# 3466. Baza

Mirko got a summer internship in a big IT company. This company builds a large database consisting of $N$ rows and $M$ columns.

On his first day, Mirko received a total of $Q$ queries. Each query consists of $M$ numbers. However, some numbers got lost during transition, so they are denoted with -1. Mirko wants to know how many rows of the database correspond to the query, i.e., how many rows of the database have identical numbers as the query, excluding -1.

For example, if the query is in the form of $-1 \ 3 \ 2$, then we need to count the rows of the database that have any number in the first column, have the number 3 in the second column, and have the number 2 in the third column.

Since he just started with his internship, Mirko needs your help. Help him and answer the queries!

### 输入

The first line of input contains $N$ ($1 \le N \le 10^3$) and $M$ ($1 \le M \le 10^3$), the size of the database.

Each of the following $N$ lines contains $M$ numbers $A_{ij}$ ($1 \le A_{ij} \le 10^6$), the content of the database.

The following line contains $Q$ ($1 \le Q \le 50$), the number of queries.

Each of the following $Q$ lines contains $M$ numbers $B_{ij}$ ($B_{ij} = -1$ or $1 ≤ B_{ij} ≤ 10^6$), the description of the $i$-th query.

### 输出

The output must contain $Q$ lines, each line containing $X$, the answer to the $i$-th query from the task.

### 样例

Input
4 3
1 5 2
2 3 4
4 3 2
5 4 6
3
-1 -1 2
-1 3 2
-1 -1 -1

Output
2
1
4

Input
3 8
6 5 97 99 82 50 95 1
85 62 11 64 94 84 88 19
43 99 11 64 94 84 31 19
3
-1 -1 11 64 94 84 -1 19
-1 -1 -1 99 -1 -1 -1 1
95 -1 -1 -1 -1 80 -1 -1

Output
2
1
0


### 提示

First Example:

The first query asks how many rows have the number 2 in the third column. These are rows number 1 (1 5 2) and number 3 (4 3 2).
The second query asks how many rows have the numbers 3 and 2 in the second and third column. This is only row number 3 (4 3 2).
The third query asks how many rows are there in total, and the answer is obviously 4.

36 人解决，38 已尝试。

42 份提交通过，共有 85 份提交。

7.8 EMB 奖励。