Problem: 2061D - Kevin and Numbers
Language: java

Solution 1 (runtime: 936 ms):
import java.io.*;
import java.security.KeyStore.Entry;
import java.util.*;

public class Forest {
    static class Reader {
        final private int BUFFER_SIZE = 1 << 16;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;

        public Reader() {
            din = new DataInputStream(System.in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public Reader(String file_name) throws IOException {
            din = new DataInputStream(new FileInputStream(file_name));
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public String readLine() throws IOException {
            byte[] buf = new byte[64]; // line length
            int cnt = 0, c;
            while ((c = read()) != -1) {
                if (c == '\n')
                    break;
                buf[cnt++] = (byte) c;
            }
            return new String(buf, 0, cnt);
        }

        public int nextInt() throws IOException {
            int ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }

        public long nextLong() throws IOException {
            long ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }

        public double nextDouble() throws IOException {
            double ret = 0, div = 1;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');
            if (c == '.') {
                while ((c = read()) >= '0' && c <= '9') {
                    ret += (c - '0') / (div *= 10);
                }
            }
            if (neg)
                return -ret;
            return ret;
        }

        private void fillBuffer() throws IOException {
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            if (bytesRead == -1)
                buffer[0] = -1;
        }

        private byte read() throws IOException {
            if (bufferPointer == bytesRead)
                fillBuffer();
            return buffer[bufferPointer++];
        }

        public void close() throws IOException {
            if (din == null)
                return;
            din.close();
        }
    }

    static Reader sc = new Reader();
    static BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));

    public static void main(String args[]) throws IOException {
        @SuppressWarnings("unused")
        Reader sc = new Reader();
        long t = inputLong();
        while (t-- > 0) {
            long n = inputLong();
            long m = inputLong();
            long a[] = new long[(int) n];
            TreeMap<Long,Long>map=new TreeMap<>();
            long sum=0;
            for (int i = 0; i < n; i++) {
                a[i] = inputLong();
                sum+=a[i];
                map.put(a[i],map.getOrDefault(a[i], (long) 0)+1);
            }
            long sum1=0;
            // long b[] = new long[(int) n];
            ArrayList<Long>list=new ArrayList<>();
            for (int i = 0; i < m; i++) {
                list.add(inputLong());
                sum1+=list.get(i);
            }
            if(sum!=sum1){
                System.out.println("NO");continue;
            }
            boolean bool=true;
            while(!list.isEmpty()){
                long num=list.get(list.size()-1);
                if(map.containsKey(num)){
                    map.put(num,map.getOrDefault(num, (long) 0)-1);
                    list.remove(list.size()-1);
                    if(map.get(num)<=0){
                        map.remove(num);
                    }
                }else{
                    list.remove(list.size()-1);
                    if(num/2 ==0){bool=false;break;}
                    else if(ceil(num,2)==0){bool=false;break;}
                    list.add(num/2);
                    list.add(ceil1(num,2));
                }
                if(!bool)break;
            }
            if(!bool)System.out.println("NO");
            else System.out.println("YES");

        }
        bw.flush();
        bw.close();
    }

    public static long ceil1(long a, long b) {
        return (a + b - 1) / b;
    }


    public static boolean checker(long a[]) {
        for (int i = 0; i < a.length-1; i++) {
            if (a[i] > a[i+1])
                return false;
        }
        return true;
    }

    public static long divisor(long n) {
        long cnt = 0;
        for (long i = 1; i * i <= n; i++) {
            if (n % i == 0)
                cnt++;
            if ((n / i) % i == 0)
                cnt++;
        }
        return cnt;
    }

    public static long powerMod(long base, long exponent, long mod) {
        long result = 1;
        base = base % mod; // Ensure base is within the mod range

        while (exponent > 0) {
            // If exponent is odd, multiply base with result
            if ((exponent & 1) == 1) { // Same as (exponent % 2 != 0)
                result = (result * base) % mod;
            }
            // Now exponent must be even
            exponent = exponent >> 1; // Equivalent to exponent = exponent / 2
            base = (base * base) % mod; // Square the base
        }
        return result;
    }

    public static long sequence(long n) {
        if (n == 1)
            return 1;
        if (n % 2 == 0)
            return 1 + sequence(n / 2);
        else
            return 1 + sequence(3 * (n) + 1);
    }

