POJ_2739_Sum of Consecutive Prime Numbers(打表)

Sum of Consecutive Prime Numbers
Time Limit: 1000MS   Memory Limit: 65536K
Total Submissions: 16695   Accepted: 9181

Description

Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The integer 41 has three representations 2+3+5+7+11+13, 11+13+17, and 41. The integer 3 has only one representation, which is 3. The integer 20 has no such representations. Note that summands must be consecutive prime 
numbers, so neither 7 + 13 nor 3 + 5 + 5 + 7 is a valid representation for the integer 20. 
Your mission is to write a program that reports the number of representations for the given positive integer.

Input

The input is a sequence of positive integers each in a separate line. The integers are between 2 and 10 000, inclusive. The end of the input is indicated by a zero.

Output

The output should be composed of lines each corresponding to an input line except the last zero. An output line includes the number of representations for the input integer as the sum of one or more consecutive prime numbers. No other characters should be inserted in the output.

Sample Input

2
3
17
41
20
666
12
53
0

Sample Output

1
1
2
3
0
0
1
2

Source

Japan 2005

题型:数论


题意:

       给一个数n,表示成连续的素数的和,求有多少种组合。若n自己就是素数,自己本身也算一种组合,如:n=2,答案就是1。如果没有输出0.


分析:n的范围是2~10000,就把这之间的素数全找出来,然后升序算起前n项和,然后暴力打表,搞定~


代码:

#include
#include
#include
#include
#define LL long long
using namespace std;

