Submission #333265

#TimeUsernameProblemLanguageResultExecution timeMemory
333265nandonathanielK blocks (IZhO14_blocks)C++14
100 / 100
192 ms40892 KiB
#include<bits/stdc++.h>
using namespace std;
const int MAXK=105,MAXN=100005;
int dp[MAXK][MAXN],a[MAXN];
typedef pair<int,int> pii;

//https://codeforces.com/blog/entry/18866

int main(){
	ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	int N,K;
	cin >> N >> K;
	for(int i=1;i<=N;i++)cin >> a[i];
	for(int i=1;i<=N;i++)dp[1][i]=max(dp[1][i-1],a[i]);
	for(int i=2;i<=K;i++){
		stack<pii> st;
		for(int j=i;j<=N;j++){
			int minDP=dp[i-1][j-1];
			while(!st.empty() && a[st.top().first]<=a[j]){
				minDP=min(minDP,st.top().second);
				st.pop();
			}
			int val=1e9;
			if(!st.empty())val=dp[i][st.top().first];
			dp[i][j]=min(val,minDP+a[j]);
			st.push({j,minDP});
		}
	}
	cout << dp[K][N] << '\n';
	return 0;
}
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