hdu 1394樹状配列求逆シーケンス

2560 ワード

以前線分樹で逆序数を求めたことがありますが、今回は樹状配列で試してみたいと思っていましたが、悲しいのは長い間考えていてやっと分かりました...木の配列についてはまだよく知られていないようですね.もつれて...タイトル:
Minimum Inversion Number
Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 2413    Accepted Submission(s): 1492
Problem Description
The inversion number of a given number sequence a1, a2, ..., an is the number of pairs (ai, aj) that satisfy i < j and ai > aj.
For a given sequence of numbers a1, a2, ..., an, if we move the first m >= 0 numbers to the end of the seqence, we will obtain another sequence. There are totally n such sequences as the following:
a1, a2, ..., an-1, an (where m = 0 - the initial seqence)
a2, a3, ..., an, a1 (where m = 1)
a3, a4, ..., an, a1, a2 (where m = 2)
...
an, a1, a2, ..., an-1 (where m = n-1)
You are asked to write a program to find the minimum inversion number out of the above sequences.
 
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 <= 5000); the next line contains a permutation of the n integers from 0 to n-1.
 
Output
For each case, output the minimum inversion number on a single line.
 
Sample Input

   
   
   
   
10 1 3 6 9 0 8 5 7 4 2

 
Sample Output

   
   
   
   
16

 
acコード:
#include <iostream>
#include <cstdio>
#include <string.h>
int num[5005];
int total[5005];
int n;
int lowbit(int x){
  return x&(-x);
}
void update(int x){
	while(x>0){
	  total[x]++;
	  x-=lowbit(x);
	}
	//printf("***
"); } int add(int x){ int ss=0; x+=1; while(x<=n){ ss+=total[x]; x+=lowbit(x); } return ss; } int main(){ //int n; while(~scanf("%d",&n)){ memset(num,0,sizeof(num)); memset(total,0,sizeof(total)); int sum=0; for(int i=0;i<n;++i){ scanf("%d",&num[i]); update(num[i]+1); sum+=add(num[i]+1); } //printf("sum===%d
",sum); int k=0,s=sum; for(int i=0;i<n;++i){ k=sum-num[i]+(n-1-num[i]); sum=k; //printf("k==%d s==%d
",k,s); if(k<s) s=k; } printf("%d
",s); } return 0; }