int a[] =  {0,0,1,1,0,2,0,1,1,0,1,1,1,1,0,1,0,2,1,1,0,0,0,2,1,0,1,0,1,1,1,2,0,0,0,0,2,1,0,1,0,3,
            1,1,0,0,0,1,1,1,0,0,1,2,0,0,1,0,1,2,2,1,0,0,0,0,0,2,1,0,0,2,2,1,0,1,0,1,1,1,0,0,
            0,3,1,0,0,0,1,1,2,0,0,0,0,1,0,2,1,0,2,2,1,1,0,0,0,1,0,2,0,0,2,1,0,0,0,0,0,2,2,1,
            0,0,1,0,0,2,1,1,0,2,1,0,0,0,0,1,2,2,0,0,0,2,1,0,0,0,0,1,1,1,2,0,0,1,1,1,1,1,1,1,
            1,1,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,2,2,0,0,1,0,1,2,0,0,0,1,1,1,0,1,0,3,1,3,0,0,
            1,0,2,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,1,2,1,3,0,0,0,1,2,1,0,0,0,2,0,1,1,0,1,1,3,1,
            0,1,0,0,0,0,0,0,0,3,1,1,0,0,0,1,2,0,0,0,0,2,1,0,0,0,1,2,1,2,1,0,0,0,2,1,0,1,1,3,
            0,1,0,0,0,3,1,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,2,0,1,1,1,0,0,5,0,1,0,0,0,1,1,1,1,0,
            0,2,1,0,1,0,1,1,2,2,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,1,1,2,0,1,1,2,0,0,0,0,1,1,1,0,
            0,1,1,0,0,1,0,0,1,3,2,2,0,0,1,0,0,2,0,1,1,1,2,0,0,0,0,1,2,0,0,0,0,2,1,1,0,1,0,3,
            0,0,0,0,0,1,2,1,2,0,1,0,0,0,0,0,0,1,1,2,0,1,1,1,0,0,0,0,1,2,1,1,2,1,0,0,1,3,1,0,
            1,2,0,0,0,0,0,2,1,0,0,0,0,0,2,2,0,0,1,1,2,2,0,0,0,1,1,0,0,1,1,2,1,0,0,0,0,2,2,0,
            0,0,1,0,0,2,0,0,0,3,2,1,0,0,1,1,0,2,0,1,0,2,0,0,0,0,2,1,3,0,0,0,0,1,0,1,0,1,1,1,
            1,2,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,1,2,1,0,0,0,0,1,1,1,0,0,2,2,1,0,0,1,1,2,2,0,0,
            1,2,1,1,1,0,1,1,0,1,0,0,0,0,2,1,0,0,1,2,1,1,0,0,0,2,0,1,0,0,0,3,1,0,1,0,1,1,1,1,
            0,0,0,0,1,2,0,0,0,1,1,1,0,0,0,2,1,1,2,0,1,0,1,1,0,0,0,1,2,2,0,1,1,2,1,1,1,1,0,1,
            0,1,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,2,3,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,2,0,0,
            2,2,2,0,0,0,0,2,1,2,0,0,0,1,2,0,0,0,1,2,2,0,0,0,0,2,0,1,1,0,2,1,2,0,0,0,0,2,0,1,
            0,0,2,1,1,1,0,0,0,1,2,3,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,2,0,1,0,1,
            2,2,0,0,1,0,1,1,0,1,1,1,2,0,0,0,0,1,2,1,0,0,0,0,2,2,0,2,0,2,0,0,0,0,1,2,1,0,1,0,
            1,3,0,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,2,1,2,1,0,0,2,2,0,0,0,0,2,1,2,
            0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,3,0,1,1,0,0,5,3,0,0,0,0,1,1,0,2,0,1,0,0,1,0,0,1,2,
            1,3,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,0,0,2,2,0,0,0,0,1,1,1,0,0,
            1,1,1,0,1,0,2,2,1,3,0,0,0,1,1,1,0,0,0,3,1,0,0,0,2,2,0,0,0,0,0,2,1,0,0,0,1,0,2,3,
            0,1,2,0,2,1,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,3,0,1,0,0,1,0,3,3,0,0,0,0,0,1,0,0,0,1,
            2,0,0,0,0,0,1,1,0,0,3,1,0,1,0,0,0,2,1,1,0,1,0,2,1,1,0,0,1,1,2,2,0,0,0,0,0,1,2,0,
            0,2,1,0,0,0,0,2,1,1,0,0,1,1,1,1,1,0,3,3,0,2,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,1,
            0,0,2,0,0,1,1,1,1,1,1,1,0,0,0,1,1,3,0,0,0,2,3,0,0,0,0,1,0,0,1,0,2,1,0,1,0,1,2,0,
            0,2,0,0,0,0,0,1,0,0,1,2,1,2,0,0,0,2,2,0,0,0,1,0,0,0,1,0,0,4,2,2,1,0,1,0,0,1,0,1,
            0,2,4,0,0,0,0,2,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,3,0,0,0,0,1,2,2,0,0,1,0,1,1,1,
            0,0,0,0,1,1,1,0,0,2,2,2,1,0,1,1,0,1,1,1,0,2,1,0,0,0,0,2,1,1,0,0,0,0,3,1,0,0,0,0,
            2,0,0,0,0,2,1,2,2,1,0,1,1,0,0,0,0,2,0,0,1,0,1,1,1,1,0,0,0,2,2,0,0,0,1,1,1,1,1,2,
            0,3,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,2,0,0,0,1,0,0,0,1,2,3,0,1,0,0,0,1,4,2,
            1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,2,2,2,0,0,1,1,0,0,0,0,1,3,
            2,0,1,0,1,4,0,1,0,1,0,1,1,0,1,0,0,0,1,3,0,0,0,0,1,0,0,0,0,1,3,0,0,1,1,0,0,1,0,0,
            1,1,1,1,0,0,1,2,1,1,0,0,0,2,0,0,0,0,2,0,1,2,0,0,0,1,2,1,0,0,0,3,1,0,0,0,0,3,0,2,
            0,0,1,0,1,1,0,0,1,1,2,1,0,0,0,1,0,2,1,0,0,1,2,0,0,0,0,0,2,1,1,0,0,2,0,1,2,1,2,1,
