Statistics

Problem Statement for "MoveAllMarbles"

Problem Statement

You have a box with a rectangular bottom. The box is divided into a grid of compartments. The grid has R rows and C columns. Rows are numbered from 0 to R-1, columns from 0 to C-1. The compartment in row r, column c will be denoted (r, c).

Initially, all compartments are empty except for one: the compartment (0, 0) contains N marbles.

You want to move all N marbles to the compartment (R-1, C-1). While doing so, you have to follow a set of rules:

  • The marbles must be moved in a series of steps.
  • In each step you may only move one marble.
  • Whenever you move a marble, its new compartment must share a side with its previous compartment. (I.e., one coordinate must remain the same and the other must change by exactly 1.)
  • Compartments other than (0, 0) and (R-1, C-1) must never contain more than one marble at the same time.
  • You may only put a marble into the destination compartment (R-1, C-1) if the starting compartment (0, 0) is already empty.
  • The total number of steps must be as small as possible.

You are given the dimensions R, C of the grid. Construct any valid sequence of steps that transfers all three marbles to the opposite corner of the given grid. Each step can be represented as an array of length 4: the array { oldr, oldc, newr, newc } corresponds to a step in which we moved one of the marbles from (oldr, oldc) to (newr, newc). Construct these 4-element arrays for your sequence of steps and return their concatenation.

Definition

Class:
MoveAllMarbles
Method:
move
Parameters:
int, int, int
Returns:
int[]
Method signature:
int[] move(int R, int C, int N)
(be sure your method is public)

Notes

  • For the constraints specified below a valid solution always exists.
  • Any valid solution will be accepted.

Constraints

  • R will be between 1 and 10, inclusive.
  • C will be between 1 and 10, inclusive.
  • R*C will be at least 3.
  • N will be between 1 and 50, inclusive.
  • N will not exceed R*C - 2.

Examples

  1. 2

    3

    1

    Returns: {0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2 }

    We have a 2x3 grid and a single marble. The example output describes the following sequence of moves: from (0,0) to (0,1), from (0,1) to (1,1), and from (1,1) to (1,2).

  2. 2

    3

    2

    Returns: {0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2 }

    The same grid but now we have two marbles. Let's call them marble A and marble B. The example output describes the following sequence of moves: Marble A from (0,0) to (0,1). Marble A from (0,1) to (0,2). Marble B from (0,0) to (1,0). Marble A from (0,2) to (1,2). Marble B from (1,0) to (1,1). Marble B from (1,1) to (1,2).

  3. 6

    1

    3

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 3, 0, 3, 0, 4, 0, 1, 0, 2, 0, 0, 0, 1, 0, 4, 0, 5, 0, 2, 0, 3, 0, 3, 0, 4, 0, 1, 0, 2, 0, 2, 0, 3, 0, 4, 0, 5, 0, 3, 0, 4, 0, 4, 0, 5, 0 }

    A grid with dimensions 6x1, three marbles, and one of many optimal solutions for this input.

  4. 1

    6

    4

    Returns: {0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 4, 0, 5, 0, 3, 0, 4, 0, 4, 0, 5, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5 }

  5. 2

    2

    2

    Returns: {0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1 }

  6. 2

    3

    4

    Returns: {0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2 }

  7. 3

    2

    4

    Returns: {0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1 }

  8. 1

    3

    1

    Returns: {0, 0, 0, 1, 0, 1, 0, 2 }

  9. 3

    1

    1

    Returns: {0, 0, 1, 0, 1, 0, 2, 0 }

  10. 7

    7

    47

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 5, 6, 6, 6, 6, 5, 6, 6, 4, 6, 5, 6, 5, 6, 6, 6, 5, 5, 6, 5, 6, 5, 6, 6, 6, 4, 6, 5, 6, 5, 6, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 5, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 5, 2, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 5, 1, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6 }

  11. 10

    8

    50

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 8, 7, 9, 7, 9, 6, 9, 7, 7, 7, 8, 7, 8, 7, 9, 7, 8, 6, 9, 6, 9, 6, 9, 7, 9, 5, 9, 6, 9, 6, 9, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 7, 4, 8, 4, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 8, 3, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 7, 3, 8, 3, 8, 3, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 8, 2, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 6, 3, 7, 3, 7, 3, 8, 3, 8, 3, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 7, 2, 8, 2, 8, 2, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 8, 1, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 3, 8, 3, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 6, 2, 7, 2, 7, 2, 8, 2, 8, 2, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 7, 1, 8, 1, 8, 1, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 3, 8, 3, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 8, 2, 8, 2, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 6, 1, 7, 1, 7, 1, 8, 1, 8, 1, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7 }

