LogiQuest

170. First and Last Occurrence

EasyBinary Search

Print the first and last 0-based index of x in the sorted array, or -1 -1 if absent.

Input format

Line 1: n Line 2: n sorted integers Line 3: x

Output format

first last

Example 1

Input

6
5 7 7 8 8 10
8

Output

3 4

Example 2

Input

6
5 7 7 8 8 10
6

Output

-1 -1

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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