Problem: 2061D - Kevin and Numbers
Language: java

Solution 1 (runtime: 765 ms):

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;

public class Main {

    public static boolean isprime(long x) {
        if (x == 2 || x == 3 || x == 5) {
            return true;
        }
        for (long i = 2; i <= Math.sqrt(x); i++) {
            if (x % i == 0) {
                return false;
            }
        }
        return true;
    }

    public static long gcd(long a, long b) {
        if (a == 0) {
            return b;
        }
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }

    static void sort(long[] a) {
        ArrayList<Long> l = new ArrayList<>();
        for (long i : a) {
            l.add(i);
        }
        Collections.sort(l);
        for (int i = 0; i < a.length; i++) {
            a[i] = l.get(i);
        }
    }

    static void sortInt(int[] a) {
        ArrayList<Integer> l = new ArrayList<>();
        for (int i : a) {
            l.add(i);
        }
        Collections.sort(l);
        for (int i = 0; i < a.length; i++) {
            a[i] = l.get(i);
        }
    }

    public static class pair implements Comparable<pair> {

        int x;
        int y;

        public pair(int x, int y) {
            this.x = x;
            this.y = y;
        }

        @Override
        public int compareTo(pair a) {
            return this.x - a.x;
        }
    }

    public static class pp implements Comparable<pp> {

        long x;
        int y;

        public pp(long x, int y) {
            this.x = x;
            this.y = y;
        }

        @Override
        public int compareTo(pp a) {
            return this.y - a.y; // Corrected the order of comparison
        }
    }

    static Comparator<int[]> customComparator = new Comparator<int[]>() {
        @Override
        public int compare(int[] a, int[] b) {
            // First compare based on the values at index 0
            if (a[0] != b[0]) {
                return a[0] - b[0];
            } else {
                // If values at index 0 are equal, compare based on a[i][1] - a[i][0]
                return a[1] - a[0] - (b[1] - b[0]);
            }
        }
    };

    static long mod = 1_000_000_000 + 7;

    static long lm(long i, long lcm) {
        return (i * (lcm)) / (gcd(i, lcm));
    }

    static long fact[] = new long[200001];

    static long bipow(long x, long y) {
        long z = 1;
        while (y != 0) {
            if ((y & 1) != 0) {
                z = mul(z, x);
            }
            x = mul(x, x);
            y >>= 1;
        }
        return z;
    }

    // static long fact[];
    static long mul(long n, long m) {
        return (n * m) % mod;
    }

    public static long inver(long x) {
        return bipow(x, mod - 2);
    }

    public static long find_combin(long m, long n) {
        long y = mul(fact[(int) (m - n)], fact[(int) n]);
        return mul(fact[(int) m], inver(y));
    }

    public static long modularExponentiation(long a, long b, long m) {
        long result = 1;
        a = a % m; // Ensure 'a' is within the modulo range

        while (b > 0) {
            // If b is odd, multiply a with the result
            if ((b & 1) == 1) {
                result = (result * a) % m;
            }
            // Square a and halve b
            a = (a * a) % m;
            b >>= 1;
        }
        return result;
    }

    public static long modularInverse(long a, long m) {
        return modularExponentiation(a, m - 2, m);
    }
    static HashMap<Integer, Integer> map;

    public static void main(String[] args) {
        Scanner sc = new Scanner();

        int testcase = sc.nextInt();

        for (int ttt = 0; ttt < testcase; ttt++) {

            int n = sc.nextInt();

            int m = sc.nextInt();

            int arr[] = sc.readArray(n);
            int brr[] = sc.readArray(m);


            map = new HashMap<>();


            for (int i = 0; i < n; i++) {
                map.put(arr[i], map.getOrDefault(arr[i], 0) + 1);
            }

            int op = n - m;

            PriorityQueue<Integer> pq = new PriorityQueue<>(Collections.reverseOrder());


            for (int i = 0; i < m; i++) {
                pq.add(brr[i]);
            }

            boolean tt = true;

            while (op > 0 && pq.size() > 0 && map.size()>0) {
                int r = pq.remove();
                if (map.containsKey(r)) {
                    map.put(r, map.get(r) - 1);
                    if (map.get(r) == 0) {
                        map.remove(r);
                    }
                    continue;
                }
                else{
                    if(r==1){
                        tt = false;
                        break;
                    }
                    if(r%2==0){
                        pq.add(r/2);
                        pq.add(r/2);
                    }
                    else{
                        pq.add(r/2);
                        pq.add(r/2 + 1);
                    }
                }
                op--;
            }
            if(!tt){
                System.out.println("NO");continue;
            }

            while(!pq.isEmpty()){
                int r = pq.remove();
                if (map.containsKey(r)) {
                    map.put(r, map.get(r) - 1);
                    if (map.get(r) == 0) {
                        map.remove(r);
                    }
                }
                else {
                    tt = false;
                    break;
                }
            }

            if(map.size()>0){
                tt = false;
            }

            if(!tt){
                System.out.println("NO");continue;
            }

            System.out.println("YES");

        }

    }

    // 18 =  9 9 
    static class Scanner {

        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer st = new StringTokenizer("");

