Problem Statement
You are playing a computer game in which you roll some 20-sided dice.
You have just started one round of the game by taking some dice and rolling them.
The numbers you got are given in the
Your ultimate goal is to maximize the sum of the numbers on your dice.
You are now allowed to make between zero and N consecutive rerolls. For each reroll, you choose one of the dice you have and you roll it again to get a new "randomly selected" value.
For each reroll you can select any one of the dice currently in front of you. You may reroll each die multiple times.
However, there's one big catch.
As we said above, these are not real dice, this is just a computer simulation.
You have discovered that the game uses a deterministic pseudorandom generator to simulate the dice rolls, and you can predict the values it's going to generate with 100 percent accuracy.
The
Find one way to maximize the final sum of the dice in front of you.
If your solution has K rerolls, return a
Definition
- Class:
- RerollCheater
- Method:
- reroll
- Parameters:
- int[], int[]
- Returns:
- int[]
- Method signature:
- int[] reroll(int[] currentDice, int[] futureRolls)
- (be sure your method is public)
Notes
- Any valid solution will be accepted.
- It is not required to minimize the number of rerolls.
Constraints
- currentDice will have between 1 and 100 elements, inclusive.
- futureRolls will have between 1 and 1000 elements, inclusive.
- Each number in the input will be between 1 and 20, inclusive.
Examples
{1, 2, 1, 1, 1, 1}
{20, 20, 20}
Returns: {3, 4, 5 }
Your initial roll was really unlucky: you rolled five ones and a two. You can now make up to three rerolls. You know that each of those will give you a 20. The best strategy is to reroll any three distinct dice that show ones. The return value {3, 4, 5} corresponds to the following sequence of rerolls: currentDice[3] := futureRolls[0] currentDice[4] := futureRolls[1] currentDice[5] := futureRolls[2] In the end, we will have dice with the following values: {1, 2, 1, 20, 20, 20}.
{4, 7, 13, 19}
{1, 1, 2, 3, 1, 4, 1, 3}
Returns: { }
The upcoming rolls are all quite low, so we cannot improve the dice we initially rolled. Thus, one of the optimal solutions for this test case is to do nothing.
{18, 11, 15, 12}
{3, 14, 9}
Returns: {1, 1 }
Remember that you may reroll the same die in multiple (not necessarily consecutive) rounds. Here we reroll the 11 to get a 3, and then we reroll the 3 again to get a 14 instead.
{10, 9, 20, 8}
{1, 2, 3, 4, 5, 6, 7, 10, 1, 2, 3, 4, 5, 6, 7, 11, 1, 2, 3, 4, 5, 6, 7}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3 }
{3}
{1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 6, 1, 5, 1, 4, 1, 3}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{11, 7, 11, 15, 12, 14, 14, 19, 10, 7, 16, 19, 20, 9, 20, 17, 19, 11, 9, 13, 17, 7, 18, 12, 15, 11, 16, 19, 10, 20, 18, 18, 9, 18, 14, 20}
{3, 3, 5, 5, 1, 4, 3, 5, 4, 3, 5, 2, 5, 1, 2, 4, 4, 3, 5, 5, 2, 4, 1, 2, 5, 1, 1, 3, 5, 5, 5, 4, 4, 3, 1, 5, 3, 5, 5, 4, 3, 1, 5, 2, 2, 3, 4, 2, 2, 4, 2, 2, 1, 2, 5, 3, 5, 4, 1, 3, 4, 1, 1, 4, 1, 3, 1, 3, 1, 2, 2, 5, 4, 2, 4, 5, 4, 5, 5, 1, 1, 2, 2, 5, 3, 1, 5, 2, 1, 4, 1, 1, 1, 3, 1, 5, 3, 2, 5, 5, 2, 5, 5, 3, 5, 5, 1, 5, 4, 3, 5, 1, 1, 4, 4, 3, 3, 5, 4, 5, 2, 1}
Returns: { }
{14}
{6, 3, 8, 1, 2, 8, 8, 5, 1, 4, 5, 1, 5, 8, 7, 2, 2, 8, 6, 5, 7, 4, 2, 2, 5, 7, 6, 6, 2, 2, 7, 6, 1, 6, 1, 7, 5, 5, 4, 5, 4, 8, 5, 8, 8, 6, 1, 3, 8, 1, 1, 7, 8, 8, 5, 5, 2, 5, 2, 3, 7, 6, 8, 7, 4, 5, 6, 1, 7, 8, 3, 7, 1, 3, 3, 2, 8, 7, 1, 4, 8, 3, 7, 1, 3, 2, 7, 1, 7, 8, 8, 6, 2, 7, 2, 2, 7, 7, 2, 3, 8, 8, 8, 2, 7, 6, 7, 4, 6, 7, 2, 3, 8, 6, 2, 5, 8, 2, 6, 1, 7, 2, 4, 4, 5, 5, 2, 1, 5, 3, 8, 4, 7, 8, 1, 7, 4, 6, 2, 6, 2, 3, 2, 4, 3, 2, 3, 3, 3, 2, 2, 3, 7, 6, 2, 7, 5, 4, 6, 2, 6, 2, 1, 4, 3, 6, 2, 6, 7, 6, 7, 8, 7, 7, 8, 1, 4, 6, 1, 7, 2, 8, 2, 2, 6, 7, 1, 6, 3, 7, 8, 8, 2, 4, 4, 1, 8, 6, 3, 3, 5, 2, 1, 5, 1, 1, 5, 6, 4, 4, 6, 6, 3, 4, 8, 1, 5, 5, 7, 2, 7, 7, 6, 8, 5, 1, 8, 4, 5, 7, 1, 1, 7, 4, 7, 6, 2, 6, 6, 8, 2, 2, 8, 5, 2, 3, 4, 4, 7, 8, 4, 5, 1, 2, 1, 5, 4, 6, 8, 4, 6, 7, 1, 7, 6, 6, 1, 2, 1, 5, 1, 4, 1, 1, 1, 7, 8, 4, 2, 5, 7, 6, 1, 2, 5, 5, 1, 8, 8, 7, 6, 2, 5, 7, 6, 2, 7, 7, 3, 5, 1, 1, 4, 3, 4, 2, 1, 7, 7, 7, 7, 3, 3, 7, 8, 5, 3, 2, 1, 4, 3, 2, 1, 3, 2, 3, 5, 7, 8, 1, 3, 3, 4, 2, 3, 5, 8, 8, 8, 5, 7, 8, 3, 1, 7, 8, 8, 7, 6, 6, 5, 5, 7, 7, 1, 5, 3, 8, 7, 2, 2, 1, 6, 6, 3, 1, 5, 6, 3, 1, 7, 8, 6, 3, 5, 5, 6, 7, 2, 4, 3, 4, 5, 4, 8, 6, 3, 6, 2, 3, 3, 4, 6, 4, 4, 1, 6, 7, 3, 8, 3, 4, 7, 1, 8, 6, 2, 5, 2, 3, 4, 5, 7, 2, 5, 6, 2, 7, 6, 4, 5, 5, 6, 1, 4, 5, 8, 6, 2, 3, 3, 5, 6, 5, 2, 5, 4, 1, 5, 4, 4, 8, 8, 2, 7, 1, 3, 2, 7, 5, 4, 7, 4, 2, 4, 4, 2, 7, 5, 6, 6, 2, 2, 6, 8, 4, 2, 2, 6, 8, 4, 1, 6, 5, 7, 5, 1, 2, 5, 8, 4, 8, 5, 6, 7, 4, 6, 4, 3, 4, 4, 1, 1, 5, 5, 4, 6, 6, 3, 6, 6, 3, 3, 8, 2, 1, 7, 8, 8, 5, 2, 8, 5, 6, 5, 4, 7, 2, 5, 7, 6, 8, 5, 3, 4, 3, 6, 4, 5, 1, 4, 8, 1, 6, 1, 5, 5, 7, 4, 8, 8, 1, 2, 3, 7, 8, 3, 4, 1, 7, 8, 2, 1, 8, 8, 3, 3, 4, 5, 6, 4, 8, 5, 8, 5, 6, 2, 4, 5, 4, 1, 3, 4, 8, 2, 6, 4, 6, 2}
Returns: { }
{5, 18, 18, 8, 10, 19, 15, 1, 10, 7, 1, 14, 6, 9, 16, 7, 15, 1, 12, 8, 20}
{6, 18, 18, 17, 18, 19, 13, 10, 9, 17, 19, 8, 2, 16, 19, 18, 10, 20, 6, 18, 19, 20, 19, 19, 2, 19, 17}
Returns: {0, 0, 3, 4, 6, 7, 8, 8, 8, 8, 9, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 15, 16, 17, 18, 18, 19 }
{9, 17, 5}
{7, 6, 15, 6, 15, 2, 7, 7, 3, 2, 12, 7, 4, 4, 1, 5, 9, 14, 1, 13, 6, 7, 14, 9, 5, 12, 4, 5, 2, 11, 1, 4, 3, 10, 6, 6, 2, 11, 8, 5, 5, 13, 10, 6, 4, 14, 1, 14, 5, 8, 4, 11, 2, 9, 14, 5, 3, 7, 5, 12, 10, 15, 12, 4, 9, 5, 13, 3, 3, 6, 3, 5, 8, 2, 5, 12, 5, 3, 7, 11, 4, 4, 13, 13, 13, 3, 2, 15, 5, 9, 3, 14, 8, 13, 5, 1, 2, 15, 11, 9, 4, 4, 2, 4, 8, 7, 5, 12, 5, 1, 14, 6, 6, 7, 2, 2, 6, 15, 5, 9, 14, 4, 10, 12, 12, 15, 3, 4, 11, 15, 13, 8, 9, 12, 11, 4, 13, 1, 12, 3, 1, 10, 14, 14, 6, 4, 11, 6, 14, 4, 4, 8, 6, 4, 14, 14, 7, 3, 8, 10, 10, 4, 1, 13, 7, 8, 15, 4, 7, 15, 13, 1, 7, 10, 9, 2, 8, 4, 7, 4, 12, 1, 4, 8, 9, 1, 14, 9, 15, 5, 8, 6, 5, 10, 12, 11, 9, 12, 12, 12, 11, 9, 7, 10, 4, 11, 1, 4, 4, 13, 8, 10, 8, 8, 14, 7, 9, 7, 3, 7, 6, 1, 12, 9, 6, 9, 12, 2, 13, 20, 6, 14, 9, 14, 7, 5, 3, 15, 1, 4, 1, 10, 5, 12, 5, 3, 6, 15, 10, 6, 4, 10, 10, 9, 13, 14, 15, 3, 4, 2, 15, 3, 6, 14, 1, 3, 12, 15, 3, 7, 13, 14, 13, 12, 11, 5, 9, 2, 10, 12, 9, 3, 15, 4, 6, 8, 14, 9, 12, 12, 5, 2, 6, 13, 5, 1, 11, 9, 5, 9, 5, 8, 9, 10, 8, 15, 3, 6, 3, 11, 14, 4, 1, 2, 1, 7, 8, 4, 11, 11, 9, 11, 10, 3, 11, 12, 6, 1, 9, 12, 3, 15, 9, 4, 8, 13, 8, 7, 1, 12, 8, 12, 12, 14, 12, 13, 14, 4, 9, 10, 6, 9, 4, 7, 12, 8, 3, 11, 3, 3, 15, 4, 13, 6, 1, 10, 9, 12, 4, 9, 14, 8, 3, 5, 9, 11, 7, 11, 8, 9, 7, 14, 11, 1, 3, 10, 7, 7, 1, 9, 1, 1, 10, 12, 2, 4, 8, 4, 13, 9, 15, 1, 13, 9, 15, 13, 2, 1, 6, 5, 8, 5, 2, 15, 13, 12, 11, 2, 6, 8, 1, 5, 10, 19, 15, 15, 8, 3, 2, 15, 5, 6, 8, 1, 8, 12, 1, 7, 11, 2, 12, 15, 13, 12, 4, 6, 4, 4, 12, 10, 3, 4, 8, 9, 12, 2, 5, 13, 10, 11, 12, 11, 9, 13, 14, 2, 13, 14, 8, 4, 1, 3, 12, 9, 13, 5, 3, 5, 6, 3, 14, 6, 15, 14, 13, 11, 14, 15, 9, 6, 15, 3, 15, 3, 7, 7, 10, 13, 6, 11, 3, 10, 14, 13, 7, 1, 15, 2, 7, 12, 3, 11, 15, 14, 2, 2, 3, 2, 13, 2, 13, 14, 4, 1, 3, 14, 7, 2, 2, 14, 9, 8, 12, 15, 1, 2, 3, 6, 11, 12, 3, 12, 17, 5, 4, 3, 1, 7, 3, 7, 13, 9, 1, 2, 15, 17, 11, 12, 9, 7, 9, 11, 10, 2, 13, 15, 6, 4, 6, 5, 15, 4, 1, 18, 15, 1, 3, 15, 1, 9, 5, 5, 7, 12, 15, 6, 15, 15, 1, 6, 12, 13, 11, 10, 5, 11, 3, 9, 13, 13, 11, 3, 4, 10, 1, 9, 13, 13, 8, 4, 13, 5, 7, 8, 1, 13, 11, 1, 15, 6, 10, 7, 2, 2, 10, 6, 4, 5, 6, 12, 2, 10, 3, 10, 8, 15, 7, 10, 6, 4, 5, 15, 5, 11, 8, 4, 8, 3, 10, 7, 7, 4, 1, 6, 1, 14, 4, 2, 2, 5, 4, 8, 8, 13, 3, 10, 2, 12, 1, 10, 6, 5, 10, 1, 5, 6, 14, 6, 6, 3, 15, 2, 12, 5, 2, 8, 9, 9, 8, 11, 6, 10, 7, 3, 15, 5, 2, 8, 7, 10, 11, 5, 4, 12, 4, 13, 13, 1, 3, 1, 13, 15, 5, 11, 14, 7, 8, 4, 15, 4, 15, 1, 12, 5, 13, 10, 14, 10, 4, 9, 1, 6, 5, 3, 7, 2, 2, 4, 9, 15, 3, 12, 12, 10, 13, 3, 10, 2, 7, 6, 5, 1, 15, 12, 13, 15, 15, 12, 9, 9, 5, 12, 3, 9, 14, 1, 11, 9, 10, 5, 14, 10, 5, 11, 7, 10, 10, 6, 6, 4, 5, 4, 11, 15, 12, 6, 7, 14, 13, 14, 12, 6, 11, 12, 14, 4, 3, 13, 6, 9, 1, 8, 3, 9, 6, 15, 7, 2, 2, 2, 9, 7, 14, 13, 13, 9, 14, 3, 11, 3, 14, 3, 8, 2, 4, 6, 11, 7, 4, 8, 12, 2, 11, 9, 8, 4, 1, 1, 6, 9, 4, 7, 1, 3, 9, 11, 7, 6, 4, 2, 4, 4, 7, 5, 10, 8, 13, 12, 13, 14, 7, 7, 8, 1, 3, 3, 4, 6, 15, 10, 13, 12, 9, 15, 6, 14, 3, 12, 1, 14, 11, 14, 1, 3, 11, 3, 3, 1, 1, 12, 6, 15, 4, 15, 1, 9, 14, 3, 1, 12, 6, 12, 5, 5, 7, 14, 13, 12, 14, 3, 8, 13, 12, 8, 3, 11, 3, 9, 14, 7, 1, 3, 15, 3, 8, 15, 13, 3, 15, 7, 6, 1, 1, 10, 8, 4, 5, 14, 3, 5, 9, 12, 13, 5, 11, 10, 7}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }
{19, 13, 9, 19, 10, 15}
{1, 6, 1}
Returns: { }
{10, 13, 2}
{4, 7, 1, 6, 1, 2, 7, 5, 5, 5, 4, 3, 3, 15, 4, 4, 7, 4, 5, 2, 7, 1, 4, 5, 5, 7, 5, 4, 3, 3, 4, 2, 5, 6, 5, 5, 2, 4, 4, 7, 6, 1, 3, 7, 3}
Returns: {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }
{20, 20, 20, 20, 20, 20, 20, 20, 20}
{9, 19, 9, 13, 19, 1, 4, 17, 17, 12, 20, 9, 12, 9, 5, 16, 18, 5, 18, 5, 10, 10, 2, 14, 12, 18, 13, 19, 15, 18, 1, 9, 10, 16, 9, 18, 13, 6, 7, 13, 14, 15, 2, 10, 16, 4, 17, 10, 12, 17, 18, 8, 3, 19, 3, 2, 5, 9, 11, 14, 3, 7, 19, 10, 7, 11, 4, 18, 7, 16, 6, 3, 16, 2, 7, 3, 12, 2, 15, 3, 18, 3, 16, 7, 6, 3, 6, 3, 7, 7, 6, 19, 7, 13, 18, 16, 13, 2, 18, 6, 7, 18, 2, 11, 3, 9, 17, 15, 15, 14, 8, 16, 7, 9, 17, 6, 13, 10, 19, 6, 19, 6, 10, 1, 2, 18, 18, 7, 7, 19, 20, 14, 18, 8, 18, 1, 17, 5, 8, 15, 14, 3, 17, 17, 2, 6, 13, 10, 11, 10, 13, 16, 3, 10, 10, 10, 16, 19, 4, 11, 17, 11, 11, 15, 7, 2, 1, 1, 16, 17, 15, 18, 10, 14, 11, 5, 3, 4, 12, 7, 9, 16, 10, 12, 11, 7, 7, 7, 6, 6, 7, 16, 12, 10, 6, 13, 11, 19, 13, 4, 4, 14, 1, 1, 7, 13, 6, 16, 4, 2, 8, 1, 7, 3, 14, 14, 7, 20, 19, 5, 16, 18, 15, 3}
Returns: { }
{13, 5, 13, 12, 9, 10}
{5, 6, 9}
Returns: {1, 1, 1 }
{19, 20, 20, 20, 19, 20, 18, 20, 19, 18, 19, 4}
{4, 11, 13, 7, 8, 13, 2, 5, 3, 6, 12, 12, 14, 10, 2, 15, 14, 1, 2, 1, 2, 4, 2, 4, 4, 8, 18, 5, 10, 20, 16, 1, 3, 17, 9, 16, 6, 7, 7, 11, 3, 16, 4, 18, 15, 15, 1, 2, 16, 15, 7, 4, 13, 11, 14, 12, 6, 10, 14, 16, 20}
Returns: {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 }
{12, 18, 16, 12, 16, 11, 17, 14, 19, 15, 19, 14}
{3, 1, 1, 5, 3, 10, 8, 9, 5, 2, 8, 7, 4, 7, 2, 6, 7, 8, 3, 5, 5, 1, 10, 10, 5, 4, 1, 5, 6, 1, 8, 10, 7, 5, 7, 10, 3, 2, 10, 1, 7, 9, 9, 6, 2, 9, 4, 10, 8, 9, 9, 9, 3, 4, 10, 6, 9, 8, 7, 6, 7, 5, 7, 3, 3, 4, 8, 6, 9, 10, 5, 7, 6, 7, 5, 3, 7, 1, 10, 1, 7, 9, 8, 6, 1, 5, 7, 7, 4, 7, 4, 6, 1, 2, 5, 2, 9, 10, 2, 7, 7, 5, 6, 7, 6, 1, 6, 7, 3, 9, 3, 7, 1, 5, 5, 6, 1, 10, 8, 4, 10, 2, 5, 9, 2, 7, 8, 9, 9, 7, 6, 9, 4, 10, 8, 4, 7, 8, 6, 4, 7, 5, 9, 7, 7, 2, 6, 1, 1, 4, 5, 1, 2, 8, 6, 8, 4, 7, 10, 1, 5, 8, 7, 6, 3, 6, 6, 6, 6, 4, 6, 5, 7, 1, 4, 5, 9, 1, 10, 3, 7, 2, 5, 8, 2, 1, 1, 3, 5, 10, 3, 8, 9, 7, 9, 2, 4, 8, 6, 7, 9, 10, 4, 4, 5, 5, 2, 3, 8, 2, 4, 9, 7}
Returns: { }
{17, 4, 20, 7, 19, 14, 18, 2, 18, 18, 11, 8}
{8, 1, 16, 14, 17, 16, 19, 1, 2, 9, 19, 17, 19, 5, 8, 15, 18}
Returns: {1, 1, 1, 1, 1, 3, 3, 5, 5, 5, 5, 7, 10, 11, 11, 11, 11 }
{20, 19, 19, 19, 19, 19, 20, 20, 19, 20, 20, 19, 20, 20, 20, 19, 19}
{4}
Returns: { }
{10, 14, 5, 10, 11, 14, 9, 3, 15, 12, 6, 12, 17, 12, 7, 2, 1, 1, 8, 10, 9, 4, 1, 7}
{15, 8, 8, 13, 14, 12, 19, 9, 15, 9, 10, 9, 6, 10, 8, 2, 9, 5, 11, 2, 15, 3, 1, 3, 10, 8, 7, 18, 4, 3, 11, 18, 9, 6, 9, 14, 3, 13, 14, 10, 17, 3, 1, 7, 6, 16, 12, 12, 11, 14, 1, 19, 2, 11, 2, 2, 4, 14, 19, 16, 14, 13, 13, 19, 10, 5, 10, 8, 8, 13, 12, 15, 15, 15, 15, 11, 7, 11, 1, 11, 17, 9, 3, 4, 13, 16, 16, 19, 13, 15, 12, 3, 12, 13, 9, 4, 15, 5, 16, 5, 12, 2, 10, 16, 16, 6, 5, 20, 2, 8, 13, 10, 9, 2, 15, 2, 9, 4, 6, 1, 11, 20, 20, 7, 15, 2, 14, 14, 1, 9, 8, 11, 11, 6, 16, 20, 10, 11, 12, 2, 16, 16, 10, 3, 15, 6, 7, 9, 2, 12, 12, 10, 6, 4, 7, 11, 5, 13, 18, 13, 14, 16, 8, 10, 17, 6, 11, 4, 15, 9, 5, 19, 9, 4, 14, 11, 18, 3, 8, 5, 6, 8, 2, 1, 11, 2, 5, 3, 9, 1, 2, 12, 1, 9, 10, 1, 6, 15, 7, 8, 11, 13, 10, 4, 4, 3, 15, 1, 6, 10, 6, 3, 11, 3, 16, 15, 8, 16, 9, 11, 10, 2, 1, 13, 11, 7, 6, 6, 17, 14, 16, 6, 17, 3, 4, 15, 12, 17, 9, 6, 16, 1, 15, 3, 8, 19, 4, 12, 11, 10, 15, 4, 16, 8, 2, 1, 16, 14, 3, 1, 6, 14, 10, 2, 9, 9, 2, 9, 4, 4, 9, 15, 6, 6, 6, 15, 17, 2, 12, 13, 2, 4, 13, 10, 16, 11, 3, 9, 12, 6, 3, 19}
Returns: {0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23 }
{6, 1, 3, 1, 3, 4, 6, 6, 1, 4, 1, 5, 4, 1, 1, 6, 6, 2, 2, 1, 2}
{5, 13, 1, 3, 1, 2, 2, 6, 4, 2, 4, 2, 3, 1, 1, 2, 6, 5, 2, 2, 5, 2, 2, 5, 4, 2, 6, 4, 2, 5, 2, 5, 2, 5, 10, 3, 2, 2, 2, 5, 3, 4, 6, 6, 1, 1, 3, 3, 1, 1, 4, 3, 2, 4, 5, 2, 2, 6, 5, 5, 6, 6, 5, 2, 5, 3, 5, 6, 5, 1, 5, 3, 2, 3, 3, 5, 1, 6, 1, 3, 4, 6, 1, 2, 4, 6, 2, 1, 4, 3, 1, 6, 5, 5, 5, 3, 2, 6, 3, 6, 1, 5, 6, 2, 3, 5, 5, 4, 5, 2, 1, 2, 1, 4, 2, 4, 6, 6, 6, 1, 5, 1, 5, 5, 1, 1, 4, 3, 1, 4, 5, 5, 2, 6, 1, 6, 4, 1, 4, 2, 6, 5, 6, 3, 4, 2, 4, 4, 5, 2, 2, 4, 5, 2, 4, 6, 6, 4, 2, 4, 5, 6, 2, 6, 6, 1, 4, 2, 3, 6, 6, 5, 3, 2, 4, 1, 3, 1, 6, 2, 5, 3, 5, 3, 2, 6, 3, 2, 2, 1, 6, 5, 2, 5, 2, 3, 3, 2, 1, 5, 3, 4, 3, 1, 3, 4, 5, 6, 5, 2, 6, 3, 1, 5, 4, 5, 6, 16, 2, 1, 4, 1, 2, 5, 5, 3, 5, 6, 6, 1, 3, 6, 4, 4, 1, 4, 3, 5, 1, 3, 2, 6, 4, 1, 5, 5, 6, 6, 1, 4, 6, 2, 4, 6, 5, 5, 6, 3, 6, 4, 1, 4, 4, 2, 2, 4, 3, 2, 1, 5, 1, 1, 4, 5, 2, 3, 4, 3, 3, 3, 3, 5, 3, 4, 8, 4, 2, 4, 3, 2, 3, 4, 2, 1, 4, 1, 4, 4, 2, 5, 1, 5, 6, 19, 3, 1, 2, 1, 4, 2, 2, 2, 5, 5, 2, 6, 1, 1, 2, 1, 1, 3, 6, 3, 3, 4, 5, 6, 2, 5, 4, 4, 3, 6, 4, 1, 3, 3, 5, 4, 6, 1, 3, 4, 3, 6, 6, 6, 5, 3, 4, 6, 5, 6, 4, 6, 5, 3, 5, 1, 4, 3, 13, 6, 5, 6, 1, 4, 5, 5, 4, 1, 3, 6, 6, 6, 3, 5, 2, 6, 2, 3, 4, 6, 1, 1, 2, 3, 6, 3, 3, 6, 2, 10, 5, 1, 1, 1, 5, 1, 6, 4, 5, 1, 1, 1, 6, 1, 4, 2, 2, 3, 2, 4, 18, 3, 2, 2, 5, 6, 18, 2, 4, 2, 5, 6, 6, 6, 1, 6, 3, 4, 4, 2, 10, 9, 5, 4, 1, 3, 5, 4, 5, 1, 1, 5, 8, 2, 5, 6, 4, 5, 5, 5, 1, 2, 3, 5, 1, 5, 5, 18, 3, 4, 2, 2, 3, 1, 3, 4, 5, 1, 1, 6, 6, 5, 4, 1, 2, 5, 5, 4, 2, 3, 6, 4, 4, 1, 1, 5, 6, 3, 4, 1, 3, 2, 6, 2, 1, 3, 16, 4, 4, 4, 3, 6, 2, 4, 3, 2, 8, 3, 3, 6, 1, 5, 3, 4, 5, 6, 3, 19, 2, 1, 5, 4, 5, 4, 5, 3, 3, 3, 6, 5, 5, 2, 5, 3, 2, 4, 3, 4, 4, 5, 2, 2, 1, 2, 11, 3, 2, 6, 2, 3, 3, 6, 5, 5, 3, 4, 2, 1, 1, 3, 6, 5, 3, 5, 1, 5, 2, 3, 1, 5, 1, 3, 4, 4, 2, 2, 6, 2, 2, 1, 1, 2, 5, 5, 6, 3, 2, 2, 3, 1, 2, 5, 6, 4, 6, 3, 3, 5, 4, 4, 5, 4, 4, 4, 5, 3, 5, 2, 6, 2, 2, 6, 4, 5, 5, 2, 2, 5, 3, 1, 5, 2, 1, 5, 6, 1, 1, 4, 4, 3, 4, 2, 4, 1, 4, 3, 4, 5, 5, 1, 5, 5, 5, 4, 4, 4, 7, 2, 3, 1, 4, 6, 1, 6, 4, 2, 1, 1, 2, 5, 3, 5, 6, 4, 5, 5, 2, 1, 2, 4, 6, 3, 6, 2, 4, 1, 5, 1, 2, 5, 3, 2, 1, 3, 9, 3, 6, 4, 6, 1, 5, 2, 5, 2, 5, 6, 4, 2, 2, 3, 4, 1, 5, 2, 5, 4, 2, 3, 4, 2, 2, 2, 4, 4, 5, 2, 2, 6, 4, 2, 2, 3, 2, 6, 3, 6, 6, 2, 3, 4, 2, 6, 2, 4, 4, 2, 1, 2, 4, 4, 4, 4, 2, 4, 2, 5, 4, 6, 6, 4, 6, 3, 4, 2, 2, 5, 2, 2, 2, 1, 4, 1, 2, 14, 5, 5, 3, 5, 1, 4, 2, 1, 6, 6, 4, 6, 6, 2, 5, 5, 5, 3, 4, 3, 4, 5, 5, 4, 2, 6, 4, 1, 5, 2, 6, 2, 4, 3, 1, 6, 3, 3, 5, 5, 19, 3, 4, 6, 3, 10, 1, 2, 1, 1, 4, 1, 6, 3, 2, 4, 5, 2, 5, 6, 5, 3, 5, 3, 3, 2, 3, 6, 5, 3, 19, 1, 4, 3, 3, 3, 6, 6, 6, 3, 3, 2, 3, 5, 2, 5, 5, 5, 4, 3, 3, 1, 3, 6, 2, 1, 7, 2, 3, 3, 1, 1, 4, 5, 5, 6, 1, 3, 6, 1, 2, 4, 5, 1, 4, 2, 4, 5, 6, 3, 4, 1, 5, 1, 5, 2, 2, 6, 6, 6, 6, 6, 6, 5, 3, 2, 1, 6, 6, 5, 3, 2, 5, 3, 6, 5, 6, 5, 5, 6, 2, 4, 2, 2, 2, 4, 2, 3, 1, 4, 2, 6, 4, 6, 6, 6, 5, 4, 5, 3, 5, 1, 3, 3, 4, 2, 3, 2, 5, 4, 6, 2, 3, 5, 4, 6, 4, 2, 5, 5, 2, 2, 4, 4, 3, 2, 2, 5}
