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| 1 | +package code; |
| 2 | + |
| 3 | +import java.util.Arrays; |
| 4 | + |
| 5 | +/* |
| 6 | + * 324. Wiggle Sort II |
| 7 | + * 题意:小大小大小大 这样排序 |
| 8 | + * 难度:Medium |
| 9 | + * 分类:Sort |
| 10 | + * 思路:先找到中位数,然后一个小于中位数的,一个大于中位数的这样组合 |
| 11 | + * 用 index map 的方式可以使空间也为O(1) |
| 12 | + * Tips:挺难的。 |
| 13 | + */ |
| 14 | +public class lc324 { |
| 15 | + public void wiggleSort(int[] nums) { |
| 16 | + if(nums.length==1) return; |
| 17 | + int n = nums.length, m = (n + 1) >> 1;// (nums.length+1)/2 注意+1 |
| 18 | + int[] copy = Arrays.copyOf(nums, n); |
| 19 | + int median = findMedium(nums, 0, nums.length-1, m); |
| 20 | + |
| 21 | + for (int i = 0, j = 0, k = n - 1; j <= k;) { // <medium的放左边, >在右边 |
| 22 | + if (copy[j] < median) { |
| 23 | + swap(copy, i++, j++); |
| 24 | + } else if (copy[j] > median) { |
| 25 | + swap(copy, j, k--); |
| 26 | + } else { |
| 27 | + j++; |
| 28 | + } |
| 29 | + } |
| 30 | + |
| 31 | + for (int i = m - 1, j = 0; i >= 0; i--, j += 2) nums[j] = copy[i]; //注意这点细节,i--倒着来,防止中位数重复的情况bug |
| 32 | + for (int i = n - 1, j = 1; i >= m; i--, j += 2) nums[j] = copy[i]; |
| 33 | + } |
| 34 | + |
| 35 | + |
| 36 | + |
| 37 | + private int getMiddle(int[] nums, int l, int r) { |
| 38 | + int i = l; |
| 39 | + |
| 40 | + for (int j = l + 1; j <= r; j++) { |
| 41 | + if (nums[j] < nums[l]) swap(nums, ++i, j); |
| 42 | + } |
| 43 | + |
| 44 | + swap(nums, l, i); |
| 45 | + return i; |
| 46 | + } |
| 47 | + |
| 48 | + private void swap(int[] nums, int i, int j) { |
| 49 | + int t = nums[i]; |
| 50 | + nums[i] = nums[j]; |
| 51 | + nums[j] = t; |
| 52 | + } |
| 53 | + |
| 54 | + |
| 55 | + public static int findMedium(int[] nums, int left, int right, int k){ |
| 56 | + int cur = nums[left]; |
| 57 | + int l = left; |
| 58 | + int r = right; |
| 59 | + while(left<right){ |
| 60 | + while( left<right && nums[right]>=nums[left] ) right--; |
| 61 | + int temp = nums[left]; |
| 62 | + nums[left] = nums[right]; |
| 63 | + nums[right] = temp; |
| 64 | + while( left<right && nums[left]<nums[right]) left++; |
| 65 | + temp = nums[left]; |
| 66 | + nums[left] = nums[right]; |
| 67 | + nums[right] = temp; |
| 68 | + } |
| 69 | + if(left==k-1) return nums[left]; |
| 70 | + else if(left>=k) return findMedium(nums, l, right-1, k); |
| 71 | + else return findMedium(nums, right+1, r, k); |
| 72 | + } |
| 73 | + |
| 74 | + public static int newIndex(int index, int n) { |
| 75 | + return (1 + 2*index) % (n | 1); |
| 76 | + } |
| 77 | +} |
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