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

just_kiddin | 48 |

Paras Chadha | 47 |

chaitanyaanimesh | 46 |

Jihye Sofia Seo | 44 |

Anshu Ahirwar | 44 |

gameghost07 | 488 |

xyz2017 | 460 |

N NAGA SAI KRISHNA | 445 |

Anshu Ahirwar | 419 |

Divyasri | 408 |

akhayrutdinov | 3371 |

sanjay05 | 3239 |

Jasleen Kaur 2 | 2012 |

Elite Coder | 1803 |

Michael Riegger | 1788 |