# 3010. Coins (III)

In a strange shop there are $n$ types of coins of value $A_1, A_2, \ldots, A_n$. $C_1, C_2, \ldots, C_n$ denote the number of coins of value $A_1, A_2, \ldots, A_n$ respectively. You have to find the number of different values (from $1$ to $m$), which can be produced using these coins.

### 输入格式

Input starts with an integer $T$ ($T \le 10$), denoting the number of test cases.

Each case starts with a line containing two integers $n$ ($1 \le n \le 100$) and $m$ ($1 \le K \le 100~000$). The next line contains $2n$ integers, denoting $A_1, A_2, \ldots, A_n, C_1, C_2, \ldots, C_n$ ($1 \le A_i \le 100~000, 1 \le C_i \le 1~000$). All $A_i$ will be distinct.

### 输出格式

For each case, print the case number and the result.

### 样例

Input
2
3 10
1 2 4 2 1 1
2 5
1 4 2 1

Output
Case 1: 8
Case 2: 4


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