N bit binary numbers
Detailed guide and Python implementation for the 'N bit binary numbers' problem.
Problem Statement
Write a function n_bit_binary(n) that generates all n-bit binary numbers (as strings) such that in every prefix of the binary string, the number of 1s is greater than or equal to the number of 0s. Return the result as a sorted list of strings in lexicographic order.
- •1 <= n <= 15
Examples
n = 3
['110', '111']
For '110': prefixes '1'(1>=0✓), '11'(2>=0✓), '110'(2>=1✓). For '111': all prefixes have more 1s. '100','101','010' etc. fail the prefix condition.
n = 2
['10', '11']
'10': prefix '1' has 1>=0✓, '10' has 1>=1✓. '11': both prefixes valid. '00','01' fail.
n = 1
['1']
Only '1' satisfies the condition. '0' has prefix '0' with 0 ones and 1 zero.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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