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Advanced · Recursion · 161 of 264

All binary strings

Print every string of 0s and 1s of length n, in increasing order, using recursion.

Input: n (1 to 8). Output: the strings, one per line.

Examples

Input
2
Output
00
01
10
11
Input
1
Output
0
1

One more test checks other inputs when you press Check.

Stuck? The idea behind recursion

A recursive function calls itself on a smaller version of the problem, until it reaches a case small enough to answer directly (the base case).

Trust the smaller call to be right, and only work out how to build this answer from it.

def factorial(n):
    if n == 0:
        return 1
    return n * factorial(n - 1)

print(factorial(5))

Watch for: Without a base case, or if the problem doesn't get smaller, it never stops: Python gives up with a RecursionError.

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