Submission #331094

#TimeUsernameProblemLanguageResultExecution timeMemory
331094GurbanK blocks (IZhO14_blocks)C++17
100 / 100
223 ms81140 KiB
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

const int N = 1e2+5;
const int maxn=1e5+5;
int n,k,a[maxn];
ll dp[N][maxn];

int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);

	cin >> n >> k;
	for(int i = 1;i <= n;i++) cin >> a[i];
	for(int i = 0;i <= k;i++)
		for(int j = 0;j <= n;j++) dp[i][j] = 1e18;
	
	dp[1][1] = a[1];
	for(int i = 2;i <= n;i++) dp[1][i] = max(dp[1][i-1],1ll*a[i]);

	for(int i = 2;i <= k;i++){
		stack<pair<int,ll>>s;
		for(int j = i;j <= n;j++){
			ll jog = dp[i-1][j-1];
			while(!s.empty() and a[s.top().first] <= a[j]){
				jog = min(jog,s.top().second);
				s.pop();
			}
			ll tmp = 0;
			if(!s.empty()) tmp = s.top().first;
			dp[i][j] = min(dp[i][tmp],jog+a[j]);
			s.push({j,jog});
		}
	}
	// for(int i = 2;i <= n;i++){
	// 	cout<<dp[2][i]<<' ';
	// }
	cout<<dp[k][n];
}
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