x = input('Enter first integer:')
x = float(x)        #this converts a string into a floating number
x = int(x)          #this truncates a floating number into an integer
y = input('Enter second integer:')
y = float(y)        #this converts a string into a floating number
y = int(y)          #this truncates a floating number into an integer
print('The sum of',x,'and',y,'is',x,'+',y,'=',x+y)
print(x,'minus',y,'gives',x,'-',y,'=',x-y)
print('The product of',x,'and',y,'is',x,'*',y,'=',x*y)
print('The quotient when',x,'is divided by',y,'is',x,'/',y,'=',x/y)
print('The remainder when',x,'is divided by',y,'is',x,'%',y,'=',x%y)
print('The floor function when',x,'is divided by',y,'is',x,'//',y,'=',x//y)
print('The value when',x,'is raised to the power of',y,'is',x,'**',y,'=',x**y)
print(x,'>',y,'is',x>y)     #true if x>y
print(x,'<',y,'is',x<y)     #true if x<y
print(x,'>=',y,'is',x>=y)   #true if x>=y
print(x,'<=',y,'is',x<=y)   #true if x<=y
print(x,'==',y,'is',x==y)   #true if x==y
print(x,'!=',y,'is',x!=y)   #true if x!=y
print()

import math
print('math.pi =',math.pi)
print('math.e =',math.e)
print('math.tau =',math.tau)                    #a constant equal to 2π
print('math.floor(1.5) =',math.floor(1.5))      #gives the largest integer less than or equal to a number
print('math.ceil(1.5) =',math.ceil(1.5))        #gives the smallest integer greater than or equal to a number
print('math.fabs(-1.5) =',math.fabs(-1.5))      #gives the absolute value of a number
print('math.trunc(-1.1) =',math.trunc(-1.1))    #truncates a decimal into an integer
print('math.modf(1.5) =',math.modf(1.5))        #gives the fractional and integer parts of a number
print('math.sqrt(25) =',math.sqrt(25))
print('math.factorial(5) =',math.factorial(5))
print('math.exp(1) =',math.exp(1))
print('math.log(2) =',math.log(2))              #gives the logarithm to base e
print('math.log2(2) =',math.log2(2))            #gives the logarithm to base 2
print('math.log10(1000) =',math.log10(1000))    #gives the logarithm to base 10
print('math.log(1000,10) =',math.log(1000,10))  #log(x,n) gives the logarithm to any base n
print('math.pow(2,5) =',math.pow(2,5))          #pow(x,y) gives x raised to the power y
print('math.fmod(-26,3) =',math.fmod(-26,3))    #fmod(x,y) gives x modulo y, it follows the sign of x
print('math.remainder(-26,3) =',math.remainder(-26,3))  #remainder gives the difference from the quotient to the nearest integer
print('math.gcd(12,18) =',math.gcd(12,18))      #gives the greatest common divisor
print('math.modf(1.5) =',math.modf(1.5))        #gives the fractional and integer parts of a number
print('math.degrees(math.pi) =',math.degrees(math.pi))  #converts an angle to degrees
print('math.radians(180) =',math.radians(180))          #converts an angle to radians
print('math.sin(math.pi) =',math.sin(math.pi))  #gives the sine
print('math.cos(math.pi) =',math.cos(math.pi))  #gives the cosine
print('math.tan(math.pi) =',math.tan(math.pi))  #gives the tangent
print('math.asin(1) =',math.asin(1))            #gives the inverse sine
print('math.acos(1) =',math.acos(1))            #gives the inverse cosine
print('math.atan(1) =',math.atan(1))            #gives the inverse tangent
print('math.atan2(1,-1) =',math.atan2(1,-1))    #atan2(y, x) gives the angle atan(y/x) in the correct quadrant
print('math.hypot(1,1) =',math.hypot(1,1))      #gives sqrt(x^2 + y^2)
print('math.sinh(1) =',math.sinh(1))            #gives the hyperbolic sine
print('math.cosh(1) =',math.cosh(1))            #gives the hyperbolic cosine
print('math.tanh(1) =',math.tanh(1))            #gives the hyperbolic tangent
print('math.asinh(1) =',math.asinh(1))          #gives the inverse hyperbolic sine
print('math.acosh(1) =',math.acosh(1))          #gives the inverse hyperbolic cosine
print('math.atanh(0) =',math.atanh(0))          #gives the inverse hyperbolic tangent
print()

from fractions import Fraction as F
print('F(1,3) =',F(1,3))
print('F(1.5) =',F(1.5))
print('F(1,2) + F(1,3) =',F(1,2) + F(1,3))
from decimal import Decimal as D
print("D('1.1') + D('2.2') =",D('1.1') + D('2.2'))
print('Formatting to 5 decimal places =',"{:.5f}".format(math.pi))         #to 5 decimal places
print('Formatting with comma separators =',"{:,}".format(1000000))         #with comma separators
print()

import random
print('A random number in the range [0.0, 1.0) =',random.random()) #a random number in the range [0.0, 1.0)
print('A random list of integers from 1 to 10 is')
for i in range(10):
    print(random.randint(1,10),end='  ')        #gives a random integer in the given range
print('\nA random list of integers from the range (2,10,2) is')
for i in range(10):
    print(random.randrange(2,10,2),end='  ')    #gives a random number in the range(start, stop, step)
print()
x = ['a','b','c','d','e']
random.shuffle(x)                               #randomly shuffles a list
print('Shuffling a list gives',x)
print('A random sample without replacement from a population [1,2,3,4,5,6,7,8,9,10] =',random.sample([1,2,3,4,5,6,7,8,9,10], 5)) #gives a random sample without replacement from the population sequence of a given length
print()

import cmath
z=1+1j
print('z =',z)
print('z.real =',z.real)                    #gives the real part of a complex number
print('z.imag =',z.imag)                    #gives the imaginary part of a complex number
print('cmath.phase(z) =',cmath.phase(z))    #gives the argument of a complex number
print('cmath.polar(z) =',cmath.polar(z))    #gives the modulus and argument of a complex number
print('cmath.rect(math.sqrt(2),math.pi/4) =',cmath.rect(math.sqrt(2),math.pi/4))#gives the cartesian form of a complex number