[LeetCode] 338. Counting Bits

Given a non negative integer number num. For every numbers i in the range 0 ≤ i ≤ num calculate the number of 1’s in their binary representation and return them as an array.
Example:
For num = 5 you should return [0,1,1,2,1,2].
Follow up:
It is very easy to come up with a solution with run time O(n*sizeof(integer)). But can you do it in linear time O(n) /possibly in a single pass?
Space complexity should be O(n).
Can you do it like a boss? Do it without using any builtin function like __builtin_popcount in c++ or in any other language.

思路：

1.空间换时间，先计算出2^0 ~ 2^32 放到数组a待用。
2.将数n与数组a从大到小对比，大于某个a[i]则标记一次，并且n=n-a[i],直到对比完毕，返回标记的总次数。
3.按要求循环执行第二步，并将标记次数用数组形式输出。

Java代码：

public class Solution {    public int[] countBits(int num) {          int[] c = new int[num+1];    long[] preNums=getPreNums();    for(int i = 0; i <= num ; i++){      c[i] = getOne(i,preNums);      System.out.println(c[i]);    }   return c;    }     public static int getOne(int num,long[] preNums){    long temp = num;    int count = 0;    for(int i = 32; temp > 0; i-- ){      if(temp >=  preNums[i]){        temp = temp - preNums[i];        count++;      }    }    return count;  }public static long[] getPreNums(){    long[] a = new long[33];    a[0] = 1;    for(int i = 1; i <= 32; i++){        a[i] = a[i-1] * 2;    }    return a;}}