Answer to Question #188440 in Python for Hari nadh babu

Question #188440

Add two polynomials

Given two polynomials A and B, write a program that adds the given two polynomials A and B

Output

Print the addition of polynomials A and B.

If the degree of polynomial is zero and the constant term is also zero, then just print 0 to represent the polynomial.

For term Cix^Pi, if the coefficient of the term Ci is 1, simply print x^Pi instead of 1x^Pi.Explanation

Sample Input 1:-

6

0 -20

1 23

2 30

3 19

4 6

5 17

9

0 -100

5 -89

6 -20

7 -1

1 20

2 4

3 99

4 -45

8 12

Sample Output 1:-

12x^8 - x^7 - 20x^6 - 72x^5 - 39x^4 + 118x^3 + 34x^2 + 43x - 120

Note :- Need Space between - and + operators

Sample Input 2:-

4

0 5

1 0

2 10

3 6

3

0 1

1 2

2 4

Sample Output 2:-

6x^3 + 14x^2 + 2x + 6

Note:- Need Space between - and + operators

Sample Input 3:-

5

0 -2

3 6

4 7

1 -3

2 -1

5

0 1

1 2

2 -4

3 3

4 5

Sample Output 3:-

12x^4 + 9x^3 - 5x^2 - x - 1

Note:- Need Space between - and + operators


1
Expert's answer
2021-05-05T19:29:49-0400
print('Then polynomial A represents 6x^3 + 10x^2 + 5'
      ' the polynomial B represents 4x^2 + 2x + 1 and '
      'the addition of A and B is 6x^3 + 14x^2 + 2x + 6')
print('Example: sample input is given below:')
print(""
    "4 \n"
    "0 5 \n"
    "1 0 \n"
    "2 10 \n"
    "3 6 \n")
print("3 \n"
        "0 1 \n"
        "1 2 \n"
        "2 4 \n")
print("Sample Output 6x^3 + 14x^2 + 2x + 6")
print('-------------------------------------------------------------')

# Number of terms in the polynomial
print('Total number of terms in polynomial')
n = int(input('Enter the cofficient of the polynomials in following with terms'))
polinomial_A =[0 for item in range(n)]
for item in range(n):
    p, c = input('Enter separated by space Pi and Ci ').split(' ')
    polinomial_A[int(p)] = int(c)
m = int(input('Enter the cofficient of the polynomials in following with terms'))
polinomial_B =[0 for item in range(m)]
print('Enter the data of the polynomial B')
for item in range(m):
    p, c = input('Enter separated by space Pi and Ci ').split(' ')
    polinomial_B[int(p)] = int(c)
# define references to polynomials of greater and lesser length
pol_max , pol_min = polinomial_A , polinomial_B
if len(pol_min) > len(pol_max):
    pol_max , pol_min = polinomial_B , polinomial_A
# add the coefficients of the polynorms in pairs
for item in range(len(pol_min)):
    pol_max[item] += pol_min[item]
# result output
for item in range(len(pol_max)-1,0,-1):
    if item == 0:
        continue
    print (f'{pol_max[item]}x^{item} + ',end='')
print(pol_max[0])

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