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;
struct DSU {
int cnt;
int size;
vector<int> e;
DSU (int _) : size (_) {
e = vector<int> (size, -1);
}
int root(int x) {
return (e[x] < 0 ? x : (e[x] = root(e[x])));
}
bool same(int x, int y) {
return root(x) == root(y);
}
void unite(int x, int y) {
if (same(x, y)) return;
x = root(x), y = root(y);
if (-e[x] > -e[y]) {
swap(x, y);
}
e[y] += e[x];
e[x] = y;
cnt --;
}
};
const int N = (int)1e5;
const int Mx = (int)1e7;
int n;
int a[N];
int nxt[Mx + 1];
vector<pair<int, int>> edges[Mx + 1];
void solve() {
cin >> n;
for (int i = 0; i < n;i ++) {
cin >> a[i];
}
sort(a, a + n);
int ptr = 1;
for (int i = 1; i < n;i ++) {
if (a[i] != a[i - 1]) {
a[ptr] = a[i];
ptr ++;
}
}
n = ptr;
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] *= -1;
}
}
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] + 1] < 0 ? -nxt[a[i] + 1] : nxt[a[i] + 1]);
} else {
nt = (nxt[j] < 0 ? -nxt[j] : nxt[j]);
}
if (a[nt - 1] >= j + a[i]) continue;
edges[a[nt - 1] - j].push_back(make_pair(i + 1, nt));
}
}
int64_t ans = 0;
DSU d(n);
for (int i = 0; i < a[n - 1]; i ++) {
for (auto& e : edges[i]) {
if (!d.same(e.first - 1, e.second - 1)) {
d.unite(e.first - 1, e.second - 1);
ans += i;
}
}
}
cout << ans << '\n';
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}
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