14 Apr PMCA Sunday 10:00 Practice 04.18
Question:
Plasmatic loves playing with playdoughs in his spare times. Currently, he has a collection of N playdoughs, and the i_{th} playdough weighs a_{i} grams for each i from 1 to N. However, he is too busy practicing for IOI. As a result, he doesn’t have much time to play with the playdoughs. Instead, he gives you Q operations that he wants you to do with his collection of playdoughs, and each operation can be one of the two:

 1 x: Find all playdoughs that weighs exactly x grams then split the playdough into ⌈x/2⌉(round down) and ⌊x/2⌋(round up).
 2 y: Find the number of playdoughs that weighs exactly y grams.
As a good friend of him, you want to print the answers for all of the queries in the form of 2 y. Do not disappoint him!
Input Specification
First line contains two integers N and Q separated by a space.
The next line contains N integers a_{i}, the weight of each of his playdough originally.
The following Q lines each contains two spaceseparated integers, indicating a valid query.
Output Specification
Print the answer to each of the query of the second type, followed by a newline.
Sample Input 5 4 1 2 3 4 5 1 5 1 4 2 2 2 3 Sample Output 4 2
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