제출 #1194225

#제출 시각아이디문제언어결과실행 시간메모리
1194225SnowRaven52Sirni (COCI17_sirni)C++20
0 / 140
157 ms274680 KiB
#include <bits/stdc++.h>

using namespace std;

const int maxn = 1e5;
const int mx = 1e7;
int n, a[maxn], nxt[mx + 1];
vector<pair<int, int>> edges[mx + 1];

class DisjointSets {
    private:
      vector<int> parents;
      vector<int> sizes;
  
    public:
      DisjointSets(int size) : parents(size), sizes(size, 1) {
          for (int i = 0; i < size; i++) { parents[i] = i; }
      }
  
      int find(int x) { return parents[x] == x ? x : (parents[x] = find(parents[x])); }
  
      bool unite(int x, int y) {
          int x_root = find(x);
          int y_root = find(y);
          if (x_root == y_root) { return false; }
  
          if (sizes[x_root] < sizes[y_root]) { swap(x_root, y_root); }
          sizes[x_root] += sizes[y_root];
          parents[y_root] = x_root;
          return true;
      }
  
      bool connected(int x, int y) { return find(x) == find(y); }
  };

int main() {
	// freopen("main.in", "r", stdin);
	// freopen(".out", "w", stdout);
    cin >> n;
    for(int i = 0; i < n; i++) cin >> a[i];
    sort(a, a + n);
    int p = 1;
    for(int i = 1; i < n; i++) if(a[i] != a[i - 1]) a[p] = a[i], p++;
    n = p;
    for(int i = 0; i < n; i++) nxt[a[i]] = -(i + 1);
    for(int i = a[n-1] - 1; i >= 0; i--) {
        if(nxt[i] == 0){
            nxt[i] = nxt[i + 1];
            if (nxt[i] < 0) nxt[i] = -(nxt[i]);
        }
    }
    for(int i = 0; i < n - 1; i++){
        for(int j = a[i]; j <= a[n - 1]; j+=a[i]) {
            int nt;
            if(j == a[i]) nt = (nxt[a[i]] < 0 ? -nxt[a[i] + 1] : nxt[a[i]+1]);
            else nt = (nxt[j] < 0 ? -nxt[j] : nxt[j]);
            if(a[nt - 1] >= a[i] + j) continue;
            edges[a[nt - 1] - j].push_back({i+1, nt});
        }
    }
    long long ans = 0;
    DisjointSets dsu(n);
    for(int i = 0; i < a[n-1]; i++){
        for(auto &edge: edges[i]){
            if(!dsu.connected(edge.first - 1, edge.second - 1)){
                dsu.unite(edge.first - 1, edge.second - 1);
                ans += i;
            }
        }
    }
    cout << ans << endl;
}
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