
- int main()
- {
- int n,m;
- scanf("%d%d",&n,&m);
- for(int i=0;i<n;i++)
- {
- scanf("%s", buf);
- for(int j=0;j<m;j++)
- a[i][j] = buf[j]-'0';
- }
- int total = 0;
- for(int i=0;i<n;i++)
- {
- rowSum[i][0]=0;
- for(int j=0;j<m;j++)
- rowSum[i][j+1] = rowSum[i][j] + a[i][j];
- total += rowSum[i][m];
- }
- int t=0;
- for(int i=0;i<=m;i++)
- for(int j=0;j<=total;j++)
- dp[t][i][j] = INF;
- dp[t][m][total] = 0;
- for(int k=n-1;k>=0;k--, t=1-t)
- {
- for(int i=0;i<=m;i++)
- for(int j=0;j<=total;j++)
- dp[1-t][i][j] = INF;
- for(int j=0;j<=total;j++)
- {
- minDp[m][j] = dp[t][m][j];
- for(int i=m-1;i>=0;i--)
- minDp[i][j] = min(minDp[i+1][j], dp[t][i][j]);
- }
- for(int j=0;j<=total;j++)
- {
- for(int i=0;i<=m && i+j<=total;i++)
- {
- // dp[1-t][i][j] = INF;
- // for(int c=i;c<=m;c++)
- // dp[1-t][i][j] = min(dp[1-t][i][j], dp[t][c][j+i] + rowSum[k][m-i]);
- dp[1-t][i][j] = min(INF, minDp[i][j+i] + rowSum[k][m-i]);
- }
- }
- }
- int res = INF;
- for(int i=0;i<=m;i++)
- res = min(res, dp[t][i][0]);
- printf("%d\n", res);
- return 0;
- }
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