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.
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
1 3 6 9 0 8 5 7 4 2
Sample Output
16
//有的大神是用线段树解的，原谅我怎么都无法看出线段树来。。。。_(:з」∠)_
//于是采用暴力解，然而。。超时了 (╯‵□′)╯︵┴─┴
//于是借鉴别人的代码~~~ (●'◡'●)
//思路：每次把末尾的数掉到序列前面时，减少的逆序对数为n-1-a[i] ，
//增加的逆序对数为a[i] ，这样就可在所有的序列中找出含有逆序对最少的了！（ps：给跪了，这是性质吗。。。
#include <iostream>
#include <cstdio>
using namespace std; int main()
{
int n,ans,k;
int data[];
while(cin>>n)
{
ans=;
for(int i=;i<n;i++)
scanf("%d",&data[i]);
for(int i=;i<n;i++)
{
for(int j=i;j<n;j++)
{
if(data[i]>data[j])
ans++;
}
}
k=ans;
for(int i=n-;i>=;i--)
{
k-=n--data[i];
k+=data[i];
if(ans>k)
ans=k;
}
cout<<ans<<endl;
}
return ;
}
//再贴上我的狗血超时代码。。。
#include <iostream>
#include <cstdio>
#include <algorithm>
using namespace std; int find(int a[],int n)
{
int ans=;
for(int i=;i<n;i++)
{
for(int j=i+;j<n;j++)
{
if(a[i]>a[j])
ans++;
}
}
return ans;
} int main()
{
int n;
int data[],num[];
while(scanf("%d",&n)!=-)
{
for(int i=;i<n;i++)
scanf("%d",&data[i]);
for(int i=;i<n;i++)
{
num[i]=find(data,n);
int tmp=data[n-];
for(int j=n-;j>=;j--)
{
data[j]=data[j-];
}
data[]=tmp;
}
sort(num,num+n);
cout<<num[]<<endl;
}
return ;
}