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# [Number Line Jumps](https://www.hackerrank.com/challenges/kangaroo) | ||
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Difficulty: #easy | ||
Category: #implementation | ||
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You are choreographing a circus show with various animals. | ||
For one act, you are given two kangaroos on a number line ready to jump in | ||
the positive direction (i.e, toward positive infinity). | ||
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The first kangaroo starts at location x1 and moves at a rate of v1 meters | ||
per jump. | ||
The second kangaroo starts at location x2 and moves at a rate of v2 meters | ||
per jump. | ||
You have to figure out a way to get both kangaroos at the same location at | ||
the same time as part of the show. If it is possible, return YES, otherwise | ||
return NO. | ||
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## Example | ||
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$ x1 = 2 $ \ | ||
$ v1 = 1 $ \ | ||
$ x2 = 1 $ \ | ||
$ v2 = 2 $ | ||
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After one jump, they are both at $ x = 3 $, $ (x1 + v1 = 2 + 1, x2 + v2 = 1 + 2) $, | ||
so the answer is YES. | ||
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## Function Description | ||
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Complete the function kangaroo in the editor below. | ||
kangaroo has the following parameter(s): | ||
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- int x1, int v1: starting position and jump distance for kangaroo 1 | ||
- int x2, int v2: starting position and jump distance for kangaroo 2 | ||
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## Returns | ||
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- string: either YES or NO | ||
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## Input Format | ||
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A single line of four space-separated integers denoting the respective | ||
values of $ x1 $, $ v1 $, $ x2 $, and $ v2 $. | ||
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## Constraints | ||
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$ 0 \leq x1 < x2 \leq 10000 $ \ | ||
$ 1 \leq v1 \leq 10000 $ \ | ||
$ 1 \leq v2 \leq 10000 $ | ||
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## Sample Input 0 | ||
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```text | ||
0 3 4 2 | ||
``` | ||
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## Sample Output 0 | ||
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```text | ||
YES | ||
``` | ||
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## Explanation 0 | ||
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The two kangaroos jump through the following sequence of locations: | ||
[Number Line Jumps](https://s3.amazonaws.com/hr-assets/0/1516005283-e74e76ff0c-kangaroo.png) | ||
From the image, it is clear that the kangaroos meet at the same location | ||
(number 12 on the number line) after same number of jumps (4 jumps), | ||
and we print YES. | ||
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Sample Input 1 | ||
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```text | ||
0 2 5 3 | ||
``` | ||
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Sample Output 1 | ||
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``` text | ||
NO | ||
``` | ||
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## Explanation 1 | ||
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The second kangaroo has a starting location that is ahead (further to the | ||
right) of the first kangaroo's starting location (i.e., $ x2 > x1 $). | ||
Because the second kangaroo moves at a faster rate (meaning $ v2 > v1 $) and is | ||
already ahead of the first kangaroo, the first kangaroo will never be able | ||
to catch up. Thus, we print NO. |
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