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1 | 1 | package g0301_0400.s0373_find_k_pairs_with_smallest_sums; |
2 | 2 |
|
3 | 3 | // #Medium #Array #Heap_Priority_Queue #Top_Interview_150_Heap |
4 | | -// #2025_03_09_Time_0_ms_(100.00%)_Space_57.66_MB_(90.88%) |
| 4 | +// #2025_03_09_Time_27_ms_(90.23%)_Space_58.22_MB_(77.32%) |
5 | 5 |
|
6 | | -import java.util.AbstractList; |
7 | 6 | import java.util.ArrayList; |
8 | | -import java.util.Arrays; |
9 | 7 | import java.util.List; |
| 8 | +import java.util.PriorityQueue; |
10 | 9 |
|
11 | 10 | public class Solution { |
12 | | - public List<List<Integer>> kSmallestPairs(int[] nums1, int[] nums2, int k) { |
13 | | - return new AbstractList<List<Integer>>() { |
14 | | - private List<List<Integer>> pairs; |
15 | | - |
16 | | - @Override |
17 | | - public List<Integer> get(int index) { |
18 | | - init(); |
19 | | - return pairs.get(index); |
20 | | - } |
21 | | - |
22 | | - @Override |
23 | | - public int size() { |
24 | | - init(); |
25 | | - return pairs.size(); |
26 | | - } |
27 | | - |
28 | | - private void load() { |
29 | | - int n = nums1.length; |
30 | | - int m = nums2.length; |
31 | | - int left = nums1[0] + nums2[0]; |
32 | | - int right = nums1[n - 1] + nums2[m - 1]; |
33 | | - int middle; |
34 | | - |
35 | | - while (left <= right) { |
36 | | - middle = (left + right) / 2; |
37 | | - long count = getCount(nums1, nums2, middle, k); |
38 | | - if (count < k) { |
39 | | - left = middle + 1; |
40 | | - } else if (count > k) { |
41 | | - right = middle - 1; |
42 | | - } else { |
43 | | - left = middle; |
44 | | - break; |
45 | | - } |
46 | | - } |
47 | | - getPairs(nums1, nums2, left, k); |
48 | | - } |
49 | | - |
50 | | - private long getCount(int[] nums1, int[] nums2, int goal, int k) { |
51 | | - int prevRight = nums2.length - 1; |
52 | | - int count = 0; |
53 | | - |
54 | | - for (int i = 0; i < nums1.length && nums1[i] + nums2[0] <= goal; i++) { |
55 | | - int left = 0; |
56 | | - int right = prevRight; |
57 | | - int position = -1; |
58 | | - while (left <= right) { |
59 | | - int middle = (right + left) / 2; |
60 | | - int sum = nums1[i] + nums2[middle]; |
61 | | - if (sum <= goal) { |
62 | | - position = middle; |
63 | | - left = middle + 1; |
64 | | - } else { |
65 | | - right = middle - 1; |
66 | | - } |
67 | | - } |
68 | | - if (position >= 0) { |
69 | | - count += position + 1; |
70 | | - prevRight = position; |
71 | | - } |
72 | | - if (count > k) { |
73 | | - return count; |
74 | | - } |
75 | | - } |
76 | | - return count; |
77 | | - } |
78 | | - |
79 | | - private void getPairs(int[] nums1, int[] nums2, int sum, int k) { |
80 | | - pairs = new ArrayList<>(); |
81 | | - for (int item : nums1) { |
82 | | - for (int j = 0; j < nums2.length && item + nums2[j] < sum; j++) { |
83 | | - pairs.add(Arrays.asList(item, nums2[j])); |
84 | | - } |
85 | | - } |
86 | | - for (int value : nums1) { |
87 | | - for (int j = 0; |
88 | | - j < nums2.length && value + nums2[j] <= sum && pairs.size() < k; |
89 | | - j++) { |
90 | | - if (value + nums2[j] == sum) { |
91 | | - pairs.add(Arrays.asList(value, nums2[j])); |
92 | | - } |
93 | | - } |
94 | | - } |
95 | | - } |
| 11 | + private static class Node { |
| 12 | + long sum; |
| 13 | + List<Integer> al; |
| 14 | + int index; |
| 15 | + |
| 16 | + Node(int index, int num1, int num2) { |
| 17 | + this.sum = (long) num1 + (long) num2; |
| 18 | + this.al = new ArrayList<>(); |
| 19 | + this.al.add(num1); |
| 20 | + this.al.add(num2); |
| 21 | + this.index = index; |
| 22 | + } |
| 23 | + } |
96 | 24 |
|
97 | | - public void init() { |
98 | | - if (null == pairs) { |
99 | | - load(); |
100 | | - } |
| 25 | + public List<List<Integer>> kSmallestPairs(int[] nums1, int[] nums2, int k) { |
| 26 | + PriorityQueue<Node> queue = new PriorityQueue<>((a, b) -> a.sum < b.sum ? -1 : 1); |
| 27 | + List<List<Integer>> res = new ArrayList<>(); |
| 28 | + for (int i = 0; i < nums1.length && i < k; i++) { |
| 29 | + queue.add(new Node(0, nums1[i], nums2[0])); |
| 30 | + } |
| 31 | + for (int i = 1; i <= k && !queue.isEmpty(); i++) { |
| 32 | + Node cur = queue.poll(); |
| 33 | + res.add(cur.al); |
| 34 | + int next = cur.index; |
| 35 | + int lastNum1 = cur.al.get(0); |
| 36 | + if (next + 1 < nums2.length) { |
| 37 | + queue.add(new Node(next + 1, lastNum1, nums2[next + 1])); |
101 | 38 | } |
102 | | - }; |
| 39 | + } |
| 40 | + return res; |
103 | 41 | } |
104 | 42 | } |
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