Write a program that reads a basis for numeration and several numbers and prints the sum in base 10 of the digits in base b of each one.
Input
Input consists of the value of b≥ 2 followed by a sequence of natural numbers.
Output
For every number, print the sum (in base 10) of its digits in base b following the format of the examples.
Input
10 29 7 0 1020
Output
29: 11 7: 7 0: 0 1020: 3
Input
4 29 7 0 1020
Output
29: 5 7: 4 0: 0 1020: 12