Submission #976723

#	Time	Username	Problem	Language	Result	Execution time	Memory
976723		tamir1	Split the sequence (APIO14_sequence)	C++17	28 / 100	2070 ms	130940 KiB

sequence

#include<bits/stdc++.h>
#define ll long long
using namespace std;
ll n,k,i,j,l,a[100001],dp[201][100001],sum[100001],ans,dp2[201][100001],idx;
vector<ll> v;
int main(){
	ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin >> n >> k;
	for(i=1;i<=n;i++){
		cin >> a[i];
		sum[i]=sum[i-1]+a[i];
	}
	for(l=1;l<=k;l++){
		for(i=l;i<=n;i++){
			for(j=l-1;j<i;j++){
				ll x=dp[l-1][j]+(sum[n]-sum[i])*(sum[i]-sum[j]);
				if(x>=dp[l][i]){
					dp[l][i]=x;
					dp2[l][i]=j;
				}
			}
		}
	}
	for(i=k;i<=n;i++){
		if(dp[k][i]>=ans){
			ans=dp[k][i];
			idx=i;
		}
	}
	for(i=k;i>=1;i--){
		v.push_back(idx);
		idx=dp2[i][idx];
	}
	reverse(v.begin(),v.end());
	cout << ans << "\n";
	for(i=0;i<k;i++) cout << v[i] << " ";
}

• Subtask 1: 0 / 11
• Subtask 2: 11 / 11
• Subtask 3: 0 / 11
• Subtask 4: 17 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29