Returns: {0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 }
{4, 2, 20, 5, 2, 16, 1, 1, 4}
{7, 1, 11, 7, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 14, 2}
Returns: {1, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 }
{3, 2, 3, 6, 11, 2, 1, 1, 11, 4, 4, 1, 1, 18, 11, 7, 1, 15, 5, 11, 1, 19, 1, 8, 15, 3}
{3, 3, 17, 6, 6, 5, 6, 2, 6, 11, 1, 6, 2, 4, 1, 5, 3, 3, 1, 2, 5, 3, 2, 2, 6, 13, 2, 4, 3, 1, 3, 16, 6, 1, 6, 5, 6, 2, 6, 3, 6, 1, 5, 6, 2, 4, 3, 3, 3, 2, 1, 9, 5, 2, 5, 6, 6, 6, 2, 1, 6, 4, 5, 6, 6, 2, 4, 6, 5, 5, 5, 3, 3, 4, 5, 1, 3, 5, 6, 15, 3, 3, 1, 2, 4, 5, 1, 5, 6, 6, 5, 2, 2, 3, 5, 11, 2, 3, 5, 5, 6, 3, 5, 3, 5, 3, 4, 6, 3, 6, 4, 5, 3, 4, 2, 1, 3, 6, 6, 4, 19, 5, 17, 3, 6, 2, 6, 3, 12, 1, 4, 15, 6, 3, 4, 3, 1, 3, 6, 5, 2, 3, 6, 1, 1, 1, 6, 2, 2, 13, 2, 8, 5, 5, 2, 5, 2, 15, 1, 1, 4, 5, 2, 1, 6, 2, 5, 2, 3, 8, 2, 14, 5, 4, 6, 2, 5, 5, 4, 1, 6}
Returns: {0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 18, 18, 20, 20, 20, 20, 20, 20, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 25, 25 }
{14, 4, 1}
{5, 6, 2, 6, 5, 4, 1, 3, 7, 4, 6, 1, 5, 4, 4, 1, 6, 4, 7, 2, 7, 4, 2, 5, 4, 3, 6, 3, 7, 5, 1, 3, 6, 5, 2, 5, 3, 7, 7, 2, 1, 6, 6, 17, 17, 2, 5, 6, 5, 1, 5, 2, 6, 3, 6, 5, 7, 5, 6, 5, 2, 6, 3, 5, 5, 5, 5, 5, 8, 4, 4, 7, 5, 3, 3, 3, 1, 2, 3, 4, 5, 7, 6, 7, 5, 2, 6, 5, 4, 1, 8, 5, 1, 2, 4, 3, 2, 3, 1, 5, 3, 5, 5, 3, 7, 4, 7, 2, 3, 2, 6, 6, 1, 2, 3, 6, 7, 1, 1, 3, 2, 1, 2, 4, 6, 6, 6, 5, 5, 3, 2, 1, 7, 5, 7, 3, 4, 5, 2, 1, 6, 7, 5, 4, 6, 2, 3, 4, 5, 7, 2, 2, 5, 2, 7, 1, 2, 1, 3, 1, 6, 4, 6, 3, 2, 6, 5, 1, 7, 1, 7, 2, 5, 5, 3, 6, 4, 3, 4, 6, 7, 3, 1, 1, 2, 4, 2, 3, 1, 4, 2, 1, 4, 6, 4, 5, 3, 1, 3, 4, 6, 4, 3, 1, 7, 5, 1}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 }
{18, 11, 10, 12, 19, 14, 18, 19, 19, 14}
{15, 19}
Returns: {1, 2 }
{18, 19, 15, 17, 20, 8, 20, 20, 16, 17, 20, 19, 15, 18, 20, 15, 18, 15, 15, 20, 9, 20, 6, 13, 19, 16, 19, 13, 14, 18, 16, 18, 9, 16, 14, 17, 6, 4, 17, 2, 14, 19, 16, 18, 9, 13, 19, 19, 16, 19, 13, 19, 13, 7, 16, 14, 15, 18, 18, 15}
{19, 18, 5, 18, 14, 19, 13, 11, 18, 17, 2, 17, 13, 14, 3}
Returns: {5, 20, 22, 22, 32, 36, 37, 37, 37, 39, 44, 44, 53, 53 }
{5}
{19}
Returns: {0 }
{15}
{13, 11, 8, 1, 7, 13, 11, 17, 4, 4, 2, 12, 20}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{8, 13, 11, 15, 6, 9, 17, 1, 4, 16, 3, 2, 4, 15, 12, 10, 6, 1, 15, 7, 9, 20, 2, 20, 2, 3, 19, 6, 3, 5, 3}
{20, 10, 2, 14, 10, 9, 20, 7, 20, 13, 17, 17, 5, 20, 6, 3, 20, 14, 20, 20, 2, 8, 15, 20, 20, 2, 20, 8, 2, 20, 20, 20, 2, 20, 20, 20, 20, 9, 20, 20, 13, 20, 8, 6, 20, 5, 13, 12, 13, 13, 10, 20, 20, 17, 20, 20, 11, 20, 13, 20, 6, 3, 19, 20, 13, 15, 9, 9, 20, 2, 14}
Returns: {0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 9, 9, 10, 10, 10, 11, 12, 13, 13, 14, 15, 16, 17, 17, 18, 19, 19, 20, 20, 20, 22, 22, 22, 22, 22, 22, 22, 24, 25, 25, 26, 27, 27, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 30 }
{11}
{17, 15, 1, 6, 19}
Returns: {0, 0, 0, 0, 0 }
{4}
{8, 6, 4, 12, 9, 9, 5, 1}
Returns: {0, 0, 0, 0 }
{15, 1, 1, 14}
{1, 1, 1, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 18, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }
{4}
{1, 2, 2, 3, 3, 2, 3, 3, 3, 1, 3, 2, 3, 3, 1, 3, 3, 2, 2, 3, 18, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 2, 1, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 1, 13, 2, 2, 1, 1, 1, 3, 2, 1, 1, 2, 2, 3, 2, 2, 3, 1, 1, 1, 3, 3, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 3, 1, 2, 2, 1, 3, 1, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 2, 1, 2, 3, 1, 3, 3, 3, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 1, 2, 1, 1, 2, 3, 3, 2, 1, 3, 1, 3, 17, 1, 2, 2, 2, 2, 3, 3, 1, 1, 3, 1}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{16, 19, 17, 19, 16, 10, 16, 20, 20, 16, 3, 20, 20, 18, 17, 18, 18, 17, 6, 17, 19, 14, 6, 19, 13, 20, 16, 9, 16, 20, 19, 16, 18, 16, 4, 20, 17, 20, 20, 9, 8, 19, 18, 1, 18, 6, 8, 20, 19, 20, 18, 4, 7, 1, 13, 18, 17, 18, 19, 16, 20}
{11, 19, 16, 17, 13, 12, 20, 7, 15, 18, 11, 10, 12, 20, 13, 19, 20, 20, 1, 20, 3, 18, 8, 2, 18, 20, 20, 3, 14, 17, 16, 20, 16}
Returns: {5, 5, 10, 18, 21, 21, 21, 22, 22, 22, 24, 24, 24, 24, 27, 27, 34, 39, 40, 40, 43, 43, 45, 45, 45, 46, 51, 52, 52, 52, 53, 54 }
{16, 8, 14, 17, 19, 9, 7, 17, 14, 11, 9, 6, 15, 4, 1, 7, 2, 12, 11, 7, 13, 7, 19, 6, 19, 12, 16, 11, 3, 5, 15, 11, 7, 8, 8, 1, 2}
{6, 4, 4, 6, 5, 1, 5, 4, 4, 6, 3, 5, 4, 4, 3, 2, 1, 2, 1, 6, 2, 6, 2, 5, 4, 5, 1, 5, 1, 6, 4, 2, 6, 1, 5, 5, 5, 4, 4, 1, 4, 3, 2, 2, 19, 1, 6, 6, 3, 2, 6, 1, 5, 2, 9, 3, 4, 5, 5, 2, 3, 3, 6, 1, 4, 5, 1, 6, 6, 5, 5, 6, 5, 2, 18, 1, 16, 1, 4, 1, 1, 4, 3, 3, 6, 5, 2, 1, 6, 6, 3, 2, 4, 2, 3, 1, 4, 6, 2, 19, 2, 4, 8, 4, 2, 6, 2, 5, 6, 5, 6, 3, 2, 5, 4, 1, 5, 5, 2, 4, 4, 2, 5, 5, 2, 2, 6, 6, 3, 4, 3, 1, 5, 2, 3, 2, 4, 2, 3, 5, 2, 3, 5, 6, 4, 5, 1, 3, 3, 4, 3, 2, 1, 1, 5, 5, 5, 2, 17, 3, 5, 1, 2, 3, 6, 6, 5, 5, 3, 2, 3, 5, 4, 5, 4, 5, 1, 5, 3, 6, 5, 4, 1, 4, 6, 2, 1, 4, 2, 5, 1, 6, 5, 2, 5, 5, 1, 6, 5, 13, 3, 2, 2, 5, 1, 1, 1, 2, 3, 3, 2, 6, 2, 4, 5, 6, 4, 10, 2, 5, 4, 1, 4, 2, 5, 4, 6, 1, 1, 4, 3, 1, 6}
Returns: {11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 16, 16, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36 }
{14, 20, 15, 14, 19, 13, 10, 16, 13, 16, 19, 17, 14, 14, 13, 14, 19}
{13}
Returns: {6 }
{7, 5, 4, 7, 8, 5, 5, 8, 5, 2, 5, 4, 1, 8}
{19, 1, 5, 1, 4, 20, 7, 8, 3, 3, 3, 8, 5, 12, 6, 5, 6, 7, 2, 4, 19, 2, 8, 8, 4, 4, 1, 6, 4, 5, 1, 7, 1, 8, 2, 5, 3, 5, 4, 8, 7, 8, 1, 7, 7, 7, 4, 7, 3, 7, 7, 1, 18, 2, 15, 6, 3, 4, 2, 1, 8, 1, 3, 5, 16, 1, 16, 6, 8, 1, 2, 1, 8, 5, 1, 12, 2, 7, 12, 1, 18, 19, 15, 7, 7, 6, 1, 13, 8, 19, 6, 2, 2, 5, 2, 2, 7, 4, 4, 2, 7, 6, 5, 7, 11, 8, 2, 20, 3, 5, 7}
Returns: {0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13 }
{12, 18, 15, 17, 16, 6, 19, 10, 16, 13, 16, 8, 14, 12, 13, 17, 14, 20, 17, 15, 11, 14, 17, 14, 19, 7, 15, 16, 8, 8, 12, 17, 8, 8, 12, 14, 7, 10, 17, 19, 8, 20, 12, 6, 8, 6, 16, 18, 15, 7, 20, 5, 16, 6, 11, 19, 8, 7, 18, 14, 20, 7, 19, 15, 18, 19, 19, 17, 14, 8, 17, 14, 18, 15, 8, 17, 18, 10, 19, 16, 14, 10, 15, 13, 11, 7, 10, 19, 10, 10, 19, 17, 15}
{17}
Returns: {51 }
{1, 5, 19, 20}
{2, 1, 1, 3, 3, 4, 3, 4, 5, 3, 8, 4, 3, 2, 1, 4, 1, 3, 3, 1, 3, 1, 1, 4, 3, 4, 5, 4, 3, 4, 4, 2, 2, 4, 5, 5, 3, 3, 1, 4, 4, 4, 4, 2, 4, 3, 2, 19, 5, 5, 1, 5, 5, 3, 1, 5, 5, 4, 5, 5, 3, 2, 2, 1}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{5, 20}
{15, 2, 20, 4}
Returns: {0, 0, 0 }
{4}
{13}
Returns: {0 }
{19, 20, 19, 18, 5, 19}
{16, 18, 16, 5, 9, 15, 14, 6, 5, 17, 8, 8, 14, 8, 17, 18, 13, 16, 12, 9, 19, 11, 14, 1, 1, 17, 4, 7, 12, 9, 5, 1, 6, 18, 16, 15, 1, 18, 8, 2, 13, 13, 9, 1, 17, 13, 2, 1, 14, 15, 12, 13, 13, 11, 1, 14, 4, 18, 14, 18, 1, 6, 2, 2, 12, 4, 7, 14, 9, 8, 1, 5, 11, 6, 3, 16, 4, 16, 7, 3, 14, 8, 17, 13, 12, 15, 12, 15, 14, 13, 13, 12, 11, 1, 7, 17, 17, 17, 18, 1, 4, 10, 15, 9, 6, 12, 9, 9, 12, 12, 8, 11, 8, 17, 14, 7, 14, 3, 5, 12, 15, 3, 10, 2, 4, 12, 17, 6, 14, 1, 15, 1, 15, 3, 1, 8, 4, 18, 1, 13, 15, 18, 11, 11, 6, 11, 1, 12, 4, 3, 17, 17, 12, 7, 3, 7, 16, 6, 15, 18, 13, 3, 3, 12, 16, 16, 16, 2, 18, 14, 18, 5, 13, 15, 6, 14, 8, 1, 7, 8, 13, 1, 14, 15, 4, 8, 14, 11, 3, 12, 13, 2, 15, 15, 9, 2, 16, 4, 17, 9, 8, 10, 3, 12, 8, 13, 17, 12, 1, 11, 2, 2, 16, 18, 14, 14, 18, 1, 8, 6, 4, 3, 13, 4, 2, 15, 9, 3, 15, 6, 8, 10, 5, 6, 2, 2, 7, 18, 15, 7, 13, 17, 1, 18, 6, 14, 1, 9, 13, 7, 1, 2, 1, 18, 3, 10, 9, 2, 8, 12, 9, 17, 12, 12, 18, 8, 3, 5, 14, 11, 6, 14, 17, 5, 6, 13, 9, 17, 15, 12, 4, 18, 12, 17, 2, 5, 11, 17, 16, 13, 5, 16, 3, 7, 3, 16, 14, 17, 10, 17, 16, 5, 9, 16, 18, 3, 17, 15, 12, 1, 13, 3, 18, 5, 11, 14, 7, 1, 11, 8, 8, 18, 4, 5, 5, 3, 18, 11, 18, 16, 17, 1, 16, 14, 3, 6, 9, 5, 5, 1, 14, 9, 2, 5, 4, 6, 17, 11, 11, 1, 15, 9, 1, 16, 11, 3, 11, 13, 20, 2, 7, 12, 13, 5, 2, 11, 9, 18, 7, 16, 7, 16, 18, 9, 9, 1, 2, 11, 10, 17, 10, 14, 14, 16, 1, 15, 15, 17, 2, 13, 3, 5, 6, 5, 12, 13, 15, 6, 16, 13, 3, 4, 1, 14, 1, 4, 16, 17, 8, 13, 7, 1, 7, 8, 8, 13, 8, 12, 4, 1, 8, 2, 2, 9, 4, 7, 8, 3, 14, 10, 10, 18, 18, 18, 15, 11, 14, 15, 14, 11, 8, 18, 4, 11, 12, 9, 5, 15, 17, 11, 14, 11, 10, 5, 5, 1, 5, 5, 17, 15, 15, 4, 3, 6, 8, 6, 5, 10, 10, 9, 10, 17, 2, 3, 8, 5, 17, 10, 18, 9, 3, 14, 11, 9, 8, 2, 13, 9, 7, 2, 1, 17, 1, 3, 11, 2, 12, 1, 12, 9, 13, 16, 2, 8, 17, 15, 15, 5, 4, 10, 14, 12, 7, 6, 4, 4, 4, 13, 3, 8, 12, 13, 7, 4, 14, 16, 13, 8, 1, 11, 11, 12, 6, 10, 14, 6, 4, 1, 3, 14, 18, 13, 7, 7, 2, 3, 3, 16, 5, 12, 16, 10, 13, 8, 14, 7, 10, 13, 17, 11, 12, 14, 3, 8, 12, 10, 10, 3, 5, 5, 8, 11, 9, 16, 17, 4, 1, 10, 10, 15, 14, 14, 12, 5, 8, 6, 18, 15, 11, 5, 14, 9, 18, 9, 10, 5, 1, 11, 4, 12, 1, 10, 13, 3, 1, 3, 6, 1, 1, 6, 4, 15, 7, 5, 13, 18, 15, 3, 4, 3, 8, 13, 18, 13, 1, 7, 5, 14, 14, 7, 10, 2, 14, 16, 18, 7, 16, 17, 3, 9, 15, 17, 8, 8, 13, 16, 16, 5, 13, 8, 9, 14, 17, 1, 13, 3, 18, 10, 5, 6, 17, 15, 11, 18, 18, 13}
Returns: {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 }
{15, 1, 14, 1, 4, 1, 1, 13, 5, 1, 1, 18, 1, 1, 1, 1, 1, 1}
{1, 1, 12, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 20, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 10, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 16, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 18, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}
Returns: {1, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17 }
{13, 13, 5, 1, 1}
{10, 1, 2, 1, 2, 1, 7, 2, 2, 2, 2, 2, 1, 1, 1}
Returns: {3, 4, 4, 4, 4, 4, 4 }
{6}
{16}
Returns: {0 }
{16, 18, 16}
{12, 8, 7, 3, 1, 12, 13, 9, 10, 13, 7, 14, 12, 6, 11, 3, 7, 10, 1, 7, 7, 9, 14, 11, 4, 11, 13, 4, 9, 10, 12, 1, 11, 4, 4, 10, 1, 12, 1, 7, 3, 6, 11, 5, 4, 2, 8, 8, 8, 6, 7, 8, 7, 2, 10, 6, 10, 8, 1, 5, 8, 14, 3, 11, 12, 12, 8, 13, 4, 11, 12, 7, 3, 3, 3, 3, 14, 2, 5, 14, 2, 11, 9, 10, 6, 6, 8, 3, 1, 4, 14, 13, 4, 9, 8, 11, 10, 14, 14, 4, 10, 9, 4, 8, 12, 11, 7, 6, 1, 8, 13, 11, 13, 14, 8, 10, 7, 14, 13, 12, 5, 12, 13, 12, 8, 4, 12, 3, 12, 5, 7, 10, 12, 1, 1, 12, 9, 5, 13, 9, 5, 6, 11, 13, 13, 7, 12, 11, 7, 14, 2, 5, 11, 7, 13, 3, 8, 6, 3, 10, 11, 3, 12, 13, 1, 9, 11, 3, 14, 14, 8, 8, 1, 12, 10, 4, 8, 5, 10, 4, 12, 14, 11, 2, 5, 13, 8, 3, 12, 2, 14, 7, 12, 7, 11, 11, 14, 5, 14, 8, 1, 10, 7, 11, 14, 2, 2, 10, 14, 11, 9, 7, 6, 2, 12, 10, 12, 2, 13, 1, 9, 2, 13, 5, 9, 4, 2, 8, 13, 5, 1, 4, 12, 4, 10, 12, 6, 8, 13, 7, 6, 1, 11, 9, 5, 4, 12, 10, 1, 9, 4, 12, 14, 4, 5, 9, 10, 10, 14, 1, 8, 14, 3, 9, 13, 1, 8, 9, 11, 3, 3, 7, 8, 7, 11, 12, 2, 6, 5, 12, 2, 8, 10, 14, 6, 2, 2, 2, 11, 2, 11, 2, 9, 13, 1, 11, 7, 14, 1, 8, 13, 2, 7, 9, 13, 12, 13, 13, 3, 2, 12, 1, 7, 9, 4, 4, 11, 13, 7, 8, 14, 4, 13, 1, 14, 14, 11, 7, 5, 2, 5, 8, 8, 9, 1, 4, 4, 14, 7, 1, 10, 10, 12, 11, 13, 2, 3, 2, 5, 6, 2, 3, 7, 11, 4, 9, 14, 5, 5, 12, 7, 8, 7, 2, 3, 9, 9}
Returns: { }
{3, 20, 17, 10}
{1, 9, 1, 17, 4, 18, 12, 15, 16, 9, 9, 10, 14, 10, 12, 1, 15, 6, 8, 11, 3, 5, 11, 14, 1, 10, 17, 7, 13, 10, 5, 1, 7, 14, 8, 8, 1, 11, 6, 15, 15, 15, 10, 17, 16, 16, 20, 8, 9, 7, 17, 1, 16, 8, 4, 9, 4, 12, 12, 6, 6, 6, 20, 13, 17, 7, 12, 17, 5, 2, 13, 14, 7, 9, 6, 9, 9, 10, 2, 5, 14, 14, 4, 15, 10, 1}
Returns: {0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 }
{17, 19, 19, 4, 20, 13, 3, 10, 13, 13, 10, 20, 2, 19, 18, 19, 19, 20, 4, 20, 17, 14, 15, 6, 19, 20, 6, 19, 19, 11, 18, 18, 17, 1, 3, 11, 15, 14, 13, 10, 11, 19, 4, 20, 8, 19, 8, 11, 11, 15, 20, 20, 16, 17, 18, 3, 18, 17, 7, 19, 18, 17, 18, 17, 19, 19, 18, 17, 14, 7, 19, 20, 3, 1, 1, 14, 17, 18, 20, 1, 17, 20, 20, 11, 18, 17, 17, 20}
{14, 18, 17, 19, 18, 17, 16, 20, 17, 17, 6, 18, 20, 17, 18, 18, 20, 19, 20, 16, 20, 17, 17, 14, 19, 13, 16, 11, 17, 14, 20, 17, 17, 10, 18, 19, 14, 10, 19, 17, 20, 19, 16, 19, 17, 1, 18, 19, 20, 19, 16, 5, 1, 8, 17, 9, 18, 3, 17}
Returns: {3, 3, 5, 6, 7, 8, 9, 9, 10, 12, 18, 18, 21, 22, 23, 26, 29, 33, 34, 35, 35, 36, 37, 38, 38, 39, 39, 39, 39, 40, 40, 42, 44, 46, 46, 47, 48, 48, 48, 49, 52, 55, 58, 58, 68, 69, 69, 72, 73, 74, 75, 75, 75, 75, 75, 79, 79, 83, 83 }
{18, 13, 20}
{3, 7, 2, 9, 12, 5, 9, 12, 9, 3, 9, 10, 5, 3, 4, 6, 6, 12, 7, 4, 7, 12, 5}
Returns: { }
{19}
{8, 4, 15, 4, 5, 9, 18, 1, 10, 18, 7, 3, 15, 5, 17, 17, 11, 11, 8, 3, 12, 12, 5, 5, 9, 5, 5, 12, 11, 6, 15, 1, 4, 3, 10, 17, 11, 15, 5, 14, 16, 13, 10, 5, 5, 17, 9, 12, 6, 9, 17, 5, 8, 6, 14, 17, 18, 11, 12, 4, 5, 17, 14, 8, 3, 16, 3, 14, 17, 4, 10, 7, 3, 11, 2, 5, 17, 5}
Returns: { }
{14, 15, 18, 20, 18, 17, 19, 17, 17, 15, 20, 20, 15}
{19, 18, 10}
Returns: {0, 12 }
{9, 20, 9, 2, 13, 9, 18, 15, 8, 9, 9, 17, 14, 20, 17, 12, 10, 13, 15, 20, 10, 17, 12, 18, 20, 11, 18, 10, 8, 14, 12, 11, 20, 11, 19, 14, 13, 11, 10, 16, 16}
{20}
Returns: {3 }
{5, 9, 5}
{2, 1, 2, 2, 1, 7, 2, 2, 2, 3, 1, 1, 2, 2, 3, 1, 3, 3, 2, 2, 3, 3, 3, 1, 2, 1, 3}
Returns: {2, 2, 2, 2, 2, 2 }
{3, 14, 1, 18, 13}
{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}
Returns: {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }
{18, 6, 15, 6, 18, 7, 17, 11, 3, 14, 9, 12, 6, 8, 5, 19, 6, 16, 4, 5, 12, 17, 12}
{3, 3, 1, 2, 3, 3, 3, 1, 3, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 13, 1, 2, 2, 3, 2, 1, 3, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 2, 1, 1, 3, 3, 2, 2, 1, 3, 3, 1, 3, 1, 1, 2, 2, 3, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 3, 3, 2, 3, 2, 1, 3, 3, 2, 2, 3, 3, 3, 2, 1, 3}
Returns: {8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 }
{6, 20, 20, 20, 20, 20, 20, 20, 20, 20, 13, 1}
{20, 20, 15, 17, 20, 20, 5, 3, 20, 20}
Returns: {0, 10, 11, 11, 11 }
{3, 1, 2, 16, 15, 18, 17, 1, 5, 19, 8, 9, 11, 1, 13, 1}
{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 15, 15, 15, 15, 15, 15 }
{17, 11, 3, 15, 19, 13, 8, 9, 7, 1, 9, 16, 3, 4, 11, 18, 6, 20, 16, 9, 16, 19, 13, 16}
{20, 6, 18, 1, 16, 17, 18, 15, 17, 16, 19, 18, 15, 9, 6, 19, 20, 17, 16}
Returns: {1, 2, 2, 5, 5, 6, 7, 8, 9, 10, 12, 13, 14, 14, 14, 14, 16, 19, 22 }
{19, 19, 16, 20, 20, 6, 7, 20, 19, 19, 12, 19, 16, 20, 18, 2, 10, 20, 18, 13, 18, 19, 3, 5, 19, 20}
