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 <stdio.h>
int q[100010];
long long a[100010],D[210][10010];
int main(){
int i,j,n,k,f,r;
scanf("%d%d",&n,&k);
for(i=1;i<=n;++i)scanf("%lld",a+i),a[i]+=a[i-1],D[0][i]=-a[i]*a[i];
for(i=1;i<=k;++i){
q[f=r=1]=i;
for(j=i+1;j<=n;++j){
while(f<r&&a[q[f]]*a[j]+D[i-1][q[f]]<=a[q[f+1]]*a[j]+D[i-1][q[f+1]])++f;
D[i][j]=a[q[f]]*a[j]+D[i-1][q[f]]-a[j]*a[j];
while(f<r&&(D[i-1][q[r]]-D[i-1][q[r-1]])*(a[q[r-1]]-a[j])>(D[i-1][j]-D[i-1][q[r-1]])*(a[q[r-1]]-a[q[r]]))--r;
q[++r]=j;
}
}
printf("%lld",D[k][n]+a[n]*a[n]);
return 0;
}
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