Description

You are given a sequence of white (W) and black (B) bricks. The goal is to partition it into

some number of non-empty, contiguous blocks, each one having the same ratio of white and black

bricks.

Of course one can always "partition'7 the sequence into one single block (which is not very

interesting). We want, however, to have as manv blocks as possible. Consider for example the

following sequences and its partitions:

●BWWWBB

BW + WWBB (rati0 1:1)

~ WWWBBBWWWWWWWWWB

WWWB + BBWWWWWW + WWWB (rati0 3:1)

Note that both of these partitions are optimal with respect to the number of blocks

Format

Input

The first line of input contains the number of test cases T. The descriptions of the test cases

follow:

Each test case starts with one line containing an integer n (1《 n≤ 105) which is the length of

the description of a sequence. Each of the following n lines consists of an integer k (1≤ k < 10^9)

and one of the characters W or B, meaning that k bricks of the given color follow next in the

sequence. It is guaranteed that the total length of the brick sequence does not exceed 10^9.

Output

For each test case, output a single line containing the largest possible number of blocks

Example

Samples

3
3
1 B
3 W
2 B
4
3 W
3 B
9 W
1 B
2
2 W
3 W

2
3
5