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You are given two arrays of equal length, nums1 and nums2.Each element in nums1 has been increased (or decreased in the case of negative) by an integer, represented by the variable x.As a result, nums1 becomes equal to nums2. Two arrays are considered equal when they contain the same integers with the same frequencies.Return the integer x. Example 1:Input: nums1 = [2,6,4], nums2 = [9,7,5]Output: 3Explanation:The integer added to each element of nums1 is 3.Example 2:Input: nums1 = [10], nums2 = [5]Output: -5Explanation:The integer added to each element of nums1 is -5.Example 3:Input: nums1 = [1,1,1,1], nums2 = [1,1,1,1]Output: 0Explanation:The integer added to each element of nums1 is 0. Constraints:1 <= nums1.length == nums2.length <= 1000 <= nums1[i], nums2[i] <= 1000The test cases are generated in a way that there is an integer x such that nums1 can become equal to nums2 by adding x to each element of nums1.

Question

You are given two arrays of equal length, nums1 and nums2.Each element in nums1 has been increased (or decreased in the case of negative) by an integer, represented by the variable x.As a result, nums1 becomes equal to nums2. Two arrays are considered equal when they contain the same integers with the same frequencies.Return the integer x. Example 1:Input: nums1 = [2,6,4], nums2 = [9,7,5]Output: 3Explanation:The integer added to each element of nums1 is 3.Example 2:Input: nums1 = [10], nums2 = [5]Output: -5Explanation:The integer added to each element of nums1 is -5.Example 3:Input: nums1 = [1,1,1,1], nums2 = [1,1,1,1]Output: 0Explanation:The integer added to each element of nums1 is 0. Constraints:1 <= nums1.length == nums2.length <= 1000 <= nums1[i], nums2[i] <= 1000The test cases are generated in a way that there is an integer x such that nums1 can become equal to nums2 by adding x to each element of nums1.

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Solution

To solve this problem, you can follow these steps:

  1. First, check the constraints. The lengths of both arrays are equal and the elements are integers.

  2. Since the problem states that each element in nums1 has been increased or decreased by an integer x to become nums2, you can find x by subtracting an element in nums1 from its corresponding element in nums2.

  3. To ensure the result is correct, you can choose any element from both arrays. Let's choose the first element for simplicity. Calculate x by subtracting the first element of nums1 from the first element of nums2.

  4. Now, you need to verify that this value of x works for all elements in the arrays. Iterate over the elements in both arrays. For each pair of elements, check if the element in nums1 plus x equals the corresponding element in nums2. If not, then x is not the correct value and the arrays cannot be made equal by adding the same integer to each element of nums1.

  5. If you have checked all elements and they all satisfy the condition, then you have found the correct value of x. Return x.

Here is a Python code snippet that implements these steps:

def find_x(nums1, nums2):
    x = nums2[0] - nums1[0]
    for i in range(len(nums1)):
        if nums1[i] + x != nums2[i]:
            return "No such integer exists"
    return x

This function first calculates x using the first elements of nums1 and nums2. It then checks if this value of x works for all elements in the arrays. If it does, the function returns x. If not, it returns a message indicating that no such integer exists.

This problem has been solved

Similar Questions

You are given two integer arrays nums1 and nums2.From nums1 two elements have been removed, and all other elements have been increased (or decreased in the case of negative) by an integer, represented by the variable x.As a result, nums1 becomes equal to nums2. Two arrays are considered equal when they contain the same integers with the same frequencies.Return the minimum possible integer x that achieves this equivalence. Example 1:Input: nums1 = [4,20,16,12,8], nums2 = [14,18,10]Output: -2Explanation:After removing elements at indices [0,4] and adding -2, nums1 becomes [18,14,10].Example 2:Input: nums1 = [3,5,5,3], nums2 = [7,7]Output: 2Explanation:After removing elements at indices [0,3] and adding 2, nums1 becomes [7,7]. Constraints:3 <= nums1.length <= 200nums2.length == nums1.length - 20 <= nums1[i], nums2[i] <= 1000The test cases are generated in a way that there is an integer x such that nums1 can become equal to nums2 by removing two elements and adding x to each element of nums1.

You are given two integer arrays nums1 and nums2, sorted in non-decreasing order, and two integers m and n, representing the number of elements in nums1 and nums2 respectively.Merge nums1 and nums2 into a single array sorted in non-decreasing order.The final sorted array should not be returned by the function, but instead be stored inside the array nums1. To accommodate this, nums1 has a length of m + n, where the first m elements denote the elements that should be merged, and the last n elements are set to 0 and should be ignored. nums2 has a length of n. Example 1:Input: nums1 = [1,2,3,0,0,0], m = 3, nums2 = [2,5,6], n = 3Output: [1,2,2,3,5,6]Explanation: The arrays we are merging are [1,2,3] and [2,5,6].The result of the merge is [1,2,2,3,5,6] with the underlined elements coming from nums1.Example 2:Input: nums1 = [1], m = 1, nums2 = [], n = 0Output: [1]Explanation: The arrays we are merging are [1] and [].The result of the merge is [1].Example 3:Input: nums1 = [0], m = 0, nums2 = [1], n = 1Output: [1]Explanation: The arrays we are merging are [] and [1].The result of the merge is [1].Note that because m = 0, there are no elements in nums1. The 0 is only there to ensure the merge result can fit in nums1. Constraints:nums1.length == m + nnums2.length == n0 <= m, n <= 2001 <= m + n <= 200-109 <= nums1[i], nums2[j] <= 109 Follow up: Can you come up with an algorithm that runs in O(m + n) time?

Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.

Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.You may assume that each input would have exactly one solution, and you may not use the same element twice.You can return the answer in any order. Example 1:Input: nums = [2,7,11,15], target = 9Output: [0,1]Explanation: Because nums[0] + nums[1] == 9, we return [0, 1].Example 2:Input: nums = [3,2,4], target = 6Output: [1,2]Example 3:Input: nums = [3,3], target = 6Output: [0,1] Constraints:2 <= nums.length <= 104-109 <= nums[i] <= 109-109 <= target <= 109Only one valid answer exists.

You are given an integer array nums sorted in non-decreasing order.Build and return an integer array result with the same length as nums such that result[i] is equal to the summation of absolute differences between nums[i] and all the other elements in the array.In other words, result[i] is equal to sum(|nums[i]-nums[j]|) where 0 <= j < nums.length and j != i (0-indexed). Example 1:Input: nums = [2,3,5]Output: [4,3,5]Explanation: Assuming the arrays are 0-indexed, thenresult[0] = |2-2| + |2-3| + |2-5| = 0 + 1 + 3 = 4,result[1] = |3-2| + |3-3| + |3-5| = 1 + 0 + 2 = 3,result[2] = |5-2| + |5-3| + |5-5| = 3 + 2 + 0 = 5.Example 2:Input: nums = [1,4,6,8,10]Output: [24,15,13,15,21]

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