Given a binary array arr[] of size N, and an integer K, the task is to check if K 0s can be flipped such that the array has no adjacent 1s.
Examples:
Input: arr[] = {0, 0, 0, 0, 1}, K=2
Output: true
Explanation: The 0 at indices 0 and 2 can be replaced by 1.
Hence 2 elements can be flipped (=K).Input: arr[] = {1, 0, 0, 0, 1}, K = 2
Output: false
Explanation: The 0 at index 2 can be replaced by 1.
Hence 1 element can be flipped (!= K).
Approach: The solution is based on greedy approach. Please follow the steps mentioned below:
- Iterate over the array and for every index which has 0, check if its adjacent two indices have 0 or not. For each possible flip, decrement the count of K.
- For the last and first index of the array, check for the adjacent left and right index respectively.
- For every such index satisfying the above condition, Decrement the count of K if it is possible.
- Return true if K<=0, else return false.
Below is the implementation of the above approach.
// C++ code to implement the approach
#include <bits/stdc++.h>
using namespace std;
// Function to check
// the possibility of K flips
bool flips(vector<int>& arr, int K)
{
if (arr[0] == 0 && (arr.size() == 1
|| arr[1] == 0)) {
arr[0] = 1;
K--;
}
for (int i = 1; i < arr.size() - 1;
i++) {
if (arr[i - 1] == 0 && arr[i] == 0
&& arr[i + 1] == 0) {
arr[i] = 1;
K--;
}
}
if (arr.size() > 1
&& arr[arr.size() - 2] == 0
&& arr[arr.size() - 1] == 0) {
arr[arr.size() - 1] = 1;
K--;
}
return K <= 0;
}
// Driver code
int main()
{
vector<int> arr = { 0, 0, 0, 0, 1 };
int K = 2;
cout << (flips(arr, K) ? "true" : "false");
return 0;
}
// Java program for the above approach
import java.io.*;
import java.lang.*;
import java.util.*;
class GFG {
// Function to check
// the possibility of K flips
static Boolean flips(int arr[], int K)
{
if (arr[0] == 0 && (arr.length == 1
|| arr[1] == 0)) {
arr[0] = 1;
K--;
}
for (int i = 1; i < arr.length - 1;
i++) {
if (arr[i - 1] == 0 && arr[i] == 0
&& arr[i + 1] == 0) {
arr[i] = 1;
K--;
}
}
if (arr.length > 1
&& arr[arr.length - 2] == 0
&& arr[arr.length - 1] == 0) {
arr[arr.length - 1] = 1;
K--;
}
return K <= 0;
}
// Driver code
public static void main (String[] args) {
int arr[] = { 0, 0, 0, 0, 1 };
int K = 2;
System.out.println(flips(arr, K) ? "true" : "false");
}
}
// This code is contributed by hrithikgarg03188
# Python code for the above approach
# Function to check
# the possibility of K flips
def flips(arr, K):
if (arr[0] == 0 and (len(arr) == 1 or arr[1] == 0)):
arr[0] = 1;
K -= 1
for i in range(1, len(arr) - 1):
if (arr[i - 1] == 0 and arr[i] == 0
and arr[i + 1] == 0):
arr[i] = 1;
K -= 1
if (len(arr) > 1
and arr[len(arr) - 2] == 0
and arr[len(arr) - 1] == 0):
arr[len(arr) - 1] = 1;
K -= 1
return K <= 0;
# Driver code
arr = [0, 0, 0, 0, 1];
K = 2;
if (flips(arr, K)):
print("true");
else:
print("false");
# This code is contributed by Saurabh Jaiswal
// C# program for the above approach
using System;
class GFG {
// Function to check
// the possibility of K flips
static Boolean flips(int[] arr, int K)
{
if (arr[0] == 0 && (arr.Length == 1 || arr[1] == 0)) {
arr[0] = 1;
K--;
}
for (int i = 1; i < arr.Length - 1;
i++) {
if (arr[i - 1] == 0 && arr[i] == 0
&& arr[i + 1] == 0) {
arr[i] = 1;
K--;
}
}
if (arr.Length > 1
&& arr[arr.Length - 2] == 0
&& arr[arr.Length - 1] == 0) {
arr[arr.Length - 1] = 1;
K--;
}
return K <= 0;
}
// Driver code
public static void Main () {
int[] arr = { 0, 0, 0, 0, 1 };
int K = 2;
Console.Write(flips(arr, K) ? "true" : "false");
}
}
// This code is contributed by Saurabh Jaiswal
<script>
// JavaScript code for the above approach
// Function to check
// the possibility of K flips
function flips(arr, K) {
if (arr[0] == 0 && (arr.length == 1
|| arr[1] == 0)) {
arr[0] = 1;
K--;
}
for (let i = 1; i < arr.length - 1;
i++) {
if (arr[i - 1] == 0 && arr[i] == 0
&& arr[i + 1] == 0) {
arr[i] = 1;
K--;
}
}
if (arr.length > 1
&& arr[arr.length - 2] == 0
&& arr[arr.length - 1] == 0) {
arr[arr.length - 1] = 1;
K--;
}
return K <= 0;
}
// Driver code
let arr = [0, 0, 0, 0, 1];
let K = 2;
if (flips(arr, K))
document.write("true");
else
document.write("false");
// This code is contributed by Potta Lokesh
</script>
Output
true
Time Complexity: O(N)
Auxiliary Space: O(1)