You are given weights and values of **N** items, put these items in a knapsack of capacity **W** to get the maximum total value in the knapsack. Note that we have only one quantity of each item, In other words, given two integer arrays **val[0..N-1]** and **wt[0..N-1]** which represent values and weights associated with **N** items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of **val[]** such that sum of the weights of this subset is smaller than or equal to **W.** You cannot break an item, either pick the complete item, or don’t pick it (0-1 property).

**Input:**

The first line of input contains an integer **T** denoting the number of test cases. Then **T** test cases follow. Each test case consists of four lines. The first line consists of **N** the number of items. The second line consists of **W**, the maximum capacity of the knapsack. In the next line are **N** space separated positive integers denoting the values of the **N** items and in the fourth line are **N** space separated positive integers denoting the weights of the corresponding items.

**Output:**

Print the **maximum possible** value you can get with the given conditions that you can obtain for each test case in a new line.

**Constraints:**

1≤T≤100

1≤N≤100

1≤W≤100

1≤wt[i]≤100

1≤v[i]≤100

**Example:**

**Input:**

1

3

4

1 2 3

4 5 1

**Output:**

3

:p | 459 |

Anshul Wadhawan | 414 |

Shivam_Kumar_Singh | 308 |

Calahan | 294 |

facelessman_x | 287 |

Anshul Wadhawan | 874 |

rambo | 868 |

Calahan | 815 |

Suraj Kumar 14 | 768 |

Shivam_Kumar_Singh | 740 |

akhayrutdinov | 4698 |

Ibrahim Nash | 3664 |

sanjay05 | 3633 |

Quandray | 3515 |

surbhi_7 | 2748 |