Problem: 2050B - Transfusion
Language: java

Solution 1 (runtime: 312 ms):
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;

public class Main {
    public static void main(String[] args) throws IOException {
        BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
        List<String> inputs = new ArrayList<>();
        String line;

        int t = Integer.parseInt(reader.readLine());

        while((line = reader.readLine()) != null) {
            inputs.add(line);
        }

        String[] result = new String[t];

        int j = 0;

        for(int i = 0; i < t; i++){
            int n = Integer.parseInt(inputs.get(j));
            String[] strings = inputs.get(j+1).split(" ");
            j += 2;

            int[] data = new int[n];

            for(int k = 0; k < n; k++){
                data[k] = Integer.parseInt(strings[k]);
            }

            result[i] = solution(data);
        }

        for(String r: result){
            System.out.println(r);
        }
    }

    public static String solution(int[] nums){
        double oddT = 0;
        int o = 0;

        double evenT = 0;
        int e = 0;

        for(int i = 0; i < nums.length; i++){
            if(i%2 == 0){
                evenT += nums[i];
                e += 1;
            }
            else{
                oddT += nums[i];
                o += 1;
            }
        }

        if((oddT+evenT) % nums.length != 0){
            return "NO";
        }

        boolean ans = oddT/o == evenT/e;


        if(ans){
            return "YES";
        }
        return "NO";


    }


}


Solution 2 (runtime: 202 ms):
import java.io.*;

import java.util.*;



public class Code {



    // Input and Output

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

    static PrintWriter out = new PrintWriter(System.out);



    // For parsing integers, longs, and strings efficiently

    static StringTokenizer st;



    // Entry point

    public static void main(String[] args) throws IOException {

        int t; // Number of test cases

        t = nextInt(); // Uncomment this line if multiple test cases

        while (t-- > 0) {

            solve(); // Call the solve function for each test case

        }

        out.close(); // Close the output stream

    }







    // Solve function for each test case



    static void solve() throws IOException {

        int n = nextInt();



        int[] arr= new int[n];

        long evensum = 0,oddsum=0;



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

            arr[i] = nextInt();



            if(i%2==0){

                evensum+=arr[i];

            }

            else{

                oddsum+= arr[i];

            }

        }

        int evencount = n%2==0?n/2:n/2+1;

        boolean flag = true;



        if((evensum+oddsum)%n == 0){

            if( !(evensum%evencount == 0 && evensum/evencount == (evensum+oddsum)/n &&  oddsum%(n-evencount) == 0 && oddsum/(n-evencount) == (evensum+oddsum)/n) ){

                flag =false;

            }

        }

        else{

            flag = false;

        }



        out.println(flag?"YES":"NO");



    }



    // Utility methods for faster input

    static String next() throws IOException {

        while (st == null || !st.hasMoreTokens()) {

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

        }

        return st.nextToken();

    }



    static int nextInt() throws IOException {

        return Integer.parseInt(next());

    }



    static long nextLong() throws IOException {

        return Long.parseLong(next());

    }



    static double nextDouble() throws IOException {

        return Double.parseDouble(next());

    }



    char nextChar() {

        try {

            return (char) br.read();

        } catch (IOException e) {

            e.printStackTrace();

            return '\0'; // Return null character in case of an error

        }

    }



    static String nextLine() throws IOException {

        return br.readLine();

    }



    // Utility functions

    static int gcd(int a, int b) {

        if (b == 0) return a;

        return gcd(b, a % b);

    }



    static int lcm(int a, int b) {

        return a * (b / gcd(a, b));

    }



    static boolean isPrime(int n) {

        if (n <= 1) return false;

        if (n <= 3) return true;

        if (n % 2 == 0 || n % 3 == 0) return false;

        for (int i = 5; i * i <= n; i += 6) {

            if (n % i == 0 || n % (i + 2) == 0) return false;

        }

        return true;

    }



    static long power(long x, long y, long p) {

        long res = 1;

        x = x % p;

        while (y > 0) {

            if ((y & 1) == 1)

                res = (res * x) % p;

            y = y >> 1;

            x = (x * x) % p;

        }

        return res;

    }



    public static void sort(int[] arr)

    {

        //because Arrays.sort() uses quicksort which is dumb

        //Collections.sort() uses merge sort

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

        for(int x: arr)

            ls.add(x);

        Collections.sort(ls);

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

            arr[i] = ls.get(i);

    }



    public static void sort(long[] arr)

    {

        //because Arrays.sort() uses quicksort which is dumb

        //Collections.sort() uses merge sort

        ArrayList<Long> ls = new ArrayList<Long>();

        for(long x: arr)

            ls.add(x);

        Collections.sort(ls);

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

            arr[i] = ls.get(i);

    }

}