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python/TangDou/AcWing/MonotonicQueue/1089.cpp

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2025-08-30 18:35:01 +08:00
#include <bits/stdc++.h>
using namespace std;
const int N = 200010;
const int INF = 0x3f3f3f3f;
int f[N];
int w[N], n, m;
int q[N], hh, tt;
int main() {
cin >> n >> m;
for (int i = 1; i <= n; i++) cin >> w[i];
hh = 0, tt = 0, q[0] = 0;
for (int i = 1; i <= n; i++) {
// 滑动窗口在i左侧,不包括i,使用前序信息可以更新f[i],滑动窗口长度最长为m
while (hh <= tt && i - q[hh] > m) hh++;
// 因为i不在滑动窗口中,需要用滑动窗口的内容更新f[i],在while上方更新
f[i] = f[q[hh]] + w[i];
// i入队列
while (hh <= tt && f[q[tt]] >= f[i]) tt--;
q[++tt] = i;
}
// 答案可能存在于 n-1,n-2,...n-m+1中,枚举一下求最小值即可
int res = INF;
for (int i = n + 1 - m; i <= n; i++) res = min(res, f[i]);
printf("%d\n", res);
return 0;
}