Given are integer sequences $A = (a_1, a_2, \dots, a_N)$, $T = (t_1, t_2, \dots, t_N)$, and $X = (x_1, x_2, \dots, x_Q)$.  
Let us define $N$ functions $f_1(x), f_2(x), \dots, f_N(x)$ as follows:

$f_i(x) = \begin{cases} x + a_i & (t_i = 1)\\ \max(x, a_i) & (t_i = 2)\\ \min(x, a_i) & (t_i = 3)\\ \end{cases}$

For each $i = 1, 2, \dots, Q$, find $f_N( \dots f_2(f_1(x_i)) \dots )$.

Input is given from Standard Input in the following format:

```
$N$
$a_1$ $t_1$
$a_2$ $t_2$
$\vdots$
$a_N$ $t_N$
$Q$
$x_1$ $x_2$ $\cdots$ $x_Q$
```

Print $Q$ lines. The $i$-th line should contain $f_N( \dots f_2(f_1(x_i)) \dots )$.

-   All values in input are integers.
-   $1 ≤ N ≤ 2 \times 10^5$
-   $1 ≤ Q ≤ 2 \times 10^5$
-   $|a_i| ≤ 10^9$
-   $1 ≤ t_i ≤ 3$
-   $|x_i| ≤ 10^9$

0
0
5
10
10

We have $f_1(x)$=max(x,−10), $f_2(x)$=x+10, $f_3(x)$=min(x,10), thus:

• $f_3(f_2(f_1(−15)))=0$
• $f_3(f_2(f_1(−10)))=0$
• $f_3(f_2(f_1(−5)))=5$
• $f_3(f_2(f_1(0)))=10$
• $f_3(f_2(f_1(5)))=10$