#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[51][51], pr[51][51], dp[51][51][51][51];
int calcRect(int x1,int y1,int x2,int y2){
return pr[x2][y2] - pr[x2][y1-1] - pr[x1-1][y2] + pr[x1-1][y1-1];
}
int main(){_
int n,m;cin>>n>>m;
for(int i=1;i<=n;++i)
for(int j=1;j<=m;++j)
cin>>grid[i][j];
for(int i=1;i<=n;++i)
for(int j=1;j<=m;++j)
pr[i][j] = pr[i-1][j] + pr[i][j-1] - pr[i-1][j-1] + grid[i][j];
for(int x1=n;x1>=1;--x1){
for(int y1=m;y1>=1;--y1){
for(int x2=x1;x2<=n;++x2){
for(int y2=y1;y2<=m;++y2){
if(x1==x2&&y1==y2)dp[x1][y1][x2][y2] = 0;
else{
dp[x1][y1][x2][y2] = calcRect(x1,y1,x2,y2);
int best = inf;
for(int k=x1;k<x2;++k)ckmin(best,dp[x1][y1][k][y2]+dp[k+1][y1][x2][y2]);
for(int k=y1;k<y2;++k)ckmin(best,dp[x1][y1][x2][k]+dp[x1][k+1][x2][y2]);
dp[x1][y1][x2][y2] += best;
}
}
}
}
}
cout<<dp[1][1][n][m]<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
852 KB |
Output is correct |
7 |
Correct |
1 ms |
904 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
4 ms |
3668 KB |
Output is correct |
10 |
Correct |
6 ms |
4308 KB |
Output is correct |
11 |
Correct |
4 ms |
3796 KB |
Output is correct |
12 |
Correct |
18 ms |
7380 KB |
Output is correct |
13 |
Correct |
21 ms |
9392 KB |
Output is correct |
14 |
Correct |
6 ms |
4692 KB |
Output is correct |
15 |
Correct |
26 ms |
10416 KB |
Output is correct |
16 |
Correct |
3 ms |
3540 KB |
Output is correct |
17 |
Correct |
11 ms |
7228 KB |
Output is correct |
18 |
Correct |
86 ms |
16036 KB |
Output is correct |
19 |
Correct |
132 ms |
19512 KB |
Output is correct |
20 |
Correct |
150 ms |
20972 KB |
Output is correct |