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1 | 1 | /**
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2 | 2 | * Note: Array must be sorted for ternary search
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3 |
| - * Complexity: |
| 3 | + * Complexity: |
4 | 4 | * Worst case time complexity: O(log N)
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5 | 5 | * Average case time complexity: O(log N)
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6 | 6 | * Best case time complexity: O(1)
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7 | 7 | * Space complexity: O(1)
|
8 | 8 | */
|
9 |
| -function ternarySearch(arr, key){ |
10 |
| - let low = 0; |
11 |
| - let high = arr.length - 1; |
12 |
| - while(low <= high){ |
13 |
| - let lowMiddle = low + Math.floor((high - low) / 3); |
14 |
| - let highMiddle = low + 2 * Math.floor((high - low) / 3); |
15 |
| - if(key == arr[low]){ |
16 |
| - return low; |
17 |
| - } else if(key == arr[high]){ |
18 |
| - return high; |
19 |
| - } else if(key <= arr[lowMiddle]){ |
20 |
| - high = lowMiddle; |
21 |
| - } else if(key > arr[lowMiddle] && key <= arr[highMiddle]){ |
22 |
| - low = lowMiddle + 1; |
23 |
| - high = highMiddle; |
24 |
| - } else { |
25 |
| - low = highMiddle + 1; |
26 |
| - } |
| 9 | +function ternarySearch(arr, key) { |
| 10 | + let low = 0; |
| 11 | + let high = arr.length - 1; |
| 12 | + while (low <= high) { |
| 13 | + const lowMiddle = low + Math.floor((high - low) / 3); |
| 14 | + const highMiddle = low + 2 * Math.floor((high - low) / 3); |
| 15 | + if (key === arr[low]) { |
| 16 | + return low; |
| 17 | + } if (key === arr[high]) { |
| 18 | + return high; |
| 19 | + } if (key <= arr[lowMiddle]) { |
| 20 | + high = lowMiddle; |
| 21 | + } else if (key > arr[lowMiddle] && key <= arr[highMiddle]) { |
| 22 | + low = lowMiddle + 1; |
| 23 | + high = highMiddle; |
| 24 | + } else { |
| 25 | + low = highMiddle + 1; |
27 | 26 | }
|
28 |
| - return null; |
| 27 | + } |
| 28 | + return null; |
29 | 29 | }
|
30 | 30 |
|
31 |
| -function ternarySearchRecursive(arr, low, high, key){ |
32 |
| - if(high >= low){ |
33 |
| - let highMiddle = low + 2 * Math.floor((high - low) / 3); |
34 |
| - let lowMiddle = low + Math.floor((high - low) / 3); |
35 |
| - if(key === arr[lowMiddle]){ |
36 |
| - return lowMiddle; |
37 |
| - } else if(key === arr[highMiddle]){ |
38 |
| - return highMiddle; |
39 |
| - } else if(key < arr[lowMiddle]){ |
40 |
| - return ternarySearchRecursive(arr, low, lowMiddle - 1, key); |
41 |
| - } else if(key > arr[lowMiddle] && key < arr[highMiddle]){ |
42 |
| - return ternarySearchRecursive(arr, lowMiddle + 1, highMiddle - 1, key); |
43 |
| - } else { |
44 |
| - return ternarySearchRecursive(arr, highMiddle + 1, high, key); |
45 |
| - } |
46 |
| - } |
47 |
| - return null; |
| 31 | +function ternarySearchRecursive(arr, low, high, key) { |
| 32 | + if (high >= low) { |
| 33 | + const highMiddle = low + 2 * Math.floor((high - low) / 3); |
| 34 | + const lowMiddle = low + Math.floor((high - low) / 3); |
| 35 | + if (key === arr[lowMiddle]) { |
| 36 | + return lowMiddle; |
| 37 | + } if (key === arr[highMiddle]) { |
| 38 | + return highMiddle; |
| 39 | + } if (key < arr[lowMiddle]) { |
| 40 | + return ternarySearchRecursive(arr, low, lowMiddle - 1, key); |
| 41 | + } if (key > arr[lowMiddle] && key < arr[highMiddle]) { |
| 42 | + return ternarySearchRecursive(arr, lowMiddle + 1, highMiddle - 1, key); |
| 43 | + } |
| 44 | + return ternarySearchRecursive(arr, highMiddle + 1, high, key); |
| 45 | + } |
| 46 | + return null; |
48 | 47 | }
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49 | 48 |
|
50 | 49 | module.exports = {
|
51 |
| - ternarySearch, |
52 |
| - ternarySearchRecursive |
| 50 | + ternarySearch, |
| 51 | + ternarySearchRecursive, |
53 | 52 | };
|
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