            2,2,1,1,0,2,1,1,0,0,0,3,2,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,3,0,0,0,0,1,0,1,1,1,0,
            0,3,3,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,2,0,0,1,0,2,1,0,0,2,3,0,1,0,0,0,2,2,1,
            0,0,1,1,0,1,0,0,2,1,0,0,1,0,1,0,0,2,0,0,0,2,1,1,1,0,2,0,0,2,0,1,0,0,2,1,0,0,0,2,
            0,1,0,0,1,3,0,2,0,1,0,2,0,0,0,0,1,1,2,2,1,0,0,0,2,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,
            0,3,2,2,0,0,0,0,4,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,2,1,1,1,0,0,1,1,0,0,1,0,1,1,1,
            0,0,0,0,0,2,0,1,0,2,2,1,0,0,0,1,0,1,0,0,0,2,2,0,0,1,1,1,3,0,2,1,0,2,2,2,1,0,1,1,
            2,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,2,0,0,1,1,2,3,0,0,0,1,2,1,0,0,
            0,0,2,0,0,0,0,0,1,0,0,0,1,2,0,1,0,1,0,0,0,1,1,0,1,2,3,1,0,2,0,3,1,0,0,0,0,1,1,3,
            1,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,1,0,3,1,0,0,0,1,1,2,2,0,0,1,0,1,1,0,0,0,1,
            0,1,0,0,2,1,2,2,0,2,0,0,4,0,0,0,0,2,0,2,0,0,0,0,1,2,0,1,1,1,2,2,0,0,0,1,1,1,0,0,
            0,0,0,0,0,0,2,2,0,2,0,0,0,2,1,0,0,0,2,3,0,1,0,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,1,
            0,0,1,0,2,0,0,0,2,2,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,2,2,0,4,0,0,0,0,3,0,0,1,2,0,
            0,0,0,0,0,2,0,0,0,1,0,2,2,0,0,0,1,2,2,1,1,1,0,0,1,2,2,0,0,0,0,2,1,1,0,1,1,2,0,0,
            2,1,0,0,1,0,0,0,0,3,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,3,0,1,1,0,2,1,1,1,0,0,1,1,3,0,
            0,0,0,1,1,1,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,2,0,0,1,0,0,1,2,1,0,1,0,2,
            0,2,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,3,2,1,0,0,0,2,0,0,1,0,2,3,2,2,0,0,1,1,0,0,0,0,
            1,1,2,1,0,1,0,2,0,1,2,0,0,0,0,1,0,0,0,2,1,2,1,0,1,1,1,0,0,0,1,1,0,2,1,0,1,0,0,1,
            1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,3,1,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,1,0,
            1,3,0,0,1,1,1,2,0,0,1,2,1,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,1,2,1,0,
            0,1,1,0,1,0,1,1,2,2,1,1,0,0,1,0,0,1,1,0,0,2,0,0,1,3,0,2,0,1,0,2,1,1,1,0,0,0,2,1,
            0,0,0,0,1,2,1,0,0,0,1,1,0,0,1,2,1,0,0,1,0,3,3,1,0,1,1,1,1,2,0,0,0,0,1,0,0,0,0,0,
            1,1,0,0,0,2,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,2,2,0,1,1,2,1,0,0,0,1,3,1,0,0,0,
            0,0,0,0,1,0,1,1,1,1,0,0,2,1,1,1,0,0,2,1,1,2,0,1,1,3,0,1,0,0,1,4,1,0,0,0,1,2,1,0,
            0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,3,0,1,1,0,1,2,1,1,0,1,0,0,1,0,1,0,0,1,3,1,1,0,1,2,
            0,2,0,1,0,1,1,0,1,0,1,0,0,2,1,0,0,2,2,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,2,1,1,2,0,
            0,0,2,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,3,2,1,0,0,0,0,1,0,0,0,0,1,0,2,
            0,1,0,0,1,1,0,0,1,1,0,2,2,0,1,0,0,1,0,0,0,2,0,0,0,0,1,2,1,1,1,0,1,2,3,1,0,0,0,0,
            2,1,1,0,0,2,0,1,0,0,1,2,1,0,0,0,1,3,1,0,2,0,2,0,3,2,1,0,0,1,0,1,0,0,0,1,1,1,0,0,
            1,2,1,1,0,0,0,1,1,0,2,0,0,0,1,1,1,0,1,2,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0,0,1,2,
            0,1,0,0,1,4,1,0,0,1,1,1,0,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,3,1,0,1,0,2,1,2,0,0,0,0,
            1,1,0,0,1,1,1,4,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,3,1,0,0,0,1,1,2,0,0,0,1,1,2,0,0,
            0,0,1,0,0,0,1,1,1,3,0,0,0,1,0,2,0,0,2,1,1,1,0,1,0,2,0,1,0,0,2,1,2,0,0,1,0,2,1,1,
            0,0,2,1,1,1,0,0,1,1,0,1,0,0,1,3,0,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,
            0,1,0,0,1,2,2,0,1,1,1,0,2,1,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,3,0,1,0,2,
            2,1,0,1,0,1,1,1,1,1,0,0,0,0,4,1,0,0,0,1,1,0,1,1,0,4,2,0,0,0,1,1,0,0,0,0,0,2,0,0,
