This time, you are supposed to find A+B where A and B are two polynomials.

Input

Each input file contains one test case. Each case occupies 2 lines, and each line contains the information of a polynomial: K N1 aN1 N2 aN2 ... NK aNK, where K is the number of nonzero terms in the polynomial, Ni and aNi (i=1, 2, ..., K) are the exponents and coefficients, respectively.  It is given that 1 <= K <= 10,0 <= NK < ... < N2 < N1 <=1000.

Output

For each test case you should output the sum of A and B in one line, with the same format as the input.  Notice that there must be NO extra space at the end of each line.  Please be accurate to 1 decimal place.

Sample Input

2 1 2.4 0 3.2
2 2 1.5 1 0.5

Sample Output

3 2 1.5 1 2.9 0 3.2
 import java.util.LinkedList;
import java.util.Queue;
import java.util.Scanner; public class Main {
public static void main(String[] args) {
Queue<A> q1 = new LinkedList<A>();
Queue<A> q2 = new LinkedList<A>();
Queue<A> q3 = new LinkedList<A>();
Scanner input = new Scanner(System.in);
int n = input.nextInt();
for(int i=0;i<n;i++){
A a = new A();
a.a = input.nextInt();
a.b = input.nextDouble();
q1.add(a);
}
int m = input.nextInt();
for(int i=0;i<m;i++){
A a = new A();
a.a = input.nextInt();
a.b = input.nextDouble();
q2.add(a);
}
while(!q1.isEmpty()&&!q2.isEmpty()){
int a1 = q1.peek().a;
double b1 = q1.peek().b;
int a2 = q2.peek().a;
double b2 = q2.peek().b;
A a = new A();
if(a1==a2){
a.a = a1;
a.b = b1+b2;
q1.poll();
q2.poll();
}if(a1>a2){
a.a = a1;
a.b = b1;
q1.poll();
}if(a1<a2){
a.a = a2;
a.b = b2;
q2.poll();
}
if(a.b!=0)
q3.add(a);
}
while(!q1.isEmpty()){
q3.add(q1.poll());
}
while(!q2.isEmpty()){
q3.add(q2.poll());
}
System.out.print(q3.size()); while(!q3.isEmpty()){
System.out.print(" "+q3.peek().a+" ");
System.out.printf("%.1f",q3.peek().b);
q3.poll();
} }
}
class A{
int a;
double b;
}

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