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1 | 1 | package com.fishercoder.solutions; |
2 | 2 |
|
3 | | -/** |
4 | | - * 162. Find Peak Element |
5 | | -
|
6 | | - A peak element is an element that is greater than its neighbors. |
7 | | -
|
8 | | - Given an input array nums, where nums[i] ≠ nums[i+1], find a peak element and return its index. |
9 | | -
|
10 | | - The array may contain multiple peaks, in that case return the index to any one of the peaks is fine. |
11 | | -
|
12 | | - You may imagine that nums[-1] = nums[n] = -∞. |
13 | | -
|
14 | | - Example 1: |
15 | | - Input: nums = [1,2,3,1] |
16 | | - Output: 2 |
17 | | - Explanation: 3 is a peak element and your function should return the index number 2. |
18 | | -
|
19 | | - Example 2: |
20 | | - Input: nums = [1,2,1,3,5,6,4] |
21 | | - Output: 1 or 5 |
22 | | - Explanation: Your function can return either index number 1 where the peak element is 2, |
23 | | - or index number 5 where the peak element is 6. |
24 | | -
|
25 | | - Note: |
26 | | - Your solution should be in logarithmic complexity. |
27 | | - */ |
28 | | - |
29 | 3 | public class _162 { |
30 | 4 |
|
31 | | - public static class Solution1 { |
32 | | - /** |
33 | | - * credit: https://discuss.leetcode.com/topic/29329/java-solution-and-explanation-using-invariants |
34 | | - * |
35 | | - * Basically, we need to keep this invariant: |
36 | | - * nums[left] > nums[left-1], then we could return left as the result |
37 | | - * or nums[right] > nums[right+1], then we could return right as the result |
38 | | - * |
39 | | - * Time: O(Ologn) |
40 | | - */ |
41 | | - public int findPeakElement(int[] nums) { |
42 | | - if (nums == null || nums.length == 0) { |
43 | | - return 0; |
44 | | - } |
45 | | - int left = 0; |
46 | | - int right = nums.length - 1; |
47 | | - while (left + 1 < right) { |
48 | | - int mid = left + (right - left) / 2; |
49 | | - if (nums[mid] < nums[mid + 1]) { |
50 | | - left = mid; |
51 | | - } else { |
52 | | - right = mid; |
| 5 | + public static class Solution1 { |
| 6 | + /** |
| 7 | + * credit: https://discuss.leetcode.com/topic/29329/java-solution-and-explanation-using-invariants |
| 8 | + * <p> |
| 9 | + * Basically, we need to keep this invariant: |
| 10 | + * nums[left] > nums[left-1], then we could return left as the result |
| 11 | + * or nums[right] > nums[right+1], then we could return right as the result |
| 12 | + * <p> |
| 13 | + * Time: O(logn) |
| 14 | + */ |
| 15 | + public int findPeakElement(int[] nums) { |
| 16 | + if (nums == null || nums.length == 0) { |
| 17 | + return 0; |
| 18 | + } |
| 19 | + int left = 0; |
| 20 | + int right = nums.length - 1; |
| 21 | + while (left + 1 < right) { |
| 22 | + int mid = left + (right - left) / 2; |
| 23 | + if (nums[mid] < nums[mid + 1]) { |
| 24 | + left = mid; |
| 25 | + } else { |
| 26 | + right = mid; |
| 27 | + } |
| 28 | + } |
| 29 | + return (left == nums.length - 1 || nums[left] > nums[left + 1]) ? left : right; |
53 | 30 | } |
54 | | - } |
55 | | - return (left == nums.length - 1 || nums[left] > nums[left + 1]) ? left : right; |
56 | 31 | } |
57 | | - } |
58 | 32 |
|
59 | | - public static class Solution2 { |
60 | | - /** |
61 | | - * My original O(n) solution. |
62 | | - */ |
63 | | - public int findPeakElement(int[] nums) { |
64 | | - if (nums == null || nums.length == 0) { |
65 | | - return 0; |
66 | | - } |
67 | | - int n = nums.length; |
68 | | - int result = 0; |
69 | | - for (int i = 0; i < n; i++) { |
70 | | - if (i == 0 && n > 1 && nums[i] > nums[i + 1]) { |
71 | | - result = i; |
72 | | - break; |
73 | | - } else if (i == n - 1 && i > 0 && nums[i] > nums[i - 1]) { |
74 | | - result = i; |
75 | | - break; |
76 | | - } else if (i > 0 && i < n - 1 && nums[i] > nums[i - 1] && nums[i] > nums[i + 1]) { |
77 | | - result = i; |
78 | | - break; |
| 33 | + public static class Solution2 { |
| 34 | + /** |
| 35 | + * My original O(n) solution. |
| 36 | + */ |
| 37 | + public int findPeakElement(int[] nums) { |
| 38 | + for (int i = 1; i < nums.length; i++) { |
| 39 | + if (nums[i] > nums[i - 1] && i + 1 < nums.length && nums[i] > nums[i + 1]) { |
| 40 | + return i; |
| 41 | + } |
| 42 | + if (i == nums.length - 1 && nums[i] > nums[i - 1]) { |
| 43 | + return i; |
| 44 | + } |
| 45 | + } |
| 46 | + return 0; |
79 | 47 | } |
80 | | - } |
81 | | - return result; |
82 | 48 | } |
83 | | - } |
84 | 49 | } |
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