两个set维护k-1小|对顶堆-懒删除

lc3013

两个set维护k-1小

对顶堆-懒删除 数据流中的中位数

class Solution {
public:
long long minimumCost(vector<int>& nums, int k, int dist) {
k--;
long long sum = reduce(nums.begin(), nums.begin() + dist + 2, 0LL);
multiset<int> L(nums.begin() + 1, nums.begin() + dist + 2), R;
auto L2R = [&]() {
int x = *L.rbegin();
sum -= x;
L.erase(L.find(x));
R.insert(x);
};
auto R2L = [&]() {
int x = *R.begin();
sum += x;
R.erase(R.find(x));
L.insert(x);
};
while (L.size() > k) {
L2R();
}

long long ans = sum;
for (int i = dist + 2; i < nums.size(); i++) {
// 移除 out
int out = nums[i - dist - 1];
auto it = L.find(out);
if (it != L.end()) {
sum -= out;
L.erase(it);
} else {
R.erase(R.find(out));
}

// 添加 in
int in = nums[i];
if (in < *L.rbegin()) {
sum += in;
L.insert(in);
} else {
R.insert(in);
}

// 维护大小
if (L.size() == k - 1) {
R2L();
} else if (L.size() == k + 1) {
L2R();
}

ans = min(ans, sum);
}
return ans;
}
};