{7, 16, 5, 13, 14, 10, 11, 7, 13, 9, 20, 14, 16, 12, 2, 6, 1, 9, 13, 17, 9, 3, 1, 2, 10, 11, 12, 9, 14, 7, 7, 12, 9, 3, 9, 8, 1, 13, 16, 16, 5, 6, 15, 2, 8, 16, 17, 5, 17, 15, 9, 3, 11, 16, 15, 17, 17, 18, 3, 3, 14, 9, 8, 14, 8, 7, 6, 12, 11, 2, 11, 10, 5, 1, 12, 7, 8, 9, 8, 10, 5, 13, 1, 7, 10, 17, 5, 12, 8, 4, 15, 15, 1, 18, 15, 14, 10, 10, 14, 15, 9, 7, 13, 2, 2, 14, 16, 19, 16, 4, 2, 1, 17, 4, 15, 4, 5, 1, 13, 5, 5, 7, 17, 14, 9, 12, 16, 5, 2, 1, 1, 14, 10, 4, 1, 5, 9, 6, 6, 11, 7, 11, 3, 1, 11, 4, 4, 3, 9, 3, 3, 6, 8, 13, 9, 4, 15, 12, 1, 12, 11, 15, 2, 7, 16, 1, 15, 3, 13, 8, 10, 5, 2, 11, 17, 6, 16, 9, 5, 15, 4, 6, 6, 4, 2, 19, 9, 15, 8, 5, 1, 9, 16, 2, 1, 14, 15, 2, 12, 17, 10, 15, 9, 1, 9, 4, 7, 13, 1, 16, 10, 3, 16, 12, 17, 3, 11, 4, 8, 11, 11, 17, 11, 17, 12, 1, 7, 14, 12, 16, 7, 2, 7, 2, 2, 16, 12, 8, 17, 13, 12, 14, 7, 6, 1, 15, 9, 15, 13, 14, 14, 8, 11, 6, 11, 16, 6, 5, 6, 16, 6, 14, 3, 1, 17, 7, 15, 4, 8, 3, 19, 6, 1, 1, 8, 17, 1, 9, 1, 7, 7, 1, 6, 13, 7, 10, 10, 16, 11, 16, 8, 9, 16, 4, 9, 4, 8, 16, 6, 17, 9, 20, 15, 11, 9, 13, 2, 11, 15, 15, 11, 13, 3, 3, 17, 9, 10, 2, 7, 9, 10, 9, 15, 2, 13, 11, 17, 12, 5, 1, 6, 9, 3, 9, 12, 6, 13, 8, 12, 4, 10, 9, 5, 18, 7, 6, 2, 11, 2, 1, 16, 6, 19, 6, 7, 3, 10, 2, 4, 16, 16, 7, 14, 11, 2, 14, 17, 11, 17, 6, 14, 4, 1, 2, 2, 4, 14, 5, 5, 7, 11, 11, 1, 7, 3, 4, 2, 9, 3, 12, 11, 13, 11, 13, 10, 15, 20, 13, 18, 6, 12, 4, 13, 10, 10, 17, 12, 10, 9, 13, 7, 11, 7, 1, 6, 5, 14, 4, 16, 7, 2, 12, 8, 16, 7, 12, 16, 16, 12, 16, 2, 2, 8, 5, 8, 14, 15, 9, 10, 7, 5, 10, 5, 12, 4, 13, 11, 1, 8, 1, 17, 1, 15, 1, 16, 4, 10, 3, 2, 17, 2, 15, 12, 4, 3, 13, 11, 17, 5, 13, 5, 9, 15, 14, 13, 2, 9, 12, 4, 10, 11, 12, 13, 14, 17, 2, 16, 12, 4, 8, 8, 13, 5, 9, 8, 12, 15, 4, 5, 6, 16, 12, 10, 8, 12, 3, 9, 9, 15, 14, 11, 7, 17, 13, 2, 6, 13, 8, 15, 10, 6, 8, 1, 3, 13, 1, 16, 15, 4, 8, 13, 14, 16, 3, 3, 11, 1, 4, 17, 14, 7, 4, 10, 12, 3, 8, 9, 11, 3, 11, 2, 4, 10, 5, 4, 4, 12, 3, 14, 1, 7, 15, 2, 1, 13, 1, 8, 3, 8, 11, 8, 13, 11, 14, 14, 13, 10, 10, 8, 17, 17, 15, 16, 14, 17, 1, 3, 9, 2, 9, 4, 16, 9, 7, 5, 3, 5, 3, 5, 7, 2, 8, 6, 3, 17, 2, 12, 13, 7, 11, 9, 6, 10, 6, 5, 12, 16, 8, 13, 10, 4, 15, 13, 13, 13, 8, 9, 16, 10, 15, 1, 7, 1, 12, 14, 5, 6, 17, 17, 9, 15, 15, 14, 10, 15, 5, 1, 6, 16, 9, 16, 2, 14, 16, 7, 6, 3, 9, 15, 1, 7, 14, 5, 2, 4, 13, 17, 3, 11, 8, 1, 11, 15, 10, 14, 16, 3, 5, 7, 1, 7, 7, 15, 12, 15, 14, 13, 10, 14, 3, 16, 16, 10, 17, 10, 3, 15, 17, 12}
Returns: {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23 }
{5, 1, 6, 2, 11, 6}
{3, 10, 20, 20, 5, 9, 5, 14, 1}
Returns: {0, 0, 1, 2, 3, 3, 5, 5 }
{17, 16, 14, 17, 11, 8, 12, 16, 16, 12, 14, 11, 9, 10, 17, 15, 13, 18, 10, 11, 8, 18, 19, 19, 12, 8, 18, 17, 2, 10, 9, 14, 19, 9, 9}
{11}
Returns: {28 }
{6, 6, 12, 12, 7, 19, 18, 11, 20, 10, 12, 13, 6, 12, 20, 8, 13, 8, 1, 8, 12, 4, 5, 7, 11, 18, 2, 2, 9, 10, 10, 12}
{19, 1, 12, 2}
Returns: {18, 27, 27 }
{18, 14, 17, 19, 15, 14, 19, 15, 15, 16, 19, 17, 20, 16, 14, 20, 20, 16}
{10, 4, 13}
Returns: { }
{2, 1, 13, 15, 15, 15, 4}
{7, 10, 1, 6, 10, 4, 6, 7, 4, 6, 7, 12, 12, 6, 2, 9, 8, 8, 12, 10, 9, 3, 4, 1, 12, 6, 9, 12, 4, 9, 11, 2, 1, 2, 10, 6, 12, 3, 12, 9, 2, 2, 6, 3, 6, 12, 3, 7, 6, 4, 4, 4, 7, 2, 6, 10, 12, 13, 11, 9, 18, 6, 4, 11, 12, 2, 2, 10, 4, 8, 9, 6, 11, 3, 3, 1, 11, 2, 5, 11, 2, 3, 12, 5, 1, 1, 4, 12, 6, 7, 9, 5, 2, 7, 16, 11, 4, 10, 6, 5, 10, 12, 6, 12, 8, 10, 3, 7, 9, 7, 11, 8, 1, 7, 9, 11, 7, 11, 2, 1, 11, 7, 2, 12, 2, 3, 5, 1, 12, 12, 12, 1, 5, 1, 4, 9, 3, 10, 4, 2, 12, 8, 6, 5, 2, 4, 9, 1, 9, 3, 3, 7, 4, 5, 5, 12, 10, 12, 4, 1, 5, 9, 5, 11, 11, 2, 5, 3, 8, 11, 4, 8, 10, 5, 7, 6, 8, 9, 12, 8, 6, 4, 6, 4, 5, 8, 12, 6, 11, 4, 12, 6, 11, 2, 8, 6, 12, 3, 9, 12, 4, 12, 8, 2, 11, 7, 9, 8, 2, 11, 8, 8, 5, 12, 6, 12, 3, 11, 7, 5, 8, 10, 9, 1, 12, 8, 15, 4, 12, 3, 3, 7, 12, 8, 1, 9, 10, 4, 3, 8, 11, 6, 8, 2, 3, 6, 12, 10, 11, 11, 7, 5, 2, 9, 2, 2, 8, 6, 9, 10, 5, 1, 10, 7, 10, 3, 2, 10, 5, 7, 3, 9, 9, 4, 4, 5, 10, 5, 2, 10, 8, 12, 3, 9, 1, 12, 4, 7, 6, 7, 1, 12, 8, 5, 12, 12, 1, 8, 6, 7, 5, 11, 11, 2, 9, 11, 7, 11, 1, 5, 12, 4, 4, 11, 4, 18, 12, 1, 4}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 }
{17, 20, 18, 6, 20, 19, 18, 17, 1, 4}
{5, 5, 19, 6, 10, 6, 2, 15, 17, 18, 5}
Returns: {3, 3, 3, 8, 8, 8, 8, 8, 8, 9 }
{4, 1, 2, 19, 20, 8, 20, 18, 2, 20, 20, 19, 20, 19, 17, 18, 18, 20, 20, 20, 9, 20, 20, 19, 18, 18, 18, 12, 3, 18, 15, 19, 19, 15, 18, 13, 13, 20, 7, 18, 18, 16, 20, 2, 20, 19, 19, 19, 20, 14, 18, 18, 19, 19, 19, 18, 20, 4, 17, 15, 11, 18, 19, 11, 14, 18, 18, 18, 20, 18, 19, 19, 2, 20, 20, 14, 18, 18, 20, 6, 18, 20, 19, 19, 19, 9, 19, 20, 19, 12, 18, 19, 20, 20, 16, 20, 20, 20, 6, 19}
{18, 18, 10, 20, 9, 20, 19, 20, 12, 9, 1, 20, 1, 12, 15, 18, 19, 19, 11, 19, 18, 12, 19, 19, 14, 20, 18, 18, 13, 20, 19, 3, 16, 20, 19, 9, 14, 9, 20, 20, 12, 19, 9, 20, 18, 12, 9, 5, 18, 19, 18, 20, 19, 18}
Returns: {0, 1, 2, 2, 5, 5, 8, 14, 20, 20, 20, 20, 27, 27, 27, 27, 28, 30, 33, 33, 35, 36, 36, 38, 41, 41, 43, 49, 57, 57, 58, 59, 59, 59, 60, 63, 63, 63, 63, 64, 72, 72, 75, 75, 79, 85, 85, 85, 85, 89, 94, 94, 98 }
{16, 19, 20, 11, 13, 15, 14, 2, 16, 16, 15, 16, 18, 13, 14}
{6, 18, 6}
Returns: {7, 7 }
{14, 18, 16, 19, 2}
{10, 1, 5, 11, 1, 15, 2, 9, 2, 9, 7, 1, 9, 9, 20, 6, 7, 2, 12, 9, 3, 8, 2, 10, 9, 10, 7, 3, 10, 2, 1, 10, 4}
Returns: {0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4 }
{18, 16, 17}
{2, 12, 12, 10, 10, 5, 3, 10, 12, 3, 4, 12, 13, 7, 7, 15, 14, 4, 14, 7, 10, 6, 12, 6, 11, 8, 15, 10, 11, 9, 10, 1, 11, 10, 5, 14, 7, 15, 1, 4, 4, 13, 9, 11, 4, 15, 10, 5, 15, 5, 13, 1, 5, 5, 6, 14, 14, 9, 3, 7, 14, 7, 12, 10, 14, 7, 8, 1, 13, 12, 10, 13, 14, 5, 1, 6, 5, 7, 2, 2, 8, 4, 15, 1, 3, 5, 12, 9, 11, 1, 14, 11, 15, 7, 11, 5, 14, 5, 11, 13, 11, 8, 11, 2, 1, 6, 15, 5, 1, 5, 10, 4, 9, 13, 13, 11, 7, 6, 10}
Returns: { }
{15, 9, 15, 17, 1, 3, 6, 3, 14, 8, 2, 16, 17, 1, 16, 7, 5, 15, 7, 10, 10, 16, 13, 13, 9, 8, 7, 6, 6, 10, 18, 6, 17, 3, 19, 14, 11, 5}
{1, 14, 12, 9, 4, 13, 12, 5, 15, 10, 4, 18, 2, 8, 15, 7, 7, 11, 8, 11, 11, 19, 4, 2, 16, 4, 12, 9, 9, 20, 18, 18, 11, 10, 10, 8, 10, 15, 11, 20, 14, 10, 9, 13, 13, 19, 19, 3, 18, 12, 17, 12, 19, 3, 3, 18, 15, 19, 1, 5, 6, 14, 18, 19, 4, 16, 13, 15, 4, 4, 15, 4, 11, 1, 17, 6, 11, 13, 8, 5, 8, 16, 10, 5, 1, 8, 10, 16, 3, 8, 5, 8, 6, 12, 6, 4, 2, 10, 20, 5, 20, 8, 10, 12, 4, 6, 5, 15, 10, 4, 2, 11, 5, 13, 10, 14, 1, 8, 10, 18, 16, 13, 12, 14, 15, 17, 18, 17, 4, 11, 1, 13, 10, 8, 15, 12, 3, 11, 10, 19, 15, 20, 16, 3, 16, 20, 19, 12, 12, 6, 7, 18, 14, 1, 13, 16, 5, 19, 11, 16, 19, 2, 7, 4, 19, 5, 11, 17, 5, 10, 7, 6, 16, 9, 11, 14, 17, 2, 9, 18, 6, 16, 11, 9, 14, 2, 1, 10, 1, 20, 10, 7, 7, 6, 19, 20, 5, 2, 3, 13, 3, 4, 2, 3, 13, 11, 6, 5, 13, 19, 17, 20, 8, 12, 16, 4, 17, 10, 2, 12, 1, 8, 16, 3, 1, 8, 2, 11, 9, 1, 20, 13, 20, 15, 8, 17, 13, 11, 7, 14, 4, 11, 10, 9, 2, 4, 13, 7, 14, 20, 7, 20, 6, 10, 6, 1, 10, 13, 20, 14, 1, 20, 4, 6, 5, 3, 2, 6, 2, 10, 2, 9, 15, 5, 2, 19, 14, 9, 14, 8, 4, 6, 7, 16, 6, 6, 1, 8, 1, 4, 4, 1, 20, 10, 11, 2, 17, 7, 10, 14, 6, 8, 20, 10, 11, 7, 9, 19, 19, 9, 15, 4, 15, 16, 9, 1, 15, 15, 14, 10, 14, 7, 3, 13, 9, 4, 4, 16, 15, 5, 8, 4, 20, 2, 5, 8, 16, 6, 5, 16, 14, 6, 20, 1, 14, 8, 14, 15, 10, 7, 6, 6, 17, 18, 20, 12, 1, 6, 17, 6, 20, 17, 20, 2, 12, 18, 7, 3, 4, 14, 10, 13, 6, 4, 13, 2, 13, 17, 18, 10, 7, 9, 14, 5, 13, 17, 14, 2, 17, 11, 4, 19, 11, 14, 8, 9, 15, 4, 6, 13, 8, 12, 13, 11, 12, 17, 3, 1, 20, 12, 10, 1}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 12, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 35, 35, 35, 35, 35, 35, 36, 36, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37 }
{18, 12, 20, 17, 8, 18, 19, 14, 8, 18, 19, 11, 8, 14, 10, 20, 6, 12, 18, 13, 14, 13, 19, 20, 15, 19, 17, 8, 11, 14, 10, 13, 20, 8, 11, 9, 18, 13, 18, 15, 18, 17, 11, 8}
{13}
Returns: {16 }
{6, 16}
{4, 1, 3, 2, 3, 15, 10, 15}
Returns: {0, 0, 0, 0, 0, 0 }
{1, 2, 8, 9, 1, 14, 1, 1, 1, 3, 1, 1, 1, 20, 2, 1, 3, 1, 13, 3, 3, 2, 9, 10, 10, 1, 1, 7, 3, 2, 17, 14, 6, 2, 19, 2, 12, 17, 3, 6, 9, 2, 3, 14, 17, 3, 3, 18, 1, 5, 3, 12, 3, 14, 16, 2, 12, 1, 16, 2, 1, 1, 2, 3, 3, 4, 1, 3, 1, 11, 2, 8, 9, 3, 1, 1, 10, 1, 14, 7, 2, 4, 2, 10, 6, 2, 14, 15, 2}
{2, 8, 2, 3, 2, 6, 3, 1, 2, 2, 1, 3, 2, 3, 2, 3, 3, 18, 3, 3, 2, 1, 3, 2, 2, 3, 2, 18, 3, 6, 3, 2, 3, 2, 1, 1, 3, 1, 1, 3, 3, 3, 1, 2, 2, 1, 2, 1, 7, 2, 10, 3, 7, 1, 2, 1, 2, 3, 3, 1, 3, 3, 3, 1, 1, 1, 1, 2, 2, 4, 3, 3, 1, 1, 2, 1, 3, 3, 2, 3, 3, 19, 1, 3, 1, 3, 2, 2, 3, 1, 2, 2, 3, 3, 9, 1, 19, 2, 1, 3, 1, 1, 1, 1, 2, 3, 10, 3, 19, 1, 3, 3, 3, 19, 1, 1, 3, 3, 3, 2, 3, 18, 1, 1, 2, 2, 1, 1, 1, 3, 19, 2, 2, 3, 11, 2, 1, 2, 1, 1, 18, 1, 2, 1, 1, 2, 1, 2, 3, 1, 3, 1, 17, 2, 1, 3, 1, 1, 8, 1, 3, 3, 3, 10, 2, 3, 1, 3, 2, 1, 2, 2, 1, 2, 2, 2, 9, 20, 1, 1, 1, 2, 2, 2, 1, 1, 15, 11, 1, 1, 11, 3, 3, 3, 3, 2, 5, 3, 1, 3, 3, 1, 1, 3, 2, 9, 2, 2, 2, 1, 1, 7, 2, 2, 2, 3, 3, 3, 2, 2, 1, 2, 5, 1, 2, 2, 2, 3, 1, 19, 1, 3, 3, 3, 1, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 2, 3, 1, 1, 2, 1, 1, 2, 2, 3, 8, 2, 2, 2, 1, 3, 1, 16, 3, 2, 2, 2, 1, 3, 3, 16, 2, 15, 1, 11, 1, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 1, 2, 1, 2, 1, 2, 18, 3, 1, 3, 2, 2, 3, 3, 1, 9, 1, 3, 18, 3, 16, 2, 2, 3, 1, 1, 16, 3, 15, 1, 1, 1, 1, 3, 2, 8, 1, 3, 2, 1, 1, 7, 3, 1, 2, 1, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 1, 3, 3, 3, 1, 1, 1, 3, 2, 1, 3, 3, 3, 4, 2, 3, 2, 16, 3, 2, 2, 1, 2, 15, 1, 3, 3, 3, 2, 1, 1, 20, 16, 3, 3, 3, 2, 3, 1, 3, 3, 3, 19, 1, 2, 2, 1, 3, 2, 3, 2, 1, 3, 12, 3, 3, 3, 3, 3, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 13, 2, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1}
Returns: {0, 0, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 17, 17, 17, 17, 17, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 35, 38, 38, 38, 38, 38, 38, 38, 38, 38, 41, 42, 42, 42, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 46, 46, 46, 46, 48, 48, 48, 48, 48, 48, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 52, 52, 52, 52, 52, 52, 52, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 57, 57, 57, 57, 57, 57, 57, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 63, 63, 63, 63, 64, 64, 64, 66, 66, 67, 67, 67, 67, 67, 67, 68, 68, 70, 70, 70, 70, 70, 70, 70, 73, 73, 73, 73, 73, 73, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 75, 75, 75, 75, 75, 75, 77, 77, 77, 77, 77, 77, 77, 77, 80, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88 }
{5}
{4, 15, 10, 7, 6, 8, 2, 5, 7, 1}
Returns: {0, 0 }
{20, 19, 18, 20, 17, 19, 13, 16, 17, 16, 13, 19, 16, 18, 17, 14, 19, 20, 16, 13, 16, 20, 13, 16, 14, 17, 19, 16, 12, 13, 15, 18, 15, 20, 17, 16, 17, 19, 14, 18, 20, 18, 17, 16, 15, 19, 15, 19, 14, 15, 14, 17}
{6, 19, 7}
Returns: {28, 28 }
{12, 18, 12, 16, 15, 18, 11, 15, 17, 9, 11, 5, 20, 20, 12, 8, 11, 19, 15, 12, 12, 14, 19, 19, 12, 9, 8, 12, 13, 14, 20, 8, 17, 9, 20, 19, 10, 4, 14, 19, 15, 20, 8, 13, 12, 8, 11, 16, 11, 9, 17, 15, 20, 16, 14, 12, 11, 19, 15, 18, 3, 20, 8, 14, 9, 1, 9, 1, 12, 13, 13, 13, 18, 12, 17, 8, 20, 8, 9, 10, 16, 15, 13, 14, 14, 8, 18, 6, 17, 9, 9, 17, 19, 14, 20, 12, 14, 19}
{9, 3, 15, 3, 12, 10, 7, 14, 2, 14}
Returns: {11, 37, 37, 60, 60, 65, 67, 67, 87, 87 }
{19, 17}
{11, 7, 15, 10, 5, 13, 16, 8, 9, 8, 7, 3, 3, 14, 12, 6, 9, 5, 19, 8, 8, 6, 6, 4, 2, 1, 9, 9, 4, 10, 3, 15, 8, 3, 2, 9, 3, 12, 16, 15, 1, 2, 9, 6, 11, 16, 2, 9, 5, 12, 11, 1, 6, 5, 14, 13, 13, 5, 13, 14, 9, 4, 15, 14, 16, 5, 3, 14, 4, 15, 5, 6, 4, 1, 9, 13, 10, 7, 6, 6, 8, 4, 14, 14, 16, 15, 15, 11, 2, 4, 1, 15, 10, 14, 5, 8, 12, 3, 8, 7, 14, 3, 4, 6, 16, 1, 5, 12, 1, 6, 9, 4, 8, 1, 13, 2, 6, 8, 5, 5, 15, 1, 12, 1, 2, 9, 12, 6, 16, 4, 16, 10, 15, 5, 16, 12, 16, 6, 15, 6, 8, 2, 10, 8, 9, 13, 18, 13, 5, 8, 5, 2, 3, 15, 3, 6, 8, 9, 13, 8, 8, 4, 9, 4, 1, 7, 13, 8, 14, 7, 5, 6, 3, 7, 4, 8, 15, 5, 7, 2, 4, 15, 16, 11, 13, 16, 12, 16, 5, 5, 4, 9, 11, 11, 7, 4, 6, 2, 8, 2, 10, 6, 5, 8, 11, 8, 3, 12, 15, 1, 4, 16, 14, 5, 16, 6, 6, 1, 10, 5, 14, 15, 9, 4, 4, 9, 10, 13, 7, 4, 10, 6, 6, 16, 1, 6, 3, 7, 12, 6, 5, 1, 16, 6, 16, 14, 15, 7, 6, 12, 10, 9, 1, 4}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{2, 7, 9, 18, 18, 2, 8, 7, 14, 2, 2, 6, 3, 1, 12, 20, 3, 7, 4, 4, 4, 7, 16, 20, 6, 8, 5, 9}
{7, 6, 5, 6, 8, 1, 4, 2, 8, 6, 5, 5, 7, 2, 4, 3, 8, 7, 1, 9, 5, 6, 8, 4, 3, 9, 4, 7, 7, 7, 15, 4, 1, 5, 12, 2, 8, 3, 1, 9, 7, 9, 7, 2, 4, 15, 1, 20, 1, 7, 16, 7, 4, 7, 5, 8, 2, 1, 1, 9, 6, 6, 8, 11, 4, 2, 14, 7, 5, 3, 2, 6, 3, 5, 9, 3, 9, 7, 9, 8, 1, 1, 7, 5, 4, 2, 7, 4, 3, 5, 13, 9, 2, 5, 3, 5, 8, 8, 9, 7, 5, 9, 4, 7, 6, 4, 9, 4, 4, 3, 5, 8, 4, 6, 4, 6, 5, 8, 6, 7, 7, 9, 2, 6, 9, 3, 5, 2, 7, 3, 3, 5, 2, 16, 10, 3, 5, 5, 8, 6, 8, 15, 6, 6, 4, 6, 5, 5, 9, 4, 2, 1, 3, 5, 2, 3, 3, 11, 3, 9, 4, 3, 2, 5, 1, 7, 6, 4, 4, 15, 2, 15, 3, 3, 8, 17, 5, 1, 1, 1, 13, 18, 4, 1, 8, 1, 8, 1, 9, 4, 2, 8, 6, 6, 4, 8, 8, 17, 9, 9, 8, 6, 2, 6, 7, 4, 1, 5, 15, 8, 5, 8, 8, 9, 3, 9, 8, 7, 7, 6, 17, 9, 5, 6, 4, 2, 9, 3, 9, 12, 7, 8, 2, 5, 18, 11, 7, 5, 6, 1, 3, 8, 7, 9, 14, 2}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27 }
{11}
{6, 7, 13, 3, 2, 1, 2, 1, 3, 3, 6, 3, 5, 14, 16, 3, 6, 4, 3, 1, 5, 2, 5, 4, 2, 3, 1, 1, 2}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{9, 10, 11, 20, 2, 20}
{5, 9, 9, 4, 6, 10, 1, 11, 3, 11, 11, 3, 8, 10, 11, 7, 8, 8, 9, 4, 6, 5, 10, 10, 8, 1, 4, 10, 5, 6, 1, 4, 2, 9, 9, 1, 3, 11, 10, 6, 4, 7, 7, 6, 4, 5, 4, 1, 16, 10, 2, 4, 3, 11, 5, 2, 4, 6, 9, 11, 1, 5, 9, 3, 9, 8, 3, 6, 7, 3, 1, 8, 1, 4, 7, 10, 10, 7, 1, 10, 6, 10, 8, 4, 2, 8, 1, 8, 8, 6, 10, 11, 5, 10, 8, 7, 6, 8, 10, 9, 10, 11, 8, 2, 11, 4, 5, 11, 9, 4, 8, 6, 7, 9, 5, 3, 10, 13, 8, 2, 9, 20, 9, 8, 3, 8, 9, 10, 3, 6, 2, 3, 6, 3, 10, 9, 7, 10, 3, 10, 4, 2, 4, 7, 6, 10, 8, 7, 2, 7, 1, 2, 4, 2, 5, 1, 4, 8, 8, 5, 12, 3, 5, 3, 6, 7, 5, 1, 10, 2, 4, 3, 8, 5, 11, 6, 6, 9, 10, 2, 11, 11, 3, 9, 4, 1, 3, 1, 3, 8, 9, 6, 5, 3, 4, 5, 9, 8, 7, 6, 9, 11, 1, 6, 7, 9, 5, 2, 10, 2, 1, 10, 1, 3, 1, 5, 2, 2, 2, 1, 2, 11, 2, 9, 6, 6, 5, 3, 9, 4, 2, 7, 7, 11, 1, 4, 7, 5, 5, 1, 8, 1, 11, 8, 3, 8, 5, 6, 2, 5, 9}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 }
{13, 5, 10, 8, 4, 8, 11, 13, 17, 10, 17, 11, 6, 5, 9, 9, 17, 11, 9, 8, 12, 20, 15, 6, 10, 18}
{3, 2, 1, 1, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 1, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 1, 1, 2, 1, 3, 1, 2, 3, 1, 2, 2, 3, 3, 1, 2, 1, 1, 1, 3, 1, 2, 2, 3, 1, 1, 1, 3, 3, 3, 3, 1, 2, 2, 3, 1, 1, 1, 2, 3, 1, 1, 2, 2, 3, 1, 3, 3, 3, 1, 2, 1, 3, 3, 2, 3, 3, 2, 1, 3, 2, 2, 1, 3, 3, 1, 1, 3, 3, 1, 2, 2, 1, 3, 3, 3, 2, 2, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 2, 1, 2, 1, 1, 1, 1, 2, 3, 3, 2, 3, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 3, 1, 1, 3, 3, 2, 2, 1, 1, 1, 1, 3, 2, 1, 3, 1, 1, 1, 2, 1, 3, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 2, 1, 1, 2, 2, 1, 3, 3, 3, 1, 3, 3, 2, 3, 1, 1, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 3, 1, 3, 3, 3, 1, 2, 2, 3, 3, 1, 2, 2, 1, 1, 1, 3, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 3, 3, 3, 1, 1, 3, 2, 3, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 3, 1, 2, 1, 3, 1, 1, 2, 2, 2, 3, 2, 3, 1, 1, 3, 2, 2, 1, 3, 1, 2, 2, 3, 1, 3, 3, 2, 1, 1, 2, 1, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 3, 2, 3, 1, 2, 2, 3, 3, 2, 3, 1, 1, 1, 3, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 3, 1, 3, 2, 2, 1, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 2, 1, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 2}
Returns: { }
{15}
{1, 12, 6, 8, 5, 5, 2, 6, 5, 4, 3, 8, 1, 4, 7, 4, 8, 2, 7, 6, 1, 3, 3, 8, 3, 8, 8, 8, 4, 2, 8, 18, 7, 2, 7, 5, 3, 1, 5, 8, 8, 7, 5, 4, 4, 11, 1, 5, 6, 6, 2, 1, 8, 2, 5}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{7, 6, 20}
{14}
Returns: {1 }
{20, 2, 4, 1, 10, 8, 19, 8, 2, 7, 18, 8}