    public static void matrix(int a[][], int b[][], int i, int j) {
        if (i >= a.length)
            return;
        if (j == a[0].length - 1) {
            System.out.println(a[i][j] + b[i][j]);
            matrix(a, b, i + 1, 0);
            return;
        }
        System.out.print(a[i][j] + b[i][j] + " ");
        matrix(a, b, i, j + 1);
    }

    public static boolean checker(String s) {
        String a = "1100";
        for (int i = 0; i < s.length() - 3; i++) {
            if (a.equals(s.substring(i, i + 4)))
                return true;
        }
        return false;
    }

    public static long ceil(long a, long b) {
        return (a + b - 1) / b;
    }

    public static int inputInt() throws IOException {
        return sc.nextInt();
    }

    public static long inputLong() throws IOException {
        return sc.nextLong();
    }

    public static double inputDouble() throws IOException {
        return sc.nextDouble();
    }

    public static String inputString() throws IOException {
        return sc.readLine();
    }

    public static void print(String a) throws IOException {
        bw.write(a);
    }

    public static void printSp(String a) throws IOException {
        bw.write(a + " ");
    }

    public static void println(String a) throws IOException {
        bw.write(a + "\n");
    }
}

Solution 2 (runtime: 718 ms):


import java.io.*;

import java.util.*;



public class bcf{









    //functions to reduce time

    public static BufferedReader br=new BufferedReader(new InputStreamReader(System.in));







    public static int max=Integer.MAX_VALUE, min=Integer.MIN_VALUE;

    public static long maxl=(long)1e9, minl=Long.MIN_VALUE;

    public static long mod=1000000007;

    public static void main(String[] swami) throws FileNotFoundException {



        try {

//            File file = new File("/home/swamikedari/Documents/IdeaProjects/cpContests/src/testcases.txt");

//

//            // Check if the file exists

//            if (file.exists() && !file.isDirectory()) {

//                br = new BufferedReader(new FileReader(file));

//            }

            int t=getint();

            while(t-->0){

                int n=getint(), m=getint();

                long[] a=getarrl(n);

                long[] b=getarrl(m);



                PriorityQueue<Long> qa=new PriorityQueue<>(Comparator.reverseOrder());

                PriorityQueue<Long> qb=new PriorityQueue<>(Comparator.reverseOrder());

                for(long v: a)qa.add(v);

                for(long v: b)qb.add(v);

                boolean notpossible=false;

                while(!qa.isEmpty() && !qb.isEmpty() && qb.size()<=qa.size()){

                    while(!qb.isEmpty() && !Objects.equals(qb.peek(), qa.peek()) && qb.size()<=qa.size()) {

                        long minb = qb.remove();

                        qb.add((long)Math.ceil((double)minb/2));

                        qb.add((long)Math.floor((double)minb/2));

                    }

                    if(!qb.isEmpty() && qb.size()<=qa.size()) { qb.remove();qa.remove();}

                    else { notpossible=true; break;}

                }

                //println(qa.toString());

                //println(qb.toString());

                if(!qa.isEmpty() || !qb.isEmpty() || notpossible)println("NO");

                else println("YES");

            }

        }

        catch(Exception e){

            System.out.println(e);

        }

    }





    public static char value(char a,char b){

        String set="SET";

        for(int i = 0; i<set.length(); i++){

            if(set.charAt(i)!=a && set.charAt(i)!=b)return set.charAt(i);

        }

        return '?';

    }



    public static boolean isgreat(int[][] a,int i,int j){

        int[] xi={-1,0,1,0};

        int[] yi={0,-1,0,1};

        boolean isbig=true;

        for(int ind=0;ind<4;ind++){

            if(isbd(i+xi[ind],j+yi[ind],a.length,a[0].length)){

                if(a[i][j]<=a[i+xi[ind]][j+yi[ind]]){

                    isbig=false;

                }

            }

        }

        return isbig;

    }



    public static int maxval(int[][] a,int i,int j){

        int[] xi={-1,0,1,0};

        int[] yi={0,-1,0,1};

        int val=0;

        for(int ind=0;ind<4;ind++){

            if(isbd(i+xi[ind],j+yi[ind],a.length,a[0].length)){

                val=Math.max(a[i+xi[ind]][j+yi[ind]],val);

            }

        }

        return val;

    }





    public static boolean isbd(int i,int j,int n,int m){

        if(i>=0 && i<n && j>=0 && j<m)return true;

        return false;

