hdu 4911 Inversion(求逆序数)
2014-08-06 09:23
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题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4911
Total Submission(s): 528 Accepted Submission(s): 228
Problem Description
bobo has a sequence a1,a2,…,an. He is allowed to swap twoadjacent numbers for no more than k times.
Find the minimum number of inversions after his swaps.
Note: The number of inversions is the number of pair (i,j) where 1≤i<j≤n and ai>aj.
Input
The input consists of several tests. For each tests:
The first line contains 2 integers n,k (1≤n≤105,0≤k≤109). The second line contains n integers a1,a2,…,an (0≤ai≤109).
Output
For each tests:
A single integer denotes the minimum number of inversions.
Sample Input
Sample Output
Author
Xiaoxu Guo (ftiasch)
Source
2014 Multi-University Training Contest 5
解法:求的所给序列的逆序数,然后减掉k,如果小于零就去零!
代码如下:(归并排序法)
Inversion
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 528 Accepted Submission(s): 228
Problem Description
bobo has a sequence a1,a2,…,an. He is allowed to swap twoadjacent numbers for no more than k times.
Find the minimum number of inversions after his swaps.
Note: The number of inversions is the number of pair (i,j) where 1≤i<j≤n and ai>aj.
Input
The input consists of several tests. For each tests:
The first line contains 2 integers n,k (1≤n≤105,0≤k≤109). The second line contains n integers a1,a2,…,an (0≤ai≤109).
Output
For each tests:
A single integer denotes the minimum number of inversions.
Sample Input
3 1 2 2 1 3 0 2 2 1
Sample Output
1 2
Author
Xiaoxu Guo (ftiasch)
Source
2014 Multi-University Training Contest 5
解法:求的所给序列的逆序数,然后减掉k,如果小于零就去零!
代码如下:(归并排序法)
#include<stdio.h> int is1[112345],is2[112345];// is1为原数组,is2为临时数组,n为个人定义的长度 __int64 merge(int low,int mid,int high) { int i=low,j=mid+1,k=low; __int64 count=0; while(i<=mid&&j<=high) if(is1[i]<=is1[j])// 此处为稳定排序的关键,不能用小于 is2[k++]=is1[i++]; else { is2[k++]=is1[j++]; count+=j-k;// 每当后段的数组元素提前时,记录提前的距离 } while(i<=mid) is2[k++]=is1[i++]; while(j<=high) is2[k++]=is1[j++]; for(i=low;i<=high;i++)// 写回原数组 is1[i]=is2[i]; return count; } __int64 mergeSort(int a,int b)// 下标,例如数组int is[5],全部排序的调用为mergeSort(0,4) { if(a<b) { int mid=(a+b)/2; __int64 count=0; count+=mergeSort(a,mid); count+=mergeSort(mid+1,b); count+=merge(a,mid,b); return count; } return 0; } int main() { int n, x; __int64 k; __int64 sum; while(scanf("%d%I64d",&n,&k)!=EOF) { for(int i=0;i<n;i++) { scanf("%d",&x); is1[i] = x; } __int64 ans=mergeSort(0,n-1); sum=0; printf("%I64d\n",ans-k>0?ans-k:0); } return 0; }
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