Ultra-QuickSort
Time Limit: 7000MS | Memory Limit: 65536K | |
Total Submissions: 43339 | Accepted: 15798 |
Description
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.
Ultra-QuickSort produces the output
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
自从高二以来好像只用线段树没有写过树状数组……随便拿个求逆序对的题练练手
#include<cstdio> #include<iostream> #include<cstring> #include<cstdlib> #include<algorithm> #include<cmath> #include<queue> #include<deque> #include<set> #include<map> #include<ctime> #define LL long long #define inf 0x7ffffff #define pa pair<int,int> #define pi 3.1415926535897932384626433832795028841971 using namespace std; inline LL read() { LL x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();} return x*f; } struct dat{ int a,rnk; }a[500010]; int d[500010]; int c[500010]; bool operator <(const dat &a,const dat &b) {return a.a<b.a;} int n,cnt; LL ans; inline int lowbit(int x){return x&(-x);} inline int change(int x) { for (int i=x;i<=n;i+=lowbit(i)) c[i]++; } inline int query(int x) { int sum=0; for (int i=x;i;i-=lowbit(i)) sum+=c[i]; return sum; } int main() { while (scanf("%d",&n)&&n) { for (int i=1;i<=n;i++) a[i].a=read(),a[i].rnk=i; sort(a+1,a+n+1); cnt=ans=0; a[0].a=-1; for (int i=1;i<=n;i++) { if (a[i].a!=a[i-1].a)cnt++; d[a[i].rnk]=cnt; } memset(c,0,sizeof(c)); for (int i=n;i>=1;i--) { ans+=query(d[i]); change(d[i]); } printf("%lld ",ans); } }