            0,0,0,1,3,1,1,0,1,2,0,0,0,0,0,3,1,0,1,0,0,1,2,1,0,0,0,2,1,1,2,0,2,1,1,1,1,0,0,0,
            1,1,0,1,2,3,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,2,2,0,0,0,3,2,0,0,0,
            0,3,1,1,1,0,2,1,1,2,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,2,0,0,2,0,1,1,1,1,0,1,0,2,1,1,
            0,0,0,1,0,1,0,0,3,1,1,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,3,2,1,1,2,
            0,0,0,0,2,0,1,1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,1,2,2,1,1,2,1,1,2,2,0,0,1,0,1,0,0,
            1,2,0,2,0,2,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,2,0,0,0,0,0,3,1,3,
            0,0,0,1,2,0,0,1,0,0,0,1,0,0,0,3,1,1,0,0,0,0,1,1,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,1,
            2,1,0,0,3,3,1,1,0,0,0,0,1,1,0,0,0,1,1,3,0,0,0,1,0,1,1,1,0,2,1,1,0,1,0,0,4,0,0,0,
            0,1,1,0,0,0,2,2,0,0,0,0,0,1,1,1,0,2,0,1,1,1,0,1,0,0,0,1,0,0,3,0,0,0,0,1,2,0,1,0,
            0,1,0,0,1,2,1,1,2,2,1,2,0,0,1,2,1,1,0,2,0,3,4,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,
            1,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,0,2,3,1,0,0,1,1,0,1,0,1,2,0,0,2,0,0,1,0,2,1,1,2,
            0,2,1,0,0,0,0,2,2,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,3,2,2,1,0,0,2,0,0,0,1,0,1,0,1,
            2,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,2,0,0,0,0,0,2,1,0,1,0,4,2,2,0,0,0,0,2,3,0,0,1,1,
            0,2,0,0,1,1,3,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,2,0,1,2,0,1,1,1,0,0,0,1,
            2,0,2,1,1,1,0,1,1,0,0,0,0,0,2,2,0,0,2,2,1,1,0,1,0,2,0,2,0,0,1,0,1,1,0,0,1,0,1,0,
            0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,2,2,0,0,3,1,0,0,0,0,1,0,1,2,0,1,2,1,3,0,0,0,0,
            0,0,1,0,0,2,2,1,0,0,0,2,1,0,1,0,1,2,0,2,0,1,1,0,0,2,0,0,1,0,0,0,1,0,0,1,1,1,1,2,
            0,0,2,0,0,0,0,0,1,2,0,0,0,0,2,0,1,0,1,2,0,1,0,0,0,2,3,1,2,1,0,2,0,0,0,1,0,0,1,2,
            0,0,1,0,0,2,0,0,1,0,2,1,1,0,0,3,0,0,0,1,0,1,2,0,0,1,1,1,2,2,0,1,2,0,2,2,1,0,0,0,
            0,2,0,0,0,2,0,0,0,0,0,1,2,0,1,0,1,2,0,1,0,0,0,0,1,0,1,1,0,3,0,1,0,0,0,1,1,0,0,0,
            0,2,0,0,0,1,1,0,0,2,0,2,2,0,2,2,1,0,1,2,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,
            0,1,0,0,3,2,2,0,0,1,0,1,0,0,0,0,2,2,0,0,0,0,1,1,2,1,0,0,2,1,0,0,4,1,1,2,0,0,0,2,
            0,0,1,0,0,1,1,1,0,0,0,2,0,0,1,0,1,1,1,1,0,1,0,1,0,2,0,0,3,0,0,2,0,0,0,1,1,1,0,0,
            0,2,1,1,0,0,2,0,1,1,0,0,1,1,0,0,0,0,1,3,1,1,0,1,1,0,1,1,0,2,0,1,1,0,0,1,1,1,0,0,
            1,0,1,1,1,2,0,0,1,2,0,3,1,0,1,0,0,0,0,0,0,2,1,0,0,0,3,1,3,1,0,0,1,1,1,2,0,0,0,1,
            1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,2,2,2,2,0,0,1,0,0,1,0,0,0,3,0,0,0,0,0,1,0,1,0,1,
            1,1,1,2,0,0,1,2,0,1,0,0,1,1,1,2,1,0,0,0,0,1,0,0,1,2,1,1,0,1,1,1,2,0,3,0,0,0,0,0,
            0,0,0,0,1,3,0,0,2,2,0,0,0,0,0,1,0,2,2,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,2,1,1,0,1,1,
            2,1,0,1,1,1,0,1,1,1,1,1,2,0,0,3,1,1,0,1,1,1,1,1,1,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,
            0,1,2,0,0,0,1,1,0,1,0,0,1,1,1,3,0,1,0,2,3,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,
            0,0,1,0,2,0,0,1,0,3,1,3,0,0,0,3,1,2,0,1,0,0,1,0,0,0,0,1,3,2,0,0,0,0,1,0,0,0,0,1,
            1,1,1,0,0,2,0,1,0,0,1,1,2,1,1,0,0,2,0,0,0,0,1,1,0,0,0,0,2,1,2,2,1,0,0,2,0,2,1,0,
            0,0,1,0,0,0,0,1,1,1,1,1,1,0,2,2,0,0,1,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,1,4,1,
            0,0,0,1,0,0,1,0,2,2,0,0,0,0,0,3,1,1,0,1,1,0,2,1,0,2,0,2,2,2,1,0,0,0,0,2,0,0,0,2,
            2,2,1,0,0,1,0,2,0,0,1,2,0,0,0,0,0,2,1,1,0,0,1,1,0,1,1,0,0,2,0,1,0,0,0,0,2,1,3,0,
            0,1,2,0,2,1,0,2,1,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,1,1,1,0,
