HackerRank Python Solution - Math Topic - Integer Come In All Sizes

• Integers in Python can be as big as the bytes in your machine's memory. There is no limit in size as there is: 2³¹-1 (c++ int) or 2⁶³-1 (C++ long long int).

• As we know, the result of a^b grows really fast with increasing b.

• Let's do some calculations on very large integers.

HackerRank Python Solution - Math Topic - Power - Mod Power

• So far, we have only heard of Python's powers. Now, we will witness them!

• Powers or exponents in Python can be calculated using the built-in power function. Call the power function a^b as shown below:

>>> pow(a,b) 

or

 

>>> a**b

It's also possible to calculate a^b mod m.

 

>>> pow(a,b,m)  

HackerRank Python Solution - Math Topic - Mod Divmod

One of the built-in functions of Python is divmod, which takes two arguments a and b, and returns a tuple containing the quotient of a/b first and then the remainder a.

For example:

 

>>> print divmod(177,10)
(17, 7)

Here, the integer division is 177/10 => 17 and the modulo operator is 177%10 => 7.

HackerRank Python Solution - Math Topic - Triangle Quest 2

• You are given a positive integer N.

• Your task is to print a palindromic triangle of size N.

• For example, a palindromic triangle of size 5 is:

1
121
12321
1234321
123454321

• You can't take more than two lines. The first line (a for-statement) is already written for you.

• You have to complete the code using exactly one print statement. 

HackerRank Python Solution - Math Topic - Find Angle MBC

• ABC is a right triangle, 90˙ at B. Therefore ∡ABC = 90˙

• Point M is the midpoint of hypotenuse AC.

• You are given the lengths AB and BC.

• Your task is to find ∡MBC (angle Ө˙, as shown in the figure) in degrees.

Input Format:

• The first line contains the length of side AB.

• The second line contains the length of side BC.