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1 | 1 | package com.fishercoder.solutions;
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2 | 2 |
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3 |
| -/** |
4 |
| - * 307. Range Sum Query - Mutable |
5 |
| - * |
6 |
| - * Given an integer array nums, find the sum of the elements between indices i and j (i ≤ j), inclusive. |
7 |
| -
|
8 |
| - The update(i, val) function modifies nums by updating the element at index i to val. |
9 |
| - Example: |
10 |
| - Given nums = [1, 3, 5] |
11 |
| -
|
12 |
| - sumRange(0, 2) -> 9 |
13 |
| - update(1, 2) |
14 |
| - sumRange(0, 2) -> 8 |
15 |
| - Note: |
16 |
| - The array is only modifiable by the update function. |
17 |
| - You may assume the number of calls to update and sumRange function is distributed evenly. |
18 |
| - */ |
19 | 3 | public class _307 {
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20 | 4 |
|
21 |
| - public static class Solution1 { |
22 |
| - class NumArray { |
23 |
| - class SegmentTreeNode { |
24 |
| - SegmentTreeNode left; |
25 |
| - SegmentTreeNode right; |
26 |
| - int start; |
27 |
| - int end; |
28 |
| - int sum; |
| 5 | + public static class Solution1 { |
| 6 | + class NumArray { |
| 7 | + class SegmentTreeNode { |
| 8 | + SegmentTreeNode left; |
| 9 | + SegmentTreeNode right; |
| 10 | + int start; |
| 11 | + int end; |
| 12 | + int sum; |
29 | 13 |
|
30 |
| - public SegmentTreeNode(int start, int end) { |
31 |
| - this.start = start; |
32 |
| - this.end = end; |
33 |
| - this.left = null; |
34 |
| - this.right = null; |
35 |
| - this.sum = 0; |
36 |
| - } |
37 |
| - } |
| 14 | + public SegmentTreeNode(int start, int end) { |
| 15 | + this.start = start; |
| 16 | + this.end = end; |
| 17 | + this.left = null; |
| 18 | + this.right = null; |
| 19 | + this.sum = 0; |
| 20 | + } |
| 21 | + } |
38 | 22 |
|
39 |
| - private SegmentTreeNode root = null; |
| 23 | + private SegmentTreeNode root = null; |
40 | 24 |
|
41 |
| - public NumArray(int[] nums) { |
42 |
| - root = buildSegmentTree(nums, 0, nums.length - 1); |
43 |
| - } |
| 25 | + public NumArray(int[] nums) { |
| 26 | + root = buildSegmentTree(nums, 0, nums.length - 1); |
| 27 | + } |
44 | 28 |
|
45 |
| - SegmentTreeNode buildSegmentTree(int[] nums, int start, int end) { |
46 |
| - if (start > end) { |
47 |
| - return null; |
48 |
| - } else { |
49 |
| - SegmentTreeNode root = new SegmentTreeNode(start, end); |
50 |
| - if (start == end) { |
51 |
| - root.sum = nums[start]; |
52 |
| - } else { |
53 |
| - int mid = start + (end - start) / 2; |
54 |
| - root.left = buildSegmentTree(nums, start, mid); |
55 |
| - root.right = buildSegmentTree(nums, mid + 1, end); |
56 |
| - root.sum = root.left.sum + root.right.sum; |
57 |
| - } |
58 |
| - return root; |
59 |
| - } |
60 |
| - } |
| 29 | + SegmentTreeNode buildSegmentTree(int[] nums, int start, int end) { |
| 30 | + if (start > end) { |
| 31 | + return null; |
| 32 | + } else { |
| 33 | + SegmentTreeNode root = new SegmentTreeNode(start, end); |
| 34 | + if (start == end) { |
| 35 | + root.sum = nums[start]; |
| 36 | + } else { |
| 37 | + int mid = start + (end - start) / 2; |
| 38 | + root.left = buildSegmentTree(nums, start, mid); |
| 39 | + root.right = buildSegmentTree(nums, mid + 1, end); |
| 40 | + root.sum = root.left.sum + root.right.sum; |
| 41 | + } |
| 42 | + return root; |
| 43 | + } |
| 44 | + } |
61 | 45 |
|
62 |
| - void update(int i, int val) { |
63 |
| - update(root, i, val); |
64 |
| - } |
| 46 | + void update(int i, int val) { |
| 47 | + update(root, i, val); |
| 48 | + } |
65 | 49 |
|
66 |
| - void update(SegmentTreeNode root, int pos, int val) { |
67 |
| - if (root.start == root.end) { |
68 |
| - root.sum = val; |
69 |
| - } else { |
70 |
| - int mid = root.start + (root.end - root.start) / 2; |
71 |
| - if (pos <= mid) { |
72 |
| - update(root.left, pos, val); |
73 |
| - } else { |
74 |
| - update(root.right, pos, val); |
75 |
| - } |
76 |
| - root.sum = root.left.sum + root.right.sum; |
77 |
| - } |
78 |
| - } |
| 50 | + void update(SegmentTreeNode root, int pos, int val) { |
| 51 | + if (root.start == root.end) { |
| 52 | + root.sum = val; |
| 53 | + } else { |
| 54 | + int mid = root.start + (root.end - root.start) / 2; |
| 55 | + if (pos <= mid) { |
| 56 | + update(root.left, pos, val); |
| 57 | + } else { |
| 58 | + update(root.right, pos, val); |
| 59 | + } |
| 60 | + root.sum = root.left.sum + root.right.sum; |
| 61 | + } |
| 62 | + } |
79 | 63 |
|
80 |
| - public int sumRange(int i, int j) { |
81 |
| - return sumRange(root, i, j); |
82 |
| - } |
| 64 | + public int sumRange(int i, int j) { |
| 65 | + return sumRange(root, i, j); |
| 66 | + } |
83 | 67 |
|
84 |
| - int sumRange(SegmentTreeNode root, int start, int end) { |
85 |
| - if (root.end == end && root.start == start) { |
86 |
| - return root.sum; |
87 |
| - } else { |
88 |
| - int mid = root.start + (root.end - root.start) / 2; |
89 |
| - if (end <= mid) { |
90 |
| - return sumRange(root.left, start, end); |
91 |
| - } else if (start >= mid + 1) { |
92 |
| - return sumRange(root.right, start, end); |
93 |
| - } else { |
94 |
| - return sumRange(root.right, mid + 1, end) + sumRange(root.left, start, mid); |
95 |
| - } |
96 |
| - } |
97 |
| - } |
98 |
| - } |
99 |
| - } |
| 68 | + int sumRange(SegmentTreeNode root, int start, int end) { |
| 69 | + if (root.end == end && root.start == start) { |
| 70 | + return root.sum; |
| 71 | + } else { |
| 72 | + int mid = root.start + (root.end - root.start) / 2; |
| 73 | + if (end <= mid) { |
| 74 | + return sumRange(root.left, start, end); |
| 75 | + } else if (start >= mid + 1) { |
| 76 | + return sumRange(root.right, start, end); |
| 77 | + } else { |
| 78 | + return sumRange(root.right, mid + 1, end) + sumRange(root.left, start, mid); |
| 79 | + } |
| 80 | + } |
| 81 | + } |
| 82 | + } |
| 83 | + } |
100 | 84 | }
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101 | 85 |
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