제출 #891808

#제출 시각아이디문제언어결과실행 시간메모리
891808cumanSirni (COCI17_sirni)C++14
140 / 140
1522 ms765092 KiB
#include <bits/stdc++.h>
using namespace std;
#define all(v) v.begin(),v.end()
using i64 = long long;
#define rep(i,l,r) for (int i = (l); i <= (r); i++)
 
struct DSU {
    vector<int> e;
    void initSz(int n) {
        e = vector<int>(n, -1);
    }
    int fr(int x) { return e[x] < 0 ? x : e[x] = fr(e[x]); }
    bool unite(int x, int y) {
        x = fr(x), y = fr(y);
        if (x==y) return false;
        if (e[x] > e[y]) swap(x,y);
        e[x] += e[y];
        e[y] = x;
        return true;
    }
};

signed main() {
    int N; cin >> N;
    vector<int> A(N);
    for (int& i : A) cin >> i;

    sort(all(A));
    A.erase(unique(all(A)), A.end());
    N = A.size();

    int Largest = A.back();
    vector<vector<pair<int,int>>> edges(Largest + 1);

    if (N > 1e3) {
        vector<int> lb(Largest+1);
        for (int i = 0; i <= Largest; i++) {
            lb[i] = lower_bound(A.begin() + lb[i-1], A.end(), i) - A.begin();
        }

        for (int i = 0; i < N-1; i++) {
            edges[A[i+1] % A[i]].push_back({i, i+1});
            for (int at = 2 * A[i]; at <= Largest; at += A[i]) {
                int j = lb[at];
                if (j < N) {
                    edges[A[j] % A[i]].push_back({i, j});
                }
            }
        }
    }
    else {
        for (int i = 0; i < N; i++) {
            for (int j = i+1; j < N; j++) {
                edges[A[j] % A[i]].push_back({i, j});
            }
        }
    }

    DSU dsu;
    dsu.initSz(N);

    long long res = 0;
    for (int w = 0; w <= Largest; w++) {
        for (auto item : edges[w]) {
            int u = item.first, v = item.second;
            res += w * dsu.unite(u, v);
        }
    }

    cout << res;
    return 0;
}
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