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1 |
| -import java.util.TreeMap; |
| 1 | +// https://leetcode.com/problems/contains-duplicate-iii |
| 2 | +// T: O(N) |
| 3 | +// S: O(N) |
| 4 | + |
| 5 | +import java.util.HashMap; |
| 6 | +import java.util.Map; |
2 | 7 |
|
3 | 8 | public class ContainsDuplicateIII {
|
4 | 9 |
|
5 |
| - public boolean containsNearbyAlmostDuplicate(int[] array, int k, int t) { |
6 |
| - // no memory |
| 10 | + private long getID(long i, long w) { |
| 11 | + return i < 0 ? (i + 1) / w - 1 : i / w; |
| 12 | + } |
| 13 | + |
| 14 | + public boolean containsNearbyAlmostDuplicate(int[] nums, int k, int t) { |
7 | 15 | if (k == 0) return false;
|
8 | 16 |
|
9 |
| - final TreeMap<Long, Integer> elements = new TreeMap<>(); |
10 |
| - for (int i = 0 ; i < array.length ; i++) { |
11 |
| - long lowerBound = (long) array[i] - t; |
12 |
| - long upperBound = (long) array[i] + t; |
13 |
| - long lowerClosest = getClosestOrHigher(elements, lowerBound); |
14 |
| - if (inRange(lowerClosest, lowerBound, upperBound)) return true; |
15 |
| - long upperClosest = getClosestOrLower(elements, upperBound); |
16 |
| - if (inRange(upperClosest, lowerBound, upperBound)) return true; |
17 |
| - if (i >= k) { |
18 |
| - removeFromMap(elements, array[i - k]); |
19 |
| - } |
20 |
| - addToMap(elements, array[i]); |
| 17 | + final Map<Long, Long> buckets = new HashMap<>(); |
| 18 | + final long w = (long) t + 1; |
| 19 | + |
| 20 | + for (int i = 0; i < nums.length; ++i) { |
| 21 | + long m = getID(nums[i], w); |
| 22 | + if (buckets.containsKey(m)) |
| 23 | + return true; |
| 24 | + if (buckets.containsKey(m - 1) && Math.abs(nums[i] - buckets.get(m - 1)) < w) |
| 25 | + return true; |
| 26 | + if (buckets.containsKey(m + 1) && Math.abs(nums[i] - buckets.get(m + 1)) < w) |
| 27 | + return true; |
| 28 | + buckets.put(m, (long)nums[i]); |
| 29 | + if (i >= k) buckets.remove(getID(nums[i - k], w)); |
21 | 30 | }
|
22 | 31 |
|
23 | 32 | return false;
|
24 | 33 | }
|
25 |
| - |
26 |
| - private void removeFromMap(TreeMap<Long, Integer> elements, long val) { |
27 |
| - if (elements.get(val) == 1) { |
28 |
| - elements.remove(val); |
29 |
| - } else { |
30 |
| - elements.put(val, elements.get(val) - 1); |
31 |
| - } |
32 |
| - } |
33 |
| - |
34 |
| - private void addToMap(TreeMap<Long, Integer> elements, long val) { |
35 |
| - elements.put(val, elements.getOrDefault(val, 0) + 1); |
36 |
| - } |
37 |
| - |
38 |
| - private long getClosestOrHigher(TreeMap<Long, Integer> elements, long val) { |
39 |
| - Long lowerClosest = elements.ceilingKey(val); |
40 |
| - return lowerClosest == null ? Long.MAX_VALUE : lowerClosest; |
41 |
| - } |
42 |
| - |
43 |
| - private long getClosestOrLower(TreeMap<Long, Integer> elements, long val) { |
44 |
| - Long upperClosest = elements.floorKey(val); |
45 |
| - return upperClosest == null ? Long.MIN_VALUE : upperClosest; |
46 |
| - } |
47 |
| - |
48 |
| - private boolean inRange(long val, long low, long high) { |
49 |
| - return low <= val && val <= high; |
50 |
| - } |
51 | 34 | }
|
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