Medium
You are given an integer array weight
of length n
, representing the weights of n
parcels arranged in a straight line. A shipment is defined as a contiguous subarray of parcels. A shipment is considered balanced if the weight of the last parcel is strictly less than the maximum weight among all parcels in that shipment.
Select a set of non-overlapping, contiguous, balanced shipments such that each parcel appears in at most one shipment (parcels may remain unshipped).
Return the maximum possible number of balanced shipments that can be formed.
Example 1:
Input: weight = [2,5,1,4,3]
Output: 2
Explanation:
We can form the maximum of two balanced shipments as follows:
[2, 5, 1]
[4, 3]
It is impossible to partition the parcels to achieve more than two balanced shipments, so the answer is 2.
Example 2:
Input: weight = [4,4]
Output: 0
Explanation:
No balanced shipment can be formed in this case:
[4, 4]
has maximum weight 4 and the last parcel’s weight is also 4, which is not strictly less. Thus, it’s not balanced.[4]
have the last parcel weight equal to the maximum parcel weight, thus not balanced.As there is no way to form even one balanced shipment, the answer is 0.
Constraints:
2 <= n <= 105
1 <= weight[i] <= 109
import kotlin.math.max
class Solution {
fun maxBalancedShipments(weight: IntArray): Int {
var res = 0
var maxa = 0
for (a in weight) {
maxa = max(maxa, a)
if (a < maxa) {
res++
maxa = 0
}
}
return res
}
}