Mr. Perfectly Fine

Description:

Input:

The input consists of multiple test cases. The first line contains an integer $$$t$$$ ($$$1 \leq t \leq 1000$$$) — the number of test cases. The description of the test cases follows.

The first line of each test case contains an integer $$$n$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$) — the number of books available.

Then $$$n$$$ lines follow. Line $$$i$$$ contains a positive integer $$$m_i$$$ ($$$1 \leq m_i \leq 2 \cdot 10^5$$$) and a binary string of length $$$2$$$, where $$$s_{i1} = 1$$$ if reading book $$$i$$$ acquires Victor skill $$$1$$$, and $$$s_{i1} = 0$$$ otherwise, and $$$s_{i2} = 1$$$ if reading book $$$i$$$ acquires Victor skill $$$2$$$, and $$$s_{i2} = 0$$$ otherwise.

It is guaranteed that the sum of $$$n$$$ over all test cases doesn't exceed $$$2 \cdot 10^5$$$.

Output:

For each test case, output a single integer denoting the minimum amount of minutes required for Victor to obtain both needed skills and $$$-1$$$ in case it's impossible to obtain the two skills after reading any amount of books.

Sample Input:

6
4
2 00
3 10
4 01
4 00
5
3 01
3 01
5 01
2 10
9 10
1
5 11
3
9 11
8 01
7 10
6
4 01
6 01
7 01
8 00
9 01
1 00
4
8 00
9 10
9 11
8 11

Sample Output:

7
5
5
9
-1
8

Note:

In the first test case, we can use books $$$2$$$ and $$$3$$$, with a total amount of minutes spent equal to $$$3 + 4 = 7$$$.

In the second test case, we can use the books $$$1$$$ and $$$4$$$, with a total amount of minutes spent equal to $$$3 + 2 = 5$$$.

In the third test case, we have only one option and that is reading book $$$1$$$ for a total amount of minutes spent equal to $$$5$$$.