问题描述:给定一个有序序列,找到指定元素的起始和结束位置。例如:1234555,5,起始4结束6

算法分析:其实就是一个二分查找的利用。但是特殊就在不是找到某个元素,而是找到下标。也就是在nums[mid]=target时,要分析mid的左右元素。

  1. public int[] searchRange(int[] nums, int target)
  2. {
  3. if(nums == null || nums.length == 0)
  4. {
  5. return null;
  6. }
  7. int[] arr = {-1,-1};
  8. binarySearch(nums, 0, nums.length - 1, target, arr);
  9. return arr;
  10. }
  11.  
  12. public void binarySearch(int[] nums, int left, int right, int target, int[] arr)
  13. {
  14. int mid = (left + right)/2;
  15. if(left > right)
  16. {
  17. return;
  18. }
  19. if(nums[left] == target && nums[right] == target)//特例
  20. {
  21. arr[0] = left;
  22. arr[1] = right;
  23. return;
  24. }
  25. if(nums[mid] == target)
  26. {
  27. int templ = mid, tempr = mid;
  28. while(templ>=left && nums[templ]==target)
  29. {
  30. templ --;
  31. }
  32. arr[0] = templ+1;
  33. while(tempr<=right && nums[tempr]==target)
  34. {
  35. tempr ++;
  36. }
  37. arr[1] = tempr-1;
  38. }
  39. else if(nums[mid] < target)
  40. {
  41. binarySearch(nums, mid + 1, right, target, arr);
  42. }
  43. else
  44. {
  45. binarySearch(nums, left, mid - 1, target, arr);
  46. }
  47. }

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