    }





    public static boolean getans(long[] a,int i,long x,long[] ans){

        ans[0]++;

        if(i<0){

            return false;

        }

        if(x<0){

            return false;

        }

        if(x==0){

            return true;

        }

        boolean take=false;

        if(a[i]<=x){

            take=getans(a,i,x-a[i],ans);

        }

        boolean nottake=getans(a,i-1,x,ans);

        return take|nottake;

    }



    public static int getans(char[] ch,int i,int j, int n,int[][] dp){

        if(i==n){

            return 0;

        }

        int ans=(int)1e9;

        if(dp[i][j]!=-1){

            return dp[i][j];

        }

        if(j==0){

            int val=0;

            for(int k=i;k<=n;k++){

                ans=Math.min(ans,getans(ch,k,1,n,dp)+val);

                if(k<n && ch[k]=='b'){

                    val++;

                }

            }



            return dp[i][j]=ans;

        }

        else if(j==1){

            int val=0;

            for(int k=i;k<=n;k++){

                ans=Math.min(ans,getans(ch,k,2,n,dp)+val);

                if(k<n && ch[k]=='a'){

                    val++;

                }

            }

            return dp[i][j]=ans;

        }

        else{

                ans=0;

                for(int k=i;k<n;k++){

                    if(ch[k]!='a'){

                        ans++;

                    }

                }

                //println(ans);

                return dp[i][j]=ans;



        }

    }



    public static void dfs(ArrayList<ArrayList<Integer>> ar,int i,boolean[] vis,ArrayList<Integer> val){



        vis[i]=true;

        val.add(Integer.valueOf(i));

        for(int k: ar.get(i)){

            if(!vis[k]){

                dfs(ar,k,vis,val);

            }

        }

    }







    public static void dfs(ArrayList<HashSet<Integer>> ar,int i,boolean[] v){

        //print(i+" ");

        v[i]=true;

        for(int k: ar.get(i)){

            if(!v[k]){

                dfs(ar,k,v);

            }

        }

    }





    static StringTokenizer st=new StringTokenizer("");

    static String next() {

        while (!st.hasMoreTokens())

            try {

                st=new StringTokenizer(br.readLine());

            } catch (IOException e) {

                e.printStackTrace();

            }

        return st.nextToken();

    }









    public static int[] getarr(int n){

        int[] a=new int[n];

        for(int i=0;i<n;i++){

            a[i]=getint();

        }

        return a;

    }



    public static long[] getarrl(int n){

        long[] a=new long[n];

        for(int i=0;i<n;i++){

            a[i]=getlong();

        }

        return a;

    }

    public  static int getint(){

        return Integer.parseInt(next());

    }



    public  static long getlong(){

        return Long.parseLong(next());

    }



    public static String getstr(){

        return next();

    }



    // print statements



    public static void println(int i){

        System.out.println(i);

    }

    public static void println(String k){

        System.out.println(k);

    }



    public static void println(long k){

        System.out.println(k);

    }

    public static void println(float k){

        System.out.println(k);

    }

    public static void println(char k){

        System.out.println(k);

    }

    public static void println(double k){System.out.println(k); }

    public static void println(){System.out.println();}

    public static void println(int[] a){

        System.out.println(Arrays.toString(a));

    }

    public static void println(long[] a){

        System.out.println(Arrays.toString(a));

    }

    public static void println(char[] a){

        System.out.println(Arrays.toString(a));

    }

    public static void println(float[] a){

        System.out.println(Arrays.toString(a));

    }

    public static void println(double[] a){

        System.out.println(Arrays.toString(a));

    }

    public static void print(int[] A) {

        for(int i : A) {

            System.out.print(i+" ");

        }

        System.out.println();

    }

    public static void print(long[] A) {

        for(long i : A) {

            System.out.print(i+" ");

        }

        System.out.println();

    }



    public static void print(int i){

        System.out.print(i);

    }

    public static void print(String k){

        System.out.print(k);

    }

    public static void print(double k){System.out.print(k); }

    public static void print(long k){

        System.out.print(k);

    }

    public static void print(float k){

        System.out.print(k);

    }

    public static void print(char k){

        System.out.print(k);

    }





    // mod by the number

    static long mod(long x) {

        return ((x%mod + mod)%mod);

    }



    // gcd

    public static long gcd(long i,long j){

        if(i==0){

            return j;

        }

        return gcd(j%i,i);

