Problem Statement

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 $f_N( \dots f_2(f_1(x_i)) \dots )$.

Constraints

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

Input

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

Output

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