Sort it

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

Problem Description

You want to processe a sequence of n distinct integers by swapping two adjacent sequence elements until the sequence is sorted in ascending order. Then how many times it need.

For example, 1 2 3 5 4, we only need one operation : swap 5 and 4.

Input

The input consists of a number of test cases. Each case consists of two lines: the first line contains a positive integer n (n <= 1000); the next line contains a permutation of the n integers from 1 to n.

Output

For each case, output the minimum times need to sort it in ascending order on a single line.

Sample Input

3
1 2 3
4
4 3 2 1 

Sample Output

0
6

Author

WhereIsHeroFrom

Source

ZJFC 2009-3 Programming Contest

题意，用冒泡排序的方法把n个数排成按升序排列需要几步。

点击打开链接

#include<iostream>
#include<algorithm>
#include<stdio.h>
#include<string.h>
#include<stdlib.h>

using namespace std;

const int N = 1001;

int n;
int num[N];
int c[N];
struct node{
    int x;
    int id;
}q[N] ;

bool cmp(node a,node b){
    return a.x < b.x;
}

int lowbit(int x){
    return x&(-x);
}

int getsum(int x){
    int s = 0;
    while(x>0){
        s += c[x];
        x -= lowbit(x);
    }
    return s;
}

void add(int x,int y){
    while(x<=n){
        c[x] += y;
        x += lowbit(x);
    }
}

int main()
{
    while(scanf("%d",&n)!=EOF){
        memset(c,0,sizeof(c));
        memset(num,0,sizeof(num));
        for(int i=1;i<=n;i++){
            scanf("%d",&q[i].x);
            q[i].id = i;
        }
        sort(q+1,q+1+n,cmp);
        for(int i=1;i<=n;i++){
            num[q[i].id] = i;
        }
        int sum = 0;
        for(int i=1;i<=n;i++){
            add(num[i],1);
            sum += getsum(n) - getsum(num[i]);
        }
        printf("%d\n",sum);
    }
    return 0;
}

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