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/* this Code is the illustration of Boyer moore's voting algorithm to
find the majority element is an array that appears more than n/2 times in an array
where "n" is the length of the array.
For more information on the algorithm refer https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore_majority_vote_algorithm
 */
package Others;
import java.util.*;

public class BoyerMoore {
    public static int findmajor(int [] a){
int count=0; int cand=-1;
for(int i=0;i<a.length;i++){
    if(count==0){
        cand=a[i];
        count=1;
    }
    else {
        if (a[i] == cand)
            count++;
        else
            count--;
    }
}for (int i = 0; i < a.length; i++) {
            if (a[i] == cand)
                count++;}
        if (count > (a.length / 2))
            return cand;
        return -1;
}
    public static void main(String args[]){
        Scanner input=new Scanner(System.in);
        int n=input.nextInt();
        int a[]=new int[n];
        for(int i=0;i<n;i++){
            a[i]=input.nextInt();
        }
       System.out.println("the majority element is "+findmajor(a));

    }
}

BoyerMoore

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