import java.math.BigDecimal;
import java.math.RoundingMode;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {


		//Scanner Initialization
		Scanner input = new Scanner(System.in);


		//Variable Initialization
		double time1;
		double time2;
		double velocity1;
		double velocity2;
		double momentum1;
		double momentum2;
		double errorMomentum1;
		double errorMomentum2;
		double errorVelocity1;
		double errorVelocity2;
		double percentDifferent;

		time1 = time2 = velocity1 = velocity2 = momentum1 = momentum2 = errorMomentum1 = errorMomentum2 = errorVelocity1 = errorVelocity2 = percentDifferent = 0;

		double distance = .0249;
		double mass1 = 491.45;
		double mass2 = 496.51;
		double combinedMass = mass1 + mass2;
		double distanceError = .0002;
		double timeError = .00005;
		double massError = .1;
		double combinedMassError = .2;


		//Input
		System.out.println("Input time 1: ");
		time1 = input.nextDouble();
		System.out.println("Input time 2: ");
		time2 = input.nextDouble();


		//Math
		velocity1 = distance / time1;
		velocity2 = distance / time2;
		momentum1 = mass1 * velocity1;
		momentum2 = combinedMass * velocity2;
		double input1;
		double input2;

		input1 = ((1/time1) * distanceError);
		input2 = ( (-(distance/(Math.pow(time1, 2)))) * timeError );
		errorVelocity1 = Math.sqrt( (Math.pow( input1, 2)) + (Math.pow( input2, 2)) );

		input1 = ((1/time2) * distanceError);
		input2 = ( (-(distance/(Math.pow(time2, 2)))) * timeError );
		errorVelocity2 = Math.sqrt( (Math.pow( input1, 2)) + (Math.pow( input2, 2)) );

		input1 = (velocity1 * massError);
		input2 = (mass1 * errorVelocity1);
		errorMomentum1 = Math.sqrt( (Math.pow(input1, 2)) + (Math.pow(input2, 2)) );

		input1 = (velocity2 * combinedMassError);
		input2 = (combinedMass * errorVelocity2);
		errorMomentum2 = Math.sqrt( (Math.pow(input1, 2)) + (Math.pow(input2, 2)) );

		input1 = Math.abs(momentum1 - momentum2);
		input2 = (.5 * (momentum1 + momentum2));
		percentDifferent = (input1/input2) * 100;


		//Rounding
		momentum1 = (Math.round(momentum1 * 100.0)) / 100.0;
		errorMomentum1 = (Math.round(errorMomentum1 * 100.0)) / 100.0;

		momentum2 = (Math.round(momentum2 * 100.0)) / 100.0;
		errorMomentum2 = (Math.round(errorMomentum2 * 100.0)) / 100.0;

		velocity1 = (Math.round(velocity1 * 10000.0)) / 10000.0;
		errorVelocity1 = (Math.round(errorVelocity1 * 10000.0)) / 10000.0;

		velocity2 = (Math.round(velocity2 * 10000.0)) / 10000.0;
		errorVelocity2 = (Math.round(errorVelocity2 * 10000.0)) / 10000.0;


		//Formatting and Printing
		String finalMomentum1 = momentum1 + " ± " + errorMomentum1;
		String finalMomentum2 = momentum2 + " ± " + errorMomentum2;
		String finalVelocity1 = velocity1 + " ± " + errorVelocity1;
		String finalVelocity2 = velocity2 + " ± " + errorVelocity2;

		System.out.println("Momentum 1:  " + finalMomentum1);
		System.out.println("Momentum 2:  " + finalMomentum2);
		System.out.println("Velocity 1:  " + finalVelocity1);
		System.out.println("Velocity 2:  " + finalVelocity2);
		System.out.println("Percent Difference:  " + percentDifferent);

	}

}