Polar Coordinates-HackerRank Solution

Polar Coordinates-HackerRank Solution

Polar coordinates are an alternative way of representing Cartesian coordinates or Complex Numbers.

A complex number  

is completely determined by its real part and imaginary part.
Here,  is the imaginary unit.

A polar coordinate () 

is completely determined by modulus  and phase angle .

If we convert complex number  to its polar coordinate, we find:
: Distance from  to origin, i.e., 
: Counter clockwise angle measured from the positive -axis to the line segment that joins  to the origin.

Python's cmath module provides access to the mathematical functions for complex numbers.

This tool returns the phase of complex number  (also known as the argument of ).

>>> phase(complex(-1.0, 0.0))
3.1415926535897931

This tool returns the modulus (absolute value) of complex number.

>>> abs(complex(-1.0, 0.0))
1.0

Task
You are given a complex. Your task is to convert it to polar coordinates.

Input Format

A single line containing the complex number. Note: complex() function can be used in python to convert the input as a complex number.

Constraints

Given number is a valid complex number

Output Format

Output two lines:
The first line should contain the value of .
The second line should contain the value of .

Sample Input

  1+2j

Sample Output

 2.23606797749979 
 1.1071487177940904

Note: The output should be correct up to 3 decimal places.

Read More

Inner and Outer-HackerRank Solution

 Inner and Outer-HackerRank Solution

inner

The inner tool returns the inner product of two arrays.

import numpy

A = numpy.array([0, 1])
B = numpy.array([3, 4])

print numpy.inner(A, B)     #Output : 4

outer

The outer tool returns the outer product of two arrays.

import numpy

A = numpy.array([0, 1])
B = numpy.array([3, 4])

print numpy.outer(A, B)     #Output : [[0 0]
                            #          [3 4]]

---

Task

You are given two arrays:  and .
Your task is to compute their inner and outer product.

Input Format

The first line contains the space separated elements of array .
The second line contains the space separated elements of array .

Output Format

First, print the inner product.
Second, print the outer product.

Sample Input

0 1
2 3

Sample Output

3
[[0 0]
 [2 3]]

Read More

Dot and Cross-HackerRank Solution

 Dot and Cross-HackerRank Solution

 dot

 The dot tool returns the dot product of two arrays.

import numpy

A = numpy.array([ 1, 2 ])
B = numpy.array([ 3, 4 ])

print numpy.dot(A, B)       #Output : 11

cross

The cross tool returns the cross product of two arrays.

import numpy

A = numpy.array([ 1, 2 ])
B = numpy.array([ 3, 4 ])

print numpy.cross(A, B)     #Output : -2

---

Task

You are given two arrays  and . Both have dimensions of X.
Your task is to compute their matrix product.

Input Format

The first line contains the integer .
The next  lines contains  space separated integers of array .
The following  lines contains  space separated integers of array .

Output Format

Print the matrix multiplication of  and .

Sample Input

2
1 2
3 4
1 2
3 4

Sample Output

[[ 7 10]
 [15 22]]

Read More