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82134657109111214130 64141325335143538472939597966 Binary Search lo Binary search. Given a key and sorted array a[], find index i such that a[i] = key, or report that no such index exists. Invariant. Algorithm maintains a[lo] key a[hi]. Ex. Binary search for 33. hi

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Binary Search Binary search. Given a key and sorted array a[], find index i such that a[i] = key, or report that no such index exists. Invariant. Algorithm maintains a[lo] key a[hi]. Ex. Binary search for 33. 82134657109111214130 64141325335143538472939597966 lo hi mid

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Binary Search Binary search. Given a key and sorted array a[], find index i such that a[i] = key, or report that no such index exists. Invariant. Algorithm maintains a[lo] key a[hi]. Ex. Binary search for 33. 82134657109111214130 64141325335143538472939597966 lo hi

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Binary Search Binary search. Given a key and sorted array a[], find index i such that a[i] = key, or report that no such index exists. Invariant. Algorithm maintains a[lo] key a[hi]. Ex. Binary search for 33. 82134657109111214130 64141325335143538472939597966 lo midhi

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Binary Search Binary search. Given a key and sorted array a[], find index i such that a[i] = key, or report that no such index exists. Invariant. Algorithm maintains a[lo] key a[hi]. Ex. Binary search for 33. 82134657109111214130 64141325335143538472939597966 lohi

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Binary Search Binary search. Given a key and sorted array a[], find index i such that a[i] = key, or report that no such index exists. Invariant. Algorithm maintains a[lo] key a[hi]. Ex. Binary search for 33. 82134657109111214130 64141325335143538472939597966 lohimid

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Binary Search Binary search. Given a key and sorted array a[], find index i such that a[i] = key, or report that no such index exists. Invariant. Algorithm maintains a[lo] key a[hi]. Ex. Binary search for 33. 82134657109111214130 64141325335143538472939597966 lo hi

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Binary Search Binary search. Given a key and sorted array a[], find index i such that a[i] = key, or report that no such index exists. Invariant. Algorithm maintains a[lo] key a[hi]. Ex. Binary search for 33. 82134657109111214130 64141325335143538472939597966 lo hi mid

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Binary Search Binary search. Given a key and sorted array a[], find index i such that a[i] = key, or report that no such index exists. Invariant. Algorithm maintains a[lo] key a[hi]. Ex. Binary search for 33. 82134657109111214130 64141325335143538472939597966 lo hi mid

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Binary Search Visualization. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 40 41 45 46 48 50 2 5 9 14 17 23 24 3353 57 62 66 71 72 76 80 i j.

Binary Search Visualization. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 40 41 45 46 48 50 2 5 9 14 17 23 24 3353 57 62 66 71 72 76 80 i j.

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