            0,0,0,2,1,1,1,1,1,1,0,1,0,0,0,3,1,1,2,0,0,0,1,0,0,0,0,1,2,1,0,0,0,1,0,2,0,1,0,3,
            1,3,1,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,2,0,0,0,2,1,0,1,0,0,2,0,0,0,0,
            1,0,0,1,1,0,0,1,2,2,1,0,0,0,1,0,0,1,1,2,0,2,0,0,1,0,2,0,0,0,0,2,2,3,1,0,1,0,0,1,
            0,2,1,0,0,1,2,0,1,3,1,0,0,1,0,2,2,2,0,0,0,1,2,0,0,0,0,2,0,0,0,0,1,0,2,0,2,1,0,2,
            1,1,1,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,2,0,1,2,0,1,3,0,0,0,0,1,1,0,0,0,1,1,2,2,0,
            1,1,0,0,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,1,3,0,0,0,2,3,0,1,1,0,1,1,2,
            0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,3,1,0,0,1,
            1,3,0,0,1,1,0,0,0,0,1,2,0,0,2,0,1,0,2,2,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,3,2,2,1,0,
            0,1,3,1,0,0,0,1,2,2,0,1,0,0,1,1,0,1,1,2,0,1,0,0,1,0,1,1,0,1,1,2,0,0,0,1,0,2,1,1,
            0,0,0,0,0,0,1,0,0,3,0,0,0,0,2,2,1,1,0,0,1,1,1,0,0,1,2,0,1,1,0,0,1,1,1,1,0,0,0,1,
            0,1,0,0,0,0,3,2,0,0,1,2,0,0,2,1,0,0,0,0,0,1,0,3,1,0,2,0,1,2,0,0,0,0,1,0,1,3,0,0,
            1,2,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,1,2,0,0,1,1,2,1,0,0,2,1,0,1,
            1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,3,0,0,0,0,0,0,1,2,1,0,2,1,1,1,0,1,1,0,2,0,0,0,1,2,
            0,1,0,0,0,1,1,1,0,1,0,2,1,0,0,0,1,0,2,1,1,0,0,2,0,2,0,0,0,2,0,0,1,0,0,2,2,1,2,1,
            2,2,0,1,1,0,3,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,2,4,2,
            0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,2,2,0,1,0,0,1,3,1,1,0,0,0,1,4,0,0,0,0,
            0,1,0,0,1,2,0,3,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,0,0,1,1,2,1,0,0,0,1,3,0,0,
            0,1,0,0,0,0,1,3,0,1,0,0,2,0,0,1,1,3,1,3,2,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,2,1,0,
            0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,4,0,0,1,0,3,0,0,0,1,2,1,1,0,0,2,0,1,1,0,0,0,2,
            2,0,0,1,0,1,2,2,0,0,1,1,0,0,1,0,1,1,4,1,0,0,0,2,0,2,1,0,1,0,2,1,0,2,0,2,2,2,0,2,
            0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,2,1,0,0,0,1,1,1,1,0,0,4,1,0,0,0,0,1,2,1,
            0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,2,3,1,0,0,0,0,1,0,0,0,2,1,2,1,1,1,0,0,0,2,1,1,0,0,
            1,1,0,0,0,1,3,1,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,2,1,0,0,2,1,0,2,0,1,0,1,1,0,0,2,
            0,0,0,0,0,0,0,0,3,0,0,1,3,1,0,0,0,1,0,3,2,1,0,1,0,1,0,0,0,0,1,2,1,0,0,1,1,1,1,1,
            0,0,0,0,0,0,0,1,2,1,2,2,0,0,2,1,2,0,1,0,0,2,1,1,0,0,1,2,0,0,0,0,0,0,2,2,0,1,0,0,
            2,1,0,0,0,0,1,1,0,1,1,2,1,0,0,2,0,0,1,1,0,0,1,1,2,2,2,0,1,2,0,0,0,0,0,0,0,1,1,1,
            1,0,0,2,0,0,0,1,1,1,0,0,0,2,2,1,0,0,0,1,1,0,0,0,0,1,1,0,2,0,2,2,0,2,0,0,2,1,0,1,
            1,2,1,0,1,1,0,0,1,0,0,2,0,0,1,1,1,1,0,2,0,1,1,0,0,0,1,1,3,1,1,0,0,1,1,2,0,0,1,1,
            1,1,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,0,3,1,0,0,0,0,1,1,1,0,0,
            1,2,0,0,0,0,0,1,2,1,0,1,0,2,0,0,0,1,1,2,2,1,0,0,0,2,1,0,0,0,1,1,2,0,0,0,1,2,2,2,
            0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,1,2,3,0,0,0,0,0,1,1,1,0,0,0,1,
            1,1,0,0,1,3,2,1,0,1,2,1,0,1,0,1,0,1,3,2,0,0,2,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,
            0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,2,1,2,0,0,2,2,2,2,0,0,0,1,0,0,0,0,2,1,1,2,
            0,0,0,1,0,1,0,0,1,2,1,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,1,2,2,1,0,1,1,1,0,0,0,0,1,0,
            0,3,1,0,0,0,1,1,0,1,1,2,1,0,0,1,1,1,1,2,1,0,1,0,2,0,2,1,0,2,1,0,0,0,1,2,1,1,0,1,
            0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,1,1,0,1,0,3,0,0,1,0,0,2,0,0,
