Python05_Math

## Python
## Sets


##  Polar Coordinates
# Enter your code here. Read input from STDIN. Print output to STDOUT

# option A
# from cmath import polar
# z = complex(input())
# print(*polar(z), sep='\n')

# option B
from cmath import *
z = complex(input())
print(abs(z), phase(z), sep='\n')


## Find Angle MBC
# Enter your code here. Read input from STDIN. Print output to STDOUT
from math import degrees, atan2

AB = int(input())
BC = int(input())
result = round(degrees(atan2(AB, BC)))
print(str(result) + '°')


## Triangle Quest 2
for i in range(1,int(input())+1): #More than 2 lines will result in 0 score. Do not leave a blank line also
    print((10**(i)//9)**2)

# floor_division
print((10**(i)//9)**2) 

# converted normal division's result into floor
print(int(10**i/9)**2) 

# same output but failed (invalid string literal found)
print( *range(1,i), *range(i,0,-1), sep='')

# same output but failed (only 1 print statement is allowed)
my_list = [1, 121, 12321, 1234321, 123454321, 12345654321, 1234567654321, 123456787654321, 12345678987654321, 12345678910987654321]
n = int(input())
for i in range(0, n): 
    print(my_list[i])


## Mod Divmod
# Enter your code here. Read input from STDIN. Print output to STDOUT
numerator = int(input())
denominator = int(input())
print(numerator // denominator)
print(numerator % denominator)
print(divmod(numerator, denominator))


## Power - Mod Power
# Enter your code here. Read input from STDIN. Print output to STDOUT
a,b,m = [int(input()) for _ in range(3)]
print(pow(a,b))
print(pow(a,b,m))


## Integers Come In All Sizes
# Enter your code here. Read input from STDIN. Print output to STDOUT
a,b,c,d = [int(input()) for _ in range(4)]
print(pow(a,b) + pow(c,d))


## Triangle Quest
# using only arithmetic operations, a single for loop and print statement
for i in range(1,int(input())): #More than 2 lines will result in 0 score. Do not leave a blank line also
    print( ( (10**i)//9 )*i )      # (10**i)//9 gives required seq of 1's

# alternative
print(int(i*(10**i-1)/9))
  
# same output but failed (str is not allowed)
print(''.join([str(i)]*i))


## end ##