为何桶排计算贡献有问题

#include<bits/stdc++.h>
#define rd() read()
#define wt write
#define pc putchar
using namespace std;
namespace IO{
	inline int read(){
		int x=0,f=1;
		char c=getchar();
		while(c<'0'||c>'9'){
			if(c=='-'){
				f=-1;
			}
			c=getchar();
		}
		while(c>='0'&&c<='9'){
			x=(x<<1)+(x<<3)+(c^48);
			c=getchar();
		}
		return x*f;
	}
	inline void write(int x){
		if(x<0){
			x=-x;
			pc('-');
		}
		if(x>9){
			wt(x/10);
			pc(x%10+'0');
		}
		else{
			pc(x+'0');
		}
		return ;
	}
}
using namespace IO;
namespace Main{
	const int N=1e5+7;
	int n,res,cnt,minn=0x3f3f3f3f;
	int s[N];
	inline void main(){
		cnt=n=rd();
		for(int i=0;i<n;i++){
			int x=rd();
			++s[x];
			minn=min(minn,x);
		}
		for(int i=0;i<=100000;i++){
			if(s[i]){
				res+=i*(((cnt+(cnt-s[i]+1))*s[i])>>1);
				cnt-=s[i];
			}
		}
		wt(res-minn);
		return ;
	}
}
signed main(){
//	freopen("1.in","r",stdin);
//	freopen("out.out","w",stdout);
	Main::main();
	return 0;
}
/*
3 
1 2 9 
*/