    }



    // lcm

    public static long lcm(long i,long j){

        return i*j/gcd(i,j);

    }





    public static int gcd(int i,int j){

        if(i==0){

            return j;

        }

        return gcd(j%i,i);

    }



    // lcm

    public static int lcm(int i,int j){

        return i*j/gcd(i,j);

    }



    // quick sort



    public static void quicksort(int[] a,int l,int h){

        if(l<h){

            int pivot=partition(a,l,h);

            quicksort(a,l,pivot-1);

            quicksort(a,pivot+1,h);

        }

    }



    public static int partition(int[] a,int l,int h){

        int i=l-1;

        int piv=a[h];

        for(int j=l;j<h;j++){

            if(a[j]<piv){

                i++;

                swap(a,i,j);

            }

        }

        swap(a,i+1,h);

        return i+1;

    }



    public static void quicksortrev(int[] a,int l,int h){

        if(l<h){

            int pivot=partitionrev(a,l,h);

            quicksortrev(a,l,pivot-1);

            quicksortrev(a,pivot+1,h);

        }

    }



    public static int partitionrev(int[] a,int l,int h){

        int i=l-1;

        int piv=a[h];

        for(int j=l;j<h;j++){

            if(a[j]>piv){

                i++;

                swap(a,i,j);

            }

        }

        swap(a,i+1,h);

        return i+1;

    }



    public static void swap(int[] a,int i,int j){

        int temp=a[i];

        a[i]=a[j];

        a[j]=temp;



    }







    // binarysearch for the input and between the input



    public static int bs(int[] a,int i,int j,int k,int n){

        if(i<=j){

            int mid=mid(i,j);

            if(mid+1<n && a[mid]<=k && a[mid+1]>k){

                return mid;

            }

            else if(a[mid]<=k && mid==n-1){

                return mid;

            }

            else if(a[mid]>k && mid==0){

                return mid;

            }

            else if(a[mid]<k){

                return  bs(a,mid+1,j,k,n);

            }

            else{

                return bs(a,i,mid-1,k,n);

            }

        }

        return -1;

    }



    public static int mid(int i,int j){

        return (i+j)/2;

    }



    public static int bs(long[] a,int i,int j,long  k,int n){

        if(i<=j){

            int mid=mid(i,j);

            if(mid+1<n && a[mid]<=k && a[mid+1]>k){

                return mid;

            }

            else if(a[mid]<=k && mid==n-1){

                return mid;

            }

            else if(a[mid]<k){

                return  bs(a,mid+1,j,k,n);

            }

            else{

                return bs(a,i,mid-1,k,n);

            }

        }

        return -1;

    }



    public static long mid(long i,long j){

        return (i+j)/2;

    }



    // converting the int value to the char value and vice versa

    public static int toint(char a){

        return (int)a-48;

    }



    public static int tochar(int a){

        return (char)(a+48);

    }



    // converting the small alphabet characters to index and vice-versa

    public static int chartoint(char a){

        return (int)a-97;

    }



    public static char inttochar(int a){

        return (char)(a+97);

    }





    // important dp problems memoization solutions



    public static int lcs(String a,String b,int i,int j,int[][] dp,boolean[][] vis){

        if(i<0 || j<0){

            return 0;

        }

        if(vis[i][j]){

            return dp[i][j];

        }

        vis[i][j]=true;

        if(a.charAt(i)==b.charAt(j)){

            return dp[i][j]=lcs(a,b,i-1,j-1,dp,vis)+1;

        }

        else{

            return dp[i][j]=lcs(a,b,i-1,j,dp,vis);

        }

    }



    // power functions



    public static long pow(long a,long b){

        long ans=1;

        while(b!=0){

            if(b%2==1){

                ans=(ans*a)%1000000007;

            }

            a=a*a;

            a=a%1000000007;

            b/=2;

        }

        return ans;

    }





    // min and max functions



    public static int max(int a, int b){

        return Math.max(a, b);

    }



    public static int min(int a, int b){

        return Math.min(a, b);

    }





    static int max(int[] A) {

        int max=Integer.MIN_VALUE;

        for (int j : A) {

            max = Math.max(max, j);

        }

        return max;

    }

    static int min(int[] A) {

        int min=Integer.MAX_VALUE;

        for (int j : A) {

            min = Math.min(min, j);

        }

        return min;

    }

    static long max(long[] A) {

        long max=Long.MIN_VALUE;

        for (long l : A) {

            max = Math.max(max, l);

