In this problem, you have to analyze a particular sorting algorithm. The algorithm processes a sequence of n distinct integers by swapping two adjacent sequence elements until the sequence is sorted in ascending order. For the input sequence 
9 1 0 5 4 ,
Ultra-QuickSort produces the output 
0 1 4 5 9 .
Your task is to determine how many swap operations Ultra-QuickSort needs to perform in order to sort a given input sequence.

Input

The input contains several test cases. Every test case begins with a line that contains a single integer n < 500,000 -- the length of the input sequence. Each of the the following n lines contains a single integer 0 ≤ a[i] ≤ 999,999,999, the i-th input sequence element. Input is terminated by a sequence of length n = 0. This sequence must not be processed.

Output

For every input sequence, your program prints a single line containing an integer number op, the minimum number of swap operations necessary to sort the given input sequence.

Sample Input

5
9
1
0
5
4
3
1
2
3
0

Sample Output

6
0 简单的树状数组应该 应该是最基本的应用求逆序对
注意离散化
 #include <cstdio>
#include <cstring>
#include <queue>
#include <cmath>
#include <algorithm>
#include <set>
#include <iostream>
#include <map>
#include <stack>
#include <string>
#include <vector>
#define pi acos(-1.0)
#define eps 1e-6
#define fi first
#define se second
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
#define bug printf("******\n")
#define mem(a,b) memset(a,b,sizeof(a))
#define fuck(x) cout<<"["<<x<<"]"<<endl
#define f(a) a*a
#define sf(n) scanf("%d", &n)
#define sff(a,b) scanf("%d %d", &a, &b)
#define sfff(a,b,c) scanf("%d %d %d", &a, &b, &c)
#define pf printf
#define FRE(i,a,b) for(i = a; i <= b; i++)
#define FREE(i,a,b) for(i = a; i >= b; i--)
#define FRL(i,a,b) for(i = a; i < b; i++)
#define FRLL(i,a,b) for(i = a; i > b; i--)
#define FIN freopen("DATA.txt","r",stdin)
#define lowbit(x) x&-x
#pragma comment (linker,"/STACK:102400000,102400000") using namespace std;
typedef long long LL ;
const int maxn = 5e5 + ;
int n, a[maxn], c[maxn], b[maxn], bit[maxn];
void update(int x) {
while(x <= n) {
bit[x] += ;
x += lowbit(x);
}
}
int sum(int i) {
int ret = ;
while(i > ) {
ret += bit[i];
i -= lowbit(i);
}
return ret;
}
int main() {
while(scanf("%d", &n), n) {
for (int i = ; i <= n ; i++) {
scanf("%d", &a[i]);
b[i] = a[i];
}
sort(b + , b + + n);
for (int i = ; i <= n ; i++)
c[i] = lower_bound(b + , b + + n, a[i]) - b;
mem(bit, );
LL ans=;
for (int i= ;i<=n ;i++) {
update(c[i]);
ans+=i-sum(c[i]);
}
printf("%lld\n",ans);
}
return ;
}
												

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