Submission #886896

#TimeUsernameProblemLanguageResultExecution timeMemory
886896beabossSirni (COCI17_sirni)C++14
98 / 140
1012 ms786432 KiB
// Source: https://oj.uz/problem/view/COCI17_sirni
// 

#include "bits/stdc++.h"

using namespace std;

#define s second
#define f first
#define pb push_back

typedef long long ll;

typedef pair<ll, ll> pii;
typedef vector<pii> vpii;

typedef vector<ll> vi;

#define FOR(i, a, b) for (ll i = (a); i<b; i++)

bool ckmin(ll& a, ll b){ return b < a ? a = b, true : false; }

bool ckmax(ll& a, ll b){ return b > a ? a = b, true : false; }

set<ll> uni;

const ll P = 1e7 + 10;

vpii ed[P];

struct DSU {
	vector<ll> e;
	DSU(ll N) { e = vector<ll>(N, -1); }

	// get representive component (uses path compression)
	ll get(ll x) { return e[x] < 0 ? x : e[x] = get(e[x]); }

	bool same_set(ll a, ll b) { return get(a) == get(b); }

	ll size(ll x) { return -e[get(x)]; }

	bool unite(ll x, ll y) {  // union by size
		x = get(x), y = get(y);
		if (x == y) return false;
		if (e[x] > e[y]) swap(x, y);
		e[x] += e[y];
		e[y] = x;
		return true;
	}
};

DSU dsu(P);

ll nxt[P];

int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);

	ll n;
	cin >> n;

	FOR(i, 1, n + 1) {
		ll k;
		cin >> k;
		uni.insert(k);
	}

	ll largest = *prev(uni.end(), 1);
	ll cur = largest;
	FOR(i, largest + 1, P) nxt[i] = -1;
	for (ll i = largest; i >= 0; i--) {
		cur = *uni.lower_bound(i);
		nxt[i] = cur;
	}

	for (auto cur: uni) {

		for (ll e = cur; e < P; e += cur) {
			

			// ll ub = e + cur - 1;

			ll val = nxt[e];
			if (e == cur) val = nxt[e+1];

			if (val == -1) break;
			
			if (val < e + cur) ed[val % cur].pb({cur, val});


			// cout << cur << val << endl;

			// if (it == uni.begin()) continue;
			// ll val = *prev(it, 1);
			// while (val >= e) {
			// 	cout << cur << val << endl;
			// 	ed.pb({val - e, {cur, val}});
			// 	ub = (e + val) / 2;

			// 	if (val == e) break;

			// 	it = uni.upper_bound(ub);
			// 	if (it == uni.begin()) break;
			// 	val = *prev(it, 1);
			// } 
		}
	}


	ll sz = 0;

	FOR(c, 0, P) {
		for (auto e: ed[c]) 
			if (dsu.unite(e.f, e.s)) sz += c;
	
	}

	cout << sz << endl;


}












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