Submission #1217141

#	Time	Username	Problem	Language	Result	Execution time	Memory
1217141		elotelo966	Split the sequence (APIO14_sequence)	C++20	71 / 100	69 ms	161808 KiB

sequence

#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;

#define FOR for(int i=1;i<=n;i++)

const int lim=100002;

typedef long long lo;

int n,k;

lo dizi[lim],pre[lim];

lo dp[lim][2],yol[lim][202];

int q[lim];

inline bool cont(int x,int y,int cur){
	if(dp[y][0]-pre[y]*(pre[n]-pre[cur])>=dp[x][0]-pre[x]*(pre[n]-pre[cur]))return 1;
	return 0;
}

inline bool cont2(int x,int y,int cur){
	if((dp[y][0]-dp[x][0])*(pre[cur]-pre[y])<=(dp[cur][0]-dp[y][0])*(pre[y]-pre[x]))return 1;
	return 0;
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);cout.tie(NULL);
	cin>>n>>k;
	
	FOR{
		cin>>dizi[i];
		pre[i]=pre[i-1]+dizi[i];
	}
	
	int l,r;
	
	for(int i=1;i<=k;i++){
		l=1,r=1;
		q[l]=0;
		for(int j=1;j<=n;j++){
			while(r-l>0 && cont(q[l],q[l+1],j))l++;
			dp[j][1]=dp[q[l]][0]+(pre[j]-pre[q[l]])*(pre[n]-pre[j]);
			yol[j][i]=q[l];
			while(r-l>0 && cont2(q[r-1],q[r],j))r--;
			q[++r]=j;
		}
		
		for(int j=1;j<=n;j++){
			dp[j][0]=dp[j][1];
		}
	}
	
	lo cev=-5;
	int bas=0;
	
	for(int i=n-1;i>=1;i--){
		if(cev<dp[i][0]){
			cev=dp[i][0];
			bas=i;
		}
	}
	
	cout<<cev<<'\n';
		
	for(int i=k;i>=1;i--){
		cout<<bas<<" ";
		bas=yol[bas][i];
	}
	
	cout<<'\n';
}

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