Hard
There is a one-dimensional garden on the x-axis. The garden starts at the point 0
and ends at the point n
. (i.e The length of the garden is n
).
There are n + 1
taps located at points [0, 1, ..., n]
in the garden.
Given an integer n
and an integer array ranges
of length n + 1
where ranges[i]
(0-indexed) means the i-th
tap can water the area [i - ranges[i], i + ranges[i]]
if it was open.
Return the minimum number of taps that should be open to water the whole garden, If the garden cannot be watered return -1.
Example 1:
Input: n = 5, ranges = [3,4,1,1,0,0]
Output: 1
Explanation: The tap at point 0 can cover the interval [-3,3]
The tap at point 1 can cover the interval [-3,5]
The tap at point 2 can cover the interval [1,3]
The tap at point 3 can cover the interval [2,4]
The tap at point 4 can cover the interval [4,4]
The tap at point 5 can cover the interval [5,5]
Opening Only the second tap will water the whole garden [0,5]
Example 2:
Input: n = 3, ranges = [0,0,0,0]
Output: -1
Explanation: Even if you activate all the four taps you cannot water the whole garden.
Constraints:
1 <= n <= 104
ranges.length == n + 1
0 <= ranges[i] <= 100
class Solution {
fun minTaps(n: Int, ranges: IntArray): Int {
if (n == 0 || ranges.size == 0) {
return if (n == 0) 0 else -1
}
val dp = IntArray(n + 1)
var nxtLargest = 0
var current = 0
var amount = 0
for (i in ranges.indices) {
if (ranges[i] > 0) {
val ind = Math.max(0, i - ranges[i])
dp[ind] = Math.max(dp[ind], i + ranges[i])
}
}
for (i in 0..n) {
nxtLargest = Math.max(nxtLargest, dp[i])
if (i == current && i < n) {
current = nxtLargest
amount++
}
if (current < i) {
return -1
}
}
return amount
}
}