tutorialcup@gmail.com

Find Zeroes to be Flipped so that number of Consecutive 1's is maximized

Arrays
Reverse Array
Pair Sum Equals Number
Floor and Ceil
Largest Sum Subarray
Missing Number
Odd Occuring Number
Sort by Frequency
First and Second Smallest
Majority Element
Difference between elements
Arrange Even and Odd
Closest Sum Elements
Distinct Elements
First Repeating Number
Common Elements in Arrays
Smallest Missing Number
Max Adjacent Sum
Find Occurrences of Number
Rotate Image
Distance Between Numbers
Pair with given difference
Product Array Puzzle
Replace Elements
First Repeating Element
Move Zeroes to End
Pythagorean Triplets
Maximum Average Subarray
Subarray Sum Equal to X
Leaders in Array
Largest Pair Sum
Segregate 0s 1s and 2s
Find Duplicates
Consecutive Elements Check
Triplet with given Sum
Binary Search in Sorted Array
Fixed point in sorted array
Reorder Elements by Indexes
Merging two sorted arrays
Find next greater number
Reorder array using given indexes
Count of triplets with sum less than given value
Merge two sorted arrays
Subarray and Subsequence
Rearrange array maximum minimum form
Find the lost element from a duplicated array
Count minimum steps to get the given array
Maximum element in an array which is increasing and then decreasing
Minimum number of jumps to reach the end of an array
Subarray with given sum
Length of Longest Increasing Subsequence
Smallest positive number missing unsorted array
The Celebrity Problem
Sorted subsequence of size 3
Partition Problem
Find pair with given difference
Maximum length of chain pairs
Four elements that sum to given
Maximum circular subarray sum
Count possible triangles
Longest Increasing Subsequence
Petrol Bunks Tour
Tug of War
Counting Sort
Maximum Repeating Number
Positive Negative Arrangement
Find a Peak element
Elements More Than n/k
Max Product Subsequence
Longest Bitonic subarray in an array
Number of smaller elements on right side
Implement two stacks in an array
Maximum sum increasing subsequence
Find the two numbers with odd occurrences in an unsorted array
Largest subarray with equal number of 0's and 1's
Maximum product subarray
Replace every element with the greatest on the right side in an array
Sorting a k sorted array
Find the row with maximum number of 1's
Shuffle a given array
Iterative Implementation of quick sort
Arrange given numbers to form the biggest number
Pancake sorting
Pancake sorting Problem
Maximum Subarray Sum using Divide and Conquer
Merge Overlapping Intervals
Stock Buy Sell to Maximize Profit
Sort Elements by frequency
Print all possible combinations of r elements in a given array of size n
Monotonically increasing function
Minimum element in a sorted and rotated array
Merge k Sorted Arrays
Flip Zeroes for Consecutive 1's
Least Average Subarray
Longest span with same sum in two binary arrays
Form minimum number from given sequence of D's and I's
Number of strictly increasing subarrays
Minimum difference between any two elements in an array
Number of pairs with given sum
Make Array Palindrome
Dynamic Programming, Longest Bitonic SubSequence

Given a binary array and number of zeroes to be flipped, write a program to find the zeroes that needs to be flipped so that the number of consecutive 1's is maximized

Example

INPUT:
arr[] = {0, 1, 0, 1, 1, 0, 1}
zeroes= 2

OUTPUT:
The indexes are 2, 5

In the above example, we can see that when the zeroes at indexes 2 and 5 are flipped we get maximum  number of consecutiive one's.

Time Complexity : O(n)

In this method the main idea is using the sliding window

Algorithm

1. Initialize a variable count to keep track of number of zeros

2. Till the right pointer of the window is less than the input array

3. If the count is less than the input number of zeroes, then increase the window size to the right and if we find any   zero increment the count value

4. If the count is greater than the input number of zeroes, then decrease the window size from the left and if we find any zero decrement the count value

5. If the window size is greater than the previous window size make it as the best window.

6. Print the zeroes indexes in the best window.

C++ Program

#include <bits/stdc++.h>
using namespace std;

void zeroesIndexes(int arr[],int zeroes, int n) //this function prints the zero index that should be flipped
{
	int start =0, end = 0; //starting and ending of the window
	int count =0; //number of zeros in window
	int bestwindow =0, bestwindowstart= 0;// bestwindow size and starting point
	while(end<n)
	{
		if(count <= zeroes) //if no of zeros is less than input zeros
		{
			if(arr[end]==0)
			{
				count++;
			}
			end++;		//increasing window size
		}	
		if(count > zeroes) //if no of zeros greater than input zeroes
		{
			if(arr[start]==0)
			{
				count--;
			}
			start++;          //decreasing window size
		}
		if(end-start > bestwindow) //updating the best window
		{
			bestwindow = end-start;
			bestwindowstart = start;
		}	
		
	}
	cout<<bestwindowstart;
	cout<<"The indexes are ";	
	for (int i = bestwindowstart; i < bestwindow; ++i)
	{
		if(arr[i]==0)
			cout<< i<<" ";
	}
}
int main()
{
	int arr[] = {0, 1, 0, 1, 1, 0, 1};
	int zeroes= 2;				 //no of zeroes that can be flipped	
	int n = sizeof(arr)/sizeof(arr[0]);
	zeroesIndexes(arr, zeroes, n);
	return 0;
}
Try It


C++ Online Test - Check Your Rank across the World


Next > < Prev
Scroll to Top