Library

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:heavy_check_mark: test/CHT-Monotone.test.cpp

Depends on

Code

// competitive-verifier: PROBLEM https://yukicoder.me/problems/no/703
#include "../CHT-Monotone.cpp"
using ll = long long;
void solve() {
    int n;
    cin >> n;
    vector<ll> a(n), x(n), y(n), dp(n + 1);
    for (int i = 0; i < n; i++) cin >> a[i];
    for (int i = 0; i < n; i++) cin >> x[i];
    for (int i = 0; i < n; i++) cin >> y[i];
    dp[0] = 0;
    CHT_Monotone<ll> cht;
    for (int i = 0; i < n; i++) {
        cht.add(-2 * x[i], dp[i] + x[i] * x[i] + y[i] * y[i]);
        dp[i + 1] = a[i] * a[i] + cht.query(a[i]);
    }
    cout << dp[n] << endl;
}
int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    solve();
}
#line 1 "test/CHT-Monotone.test.cpp"
// competitive-verifier: PROBLEM https://yukicoder.me/problems/no/703
#line 1 "CHT-Monotone.cpp"
#include <bits/stdc++.h>
using namespace std;
template <class T, bool isMax = false>
struct CHT_Monotone {
    // 追加クエリの傾き:単調減少 xor isMax
    // 取得クエリのx座標:単調増加 xor isMax
    // (単調増加,単調減少)のとき:a,x -1倍
    struct Line {
        T a, b;
        T y(T x) { return a * x + b; }
    };
    deque<Line> q;
    bool noneed(Line a, Line b, Line c) { return (b.b - c.b) * (b.a - a.a) <= (a.b - b.b) * (c.a - b.a); }
    void add(T a, T b) {
        Line l = {a, b};
        while (q.size() > 1 && noneed(q[q.size() - 2], q[q.size() - 1], l)) {
            q.pop_back();
        }
        q.push_back(l);
    }
    T query(T x) {
        if (q.empty()) return numeric_limits<T>::max() / 2;
        while (q.size() > 1 && ((q[0].y(x) > q[1].y(x)) ^ isMax)) {
            q.pop_front();
        }
        return q[0].y(x);
    }
};
#line 3 "test/CHT-Monotone.test.cpp"
using ll = long long;
void solve() {
    int n;
    cin >> n;
    vector<ll> a(n), x(n), y(n), dp(n + 1);
    for (int i = 0; i < n; i++) cin >> a[i];
    for (int i = 0; i < n; i++) cin >> x[i];
    for (int i = 0; i < n; i++) cin >> y[i];
    dp[0] = 0;
    CHT_Monotone<ll> cht;
    for (int i = 0; i < n; i++) {
        cht.add(-2 * x[i], dp[i] + x[i] * x[i] + y[i] * y[i]);
        dp[i + 1] = a[i] * a[i] + cht.query(a[i]);
    }
    cout << dp[n] << endl;
}
int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    solve();
}

