Submission #1197370

#TimeUsernameProblemLanguageResultExecution timeMemory
1197370yoshi_33550336K blocks (IZhO14_blocks)C++20
100 / 100
360 ms82400 KiB
//https://oj.uz/submission/1186122
#include<bits/stdc++.h>
typedef long long ll;
#define pb push_back
#define fr first
#define sc second
#define endl '\n'
using namespace std;

const ll inf=1000000000000;

int n,k;
ll arr[100023];
int nex[100023];
ll dp[100023][101];

int main(){
	ios_base::sync_with_stdio(false);cin.tie(NULL);
	cin>>n>>k;
	for(int i=1;i<=n+1;i++){
		for(int j=0;j<=k;j++){
			dp[i][j]=inf;
		}
	}
	dp[1][0]=0;
	for(int i=1;i<=n;i++){
		cin>>arr[i];
	}
	arr[n+1]=inf;
	vector<int>sta={n+1};
	for(int i=n;i>=1;i--){
		while(arr[sta.back()]<=arr[i]){
			sta.pop_back();
		}
		nex[i]=sta.back();
		sta.pb(i);
	}
	for(int i=0;i<=k;i++){
		vector<pair<int,ll>>v;
		for(int j=1;j<=n+1;j++){
			if(v.size()){
				dp[j][i]=min(dp[j][i],v.back().sc);
			}
			while(v.size()&&arr[v.back().fr]<arr[j]){
				v.pop_back();
			}
			if(i){
				v.pb({j,dp[j][i-1]});
				if(v.size()>1){
					v.back().sc=min(v.back().sc,v[v.size()-2].sc);
				}
			}
			if(j==n+1)continue;
			if(nex[j]!=n+1){
				dp[nex[j]][i]=min(dp[nex[j]][i],dp[j][i]);
			}
			dp[j][i]+=arr[j];
		}
	}
	cout<<dp[n+1][k];
}
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