Problem: 2050C - Uninteresting Number
Language: java

Solution 1 (runtime: 311 ms):
import java.io.*;
import java.util.*;

public class UninterestingNumber {
    public static void main(String[] args) throws IOException {
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer tokenizer = new StringTokenizer(in.readLine());

        int t = Integer.parseInt(tokenizer.nextToken());
        ArrayList<String> ans = new ArrayList<>();

        for (int i = 0; i < t; i++) {
            tokenizer = new StringTokenizer(in.readLine());
            String n = tokenizer.nextToken();
            int num = simplify(n);

            if (num == 0) {
                ans.add("YES");
                continue;
            }

            int num2 = numTwos(n);
            int num3 = numThrees(n);

            boolean canAdd = false;

            if (num == 1) {
                if (num3 >= 1 && num2 >= 1) {
                    canAdd = true;
                } else if (num2 >= 4) {
                    canAdd = true;
                }
            } else if (num == 2) {
                if (num3 >= 2 && num2 >= 2) {
                    canAdd = true;
                } else if (num3 == 1 && num2 >= 5) {
                    canAdd = true;
                } else if (num2 >= 8) {
                    canAdd = true;
                }
            } else if (num == 3) {
                if (num3 >= 1 || num2 >= 3) {
                    canAdd = true;
                }
            } else if (num == 4) {
                if (num3 >= 2 && num2 >= 1) {
                    canAdd = true;
                } else if (num3 == 1 && num2 >= 4) {
                    canAdd = true;
                } else if (num2 >= 7) {
                    canAdd = true;
                }
            } else if (num == 5) {
                if (num2 >= 2) {
                    canAdd = true;
                }
            } else if (num == 6) {
                if (num3 >= 2) {
                    canAdd = true;
                } else if (num3 == 1 && num2 >= 3) {
                    canAdd = true;
                } else if (num2 >= 6) {
                    canAdd = true;
                }
            } else if (num == 7) {
                if (num2 >= 1) {
                    canAdd = true;
                }
            } else if (num == 8) {
                if (num3 >= 1 && num2 >= 2) {
                    canAdd = true;
                } else if (num2 >= 5) {
                    canAdd = true;
                }
            }

            if (canAdd) {
                ans.add("YES");
                continue;
            }
            ans.add("NO");
        }

        for (String s : ans) {
            System.out.println(s);
        }
    }

    public static int numTwos(String x) {
        int ret = 0;
        for (char a : x.toCharArray()) {
            if ((a - '0') == 2) ret++;
        }
        return ret;
    }

    public static int numThrees(String x) {
        int ret = 0;
        for (char a : x.toCharArray()) {
            if ((a - '0') == 3) ret++;
        }
        return ret;
    }

    public static int simplify(String x) {
        int ret = 0;
        for (char a : x.toCharArray()) {
            ret += (a - '0');
        }
        return ret % 9;
    }
}

Solution 2 (runtime: 484 ms):
import java.util.*;

public class C_Uninteresting_Number{
    static HashMap<Integer, Boolean> hm;
    public static boolean func(int num, int two, int three){
        if(num%9==0)return true;
        if(two==0&&three==0)return false;
        if(hm.containsKey(num))return hm.get(num);
        boolean t=false, th=false;
        if(two>0){
            t = func(num+2, two-1, three);
        }
        if(three>0){
            th = func(num+6, two, three-1);
        }
        hm.put(num, t|th);
        return t|th;
    }
    public static void main(String args[]){
        Scanner scn = new Scanner(System.in);
        int t = scn.nextInt();
        while(t-->0){
            String s = scn.next();
            int n = s.length();
            int num = 0;
            int two = 0, three=0;
            for(int i = 0; i < n; i++){
                num += (s.charAt(i)-'0');
                if(s.charAt(i)=='2')two++;
                if(s.charAt(i)=='3')three++;
            }
            hm = new HashMap<>();
            boolean ans = func(num, two, three);
            if(ans)
            System.out.println("YES");
            else System.out.println("NO");
        }
    }
}