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Given an array of N integers containing only 0 or 1. You can do the following operations on the array:swap elements at two indiceschoose one index and change its value from 0 to 1 or vice-versa.You have to do the minimum number of the above operations such that the final array is non-decreasing.Note Consider 1 based Array-indexing

Question

Given an array of N integers containing only 0 or 1. You can do the following operations on the array:swap elements at two indiceschoose one index and change its value from 0 to 1 or vice-versa.You have to do the minimum number of the above operations such that the final array is non-decreasing.Note Consider 1 based Array-indexing

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Solution

To solve this problem, we can follow the following steps:

  1. Initialize a variable, let's call it "operations", to keep track of the minimum number of operations required.

  2. Iterate through the given array from left to right.

  3. For each element in the array, check if it is greater than the next element. If it is, we need to perform some operations to make the array non-decreasing.

  4. If the current element is 0 and the next element is 1, we can simply swap these two elements to make them non-decreasing. Increment the "operations" variable by 1.

  5. If the current element is 1 and the next element is 0, we have two options: a. Swap the current element with the next element and increment the "operations" variable by 1. b. Change the value of the next element to 1 and increment the "operations" variable by 1.

  6. After performing the necessary operations, continue iterating through the array.

  7. Finally, return the value of the "operations" variable, which represents the minimum number of operations required to make the array non-decreasing.

This algorithm ensures that we perform the minimum number of operations to achieve the desired result.

This problem has been solved

Similar Questions

Given an array arr of n positive integers. The task is to swap every ith element of the array with (i+2)th element.

You are given a binary array nums.You can do the following operation on the array any number of times (possibly zero):Choose any index i from the array and flip all the elements from index i to the end of the array.Flipping an element means changing its value from 0 to 1, and from 1 to 0.Return the minimum number of operations required to make all elements in nums equal to 1. Example 1:Input: nums = [0,1,1,0,1]Output: 4Explanation:We can do the following operations:Choose the index i = 1. The resulting array will be nums = [0,0,0,1,0].Choose the index i = 0. The resulting array will be nums = [1,1,1,0,1].Choose the index i = 4. The resulting array will be nums = [1,1,1,0,0].Choose the index i = 3. The resulting array will be nums = [1,1,1,1,1].Example 2:Input: nums = [1,0,0,0]Output: 1Explanation:We can do the following operation:Choose the index i = 1. The resulting array will be nums = [1,1,1,1]. Constraints:1 <= nums.length <= 1050 <= nums[i] <= 1Python3 1class Solution:2    def minOperations(self, nums: List[int]) -> int:3

You are given two integer arrays: array a𝑎 of length n𝑛 and array b𝑏 of length n+1𝑛+1.You can perform the following operations any number of times in any order:choose any element of the array a𝑎 and increase it by 11;choose any element of the array a𝑎 and decrease it by 11;choose any element of the array a𝑎, copy it and append the copy to the end of the array a𝑎.Your task is to calculate the minimum number of aforementioned operations (possibly zero) required to transform the array a𝑎 into the array b𝑏. It can be shown that under the constraints of the problem, it is always possible.InputThe first line contains a single integer t𝑡 (1≤t≤1041≤𝑡≤104) — the number of test cases.Each test case consists of three lines:the first line contains a single integer n𝑛 (1≤n≤2⋅1051≤𝑛≤2⋅105);the second line contains n𝑛 integers a1,a2,…,an𝑎1,𝑎2,…,𝑎𝑛 (1≤ai≤1091≤𝑎𝑖≤109);the third line contains n+1𝑛+1 integers b1,b2,…,bn+1𝑏1,𝑏2,…,𝑏𝑛+1 (1≤bi≤1091≤𝑏𝑖≤109).Additional constraint on the input: the sum of n𝑛 over all test cases doesn't exceed 2⋅1052⋅105.OutputFor each test case, print a single integer — the minimum number of operations (possibly zero) required to transform the array a𝑎 into the array b𝑏.ExampleinputCopy3121 323 33 3 344 2 1 22 1 5 2 3outputCopy318NoteIn the first example, you can transform a𝑎 into b𝑏 as follows: [2]→[2,2]→[1,2]→[1,3][2]→[2,2]→[1,2]→[1,3].

Complete this code to swap the first and last element of the given array. Do nothing if the array is empty.

Given a fixed-length integer array arr, duplicate each occurrence of zero, shifting the remaining elements to the right.

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