## Goal

Provided with a set of **bingo cards**, and the order in which the numbers will be called, output how many numbers need to be called before somebody has a **line**, followed by how many numbers need to be called before somebody has "bingo" (all numbers on their sheet filled in).

A **bingo card** is defined as a `5x5` set of numbers between 1 and 90. The center of a bingo card is a "free space", meaning it is already filled in - this is denoted with a `0` in this puzzle.

A **line** on the bingo card is defined as any row, column or diagonal of 5 numbers on the card.
Input

**Line 1**: An integer `n` for the number of bingo cards in play

**Next **`n*5` lines: The numbers `bn` on the bingo cards, separated by spaces.

**Line **`n*5+2`: The order in which the numbers `cn` will be called, separated by a space. You are provided all 90 numbers.

Output

**Line 1**: The amount of numbers that need to be called before a bingo card has a complete line.

**Line 2**: The amount of numbers that need to be called before a bingo card has a full house (all numbers filled).

Constraints

0 < `n` ≤ 10000

0 ≤ `bn` ≤ 90 ("free space" is signified with a 0)

0 < `cn` ≤ 90

Example

Input

1
1 67 89 69 48
72 65 38 85 28
37 29 0 54 22
83 80 10 75 58
25 35 49 87 27
65 4 48 59 26 24 3 60 36 29 54 47 78 32 18 9 83 90 2 50 17 45 11 20 55 33 30 64 35 75 39 81 71 70 5 52 53 46 88 6 41 66 86 67 49 38 62 31 85 27 13 84 58 1 40 80 16 82 22 76 57 37 14 19 79 73 44 68 15 43 87 72 8 42 69 12 34 89 77 21 74 51 63 25 10 61 56 28 7 23