# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
135190 | pedro_sponchiado | Split the sequence (APIO14_sequence) | C++17 | 14 ms | 8952 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
const long long int INF=1000000000000000;
const int maxn=1010;
const int maxk=210;
int n, d;
int a[maxn];
long long int parc[maxn], parc_2[maxn];
long long int S_2[maxn][maxn];
//long long int S_2(int i, int j){
long long int dp[maxn][maxk];
int main(){
scanf("%d %d", &n, &d);
for(int i=1; i<=n; i++){
scanf("%d", &a[i]);
parc[i]=parc[i-1]+a[i];
parc_2[i]=parc_2[i-1]+a[i]*a[i];
}
for(int i=1; i<=n; i++){
for(int k=i; k<=n; k++){
S_2[i][k]= (parc[k]-parc[i-1])*(parc[k]-parc[i-1])-parc_2[k]+parc_2[i-1];
}
}
for(int i=1; i<=n; i++) dp[i][0]=S_2[1][i];
for(int k=1; k<=d; k++){
for(int i=1; i<=n; i++){
dp[i][k]=INF;
if(k>=i)continue;
for(int l=1; l<i; l++){
dp[i][k]=min(dp[i][k], dp[l][k-1]+S_2[l+1][i]);
}
// printf("dp[%d][%d]=%lld\n", i, k, dp[i][k]);
}
}
printf("%lld/2", S_2[1][n]-dp[n][d]);
return 0;
}
Compilation message (stderr)
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