Submission #393360

#TimeUsernameProblemLanguageResultExecution timeMemory
393360vanicK blocks (IZhO14_blocks)C++14
100 / 100
225 ms90812 KiB
#include <iostream>
#include <cmath>
#include <algorithm>
#include <vector>
#include <cstdio>

using namespace std;

const int maxk=105, maxn=1e5+5;
const int inf=1e9;

vector < pair < int, int > > v[maxk]; 
vector < int > valu[maxk];
int dp[maxn][maxk];
int a[maxn];

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	int n, k;
	cin >> n >> k;
	for(int i=0; i<n; i++){
		cin >> a[i];
	}
	int sum=0;
	for(int i=0; i<k; i++){
		v[i].push_back({sum, a[i]});
		valu[i].push_back(sum+a[i]);
		sum+=a[i];
		dp[i][i]=sum;
	}
	int maksi=0;
	for(int i=0; i<n; i++){
		maksi=max(maksi, a[i]);
		dp[i][0]=maksi;
	}
	int mindp;
	int val;
	for(int i=0; i<n; i++){
		for(int j=1; j<min(k, i); j++){
			mindp=dp[i-1][j-1];
			val=a[i];
			while(!v[j].empty() && v[j].back().second<=val){
				mindp=min(mindp, v[j].back().first);
				v[j].pop_back();
				valu[j].pop_back();
			}
			if(!valu[j].empty()){
				valu[j].push_back(min(valu[j].back(), val+mindp));
			}
			else{
				valu[j].push_back(val+mindp);
			}
			dp[i][j]=valu[j].back();
			v[j].push_back({mindp, val});
		}
	}
/*	for(int i=0; i<k; i++){
		for(int j=0; j<n; j++){
			cout << dp[j][i] << ' ';
		}
		cout << '\n';
	}*/
	cout << dp[n-1][k-1] << '\n';
	return 0;
}
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