{17, 5, 5, 6, 6, 3, 5, 1, 10, 4, 2, 19, 15, 9, 15, 4, 17, 4, 8, 7, 5, 17, 1, 3, 13, 9, 4, 15, 15, 4, 16, 7, 7, 13, 10, 13, 6, 16, 17, 19, 11, 4, 17, 9, 6, 13, 7, 10, 3, 15, 7, 3, 8, 16, 15, 16, 13, 17, 12, 8, 17, 5, 8, 12, 3, 10, 4, 12, 10, 7, 2, 15, 13, 4, 9, 14, 17, 8, 13, 6, 19, 7, 6, 4, 7, 11, 7, 8, 14, 9, 11, 10, 4, 11, 12, 5, 2, 2, 3, 2, 9, 1, 5, 10, 3, 11, 8, 12, 10, 14, 10, 6, 6, 4, 16, 1, 9, 15, 8, 12, 5, 4, 13, 5, 17, 7, 4, 5, 8, 16, 17, 10, 11, 17, 2, 16, 12, 16, 10, 1, 15, 7, 7, 4, 6, 15, 7, 15, 8, 7, 8, 15, 10, 16, 1, 6, 12, 6, 1, 2, 17, 14, 13, 12, 1, 13, 5, 16, 2, 10, 3, 4, 10, 10, 10, 12, 7, 8, 16, 17, 6, 6, 4, 16, 3, 1, 14, 1, 12, 3, 12, 10, 7, 5, 5, 5, 8, 14, 11, 6, 2, 11, 17, 5, 5, 13, 2, 10, 10, 8, 8, 16, 11, 9, 11, 17, 14, 12, 3, 6, 12, 4, 7, 6, 3, 12, 13, 7, 13, 13, 8, 16, 12, 19, 17, 11, 13, 17, 1, 10, 3, 16, 12, 7, 11, 11, 2, 6, 13, 15, 14, 16, 12, 8, 10, 7, 3, 7, 12, 10, 11, 15, 1, 9, 12, 12, 11, 10, 9, 1, 3, 14, 5, 15, 1, 4, 8, 5, 13, 2, 7, 7, 17, 10, 2, 11, 5, 7, 7, 11, 9, 15, 17, 4, 13, 3, 10, 1, 4, 10, 16, 5, 15, 14, 1, 6, 11, 4, 3, 13, 2, 9, 16, 5, 13, 14, 9, 16, 10, 3, 17, 5, 11, 4, 12, 17, 7, 3, 9, 12, 17, 8, 7, 9, 6, 1, 12, 12, 14, 5, 15, 10, 15, 5, 4, 15, 17, 7, 12, 9, 1, 1, 2, 3, 3, 9, 1, 7, 10, 7, 11, 2, 8, 11, 7, 4, 11, 16, 6, 17, 11, 1, 9, 16, 4, 6, 5, 6, 10, 17, 12, 13, 7, 4, 9, 14, 17, 17, 4, 4, 9, 11, 10, 10, 7, 17, 15, 14, 9, 3, 10, 4, 7, 16, 5, 10, 3, 17, 5, 15, 4, 5, 8, 5, 4, 2, 16, 2, 7, 16, 5, 13, 17, 7, 12, 8, 4, 8, 3, 9, 2, 9, 10, 6, 9, 14, 6, 14, 14, 14, 7, 3, 7, 8, 4, 10, 4, 7, 1, 11, 12, 4, 7, 16, 12, 9, 5, 11, 17, 14, 6, 11, 10, 12, 13, 10, 6, 10, 15, 7, 14, 1, 6, 18, 15, 9, 4, 6, 4, 20, 5, 6, 12, 14, 4, 3, 6, 16, 8, 12, 12, 3, 5, 6, 6, 10, 17, 5, 9, 8, 8, 9, 10, 7, 8, 2, 11, 9, 1, 9, 11, 17, 12, 6, 12, 3, 1, 6, 16, 3, 3, 15, 5, 4, 3, 4, 10, 4, 6, 3, 4, 3, 10, 10, 10, 8, 7, 5, 12, 10, 10, 16, 9, 17, 6, 19, 3, 8, 10, 15, 10, 9, 10, 2, 6, 3, 16, 6, 17, 3, 4, 14, 5, 4, 3, 5, 11, 14, 3, 17, 3, 14, 9, 3, 13, 8, 16, 17, 6, 15, 11, 3, 9, 9, 9, 3, 13, 18, 16, 13, 3, 3, 8, 13, 2, 7, 2, 15, 16, 2, 4, 7, 10, 1, 12, 7, 12, 11, 8, 2, 7, 2, 14, 1, 13, 16, 14, 2, 16, 10, 15, 12, 15, 4, 2, 5, 2, 3, 12, 3, 3, 4, 1, 15, 15, 8, 12, 2, 1, 10, 15, 16, 10, 6, 6, 8, 1, 2, 13, 4, 14, 2, 16, 11, 16, 11, 1, 4, 2, 9, 1, 3, 4, 2, 16, 7, 17, 11, 6, 5, 6, 2, 15, 9, 6, 17, 9, 4, 7, 16, 1, 4, 11, 2, 12, 13, 6, 6, 13, 4, 10, 4, 10, 1, 15, 16, 8, 8, 3, 5, 15, 13, 14, 9, 11, 12, 12, 7, 9, 11, 9, 16, 7, 11, 10, 5, 4, 17, 16, 15, 2, 17, 11, 15, 15, 13, 12, 16, 3, 17, 5, 7, 4, 16, 9, 17, 13, 8, 13, 13, 2, 4, 17, 6, 16, 3, 16, 5, 7, 9, 4, 8, 6, 12, 10, 3, 10, 6, 16, 12, 4, 14, 17, 8, 1, 14, 6, 17, 9, 5, 10, 5, 17, 15, 3, 1, 3, 11, 2, 8, 6, 6, 17, 13, 2, 9, 1, 8, 16, 12, 15, 15, 15, 13, 12, 9, 15, 12, 9, 15, 5, 11, 11, 10, 11, 6, 10, 14, 7, 6, 1, 2, 8, 5, 2, 4, 6, 14, 6, 9, 17, 15, 9, 17, 3, 2, 14, 11, 16, 1, 9, 4, 3, 2, 4, 15, 2, 13, 3, 9, 7, 7, 13, 1, 4, 11, 12, 9, 9, 11, 13, 17, 11, 17, 16, 12, 11, 12, 10, 4, 10, 7, 8, 1, 13, 3, 16, 18, 2, 11, 10, 10, 7, 9, 6, 9, 17, 8, 12, 9, 5, 13, 12, 12, 2, 20, 4, 16, 5, 9, 12, 14, 6, 8, 13, 13, 9, 17, 7, 1, 17, 14, 13, 11, 13, 10, 2, 13, 3, 3, 13, 3, 10, 14, 10, 17, 1, 5, 8, 5, 14, 5, 11, 9}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 }
{19, 20, 19, 20, 18, 18, 5, 17, 12, 19, 17, 13}
{10, 20, 11, 7, 10, 19, 8, 4, 17, 10, 2, 18, 10, 5, 11, 11}
Returns: {6, 6, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11 }
{2, 4, 2, 4, 2, 10, 2, 8, 20, 14, 13, 10, 3, 11, 10, 6, 4, 15, 15, 7, 7, 13, 8, 13, 1, 1, 6, 15, 7, 4, 8, 17, 5, 12, 18, 8, 15, 8, 14, 9, 16, 3, 12, 10, 12, 18, 7, 11, 12, 4, 9, 12}
{13, 6, 11, 3, 14, 7, 6, 1, 3, 2, 18, 19, 7, 13, 4, 3, 4, 9, 9, 12, 13, 18, 8, 15, 15, 15, 11, 4, 7, 14, 12, 14, 14, 4, 14, 6, 12, 11, 16, 17, 16, 4, 2, 5, 15, 3, 16, 11, 15, 1, 18, 10, 3, 2, 4, 1, 4, 16, 8, 10, 1, 2, 20, 8, 11, 4, 16, 14, 15, 2, 3, 16, 7, 9, 9, 13, 5, 2, 3, 9, 16, 6, 10, 19, 9, 9, 16, 9, 19, 7, 14, 4, 5, 16, 9, 2, 6, 18, 4, 2, 6, 1, 2, 12, 11, 4, 2, 11, 15, 9, 2, 11, 7, 14, 16, 3, 8, 8, 5, 4, 12, 6, 3, 15, 14, 2, 6, 7, 6, 1, 13, 7, 10, 4, 7, 2, 14, 5, 4, 12, 2, 14, 3, 16, 2, 12, 1, 14, 6, 11, 12, 12, 19, 2, 15, 10, 3, 13, 8, 11, 10, 4, 9, 5, 14, 3, 7, 4, 1, 13, 4, 4, 5, 16, 3, 16, 4, 8, 9, 6, 10, 7, 9, 14, 2, 1, 7, 6, 9, 3, 19, 7, 13, 8, 7, 8, 12, 10, 14, 5, 15, 7, 4, 10, 13, 18, 6, 4, 7, 9, 8, 8, 15, 8, 6, 14, 5, 19, 8, 13, 1, 13, 11, 5, 7, 11, 4, 17, 18, 5, 12, 15, 3, 5, 3, 10, 9, 5, 11, 1, 9, 3, 3, 10, 17, 11, 15, 13, 3, 7, 8, 13, 8, 13, 4, 8, 12, 14, 9, 15, 3, 6, 16, 2, 10, 6, 13, 3, 3, 6, 6, 7, 4, 10, 5, 10, 9, 13, 12, 5, 5, 15, 6, 14, 4, 4, 10, 14, 9, 3, 11, 10, 6, 16, 13, 9, 7, 11, 9, 16, 8, 1, 16, 6, 9, 1, 4, 7, 15, 15, 6, 3, 7, 6, 4, 1, 2, 10, 11, 5, 3, 2, 16, 6, 7, 9, 5, 1, 18, 13, 4, 4, 10, 7, 10, 20, 4, 13, 16, 4, 3, 5, 15, 10, 12, 13, 11, 10, 15, 9, 9, 9, 4, 5, 14, 16, 1, 1, 13, 6, 20, 2, 16, 2, 12, 15, 14, 12, 1, 17, 16, 17, 5, 4, 2, 7, 6, 20, 10, 13, 15, 4, 13, 16, 5, 10, 8, 15, 5, 6, 7, 17, 9, 1, 3, 14, 2, 1, 14, 13, 2, 3, 16, 11, 8, 14, 10, 15, 5, 14, 13, 1, 2, 6, 3, 14, 12, 7, 13, 5, 16, 14, 12, 4, 9, 11, 3, 14, 10, 15, 6, 2, 14, 5, 11, 11, 20, 10, 2, 15, 7, 12, 14, 8, 9, 13, 2, 12, 6, 6, 19, 14, 10, 14, 15, 2, 6, 4, 14, 18, 9, 10, 4, 4, 3, 3, 5, 1, 2, 3, 8, 11, 10, 11, 11, 14, 8, 6, 14, 15, 8, 1, 12, 2, 1, 10, 2, 3, 5, 1, 8, 12, 4, 7, 10, 11, 6, 5, 5, 4, 15, 14, 3, 3, 8, 13, 9, 5, 14, 8, 7, 18, 14, 8, 18, 16, 7, 4, 7, 14, 3, 10, 6, 15, 10, 11, 12, 9, 1, 5, 3, 10, 11, 11, 16, 4, 12, 5, 16, 16, 14, 7, 2, 3, 13, 13, 15, 5, 14, 4, 6, 15, 10, 16, 11, 3, 9, 9, 5, 11, 1, 8, 1, 5, 7, 4, 14, 1, 6, 10, 4, 10, 14, 10, 4, 14, 12, 19, 11, 4, 15, 1, 13, 10, 8, 7, 9, 14, 13, 19, 7, 5, 7, 14, 18, 9, 5, 14, 7, 11, 2, 15, 14, 14, 15, 11, 16, 8, 1, 7, 16, 12, 7, 8, 1, 17, 12, 13, 12, 4, 11, 7, 5, 16, 12, 6, 1, 11, 11, 8, 5, 14, 7, 2, 13, 16, 3, 13, 2, 9, 8, 13, 9, 2, 15, 11, 3, 3, 13, 3, 16, 6, 15, 10, 4, 16, 14, 6, 3, 15, 16, 1, 5, 15, 17, 1, 3, 6, 1, 12, 2, 5, 11, 8, 9, 13, 14, 17, 6, 9, 7, 15, 3, 16, 7, 2, 20, 3, 16, 11, 12, 16, 13, 16, 18, 11, 7, 13, 6, 2, 5, 2, 13, 1, 7, 11, 14, 11, 17, 6, 16, 5, 3, 14, 10, 14, 8, 4, 1, 18, 9, 9, 3, 17, 1, 13, 11, 15, 1, 14, 6, 4, 10, 7, 7, 1, 1, 9, 11, 17, 18, 7, 7, 6, 9, 14, 3, 18, 9, 4, 2, 18, 8, 11, 12, 13, 14, 6, 19, 11, 2, 1, 7, 6, 9, 10, 2, 8, 15, 12, 9, 10, 13, 3, 8, 16, 18, 9, 12, 2, 16, 5, 9, 20, 6, 1, 4, 9, 12, 10, 4, 4, 5, 16, 11, 6, 10, 7, 9, 5, 6, 12, 9, 11, 2, 13, 3, 15, 2, 4, 6, 5, 12, 6, 18, 9, 6, 12, 11, 18, 3, 11, 10, 15}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 43, 44, 44, 44, 44, 44, 44, 44, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 49, 49, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 51, 51 }
{14, 14, 10, 13, 20, 20, 15, 14, 12, 17, 11, 16, 16, 12, 13, 18, 11, 13, 12, 12, 19, 13, 14, 14, 16, 14, 20, 11, 19, 10, 17, 17, 15, 17, 15, 17, 18, 17, 15, 17, 12, 10, 14, 19, 19, 10, 13, 15, 19, 13, 17, 18, 19, 10, 13, 11, 10, 14, 15}
{2, 2, 6, 2, 7, 1, 7, 7, 9, 9, 2, 2, 8, 7, 7, 6, 2, 8, 7, 2, 3, 5, 4}
Returns: { }
{1, 16, 14, 2, 1, 5, 16}
{6, 7, 5, 2, 7, 6, 5, 7, 4, 1, 7, 7, 4, 5, 5, 6, 3, 3, 7, 2, 5, 4, 3, 6, 5, 1, 2, 5, 5, 3, 1, 7, 5, 2, 5, 1, 2, 1, 5, 2, 3, 2, 3, 3, 7, 6, 3, 1, 2, 3, 2, 5, 4, 4, 7, 1, 6, 6, 4, 1, 2, 5, 7, 2, 5, 4, 1, 7, 4, 1, 1, 6, 7, 6, 5, 5, 6, 2, 5, 2, 1, 6, 5, 2, 4, 6, 7, 3, 3, 7, 1, 7, 1, 4, 5, 4, 3, 6, 5, 4, 2, 4, 2, 7, 7, 4, 4, 4, 3, 7, 5, 6, 2, 1, 7, 4, 4, 4, 5, 5, 5, 1, 5, 1, 7, 7, 7, 3, 1, 7, 5, 4, 7, 7, 4, 3, 1, 1, 6, 6, 4, 3, 2, 7, 7, 4, 7, 4, 6, 1, 2, 5, 2, 6, 3, 1, 5, 4, 3, 5, 1, 2, 3, 5, 7, 3, 5, 5, 3, 1, 7, 6, 7, 7, 6, 5, 1, 4, 6, 5, 3, 2, 1, 7, 1, 4, 1, 5, 3, 3, 1, 6, 2, 5, 2, 7, 3, 1, 1, 4, 4, 4, 1, 5, 6, 3, 4, 3, 7, 3, 2, 3, 2, 5, 5, 3, 1, 5, 1, 5, 4, 4, 4, 1, 5, 4, 3, 4, 3, 6, 6, 1, 3, 3, 1, 5, 4, 4, 5, 7, 7, 6, 3, 4, 1, 5, 5, 6, 4, 5, 7, 3, 1, 3, 3, 3, 4, 1, 2, 6, 4, 7, 1, 3, 6, 5, 7, 3, 3, 7, 14, 4, 5, 5, 6, 5, 5, 6, 4, 1, 6, 5, 3, 3, 1, 2, 1, 3, 5, 6, 5, 6, 6, 3, 2, 3, 2, 2, 7, 5, 3, 2, 2, 7, 6, 2, 1, 2, 6, 6, 1, 16, 2, 5, 7, 3, 4, 4, 5, 3, 4, 7, 7, 2, 2, 2, 1, 4, 6, 1, 3, 4, 4, 2, 2, 3, 3, 17, 9, 3, 7, 5, 4, 3, 2, 5, 7, 1, 5, 2, 4, 2, 4, 6, 6, 2, 1, 3, 1, 7, 2, 6, 2, 2, 2, 4, 2, 3, 2, 3, 3, 2, 3, 6, 1, 4, 7, 3, 5, 1, 1, 6, 6, 1, 4, 7, 1, 2, 2, 1, 7, 3, 5, 2, 1, 6, 2, 6, 7, 5, 5, 3, 2, 3, 1, 6, 5, 3, 2, 5, 3, 6, 4, 7, 2, 7, 7, 7, 6, 2, 7, 7, 4, 1, 7, 7, 6, 2, 6, 4, 3, 20, 1, 4, 3, 6, 4, 5, 4, 18, 6, 7, 6, 1, 7, 4, 2, 3, 4, 2, 7, 3, 2, 3, 2, 2, 2, 4, 1, 2, 5, 7, 2, 5, 2, 3, 7, 4, 7, 2, 7, 2, 1, 4, 6, 1, 7, 3, 5, 7, 6, 4, 7, 1, 4, 4, 7, 1, 5, 4, 6, 3, 4, 7, 7, 4, 6, 2, 3, 2, 3, 5, 7, 4, 5, 6, 7, 4, 7, 2, 5, 2, 2, 7, 2, 6, 7, 7, 3, 6, 3, 7, 6, 4, 7, 5, 7, 1, 1, 2, 7, 7, 3, 7, 3, 5, 7, 2, 3, 5, 6, 6, 4, 2, 7, 6, 6, 2, 7, 2, 5, 4, 3, 6, 1, 7, 5, 7, 7, 5, 1, 6, 7, 1, 2, 7, 2, 2, 5, 3, 2, 7, 6, 6, 7, 3, 2, 4, 4, 2, 5, 3, 2, 6, 4, 3, 4, 1, 5, 3, 1, 5, 4, 4, 5, 4, 5, 2, 7, 2, 7, 3, 6, 3, 2, 7, 1, 5, 3, 5, 1, 5, 1, 4, 3, 6, 3, 2, 2, 5, 3, 1, 7, 6, 5, 3, 1, 4, 7, 7, 1, 3, 7, 7, 2, 1, 2, 2, 6, 7, 2, 1, 4, 4, 5, 1, 7, 5, 1, 2, 4, 3, 1, 5, 5, 5, 6, 2, 5, 5, 4, 5, 7, 2, 2, 5, 7, 7, 2, 3, 7, 3, 1, 1, 3, 3, 7, 1, 7, 2, 4, 6, 4}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5 }
{18, 19, 19, 19, 18, 17, 20, 19, 20, 17, 19, 18, 18, 19, 18, 18, 20, 18, 17, 20, 17, 17, 18, 19, 18, 18, 20, 20, 18, 19, 18, 20, 19, 18, 19, 18, 17, 18, 18, 19, 18, 20, 20, 18, 19, 17}
{19}
Returns: {45 }
{1, 1}
{1, 1, 1, 3, 8, 1}
Returns: {0, 0, 0, 0, 1 }
{5, 4, 5, 1, 17, 3, 16, 4, 3, 3, 2, 1}
{11, 11, 13, 8, 12, 17, 3, 3, 13, 2, 6, 8, 10}
Returns: {0, 1, 2, 3, 5, 7, 8, 8, 8, 9, 9, 10, 11 }
{1, 14, 2, 1, 1, 8, 1, 1, 1, 12, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2}
{1, 1, 1, 1, 6, 6, 8, 1, 2, 1, 5, 1, 2, 3, 7, 1, 1, 1, 2, 2, 2, 19, 1, 19, 2, 1, 1, 2, 2, 1, 2, 1, 2, 15, 9, 1, 2, 1, 1, 18, 2, 19, 10, 2, 1, 1, 2, 2, 2, 2, 1, 18, 4, 1, 2, 1, 2, 4, 1, 1, 15, 2, 12, 20, 15, 2, 1, 12, 1, 5, 1, 1, 3, 11, 2, 2, 1, 1, 5}
Returns: {0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 4, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 13, 13, 13, 13, 13, 14, 14, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 21, 22, 23, 23, 23, 24, 24, 25, 25, 25, 26, 27, 27, 27, 27, 27 }
{3, 4, 10, 6}
{7, 7, 4, 3, 8, 15, 7, 8, 2, 15, 1, 14, 6, 4, 9, 7, 10, 6, 8, 15, 5, 15, 12, 12, 16, 14, 15, 8, 6, 11, 3, 14, 6, 6, 14, 16, 8, 14, 16, 12, 11, 5, 1, 13, 8, 13, 13, 8, 1, 10, 16, 8, 12, 2, 12, 6, 6, 7, 15, 6, 8, 3, 2, 8, 16, 6, 8, 2, 13, 2, 1, 17, 10, 8, 13, 1, 13, 12, 9, 11, 7, 9, 15, 4, 16, 6, 11, 13, 10, 16, 1, 5, 4, 12, 4, 5, 8, 4, 9, 6, 10, 5, 4, 7, 16, 5, 4, 13, 1, 10, 13, 4, 8, 6, 4, 11, 1, 11, 12, 15, 6, 15, 10, 4, 1, 8, 4, 13, 15, 5, 2, 16, 8, 3, 15, 8, 8, 3, 6, 11, 8, 1, 15, 6, 7, 13, 9, 13, 1, 13, 4, 1, 6, 12, 14, 13, 3, 5, 8, 1, 5, 13, 15, 14, 2, 16, 1, 3, 5, 12, 12, 9, 6, 6, 16, 2, 5, 14, 7, 2, 6, 5, 10, 2, 12, 1, 15, 11, 11, 12, 16, 13, 16, 13, 7, 14, 1, 12, 5, 14, 7, 6, 10, 14, 12, 15, 7, 5, 11, 10, 8, 10, 4, 4, 5, 13, 15, 16, 10, 16, 2, 15, 12, 2, 5, 4, 3, 1, 5, 12, 12, 7, 11, 5, 5, 7, 6, 4, 10, 10, 1, 6, 12, 3, 2, 5, 2, 11, 10, 1, 6, 2, 12, 14, 2, 8, 2, 10, 7, 1, 4, 5, 6, 11, 12, 9, 12, 6, 6, 10, 13, 11, 10, 5, 1, 5, 15, 9, 12, 6, 11, 7, 16, 11, 4, 10, 6, 7, 2, 2, 11, 6, 12, 11, 1, 15, 3, 10, 15, 10, 11, 13, 13, 9, 13, 3, 4, 3, 15, 7, 17, 4, 10, 1, 14, 5, 4, 13, 9, 10, 12, 8, 14, 3, 10, 16, 14, 3, 6, 4, 8, 13, 5, 11, 2, 11, 14, 4, 1, 10, 16, 5, 16, 5, 6, 15, 16, 16, 16, 10, 5, 11, 7, 8, 2, 12, 14, 1, 7, 15, 14, 11, 9, 14, 7, 3, 3, 6, 3, 6, 13, 4, 1, 5, 3, 13, 6, 12, 13, 13, 10, 12, 9, 6, 2, 8, 12, 3, 11, 4, 16, 6, 9, 11, 12, 7, 15, 10, 6, 7, 14, 3, 5, 8, 7, 7, 12, 1, 8, 2, 1, 7, 6, 13, 10, 15, 7, 12, 1, 7, 7, 10, 4, 13, 6, 9, 11, 3, 8, 15, 9, 10, 8, 14, 13, 11, 13, 10, 4, 1, 11, 15, 16, 10, 7, 1, 12, 5, 7, 14, 7, 8, 14, 9, 1, 1, 2, 8, 11, 6, 10, 13, 4, 15, 10, 16, 13, 14, 7, 11, 12, 16, 7, 12, 7, 9, 6, 7, 13, 7, 16, 12, 8, 1, 7, 12, 1, 5, 13, 15, 15, 4, 10, 11, 12, 4, 2, 5, 15, 11, 7, 16, 15, 9, 15, 12, 10, 10, 15, 11, 1, 10, 11, 14, 14, 12, 13, 1, 10, 5, 14, 6, 2, 11, 14, 6, 2, 14, 16, 12, 9, 3, 10, 14, 10, 11, 6, 2, 13, 15, 12, 6, 5, 2, 2, 14, 10, 9, 9, 12, 9, 11, 5, 12, 14, 7, 14, 11, 2, 16, 6, 13, 10, 6, 13, 3, 12, 9, 4, 14, 12, 3, 4, 15, 14, 3, 4, 10, 15, 2, 1, 2, 8, 14, 15, 6, 6, 8, 15, 14, 2, 11, 8, 6, 11, 1, 6, 13, 3, 9, 2, 1, 6, 7, 1, 4, 5, 3, 14, 9, 16, 11, 14, 6, 15, 11, 3, 6, 1, 16, 12, 6, 7, 10, 5, 11, 8, 6, 8, 13, 1, 4, 3, 2, 5, 4, 2, 16, 16, 13, 3, 13, 13, 11, 3, 8, 15, 8, 12, 9, 2, 2, 1, 12, 2, 5, 7, 13, 1, 8, 1, 13, 2, 12, 2, 11, 4, 5, 15, 9, 2, 6, 14, 7, 15, 12, 14, 6, 14, 9, 1, 13, 14, 5, 9, 10, 5, 16, 7, 7, 3, 15, 3, 4, 5, 5, 15, 13, 1, 3, 12, 2, 10, 1, 15, 12, 15, 2, 2, 1, 4, 5, 13, 12, 4, 10, 13, 1, 16, 10, 11, 15, 16, 3, 14, 3, 5, 10, 11, 20, 10, 8, 8, 14, 10, 15, 16, 10, 14, 2, 2, 15, 10, 7, 17, 4, 1, 13, 16, 15, 7, 4, 9, 16, 13, 10, 7, 10, 1, 10, 14, 7, 8, 6, 15, 7, 13, 14, 13, 8, 8, 10, 14, 11, 1, 16, 6, 12, 15, 10, 10, 3, 12, 4, 6, 16, 6, 11, 9, 9, 11, 8, 12, 12, 15, 3, 14, 3, 14, 8, 14, 3, 3, 16, 14, 7, 4, 16, 14, 15, 14, 7, 2, 15, 12, 1, 2, 6, 11, 4, 10, 12, 2, 3, 6, 5, 8, 11, 14, 14, 2, 10, 6, 10, 4, 3, 5, 7, 9, 12, 14, 13, 12, 5, 4, 8, 15, 12, 8, 7, 10, 11, 6, 14, 13, 6, 4, 12, 13, 13, 14, 8, 11, 2, 12, 12, 3, 12, 8, 8, 8, 4, 5, 8, 12, 11, 6, 14, 13, 1, 2, 4, 1, 9, 1, 2, 7, 15, 4, 7, 1, 11, 1, 7, 1, 3, 16, 11, 3, 8, 6, 15, 8, 14, 13, 15, 2, 16, 15, 7, 4, 3, 4, 7, 16, 15, 4, 7, 9, 16, 14, 7, 7, 13, 13, 11, 2, 2, 13, 13, 3, 10, 16, 13, 2, 6, 8, 4, 11, 4, 14, 6, 12, 7, 2, 14, 9, 3, 7, 2, 9, 10, 11, 3}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 }
{2, 2, 18, 19, 19, 4, 20}
{6, 8, 13, 13, 18, 13, 6, 3, 2, 5, 1, 19, 10, 1, 10, 20, 8}
Returns: {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5 }
{20, 20, 19, 19, 19, 19, 19, 11, 1, 19, 18, 20, 20, 20, 19, 19, 19, 19, 19, 2, 20, 19, 8, 20, 19, 11, 19, 17, 19, 19, 11, 9, 19, 19, 7, 17, 19, 13, 20, 15}
{8, 17, 8, 5, 14, 15, 6, 2, 11, 17, 5, 12, 15, 8, 15, 15, 16, 13, 13, 12, 6, 17, 4, 17, 17, 5, 9, 4, 12, 6, 16, 20, 13, 14, 17, 4, 7, 17, 10, 10, 2, 5, 4, 16, 19, 16, 13, 4, 9, 14, 6, 2, 11, 9, 18, 14, 17, 2, 15, 6, 20, 3, 15, 13, 4, 18, 7, 7, 15, 8, 2, 13, 5, 19, 5, 4, 5, 6, 12, 4, 16, 2, 10, 7, 18, 5, 11, 9, 13, 16, 2, 18, 14, 9, 3, 13, 9, 8, 18, 4, 17, 15, 16, 14, 11, 15, 5, 4, 13, 15, 18, 1, 16, 18, 1, 5, 2, 12, 13, 3, 17, 17, 3, 5, 18, 12, 7, 5, 10, 13, 2, 15, 11, 11, 8, 12, 11, 8, 11, 13, 11, 5, 11, 9, 12, 10, 17, 10, 4, 18, 8, 14, 3, 13, 9, 9, 14, 2, 6, 12, 3, 18, 8, 5, 9, 13, 18, 3, 5, 4, 5, 18, 3, 7, 20, 7, 18, 15, 5, 17, 18, 18, 16, 1, 6, 1, 5, 18, 9, 14, 18, 6, 2, 6, 1, 15, 16, 16, 20, 12, 8, 13, 6, 18, 8, 20, 13, 4, 11, 13, 11, 3, 8, 3, 18, 7, 15, 2, 19, 10, 6, 16, 13, 13, 7, 10, 18, 6, 12, 14, 7, 20, 14, 5, 2, 13, 2, 2, 11, 8, 10, 1, 19, 1, 1, 18, 12, 2, 17, 11, 4, 7, 14, 4, 17, 2, 6, 18, 7, 1, 9, 5, 15, 16, 11, 12, 18, 12, 12, 15, 17, 1, 14, 9, 11, 5, 15, 4, 4, 14, 18, 18, 16, 20, 4, 4, 6, 8, 9, 5, 1, 11, 16, 8, 14, 14, 8, 17, 6, 5, 7, 13, 14, 4, 16, 10, 3, 7, 8, 4, 6, 5, 5, 2, 3, 7, 7, 17, 13, 15, 15, 16, 7, 9, 6, 2, 9, 15, 20, 17, 8, 18, 2, 16, 12, 5, 16, 12, 7, 6, 11, 16, 9, 18, 9, 8, 18, 13, 11, 1, 14, 17, 1, 14, 3, 5, 6, 6, 9, 13, 9, 5, 16, 14, 8, 9, 13, 17, 14, 12, 13, 2, 13, 3, 15, 16, 18, 13, 15, 3, 14, 10, 2, 9, 4, 2, 2, 3, 15, 9, 13, 18, 9, 9, 3, 12, 5, 13, 2, 12, 17, 1, 15, 13, 14, 14, 20, 4, 7, 9, 12, 14, 17, 10, 9, 17, 2, 13, 1, 5, 2, 2, 14, 15, 10, 14, 18, 14, 5, 4, 7, 6, 18, 14, 14, 16, 9, 1, 5}
Returns: {7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 27, 27, 27, 27, 27, 27, 27, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39 }
