#include<bits/stdc++.h>
#define ll long long
#define ldb long double
#define fi first
#define se second
#define sza(a) (int)a.size()
#define pir pair<int,int>
#define pirll pair<ll,ll>
using namespace std;
const int maxn = 55;
int a[maxn][maxn],pre[maxn][maxn];
void input(int n,int m){
for (int i = 1 ; i <= n ; i++)
for (int j = 1 ; j <= m ; j++) cin >> a[i][j];
}
void prepare(int n,int m){
for (int i = 1 ; i <= n ; i++)
for (int j = 1 ; j <= m ; j++)
pre[i][j] = a[i][j] + pre[i - 1][j] + pre[i][j - 1] - pre[i - 1][j - 1];
}
int sum(int x1,int y1,int x2,int y2){
int ans = pre[x2][y2] - pre[x1 - 1][y2] - pre[x2][y1 - 1] + pre[x1 - 1][y1 - 1];
return ans;
}
ll dp[maxn][maxn][maxn][maxn];
void perform(int lx,int ly,int n,int m){
if (lx == 1 && ly == 1) return;
for (int x1 = 1 ; x1 <= n - lx + 1 ; x1++)
for (int y1 = 1 ; y1 <= m - ly + 1 ; y1++){
int x2 = x1 + lx - 1,y2 = y1 + ly - 1;
ll T = INT_MAX;
for (int i = x1 ; i < x2 ; i++)
T = min(T,dp[x1][y1][i][y2] + dp[i + 1][y1][x2][y2]);
for (int i = y1 ; i < y2 ; i++)
T = min(T,dp[x1][y1][x2][i] + dp[x1][i + 1][x2][y2]);
dp[x1][y1][x2][y2] = T + sum(x1,y1,x2,y2);
}
}
ll solve(int n,int m){
for (int lx = 1 ; lx <= n ; lx++)
for (int ly = 1 ; ly <= m ; ly++)
perform(lx,ly,n,m);
return dp[1][1][n][m];
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
int n,m;
cin >> n >> m;
input(n,m);
prepare(n,m);
cout << solve(n,m);
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
460 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
600 KB |
Output is correct |
6 |
Correct |
1 ms |
1116 KB |
Output is correct |
7 |
Correct |
1 ms |
1116 KB |
Output is correct |
8 |
Correct |
3 ms |
3676 KB |
Output is correct |
9 |
Correct |
5 ms |
5212 KB |
Output is correct |
10 |
Correct |
6 ms |
6232 KB |
Output is correct |
11 |
Correct |
6 ms |
5208 KB |
Output is correct |
12 |
Correct |
18 ms |
11100 KB |
Output is correct |
13 |
Correct |
28 ms |
14388 KB |
Output is correct |
14 |
Correct |
9 ms |
6492 KB |
Output is correct |
15 |
Correct |
36 ms |
16212 KB |
Output is correct |
16 |
Correct |
4 ms |
5972 KB |
Output is correct |
17 |
Correct |
16 ms |
11816 KB |
Output is correct |
18 |
Correct |
84 ms |
27352 KB |
Output is correct |
19 |
Correct |
140 ms |
34032 KB |
Output is correct |
20 |
Correct |
197 ms |
37200 KB |
Output is correct |