        }

        return max;

    }

    static long min(long[] A) {

        long min=Long.MAX_VALUE;

        for (long l : A) {

            min = Math.min(min, l);

        }

        return min;

    }



    // prime numbers related functions

    public static ArrayList<Integer> sieveOfEratosthenes(int n)

    {

        ArrayList<Integer> primes = new ArrayList<>();

        boolean[] prime = new boolean[n+1];

        for(int i=0;i<=n;i++)

            prime[i] = true;



        for(int p = 2; p*p <=n; p++)

        {



            if(prime[p])

            {



                for(int i = p*p; i <= n; i += p)

                    prime[i] = false;

            }

        }





        for(int i = 2; i <= n; i++)

        {

            if(prime[i])

                primes.add(Integer.valueOf(i));

        }

        return primes;

    }





    // prefix sum arrays and suffix sum array



    public static long [] prefix(long [] A) {

        long[] p=new long[A.length];

        p[0]=A[0];

        for(int i=1;i<A.length;i++)

            p[i]=p[i-1]+A[i];

        return p;

    }

    public static long [] prefix(int [] A) {

        long[] p=new long[A.length];

        p[0]=A[0];

        for(int i=1;i<A.length;i++)

            p[i]=p[i-1]+A[i];

        return p;

    }

    public static long [] suffix(long [] A) {

        long[] p=new long[A.length];

        p[A.length-1]=A[A.length-1];

        for(int i=A.length-2;i>=0;i--)

            p[i]=p[i+1]+A[i];

        return p;

    }

    public static long [] suffix(int [] A) {

        long[] p=new long[A.length];

        p[A.length-1]=A[A.length-1];

        for(int i=A.length-2;i>=0;i--)

            p[i]=p[i+1]+A[i];

        return p;

    }





    // hash map direct storage using the arrays



    public static HashMap<Long,Long> hash(long [] A){

        HashMap<Long,Long> map=new HashMap<Long, Long>();

        for(long i : A) {

            if(map.containsKey(i)) {

                map.put(i, map.get(i)+(long)1);

            }

            else {

                map.put(i, (long)1);

            }

        }

        return map;

    }



    public static HashMap<Integer,Long> hash(int[] A){

        HashMap<Integer,Long> map=new HashMap<Integer, Long>();

        for(int i : A) {

            if(map.containsKey(i)) {

                map.put(i, map.get(i)+(long)1);

            }

            else {

                map.put(i, (long)1);

            }

        }

        return map;

    }





    public static HashMap<Character,Long> hash(char [] A){

        HashMap<Character,Long> map=new HashMap<Character,Long>();

        for(char i : A) {

            if(map.containsKey(i)) {

                map.put(i, map.get(i)+(long)1);

            }

            else {

                map.put(i, (long)1);

            }

        }

        return map;

    }



    // segment tree implementation

    public static int[] array=new int[100005];

    public static int[] segarray=new int[4*100005];



    public static void buildmax(int ind,int low,int high){

        int mid=mid(low,high);

        if(low==high){

            segarray[ind]=array[low];

        }

        buildmax(2*ind+1,low,mid);

        buildmax(2*ind+2,mid+1,high);

        segarray[ind]=max(array[2*ind+1],array[2*ind+2]);



    }



    public static int querymax(int ind,int low,int high,int l,int r){

        if(low>=l && high<=r){

            return segarray[ind];

        }

        if(high<l || low>r){

            return min;

        }

        int mid=mid(low,high);

        int left=querymax(2*ind+1,low,mid,l,r);

        int right=querymax(2*ind+2,mid+1,high,l,r);

        return max(left,right);

    }





    public static void buildsum(int ind,int low,int high){

        int mid=mid(low,high);

        if(low==high){

            segarray[ind]=array[low];

        }

        buildsum(2*ind+1,low,high);

        buildsum(2*ind+2,low,high);

        segarray[ind]=segarray[2*ind+1]+segarray[2*ind+2];

    }



    public static int querysum(int ind,int low,int high,int l,int r){

        if (low >= l && high <= r) {

            return segarray[ind];

        }

        if(high<l || low>r){

            return 0;

        }

        int mid=mid(low,high);

        int left=querysum(2*ind+1,low,mid,l,r);

        int right=querysum(2*ind+2,mid+1,high,l,r);

        return left+right;



    }



















}