import java.util.*;

public class Main {
    public static void main(String[] args) {
        List<Long> result = waysToChooseSum(200L, 210L);
        System.out.println(result);
    }

    public static List<Long> waysToChooseSum(long lowLimit, long highLimit) {

        // Create a list to store the result i.e total number of ways to choose sum so that max possible participants win the lottery
        List<Long> finalResult = new ArrayList<>();

        // Create a list to store Sum of digits of each number
        List<Long> listDigit = new ArrayList<>();

        // Loop through the lowLimit and highLimit to get the List of Sum of digits of each number
        for (Long i = lowLimit; i <= highLimit; i++) {
            Long j = i;
            Long sum = 0L;
            while (j != 0) {
                sum = sum + j % 10;
                j /= 10L;
            }
            listDigit.add(sum);
        }

        // Create a HashMap to store the number of times each sum appears in the listDigit array
        // The key would be each unique number in listDigit and the value would be the number of times it appears in the listDigit array
        Map<Long,Long> map = new HashMap<>();
        for(Long i: listDigit) {
            if(map.containsKey(i)) {
                map.put(i, map.get(i) + 1L);
            }else {
                map.put(i, 1L);
            }
        }

        // The max number of winners will be the maximum value in the map
        Long winners = Collections.max(map.values());

        // To get the number of winners, count the number of keys that have the maximum values in the map
        Long ways = 0L;
        for (Long sum : map.values()) {
            if(Objects.equals(sum, winners)){
                ways++;
            }
        }

        finalResult.add(ways);
        finalResult.add(winners);

        return finalResult;
    }
}