{18, 13, 13, 8, 19, 18, 13, 14, 20, 13, 11, 17, 9, 9, 19, 16, 7, 15, 12, 16, 20, 11, 14, 17, 19, 19, 20, 9, 10, 13, 20, 16, 20, 16, 11, 12, 8, 4, 14, 13, 17, 6, 7, 16, 13, 4, 10, 9, 18, 20, 10, 20, 1, 8, 7, 13, 18, 13, 12, 20, 9, 14, 7, 8, 17, 15, 17}
{12, 19, 12, 3, 2, 6, 2, 2, 6, 1, 18, 5, 6, 6, 2, 1, 6, 4, 5}
Returns: {37, 41, 45, 52, 52, 52, 52, 52, 52, 52, 52 }
{5, 11, 6, 19, 17, 4, 2, 8, 20, 1, 15, 3, 7, 12, 17}
{7, 4, 12, 17, 10, 2, 15, 4, 5, 5, 6, 12, 11, 17, 3, 20, 17, 13, 14, 16, 15, 4, 12, 13, 20, 11, 12, 8, 6, 6, 14, 12, 13, 1, 10, 9, 14, 3, 7, 1, 2, 7, 13, 6, 9, 7, 15, 6, 18, 13, 2, 14, 15, 17, 10, 10, 6, 4, 1, 13, 18, 10, 9, 14, 12, 9, 15, 8, 17, 17, 7, 6, 1, 10, 1, 15, 19, 12, 13, 1, 5, 5, 16, 7, 16, 5, 11, 16, 6, 4, 6, 10}
Returns: {0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13 }
{11, 16, 4, 19, 19, 11, 15, 8, 4, 13, 4, 13}
{9, 1, 5, 3, 3, 6, 6, 17, 2, 5, 3, 7, 7, 2, 1, 6, 8, 2, 3, 9, 1, 4, 5, 5, 8, 7, 7, 2, 10, 8, 9, 8, 1, 1, 7, 7, 7, 6, 10, 4, 1, 8, 9, 5, 8, 2, 5, 9, 7, 3, 7, 1, 7, 8, 5, 8, 3, 4, 5, 16, 9, 4, 5, 3, 9, 6, 10, 10, 13, 9, 9, 1, 9, 10, 2, 3, 2, 5, 6, 4, 3, 14, 2, 6, 8, 9, 6, 15, 10, 6, 4, 8, 4, 7, 2, 3, 1, 3, 3, 9, 1, 3, 7, 6, 8, 2, 4, 18, 5, 10, 10, 1, 6, 9, 8, 3, 2, 9, 3, 8, 6, 8, 9, 7, 10, 6, 10, 2, 5}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 }
{9, 7}
{20, 20, 13, 1, 20, 6, 20, 8}
Returns: {0, 1 }
{1, 6, 18, 18, 13, 9, 9, 12, 8, 12, 18, 4, 18}
{8, 2, 2, 1, 20, 2, 3, 16, 2, 2, 1}
Returns: {0, 1, 1, 1, 1, 11, 11, 11 }
{4}
{1, 9, 13, 10, 7, 1, 10, 8, 6, 12, 5, 4, 2, 13, 5, 5, 12, 13, 14, 11, 18, 3, 10, 19, 2, 5, 11, 13, 4, 1, 13, 1, 1, 5, 14, 11, 10, 1, 14, 13, 7, 6, 10, 7, 10, 13, 9, 2, 7, 13, 12, 7, 10, 5}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{19}
{1}
Returns: { }
{1, 5, 7, 2, 2, 6, 17}
{2, 1, 3, 2, 5, 3, 5, 7, 3, 2, 5, 5, 3, 7, 7, 19, 4, 1, 4, 1, 5, 4, 2, 5, 2, 5, 6, 4, 5, 11, 1, 7, 2, 9, 6, 4, 4, 4, 1, 6, 11, 7, 15, 7, 4, 18, 5, 3, 1, 17, 20, 2, 4, 5, 2, 6, 5, 1, 4, 4, 7, 3, 7, 5, 3, 5, 2, 4, 7, 7, 7, 5, 4, 6, 4, 13, 7, 7, 2, 5, 4, 2, 4}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 }
{8, 16, 1, 6, 16, 15, 13, 12, 6, 12, 7}
{5, 2, 3, 1, 7, 7, 2, 3, 7, 8, 7, 8, 8, 6, 5, 7, 6, 8, 1, 8, 8, 5, 2, 5, 5, 5, 4, 7, 5, 6, 2, 5, 3, 5, 5, 8, 7, 6, 1, 10, 5, 1, 1, 7, 4, 3, 8, 6, 5, 2, 4, 7, 6, 2, 8, 3, 7, 7, 5, 2, 8, 6, 2, 7, 4, 2, 2, 7, 5, 5, 3, 6, 3, 3, 4, 3, 7, 8, 6, 6, 6, 5, 1, 4, 7, 5, 7, 1, 7, 3, 1, 6, 1, 3, 3, 4, 7, 3, 4, 2, 7, 7, 3, 4, 4, 4, 5, 3, 2, 3, 5, 3, 6, 3, 6, 6, 1, 4, 6, 5, 6, 7, 4, 8, 3, 5, 7, 7, 6, 6, 1, 5, 2, 6, 4, 8, 7, 6, 6, 7, 8, 1, 8, 3, 3, 5, 8, 1, 4, 2, 7, 6, 5, 6, 8, 7, 8, 2, 3, 3, 1, 8, 7, 4, 3, 16, 2, 4, 4, 2, 1, 6, 2, 7, 12, 4, 6, 4, 3, 7, 1, 19, 1, 7, 5, 5, 6, 1, 5, 6, 1, 4, 6, 3, 7, 8, 5, 3, 7, 1, 7, 2, 2, 4, 4, 8, 8, 2, 2, 2, 4, 3, 10, 3, 2, 5, 4, 6, 3, 6, 7, 3, 8, 1, 4, 5, 7, 2, 1, 4, 5, 3}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 }
{9, 8, 7, 9, 13, 19, 4}
{8}
Returns: {6 }
{13, 11, 11}
{4, 3, 7, 8, 1, 3, 2, 1, 1, 3, 1, 6, 8, 6, 3, 7, 7, 2, 4, 2, 8, 3, 4, 8, 7, 7, 1, 8, 6, 3, 6, 4, 8, 6, 5, 1, 1, 7, 1, 1}
Returns: { }
{2, 18, 17, 19, 18, 19, 16, 20, 18, 17, 13, 19, 20, 18, 19, 16, 16, 19, 17, 16, 17, 20, 19, 8, 20, 20, 20, 17, 19, 16, 17, 16, 16, 16, 16, 20, 18, 16, 20, 20}
{8, 17, 5, 4, 6, 12, 12, 2, 2, 3, 7, 12, 3, 13, 11, 3, 6, 7, 15, 15, 17, 9, 9, 9, 10, 5, 5, 8, 20, 4, 15}
Returns: {0, 0, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 23, 23, 23, 23, 23, 23, 23, 23 }
{7, 9, 1, 2, 3, 9, 1, 8, 3, 9, 4, 4, 9, 7, 1, 3, 1, 5, 5, 3, 8, 2, 2, 8, 6, 4, 8}
{6, 9, 5, 5, 6, 20, 7, 1, 9, 8, 6, 6, 4, 8, 9, 10, 1, 7, 2, 5, 12, 9, 6, 1, 9, 2, 9, 8, 7, 5, 8, 13, 8, 4, 6, 11, 5, 1, 8, 12, 3, 1, 19, 1, 8, 1, 8, 7, 4, 9, 7, 2, 11, 2, 4, 2, 2, 2, 3, 10, 7, 8, 5, 1, 9, 6, 16, 3, 20, 17, 3, 3, 4, 6, 7, 14, 1, 13, 3, 7, 15, 16, 2, 6, 18, 4, 2, 4, 10, 6, 5, 7, 7, 11, 7, 7, 17, 6, 5, 8, 8, 16, 9, 7, 2, 9, 2, 13, 4, 3, 9, 2, 7, 7, 6, 4, 6, 2, 8, 4, 2, 5, 6, 5, 17, 3, 8, 1, 1, 4, 3, 9, 2, 5, 5, 1, 5, 1, 6, 12, 7, 4, 20, 18, 9, 19, 7}
Returns: {0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14, 14, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 25, 26, 26 }
{15, 14, 15, 11, 13, 15, 16, 15, 15, 17, 6, 13, 14, 15, 15, 13, 14, 16, 13, 13, 17, 15, 12, 11, 17, 17, 18, 12, 14, 17, 14, 20, 17, 15, 19, 20, 18, 15, 1, 20, 15, 12, 13, 18, 12, 15, 18, 19, 18, 13, 12, 11, 18, 19, 16, 14, 14, 15, 14, 14, 17, 18, 1, 16, 19, 18, 17, 15, 13, 20, 20, 20, 18, 12, 12, 18, 15, 19, 20, 12, 18, 20, 16, 15, 14, 13, 12, 19, 14, 12, 18}
{2, 2, 11, 1, 3, 4, 4, 6, 1, 10, 7, 6, 8, 11, 9, 10, 1, 10, 11, 7, 3, 3, 10, 3, 10, 10, 4, 8, 1, 8, 2, 11, 9, 1, 10, 5, 8, 5, 6, 4, 2, 1, 1, 7, 8, 5, 9, 4, 1, 2, 11, 5, 7, 4, 5, 7, 9, 8, 4, 8, 6, 5, 5, 6, 1, 7, 8, 2, 7, 9, 4, 11, 8, 8, 2, 11, 7, 5, 3, 5, 1, 7, 11, 10, 11, 9, 11, 9, 7, 7, 6, 2, 5, 10, 5, 7, 5, 5, 4, 10, 13, 9, 1, 4, 1, 8, 8, 11, 9, 7, 7, 9, 10, 8, 9, 10, 5, 7, 8, 1, 9, 4, 2, 1, 8, 2, 5, 7, 10, 11, 10, 6, 10, 4, 5, 9, 8, 5, 5, 9, 2, 11, 7, 3, 1, 8, 6, 6, 9, 4, 11, 4, 7, 3, 8, 2, 2, 1, 10, 2, 1, 1, 11, 10, 2, 1, 10, 9, 5, 5, 8, 3, 10, 3, 6, 2, 11, 1, 8, 8, 10, 7, 9, 7, 4, 3, 2, 5, 11, 6, 4, 11, 9, 11, 6, 8, 2, 6, 4, 4, 1, 9, 9, 5, 5, 6, 3, 4, 10, 3, 11, 2, 11, 7, 2, 8, 3, 11, 9, 10, 10, 6, 3, 4, 2, 5, 8, 7, 2, 6, 5, 9, 11, 3, 8, 10, 5, 4, 1, 9, 11, 11, 2, 9, 11, 10, 4, 9, 7, 3, 11, 2, 6, 1, 11, 11, 7, 11, 2, 9, 1, 11, 7, 6, 9, 6, 6, 3, 8, 6, 3, 2, 8, 3, 7, 2, 8, 2, 5, 7, 9, 11, 1, 10, 4, 4, 5, 8, 5, 11, 8, 5, 1, 11, 3, 10, 1, 11, 7, 11, 9, 6, 5, 1, 6, 3, 8, 2, 6, 4, 7, 9, 6, 9, 10, 7, 3, 8, 10, 1, 4, 1, 8, 7, 8, 6, 7, 8, 2, 2, 2, 2, 6, 8, 4, 1, 9, 8, 9, 3, 2, 7, 5, 15, 9, 7, 4, 7, 11, 10, 2, 1, 7, 3, 2, 1, 2, 10, 5, 1, 6, 1, 6, 10, 4, 4, 4, 6, 7, 7, 6, 11, 1, 10, 10, 8, 10, 3, 5, 9, 5, 2, 6, 9, 8, 3, 1, 16, 11, 6, 8, 2, 9, 9, 1, 6, 6, 8, 4, 8, 3, 6, 9, 2, 8, 7, 5, 1, 3, 8, 3, 5, 5, 2, 8, 8, 7, 11, 9, 6, 2, 4, 7, 11, 6, 11, 8, 5, 6, 9, 9, 10, 3, 17, 8, 4, 4, 3, 2, 1, 5, 9, 3, 2, 11, 8, 5, 2, 7, 7, 1, 4, 8, 11, 6, 11, 2, 1, 6, 5, 11, 4, 1, 4, 3, 16, 11, 1, 4, 5, 7, 6, 5, 8, 9, 5, 4, 1, 7, 11, 6, 2, 6, 11, 6, 2, 2, 6, 1, 3, 2, 6, 2, 3, 5, 8, 4, 8, 9, 3, 2, 9, 9, 9, 10, 7, 4, 8, 7, 8, 3, 6, 10, 7, 6, 3, 4, 2, 9, 6, 8, 2, 11, 9, 2, 7, 7, 11, 5, 6, 3, 7, 2, 9, 3, 8, 6, 7, 5, 8, 4, 8, 3, 5, 8, 8, 10, 2, 5, 7, 1, 5, 1, 3, 11, 3, 9, 11, 11, 1, 5, 11, 10, 6, 9, 6, 6, 5, 5, 3, 11, 8, 9, 10, 9, 8, 6, 9, 1, 6, 3, 2, 6, 7, 4, 9, 1, 1, 5, 9, 13, 10, 8, 11, 5, 2, 5, 9, 4, 9, 9, 10, 11, 2, 1, 11, 11, 5, 5, 4, 4, 10, 9, 1, 7, 9, 11, 5, 1, 11, 7, 6, 1, 4, 3, 5, 1, 8, 7, 2, 8, 10, 7, 7, 3, 8, 11, 9, 1, 11, 5, 6, 11, 10, 2, 11, 9, 2, 9, 10, 9, 10, 11, 3, 3, 9, 9, 1, 8, 5, 8, 6, 4, 11, 10, 1, 9, 8, 9, 7, 4, 9, 7, 1, 6, 9, 7, 9, 7, 6, 7, 6, 5, 11, 2, 9, 7, 6, 8, 8, 9, 1, 11, 5, 8, 3, 1, 6, 5, 2, 5, 1, 8, 11, 4, 3, 7, 8, 8, 11, 2, 11, 5, 10, 3, 8, 11, 11, 5, 2, 5, 1, 10, 5, 2, 7, 8, 7, 5, 7, 8, 9, 9, 4, 6, 8, 4, 10, 8, 4, 11, 11, 3, 1, 3, 7, 8, 5, 2, 8, 7, 11, 5, 8, 5, 9, 5, 11, 3, 8, 10, 4, 8, 3, 7, 4, 2, 10, 11, 8, 2, 8, 3, 3, 1, 8, 2, 6, 4, 3, 2, 11, 5, 6, 5, 9, 5, 1, 1, 9, 7, 6, 6, 4, 10, 1, 5, 10, 4, 5, 5, 2, 11, 9, 2, 5, 3, 6, 6, 10, 5, 7, 9, 4, 1, 11, 4, 8, 1, 8, 11, 5, 2, 3, 6, 4, 6, 8, 8, 2, 7, 5, 7, 6, 9, 8, 16, 4, 10, 6, 11, 4, 4, 3, 4, 2, 6, 3, 3, 4, 3, 2, 2, 7, 3, 9, 10, 6, 10, 5, 5, 5, 7, 10, 6, 11, 10, 4, 1, 9, 7, 2, 7, 3, 9, 5, 9, 5, 7, 10, 9, 1, 1, 11, 10, 5, 1, 5, 2, 4, 8, 9, 4, 9, 9, 5, 9, 1, 3, 10, 3, 10, 1, 2, 7, 7, 4, 7, 4, 5, 3, 11, 3, 9, 9, 9, 6, 7, 1, 9, 7, 11, 8, 2, 2, 6, 2, 2, 11, 10, 6, 9, 5, 10, 4, 6, 5, 5, 8, 7, 10, 8, 9, 8, 4, 4, 2, 5, 4, 3, 11, 7, 2, 10, 7, 4, 5, 10, 6, 1, 4, 2, 9, 11, 7, 1, 2, 1, 2, 8, 7, 10, 6, 4, 1, 9, 10, 7, 5, 4, 10, 3, 7, 6, 1, 3, 2, 10, 6, 3}
Returns: {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89 }
{19, 11, 16, 14, 16, 18, 12, 12, 19, 7, 18, 20, 16, 13, 19, 18, 18, 14, 12, 13, 4, 16, 15, 17, 12, 16, 12, 19, 15, 20, 15, 16, 12, 14, 12, 18, 12, 18, 17, 13, 19, 19, 17, 18, 18, 17, 19, 10, 20, 9, 12, 9, 14, 15, 15, 19, 1, 19, 17, 12, 18, 6, 20, 15, 12, 19, 12, 20, 18, 12, 16, 12, 14, 13, 14, 20, 5, 12, 12, 16, 15, 15, 17, 19, 16, 18, 15, 13, 4, 18, 17, 20, 18, 17, 20}
{1, 9, 10, 7, 4, 10, 5, 4, 2, 1, 8, 11, 5, 2, 5, 4, 2, 10, 4, 4, 10, 6, 7, 1, 7, 1, 4, 5, 9, 4, 9, 7, 4, 6, 7, 2, 2, 9, 10, 7, 8, 9, 5, 7, 8, 6, 8, 7, 9, 7, 3, 4, 8, 6, 6, 10, 10, 1, 8, 2, 20, 2, 10, 10, 7, 10, 6, 2, 4, 4, 4, 8, 8, 5, 6, 4, 3, 11, 1, 9, 6, 11, 6, 11, 10, 6, 5, 11, 9, 7, 1, 1, 1, 9, 1, 3, 7, 5, 8, 6, 5, 3, 10, 6, 10, 5, 2, 1, 3, 5, 6, 7, 1, 6, 5, 6, 10, 7, 7, 3, 7, 9, 10, 1, 3, 7, 1, 8, 9, 8, 5, 10, 9, 1, 4, 3, 3, 10, 3, 10, 1, 9, 1, 1, 2, 1, 1, 3, 10, 8, 3, 5, 11, 7, 5, 10, 1, 9, 4, 4, 9, 10, 3, 3, 10, 5, 1, 8, 1, 11, 6, 7, 6, 11, 6, 10, 8, 4, 7, 9, 11, 8, 11, 11, 4, 9, 4, 2, 5, 10, 11, 6, 2, 7, 6, 7, 3, 2, 6, 6, 8, 3, 5, 2, 7, 10, 3, 1, 9, 10, 6, 7, 1, 3, 2, 7, 1, 4, 10, 11, 6, 9, 3, 10, 6, 10, 5, 11, 3, 4, 2, 7, 3, 10, 9, 10, 5, 8, 5, 8, 3, 5, 9, 1, 9, 6, 3, 7, 2, 7, 3, 10, 1, 1, 3, 10, 10, 4, 1, 4, 6, 11, 3, 3, 6, 3, 1, 9, 11, 2, 7, 2, 8, 7, 5, 9, 8, 4, 9, 8, 9, 9, 11, 10, 2, 4, 10, 3, 1, 8, 7, 8, 11, 3, 1, 1, 7, 2, 14, 10, 4, 6, 1, 7, 5, 11, 7, 8, 5, 5, 4, 3, 18, 1, 6, 8, 1, 5, 6, 4, 7, 6, 2, 10, 8, 4, 1, 3, 9, 7, 7, 6, 6, 10, 9, 9, 11, 7, 7, 8, 3, 4, 9, 11, 2, 3, 4, 6, 4, 7, 3, 9, 9, 2, 6, 5, 5, 2, 9, 3, 4, 3, 9, 11, 17, 2, 5, 11, 5, 3, 6, 4, 2, 4, 3, 11, 4, 10, 10, 11, 10, 5, 11, 5, 1, 1, 6, 1, 5, 7, 3, 11, 4, 2, 7, 6, 10, 6, 4, 5, 5, 10, 8, 3, 5, 8, 6, 11, 5, 9, 2, 2, 9, 5, 4, 3, 5, 7, 1, 10, 7, 12, 7, 1, 2, 1, 10, 1, 6, 7, 10, 3, 6, 9, 4, 5, 6, 5, 10, 5, 4, 8, 3, 3, 4, 7, 2, 1, 2, 8, 2, 8, 7, 7, 10, 10, 10, 6, 4, 9, 3, 2, 2, 4, 11, 5, 2, 4, 8, 4, 4, 9, 3, 11, 10, 13, 8, 3, 2, 8, 2, 9, 2, 8, 4, 3, 4, 4, 5, 9, 6, 9, 2, 6, 4, 8, 3, 1, 3, 8, 9, 1, 6, 5, 4, 7, 11, 7, 3, 8, 8, 6, 11, 5, 3, 10, 2, 9, 10, 7, 2, 4, 6, 3, 8, 8, 2, 7, 9, 10, 8, 4, 3, 4, 2, 1, 4, 9, 2, 7, 7, 6, 6, 9, 11, 4, 2, 10, 8, 3, 1, 3, 10, 10, 4, 3, 8, 3, 19, 8, 8, 8, 1, 3, 8, 11, 11, 6, 8, 9, 8, 5, 3, 9, 10, 10, 5, 2, 8, 3, 5, 3, 3, 4, 2, 4, 12, 10, 6, 3, 1, 1, 3, 1, 1, 8, 10, 10, 5, 8, 5, 5, 9, 11, 8, 10, 5, 11, 3, 6, 9, 17, 3, 9, 6, 8, 5, 11, 5, 3, 2, 11, 1, 6, 10, 7, 3, 3, 4, 11, 7, 9, 5, 4, 3, 10, 10, 7, 11, 10, 2, 3, 1, 5, 10, 11, 5, 7, 5, 2, 7, 1, 11, 5, 10, 6, 11, 6, 7, 4, 11, 7, 3, 2, 3, 17, 4, 11, 6, 10, 2, 7, 4, 11, 4, 6, 4, 4, 8, 9, 10, 1, 10, 4, 10, 8, 3, 9, 4, 3, 1, 1, 11, 1, 11, 4, 2, 2, 8, 7, 4, 1, 2, 11, 5, 11, 9, 3, 9, 1, 6, 3, 2, 1, 8, 11, 7, 7, 4, 1, 1, 6, 9, 9, 6, 2, 11, 9, 8, 1, 8, 10, 4, 6, 15, 11, 11, 1, 10, 5, 11, 6, 3, 2, 8, 1, 11, 7, 10, 5, 6, 6, 8, 4, 8, 10, 9, 1, 1, 2, 7, 1, 10, 6, 1, 8, 4, 6, 2, 6, 2, 9, 3, 7, 6, 8, 9, 5, 7, 6, 3, 4, 5, 5, 2, 1, 1, 7, 8, 8, 9, 10, 6, 8, 8, 6, 2, 6, 1, 7, 8, 4, 3, 6, 1, 2, 5, 4, 5, 2, 2, 2, 11, 7, 8, 7, 6, 2, 9, 6, 8, 9, 9, 7, 7, 7, 9, 6, 4, 8, 11, 6, 5, 11, 3, 4, 10, 2, 5, 7, 7, 9, 11, 10, 8, 11, 1, 3, 4, 8, 11, 7, 1, 6, 11, 9, 4, 5, 1, 11, 7, 1, 7, 8, 11, 6, 7, 3, 15, 8, 2, 6, 10, 8, 1, 4, 6, 11, 7, 10, 7, 5, 11, 11, 8, 6, 5, 3, 2, 6, 3, 6, 9, 1, 3, 11, 3, 9, 9, 1, 7, 9, 1, 2, 10, 5, 7, 4, 9, 7, 3, 11, 10, 9, 3, 10, 3, 1, 9, 7, 8, 1, 2, 9, 5, 9, 9, 6, 1, 6, 5, 7, 5, 11, 4, 2, 3, 7, 10, 8, 10, 4, 2, 3, 2, 11, 1, 10, 1, 9, 4, 3, 10, 9, 7, 8, 7, 11, 8, 11, 7, 9, 1, 7, 3, 6, 17, 2, 2, 9, 5, 3, 7, 4, 1, 10, 7, 11, 11, 6, 1, 3, 6, 5, 7, 9, 10, 1, 11, 9}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88 }
{20, 2, 20, 20, 14, 8, 20, 5, 18, 4, 19, 19, 7, 10, 3, 13, 16, 13, 7, 6, 5, 2, 8, 19, 3, 20, 10, 8, 20, 9, 6, 19, 20, 19, 15, 20, 17, 19, 8, 3, 19, 20, 16, 14, 16, 16, 12, 8, 16, 20, 11, 18, 17, 13, 10, 15, 7, 8, 19, 19, 18, 20, 11, 6, 18, 3, 12, 10, 18, 7, 20, 20, 6, 9, 18, 19, 11, 8, 13, 11, 14, 17, 3, 19, 12, 5, 15, 19, 11, 4, 2, 19, 12, 11, 20, 20, 19, 16, 14, 18}
{7, 1, 13, 8, 17, 3, 6, 7, 2, 7, 13, 16, 9, 7, 9, 14, 13, 11, 5, 15, 8, 11, 10, 9, 11, 3, 10, 9, 4, 2, 1, 14, 5, 15, 5, 11, 19, 14, 9, 2, 6, 18, 2, 1, 11, 9, 15, 8, 3, 4, 11, 15, 9, 18, 17, 1, 3, 14, 7, 18, 5, 6, 10, 7, 15, 10, 4, 6, 11, 9, 15, 9, 10, 12, 20, 15, 6, 5, 6, 13, 2, 3, 14, 8, 1, 20, 4, 1, 14, 7, 17, 1, 15, 17, 15, 17, 3, 10, 17, 3, 17, 2, 5, 2, 10, 10, 7, 11, 8, 20, 8, 12, 13, 12, 3, 8, 14, 5, 10, 3, 5, 9, 10, 3, 10, 10, 10, 15, 4, 2, 13, 17, 5, 13, 4, 4, 12, 10, 5, 4, 9, 11, 1, 15, 7, 9, 3, 19, 9, 15, 12, 11, 5, 5, 4, 11, 13, 18, 10, 8, 5, 1, 2, 1, 9, 13, 17, 5, 11, 17, 11, 1, 12, 1, 3, 3, 13, 13, 19, 16, 10, 2, 8, 13, 15, 3, 19, 9, 16, 2, 1, 8, 10, 12, 1, 17, 13, 8, 16, 20, 10, 17, 3, 11, 16, 16, 10, 10, 18, 4, 2, 17, 2, 9, 6, 8, 6, 16, 10, 16, 6, 11, 17, 1, 3, 6, 7, 6, 12, 10, 2, 7, 5, 13, 12, 4, 11, 12, 13, 4, 14, 6, 12, 11, 13, 1, 1, 2, 13, 4, 3, 16, 12, 13, 10, 6, 13, 11, 6, 4, 15, 10, 1, 6, 1, 6, 3, 8, 9, 16, 16, 19, 15, 5, 7, 8, 7, 18, 1, 8, 1, 18, 6, 2, 18, 10, 3, 10, 1, 16, 8, 4, 14, 5, 17, 15, 16, 13, 12, 3, 4, 12, 13, 3, 14, 2, 12, 8, 16, 17, 6, 9, 1, 7, 12, 6, 7, 1, 16, 4, 14, 1, 1, 7, 10, 9, 19, 7, 19, 20, 17, 8, 3, 2, 18, 4, 6, 10, 9, 10, 11, 8, 19, 9, 1, 9, 19, 8, 20, 7, 8, 2, 6, 5, 16, 9, 17, 15, 16, 4, 12, 11, 15, 2, 17, 16, 16, 4, 10, 11, 6, 16, 3, 2, 18, 7, 5, 17, 7, 10, 2, 5, 10, 12, 10, 5, 6, 6, 11, 3, 7, 4, 7, 4, 8, 10, 5, 2, 2, 3, 20, 11, 11, 5, 5, 17, 4, 15, 9, 15, 9, 17, 9, 16, 8, 14, 16, 15, 9, 1, 12, 9, 11, 8, 12, 1, 13, 8, 15, 11, 16, 16, 6, 8, 2, 7, 11, 4, 6, 10, 2, 1, 17, 8, 7, 5, 8, 1, 17, 2, 14, 2, 10, 1, 6, 4, 12, 16, 17, 15, 14, 4, 1, 16, 1, 17, 4, 18, 20, 17, 10, 2, 19, 9, 9, 11, 14, 9, 10, 18, 8, 3, 9, 14, 12, 15, 9, 15, 13, 15, 11, 11, 13, 7, 5, 4, 12, 16, 8, 18, 12, 8, 9, 10, 1, 17, 5, 13, 20, 6, 10, 4, 15, 4, 2, 16, 3, 3, 7, 17, 6, 7, 14, 6, 13, 8, 11, 17, 4, 13, 9, 17, 2, 2, 13, 19, 12, 19, 11, 19, 3, 2, 10, 9, 10, 2, 9, 14, 9, 18, 13, 14, 4, 6, 7, 17, 15, 13, 4, 14, 16, 14, 12, 9, 6, 4, 5, 14, 7, 16, 19, 11, 7, 12, 17, 16, 7, 6, 12, 6, 7, 17, 11, 18, 7, 13, 13, 19, 1, 10, 17, 15, 5, 9, 17, 8, 1, 13, 4, 7, 4, 12, 11, 13, 5, 3, 9, 12, 16, 16, 3, 8, 9, 9, 8, 15, 10, 9, 8, 14, 13, 3, 9, 11, 3, 11, 11, 17, 9, 17, 8, 13, 11, 19, 15, 2, 13, 14, 19, 10, 12, 6, 5, 2, 11, 20, 15, 12, 4, 10, 10, 5, 17, 7, 2, 14, 5, 4, 3, 3, 20, 17, 6, 18, 6, 4, 16, 6, 13, 16, 14, 15, 15, 16, 12, 1, 16, 17, 8, 13, 6, 14, 11, 3, 19, 16, 15, 10, 12, 13, 8, 18, 7, 7, 9, 1, 5, 4, 19, 1, 6, 3, 6, 18, 1, 11, 7, 9, 3, 20, 14, 16, 1, 8, 15, 1, 15, 1, 4, 8, 9, 17, 4, 1, 15, 17, 10, 2, 2, 12, 14, 5, 9, 9, 14, 20, 14, 15, 16, 4, 3, 15, 5, 16, 17, 1, 19, 4, 18, 11, 9, 14, 2, 18, 9, 1, 18, 15, 5, 17, 13, 1, 17, 1, 16, 1, 4, 1, 8, 16, 17, 12, 17, 5, 15, 1, 7, 12, 8, 2, 17, 11, 16, 12, 5, 14, 11, 1, 12, 5, 2, 8, 3, 8, 9, 13, 14, 3, 7, 19, 6, 2, 10, 3, 9, 19, 7, 11, 16, 14, 1, 7, 9, 1, 13, 14, 12, 18, 16, 6, 5, 15, 1, 15, 18, 1, 15, 16, 13, 13, 5, 17, 9, 8, 7, 3, 14, 9, 15, 6, 1, 19, 11, 15, 12, 12, 17, 3, 12, 13, 8, 11, 1, 10, 16, 1, 8, 11, 3, 6, 15, 12, 9, 7, 11, 1, 2, 5, 1, 2, 13, 2, 17, 15, 12, 7, 6, 9, 17, 10, 8, 14, 20, 16, 11, 7, 1, 8, 7, 7, 16, 2, 15, 10, 15, 12, 10, 6, 4, 14, 12, 1, 1, 12, 16, 2, 17, 3, 7, 11, 17, 5, 5, 3, 8, 15, 12, 16, 16, 6, 19, 17, 13, 19, 14, 11, 12, 8, 8, 1, 10, 5, 3, 8, 14, 1, 7, 10, 5, 17, 9, 9, 12, 2, 11, 9, 10, 4, 19, 8, 4, 7, 13, 9, 10, 10, 16, 7, 9, 6, 2, 16, 13, 4, 13, 5, 2, 2, 10, 16, 7, 4, 4, 6, 10, 4, 6, 9, 17, 2, 10, 3, 3, 15, 8, 17, 9, 5, 13, 2, 6, 9, 12, 2, 18, 6, 6, 10}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 24, 24, 24, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 29, 30, 30, 30, 30, 30, 34, 34, 34, 34, 34, 34, 34, 34, 36, 36, 36, 36, 38, 38, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 44, 45, 45, 45, 45, 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 48, 48, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 52, 52, 53, 53, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 57, 57, 57, 57, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 65, 65, 65, 65, 65, 65, 65, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 72, 72, 72, 72, 72, 72, 72, 73, 73, 73, 73, 73, 73, 73, 76, 76, 76, 76, 76, 77, 77, 77, 77, 77, 77, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 80, 80, 81, 81, 81, 81, 81, 82, 82, 82, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 85, 85, 85, 85, 85, 85, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 88, 88, 88, 88, 88, 88, 88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 93, 93, 93, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98 }
