Submission #9591

#TimeUsernameProblemLanguageResultExecution timeMemory
9591maniacUniting (kriii2_U)C++98
4 / 4
52 ms3228 KiB
#include<cstdio>
#include<cassert>
#include<cstring>
#include<map>
#include<set>
#include<time.h>
#include<algorithm>
#include<stack>
#include<queue>
#include<utility>
#include<cmath>
#include<iostream>
#include<string>
#include<vector>
#include<limits>
   
using namespace std;
#define LL long long 
#define mod 1000000007
LL n,re,cnt,add,sum;
priority_queue <LL> q;
map <LL,LL > mp;

long long gcd( long long b, long long s ){
	return (s!=0) ? gcd( s, b%s ) : b;
}


void solve(){
	scanf("%lld",&n);
	cnt = 1;
	for(LL i = 1; i <= n; i++){
		LL a ;
		scanf("%lld",&a);
		mp[a] ++;
		q.push(-a);
	}

	if( n == 1){
		re = 0;
		cnt = 1;
		printf("%lld\n%lld\n",re,cnt);
		return ;
	}

	while( !q.empty() ){
		LL a,b;
		a = -q.top(); q.pop();
		b = -q.top(); q.pop();
		if( a == b){
			cnt *= (mp[a]*(mp[a]-1))%mod;
			cnt %=mod;
			mp[a]-=2;
		}
		else{
			cnt *= (mp[a]*mp[b])%mod;
			cnt%=mod;
			cnt *= 2;
			cnt %=mod;
			mp[a]--;
			mp[b]--;
		}
		re += (a*b);
		//re%=mod;
		if( !q.empty() ){
			q.push( -(a+b) );
			mp[a+b]++;
		}
	}
	if( n == 2)
		cnt = 2;
	else{
		cnt = 12;
		add = 12;
		sum = 8;
		for(int i = 4; i<=n; i++){
			cnt*=add;
			cnt%=mod;
			add+=sum;
			sum+=2;
			add%=mod;
			sum%=mod;
		}
		cnt%=mod;
	}

	printf("%lld\n%lld\n",re,cnt);
}

int main(){
	//freopen("in.txt", "r", stdin);
	//freopen("input.txt", "r", stdin);
	solve();

}
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