            1,0,1,0,2,1,0,1,4,2,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,2,1,
            1,1,1,0,1,1,0,0,3,0,1,3,0,0,0,0,0,1,1,1,1,1,1,2,2,2,1,0,1,0,0,1,1,1,0,1,0,1,0,0,
            1,2,1,0,0,0,3,3,1,1,0,0,0,2,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,2,1,1,1,1,
            0,0,1,3,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,3,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,2,
            1,1,0,0,0,2,1,0,1,0,2,1,1,0,0,1,1,2,3,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,1,0,1,1,0,
            1,0,1,0,0,0,1,0,2,0,0,0,0,1,0,2,0,2,2,3,0,0,1,0,0,2,0,1,0,0,1,0,1,0,1,0,1,4,1,1,
            0,0,1,0,0,1,0,0,2,2,3,2,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0,2,2,1,0,1,0,0,0,1,0,0,1,0,
            1,2,1,1,0,3,0,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,2,1,3,0,0,2,0,1,3,1,2,
            0,1,0,0,0,0,0,1,3,1,0,0,0,1,0,0,0,0,3,1,0,0,0,0,1,2,2,0,1,0,0,2,1,1,0,1,0,1,0,2,
            0,1,1,0,1,0,1,0,0,2,0,2,0,0,1,1,1,0,0,1,0,1,0,0,3,1,1,1,0,1,0,0,1,2,1,1,1,0,0,1,
            1,2,1,0,0,0,0,1,0,0,2,2,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,
            0,1,2,1,0,0,0,2,1,1,0,1,0,0,1,1,1,1,2,1,0,2,1,0,1,1,2,2,0,2,0,1,0,0,0,0,1,0,1,1,
            0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,3,3,1,0,1,1,1,2,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,
            0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,2,2,2,2,0,0,1,2,0,0,2,2,3,0,1,0,0,0,2,0,0,1,1,
            0,2,0,0,0,0,3,1,3,1,1,1,0,0,2,1,1,0,1,0,0,1,0,0,0,1,0,1,2,0,1,2,0,0,0,0,1,1,2,1,
            0,1,0,0,0,1,1,1,0,1,0,3,0,0,0,1,1,2,2,0,0,0,1,0,0,1,1,2,1,0,0,0,2,1,1,2,0,0,0,1,
            0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,2,2,0,1,0,1,1,0,1,2,1,0,0,0,1,1,2,1,1,0,1,
            0,0,1,2,0,0,2,2,1,1,0,0,0,2,0,1,0,1,0,1,1,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,1,3,2,
            1,0,0,0,0,0,0,1,0,3,1,1,0,0,0,1,0,1,2,1,3,0,4,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,
            0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,2,2,1,0,0,2,0,0,0,2,0,3,0,1,1,0,0,0,1,0,
            0,1,0,0,0,0,2,2,1,1,0,2,0,0,0,2,0,2,2,1,0,0,2,0,0,1,1,3,1,1,0,1,1,0,1,0,0,2,1,1,
            0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0,1,2,0,1,1,1,0,0,1,1,0,0,0,2,0,0,1,0,2,0,2,1,1,
            2,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,2,3,1,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,1,1,0,0,
            1,0,1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,2,0,1,0,0,2,1,1,1,1,1,0,0,0,1,0,0,1,2,1,0,
            0,0,0,0,1,0,0,0,0,1,2,2,0,0,1,1,0,1,0,1,0,0,2,1,1,0,1,2,2,1,1,1,1,0,0,0,1,0,1,2,
            2,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,3,1,1,1,0,0,0,0,1,0,2,0,1,0,2,0,1,0,0,2,0,0,0,
            1,1,1,0,0,0,0,2,0,1,1,2,0,0,0,0,0,0,1,1,0,2,0,1,2,1,1,2,0,0,0,1,0,0,1,0,0,2,0,3,
            1,0,0,1,1,0,0,1,2,0,1,1,0,0,0,1,1,1,2,1,2,1,0,1,0,0,1,1,2,2,0,0,0,0,0,2,1,0,0,2,
            1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,2,2,0,0,1,1,1,1,1,1,0,0,1,2,0,0,0,0,3,2,0,0,0,
            1,1,1,1,0,0,0,1,2,1,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,2,2,2,0,0,0,1,0,1,0,0,1,1,2,1,
            0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,1,1,0,0,1,0,2,1,1,1,1,0,3,1,2,0,0,0,0,0,1,1,0,1,1,
            0,0,0,0,1,0,0,0,1,2,1,3,1,1,0,1,0,2,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,3,0,1,
            1,1,1,0,0,0,2,0,0,1,1,0,1,1,3,2,0,0,1,0,1,0,1,0,0,1,1,1,0,0,2,0,0,1,0,0,1,3,1,1,
            0,1,0,1,0,1,1,0,1,1,1,0,0,0,2,0,0,0,1,1,1,1,2,1,1,1,1,1,0,0,0,1,1,0,2,0,0,0,0,3,
            1,1,1,0,0,1,1,3,1,2,0,0,1,0,2,1,0,1,0,2,0,0,0,0,1,2,0,0,2,3,2,1,0,0,0,0,0,1,1,2,
