#include <bits/stdc++.h>
using namespace std;
int n,m;
///Dynamic Programming
///Top-Down
///Determine the minimum number of raisins needed to pay (sums)
int A[55][55];
int sum[55][55];
int memo[55][55][55][55];
int getSum(int i,int j,int a,int b)
{
int total=sum[j][b]-sum[j][a-1]-sum[i-1][b]+sum[i-1][a-1];
return total;
}
int MinCost(int i,int j,int a,int b)
{
if(i==j && a==b)
return 0;
if(memo[i][j][a][b]==-1){
int minimum=INT_MAX;
for(int i_nxt=i;i_nxt<j;i_nxt++){
minimum=min(minimum,MinCost(i,i_nxt,a,b)
+MinCost(i_nxt+1,j,a,b)
+getSum(i,j,a,b));
}
for(int a_nxt=a;a_nxt<b;a_nxt++){
minimum=min(minimum,MinCost(i,j,a,a_nxt)
+MinCost(i,j,a_nxt+1,b)
+getSum(i,j,a,b));
}
memo[i][j][a][b]=minimum;
}
return memo[i][j][a][b];
}
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<=n;j++){
for(int a=1;a<=m;a++){
for(int b=1;b<=m;b++){
memo[i][j][a][b]=-1;
}
}
}
}
for(int i=1;i<=n;i++){
for(int j=1;j<=m;j++){
cin>>A[i][j];
sum[i][j]=sum[i-1][j]+sum[i][j-1]-sum[i-1][j-1]+A[i][j];
}
}
int total=MinCost(1,n,1,m);
cout<<total<<'\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
512 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
640 KB |
Output is correct |
6 |
Correct |
6 ms |
1024 KB |
Output is correct |
7 |
Correct |
6 ms |
1664 KB |
Output is correct |
8 |
Correct |
14 ms |
3200 KB |
Output is correct |
9 |
Correct |
22 ms |
5376 KB |
Output is correct |
10 |
Correct |
30 ms |
6272 KB |
Output is correct |
11 |
Correct |
25 ms |
4480 KB |
Output is correct |
12 |
Correct |
95 ms |
11264 KB |
Output is correct |
13 |
Correct |
141 ms |
14456 KB |
Output is correct |
14 |
Correct |
37 ms |
5376 KB |
Output is correct |
15 |
Correct |
165 ms |
16384 KB |
Output is correct |
16 |
Correct |
21 ms |
9856 KB |
Output is correct |
17 |
Correct |
71 ms |
15232 KB |
Output is correct |
18 |
Correct |
430 ms |
26624 KB |
Output is correct |
19 |
Correct |
663 ms |
27896 KB |
Output is correct |
20 |
Correct |
751 ms |
30328 KB |
Output is correct |