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Copy pathmain.cpp
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37 lines (34 loc) · 961 Bytes
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#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
auto sol = [](int n, i64 k, auto v) {
vector dp(n, i64(0));
deque dq(1, pair(i64(-2) * v[0], dp[0] + i64(v[0]) * v[0]));
for (int i = 1; i < n; i++) {
while (dq.size() >= 2) {
i64 v1 = dq[0].first * v[i] + dq[0].second;
i64 v2 = dq[1].first * v[i] + dq[1].second;
if (v1 < v2) break;
dq.pop_front();
}
dp[i] = dq[0].first * v[i] + dq[0].second + i64(v[i]) * v[i] + k;
i64 a = i64(-2) * v[i];
i64 b = dp[i] + i64(v[i]) * v[i];
while (dq.size() >= 2) {
auto [a1, b1] = dq[dq.size() - 2];
auto [a2, b2] = dq.back();
if ((b2 - b1) * (a2 - a) < (b - b2) * (a1 - a2)) break;
dq.pop_back();
}
dq.push_back(pair(a, b));
}
return dp[n - 1];
};
int main() {
cin.tie(0)->sync_with_stdio(0);
int n; cin >> n;
i64 k; cin >> k;
vector v(n, 0);
for (int i = 0; i < n; i++) cin >> v[i];
cout << sol(n, k, v) << '\n';
}