A child is playing with a ball on the nth floor of a tall building. The height of this floor, h, is known.
He drops the ball out of the window. The ball bounces (for example), to two-thirds of its height (a bounce of 0.66).
His mother looks out of a window 1.5 meters from the ground.
How many times will the mother see the ball pass in front of her window (including when it's falling and bouncing?
Three conditions must be met for a valid experiment:
- Float parameter "h" in meters must be greater than 0
- Float parameter "bounce" must be greater than 0 and less than 1
- Float parameter "window" must be less than h.
If all three conditions above are fulfilled, return a positive integer, otherwise return -1.
Note:
The ball can only be seen if the height of the rebounding ball is stricty greater than the window parameter.
Example:
- h = 3, bounce = 0.66, window = 1.5, result is 3 - h = 3, bounce = 1, window = 1.5, result is -1 (Condition 2) not fulfilled).
public class BouncingBall {
public static int bouncingBall(double h, double bounce, double window) {
// your code
System.out.println("high:" + h + " bounce:" + bounce + " window" + window);
if(window >= h || bounce >= 1 || bounce <=0)return -1;
int res = 1;
while((h *= bounce) > window){
res+=2;
}
return res;
}
}
Test Cases:
import static org.junit.Assert.*;
import java.util.Random;
import org.junit.Test;
public class BouncingBallTest {
@Test
public void test1() {
assertEquals(3, BouncingBall.bouncingBall(3.0, 0.66, 1.5));
}
@Test
public void test2() {
assertEquals(15, BouncingBall.bouncingBall(30.0, 0.66, 1.5));
}
@Test
public void test3() {
assertEquals(21, BouncingBall.bouncingBall(30, 0.75, 1.5));
}
@Test
public void test4() {
assertEquals(3, BouncingBall.bouncingBall(30, 0.4, 10));
}
@Test
public void test5() {
assertEquals(3, BouncingBall.bouncingBall(40, 0.4, 10));
}
@Test
public void test6() {
assertEquals(-1, BouncingBall.bouncingBall(10, 0.6, 10));
}
@Test
public void test7() {
assertEquals(-1, BouncingBall.bouncingBall(40, 1, 10));
}
@Test
public void test8() {
assertEquals(-1, BouncingBall.bouncingBall(-5, 0.66, 1.5));
}
@Test
public void test9() {
assertEquals(-1, BouncingBall.bouncingBall(5, -1, 1.5));
}
public static int bouncingBallTest(double h, double bounce, double window) {
if ((h <= 0) || (window >= h) || (bounce <= 0) || (bounce >= 1))
return -1;
int seen = -1;
while (h > window) {
seen += 2;
h = h * bounce;
}
return seen;
}
@Test
public void test() {
Random rnd = new Random();
double[] someheights = new double[] { 12, 10.5, 144, 233, 15.25, 61, 98, 15.9, 25.8, 41.8, 67, 109, 17, 28, 46,
7.5, 12.20, 19, 3, 5, 83, 13, 21, 35.5, 57, 92, 14, 24, 39, 6.5 };
double[] someBounces = new double[] { 0.6, 0.6, 0.6, 0.6, 0.6, 1.1, 9, 1, 0.6, 0.6, 0.6, 0.75, 0.75, 0.75, 0.75,
0.75, 12.20, 0.75, 0.75, 0.83, 0.13, 0.21, 0.35, 0.57, 0.9, 0.14, 0.24, 0.39, 0.65, 0.65 };
double[] somewin = new double[] { 1.5, 1.5, 1.44, 2.33, 1, 6.1, 9.8, 1.9, 2.8, 4.8, 3, 1.09, 1.7, 2.8, 46, 7.5,
12.20, 1.9, 3, 5, 0.83, 1.3, 2.1, 3.5, 0.57, 0.92, 1.4, 2.4, 3.9, 6.5 };
for (int k = 0; k < 10; k++) {
int rn = rnd.nextInt(29);
double f1 = someheights[rn];
double f2 = someBounces[rn];
double f3 = somewin[rn];
System.out.println("Random test " + k);
assertEquals(BouncingBallTest.bouncingBallTest(f1, f2, f3), BouncingBall.bouncingBall(f1, f2, f3));
}
}
}
public class BouncingBall {
public static int bouncingBall(double h, double bounce, double window) {
if ((h <= 0) || (window >= h) || (bounce <= 0) || (bounce >= 1))
return -1;
int seen = -1;
while (h > window) {
seen += 2;
h = h * bounce;
}
return seen;
}
}
public class BouncingBall {
public static int bouncingBall(double h, double bounce, double window) {
if (h > 0 && 0 < bounce && bounce < 1 && window < h)
return 1 + 2 * (int) Math.floor(Math.log(window / h) / Math.log(bounce));
else
return -1;
}
}
public class BouncingBall {
public static int bouncingBall(double h, double bounce, double window) {
if (h <= 0 || bounce <= 0 || bounce >= 1 || window >= h) {
return -1;
}
return 2 + bouncingBall(h * bounce, bounce, window);
}
}