题目链接:
PKU:http://poj.org/problem?id=3928
HDU:http://acm.hdu.edu.cn/showproblem.php?pid=2492
Description
Input
Output
Sample Input
1 3 1 2 3
Sample Output
1
Source
代码如下:
#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
const int maxn=100017;
int n;
int a[maxn], c[maxn];
int leftMax[maxn], leftMin[maxn];
int rightMax[maxn], rightMin[maxn];
typedef __int64 LL;
int Lowbit(int x) //2^k
{
return x&(-x);
}
void update(int i, int x)//i点增量为x
{
while(i <= maxn)//注意此处
{
c[i] += x;
i += Lowbit(i);
}
}
int sum(int x)//区间求和 [1,x]
{
int sum=0;
while(x>0)
{
sum+=c[x];
x-=Lowbit(x);
}
return sum;
}
int main()
{
int t;
int n;
scanf("%d",&t);
while(t--)
{
scanf("%d",&n);
for(int i = 1; i <= n; i++)
{
scanf("%d",&a[i]);
}
memset(c,0,sizeof(c));
for(int i = 1; i <= n; i++)
{
leftMin[i] = sum(a[i]);//计算左边小的个数
leftMax[i] = i-leftMin[i]-1;//计算左边大的个数
update(a[i],1);
}
memset(c,0,sizeof(c));//再次清零
for(int i = n,j = 1; i >= 1; i--,j++)
{
rightMin[i] = sum(a[i]);
rightMax[i] = j-rightMin[i]-1;
update(a[i],1);
}
LL ans = 0;
for(int i = 1; i <= n; i++)
{
ans+=leftMax[i]*rightMin[i] + leftMin[i]*rightMax[i];//交叉相乘取和
}
printf("%I64d\n",ans);
}
return 0;
}
POJ 3928 & HDU 2492 Ping pong(树状数组求逆序数)
原文地址:http://blog.csdn.net/u012860063/article/details/40155563