ACM(Array Complicated Manipulation)
Time Limit: 1000 ms
Memory Limit: 32768 KiB
Problem Description
Given an infinite array of integers 2,3,.... Now do some operations on it.
The operation is to choose a minimum number from the array which is never been chosen, then change the status of its multiples excluding itself, i.e remove the multiples of the chosen number if they are in the array , otherwise add it to the array.keep the order after change.
For instance, the first step, choose number 2, change the status of 4, 6, 8, 10... They are all removed from the array. The second step, choose 3, change the status of 6, 9, 12, 15...
Pay attention: 9 and 15 are removed from the array while 6 and 12 are added to the array.
The operation is to choose a minimum number from the array which is never been chosen, then change the status of its multiples excluding itself, i.e remove the multiples of the chosen number if they are in the array , otherwise add it to the array.keep the order after change.
For instance, the first step, choose number 2, change the status of 4, 6, 8, 10... They are all removed from the array. The second step, choose 3, change the status of 6, 9, 12, 15...
Pay attention: 9 and 15 are removed from the array while 6 and 12 are added to the array.
Input
Every line contains an integer n. The zero value for n indicates the end of input.
Output
Print "yes" or "no" according whether n is in the array.
Sample Input
2 30 90 0
Sample Output
yes yes no
Hint
hdoj2441 有链接提示的题目请先去链接处提交程序，AC后提交到SDUTOJ中，以便查询存档。 Hint: The number n never has a prime factor greater than 13000000, but n may be extremely large.
Source
2008 Asia Harbin Regional Contest Online