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| 1 | +# given a collection of numbers, find the pair |
| 2 | +# of numbers that sum to a given number |
| 3 | + |
| 4 | + |
| 5 | + |
| 6 | +def bs(array, desired_num): |
| 7 | + |
| 8 | + start = 0 |
| 9 | + end = len(array) |
| 10 | + mid = (end - start) // 2 |
| 11 | + |
| 12 | + while len(array) > 0: |
| 13 | + if array[mid] == desired_num: |
| 14 | + return True |
| 15 | + elif array[mid] > desired_num: |
| 16 | + return bs(array[mid+1:], desired_num) |
| 17 | + else: |
| 18 | + return bs(array[:mid], desired_num) |
| 19 | + |
| 20 | + return False |
| 21 | + |
| 22 | + |
| 23 | +def find_pairs_bs(array, desired_sum): |
| 24 | + |
| 25 | + for i in range(len(array)): |
| 26 | + num1 = array[i] |
| 27 | + desired_num = desired_sum - num1 |
| 28 | + if bs(array[i + 1:], desired_num) == True: |
| 29 | + return (num1, desired_num) |
| 30 | + |
| 31 | + return False |
| 32 | + |
| 33 | + |
| 34 | +def find_pairs_max_sum(array, desired_sum): |
| 35 | + |
| 36 | + i, j = 0, len(array) - 1 |
| 37 | + |
| 38 | + while i < j: |
| 39 | + if array[i] + array[j] == desired_sum: |
| 40 | + return array[i], array[j] |
| 41 | + elif array[i] + array[j] > desired_sum: |
| 42 | + j = j - 1 |
| 43 | + elif array[i] + array[j] < desired_sum: |
| 44 | + i = i + 1 |
| 45 | + |
| 46 | + return False |
| 47 | + |
| 48 | +def find_pairs_not_sorted(array, desired_sum): |
| 49 | + |
| 50 | + lookup = {} |
| 51 | + |
| 52 | + for item in array: |
| 53 | + key = desired_sum - item |
| 54 | + |
| 55 | + if key in lookup.keys(): |
| 56 | + lookup[key] += 1 |
| 57 | + else: |
| 58 | + lookup[key] = 1 |
| 59 | + |
| 60 | + for item in array: |
| 61 | + key = desired_sum - item |
| 62 | + |
| 63 | + if item in lookup.keys(): |
| 64 | + if lookup[item] == 1: |
| 65 | + return (item, key) |
| 66 | + else: |
| 67 | + lookup[item] -= 1 |
| 68 | + |
| 69 | + return False |
| 70 | + |
| 71 | + |
| 72 | + |
| 73 | +if __name__ == "__main__": |
| 74 | + |
| 75 | + desired_sum = 8 |
| 76 | + array1 = [1, 2, 3, 9] |
| 77 | + array2 = [1, 2, 4, 5, 4] |
| 78 | + array3 = [2, 1, 6, 3, 11, 2] |
| 79 | + |
| 80 | + assert(find_pairs_bs(array1, desired_sum) == False) |
| 81 | + assert(find_pairs_bs(array2, desired_sum) == (4, 4)) |
| 82 | + assert(find_pairs_max_sum(array1, desired_sum) == False) |
| 83 | + assert(find_pairs_max_sum(array2, desired_sum) == (4,4)) |
| 84 | + assert(find_pairs_not_sorted(array1, desired_sum) == False) |
| 85 | + assert(find_pairs_not_sorted(array2, desired_sum) == (4, 4)) |
| 86 | + assert(find_pairs_not_sorted(array3, desired_sum) == (2, 6)) |
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