CF140CNew Year Snowmen
CF140C
题目大意:堆雪人,需要三个大小不同的雪球,现有\(n\)个给定大小的雪球,问最多堆多少个雪人
一个很明显的思路是把每种雪球出现的个数记录下来,然后直接扔到大根堆里面,每次选择剩下出现次数最多的三个堆成一个雪人,可以证明,这样一定不会比选择小的更劣
#include<cstdio>
#include<iostream>
#include<queue>
#include<algorithm>
#include<cstring>
#include<cctype>
#include<vector>
#include<ctime>
#define LL long long
#define pii pair<int,int>
#define mk make_pair
#define fi first
#define se second
using namespace std;
const int N = 2e5 + 3;
int a[N];
int n;
int s[5];
priority_queue <pii> q;
struct node{
int x,y,z;
}qq[N];
inline int read(){
int v = 0,c = 1;char ch = getchar();
while(!isdigit(ch)){
if(ch == '-') c = -1;
ch = getchar();
}
while(isdigit(ch)){
v = v * 10 + ch - 48;
ch = getchar();
}
return v * c;
}
int main(){
n = read();
for(int i = 1;i <= n;++i) a[i] = read();
sort(a + 1,a + n + 1);
int res = 1;
for(int i = 1;i <= n;++i){
if(a[i] == a[i + 1]) res++;
else{
q.push(mk(res,a[i]));
res = 1;
}
}int ans = 0;
while(q.size() >= 3){
pii k1 = q.top();q.pop();
pii k2 = q.top();q.pop();
pii k3 = q.top();q.pop();
ans++;
s[1] = k1.se,s[2] = k2.se,s[3] = k3.se;
sort(s + 1,s + 4);
qq[ans] = (node){s[3],s[2],s[1]};
k1.fi--,k2.fi--,k3.fi--;
if(k1.fi) q.push(k1);
if(k2.fi) q.push(k2);
if(k3.fi) q.push(k3);
}
printf("%d\n",ans);
for(int i = 1;i <= ans;++i) printf("%d %d %d\n",qq[i].x,qq[i].y,qq[i].z);
return 0;
}