Submission #1217116

#	Time	Username	Problem	Language	Result	Execution time	Memory
1217116		elotelo966	Split the sequence (APIO14_sequence)	C++20	71 / 100	66 ms	164420 KiB

sequence

#include <bits/stdc++.h>
using namespace std;

#define int long long
#define OYY LLONG_MAX
#define faster ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define fi first
#define se second
#define FOR for(int i=1;i<=n;i++)
#define mid (start+end)/2
#define pb push_back
#define lim 100005
//#define N 500050

typedef long long lo;

const int mod=1000000007;

int n,k;

int dizi[lim],pre[lim];

int dp[lim][2],yol[lim][205];

int q[lim];

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

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

int32_t main(){
	faster
	cin>>n>>k;
	
	FOR{
		cin>>dizi[i];
		pre[i]=pre[i-1]+dizi[i];
	}

	dp[0][0]=0; // 0.indeks 0.eleman alışım
	
	for(int i=1;i<=k;i++){
		int l=1,r=1;
		q[l]=0;
		for(int j=1;j<=n;j++){
			while(r-l>=1 && cont(q[l],q[l+1],j,0))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>=1 && cont2(q[r-1],q[r],j,0))r--;
			q[++r]=j;
		}
		//~ cout<<"begin"<<" "<<i<<endl;
		//~ for(int j=l;j<=r;j++)cout<<q[j]<<" ";
		//~ cout<<endl;
		
		for(int j=1;j<=n;j++){
			dp[j][0]=dp[j][1];
		}
	}
	
	//~ FOR{
		//~ for(int j=1;j<=k;j++){
			//~ cout<<dp[i][j]<<" ";
		//~ }
		//~ cout<<endl;
	//~ }
	
	int cev=LLONG_MIN,bas=0;
	
	FOR{
		if(cev<dp[i][0]){
			cev=dp[i][0];
			bas=i;
		}
	}
	
	vector<int> ans;
	
	for(int i=k;i>=1;i--){
		ans.pb(bas);
		bas=yol[bas][i];
	}
	
	cout<<cev<<'\n';
	
	reverse(ans.begin(),ans.end());
	
	for(auto a:ans){
		cout<<a<<" ";
	}
	
	cout<<'\n';
	
	return 0;
}

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