Medium
You are given a strictly increasing integer array rungs
that represents the height of rungs on a ladder. You are currently on the floor at height 0
, and you want to reach the last rung.
You are also given an integer dist
. You can only climb to the next highest rung if the distance between where you are currently at (the floor or on a rung) and the next rung is at most dist
. You are able to insert rungs at any positive integer height if a rung is not already there.
Return the minimum number of rungs that must be added to the ladder in order for you to climb to the last rung.
Example 1:
Input: rungs = [1,3,5,10], dist = 2
Output: 2
Explanation:
You currently cannot reach the last rung.
Add rungs at heights 7 and 8 to climb this ladder.
The ladder will now have rungs at [1,3,5,7,8,10].
Example 2:
Input: rungs = [3,6,8,10], dist = 3
Output: 0
Explanation: This ladder can be climbed without adding additional rungs.
Example 3:
Input: rungs = [3,4,6,7], dist = 2
Output: 1
Explanation:
You currently cannot reach the first rung from the ground.
Add a rung at height 1 to climb this ladder.
The ladder will now have rungs at [1,3,4,6,7].
Constraints:
1 <= rungs.length <= 105
1 <= rungs[i] <= 109
1 <= dist <= 109
rungs
is strictly increasing.class Solution {
fun addRungs(rungs: IntArray, dist: Int): Int {
var addons = 0
var currentHeight = 0
var i = 0
while (i < rungs.size) {
val nextRung = rungs[i]
if (nextRung - currentHeight <= dist) {
currentHeight = nextRung
i++
} else {
val adds = (nextRung - currentHeight - 1) / dist
addons += adds
currentHeight += dist * adds
}
}
return addons
}
}