{1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2}
{2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 6, 2, 6, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 6, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 5, 1, 2, 1, 1, 14, 1, 1, 15, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 20, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 12, 1, 2, 2, 5, 1, 2, 2, 2, 1, 1, 2, 1, 2, 15, 1, 6, 20, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 17, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 5, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 6, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 10, 1, 2, 2, 18, 1, 1, 2, 2, 1, 1, 2, 1, 17, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 11, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 15, 1, 11, 1, 1, 2, 1, 2, 2, 1, 1, 3, 1, 2, 1, 2, 20, 2, 2, 18, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 13, 1, 1, 2, 1, 1, 1, 1, 5, 1, 1, 11, 2, 2, 1, 1, 7, 1, 2, 2, 1, 1, 1, 12, 1, 2, 2, 2, 1, 18, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 20, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 10, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 9, 1, 9, 1, 1, 17, 2, 8, 2, 1, 1, 1, 6, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 13, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 15, 2, 2, 2, 20, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 16, 1, 2, 1, 2, 1, 2, 14, 1, 1, 2, 1, 2, 20, 2, 1, 15, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 8, 1, 2, 2, 2, 2, 1, 2, 19, 1, 1, 15, 2, 1, 2, 2, 1, 1, 17, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 19, 2, 2, 14, 1, 1, 1, 1, 1, 1, 2, 19, 2, 6, 1, 10, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 2, 2, 2, 2, 17, 1, 1, 1, 2, 7, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 3, 4, 1, 2, 1, 1, 1, 18, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 19, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 19, 1, 1, 2, 19, 2, 2, 1, 1, 1, 2, 1, 1, 6, 1, 1, 2, 2, 2, 12, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 10, 1, 2, 2, 2, 9, 2, 1, 3, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 6, 1, 2, 2, 2, 13, 2, 1, 2, 2, 6, 2, 2, 1, 2, 2, 1, 1, 1, 11, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 5, 2, 9, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 8, 14, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 9, 2, 2, 2, 2, 14, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 13, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 19, 1, 2, 1, 1, 2, 7, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 15, 2, 1, 2, 2, 1, 2, 1, 2, 1, 20, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 7, 2, 1, 1, 1, 10, 2, 2, 1, 2, 2, 2, 1, 19, 1, 1, 2, 2, 1, 1, 2, 4, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 2, 2, 2, 2, 2, 13, 2, 1, 2, 1, 17, 1, 17, 1, 2, 2, 1, 1, 4, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 18, 1, 2, 2, 2, 2, 2, 2, 20, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 17, 1, 1, 1, 2, 2, 1, 2, 12, 2, 18, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 4, 1, 1, 3, 1, 1, 2, 1, 2, 1, 2, 1, 11, 1, 1, 1, 1}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 34, 34, 34, 35, 35, 36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 43, 43, 43, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 45, 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 52, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 57, 58, 58, 58, 58, 58, 58, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 65, 65, 65, 65, 65, 66, 66, 66, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 68, 68, 68, 68, 68, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 70, 70, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 72, 72, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 74, 74, 74, 75, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 77, 77, 77, 77, 77, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 80, 80, 80, 80, 80, 80, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 85, 85, 85, 85, 85, 86, 86, 86, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87, 87, 87, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 89, 89, 89, 89, 89, 89, 90, 90, 90, 90, 90, 91, 91, 92, 92, 92, 92, 92, 92, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 94, 94, 94, 94, 94, 94, 94, 94, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 96, 96, 96, 96, 96, 96, 96, 96, 97, 97, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99 }
{1, 4, 6, 20, 13, 8, 9, 13, 13, 13, 16, 6, 4, 14, 15, 10, 17, 2, 5, 13, 15, 9, 8, 3, 20, 7, 14, 3, 4, 11, 9, 13, 20, 16, 2, 1, 1, 14, 2, 16, 9, 6, 16, 5, 8, 9, 13, 19, 2, 7, 11, 14, 8, 11, 13, 3, 16, 1, 13, 14, 10, 5, 3, 20, 10, 19, 2, 19, 9, 12, 1, 10, 2, 3, 13, 9, 5, 6, 11, 17, 7, 10, 3, 11, 10, 10, 5, 9, 15, 3, 16, 2, 2, 15, 11, 7, 6, 17, 6, 10}
{8, 4, 4, 10, 16, 1, 16, 13, 12, 19, 2, 1, 18, 10, 9, 8, 7, 13, 2, 8, 18, 15, 7, 8, 18, 10, 4, 15, 7, 12, 6, 8, 11, 3, 9, 7, 14, 7, 8, 7, 11, 9, 2, 12, 14, 4, 13, 11, 12, 13, 1, 6, 13, 5, 15, 19, 1, 11, 13, 5, 11, 12, 12, 4, 4, 13, 13, 20, 15, 5, 8, 14, 2, 9, 11, 11, 5, 3, 7, 16, 8, 6, 9, 12, 20, 18, 13, 4, 3, 9, 13, 6, 19, 13, 12, 12, 14, 15, 6, 3, 16, 9, 15, 19, 16, 7, 4, 1, 12, 11, 15, 12, 16, 10, 17, 9, 13, 19, 16, 5, 14, 18, 7, 12, 10, 19, 12, 13, 6, 9, 14, 4, 10, 11, 18, 1, 5, 11, 10, 4, 14, 3, 15, 16, 6, 2, 8, 9, 4, 12, 12, 4, 17, 9, 9, 5, 10, 15, 1, 8, 1, 9, 11, 16, 10, 10, 5, 2, 1, 5, 16, 2, 6, 13, 8, 1, 1, 16, 5, 11, 13, 10, 5, 4, 12, 16, 14, 10, 14, 8, 4, 6, 5, 6, 18, 5, 5, 13, 10, 15, 12, 4, 13, 10, 4, 15, 13, 8, 2, 5, 17, 9, 13, 9, 3, 1, 13, 14, 7, 15, 11, 20, 15, 8, 16, 9, 8, 11, 4, 13, 5, 7, 2, 5, 15, 18, 11, 6, 3, 1, 20, 1, 6, 4, 10, 15, 17, 5, 16, 9, 6, 15, 19, 8, 3, 7, 15, 9, 6, 6, 3, 6, 7, 15, 9, 13, 4, 2, 15, 14, 3, 13, 3, 16, 6, 16, 7, 11, 8, 3, 3, 2, 10, 5, 19, 1, 16, 7, 8, 5, 7, 7, 14, 13, 14, 4, 11, 6, 5, 10, 14, 1, 8, 6, 13, 16, 13, 1, 9, 8, 9, 13, 4, 5, 10, 4, 7, 2, 9, 4, 6, 1, 5, 3, 18, 10, 1, 8, 5, 9, 14, 10, 4, 12, 10, 13, 4, 15, 2, 14, 13, 12, 7, 14, 3, 7, 13, 9, 20, 3, 15, 7, 13, 18, 7, 7, 6, 15, 10, 14, 16, 5, 16, 14, 1, 6, 6, 16, 13, 3, 3, 6, 14, 3, 13, 16, 1, 19, 1, 9, 4, 1, 7, 20, 15, 11, 17, 19, 12, 6, 11, 13, 4, 6, 15, 10, 9, 13, 4, 11, 8, 14, 14, 6, 12, 3, 9, 13, 11, 4, 12, 7, 15, 8, 19, 9, 15, 4, 18, 12, 16, 17, 2, 10, 16, 16, 15, 6, 14, 7, 13, 16, 6, 14, 11, 4, 8, 2, 5, 15, 7, 19, 20, 2, 9, 7, 3, 18, 7, 12, 10, 5, 6, 3, 7, 8, 12, 3, 10, 16, 9, 13, 4, 8, 6, 6, 14, 4, 15, 14, 13, 8, 10, 5, 2, 12, 2, 12, 14, 15, 3, 1, 19, 5, 8, 1, 4, 12, 4, 8, 11, 8, 5, 6, 15, 11, 8, 16, 4, 13, 8, 2, 4, 12, 3, 9, 3, 8, 7, 1, 13, 8, 9, 15, 14, 6, 15, 6, 14, 13, 14, 2, 1, 6, 6, 8, 13, 7, 14, 3, 10, 3, 2, 3, 1, 9, 3, 13, 7, 14, 6, 5, 19, 12, 16, 9, 11, 10, 10, 4, 17, 16, 9, 11, 17, 14, 13, 14, 11, 14, 5, 7, 15, 11, 9, 15, 12, 10, 2, 16, 1, 15, 4, 6, 18, 11, 3, 14, 4, 7, 1, 9, 7, 3, 3, 16, 3, 5, 9, 16, 2, 12, 1, 5, 3, 11, 6, 16, 14, 9, 8, 15, 9, 3, 1, 5, 5, 16, 18, 8, 16, 8, 4, 12, 1, 11, 17, 16, 3, 8, 14, 2, 13, 3, 7, 14, 16, 16, 15, 14, 13, 15, 5, 8, 8, 8, 4, 9, 15, 1, 6, 10, 9, 6, 17, 11, 5, 17, 16, 7, 10, 19, 13, 6, 15, 12, 11, 3, 7, 16, 14, 4, 15, 13, 7, 13, 7, 19, 3, 2, 16, 11, 9, 6, 7, 4, 7, 12, 12, 20, 10, 12, 5, 16, 7, 17, 13, 4, 5, 5, 8, 7, 7, 10, 14, 10, 4, 14, 4, 16, 14, 8, 4, 6, 16, 8, 8, 12, 9, 1, 15, 7, 15, 3, 17, 2, 20, 2, 14, 10, 10, 4, 6, 14, 13, 4, 4, 10, 15, 13, 2, 13, 13, 3, 9, 15, 11, 18, 15, 15, 3, 2, 3, 16, 3, 18, 8, 9, 11, 11, 16, 5, 12, 7, 1, 13, 20, 3, 12, 3, 1, 9, 2, 5, 5, 13, 12, 14, 2, 15, 5, 3, 15, 10, 20, 16, 1, 12, 9, 10, 3, 6, 5, 3, 19, 13, 16, 9, 10, 13, 14, 11, 9, 17, 15, 8, 12, 5, 6, 9, 14, 14, 13, 3, 19, 20, 10, 2, 3, 20, 1, 13, 8, 4, 20, 2, 15, 17, 2, 1, 13, 4, 15, 3, 1, 8, 15, 12, 13, 10, 1, 16, 8, 14, 7, 19, 8, 13, 8, 18, 14, 13, 18, 15, 14, 13, 16, 20, 4, 10, 7, 4, 10, 7, 5, 3, 3, 17, 3, 3, 11, 11, 20, 13, 17, 1, 14, 8, 7, 8, 10, 7, 11, 14, 20, 11, 2, 12, 11, 1, 9, 7, 14, 16, 19, 9, 10, 14, 16, 7, 12, 13, 17, 8, 16, 9, 19, 17, 14, 3, 9, 19, 11, 20, 7, 10, 15, 10, 7, 3, 4, 16, 8, 17, 5, 3, 2, 15, 1, 7, 19, 4, 1, 9, 19, 3, 9, 5, 1, 18, 18, 10, 6, 17, 15, 14, 12, 20, 19, 13, 10, 14, 4, 9, 14, 2, 16, 12, 12, 8, 7, 2, 8, 7, 16, 19, 13, 18, 10, 4, 4, 7, 15, 17, 4, 16, 14, 8, 14, 4, 5, 5, 7, 1, 4, 9, 5, 9, 15, 1, 19, 1, 12, 17, 14, 2, 9, 2, 5, 2, 1, 15, 13, 4}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 33, 33, 33, 34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 44, 44, 44, 44, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 48, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 50, 50, 50, 51, 51, 51, 51, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 56, 56, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 58, 58, 58, 58, 58, 58, 58, 58, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 66, 68, 68, 68, 68, 69, 69, 69, 69, 69, 70, 70, 70, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 72, 72, 72, 72, 73, 73, 73, 74, 74, 74, 74, 74, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 76, 76, 76, 76, 76, 77, 77, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 81, 81, 81, 81, 81, 81, 81, 81, 82, 82, 82, 82, 83, 84, 84, 84, 84, 85, 85, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87, 87, 88, 88, 88, 88, 89, 89, 89, 89, 89, 90, 91, 91, 91, 92, 92, 92, 92, 93, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 95, 95, 96, 96, 96, 96, 96, 96, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 99, 99, 99 }
{20, 13, 19, 18, 16, 13, 1, 10, 16, 11, 8, 19, 20, 13, 11, 18, 20, 15, 16, 19, 19, 16, 15, 6, 10, 5, 8, 18, 14, 13, 4, 6, 2, 5, 10, 19, 12, 13, 9, 19, 4, 10, 13, 11, 20, 12, 11, 18, 8, 14, 14, 17, 12, 19, 20, 17, 12, 14, 9, 20, 17, 16, 19, 15, 8, 4, 14, 14, 6, 8, 10, 20, 20, 2, 12, 19, 20, 4, 11, 7, 14, 12, 12, 18, 19, 14, 10, 20, 14, 12}
{3, 1, 9, 9, 6, 6, 6, 3, 7, 2, 7, 1, 5, 3, 9, 6, 5, 5, 7, 9, 7, 4, 4, 4, 1, 1, 9, 3, 6, 9, 8, 3, 4, 1, 3, 4, 7, 9, 16, 5, 8, 4, 7, 9, 7, 5, 8, 2, 3, 8, 8, 1, 6, 6, 8, 2, 7, 9, 7, 15, 1, 6, 1, 9, 8, 1, 9, 5, 9, 12, 8, 6, 6, 5, 3, 5, 2, 3, 6, 7, 8, 2, 8, 1, 9, 6, 6, 1, 2, 2, 8, 3, 7, 1, 2, 18, 4, 3, 7, 3, 7, 5, 2, 1, 5, 6, 4, 5, 7, 9, 6, 3, 2, 8, 5, 6, 9, 4, 7, 3, 9, 6, 6, 6, 9, 4, 3, 2, 4, 2, 9, 6, 9, 4, 9, 5, 8, 8, 7, 4, 3, 3, 2, 4, 3, 5, 5, 8, 4, 1, 9, 9, 5, 1, 9, 1, 7, 9, 5, 14, 5, 6, 1, 4, 8, 2, 4, 2, 3, 3, 1, 6, 1, 8, 17, 9, 5, 2, 8, 3, 9, 8, 20, 4, 3, 9, 6, 3, 2, 5, 1, 9, 2, 6, 7, 7, 8, 4, 7, 7, 5, 4, 2, 9, 4, 3, 6, 2, 2, 6, 1, 4, 1, 2, 5, 3, 9, 4, 5, 9, 5, 1, 15, 2, 1, 3, 1, 7, 5, 2, 1, 3, 3, 9, 3, 6, 1, 4, 8, 8, 1, 6, 9, 1, 1, 3, 4, 3, 7, 6, 5, 5, 1, 1, 4, 6, 5, 15, 3, 5, 5, 6, 2, 5, 3, 7, 4, 6, 3, 4, 1, 6, 2, 1, 4, 9, 3, 2, 7, 3, 2, 9, 2, 9, 2, 4, 2, 5, 7, 6, 3, 1, 8, 5, 1, 8, 9, 9, 7, 1, 8, 3, 1, 7, 9, 7, 7, 6, 2, 6, 8, 7, 1, 6, 9, 9, 9, 2, 9, 5, 9, 5, 3, 16, 6, 9, 3, 2, 4, 9, 6, 3, 7, 9, 4, 8, 4, 6, 6, 1, 9, 1, 7, 7, 8, 1, 2, 5, 4, 4, 7, 7, 7, 8, 7, 4, 7, 2, 8, 9, 1, 11, 5, 6, 7, 8, 1, 3, 6, 2, 1, 4, 5, 1, 7, 1, 1, 3, 5, 4, 7, 7, 6, 4, 8, 8, 9, 2, 9, 3, 2, 8, 8, 3, 8, 9, 8, 7, 2, 4, 7, 1, 2, 8, 5, 5, 3, 7, 5, 3, 2, 6, 1, 7, 5, 7, 7, 3, 3, 2, 7, 6, 3, 6, 6, 6, 3, 1, 7, 3, 4, 3, 3, 8, 5, 6, 9, 12, 1, 8, 8, 3, 7, 9, 5, 8, 3, 8, 6, 8, 1, 2, 8, 6, 5, 5, 5, 2, 4, 3, 9, 7, 5, 9, 3, 3, 7, 1, 5, 1, 3, 4, 8, 3, 7, 3, 9, 20, 8, 6, 8, 7, 6, 6, 1, 3, 3, 1, 7, 1, 9, 3, 8, 6, 6, 7, 3, 3, 2, 5, 6, 7, 8, 3, 6, 3, 2, 3, 3, 4, 6, 1, 4, 7, 8, 6, 8, 5, 5, 9, 11, 7, 2, 9, 4, 7, 7, 6, 1, 6, 9, 4, 6, 7, 7, 9, 9, 1, 8, 3, 1, 4, 8, 5, 8, 5, 19, 3, 5, 6, 4, 4, 2, 8, 5, 1, 2, 5, 1, 2, 12, 3, 7, 7, 4, 5, 3, 3, 2, 6, 6, 1, 8, 6, 5, 8, 4, 3, 4, 7, 4, 4, 6, 2, 3, 6, 3, 9, 3, 8, 2, 9, 8, 2, 5, 6, 4, 8, 1, 6, 3, 7, 7, 8, 4, 8, 9, 3, 5, 8, 7, 5, 4, 4, 2, 9, 11, 2, 8, 5, 8, 8, 9, 3, 8, 7, 7, 5, 8, 1, 1, 6, 2, 8, 5, 3, 7, 5, 5, 6, 7, 5, 8, 9, 2, 2, 5, 8, 5, 5, 5, 1, 3, 9, 6, 2, 4, 1, 3, 3, 2, 8, 3, 6, 5, 4, 7, 4, 2, 7, 5, 3, 13, 6, 3, 6, 8, 1, 1, 7, 5, 9, 6, 4, 1, 7, 9, 5, 2, 4, 1, 5, 7, 5, 8, 4, 7, 8, 9, 7, 7, 5, 4, 8, 3, 9, 9, 9, 9, 9, 1, 5, 1, 5, 8, 9, 1, 3, 8, 3, 4, 1, 6, 1, 9, 1, 7, 7, 8, 2, 3, 5, 1, 9, 7, 4, 3, 2, 6, 7, 7, 1, 8, 4, 8, 8, 8, 2, 6, 8, 8, 1, 1, 8, 4, 8, 6, 2, 9, 2, 1, 1, 6, 3, 1, 4, 7, 4, 2, 5, 5, 1, 8, 7, 3, 5, 9, 2, 7, 3, 4, 3, 8, 15, 2, 6, 7, 5, 2, 3, 5, 3, 5, 2, 1, 6, 4, 8, 6, 6, 9, 8, 6, 3, 3, 7, 2, 2, 2, 5, 3, 2, 9, 7, 2, 1, 3, 8, 3, 7, 1, 6, 9, 9, 3, 3, 2, 9, 3, 5, 1, 4, 2, 1, 2, 7, 2, 9, 1, 7, 9, 5, 4, 8, 2, 5, 8, 4, 5, 3, 8, 1, 2, 4, 8, 5, 1, 1, 2, 2, 9, 2, 3, 15, 9, 8, 6, 5, 3, 1, 8, 2, 2, 6, 8, 1, 6, 7, 5, 6, 3, 2, 3, 5, 8, 7, 1, 9, 5, 3, 4, 5, 7, 9, 2, 5, 1, 3, 6, 6, 2, 5, 1, 2, 6, 2, 9, 1, 7, 3, 9, 9, 3, 1, 8, 19, 1, 9, 2, 1, 2, 2, 1, 5, 9, 5, 3, 9, 1, 3, 1, 2, 6, 9, 3, 4, 6, 3, 1, 5, 3, 4, 2, 5, 6, 8, 8, 1, 9, 14, 5, 7, 4, 8, 6, 3, 3, 2, 1, 7, 5, 9, 8, 1, 2, 12, 3, 5, 5, 5, 9, 8, 9, 2, 3, 6, 9, 9, 8, 9, 9, 3, 7, 3, 8, 5, 1, 4, 6, 2, 8}
Returns: {6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86 }
{9, 7, 17, 11, 13, 9, 15, 20, 18, 10, 16, 7, 7, 18, 2, 20, 17, 10, 3, 7, 18, 7, 12, 14, 14, 9, 18, 16, 1, 7, 6, 17, 8, 11, 18, 12, 18, 15, 11, 15, 19, 3, 10, 15, 9, 17, 14, 10, 10, 19, 3, 12, 7, 16, 17, 11, 1, 17, 12, 14, 4, 13, 2, 16, 2, 12, 17, 15, 1, 17, 18, 5, 8, 10, 5, 10, 3, 8, 20, 1, 11, 14, 20, 2, 18, 20, 9, 16, 7, 1, 13, 8, 5, 10, 11, 11, 8, 8}
