제출 #795356

#제출 시각아이디문제언어결과실행 시간메모리
795356alex_2008K개의 묶음 (IZhO14_blocks)C++14
53 / 100
1077 ms42328 KiB
#include <iostream>
using namespace std;
const int N = 100100, K = 101;
int dp[N][K], a[N], prevv[N], tree[4 * N];
void build_tree(int x, int v, int tl, int tr) {
	if (tl == tr) {
		tree[v] = dp[tl][x];
	}
	else {
		int tm = (tl + tr) / 2;
		build_tree(x, 2 * v, tl, tm);
		build_tree(x, 2 * v + 1, tm + 1, tr);
		tree[v] = min(tree[2 * v], tree[2 * v + 1]);
	}
}
int Min(int v, int tl, int tr, int l, int r) {
	if (tl >= l && tr <= r) return tree[v];
	if (tl > r || tr < l) return 2e9;
	int tm = (tl + tr) / 2;
	return min(Min(2 * v, tl, tm, l, r), Min(2 * v + 1, tm + 1, tr, l, r));
}
int main() {
	ios_base::sync_with_stdio(false); cin.tie(0);
	int n, k;
	cin >> n >> k;
	a[0] = 1e6 + 10;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
		int j = i - 1;
		while (a[j] < a[i]) {
			j = prevv[j];
		}
		prevv[i] = j;
	}
	for (int i = 1; i <= n; i++) {
		dp[i][1] = max(dp[i - 1][1], a[i]);
	}
	build_tree(1, 1, 1, n);
	for (int j = 2; j <= k; j++) {
		for (int i = j; i <= n; i++) {
			dp[i][j] = Min(1, 1, n, max(prevv[i], j - 1), i - 1) + a[i];
			if (prevv[i] >= j) {
				dp[i][j] = min(dp[i][j], dp[prevv[i]][j]);
			}
		}
		build_tree(j, 1, 1, n);
	}
	cout << dp[n][k] << "\n";
}
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