We have some permutation A
of [0, 1, ..., N - 1]
, where
N
is the length of A
.
The number of (global) inversions is the number of i < j
with 0 <= i
< j < N
and A[i] > A[j]
.
The number of local inversions is the number of i
with 0 <= i <
N
and A[i] > A[i+1]
.
Return true
if and only if the number of global inversions is equal to the
number of local inversions.
Example 1:
Input: A = [1,0,2] Output: true Explanation: There is 1 global inversion, and 1 local inversion.
Example 2:
Input: A = [1,2,0] Output: false Explanation: There are 2 global inversions, and 1 local inversion.
Note:
A
will be a permutation of [0, 1, ..., A.length - 1]
.A
will have length in range [1, 5000]
.