本文共 2696 字,大约阅读时间需要 8 分钟。
Time Limit: 1000MS | | Memory Limit: 65536K |
Total Submissions: 5245 | | Accepted: 3095 |
Description
Some programming contest problems are really tricky: not only do they require a different output format from what you might have expected, but also the sample output does not show the difference. For an example, let us look at permutations.
A permutation of the integers 1 to n is an ordering of these integers. So the natural way to represent a permutation is to list the integers in this order. With n = 5, a permutation might look like 2, 3, 4, 5, 1.
However, there is another possibility of representing a permutation: You create a list of numbers where the i-th number is the position of the integer i in the permutation. Let us call this second possibility an inverse permutation. The inverse permutation for the sequence above is 5, 1, 2, 3, 4.
An ambiguous permutation is a permutation which cannot be distinguished from its inverse permutation. The permutation 1, 4, 3, 2 for example is ambiguous, because its inverse permutation is the same. To get rid of such annoying sample test cases, you have to write a program which detects if a given permutation is ambiguous or not.
Input
The input contains several test cases.
The first line of each test case contains an integer n (1 <= n <= 100000). Then a permutation of the integers 1 to n follows in the next line. There is exactly one space character between consecutive integers. You can assume that every integer between 1 and n appears exactly once in the permutation.
The last test case is followed by a zero.
Output
For each test case output whether the permutation is ambiguous or not. Adhere to the format shown in the sample output.
Sample Input
41 4 3 252 3 4 5 1110
Sample Output
ambiguousnot ambiguousambiguous
Hint
Huge input,scanf is recommended.
Source
对于一个有N个元素的队列,队列元素为[1,2,...,N-1,N],进行一次队列变换,当前队列“数字i的位置”将成为变换后队列的第i个元素的值(下标从1开始)。
一开始拿到题目基本上又是什么都没有读懂的状态,就知道又是讨厌的英文题了。。。搞懂题意之后简单模拟就可以出解。
#include #include #include int arr[110000];int end[110000];int change(int arr[], int n){ //0 not ambiguous 1 ambiguous int i, j; int flag = 1; for (i = 1; i <= n; i++){ end[arr[i]] = i; } for (i = 1; i <= n; i++){ if (end[i] != arr[i]){ flag = 0; } } return flag;}int main(void){ int n, i; while (scanf("%d", &n), n != 0){ memset(arr, 0, sizeof(arr)); memset(end, 0, sizeof(end)); for (i = 1; i <= n; i++){ scanf("%d", &arr[i]); } if (change(arr, n)){ printf("ambiguous\n"); } else{ printf("not ambiguous\n"); } } return 0;}
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