  12. 8

    10

    50

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 3, 8, 3, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 8, 2, 8, 2, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 8, 1, 8, 1, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 9, 7, 9, 7, 8, 7, 9, 5, 9, 6, 9, 6, 9, 7, 9, 6, 8, 7, 8, 7, 8, 7, 9, 7, 7, 7, 8, 7, 8, 7, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 7, 9, 6, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 7, 9, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 6, 6, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 7, 9, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 6, 5, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 7, 9, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 6, 4, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 7, 9, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 7, 9, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 6, 1, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9 }

  13. 8

    6

    46

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 6, 5, 7, 5, 7, 4, 7, 5, 5, 5, 6, 5, 6, 5, 7, 5, 6, 4, 7, 4, 7, 4, 7, 5, 7, 3, 7, 4, 7, 4, 7, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 6, 1, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5 }

  14. 5

    9

    43

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 3, 8, 4, 8, 4, 7, 4, 8, 2, 8, 3, 8, 3, 8, 4, 8, 3, 7, 4, 7, 4, 7, 4, 8, 4, 6, 4, 7, 4, 7, 4, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 4, 8, 3, 6, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 4, 8, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 3, 5, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 4, 8, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8 }

  15. 7

    8

    35

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 5, 7, 6, 7, 6, 6, 6, 7, 4, 7, 5, 7, 5, 7, 6, 7, 5, 6, 6, 6, 6, 6, 6, 7, 6, 5, 6, 6, 6, 6, 6, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 7, 5, 5, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 7, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 7, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 5, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 7, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 5, 2, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 7, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 5, 1, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7 }

  16. 9

    9

    3

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 7, 8, 8, 8, 8, 7, 8, 8, 6, 8, 7, 8, 7, 8, 8, 8 }

  17. 1

    10

    7

    Returns: {0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 1, 0, 1, 0, 2, 0, 8, 0, 9, 0, 7, 0, 8, 0, 8, 0, 9, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9 }

  18. 10

    1

    6

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 8, 0, 9, 0, 7, 0, 8, 0, 8, 0, 9, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0 }

  19. 10

    10

    50

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 8, 8, 8, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 3, 8, 3, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 8, 2, 8, 2, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 8, 1, 8, 1, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 8, 9, 9, 9, 9, 8, 9, 9, 7, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 8, 9, 8, 9, 9, 9, 7, 9, 8, 9, 8, 9, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 8, 7, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 6, 8, 7, 8, 7, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 7, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 8, 6, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 7, 4, 8, 4, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 8, 3, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 7, 3, 8, 3, 8, 3, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 8, 2, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9 }

  20. 5

    10

    48

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 3, 8, 3, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 8, 2, 8, 2, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 8, 1, 8, 1, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 3, 9, 4, 9, 4, 8, 4, 9, 2, 9, 3, 9, 3, 9, 4, 9, 3, 8, 4, 8, 4, 8, 4, 9, 4, 7, 4, 8, 4, 8, 4, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 4, 9, 3, 7, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 4, 9, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 3, 6, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 4, 9, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 3, 5, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 4, 9 }

  21. 10

    10

    10

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 8, 8, 8, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 9, 6, 9, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 9, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 1, 9, 1, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 9, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 9, 8, 9, 9, 9, 9, 8, 9, 9, 7, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 8, 9, 8, 9, 9, 9, 7, 9, 8, 9, 8, 9, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 8, 7, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 5, 9, 6, 9, 6, 9, 7, 9, 7, 9, 8, 9, 8, 9, 9, 9 }

  22. 9

    9

    9

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 8, 6, 8, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 8, 5, 8, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 7, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 8, 3, 8, 3, 8, 4, 8, 4, 8, 5, 7, 8, 8, 8, 8, 7, 8, 8, 6, 8, 7, 8, 7, 8, 8, 8, 7, 7, 8, 7, 8, 7, 8, 8, 8, 6, 8, 7, 8, 7, 8, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 8, 6, 7, 7, 7, 7, 7, 8, 7, 8, 7, 8, 8, 7, 6, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8, 8, 5, 8, 6, 8, 6, 8, 7, 8, 7, 8, 8 }

  23. 5

    5

    23

    Returns: {0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 3, 4, 4, 4, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 3, 4, 3, 4, 4, 4, 2, 4, 3, 4, 3, 4, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 4, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4 }

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