This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int, int>
const int N = 1e5 + 5;
const int maxn = 1e7 + 5;
int n, a[N], Next[maxn];
bool exist[maxn];
int par[maxn], sz[maxn];
vector<pii> g[maxn];
int find(int u) {
if(u == par[u]) return u;
return par[u] = find(par[u]);
}
bool join(int u, int v) {
u = find(u); v = find(v);
if(u == v) return true;
if(sz[u] < sz[v]) swap(u, v);
sz[u] += sz[v];
par[v] = u;
return false;
}
void solve() {
cin >> n;
int Max = 0;
for(int i = 1; i <= n; ++i) {
cin >> a[i];
Next[a[i]] = a[i];
Max = max(Max, a[i]);
exist[a[i]] = 1;
}
for(int i = Max; i >= 0; --i) {
if(!exist[i]) Next[i] = Next[i + 1];
}
for(int i = 1; i <= n; ++i) {
if(!exist[a[i]]) continue;
int x = a[i];
for(int j = 1; j <= Max / x; ++j) {
int y = (j == 1) ? x + 1 : x * j;
y = Next[y];
if(x * (j + 1) > y) g[y % x].emplace_back(y, x);
}
exist[a[i]] = 0; // duyet 1 lan
}
int ans = 0;
for(int i = 1; i <= n; ++i) par[a[i]] = a[i], sz[a[i]] = 1;
for(int i = 0; i <= Max; ++i) {
for(auto [u, v] : g[i]) {
if(!join(u, v)) ans += i;
}
}
cout << ans << '\n';
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int test = 1;
// cin >> test;
while(test--) solve();
}
/*
g[i] : cách cạnh có độ dài i
y > x -> giá trị cạnh = y % x
-> Max = max(a[i])
với mỗi node giá trị x, duyệt bội của x -> y = k * x <= Max
tìm số gần y nhất xuất hiện -> push cạnh
-> tìm cây khung nhỏ nhất
*/
Compilation message (stderr)
sirni.cpp: In function 'void solve()':
sirni.cpp:52:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
52 | for(auto [u, v] : g[i]) {
| ^
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