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PAT1067. Sort with Swap(0,*)

时间:2015-02-16 08:58:45      阅读:188      评论:0      收藏:0      [点我收藏+]

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Given any permutation of the numbers {0, 1, 2,..., N-1}, it is easy to sort them in increasing order. But what if Swap(0, *) is the ONLY operation that is allowed to use? For example, to sort {4, 0, 2, 1, 3} we may apply the swap operations in the following way:

Swap(0, 1) => {4, 1, 2, 0, 3}
Swap(0, 3) => {4, 1, 2, 3, 0}
Swap(0, 4) => {0, 1, 2, 3, 4}

Now you are asked to find the minimum number of swaps need to sort the given permutation of the first N nonnegative integers.

Input Specification:

Each input file contains one test case, which gives a positive N (<=105) followed by a permutation sequence of {0, 1, ..., N-1}. All the numbers in a line are separated by a space.

Output Specification:

For each case, simply print in a line the minimum number of swaps need to sort the given permutation.

Sample Input:

10 3 5 7 2 6 4 9 0 8 1

Sample Output:

9

思路:输入的时候存储方式改变一下,这样比较好移动,此题比较有特点。
技术分享
 1 #include <iostream>
 2 #include <cstdio>
 3 using namespace std;
 4 #define MAX 100010
 5 int data[MAX];
 6 int main(int argc, char *argv[])
 7 {
 8     int N;
 9     int step=0;
10     scanf("%d",&N);
11     int index;
12     int min=1;
13     int leave=N-1;
14     for(int i=0;i<N;i++)
15     {
16         int num;
17         scanf("%d",&num);
18         data[num]=i;
19     }
20     for(int i=1;i<N;i++)
21     {
22        if(data[i]==i)
23        {
24           leave--;
25        }
26 
27     }
28     while(leave>0)
29     {
30         if(data[0]!=0)
31         {
32             leave--;
33             int temp=data[data[0]];
34             data[data[0]]=data[0];
35             data[0]=temp;
36             step++;
37             if(leave<=0)
38                break;
39         }
40         else 
41         {
42             while(data[min]!=min)
43              {
44                 int temp=data[min];
45                 data[min]=data[0];
46                 data[0]=temp;
47                 step++;
48                 break;
49             }
50             min++;
51         }
52    }
53     printf("%d\n",step);  
54     return 0;
55 }
View Code

 

PAT1067. Sort with Swap(0,*)

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原文地址:http://www.cnblogs.com/GoFly/p/4293655.html

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