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Binary Search for Algortihmic Toolbox
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# Uses python3 | |
import sys | |
import random | |
def binary_search(a, x): | |
left, right = 0, len(a) | |
def linear_search(a, x): | |
for i in range(len(a)): | |
if a[i] == x: | |
return i | |
return -1 | |
def checkInput(n, min, max): | |
if n<min or n>max: | |
return True | |
return False | |
def checkParameters(n, sorted, m, searchNumbers): | |
# check that n and capacity fit the parameters | |
if (n<1 or n>10000): | |
sys.exit(0) | |
if (m<1 or m>10000): | |
sys.exit(0) | |
# check that there are enough elements | |
if n != len(sorted): | |
sys.exit(0) | |
if m != len(searchNumbers): | |
sys.exit(0) | |
# check that the list is sorted in ascending order | |
for i in range(len(sorted)-2): | |
if sorted[i] > sorted[i+1]: | |
sys.exit(0) | |
#check that the values in the arrays fit the parameters | |
for i in range(n): | |
if checkInput(sorted[i], 1, 1000000000): | |
sys.exit(0) | |
for j in range(m): | |
if checkInput(searchNumbers[j], 1, 1000000000): | |
sys.exit(0) | |
def binarySearch(numbers, key, low, high): | |
if high<low: | |
return -1 | |
midpoint = low + (high-low)//2 | |
if key == numbers[midpoint]: | |
return midpoint | |
elif key < numbers[midpoint]: | |
return binarySearch(numbers, key, low, midpoint-1) | |
elif key > numbers[midpoint]: | |
return binarySearch(numbers, key, midpoint+1, high) | |
else: | |
return -1 | |
def stressTest(arraySize, testSize): | |
sampleSequence = random.sample(range(1, arraySize), (arraySize - 1)) | |
sampleSequence.sort() | |
testSequence = random.sample(range(1, testSize), (testSize - 1)) | |
print(sampleSequence) | |
print(testSequence) | |
for key in testSequence: | |
searchResult = binarySearch(sampleSequence, key, 0, (len(sampleSequence)-1)) | |
print(searchResult, end = ' ') | |
print("\n") | |
if __name__ == '__main__': | |
input = sys.stdin.read() | |
data = list(map(int, input.split())) | |
n = data[0] | |
m = data[n + 1] | |
sorted = data[1 : n + 1] | |
searchNumbers = data[n+2:] | |
# checkParameters(n, sorted, m, searchNumbers) | |
for x in searchNumbers: | |
print(binarySearch(sorted, x, 0, (len(sorted)-1)), end = ' ') | |
# | |
# if __name__ == '__main__': | |
# # stress Test | |
# stressTest(int(sys.argv[1]), int(sys.argv[2])) |
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