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Write a program that repeatedly reads two numbers n and k and prints all bit patterns of length n with k ones in descending order (when the bit patterns are considered as binary numbers).
You may assume that 30 ≥ n > 0, 8 > k ≥ 0, and n ≥ k. The first number in the input gives the number of pairs n and k. The numbers n and k are separated by a single space. Leading zeroes in a bit pattern should be included. See the example below.
3 2 1 2 0 4 2
The bit patterns are 10 01 The bit patterns are 00 The bit patterns are 1100 1010 1001 0110 0101 0011