ReOrder Array

update Feb 16,2018 16:45

Given an array of elements, reorder it as follow:

{ N1, N2, N3, …, N2k } → { N1, Nk+1, N2, Nk+2, N3, Nk+3, … , Nk, N2k }

{ N1, N2, N3, …, N2k+1 } → { N1, Nk+1, N2, Nk+2, N3, Nk+3, … , Nk, N2k, N2k+1 }

Try to do it in place.

Assumptions

The given array is not null

Examples

{ 1, 2, 3, 4, 5, 6} → { 1, 4, 2, 5, 3, 6 }

{ 1, 2, 3, 4, 5, 6, 7, 8 } → { 1, 5, 2, 6, 3, 7, 4, 8 }

{ 1, 2, 3, 4, 5, 6, 7 } → { 1, 4, 2, 5, 3, 6, 7 }

Basic Idea:

• 思路 1：O(n) space

  这种思路非常简单，用两个指针分别从 0 和 len/2 的位置开始向右扫描，将结果按顺序存入 ret 数组中返回即可。

  • Java Code:

      public class Solution {
        public int[] reorder(int[] array) {
          if (array == null || array.length < 4) return array; 
          int[] ret = new int[array.length];
          int i = 0, j = array.length / 2;
          while (i < array.length / 2) {
            ret[2 * i] = array[i];
            ret[2 * i + 1] = array[j];
            i++;
            j++;
          }
          if (j < array.length) ret[ret.length - 1] = array[array.length - 1];
          return ret;
        }
      }
    

• 思路 2：逆向merge，inplace