Submission #240883

#	Time	Username	Problem	Language	Result	Execution time	Memory
240883		kshitij_sodani	Split the sequence (APIO14_sequence)	C++17	100 / 100	1260 ms	82404 KiB

sequence

#include <bits/stdc++.h>
using namespace std;
typedef int64_t llo;
#define mp make_pair
#define pb push_back
#define a first 
#define b second
//#define endl '\n'
llo n,k;
llo dp[100001];
llo dp2[100001];
llo pre[100001];
llo it[100001];
int back[202][100001];
llo cur=0;
void find(llo l,llo r,llo aa,llo bb){
 
	llo mid=(l+r)/2;
	pair<llo,llo> best={-1,-1};
 
	for(llo i=aa;i<=min(bb,mid-1);i++){
	//	cout<<i<<"<"<<dp[i]<<","<<pre[mid]<<":"<<pre[i]<<endl;
		llo cost=dp[i]+(pre[mid]-pre[i])*(pre[i]);
		if(cost>best.a){
			best={cost,i};
		}
	}
	//cout<<mid<<","<<best.a<<","<<best.b<<","<<aa<<","<<bb<<endl;
	dp2[mid]=best.a;
	back[cur][mid]=best.b;
	if(l<mid){
		find(l,mid-1,aa,best.b);
	}
	if(mid<r){
		find(mid+1,r,best.b,bb);
	}
}
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cin>>n>>k;
	for(llo i=0;i<n;i++){
		cin>>it[i];
	}
	pre[0]=it[0];
	for(llo i=1;i<n;i++){
		pre[i]=pre[i-1]+it[i];
	}
 
	for(llo i=0;i<n;i++){
		dp[i]=0;
	}
 
	for(llo i=1;i<k+1;i++){
		cur+=1;
		find(i,n-1,i-1,n-1);
		for(llo j=0;j<n;j++){
			dp[j]=dp2[j];
		//	cout<<dp[j]<<" ";
		}
		//cout<<endl;
 
	}
	cout<<dp[n-1]<<endl;
	//vector<llo> ans;
	int la=n;
	for(llo i=k-1;i>=0;i--){
 
	//	ans.pb(back[i+1][ans.back()-1]+1);
		la=back[i+1][la-1]+1;
		cout<<la<<" ";
	}
/*
	for(llo j=k;j>0;j--){
 
		cout<<ans[j]<<" ";
	}*/
	cout<<endl;
 
	return 0;
}

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