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Find the Missing Number: Given an array containing n distinct numbers taken from 0, 1, 2, ..., n, find the one that is missing from the array.

Question

Find the Missing Number: Given an array containing n distinct numbers taken from 0, 1, 2, ..., n, find the one that is missing from the array.

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Solution

Sure, here is a step-by-step solution in Python:

  1. First, we need to find the sum of the first n natural numbers. We can use the formula n*(n+1)/2 to find this sum. Let's call this sum expected_sum.
n = len(nums)
expected_sum = n*(n+1)//2
  1. Next, we need to find the sum of the numbers in the given array. We can use the built-in sum() function in Python to find this sum. Let's call this sum actual_sum.
actual_sum = sum(nums)
  1. The missing number will be the difference between expected_sum and actual_sum.
missing_number = expected_sum - actual_sum
  1. Finally, we return the missing_number.
return missing_number

So, the complete Python function to find the missing number is:

def findMissingNumber(nums):
    n = len(nums)
    expected_sum = n*(n+1)//2
    actual_sum = sum(nums)
    missing_number = expected_sum - actual_sum
    return missing_number

You can call this function with your array as the argument to find the missing number. For example:

print(findMissingNumber([0, 1, 3]))

This will output 2, which is the missing number in the array.

This problem has been solved

Similar Questions

You have a set of integers s, which originally contains all the numbers from 1 to n. Unfortunately, due to some error, one of the numbers in s got duplicated to another number in the set, which results in repetition of one number and loss of another number.You are given an integer array nums representing the data status of this set after the error.Find the number that occurs twice and the number that is missing and return them in the form of an array. Example 1:Input: nums = [1,2,2,4]Output: [2,3]

Find Missing Number in ArrayIn a classroom, the teacher has a list of students who have submitted their assignments, but one student's assignment is missing. The teacher knows that the assignments were numbered consecutively from 1 to n, but one number is missing. The teacher needs a function to identify the missing number.Write a function that finds the missing number in an array containing numbers from 1 to n with one number missing.Constraints:NAExample:Input:51 2 4 5 6Output:3Explanation:Input:5          ------------->Size of array1 2 4 5 6 ----------->Elements of the arrayOutput:3          -------------> 3 is missing in the above array

Notice the number series given below. There is pattern between the numbers. Using the pattern find the missing number.

The image contains a question which states: "Given an array containing elements from 1 to 100 except one element in this range is missing. Find the missing element." To find the missing element, you can follow these steps: 1. Calculate the sum of all numbers from 1 to 100 using the formula for the sum of an arithmetic series: `n(n + 1)/2`, where `n` is the last number in the range. In this case, `n` is 100, so the sum is `100(100 + 1)/2 = 5050`. 2. Sum all the numbers in the given array. This will be less than the sum calculated in step 1 because one number is missing. 3. Subtract the sum of the array from the sum calculated in step 1. The result will be the value of the missing element. For example, if the sum of the numbers in the array is 4950, then the missing number would be `5050 - 4950 = 100`. The missing number is 100.

Problem StatementArun is given an array of integers where all elements appear twice, except for one element that appears only once. The goal is to find this single, non-duplicate element using a linear search algorithm. If the element is not found, print the appropriate message.Assist Arun in solving this challenge.Input format :The first line of input consists of an integer N, representing the number of elements in the array.The second line consists of N space-separated integers, representing the array elements.Output format :The output prints an integer, representing the single non-duplicate element in the given array.If no such element is found, print "No non-duplicate element found".Refer to the sample output for formatting specifications.Code constraints :1 ≤ N ≤ 151 ≤ elements of the array ≤ 30Sample test cases :Input 1 :91 1 2 3 3 4 4 8 8Output 1 :2Input 2 :712 16 12 15 17 16 15Output 2 :17Input 3 :414 26 14 26Output 3 :No non-duplicate element found

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