I have written this code; is it correct?

public static void main(String[] args){       
    int a[]=new int[]{0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15};
    int a_b[]=new int[a.length];
    a_b[0]=1;
    int int_max=0;
    int int_index=0;

    for (int i=0;i<a.length;i++){
        for (int j=0;j<i;j++){
            if (a[i]>a[j] && a_b[i]<(a_b[j]+1)){
                a_b[i]=a_b[j]+1; 
            }
        }       

        if (a_b[i]>int_max){
           int_max=a_b[i];
           int_index=i;
        }
    }

    int k=int_max+1;
    int list[]=new int[k];
    for (int i=int_index;i>0;i--){  
        if (a_b[i]==k-1){
            list[k-1]=a[i];
            k=a_b[i];
        }
    }

    for (int g=0;g<list.length;g++){
        System.out.println(list[g]);
    }        

}