Count the Trains

Description:

Input:

The first line of input data contains a single integer $$$t$$$ ($$$1 \le t \le 10^4$$$) —the number of input test cases.

This is followed by descriptions of the test cases.

The first line of each test case is empty.

The second line of the test case contains two integers $$$n$$$ and $$$m$$$ ($$$1 \le n,m \le 10^5$$$) —the number of carriages and the number of messages to slow down the carriage, respectively.

The third line contains $$$n$$$ integers: $$$a_1, a_2, \dots, a_n$$$ ($$$0 \le a_i \le 10^9$$$) — the number $$$a_i$$$ means that the carriage with number $$$i$$$ can reach a speed of $$$a_i$$$ km/h.

The next $$$m$$$ lines contain two integers $$$k_j$$$ and $$$d_j$$$ ($$$1 \le k_j \le n$$$, $$$0 \le d_j \le a_{k_j}$$$) —this is the message that the speed of the carriage with number $$$k_j$$$ has decreased by $$$d_j$$$. In other words, there has been a change in its maximum speed $$$a_{k_j} = a_{k_j} - d_j$$$. Note that at any time the speed of each carriage is non-negative. In other words, $$$a_i \ge s_i$$$, where $$$s_i$$$ —is the sum of such $$$d_j$$$ that $$$k_j=i$$$.

It is guaranteed that the sum of $$$n$$$ over all test cases does not exceed $$$10^5$$$. Similarly, it is guaranteed that the sum of $$$m$$$ over all test cases does not exceed $$$10^5$$$.

Output:

Print $$$t$$$ lines. On each line print the answer for the corresponding test case.

For each test case print $$$m$$$ numbers: the number of trains formed after each message.

Sample Input:

3

4 2
6 2 3 7
3 2
4 7

5 4
10 13 5 2 6
2 4
5 2
1 5
3 2

13 4
769 514 336 173 181 373 519 338 985 709 729 702 168
12 581
6 222
7 233
5 117

Sample Output:

3 4 
4 4 2 3 
5 6 6 5 

Note:

For the first test case:

• Initially array $$$a = [6, 2, 3, 7]$$$.
• After the first message, the array $$$a = [6, 2, 1, 7]$$$. Accordingly, the speeds of the carriages are $$$[6, 2, 1, 1]$$$ and will form $$$3$$$ of the train.
• After the second message the array $$$a = [6, 2, 1, 0]$$$. Accordingly, the speeds of the carriages are $$$[6, 2, 1, 0]$$$, and $$$4$$$ of the train will be formed.

For the second test case:

• Initially, the array $$$a = [10, 13, 5, 2, 6]$$$.
• After the first message, the array $$$a = [10, 9, 5, 2, 6]$$$. Accordingly, the speeds of the carriages are equal: $$$[10, 9, 5, 2, 2]$$$, and $$$4$$$ of the train will be formed.
• After the second message the array $$$a = [10, 9, 5, 2, 4]$$$. Accordingly, the speeds of the carriages are $$$[10, 9, 5, 2, 2]$$$, and $$$4$$$ of the train will be formed.
• After the third message the array $$$a = [5, 9, 5, 2, 4]$$$. Accordingly, the speeds of the carriages are $$$[5, 5, 5, 2, 2]$$$, and $$$2$$$ of the train will be formed.
• After the fourth message the array $$$a = [5, 9, 3, 2, 4]$$$. Accordingly, the speeds of the carriages are $$$[5, 5, 3, 2, 2]$$$, and $$$3$$$ of the train will be formed.