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FrogJmp.js
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/**
*
* A small frog wants to get to the other side of the road. The frog is currently located at position X and wants to get to a position greater than or equal to Y. The small frog always jumps a fixed distance, D.
Count the minimal number of jumps that the small frog must perform to reach its target.
Write a function:
function solution(X, Y, D);
that, given three integers X, Y and D, returns the minimal number of jumps from position X to a position equal to or greater than Y.
For example, given:
X = 10
Y = 85
D = 30
the function should return 3, because the frog will be positioned as follows:
after the first jump, at position 10 + 30 = 40
after the second jump, at position 10 + 30 + 30 = 70
after the third jump, at position 10 + 30 + 30 + 30 = 100
Write an efficient algorithm for the following assumptions:
X, Y and D are integers within the range [1..1,000,000,000];
X ≤ Y.
*
* @param {*} X
* @param {*} Y
* @param {*} D
*/
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(X, Y, D) {
// write your code in JavaScript (Node.js 8.9.4)
if ((Y-X)%D == 0) {
return parseInt((Y-X)/D);
} else {
return parseInt(((Y-X)/D) + 1);
}
}