归并排序求解逆序对
#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<cmath>
#include<iostream>
#include<algorithm>
using namespace std;
const int N=500000;
unsigned long int n,a[N],c[N],ans;
void ready()
{
cin>>n;
for(int i=1;i<=n;i++)
cin>>a[i];
}
inline void msort(unsigned long int l,unsigned long int r)
{
if(l==r)return;
unsigned long int mid=(l+r)>>1;//">>"表示右移一位,即除2取整
msort(l,mid);msort(mid+1,r);
unsigned long int i=l,j=mid+1,k=l;
while(i<=mid&&j<=r){
if(a[i]<=a[j])
c[k++]=a[i++];
else{
c[k++]=a[j++];
ans+=(mid-i+1);//归并中,每当a[i]>a[j]时,就会出现mid-i+1个逆序数。
}
}
while(i<=mid)c[k++]=a[i++];
while(j<=r)c[k++]=a[j++];
for(i=l;i<=r;i++)
a[i]=c[i];
}
void work()
{
msort(1,n);
cout<<ans<<endl;
}
int main()
{
std::ios::sync_with_stdio(false);
ready();work();return 0;
}
过oj用。

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