{1, 2, 4, 3, 3, 2, 1, 3, 5, 6, 4, 3, 4, 3, 5, 1, 1, 2, 3, 1, 5, 1, 1, 20, 2, 5, 2, 3, 4, 6, 6, 2, 1, 4, 2, 1, 6, 6, 5, 1, 1, 5, 1, 1, 1, 5, 6, 4, 5, 3, 6, 5, 4, 4, 16, 2, 2, 3, 6, 3, 6, 5, 3, 4, 4, 4, 5, 3, 5, 4, 1, 4, 3, 4, 5, 4, 7, 5, 2, 6, 1, 4, 2, 3, 1, 5, 6, 3, 4, 4, 1, 6, 1, 6, 3, 5, 5, 6, 5, 6, 4, 5, 1, 2, 1, 1, 5, 6, 1, 4, 3, 1, 1, 5, 2, 5, 2, 3, 6, 6, 3, 3, 2, 5, 5, 4, 4, 4, 4, 2, 3, 5, 5, 1, 5, 4, 2, 2, 1, 6, 5, 5, 3, 5, 5, 4, 1, 6, 2, 3, 1, 1, 4, 3, 1, 5, 2, 6, 4, 5, 1, 1, 4, 4, 5, 5, 4, 3, 6, 2, 4, 5, 3, 1, 2, 5, 4, 3, 4, 2, 2, 5, 2, 5, 6, 11, 1, 3, 5, 1, 5, 4, 4, 6, 1, 5, 5, 5, 1, 2, 1, 3, 1, 5, 6, 1, 5, 5, 4, 5, 3, 2, 3, 3, 5, 5, 4, 6, 6, 1, 5, 6, 4, 3, 4, 2, 5, 6, 2, 2, 1, 1, 2, 5, 4, 2, 3, 4, 5, 7, 5, 6, 4, 3, 5, 4, 1, 2, 6, 1, 6, 1, 2, 2, 12, 4, 4, 5, 3, 8, 5, 5, 4, 5, 4, 3, 2, 4, 3, 5, 4, 11, 8, 3, 6, 2, 5, 2, 5, 4, 3, 4, 1, 3, 5, 5, 11, 5, 1, 2, 2, 4, 3, 6, 1, 6, 6, 3, 5, 4, 2, 1, 2, 3, 2, 2, 4, 4, 5, 6, 2, 6, 2, 5, 1, 1, 2, 5, 1, 2, 4, 3, 4, 6, 2, 3, 6, 1, 6, 6, 6, 1, 6, 3, 3, 4, 2, 6, 1, 2, 4, 5, 2, 1, 6, 2, 6, 2, 4, 4, 3, 5, 4, 1, 1, 3, 1, 3, 4, 2, 1, 3, 1, 1, 5, 6, 1, 1, 1, 4, 5, 3, 2, 6, 2, 2, 4, 4, 5, 3, 4, 3, 2, 4, 5, 4, 1, 3, 6, 3, 3, 5, 4, 4, 2, 5, 4, 6, 3, 1, 2, 6, 1, 5, 6, 6, 5, 6, 5, 1, 1, 4, 2, 2, 2, 6, 6, 1, 1, 4, 4, 2, 3, 4, 4, 3, 6, 3, 4, 1, 3, 5, 5, 4, 4, 2, 2, 6, 2, 5, 3, 5, 2, 3, 5, 5, 4, 4, 1, 2, 6, 6, 1, 1, 5, 2, 1, 2, 1, 3, 2, 4, 4, 6, 1, 6, 4, 4, 2, 3, 3, 2, 3, 1, 3, 2, 6, 5, 3, 1, 5, 1, 5, 6, 6, 6, 4, 6, 1, 6, 4, 3, 6, 4, 1, 4, 1, 1, 4, 2, 4, 5, 6, 4, 3, 2, 1, 4, 6, 6, 2, 1, 1, 4, 1, 2, 4, 3, 6, 5, 3, 1, 5, 6, 4, 6, 6, 4, 5, 2, 3, 1, 3, 4, 1, 2, 2, 1, 2, 4, 6, 2, 3, 3, 4, 1, 5, 5, 1, 1, 1, 7, 2, 4, 5, 1, 6, 3, 4, 4, 3, 6, 5, 2, 2, 2, 3, 6, 2, 6, 1, 2, 6, 4, 5, 2, 5, 5, 4, 4, 3, 3, 1, 1, 6, 2, 3, 6, 5, 6, 3, 1, 3, 3, 3, 5, 1, 4, 5, 5, 5, 1, 3, 2, 6, 4, 1, 2, 6, 3, 5, 2, 6, 1, 1, 1, 1, 5, 1, 2, 6, 1, 6, 3, 6, 2, 1, 4, 4, 2, 3, 4, 2, 1, 4, 2, 2, 5, 5, 4, 2, 5, 1, 4, 3, 3, 1, 9, 5, 5, 2, 6, 1, 4, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 5, 4, 5, 1, 4, 2, 6, 2, 6, 4, 6, 1, 6, 2, 1, 5, 5, 6, 4, 2, 6, 4, 1, 6, 2, 3, 1, 5, 3, 6, 1, 1, 16, 1, 3, 1, 4, 5, 1, 6, 6, 1, 3, 5, 6, 1, 15, 1, 3, 2, 5, 3, 1, 5, 2, 4, 1, 3, 6, 1, 3, 2, 2, 2, 3, 3, 1, 2, 6, 1, 1, 4, 3, 11, 5, 2, 3, 2, 1, 4, 4, 1, 6, 4, 6, 6, 4, 3, 6, 4, 3, 4, 4, 4, 3, 5, 6, 4, 6, 2, 3, 5, 5, 3, 1, 4, 2, 4, 4, 6, 6, 1, 1, 4, 4, 1, 1, 2, 1, 5, 4, 3, 5, 4, 5, 1, 2, 6, 2, 4, 4, 5, 3, 1, 2, 5, 2, 1, 1, 3, 6, 2, 2, 6, 6, 5, 3, 5, 3, 3, 6, 2, 5, 5, 3, 3, 6, 1, 1, 6, 2, 6, 1, 2, 8, 3, 2, 6, 5, 6, 6, 5, 4, 6, 3, 5, 1, 4, 4, 2, 6, 4, 2, 1, 4, 5, 2, 1, 3, 4, 5, 1, 2, 3, 10, 3, 5, 6, 1, 5, 2, 2, 1, 2, 4, 6, 3, 4, 3, 1, 5, 5, 1, 4, 6, 6, 3, 4, 5, 2, 6, 1, 2, 1, 3, 6, 6, 4, 1, 3, 4, 2, 6, 5, 4, 3, 1, 3, 4, 3, 5, 5, 3, 3, 3, 1, 1, 2, 5, 3, 3, 1, 2, 4, 3, 1, 4, 4, 3, 5, 2, 3, 5, 4, 1, 6, 6, 1, 4, 3, 2, 5, 3, 5, 1, 3, 6, 2, 6, 1, 2, 6, 5, 6, 5, 1, 2, 2, 6, 6, 4, 6, 4, 3, 2, 3, 2, 4, 4, 2, 6, 6, 5, 3, 6, 2, 15, 3, 6, 6, 4, 2, 3, 3, 5, 1, 5, 2, 5, 1, 3, 6, 4, 4, 5, 2, 2, 4, 2, 1, 6, 2, 6, 3, 3}
Returns: {14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 56, 56, 56, 56, 56, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 62, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92 }
{19, 2, 9, 1, 1, 9, 2, 20, 2, 14, 1, 1, 1, 1, 10, 6, 2, 7, 2, 1, 2, 16, 1, 6, 14, 2, 3, 2, 2, 2, 2, 10, 6, 2, 4, 17, 1, 20, 13, 2, 20, 2, 1, 6, 1, 2, 1, 1, 5, 2, 8, 6, 1, 1, 6, 2, 17, 3, 8, 1, 2, 1, 19, 13, 2, 19, 17, 8, 1, 10, 2, 2, 1, 6, 15, 5, 2, 1, 19, 1, 19, 5, 8, 16, 9, 6, 8, 19, 2, 1, 2, 11, 11, 14, 9, 19, 2}
{1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 13, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 17, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 10, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 8, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 13, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 7, 2, 2, 1, 1, 2, 20, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 7, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 4, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 11, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 9, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 11, 19, 1, 1, 1, 1, 8, 6, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 8, 1, 1, 2, 1, 1, 1, 1, 2, 20, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 3, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 14, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 16, 20, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 17, 1, 2, 1, 2, 2, 2, 14, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 19, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 7, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 18, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 5, 17, 1, 2, 1, 1, 9, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 8, 17, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 14, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 13, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 6, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 10, 2, 1, 2, 2, 2, 17, 9, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 17, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 20, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 13, 14, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 15, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 18, 1, 1, 1, 2, 1, 12, 11, 1, 2, 1, 1, 1, 1, 7, 11, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 22, 22, 22, 22, 22, 25, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 36, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 47, 49, 49, 49, 49, 49, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 53, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 64, 64, 64, 64, 64, 64, 68, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 76, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 88, 88, 88, 88, 88, 88, 89, 90, 90, 90, 90, 90, 90, 90, 96 }
{6, 2, 18, 6, 16, 1, 2, 13, 17, 13, 13, 9, 10, 10, 14, 10, 1, 2, 6, 10, 14, 20, 18, 13, 3, 2, 17, 8, 11, 16, 7, 5, 14, 18, 20, 2, 9, 2, 2, 12, 1, 19, 11, 18, 5, 10, 4, 18, 1, 2, 1, 3, 18, 1, 3, 20, 2, 1, 5, 1, 10, 16, 10, 2, 10, 16, 2, 1, 1, 5, 10, 19, 1, 14, 15, 20, 20, 20, 3, 20, 1, 2, 3, 2, 6, 12, 12, 15, 11, 19, 9, 2, 4, 20, 9, 8, 14, 2, 6, 15}
{3, 2, 3, 1, 3, 1, 3, 3, 1, 3, 3, 3, 1, 3, 3, 2, 1, 3, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 1, 1, 2, 2, 1, 3, 1, 1, 3, 2, 1, 1, 3, 2, 2, 1, 1, 3, 1, 3, 1, 2, 1, 14, 1, 1, 11, 1, 3, 2, 16, 1, 2, 3, 8, 2, 1, 1, 3, 1, 3, 3, 3, 1, 2, 3, 3, 20, 2, 3, 3, 3, 20, 1, 3, 3, 2, 1, 3, 1, 3, 3, 2, 2, 3, 1, 3, 3, 2, 1, 3, 3, 3, 2, 3, 1, 3, 2, 2, 3, 2, 2, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 3, 2, 2, 2, 3, 1, 3, 1, 3, 3, 3, 3, 1, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 1, 3, 2, 1, 2, 3, 3, 3, 3, 2, 6, 3, 3, 2, 1, 1, 3, 3, 1, 3, 3, 2, 1, 1, 1, 1, 3, 2, 3, 2, 1, 3, 2, 2, 3, 3, 2, 3, 6, 2, 3, 1, 2, 1, 1, 3, 3, 2, 3, 1, 2, 1, 3, 1, 2, 1, 3, 1, 3, 1, 3, 2, 2, 3, 1, 2, 3, 3, 2, 3, 8, 2, 3, 2, 3, 1, 3, 1, 1, 3, 1, 3, 1, 2, 3, 1, 1, 1, 1, 3, 1, 2, 1, 3, 1, 2, 3, 1, 1, 3, 2, 1, 1, 3, 3, 2, 2, 1, 17, 3, 3, 3, 3, 2, 3, 1, 3, 2, 1, 1, 3, 2, 1, 1, 3, 3, 3, 2, 1, 1, 15, 1, 3, 2, 3, 3, 1, 1, 2, 3, 3, 2, 3, 2, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 6, 2, 3, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 3, 1, 2, 2, 1, 1, 1, 2, 13, 3, 2, 3, 1, 1, 3, 1, 1, 2, 3, 1, 1, 3, 2, 1, 2, 3, 3, 3, 2, 3, 13, 1, 3, 2, 1, 2, 1, 3, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 1, 2, 2, 1, 1, 3, 1, 2, 1, 2, 1, 2, 2, 2, 3, 2, 2, 1, 3, 3, 1, 2, 2, 3, 1, 3, 2, 1, 1, 1, 3, 3, 2, 1, 2, 9, 3, 2, 3, 3, 2, 3, 2, 3, 3, 2, 1, 1, 2, 3, 1, 2, 1, 16, 2, 3, 3, 3, 1, 3, 1, 1, 3, 2, 2, 3, 2, 1, 2, 5, 1, 2, 2, 2, 3, 2, 2, 10, 2, 2, 2, 3, 3, 1, 1, 1, 1, 3, 1, 2, 2, 3, 1, 2, 3, 3, 3, 1, 3, 2, 2, 3, 2, 2, 2, 1, 2, 1, 1, 3, 1, 3, 1, 2, 3, 2, 1, 3, 2, 1, 2, 2, 3, 1, 1, 1, 3, 2, 1, 1, 3, 2, 3, 1, 3, 2, 3, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 1, 3, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 3, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 3, 1, 3, 3, 3, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 11, 1, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 2, 1, 3, 1, 3, 1, 2, 2, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 3, 3, 2, 2, 3, 1, 1, 1, 1, 3, 1, 7, 1, 6, 2, 1, 2, 3, 1, 1, 17, 1, 13, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 2, 1, 3, 3, 2, 2, 3, 1, 2, 3, 3, 2, 1, 1, 1, 1, 20, 3, 3, 1, 7, 1, 2, 3, 3, 3, 1, 2, 1, 3, 5, 2, 1, 1, 1, 5, 1, 3, 2, 2, 2, 2, 1, 3, 2, 1, 1, 3, 3, 3, 13, 1, 3, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 2, 1, 3, 3, 1, 2, 1, 3, 2, 3, 3, 1, 1, 3, 1, 2, 1, 3, 2, 3, 3, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 3, 1, 3, 1, 2, 2, 12, 2, 1, 1, 1, 3, 1, 2, 1, 3, 3, 2, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 2, 3, 3, 1, 17, 1, 2, 2, 3, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 3, 3, 1, 2, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 3, 3, 3, 1, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 4, 1, 1, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 3, 1, 1, 4, 2, 3, 2, 2, 2, 3, 3, 1, 3, 2, 1, 3, 1, 1, 3, 3, 2, 2, 3, 1, 3, 2, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 3, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 3, 2, 3, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 2, 1, 3, 3, 1, 1, 3, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 3, 3, 1, 3, 2, 1, 3, 20, 3, 3, 3, 3, 1}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 6, 6, 6, 6, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 56, 56, 56, 56, 56, 56, 56, 56, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 63, 63, 66, 66, 66, 66, 66, 66, 66, 67, 67, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 72, 72, 72, 72, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 80, 80, 80, 80, 80, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97 }
{14, 15, 4, 6, 7, 2, 6, 7, 13, 5, 7, 19, 16, 11, 6, 19, 15, 19, 6, 13, 12, 14, 11, 10, 14, 13, 8, 2, 20, 11, 17, 4, 3, 13, 5, 8, 8, 18, 6, 1, 9, 16, 7, 5, 20, 10, 19, 16, 11, 20, 10, 11, 16, 14, 19, 20, 7, 19, 19, 13, 7, 2, 1, 5, 11, 1, 8, 11, 13, 16, 19, 9, 5, 17, 3, 19, 17, 16, 17, 16, 13, 9, 14, 15, 17, 19, 3, 12, 12, 19}
{2, 4, 3, 1, 1, 1, 2, 3, 3, 2, 4, 4, 3, 2, 1, 7, 4, 3, 4, 4, 2, 3, 4, 2, 2, 1, 4, 4, 3, 4, 3, 3, 4, 2, 4, 4, 4, 3, 3, 3, 3, 4, 3, 4, 1, 4, 1, 2, 1, 3, 3, 3, 1, 4, 1, 4, 3, 2, 3, 1, 4, 3, 3, 1, 4, 4, 2, 3, 3, 3, 3, 4, 3, 3, 14, 2, 4, 1, 2, 3, 3, 1, 4, 4, 1, 4, 4, 3, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 4, 2, 4, 3, 1, 3, 3, 4, 4, 2, 3, 4, 2, 1, 4, 3, 2, 4, 4, 2, 2, 2, 2, 2, 4, 4, 2, 1, 3, 4, 1, 4, 1, 4, 1, 1, 3, 3, 3, 1, 2, 4, 1, 4, 3, 3, 1, 4, 1, 2, 2, 4, 4, 4, 4, 1, 4, 4, 3, 3, 2, 2, 3, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 4, 3, 11, 4, 2, 2, 1, 2, 3, 3, 3, 4, 2, 2, 1, 2, 2, 3, 3, 11, 1, 4, 3, 1, 1, 4, 4, 1, 1, 4, 3, 3, 2, 4, 1, 2, 3, 4, 4, 4, 1, 1, 3, 4, 4, 2, 1, 3, 4, 1, 1, 2, 1, 4, 3, 2, 3, 4, 3, 1, 3, 2, 4, 4, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 3, 2, 1, 1, 1, 3, 3, 1, 3, 4, 3, 4, 1, 4, 2, 3, 2, 1, 3, 4, 3, 1, 1, 1, 4, 1, 2, 1, 4, 1, 3, 3, 4, 1, 1, 1, 2, 3, 4, 2, 3, 4, 4, 1, 4, 3, 2, 2, 2, 3, 11, 1, 4, 4, 1, 3, 4, 1, 2, 3, 3, 4, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 3, 3, 4, 4, 4, 3, 2, 3, 3, 3, 3, 2, 2, 1, 1, 4, 2, 2, 3, 4, 4, 3, 2, 1, 3, 1, 3, 1, 1, 2, 2, 1, 1, 3, 1, 2, 2, 8, 3, 3, 4, 2, 1, 2, 4, 3, 3, 1, 3, 2, 1, 4, 4, 2, 2, 3, 2, 1, 4, 1, 3, 4, 4, 4, 1, 2, 3, 1, 1, 1, 2, 3, 3, 4, 1, 3, 4, 1, 3, 3, 4, 2, 3, 2, 1, 3, 4, 2, 1, 1, 4, 1, 1, 4, 2, 2, 2, 2, 3, 4, 3, 4, 2, 2, 1, 2, 4, 1, 4, 1, 1, 1, 2, 2, 2, 4, 4, 3, 2, 2, 1, 3, 2, 1, 3, 4, 4, 1, 3, 1, 1, 4, 1, 4, 2, 3, 4, 2, 1, 2, 2, 1, 2, 2, 2, 2, 3, 1, 1, 3, 1, 4, 4, 1, 4, 3, 2, 3, 3, 4, 3, 3, 2, 1, 4, 3, 1, 1, 4, 2, 3, 4, 4, 2, 4, 1, 1, 4, 4, 4, 4, 4, 4, 2, 4, 1, 1, 3, 2, 3, 4, 3, 4, 4, 4, 4, 1, 1, 4, 4, 2, 2, 4, 1, 4, 2, 3, 1, 3, 3, 4, 1, 3, 1, 3, 3, 1, 1, 2, 1, 3, 3, 2, 1, 4, 4, 1, 3, 2, 1, 2, 4, 4, 1, 3, 3, 2, 1, 3, 4, 1, 4, 3, 2, 1, 1, 3, 3, 1, 2, 4, 2, 1, 4, 3, 2, 4, 3, 2, 1, 1, 1, 1, 1, 4, 2, 2, 3, 3, 2, 3, 4, 4, 1, 2, 2, 2, 1, 4, 4, 4, 3, 4, 2, 1, 1, 14, 4, 3, 3, 3, 2, 3, 2, 4, 3, 1, 3, 2, 4, 1, 2, 4, 3, 3, 4, 1, 1, 1, 3, 1, 12, 1, 4, 2, 3, 4, 4, 1, 3, 1, 3, 4, 1, 3, 4, 3, 2, 2, 2, 4, 1, 1, 3, 2, 1, 1, 4, 1, 1, 4, 2, 4, 1, 2, 3, 3, 3, 2, 4, 2, 4, 3, 3, 1, 4, 1, 4, 3, 4, 3, 3, 2, 3, 1, 4, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 4, 2, 4, 1, 3, 4, 1, 3, 3, 1, 3, 4, 4, 2, 4, 3, 2, 1, 4, 4, 3, 3, 1, 3, 2, 4, 2, 2, 1, 3, 4, 1, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 1, 2, 3, 3, 3, 3, 3, 1, 2, 3, 1, 3, 2, 4, 2, 4, 1, 3, 3, 3, 4, 1, 3, 3, 4, 3, 3, 4, 2, 4, 1, 2, 2, 4, 4, 4, 1, 3, 2, 3, 3, 1, 3, 4, 3, 4, 3, 1, 3, 1, 2, 2, 4, 2, 4, 1, 2, 3, 3, 1, 3, 2, 3, 3, 4, 1, 11, 2, 2, 4, 3, 1, 4, 3, 2, 3, 4, 3, 2, 3, 3, 2, 4, 4, 2, 4, 2, 4, 1, 1, 4, 3, 1, 2, 2, 3, 4, 4, 2, 4, 4, 4, 4, 1, 3, 2, 3, 1, 1, 1, 1, 2, 4, 3, 4, 2, 4, 2, 3, 3, 4, 1, 4, 1, 2, 4, 3, 4, 3, 4, 2, 1, 2, 2, 3, 1, 3, 1, 2, 1, 4, 2, 2, 1, 1, 3, 4, 3, 2, 4, 2, 4, 2, 2, 1, 4, 2, 4, 1, 2, 1, 1, 3, 3, 13, 3, 4, 1, 3, 2, 1, 3, 2, 2, 3, 2, 2, 4, 4, 2, 2, 1, 4, 4, 1, 2, 4, 3, 4, 1, 4, 3, 1, 1, 1, 2, 3, 10, 2, 2, 3, 2, 2, 2, 2, 1, 4, 14, 2, 1, 1, 2, 4, 1, 1, 3, 2, 2, 2, 2, 3, 2, 2, 4, 2, 2, 2, 3, 2, 2, 4, 3, 1, 1, 1, 2, 1, 3, 3, 4, 4, 3, 1, 1, 5}
Returns: {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86 }
{20, 17, 13, 15, 8, 19, 3, 1, 20, 7, 15, 17, 1, 8, 14, 9, 20, 20, 20, 11, 11, 3, 9, 1, 19, 10, 18, 3, 18, 12, 3, 1, 14, 5, 4, 20, 8, 1, 4, 20, 16, 15, 17, 1, 2, 4, 1, 8, 17, 14, 12, 10, 15, 9, 18, 8, 1, 10, 16, 18, 8, 13, 1, 19, 10, 6, 3, 1, 1, 14, 15, 16, 3, 7, 20, 20, 13, 16, 3, 1, 1, 1, 11, 20, 4, 19, 8, 1, 16, 2, 17, 8, 7, 17, 20, 9, 14, 8}
{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 18, 1, 1, 1, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 20, 1, 1, 1, 1, 1, 1, 1, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}
Returns: {7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 12, 12, 12, 12, 12, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 56, 56, 56, 56, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 67, 67, 67, 67, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 79, 79, 79, 79, 79, 79, 79, 79, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89 }
{20, 18, 17, 20, 20, 5, 18, 17, 3, 20, 19, 17, 19, 7, 20, 18, 3, 16, 20, 19, 19, 17, 17, 17, 18, 4, 17, 16, 20, 16, 17, 19, 16, 20, 20, 18, 16, 17, 20, 18, 20, 20, 16, 17, 20, 17, 17, 17, 17, 17, 19, 17, 17, 17, 16, 18, 19, 17, 17, 16, 20, 20, 16, 19, 18, 16, 16, 18, 8, 18, 17, 19, 19, 17, 17, 19, 17, 20, 20, 19, 17, 20, 20, 19, 19, 19, 19, 20, 18, 20, 17, 20, 19, 17}
