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Submission #239364

# Submission time Handle Problem Language Result Execution time Memory
239364 2020-06-15T12:45:12 Z DavidDamian Raisins (IOI09_raisins) C++11
100 / 100
 751 ms 30328 KB 
#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;
}

Subtask #1
100.0 / 100.0

# Verdict Execution time Memory 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