## MNYC '17: Bells

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Points: 17 (partial)
Time limit: 1.0s
Memory limit: 256M

Author:
Problem type

There are bells arranged in a line, labelled to . The bell has a frequency of Hz . There are operations to perform.

There are two types of operations:

• 1 i f Replace the bell with one with a frequency of Hz.
• 2 l r Output the number of distinct frequencies between the and bell (inclusive).

There will be at most distinct frequencies at a time.

Fast input may be required.

#### Constraints

For 10% of the points, .

For 90% of the points, .

#### Input Specification

The first line contains two space separated integers, , respectively the number of bells and the number of queries.

The next line contains space separated integers, the frequency of the bells.

The next lines each contain a query in the format described above.

#### Output Specification

Output a single integer on its own line for each type 2 query.

#### Sample Input

6 3
1 2 1 4 4 2
2 1 6
1 2 1
2 1 3

#### Sample Output

3
1

#### Explanation for Sample Output

In the beginning, there are only 3 distinct frequencies which the bells have, 1 Hz, 2 Hz, and 4 Hz. After switching the second bell with one with a frequency of 1 Hz. There is only one distinct frequency among the first 3 bells.