#### Quine Mc Cluskey

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M
p
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and 5 more contributors
```from __future__ import annotations

from collections.abc import Sequence
from typing import Literal

def compare_string(string1: str, string2: str) -> str | Literal[False]:
"""
>>> compare_string('0010','0110')
'0_10'

>>> compare_string('0110','1101')
False
"""
list1 = list(string1)
list2 = list(string2)
count = 0
for i in range(len(list1)):
if list1[i] != list2[i]:
count += 1
list1[i] = "_"
if count > 1:
return False
else:
return "".join(list1)

def check(binary: list[str]) -> list[str]:
"""
>>> check(['0.00.01.5'])
['0.00.01.5']
"""
pi = []
while True:
check1 = ["\$"] * len(binary)
temp = []
for i in range(len(binary)):
for j in range(i + 1, len(binary)):
k = compare_string(binary[i], binary[j])
if k is False:
check1[i] = "*"
check1[j] = "*"
temp.append("X")
for i in range(len(binary)):
if check1[i] == "\$":
pi.append(binary[i])
if len(temp) == 0:
return pi
binary = list(set(temp))

def decimal_to_binary(no_of_variable: int, minterms: Sequence[float]) -> list[str]:
"""
>>> decimal_to_binary(3,[1.5])
['0.00.01.5']
"""
temp = []
for minterm in minterms:
string = ""
for _ in range(no_of_variable):
string = str(minterm % 2) + string
minterm //= 2
temp.append(string)
return temp

def is_for_table(string1: str, string2: str, count: int) -> bool:
"""
>>> is_for_table('__1','011',2)
True

>>> is_for_table('01_','001',1)
False
"""
list1 = list(string1)
list2 = list(string2)
count_n = 0
for i in range(len(list1)):
if list1[i] != list2[i]:
count_n += 1
return count_n == count

def selection(chart: list[list[int]], prime_implicants: list[str]) -> list[str]:
"""
>>> selection([[1]],['0.00.01.5'])
['0.00.01.5']

>>> selection([[1]],['0.00.01.5'])
['0.00.01.5']
"""
temp = []
select = [0] * len(chart)
for i in range(len(chart[0])):
count = 0
rem = -1
for j in range(len(chart)):
if chart[j][i] == 1:
count += 1
rem = j
if count == 1:
select[rem] = 1
for i in range(len(select)):
if select[i] == 1:
for j in range(len(chart[0])):
if chart[i][j] == 1:
for k in range(len(chart)):
chart[k][j] = 0
temp.append(prime_implicants[i])
while True:
max_n = 0
rem = -1
count_n = 0
for i in range(len(chart)):
count_n = chart[i].count(1)
if count_n > max_n:
max_n = count_n
rem = i

if max_n == 0:
return temp

temp.append(prime_implicants[rem])

for i in range(len(chart[0])):
if chart[rem][i] == 1:
for j in range(len(chart)):
chart[j][i] = 0

def prime_implicant_chart(
prime_implicants: list[str], binary: list[str]
) -> list[list[int]]:
"""
>>> prime_implicant_chart(['0.00.01.5'],['0.00.01.5'])
[[1]]
"""
chart = [[0 for x in range(len(binary))] for x in range(len(prime_implicants))]
for i in range(len(prime_implicants)):
count = prime_implicants[i].count("_")
for j in range(len(binary)):
if is_for_table(prime_implicants[i], binary[j], count):
chart[i][j] = 1

return chart

def main() -> None:
no_of_variable = int(input("Enter the no. of variables\n"))
minterms = [
float(x)
for x in input(
"Enter the decimal representation of Minterms 'Spaces Separated'\n"
).split()
]
binary = decimal_to_binary(no_of_variable, minterms)

prime_implicants = check(binary)
print("Prime Implicants are:")
print(prime_implicants)
chart = prime_implicant_chart(prime_implicants, binary)

essential_prime_implicants = selection(chart, prime_implicants)
print("Essential Prime Implicants are:")
print(essential_prime_implicants)

if __name__ == "__main__":
import doctest

doctest.testmod()
main()
```