Number of flips to make binary string alternate | Set 1

Given a binary string, that is it contains only 0s and 1s. We need to make this string a sequence of alternate characters by flipping some of the bits, our goal is to minimize the number of bits to be flipped.
Examples :

Input : str = “001”
Output : 1
Minimum number of flips required = 1
We can flip 1st bit from 0 to 1 

Input : str = “0001010111”
Output : 2
Minimum number of flips required = 2
We can flip 2nd bit from 0 to 1 and 9th 
bit from 1 to 0 to make alternate 
string “0101010101”.

Expected time complexity : O(n) where n is length of input string.



We can solve this problem by considering all possible results, As we are supposed to get alternate string, there are only 2 possibilities, alternate string starting with 0 and alternate string starting with 1. We will try both cases and choose the string which will require minimum number of flips as our final answer.
Trying a case requires O(n) time in which we will loop over all characters of given string, if current character is expected character according to alternation then we will do nothing otherwise we will increase flip count by 1. After trying strings starting with 0 and starting with 1, we will choose the string with minimum flip count.
Total time complexity of solution will be O(n)

C++

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// C/C++ program to find minimum number of
// flip to make binary string alternate
#include <bits/stdc++.h>
using namespace std;
  
//  Utility method to flip a character
char flip(char ch)
{
    return (ch == '0') ? '1' : '0';
}
  
//  Utility method to get minimum flips when
//  alternate string starts with expected char
int getFlipWithStartingCharcter(string str,
                                char expected)
{
    int flipCount = 0;
    for (int i = 0; i < str.length(); i++)
    {
        //  if current character is not expected,
        // increase flip count
        if (str[i] != expected)
            flipCount++;
  
        //  flip expected character each time
        expected = flip(expected);
    }
    return flipCount;
}
  
// method return minimum flip to make binary
// string alternate
int minFlipToMakeStringAlternate(string str)
{
    //  return minimum of following two
    //  1) flips when alternate strign starts with 0
    //  2) flips when alternate strign starts with 1
    return min(getFlipWithStartingCharcter(str, '0'),
               getFlipWithStartingCharcter(str, '1'));
}
  
//  Driver code to test above method
int main()
{
    string str = "0001010111";
    cout << minFlipToMakeStringAlternate(str);
    return 0;
}

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Java














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// Java program to find minimum number of 


// flip to make binary string alternate 


class GFG  


{ 


    //  Utility method to flip a character 


    public static char flip(char ch) 


    { 


        return (ch == '0') ? '1' : '0'; 


    } 


       


    //  Utility method to get minimum flips when 


    //  alternate string starts with expected char 


    public static int getFlipWithStartingCharcter(String str, 


                                    char expected) 


    { 


        int flipCount = 0; 


        for (int i = 0; i < str.length(); i++) 


        { 


            //  if current character is not expected, 


            // increase flip count 


            if (str.charAt(i) != expected) 


                flipCount++; 


       


            //  flip expected character each time 


            expected = flip(expected); 


        } 


        return flipCount; 


    } 


       


    // method return minimum flip to make binary 


    // string alternate 


    public static int minFlipToMakeStringAlternate(String str) 


    { 


        //  return minimum of following two 


        //  1) flips when alternate string starts with 0 


        //  2) flips when alternate string starts with 1 


        return Math.min(getFlipWithStartingCharcter(str, '0'), 


                   getFlipWithStartingCharcter(str, '1')); 


    } 


       


    //  Driver code to test above method 


    public static void main(String args[]) 


    { 


        String str = "0001010111"; 


        System.out.println(minFlipToMakeStringAlternate(str)); 


    } 


} 


  


// This code is contributed by Sumit Ghosh 



















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Python 3














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# Python 3 program to find minimum number of 


# flip to make binary string alternate 


  


# Utility method to flip a character 


def flip( ch): 


    return '1' if (ch == '0') else '0'


  


# Utility method to get minimum flips when 


# alternate string starts with expected char 


def getFlipWithStartingCharcter(str, expected): 


  


    flipCount = 0


    for i in range(len( str)): 


          


        # if current character is not expected, 


        # increase flip count 


        if (str[i] != expected): 


            flipCount += 1


  


        # flip expected character each time 


        expected = flip(expected) 


    return flipCount 


  


# method return minimum flip to make binary 


# string alternate 


def minFlipToMakeStringAlternate(str): 


  


    # return minimum of following two 


    # 1) flips when alternate strign starts with 0 


    # 2) flips when alternate strign starts with 1 


    return min(getFlipWithStartingCharcter(str, '0'), 


            getFlipWithStartingCharcter(str, '1')) 


  


# Driver code to test above method 


if __name__ == "__main__": 


      


    str = "0001010111"


    print(minFlipToMakeStringAlternate(str)) 



















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C#














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// C# program to find minimum number of 


// flip to make binary string alternate 


using System; 


  


class GFG  


{ 


    // Utility method to 


    // flip a character 


    public static char flip(char ch) 


    { 


        return (ch == '0') ? '1' : '0'; 


    } 


      


    // Utility method to get minimum flips  


    // when alternate string starts with  


    // expected char 


    public static int getFlipWithStartingCharcter(String str, 


                                                char expected) 


    { 


        int flipCount = 0; 


        for (int i = 0; i < str.Length; i++) 


        { 


            // if current character is not  


            // expected, increase flip count 


            if (str[i] != expected) 


                flipCount++; 


      


            // flip expected character each time 


            expected = flip(expected); 


        } 


        return flipCount; 


    } 


      


    // method return minimum flip to  


    // make binary string alternate 


    public static int minFlipToMakeStringAlternate(string str) 


    { 


        // return minimum of following two 


        // 1) flips when alternate string starts with 0 


        // 2) flips when alternate string starts with 1 


        return Math.Min(getFlipWithStartingCharcter(str, '0'), 


                getFlipWithStartingCharcter(str, '1')); 


    } 


      


    // Driver Code 


    public static void Main() 


    { 


        string str = "0001010111"; 


        Console.Write(minFlipToMakeStringAlternate(str)); 


    } 


} 


  


// This code is contributed by nitin mittal. 



















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PHP














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<?php 


// PHP program to find minimum number of 


// flip to make binary string alternate 


  


// Utility method to flip a character 


function flip( $ch) 


{ 


    return ($ch == '0') ? '1' : '0'; 


} 


  


// Utility method to get minimum flips when 


// alternate string starts with expected char 


function getFlipWithStartingCharcter($str, 


                                $expected) 


{ 


      


    $flipCount = 0; 


    for ($i = 0; $i < strlen($str); $i++) 


    { 


          


        // if current character is not expected, 


        // increase flip count 


        if ($str[$i] != $expected) 


            $flipCount++; 


  


        // flip expected character each time 


        $expected = flip($expected); 


    } 


    return $flipCount; 


} 


  


// method return minimum flip to make binary 


// string alternate 


function minFlipToMakeStringAlternate( $str) 


{ 


      


    // return minimum of following two 


    // 1) flips when alternate strign starts with 0 


    // 2) flips when alternate strign starts with 1 


    return min(getFlipWithStartingCharcter($str, '0'), 


               getFlipWithStartingCharcter($str, '1')); 


} 


  


// Driver code to test above method 


$str = "0001010111"; 


echo minFlipToMakeStringAlternate($str); 


  


// This code is contributed by anuj_67. 


?> 



















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Output :


2





Minimum number of replacements to make the binary string alternating | Set 2


This article is contributed by Utkarsh Trivedi. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.


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