Alice is working on a mathematical series for her project and needs to calculate the sum of the series where each term is the ratio of the integer to its factorial up to a given number n. Write a program to help Alice by taking an integer n as input and printing the sum of the series, formatted to two decimal places.Company Tags: InfosysInput format :The input consists of an integer n.Output format :The output prints a double value, which is the sum of the series, rounded off to two decimal places.Refer to the sample output for formatting specifications.Code constraints :1 ≤ n ≤ 8Sample test cases :Input 1 :5Output 1 :2.71Input 2 :2Output 2 :2.00

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Solution 1

Here is a Python program that can help Alice calculate the sum of the series:

import math

def calculate_sum(n):
    sum = 0.0
    for i in range(1, n+1):
        sum += i/math.factorial(i)
    return round(sum, 2)

n = int(input())
print("{:.2f}".format(calculate_sum(n)))

This program

Solution 2

Here is a Python program that can help Alice calculate the sum of the series:

import math

def calculate_sum(n):
    sum = 0.0
    for i in range(1, n+1):
        sum += i/math.factorial(i)
    return round(sum, 2)

n = int(input())
print("{:.2f}".format(calculate_sum(n)))

This program works as follows:

It defines a function calculate_sum(n) that calculates the sum of the series up to n. Inside this function, it initializes a variable sum to 0.0.
Then it runs a loop from 1 to n (inclusive). For each integer i in this range, it adds the ratio of i to its factorial to sum. The factorial is calculated using the math.factorial(i) function.
The function then returns the sum rounded to two decimal places using the round(sum, 2) function.
The main part of the program reads an integer n from the input, calls calculate_sum(n), and prints the result formatted to two decimal places. The formatting is done using the "{:.2f}".format(calculate_sum(n)) expression.

This problem has been solved

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