            0,0,1,2,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,2,1,0,0,2,1,1,2,1,1,0,1,1,1,0,
            0,1,0,1,0,1,0,0,0,2,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,
            0,2,0,0,0,2,1,2,0,1,0,1,2,0,2,1,1,2,0,0,1,0,0,0,1,0,1,0,3,1,1,0,0,0,1,3,0,1,1,1,
            0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,1,0,1,0,1,0,0,2,0,2,1,0,1,3,0,0,1,
            0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,2,1,2,1,0,0,2,0,2,2,1,0,0,0,1,0,0,0,0,2,0,
            1,0,0,1,0,0,2,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,2,2,1,0,2,
            0,0,0,0,1,0,2,3,2,2,0,2,1,0,1,3,3,1,0,1,0,0,0,0,0,1,2,1,0,0,1,2,0,1,0,0,0,0,1,0,
            0,0,2,1,2,0,0,0,0,4,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,3,1,0,0,0,1,0,1,0,2,
            1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,1,1,0,0,0,1,0,1,2,0,1,1,1,0,0,
            2,1,0,1,0,0,2,1,1,0,2,0,0,1,1,1,0,1,1,2,1,0,0,0,1,2,1,2,0,0,0,1,0,2,1,1,1,1,0,2,
            0,1,1,0,0,0,0,0,1,2,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,3,
            1,2,0,0,0,3,0,0,2,1,0,2,1,0,0,0,0,1,0,2,2,0,3,0,0,1,0,1,0,1,0,1,1,0,2,0,0,1,0,1,
            0,2,1,0,0,0,0,3,0,1,1,0,1,0,1,2,1,0,2,0,0,0,1,0,0,0,0,1,0,1,1,2,0,0,1,0,2,0,1,1,
            1,0,1,1,1,3,0,1,0,1,0,1,1,0,0,2,2,3,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,2,1,0,1,1,0,
            0,1,0,0,2,3,0,0,1,0,2,1,1,1,0,0,0,1,2,2,0,0,1,0,0,1,0,0,0,2,0,1,0,0,0,1,2,1,2,0,
            0,2,3,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,3,0,1,1,0,0,2,1,0,
            0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,1,0,1,0,2,2,3,1,0,0,1,0,2,2,0,1,0,1,1,
            1,0,0,0,0,1,2,0,0,1,2,2,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,0,1,1,0,3,1,0,0,1,3,1,0,0,
            1,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,4,0,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,0,
            0,0,1,1,0,1,0,0,2,1,1,1,0,0,1,3,2,0,0,1,1,1,0,1,0,2,0,1,1,1,0,2,3,0,3,0,0,0,2,1,
            0,2,0,1,0,1,0,0,0,0,1,1,1,2,1,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,2,1,0,0,1,1,0,0,0,
            1,1,1,0,0,1,0,1,3,2,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,1,1,1,0,
            0,1,0,2,2,1,2,1,0,1,0,1,0,1,0,3,1,2,0,0,0,0,2,0,0,0,2,3,0,1,0,0,0,0,1,1,1,0,0,3,
            0,0,1,0,0,1,0,2,0,0,0,2,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,2,3,0,1,1,2,3,0,1,0,0,
            0,2,0,0,1,0,0,0,2,2,0,0,1,2,0,0,0,0,2,0,2,1,0,0,2,1,1,0,0,1,4,1,0,0,0,0,0,0,0,3,
            1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,2,1,2,0,0,2,0,0,0,0,0,0,2,1,0,0,1,1,0,1,1,1,2,
            0,1,0,1,0,2,1,2,1,0,0,1,1,0,0,1,0,1,1,2,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,
            0,3,0,0,1,1,0,1,0,1,0,0,2,0,2,0,2,3,1,2,2,1,0,2,2,0,0,3,1,0,1,2,0,1,0,0,0,1,1,0,
            0,0,0,0,1,1,0,0,2,1,1,2,0,0,1,2,1,0,0,1,0,1,2,0,0,0,0,1,1,2,0,0,0,0,1,1,0,1,1,0,
            0,0,0,1,1,0,2,1,0,1,1,2,0,1,1,1,0,0,3,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,
            1,2,0,0,0,0,0,1,0,0,2,1,1,0,0,2,1,0,0,0,1,0,0,1,1,1,1,3,1,0,1,0,0,0,2,1,0,0,0,1,
            0,0,1,0,0,0,0,0,0,2,3,0,0,2,0,1,0,3,0,0,1,2,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,
            0,1,0,0,0,1,2,0,0,0,2,2,0,1,1,0,1,1,3,1,0,2,0,1,0,2,2,0,0,1,1,0,0,1,1,0,0,0,0,0,
            1,1,2,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,2,0,2,0,3,2,0,1,0,1,0,2,2,1,
            0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,2,1,1,0,2,0,1,1,0,2,0,0,2,2,2,1,0,1,0,1,0,0,0,2,0,
            0,1,1,3,0,1,1,2,0,0,2,1,1,1,0,1,0,2,2,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,2,3,2,0,0,
            1,0,0,1,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,3,2,1,1,0,0,0,0,0,1,1,2,0,0,1,
