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num: 1 binary: 00000001
num: 2 binary: 00000010
num: 3 binary: 00000011
num: 4 binary: 00000100
num: 5 binary: 00000101
num: 6 binary: 00000110
num: 7 binary: 00000111
num: 8 binary: 00001000
num: 9 binary: 00001001
num: 10 binary: 00001010
num: 11 binary: 00001011
num: 12 binary: 00001100
num: 13 binary: 00001101
num: 14 binary: 00001110
num: 15 binary: 00001111
Define f(n) number of 1s in binary presentation for n
for number 2^i<= n < 2^(i-1)
f(n) = 1 + f(n % 2^i)
Example Solution
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https://github.com/Sylvia-YiyinShen/Algorithm/blob/master/DynamicProgramming/Q338CountingBits.playground/Contents.swift
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