Java 8

import java.io.; import java.util.;

public class Solution {

public static boolean isPalindrom(long a){
    long num=a,res=0;
    while (num!=0)
    {
        res= res*10+num%10; 
        num /=10;
    }     
    return (res==a)?true:false;
}

public static long reverse(long a){
    long res=0;
    while (a!=0)
    {
        res= res*10+a%10; 
        a /=10;
    }     
    return res;
}


public static long LychrelNumber(long data){
    int count =0;
    long res=data;
    while(count<60)
    {
        if(isPalindrom(res)) return res;
        res= res + reverse(res);
        count++;           
    }

    return -1;
}

public static void main(String[] args) {

    Scanner s = new Scanner(System.in);
    int data = s.nextInt();

    HashMap<Long, Integer> map =new HashMap<>();
    int maxCount=0;
    long maxLychrel=0;

    for(int i=1; i<=data;i++)
    {
        long temp= LychrelNumber(i);
        if(temp != -1)
        {
             map.put(temp, map.getOrDefault(temp, 0) + 1);

            if(map.get(temp) > maxCount) 
            {maxCount = map.get(temp);
             maxLychrel= temp;}
        }

    }

    System.out.println(maxLychrel + " " + maxCount); 
}

}

100 points. Python 3

non_lychrel={}
n=int(input().strip())
for i in range(10,n):
    j=0
    t=i
    while j<60 and str(t)!=str(t)[::-1]:
        t=t+int(str(t)[::-1])
        j+=1
    if str(t)==str(t)[::-1]:
        non_lychrel[t]=non_lychrel[t]+1 if t in non_lychrel else 1
m=max(non_lychrel,key=non_lychrel.get)
print(m,non_lychrel[m])

100points/- python3

end_palindromes=[]
def ispalindrome(x):
    x=str(x)
    return x==x[::-1]
n=int(input())
for i in range(1,n+1):
    iteration=0
    while iteration<60:
        if ispalindrome(i):
            end_palindromes.append(i)
            break
        i+=int(str(i)[::-1])
        iteration+=1

max_count=0
for i in sorted(set(end_palindromes)):
    y=end_palindromes.count(i)
    if y>max_count:
        answer=i
        max_count=y
    
print(answer,max_count)

Only 1 test case is getting passed even after using dictionary. Why?

HINT: For Python you should use dictionary instead of list to store values because it saves a lot of running time and space!