Test cases

Env Name Status Elapsed Memory
g++ 00_sample1.txt :heavy_check_mark: AC 5 ms 3 MB
g++ 00_sample2.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 00_sample3.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 00_sample4.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 20_small1.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 20_small10.txt :heavy_check_mark: AC 4 ms 3 MB
g++ 20_small2.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 20_small3.txt :heavy_check_mark: AC 4 ms 3 MB
g++ 20_small4.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 20_small5.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 20_small6.txt :heavy_check_mark: AC 4 ms 3 MB
g++ 20_small7.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 20_small8.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 20_small9.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium1.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium10.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium2.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium3.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium4.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium5.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium6.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium7.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium8.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 30_medium9.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 40_large1.txt :heavy_check_mark: AC 52 ms 13 MB
g++ 40_large10.txt :heavy_check_mark: AC 53 ms 13 MB
g++ 40_large2.txt :heavy_check_mark: AC 53 ms 13 MB
g++ 40_large3.txt :heavy_check_mark: AC 54 ms 13 MB
g++ 40_large4.txt :heavy_check_mark: AC 54 ms 13 MB
g++ 40_large5.txt :heavy_check_mark: AC 54 ms 13 MB
g++ 40_large6.txt :heavy_check_mark: AC 54 ms 13 MB
g++ 40_large7.txt :heavy_check_mark: AC 54 ms 13 MB
g++ 40_large8.txt :heavy_check_mark: AC 53 ms 13 MB
g++ 40_large9.txt :heavy_check_mark: AC 54 ms 13 MB
g++ 50_large_binary1.txt :heavy_check_mark: AC 52 ms 13 MB
g++ 50_large_binary10.txt :heavy_check_mark: AC 57 ms 13 MB
g++ 50_large_binary2.txt :heavy_check_mark: AC 52 ms 13 MB
g++ 50_large_binary3.txt :heavy_check_mark: AC 53 ms 13 MB
g++ 50_large_binary4.txt :heavy_check_mark: AC 53 ms 13 MB
g++ 50_large_binary5.txt :heavy_check_mark: AC 53 ms 13 MB
g++ 50_large_binary6.txt :heavy_check_mark: AC 52 ms 13 MB
g++ 50_large_binary7.txt :heavy_check_mark: AC 51 ms 13 MB
g++ 50_large_binary8.txt :heavy_check_mark: AC 51 ms 13 MB
g++ 50_large_binary9.txt :heavy_check_mark: AC 51 ms 13 MB
g++ 99_corner1.txt :heavy_check_mark: AC 5 ms 4 MB
g++ 99_corner2.txt :heavy_check_mark: AC 4 ms 4 MB
g++ 99_corner3.txt :heavy_check_mark: AC 52 ms 13 MB
g++ 99_corner4.txt :heavy_check_mark: AC 54 ms 13 MB
g++ 99_system_test1.txt :heavy_check_mark: AC 5 ms 4 MB
g++ 99_system_test2.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 00_sample1.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 00_sample2.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 00_sample3.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 00_sample4.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small1.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small10.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small2.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small3.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small4.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small5.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small6.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small7.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small8.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 20_small9.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 30_medium1.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 30_medium10.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 30_medium2.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 30_medium3.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 30_medium4.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 30_medium5.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 30_medium6.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 30_medium7.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 30_medium8.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 30_medium9.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 40_large1.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 40_large10.txt :heavy_check_mark: AC 54 ms 13 MB
clang++ 40_large2.txt :heavy_check_mark: AC 54 ms 13 MB
clang++ 40_large3.txt :heavy_check_mark: AC 54 ms 13 MB
clang++ 40_large4.txt :heavy_check_mark: AC 54 ms 13 MB
clang++ 40_large5.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 40_large6.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 40_large7.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 40_large8.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 40_large9.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 50_large_binary1.txt :heavy_check_mark: AC 52 ms 13 MB
clang++ 50_large_binary10.txt :heavy_check_mark: AC 52 ms 13 MB
clang++ 50_large_binary2.txt :heavy_check_mark: AC 52 ms 13 MB
clang++ 50_large_binary3.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 50_large_binary4.txt :heavy_check_mark: AC 52 ms 13 MB
clang++ 50_large_binary5.txt :heavy_check_mark: AC 52 ms 13 MB
clang++ 50_large_binary6.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 50_large_binary7.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 50_large_binary8.txt :heavy_check_mark: AC 52 ms 13 MB
clang++ 50_large_binary9.txt :heavy_check_mark: AC 52 ms 13 MB
clang++ 99_corner1.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 99_corner2.txt :heavy_check_mark: AC 4 ms 4 MB
clang++ 99_corner3.txt :heavy_check_mark: AC 53 ms 13 MB
clang++ 99_corner4.txt :heavy_check_mark: AC 54 ms 13 MB
clang++ 99_system_test1.txt :heavy_check_mark: AC 5 ms 4 MB
clang++ 99_system_test2.txt :heavy_check_mark: AC 5 ms 4 MB
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