        String next() {
            while (!st.hasMoreTokens()) try {
                st = new StringTokenizer(br.readLine());
            } catch (IOException e) {
                e.printStackTrace();
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        int[] readArray(int n) {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextInt();
            }
            return arr;
        }

        long[] readLong(int n) {
            long[] arr = new long[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextLong();
            }
            return arr;
        }
    }
}


Solution 2 (runtime: 702 ms):
import java.util.*;
import java.io.*;
 
public class cp {
    static class Datamax implements Comparable<Datamax>{
        int idx;
        int val;
        public Datamax(int val,int idx){
            this.idx = idx;
            this.val = val;
        }
        @Override
        public int compareTo(Datamax p1){
            if(this.val<p1.val) return 1;
            return -1;
        }
    }
    static class Circle{
        int x;
        int y;
        int radius;
        public Circle(int x,int y,int radius){
            this.x = x;
            this.y = y;
            this .radius = radius;
        }
    }
    // static class Edge {
    //     int dst;
    //     int dir;
    //     public Edge(int dst,int dir){
    //         this.dir = dir;
    //         this.dst = dst;
    //     }
    // }
    public static PP.Reader cs = new PP.Reader(System.in);
    // public static Scanner cs = new Scanner(System.in);
    public static BufferedWriter writer = new BufferedWriter(new OutputStreamWriter(System.out));
    public static void main(String[] args) throws IOException{
        int tests = cs.nextInt();
        while(tests>0){
            tests--;
            solve();
        }
        // writer.flush();
        writer.close();
    }
    public static long mod = (long)Math.pow(10,9) + 7;
    public static long MOD = 998244353;
    public static int netchange = 0;
    public static boolean poss;
    // public static int nodes = 0;
    public static void solve() throws IOException{
        // long it = cs.nextLong();
        // int n = (int)it;
        int n = cs.nextInt();
        int m = cs.nextInt();
        // int k = cs.nextInt();
        // long k = cs.nextLong();  
        // String str = cs.next();
        // String strb = cs.next();
        // long[] arr = new long[n];
        // long[] brr = new long[m];
        HashMap<Long,Integer> hm = new HashMap<>();
        for(int i = 0; i < n; i++){
            long temp = cs.nextLong();
            if(hm.containsKey(temp)) hm.put(temp,hm.get(temp)+1);
            else hm.put(temp,1);
        }
        boolean answer = true;
        for(int i = 0; i < m; i++){
            long temp = cs.nextLong();
            if(!check_existence(hm, temp)){
                answer = false;
            }
        } 
        if(!hm.isEmpty() || !answer) System.out.println("No");
        else System.out.println("Yes");
    }
    //Write fxn here     
    public static boolean check_existence(HashMap<Long,Integer> hm,long element){
        if(hm.containsKey(element)){
            if(hm.get(element) == 1) hm.remove(element);
            else hm.put(element,hm.get(element)-1);
            return true;
        }
        if(element == 1) return false;
        long first = element/2;
        long second = element/2;
        if(element%2 == 1) second++;
        return check_existence(hm,first) && check_existence(hm,second);
    }
    public static void dfs(ArrayList<ArrayList<Integer>> graph,int curr,int changed[]){
        for(Integer nb : graph.get(curr)){
            if(changed[nb] != 0){
                if(changed[nb] == changed[curr]) poss = false;
            }
            else{
                if(changed[curr] == 1) changed[nb] = -1;
                else changed[nb] = 1;
                netchange += changed[nb];
                dfs(graph,nb, changed);
            }
        }
    }
    public static  int binary(int[] arr,int start,int end,int key){
        int mid = (int)start;
        int st = start;
        int en = end;
        while(start<=end){
            mid = (int)(start+end)/2;
            if(arr[mid]==key) return mid;
            else if(arr[mid]>key) end = mid-1;
            else if(arr[mid]<key) start = mid+1;
        }
        //if(end<start){
            if(end<st) end++;
            // if(start>en) start--;
            // if(Math.abs(arr[end]-key)<=Math.abs(arr[start]-key-1)){
                // return start;
            // }
            return end;
        //}
        //return mid+1;
    }
    public static long invmod(long A, long M)
    {
 
        for (int X = 1; X < (int)M; X++)
            if (((A % M) * (X % M)) % M == 1)
                return X;
        return 1;
    } 
    public static long gcd(long a,long b){
        long c = Math.min(a,b);
        long d = Math.max(a,b);
        if(d%c==0) return c;
        return gcd(c,d%c);
    }
    public static long divmod(long a,long b,long m){   //claculate (a/b)%m
        // a = a%m;b = b%m  // Include if not working
        long inv =  powermod(b, m-2, m);
        return (inv*a)%m;
    }
    static long powermod(long x, long y, long p) //calculate (x^y)%p
    {
        long res = 1;
        x = x % p; 
        while (y > 0) {
            if ((y & 1) > 0)
                res = (res * x) % p;
            y = y >> 1; 
            x = (x * x) % p;
        }
        return res;
    }
}

class PP {
    static String IN = "%s";
    static String OUT = "%s";

    static class Reader {
        BufferedReader br;
        StringTokenizer st;

        Reader(InputStream is) {
            br = new BufferedReader(new InputStreamReader(is));
        }

        String next() {
            try {
                while (st == null || !st.hasMoreTokens())
                    st = new StringTokenizer(br.readLine());
                return st.nextToken();
            } catch (Exception ignored) {
            }
            return null;
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }
    }
}