제출 #646294

#제출 시각아이디문제언어결과실행 시간메모리
646294ymmK개의 묶음 (IZhO14_blocks)C++17
53 / 100
1033 ms252564 KiB
#include <bits/stdc++.h>
#define Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;

const int N = 100'032;
const int K = 110;
const ll inf = 1e15;
ll dp[K][N];
ll a[N];
int n;

ll seg[K][2*N];
ll get(int k, int l, int r)
{
	l += N; r += N;
	ll ans = inf;
	while (l < r) {
		if (l&1) ans = min(ans, seg[k][l++]);
		if (r&1) ans = min(ans, seg[k][--r]);
		l /= 2; r /= 2;
	}
	return ans;
}
void up(int k, int i, ll x)
{
	i += N;
	while (i) {
		seg[k][i] = min(seg[k][i], x);
		i /= 2;
	}
}

int main()
{
	cin.tie(0) -> sync_with_stdio(false);
	int k;
	cin >> n >> k;
	Loop (i,0,n)
		cin >> a[i];
	memset(seg, 32 /* inf */, sizeof(seg));
	dp[1][0] = a[0];
	up(1, 0, dp[1][0]);
	Loop (i,2,k+1)
		dp[i][0] = inf;
	vector<int> vec;
	vec.push_back(0);
	Loop (i,1,n) {
		while (vec.size() && a[vec.back()] < a[i])
			vec.pop_back();
		dp[1][i] = max(a[i], dp[1][i-1]);
		up(1, i, dp[1][i]);
		Loop (j,2,k+1) {
			dp[j][i] = get(j-1, vec.size()?
			                    vec.back():
			                    0, i) + a[i];
			if (vec.size()) {
				dp[j][i] = min(dp[j][i],
				               dp[j][vec.back()]);
			}
			up(j, i, dp[j][i]);
		}
		vec.push_back(i);
	}	
	cout << dp[k][n-1] << '\n';
}
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