Set the Python file maximum line length to 88 characters (#2122)

* flake8 --max-line-length=88

* fixup! Format Python code with psf/black push

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>

blockchain/chinese_remainder_theorem.py

@@ -1,8 +1,9 @@
 # Chinese Remainder Theorem:
 # GCD ( Greatest Common Divisor ) or HCF ( Highest Common Factor )
 
-# If GCD(a,b) = 1, then for any remainder ra modulo a and any remainder rb modulo b there exists integer n,
-# such that n = ra (mod a) and n = ra(mod b).  If n1 and n2 are two such integers, then n1=n2(mod ab)
+# If GCD(a,b) = 1, then for any remainder ra modulo a and any remainder rb modulo b
+# there exists integer n, such that n = ra (mod a) and n = ra(mod b).  If n1 and n2 are
+# two such integers, then n1=n2(mod ab)
 
 # Algorithm :
 

blockchain/diophantine_equation.py

@@ -1,5 +1,6 @@
-# Diophantine Equation : Given integers a,b,c ( at least one of a and b != 0), the diophantine equation
-# a*x + b*y = c has a solution (where x and y are integers) iff gcd(a,b) divides c.
+# Diophantine Equation : Given integers a,b,c ( at least one of a and b != 0), the
+# diophantine equation a*x + b*y = c has a solution (where x and y are integers)
+# iff gcd(a,b) divides c.
 
 # GCD ( Greatest Common Divisor ) or HCF ( Highest Common Factor )
 
@@ -29,8 +30,9 @@ def diophantine(a, b, c):
 
 # Finding All solutions of Diophantine Equations:
 
-# Theorem : Let gcd(a,b) = d, a = d*p, b = d*q. If (x0,y0) is a solution of Diophantine Equation a*x + b*y = c.
-# a*x0 + b*y0 = c, then all the solutions have the form a(x0 + t*q) + b(y0 - t*p) = c, where t is an arbitrary integer.
+# Theorem : Let gcd(a,b) = d, a = d*p, b = d*q. If (x0,y0) is a solution of Diophantine
+# Equation a*x + b*y = c.  a*x0 + b*y0 = c, then all the solutions have the form
+# a(x0 + t*q) + b(y0 - t*p) = c, where t is an arbitrary integer.
 
 # n is the number of solution you want, n = 2 by default
 
@@ -75,8 +77,9 @@ def greatest_common_divisor(a, b):
     >>> greatest_common_divisor(7,5)
     1
 
-    Note : In number theory, two integers a and b are said to be relatively prime, mutually prime, or co-prime
-           if the only positive integer (factor) that divides both of them is 1  i.e., gcd(a,b) = 1.
+    Note : In number theory, two integers a and b are said to be relatively prime,
+           mutually prime, or co-prime if the only positive integer (factor) that
+           divides both of them is 1  i.e., gcd(a,b) = 1.
 
     >>> greatest_common_divisor(121, 11)
     11
@@ -91,7 +94,8 @@ def greatest_common_divisor(a, b):
     return b
 
 
-# Extended Euclid's Algorithm : If d divides a and b and d = a*x + b*y for integers x and y, then d = gcd(a,b)
+# Extended Euclid's Algorithm : If d divides a and b and d = a*x + b*y for integers
+# x and y, then d = gcd(a,b)
 
 
 def extended_gcd(a, b):

blockchain/modular_division.py

@@ -3,8 +3,8 @@
 
 # GCD ( Greatest Common Divisor ) or HCF ( Highest Common Factor )
 
-# Given three integers a, b, and n, such that gcd(a,n)=1 and n>1, the algorithm should return an integer x such that
-#        0≤x≤n−1, and  b/a=x(modn) (that is, b=ax(modn)).
+# Given three integers a, b, and n, such that gcd(a,n)=1 and n>1, the algorithm should
+# return an integer x such that 0≤x≤n−1, and  b/a=x(modn) (that is, b=ax(modn)).
 
 # Theorem:
 # a has a multiplicative inverse modulo n iff gcd(a,n) = 1
@@ -68,7 +68,8 @@ def modular_division2(a, b, n):
     return x
 
 
-# Extended Euclid's Algorithm : If d divides a and b and d = a*x + b*y for integers x and y, then d = gcd(a,b)
+# Extended Euclid's Algorithm : If d divides a and b and d = a*x + b*y for integers x
+# and y, then d = gcd(a,b)
 
 
 def extended_gcd(a, b):
@@ -123,8 +124,9 @@ def greatest_common_divisor(a, b):
     >>> greatest_common_divisor(7,5)
     1
 
-    Note : In number theory, two integers a and b are said to be relatively prime, mutually prime, or co-prime
-           if the only positive integer (factor) that divides both of them is 1  i.e., gcd(a,b) = 1.
+    Note : In number theory, two integers a and b are said to be relatively prime,
+        mutually prime, or co-prime if the only positive integer (factor) that divides
+        both of them is 1  i.e., gcd(a,b) = 1.
 
     >>> greatest_common_divisor(121, 11)
     11