# 1062 - Divisibility

Time Limit: 1s Memory Limit: 128MB

Submissions: 32 Solved: 15
Description
On the planet Zoop, numbers are represented in base 62, using the digits 0, 1, . . . , 9, A, B, . . . , Z, a, b, . . . , z where A (base 62) = 10 (base 10) B (base 62) = 11 (base 10) . . . z (base 62) = 61 (base 10). Given the digit representation of a number x in base 62, your goal is to determine if x is divisible by 61.
Input
The input test file will contain multiple cases. Each test case will be given by a single string containing only the digits ‘0’ through ‘9’, the uppercase letters ‘A’ through ‘Z’, and the lowercase letters ’a’ through ’z’. All strings will have a length of between 1 and 10000 characters, inclusive. The end-of-input is denoted by a single line containing the word “end”, which should not be processed.
Output
For each test case, print “yes” if the number is divisible by 61, and “no” otherwise.
Sample Input
```1v3
2P6
IsThisDivisible
end
```
Sample Output
```yes
no
no
```
Hint
In the first example, 1v3 = 1 × 622 + 57 × 62 + 3 = 7381, which is divisible by 61. In the second example, 2P6 = 2 × 622 + 25 × 62 + 6 = 9244, which is not divisible by 61.
Source
Stanford Local 2007