            0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,3,2,2,1,2,0,2,0,0,0,0,0,0,1,1,0,0,0,1,
            1,0,0,1,0,2,1,1,1,0,0,3,0,0,2,1,1,2,1,2,1,0,0,2,2,1,0,1,1,1,2,1,1,0,0,0,0,1,2,0,
            0,0,0,0,0,1,0,1,0,1,1,2,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,2,0,0,0,1,0,0,1,3,
            1,0,2,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,2,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,
            1,1,0,0,1,2,0,0,0,1,0,1,0,1,1,0,2,4,2,1,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,2,0,0,
            0,1,3,0,0,0,0,2,0,1,2,0,0,0,0,0,1,1,1,2,1,1,2,1,0,3,0,0,1,0,0,2,1,0,1,0,2,1,0,0,
            1,1,1,1,0,2,2,1,0,2,1,2,0,2,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,
            2,1,0,1,0,3,0,1,0,0,1,2,0,0,1,1,2,1,1,1,1,0,1,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,
            1,1,2,0,0,0,3,2,1,3,0,0,0,1,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,1,
            1,0,0,0,0,1,1,1,0,3,0,1,0,1,0,2,0,0,1,0,1,0,1,1,0,0,0,1,3,2,0,0,0,1,2,0,0,0,0,2,
            2,2,0,0,2,0,1,1,0,0,2,2,0,1,1,0,2,1,1,0,0,1,0,0,0,1,0,0,1,2,1,2,0,0,0,1,1,1,1,0,
            0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,1,2,1,2,0,0,2,0,2,1,1,0,0,0,0,
            0,0,0,1,0,3,1,1,0,1,0,1,1,0,0,1,0,1,0,1,3,1,0,0,1,0,1,0,2,2,0,1,0,0,1,1,1,0,0,1,
            0,0,0,1,0,2,0,0,0,1,2,2,1,1,0,1,1,0,0,1,1,0,0,0,2,1,2,1,0,1,0,0,0,1,2,1,0,3,1,1,
            0,1,1,0,1,2,1,1,2,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,2,1,0,0,0,0,0,0,1,0,2,0,1,
            1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,3,2,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,2,0,0,0,2,
            1,1,1,1,2,1,1,0,0,0,2,1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,3,1,2,1,1,
            0,2,1,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,3,0,1,1,1,0,0,0,0,0,0,1,0,
            0,1,0,0,0,3,0,0,1,2,0,0,0,1,0,3,2,0,0,0,2,0,0,0,0,0,1,3,0,3,1,0,2,0,1,1,0,1,3,0,
            1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,2,0,2,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,
            0,0,2,0,1,1,0,2,0,0,3,1,1,1,3,2,0,0,0,1,3,2,0,1,0,3,0,0,0,0,1,2,0,0,0,0,1,2,0,0,
            1,2,2,0,2,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,3,
            0,1,1,0,2,1,0,2,1,1,0,1,0,1,0,1,1,2,0,2,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,
            0,0,3,0,0,0,0,0,2,0,0,2,0,1,3,0,0,1,1,2,1,0,2,1,1,1,1,0,1,0,3,0,0,0,1,0,0,0,1,1,
            0,2,0,0,0,1,0,0,1,1,0,1,1,0,1,2,0,1,1,0,0,3,0,1,0,1,0,2,2,2,0,1,0,0,0,0,0,0,0,0,
            0,1,1,0,2,2,1,1,1,0,0,0,1,0,0,2,0,2,1,2,0,0,2,0,0,1,0,1,1,0,1,0,0,0,0,2,1,1,0,0,
            0,0,0,0,0,0,1,1,2,0,1,0,2,1,1,2,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,0,1,1,0,1,
            0,0,0,1,3,0,0,0,0,0,1,2,0,0,1,1,1,1,0,0,0,1,1,0,0,1,3,1,1,1,0,0,1,1,0,1,0,0,1,1,
            0,0,0,1,2,1,2,2,0,0,0,2,1,0,0,1,0,1,0,1,0,0,1,2,0,2,0,0,0,1,1,0,0,0,1,1,0,0,2,0,
            0,1,1,1,0,0,1,2,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,3,1,1,3,1,0,1,1,0,1,0,1,1,3,0,1,
            0,0,1,1,1,0,0,1,2,1,2,1,1,0,0,1,2,2,0,0,0,1,1,2,1,0,1,1,1,2,1,0,0,0,1,0,0,1,2,0,
            0,2,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,0,3,1,0,1,0,2,0,1,2,0,0,0,0,2,1,
            1,1,2,0,0,0,0,2,0,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,3,2,0,0,0,1,0,2,0,1,1,1,1,0,
            0,0,1,0,0,1,2,0,2,2,0,1,1,0,1,0,1,1,1,0,0,2,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,
            1,2,0,0,1,3,1,1,0};
int main(){
    int n;
    while(scanf("%d",&n)&&n){
        printf("%d\n",a[n]);
    }
    return 0;
}


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