pku 2299 Ultra-QuickSort(求逆序数)
树状数组 7420K 500MS
#include <stdio.h>
#include <string.h>
#include <algorithm>
using namespace std;
typedef long long LL;
#define MAXN 500010
int n,ihash[MAXN],c[MAXN];
struct SNode
{
int val,id;
} seq[MAXN];
inline bool mycmp(const SNode &s1,const SNode &s2)
{
return s1.val<s2.val;
}
inline int lowbit(int x)
{
return x&(-x);
}
void update(int x,int delta)
{
while(x<MAXN)
{
c[x]+=delta;
x+=lowbit(x);
}
}
int getSum(int x)
{
int s=0;
while(x>0)
{
s+=c[x];
x-=lowbit(x);
}
return s;
}
int main()
{
int i,idx;
while(scanf("%d",&n),n)
{
for(i=1; i<=n; i++)
{
scanf("%d",&seq[i].val);
seq[i].id=i;
}
sort(seq+1,seq+n+1,mycmp);
idx=1;
for(i=1; i<=n; i++)
{
ihash[ seq[i].id ] = idx++;
}
// for(i=1;i<=n;i++) printf("%d ",ihash[i]); printf("\n");
memset(c,0,sizeof(c));
LL ans=0;
for(i=1; i<=n; i++)
{
update(ihash[i],1);
ans += ( i-getSum(ihash[i]) );
}
printf("%I64d\n",ans);
}
return 0;
}
//*****************************************************************************************
归并排序 3700K 391MS
#include <stdio.h>
#define MAXN 500005
int a[MAXN],tmp[MAXN];
long long ans;
void merge(int l,int mid,int r)
{
int i=l,j=mid+1,k=0;
while(i<=mid && j<=r)
{
if(a[i]<=a[j]) tmp[k++]=a[i++];
else
{
tmp[k++]=a[j++];
ans += mid-i+1;
}
}
while(i<=mid) tmp[k++]=a[i++];
while(j<=r) tmp[k++]=a[j++];
for(i=l,k=0;i<=r;i++) a[i]=tmp[k++];
}
void MergeSort(int l,int r)
{
if(l<r)
{
int mid=(l+r)>>1;
MergeSort(l,mid);
MergeSort(mid+1,r);
merge(l,mid,r);
}
}
int main()
{
int n;
while(scanf("%d",&n),n)
{
for(int i=0;i<n;i++) scanf("%d",&a[i]);
ans=0;
MergeSort(0,n-1);
printf("%I64d\n",ans);
}
return 0;
}
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