Submission #139936

#TimeUsernameProblemLanguageResultExecution timeMemory
139936MinnakhmetovSirni (COCI17_sirni)C++14
140 / 140
1909 ms100812 KiB
#include<bits/stdc++.h>
using namespace std;
 
#define ll long long
#define all(aaa) aaa.begin(), aaa.end()
 
const int N = 1e5 + 5, M = 1e7 + 5, INF = 1e9;
int q[N], w[M], nt[M], c[M], st[N];
pair<int, int> mn[N];
bool b[M], d[M];
 
int findSet(int v) {
    return q[v] < 0 ? v : q[v] = findSet(q[v]);
}
 
bool connect(int a, int b) {
    a = findSet(a);
    b = findSet(b);
 
    if (a == b)
        return false;
 
    if (q[a] > q[b])
        swap(a, b);
    q[a] += q[b];
    q[b] = a;
 
    return true;
}
 
signed main() { 
#ifdef HOME
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
    ios_base::sync_with_stdio(0);
    cin.tie(0);
 
    int n;
    cin >> n;

    for (int i = 0; i < n; i++) {
        int x;
        cin >> x; 
        b[x] = 1;
    }
 
    fill(w, w + M, -1);
    fill(q, q + N, -1);
 
    vector<int> v;
 
    int cnt = 0;
 
    for (int i = 0; i < M; i++) {
        if (b[i]) {
            w[i] = cnt++;
        }
    }

    nt[M - 1] = INF;
 
    for (int i = M - 2; i >= 0; i--) {
        nt[i] = b[i] ? i : nt[i + 1];
    }
 
    int remain = cnt;
 
    for (int i = 0; i < M; i++) {
        if (b[i]) {
            for (int j = i + i; j < M; j += i) {
                if (b[j] && connect(w[i], w[j])) {
                    remain--;
                }
                d[j] = 1;
            }
        }
    }

    for (int i = 0; i < M; i++) {
        if (b[i] && !d[i])
            v.push_back(i);
    }
 
    
 
    ll ans = 0;
 
    while (remain > 1) {
        for (int i = 0; i < cnt; i++)
            mn[i] = { INF, -1 };
 
        for (int x : v) {
            int cur_set = st[w[x]];

            for (int i = x; i < M - 1; i += x) {
                int j = nt[i + 1];

                if (j < i + x) {
                    int oth_set = st[w[j]];
                    if (oth_set != cur_set) {
                        if (mn[cur_set].first > j - i)
                            mn[cur_set] = { j - i, oth_set };
                        if (mn[oth_set].first > j - i)
                            mn[oth_set] = { j - i, cur_set };
                    }
                }
            }
        }
 
        for (int i = 0; i < cnt; i++) {
            if (q[i] < 0 && mn[i].second != -1 && connect(i, mn[i].second))  {
                ans += mn[i].first;
                remain--;
            }

        }

        for (int i = 0; i < cnt; i++) {
            st[i] = findSet(i);
        }
    }
 
    cout << ans;
 
 
    return 0;
}   
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