Created
January 7, 2016 19:56
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visualize binary search ref: http://qiita.com/giwa/items/6b96971eee30f7af8b28
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import random | |
import math | |
def bs_print(elements, low, high, middle): | |
""" | |
visulize binary search process | |
""" | |
es = elements.copy() | |
ms = es[middle] | |
es.insert(high + 1, ']') | |
es.insert(low, '[') | |
formatted_elements = " ".join(map(lambda x: str(x), es)) | |
arrow = [" " * len(str(e)) for e in es] | |
arrow[middle+1] = "I".center(len(arrow[middle+1])) | |
formatted_arrow = " ".join(arrow) | |
print("low: %d, high: %d, middle: %d, x: %d" % (low, high, middle, ms)) | |
print(formatted_elements) | |
print(formatted_arrow) | |
def bsearch(l, x): | |
low = 0 | |
high = len(l) - 1 | |
while low <= high: | |
middle = math.ceil((low + high) / 2) | |
bs_print(l, low, high, middle) | |
if l[middle] == x: | |
return True | |
elif x > l[middle]: | |
low = middle + 1 | |
else: | |
high = middle -1 | |
return False | |
def random_elements(): | |
r = [random.choice([i for i in range(20)]) for r in range(41)] | |
r.sort() | |
return r | |
if bsearch(random_elements(), 6): | |
print("Hit") | |
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low: 0, high: 40, middle: 20, x: 10 | |
[ 0 0 0 1 1 1 2 3 3 3 4 5 6 8 8 8 9 10 10 10 10 10 11 11 12 12 12 12 12 13 13 14 15 15 16 16 16 17 18 19 19 ] | |
I | |
low: 0, high: 19, middle: 10, x: 4 | |
[ 0 0 0 1 1 1 2 3 3 3 4 5 6 8 8 8 9 10 10 10 ] 10 10 11 11 12 12 12 12 12 13 13 14 15 15 16 16 16 17 18 19 19 | |
I | |
low: 11, high: 19, middle: 15, x: 8 | |
0 0 0 1 1 1 2 3 3 3 4 [ 5 6 8 8 8 9 10 10 10 ] 10 10 11 11 12 12 12 12 12 13 13 14 15 15 16 16 16 17 18 19 19 | |
I | |
low: 11, high: 14, middle: 13, x: 8 | |
0 0 0 1 1 1 2 3 3 3 4 [ 5 6 8 8 ] 8 9 10 10 10 10 10 11 11 12 12 12 12 12 13 13 14 15 15 16 16 16 17 18 19 19 | |
I | |
low: 11, high: 12, middle: 12, x: 6 | |
0 0 0 1 1 1 2 3 3 3 4 [ 5 6 ] 8 8 8 9 10 10 10 10 10 11 11 12 12 12 12 12 13 13 14 15 15 16 16 16 17 18 19 19 | |
I | |
Hit |
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