CodeForces 140C - New Year Snowmen（优先队列）

C. New Year Snowmen

time limit per test2 seconds

memory limit per test256 megabytes

inputstandard input

outputstandard output

As meticulous Gerald sets the table and caring Alexander sends the postcards, Sergey makes snowmen. Each showman should consist of three snowballs: a big one, a medium one and a small one. Sergey’s twins help him: they’ve already made n snowballs with radii equal to r1, r2, …, rn. To make a snowman, one needs any three snowballs whose radii are pairwise different. For example, the balls with radii 1, 2 and 3 can be used to make a snowman but 2, 2, 3 or 2, 2, 2 cannot. Help Sergey and his twins to determine what maximum number of snowmen they can make from those snowballs.

Input

The first line contains integer n (1 ≤ n ≤ 105) — the number of snowballs. The next line contains n integers — the balls’ radii r1, r2, …, rn (1 ≤ ri ≤ 109). The balls’ radii can coincide.

Output

Print on the first line a single number k — the maximum number of the snowmen. Next k lines should contain the snowmen’s descriptions. The description of each snowman should consist of three space-separated numbers — the big ball’s radius, the medium ball’s radius and the small ball’s radius. It is allowed to print the snowmen in any order. If there are several solutions, print any of them.

Examples

input

7

1 2 3 4 5 6 7

output

2

3 2 1

6 5 4

input

3

2 2 3

output

0

题意：

给出n个数，输出若干3个一组的严格递减数，并输出组的个数。

解题思路：

放到优先队列中，每次输出最大的。

AC代码：

#include<bits/stdc++.h>
using namespace std;
const int maxn = 1e5+5;
struct node
{
int r;
int num;
friend bool operator < (node a,node b) {return a.num<b.num;}
}q;
struct node2
{
int r1;
int r2;
int r3;
}ans[maxn];
int main()
{
int n;
scanf("%d",&n);
map<int,int>mp;
mp.clear();
for(int i = 0;i < n;i++)
{
int tmp;
scanf("%d",&tmp);
mp[tmp]++;
}
int cnt = 0;
priority_queue<node> p;
map<int,int>::iterator it;
for(it = mp.begin();it != mp.end();it++)
{
node q;
q.r = it->first;
q.num = it->second;
p.push(q);
}
while(!p.empty())
{
node t1 = p.top();
p.pop();
if(p.empty())   break;
node t2 = p.top();
p.pop();
if(p.empty())   break;
node t3 = p.top();
p.pop();
ans[cnt].r1 = t1.r,t1.num--;
ans[cnt].r2 = t2.r,t2.num--;
ans[cnt].r3 = t3.r,t3.num--;
cnt++;
if(t1.num)  p.push(t1);
if(t2.num)  p.push(t2);
if(t3.num)  p.push(t3);
}
printf("%d\n",cnt);
int tmp[3];
for(int i = 0;i < cnt;i++)
{
tmp[0] = ans[i].r1;
tmp[1] = ans[i].r2;
tmp[2] = ans[i].r3;
sort(tmp,tmp+3);
printf("%d %d %d\n",tmp[2],tmp[1],tmp[0]);
}
}