{1, 7, 1, 6, 15, 10, 11, 4, 8, 14, 10, 1, 8, 5, 14, 1, 4, 8, 14, 2, 12, 5, 14, 14, 7, 13, 3, 8, 15, 12, 11, 3, 15, 9, 11, 13, 13, 12, 13, 9, 11, 15, 7, 4, 14, 6, 4, 11, 8, 9, 12, 1, 14, 11, 11, 15, 12, 11, 10, 8, 6, 9, 13, 1, 9, 11, 14, 2, 1, 6, 10, 14, 6, 11, 1, 6, 6, 9, 7, 11, 13, 12, 13, 2, 14, 5, 2, 13, 8, 3, 4, 15, 9, 11, 15, 4, 4, 5, 16, 6, 7, 4, 4, 13, 12, 7, 10, 11, 3, 14, 2, 10, 2, 9, 12, 9, 4, 2, 12, 5, 8, 13, 9, 5, 5, 1, 11, 2, 9, 6, 9, 12, 7, 7, 2, 7, 4, 4, 14, 14, 11, 11, 13, 9, 7, 4, 5, 7, 10, 9, 4, 7, 9, 15, 9, 13, 2, 5, 6, 7, 2, 10, 13, 14, 13, 12, 1, 2, 12, 7, 14, 7, 4, 14, 5, 6, 9, 1, 13, 11, 1, 4, 15, 4, 11, 10, 6, 13, 12, 7, 2, 4, 9, 2, 12, 15, 1, 1, 2, 14, 7, 1, 8, 15, 12, 4, 14, 11, 2, 13, 14, 11, 14, 1, 19, 14, 2, 11, 5, 1, 9, 3, 5, 15, 11, 15, 14, 4, 7, 4, 5, 9, 2, 1, 12, 11, 15, 11, 4, 5, 5, 9, 10, 14, 15, 7, 13, 13, 10, 11, 5, 6, 11, 12, 10, 1, 10, 11, 3, 13, 1, 3, 2, 10, 7, 13, 15, 9, 4, 5, 6, 1, 3, 5, 9, 15, 4, 13, 13, 13, 9, 8, 10, 4, 2, 10, 12, 14, 14, 6, 10, 15, 5, 8, 5, 8, 6, 3, 7, 3, 13, 7, 13, 6, 1, 5, 3, 11, 14, 4, 2, 5, 9, 5, 6, 15, 3, 3, 15, 9, 2, 5, 3, 2, 10, 15, 11, 12, 7, 5, 4, 6, 5, 4, 2, 13, 15, 3, 6, 9, 2, 1, 7, 14, 1, 2, 5, 6, 1, 4, 12, 8, 3, 1, 11, 4, 7, 11, 3, 9, 15, 3, 11, 8, 5, 14, 12, 3, 15, 11, 9, 3, 4, 4, 13, 3, 12, 4, 3, 14, 10, 2, 6, 11, 14, 3, 12, 4, 9, 11, 12, 3, 7, 11, 5, 4, 3, 11, 9, 10, 4, 15, 12, 12, 4, 7, 9, 13, 14, 14, 12, 1, 1, 4, 13, 14, 12, 15, 5, 8, 12, 7, 13, 6, 12, 14, 15, 4, 3, 4, 5, 6, 13, 6, 3, 7, 1, 3, 11, 9, 9, 9, 17, 6, 14, 10, 7, 9, 9, 1, 11, 8, 1, 11, 12, 11, 2, 15, 3, 3, 5, 7, 14, 7, 5, 7, 5, 4, 2, 3, 14, 4, 8, 5, 5, 13, 6, 5, 13, 9, 8, 11, 11, 8, 12, 1, 2, 11, 9, 6, 2, 7, 14, 11, 2, 2, 3, 7, 14, 15, 5, 8, 5, 7, 9, 1, 8, 2, 7, 4, 1, 10, 11, 11, 4, 8, 7, 14, 7, 4, 11, 3, 6, 9, 10, 1, 3, 3, 12, 6, 15, 13, 13, 9, 14, 12, 1, 13, 8, 2, 13, 6, 11, 10, 4, 2, 9, 3, 6, 6, 1, 13, 1, 3, 11, 7, 15, 7, 14, 1, 15, 15, 13, 7, 15, 3, 7, 12, 3, 10, 9, 13, 6, 10, 11, 13, 12, 11, 10, 1, 10, 4, 6, 1, 13, 2, 10, 9, 1, 1, 4, 12, 3, 1, 6, 9, 2, 7, 5, 8, 3, 6, 6, 6, 12, 15, 12, 7, 11, 3, 3, 13, 1, 12, 3, 8, 2, 10, 1, 7, 9, 5, 10, 9, 6, 4, 6, 12, 11, 10, 12, 3, 4, 6, 6, 8, 2, 14, 2, 15, 12, 15, 10, 11, 8, 13, 2, 15, 12, 12, 13, 11, 11, 15, 1, 12, 14, 7, 6, 2, 4, 14, 1, 15, 14, 5, 5, 12, 7, 15, 6, 14, 14, 3, 2, 8, 1, 10, 2, 13, 7, 12, 14, 9, 15, 10, 13, 3, 6, 10, 9, 5, 8, 8, 14, 5, 11, 10, 8, 10, 13, 5, 9, 14, 11, 7, 6, 10, 12, 11, 13, 15, 11, 8, 16, 3, 4, 3, 12, 9, 4, 11, 5, 12, 13, 7, 4, 6, 3, 10, 1, 15, 7, 8, 12, 14, 6, 8, 2, 5, 12, 10, 12, 4, 11, 2, 15, 2, 13, 6, 7, 5, 2, 10, 7, 12, 6, 4, 12, 2, 13, 2, 5, 10, 2, 15, 13, 8, 11, 7, 4, 3, 1, 6, 7, 12, 11, 3, 4, 15, 10, 11, 10, 3, 3, 12, 10, 7, 1, 6, 1, 13, 11, 6, 12, 3, 15, 18, 4, 9, 12, 14, 2, 11, 2, 2, 11, 5, 5, 10, 7, 2, 18, 8, 8, 11, 6, 9, 5, 3, 14, 8, 10, 9, 12, 13, 12, 4, 14, 12, 1, 4, 6, 1, 2, 2, 8, 14, 7, 1, 9, 6, 12, 12, 15, 5, 6, 1, 11, 5, 6, 15, 13, 7, 13, 1, 15, 2, 12, 14, 14, 12, 1, 11, 1, 2, 4, 4, 8, 13, 7, 10, 15, 2, 3, 3, 2, 13, 3, 5, 12, 8, 7, 12, 7, 9, 14, 3, 9, 3, 3, 7, 15, 5, 7, 12, 11, 13, 11, 1, 7, 6, 10, 2, 12, 6, 4, 13, 5, 6, 9, 9, 5, 7, 12, 4, 10, 13, 3, 7, 8, 14, 14, 15, 7, 10, 5, 5, 2, 14, 3, 1, 10, 10, 13, 14, 6, 6, 6, 11, 15, 11, 10, 9, 10, 12, 8, 11, 8, 13, 1, 13, 10, 5, 14, 14, 4, 13, 1, 4, 7, 6, 6, 12, 3, 3, 17, 2, 2, 11, 7, 7, 7, 9, 1, 17, 6, 7, 14, 13, 2, 14, 3, 12, 15, 15, 8, 12, 1, 11, 11, 12, 2, 8, 14, 3, 4, 2}
Returns: {5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 68, 68, 68, 68, 68, 68, 68, 68, 68 }
{18, 11, 8, 19, 9, 6, 11, 6, 3, 10, 9, 13, 4, 7, 15, 17, 6, 10, 20, 18, 10, 10, 8, 11, 4, 5, 14, 11, 7, 4, 7, 9, 10, 18, 11, 6, 11, 3, 2, 9, 3, 1, 6, 8, 17, 10, 16, 17, 7, 7, 16, 8, 12, 1, 15, 20, 20, 13, 17, 4, 1, 13, 1, 11, 13, 4, 5, 8, 19, 3, 8, 18, 8, 7, 20, 17, 11, 17, 2, 12, 19, 6, 4, 20, 6, 17, 15, 17, 7, 1}
{10, 6, 5, 1, 9, 9, 4, 5, 8, 2, 9, 5, 1, 3, 4, 7, 7, 9, 10, 3, 3, 6, 10, 9, 8, 3, 3, 4, 2, 2, 7, 7, 10, 4, 5, 2, 16, 3, 1, 8, 4, 2, 4, 9, 9, 10, 9, 7, 12, 8, 8, 4, 5, 8, 10, 9, 5, 8, 4, 3, 8, 1, 5, 4, 9, 1, 6, 9, 9, 7, 1, 7, 1, 5, 2, 10, 10, 10, 6, 4, 8, 15, 8, 2, 9, 9, 9, 1, 8, 4, 6, 7, 9, 8, 6, 4, 4, 3, 6, 6, 8, 7, 1, 4, 7, 2, 9, 4, 7, 4, 7, 2, 7, 1, 7, 6, 9, 10, 10, 10, 1, 8, 8, 4, 1, 1, 9, 10, 4, 9, 1, 5, 3, 4, 1, 5, 10, 10, 2, 7, 1, 1, 4, 9, 3, 8, 2, 7, 4, 10, 9, 10, 1, 1, 20, 8, 8, 1, 1, 4, 10, 6, 4, 4, 19, 8, 3, 2, 3, 8, 10, 1, 1, 6, 2, 8, 5, 5, 8, 3, 1, 8, 7, 8, 6, 3, 10, 10, 7, 10, 5, 3, 8, 9, 6, 8, 4, 10, 2, 7, 8, 7, 2, 3, 9, 9, 6, 10, 7, 7, 2, 7, 4, 6, 4, 9, 6, 8, 6, 2, 9, 5, 10, 3, 18, 7, 4, 3, 9, 3, 8, 6, 5, 6, 6, 8, 2, 1, 5, 2, 1, 8, 10, 3, 3, 6, 8, 2, 1, 10, 4, 5, 3, 10, 7, 10, 5, 4, 10, 7, 10, 1, 3, 8, 17, 12, 7, 8, 5, 1, 1, 5, 2, 8, 10, 10, 2, 20, 2, 6, 4, 3, 5, 2, 6, 10, 3, 3, 5, 3, 1, 4, 9, 2, 8, 7, 4, 8, 3, 1, 5, 9, 3, 2, 4, 6, 10, 1, 2, 5, 3, 2, 6, 8, 9, 7, 3, 8, 3, 4, 13, 9, 8, 8, 7, 3, 9, 2, 3, 9, 2, 9, 1, 5, 5, 8, 7, 4, 7, 3, 5, 20, 12, 2, 2, 5, 8, 13, 7, 1, 14, 9, 2, 8, 1, 6, 18, 10, 3, 10, 1, 3, 8, 8, 3, 1, 4, 9, 1, 3, 7, 2, 9, 7, 6, 2, 9, 7, 6, 4, 10, 3, 9, 1, 7, 3, 5, 8, 5, 10, 8, 7, 6, 10, 4, 6, 7, 1, 7, 9, 8, 10, 10, 6, 8, 10, 7, 9, 2, 1, 2, 4, 6, 9, 20, 1, 6, 2, 6, 7, 11, 1, 2, 3, 6, 7, 7, 7, 2, 9, 7, 6, 7, 1, 4, 1, 1, 7, 2, 3, 3, 8, 6, 9, 7, 6, 2, 9, 12, 7, 9, 1, 1, 8, 10, 7, 7, 10, 4, 2, 6, 9, 3, 8, 9, 3, 8, 7, 1, 3, 10, 2, 8, 3, 6, 5, 4, 8, 7, 4, 15, 8, 4, 9, 3, 4, 8, 8, 7, 3, 10, 10, 2, 4, 1, 3, 4, 10, 9, 5, 2, 5, 4, 5, 5, 2, 8, 3, 8, 9, 3, 4, 10, 15, 1, 3, 4, 14, 3, 4, 2, 2, 19, 1, 4, 1, 4, 9, 10, 8, 1, 10, 2, 2, 5, 1, 20, 1, 2, 6, 10, 9, 1, 8, 6, 10, 6, 2, 6, 13, 8, 8, 10, 1, 4, 6, 9, 2, 5, 2, 9, 8, 7, 10, 1, 3, 6, 5, 3, 10, 1, 2, 10, 4, 2, 9, 19, 5, 18, 2, 7, 5, 4, 8, 7, 1, 1, 6, 5, 4, 1, 4, 8, 1, 6, 10, 17, 1, 4, 4, 2, 4, 10, 6, 2, 8, 8, 9, 9, 9, 8, 6, 1, 9, 6, 4, 5, 4, 8, 7, 16, 2, 3, 3, 1, 9, 10, 5, 3, 11, 3, 8, 10, 10, 8, 10, 14, 8, 7, 1, 5, 4, 6, 7, 17, 6, 10, 1, 6, 13, 14, 2, 5, 10, 3, 7, 7, 6, 10, 7, 6, 6, 10, 10, 4, 2, 5, 9, 3, 6, 5, 3, 1, 7, 7, 13, 6, 4, 8, 2, 5, 3, 7, 10, 3, 8, 10, 10, 10, 4, 10, 10, 2, 6, 10, 15, 9, 13, 9, 5, 7, 9, 3, 7, 2, 10, 3, 7, 1, 3, 10, 10, 2, 9, 2, 5, 4, 5, 8, 1, 9, 3, 9, 10, 8, 9, 3, 5, 5, 5, 4, 2, 1, 8, 7, 2, 6, 4, 6, 5, 6, 4, 10, 2, 10, 3, 3, 10, 10, 10, 5, 7, 2, 2, 8, 7, 2, 5, 17, 7, 6, 10, 7, 4, 10, 1, 6, 5, 9, 5, 3, 6, 5, 3, 3, 1, 9, 6, 8, 8, 3, 2, 10, 7, 10, 6, 4, 5, 2, 4, 2, 6, 6, 3, 16, 10, 10, 7, 10, 6, 8, 9, 10, 15, 3, 7, 1, 10, 7, 6, 10, 8, 7, 6, 5, 8, 1, 9, 10, 5, 6, 2, 4, 5, 4, 8, 18, 6, 1, 9, 9, 8, 3, 6, 9, 2, 12, 7, 4, 7, 10, 4, 10, 2, 18, 4, 6, 2, 3, 8, 9, 1, 2, 1, 10, 5, 10, 7, 2, 5, 9, 6, 7, 10, 1, 2, 6, 11, 8, 13, 9, 5, 4, 6, 10, 10, 7, 6, 6, 8, 9, 9, 9, 7, 7, 8, 4, 2, 8, 9, 6, 3, 10, 10, 5, 4, 12, 13, 4, 2, 10, 2, 3, 7, 4, 10, 9, 10, 4, 12, 3, 7, 6, 10, 1, 4, 7, 6, 2, 3, 3, 7, 2, 9, 5, 10, 8, 2, 4, 13, 1, 4, 10, 4, 8, 8, 3, 4, 1, 6, 2, 8, 7, 7, 1, 9, 10, 5, 3, 3, 4, 3, 8, 14, 1, 5, 9, 6, 10, 4, 3, 1, 1, 3, 1, 6, 1, 6, 8, 3, 8, 13, 1, 2, 3, 7, 9, 3, 9, 7, 10, 10, 10, 7, 1, 5, 10, 2, 8, 2, 3, 9, 4, 1, 7, 8, 8}
Returns: {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 20, 21, 21, 21, 21, 21, 22, 22, 22, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 35, 35, 35, 35, 35, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 43, 45, 45, 45, 45, 45, 45, 45, 48, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 51, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 66, 66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 70, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 73, 73, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 81, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89 }
{20, 19, 20, 5, 3, 6, 10, 1, 16, 19, 19, 16, 20, 16, 17, 10, 8, 18, 17, 16, 20, 1, 16, 16, 19, 10, 5, 8, 19, 12, 20, 16, 15, 16, 17, 17, 9, 19, 14, 19, 17, 17, 19, 19, 15, 9, 18, 9, 16, 20, 1, 18, 11, 15, 20, 4, 2, 15, 17, 16, 5, 7, 3, 14, 2, 18, 1, 18, 20, 13, 17, 18, 17, 20, 9, 8, 20, 20, 17, 12, 14, 18, 20, 20, 14, 12, 18, 20, 6, 17, 2, 18, 17, 19, 16, 20}
{3, 12, 10, 4, 5, 7, 9, 11, 9, 10, 2, 5, 1, 11, 1, 4, 1, 1, 6, 18, 3, 8, 11, 13, 7, 2, 10, 9, 12, 2, 9, 11, 13, 13, 12, 13, 13, 13, 8, 8, 16, 2, 10, 3, 8, 6, 12, 3, 12, 5, 12, 4, 2, 12, 12, 7, 9, 7, 8, 12, 5, 7, 10, 4, 7, 11, 4, 10, 3, 2, 2, 10, 3, 12, 6, 13, 8, 2, 4, 12, 12, 6, 1, 4, 9, 5, 1, 6, 8, 3, 6, 5, 12, 3, 13, 13, 5, 8, 10, 7, 7, 4, 1, 6, 5, 9, 1, 3, 5, 13, 3, 4, 13, 10, 1, 8, 12, 11, 5, 11, 2, 13, 7, 12, 7, 10, 5, 13, 8, 4, 3, 11, 4, 8, 6, 8, 13, 8, 10, 1, 3, 8, 6, 2, 9, 6, 1, 6, 13, 2, 13, 6, 11, 7, 8, 5, 1, 7, 7, 7, 7, 4, 1, 1, 1, 8, 3, 5, 5, 2, 11, 11, 3, 12, 6, 5, 11, 6, 5, 13, 12, 13, 5, 7, 6, 10, 9, 4, 11, 1, 5, 4, 7, 13, 4, 6, 13, 11, 14, 13, 11, 5, 7, 12, 6, 7, 2, 7, 4, 8, 10, 6, 4, 7, 12, 11, 11, 4, 9, 10, 12, 3, 5, 4, 5, 2, 9, 7, 7, 8, 2, 5, 9, 5, 5, 1, 4, 12, 6, 8, 8, 4, 7, 10, 12, 15, 4, 1, 2, 5, 9, 1, 9, 12, 2, 3, 8, 10, 7, 3, 4, 10, 1, 11, 3, 4, 5, 4, 9, 14, 4, 7, 5, 1, 6, 4, 6, 1, 3, 12, 5, 6, 10, 6, 10, 8, 13, 4, 1, 1, 11, 5, 10, 13, 12, 8, 13, 3, 11, 11, 10, 2, 3, 1, 5, 9, 2, 2, 6, 4, 9, 10, 12, 2, 6, 2, 6, 13, 2, 5, 1, 11, 2, 3, 13, 1, 7, 5, 5, 1, 9, 12, 13, 9, 12, 4, 10, 6, 8, 6, 2, 19, 2, 8, 4, 5, 8, 5, 8, 6, 8, 1, 4, 11, 10, 3, 6, 3, 8, 11, 4, 7, 11, 8, 11, 13, 7, 10, 7, 3, 3, 7, 20, 2, 5, 9, 2, 6, 8, 7, 12, 8, 6, 12, 7, 8, 12, 8, 2, 9, 11, 3, 10, 1, 11, 10, 5, 5, 2, 4, 11, 8, 6, 9, 1, 13, 12, 4, 3, 8, 4, 5, 5, 13, 9, 11, 4, 7, 6, 6, 4, 4, 5, 5, 12, 6, 13, 6, 6, 4, 1, 13, 13, 6, 3, 8, 13, 3, 11, 12, 13, 16, 11, 2, 12, 4, 5, 8, 11, 4, 10, 1, 7, 13, 4, 2, 11, 10, 9, 2, 5, 1, 4, 9, 2, 13, 6, 11, 4, 2, 7, 8, 6, 13, 7, 8, 8, 11, 11, 10, 13, 3, 2, 5, 8, 4, 8, 10, 1, 3, 8, 13, 11, 6, 6, 5, 1, 9, 9, 9, 1, 20, 12, 1, 1, 1, 4, 1, 1, 10, 10, 3, 2, 2, 1, 11, 8, 1, 11, 6, 2, 11, 5, 8, 13, 13, 6, 13, 7, 3, 2, 1, 9, 6, 8, 8, 3, 2, 4, 11, 12, 7, 10, 4, 10, 11, 12, 6, 16, 5, 7, 9, 6, 1, 12, 9, 4, 8, 2, 6, 5, 10, 9, 2, 10, 5, 2, 6, 13, 7, 1, 1, 10, 12, 5, 8, 11, 5, 4, 13, 3, 2, 11, 12, 6, 1, 5, 4, 4, 8, 8, 19, 2, 11, 9, 11, 10, 2, 9, 6, 1, 12, 4, 7, 5, 12, 7, 13, 6, 6, 10, 8, 10, 13, 7, 20, 13, 9, 1, 8, 10, 8, 8, 12, 3, 2, 3, 7, 3, 4, 9, 4, 6, 14, 2, 12, 7, 6, 17, 12, 3, 3, 5, 17, 12, 4, 5, 1, 3, 11, 12, 6, 2, 7, 19, 8, 2, 16, 7, 3, 5, 4, 7, 6, 6, 2, 9, 8, 3, 1, 12, 3, 9, 10, 19, 13, 13, 5, 7, 6, 9, 10, 10, 4, 4, 11, 12, 8, 9, 1, 7, 8, 13, 11, 9, 2, 13, 4, 10, 13, 11, 7, 8, 6, 8, 5, 4, 4, 8, 8, 8, 2, 1, 2, 9, 3, 1, 7, 11, 12, 6, 3, 7, 2, 8, 9, 9, 11, 7, 9, 6, 10, 3, 12, 13, 4, 12, 6, 9, 4, 8, 7, 12, 2, 12, 4, 11, 1, 2, 6, 2, 4, 3, 10, 2, 8, 4, 2, 13, 11, 3, 8, 6, 8, 6, 7, 11, 9, 6, 4, 9, 4, 8, 3, 5, 18, 4, 8, 3, 1, 1, 13, 1, 1, 6, 9, 8, 13, 6, 10, 8, 6, 5, 11, 1, 13, 10, 15, 10, 7, 13, 4, 7, 1, 3, 6, 8, 2, 1, 13, 7, 3, 7, 3, 5, 3, 4, 5, 5, 19, 12, 12, 4, 10, 9, 9, 7, 10, 9, 4, 1, 3, 12, 12, 3, 3, 4, 5, 1, 12, 3, 6, 16, 6, 4, 10, 12, 2, 9, 6, 2, 3, 3, 11, 8, 1, 3, 9, 15, 10, 2, 11, 5, 1, 6, 5, 4, 4, 5, 10, 2, 8, 16, 3, 2, 7, 13, 11, 4, 4, 1, 1, 2, 5, 11, 6, 9, 4, 11, 2, 9, 12, 4, 17, 11, 8, 4, 13, 1, 9, 4, 13, 9, 8, 10, 13, 3, 1, 12, 6, 6, 13, 10, 8, 1, 8, 13, 4, 16, 4, 15, 9, 9, 1, 7, 8, 7, 2, 2, 6, 1, 3, 20, 2, 13, 7, 10, 2, 5, 13, 12, 10, 12, 13, 13, 7, 13, 4, 6, 11, 3, 5, 10, 1, 12, 11, 10, 20, 2, 7, 5, 7, 6, 1, 17, 13, 10, 8, 12, 11, 2, 9, 1, 5, 7, 7, 7, 10, 11, 7, 3, 5, 16, 9, 4, 3, 2, 2, 7, 8, 9, 8, 12, 7, 6, 12, 11, 7, 3}
Returns: {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 45, 45, 45, 45, 45, 47, 47, 47, 47, 47, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 52, 52, 52, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 75, 75, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 88, 88, 88, 88, 88, 88, 88, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90 }
{20, 12, 12, 19, 16, 19, 17, 17, 11, 16, 17, 9, 14, 18, 18, 12, 4, 18, 18, 11, 20, 12, 14, 18, 11, 19, 17, 18, 19, 18, 10, 10, 20, 19, 11, 19, 19, 15, 13, 20, 13, 13, 15, 7, 15, 17, 20, 15, 12, 10, 20, 18, 14, 20, 7, 13, 6, 19, 17, 4, 19, 19, 17, 3, 11, 16, 2, 10, 11, 13, 11, 17, 3, 11, 13, 11, 12, 19, 15, 6, 13, 15, 17, 19, 16, 11, 16, 20, 15, 11, 11, 15, 15}
{3, 2, 3, 6, 10, 10, 8, 3, 9, 5, 5, 2, 6, 8, 10, 2, 7, 8, 8, 5, 6, 9, 8, 4, 7, 3, 1, 4, 2, 1, 7, 2, 2, 8, 1, 3, 3, 5, 1, 7, 7, 3, 2, 1, 7, 4, 1, 8, 8, 7, 1, 16, 9, 1, 5, 1, 4, 1, 7, 6, 2, 7, 2, 6, 8, 9, 9, 10, 7, 2, 10, 6, 3, 5, 10, 7, 10, 8, 4, 6, 10, 2, 10, 4, 8, 8, 10, 7, 10, 6, 1, 4, 1, 6, 4, 3, 7, 8, 8, 6, 6, 5, 3, 2, 6, 9, 1, 2, 2, 5, 5, 10, 6, 10, 6, 8, 8, 1, 9, 1, 9, 2, 5, 5, 4, 8, 2, 7, 2, 8, 1, 9, 5, 2, 5, 2, 10, 2, 5, 2, 2, 5, 4, 5, 10, 1, 6, 1, 9, 6, 6, 7, 2, 1, 3, 9, 9, 1, 3, 2, 1, 4, 5, 6, 1, 3, 4, 1, 7, 9, 3, 9, 4, 2, 8, 5, 15, 15, 1, 7, 7, 10, 5, 10, 3, 3, 5, 6, 6, 4, 10, 10, 6, 5, 3, 7, 3, 2, 5, 9, 7, 1, 1, 6, 3, 10, 7, 4, 1, 1, 5, 2, 10, 5, 7, 4, 8, 4, 8, 2, 1, 8, 9, 2, 10, 4, 9, 10, 2, 10, 5, 8, 8, 10, 5, 2, 4, 3, 4, 5, 1, 8, 4, 10, 8, 5, 6, 1, 10, 7, 1, 6, 3, 6, 6, 10, 6, 6, 9, 7, 8, 3, 2, 10, 3, 4, 3, 3, 1, 2, 9, 9, 2, 8, 4, 3, 2, 10, 9, 2, 3, 5, 3, 10, 8, 6, 7, 10, 5, 10, 5, 1, 10, 6, 10, 8, 4, 1, 8, 3, 5, 5, 4, 9, 2, 1, 8, 5, 2, 9, 9, 2, 2, 9, 5, 3, 3, 9, 7, 2, 6, 7, 6, 2, 1, 5, 6, 10, 8, 8, 1, 9, 6, 6, 9, 4, 14, 5, 6, 4, 3, 3, 6, 3, 10, 2, 5, 6, 5, 7, 1, 10, 8, 8, 8, 5, 4, 3, 7, 6, 3, 7, 9, 9, 1, 5, 5, 9, 3, 10, 6, 9, 6, 1, 3, 5, 2, 9, 4, 2, 8, 3, 2, 9, 1, 2, 9, 9, 9, 4, 6, 8, 2, 3, 6, 10, 4, 1, 9, 1, 6, 8, 9, 9, 10, 3, 1, 3, 4, 3, 2, 4, 2, 5, 1, 6, 2, 8, 9, 9, 5, 1, 9, 7, 5, 6, 4, 1, 6, 10, 1, 9, 10, 10, 10, 3, 1, 4, 8, 8, 2, 1, 5, 4, 10, 9, 2, 8, 6, 2, 19, 1, 4, 6, 9, 3, 10, 9, 4, 5, 1, 4, 3, 8, 6, 16, 2, 2, 3, 10, 6, 8, 4, 2, 2, 3, 1, 5, 1, 1, 2, 8, 4, 2, 2, 10, 1, 8, 3, 2, 8, 10, 8, 7, 4, 16, 1, 1, 8, 5, 2, 5, 7, 10, 1, 2, 8, 7, 4, 8, 3, 2, 5, 7, 10, 7, 1, 6, 9, 6, 3, 7, 1, 4, 9, 8, 4, 7, 4, 1, 10, 10, 1, 3, 10, 8, 2, 3, 3, 7, 7, 3, 9, 1, 6, 4, 2, 5, 1, 6, 1, 6, 7, 5, 8, 5, 8, 2, 8, 3, 16, 6, 13, 3, 6, 2, 10, 1, 2, 7, 9, 2, 20, 8, 5, 9, 4, 2, 7, 10, 4, 10, 5, 6, 9, 4, 9, 3, 9, 6, 11, 8, 6, 8, 9, 1, 9, 3, 8, 6, 3, 9, 6, 1, 6, 9, 5, 6, 5, 10, 5, 2, 8, 5, 1, 2, 2, 8, 2, 3, 4, 2, 2, 1, 5, 6, 6, 5, 5, 4, 9, 6, 5, 6, 6, 8, 9, 6, 3, 8, 1, 1, 3, 8, 3, 1, 4, 7, 8, 7, 4, 4, 10, 4, 10, 5, 9, 4, 5, 2, 3, 8, 2, 3, 10, 1, 7, 9, 7, 9, 8, 4, 9, 10, 2, 6, 10, 4, 2, 5, 9, 5, 3, 3, 6, 5, 5, 7, 9, 9, 4, 10, 6, 4, 10, 8, 10, 10, 9, 1, 2, 6, 5, 5, 1, 7, 3, 4, 4, 1, 9, 2, 7, 6, 10, 6, 1, 7, 6, 10, 10, 5, 7, 1, 5, 3, 1, 2, 7, 1, 3, 5, 7, 13, 4, 7, 10, 9, 7, 7, 1, 5, 9, 3, 5, 3, 9, 5, 9, 1, 1, 10, 8, 3, 8, 7, 9, 10, 3, 9, 5, 3, 9, 8, 10, 5, 5, 10, 5, 10, 6, 4, 9, 8, 5, 2, 7, 3, 9, 8, 6, 1, 9, 1, 7, 3, 6, 7, 2, 3, 9, 5, 7, 6, 8, 2, 6, 3, 8, 9, 7, 3, 7, 6, 4, 4, 7, 5, 2, 6, 8, 1, 2, 5, 3, 10, 1, 8, 9, 1, 8, 5, 6, 3, 2, 5, 3, 2, 10, 7, 10, 8, 6, 3, 4, 9, 2, 7, 9, 7, 4, 5, 8, 4, 6, 1, 6, 2, 4, 9, 6, 4, 9, 8, 3, 9, 4, 1, 8, 2, 5, 7, 10, 3, 8, 5, 9, 10, 4, 8, 7, 8, 4, 6, 3, 10, 8, 3, 3, 10, 9, 3, 4, 7, 6, 2, 4, 7, 2, 4, 3, 4, 6, 4, 8, 7, 2, 2, 2, 5, 7, 1, 5, 6, 3, 4, 20, 10, 7, 8, 3, 5, 7, 7, 2, 4, 2, 3, 1, 3, 1, 2, 8, 1, 10, 9, 8, 6, 7, 7, 15, 10, 9, 2, 9, 1, 3, 10, 7, 8, 9, 4, 4, 8, 1, 3, 2, 1, 2, 8, 9, 4, 10, 6, 1, 10, 8, 2, 5, 10, 5, 6, 6, 5, 10, 8, 7, 6, 9, 4, 7, 2, 6, 1, 3, 7, 7, 6, 5, 9, 6, 8, 8, 4, 2, 10, 3, 1, 1, 6, 5, 9, 1, 8, 7, 10, 8, 10, 9, 10}
Returns: {11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 59, 59, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79 }
{3, 2, 3, 16, 3, 14, 10, 12, 1, 1, 17, 7, 10, 4, 6, 18, 4, 3, 9, 5, 5, 1, 5, 10, 1, 3, 1, 3, 15, 11, 6, 6, 18, 13, 3, 3, 6, 4, 3, 16, 1, 3, 4, 4, 5, 15, 4, 13, 2, 14, 12, 12, 3, 14, 2, 3, 6, 18, 13, 3, 3, 1, 6, 4, 6, 4, 1, 10, 4, 11, 9, 5, 14, 4, 4, 4, 20, 3, 4, 4, 5, 17, 19, 2, 18, 4, 19, 5, 6, 4, 15, 16, 4, 9, 6, 9, 2, 19, 3, 11}
{1, 5, 17, 3, 2, 1, 4, 2, 4, 3, 1, 3, 2, 5, 6, 3, 3, 3, 5, 4, 4, 2, 6, 4, 5, 6, 11, 2, 1, 1, 16, 16, 1, 6, 12, 2, 6, 3, 1, 10, 1, 2, 4, 3, 2, 4, 6, 1, 2, 2, 5, 3, 3, 2, 4, 8, 2, 19, 6, 1, 6, 6, 1, 4, 5, 2, 3, 4, 2, 5, 2, 2, 4, 3, 6, 3, 5, 1, 5, 2, 2, 2, 6, 5, 6, 6, 4, 5, 1, 6, 1, 6, 4, 6, 4, 6, 5, 6, 6, 2, 3, 20, 2, 4, 3, 1, 4, 5, 5, 5, 6, 2, 4, 5, 2, 6, 5, 3, 2, 4, 9, 4, 3, 5, 13, 4, 5, 3, 4, 1, 2, 1, 1, 6, 6, 6, 3, 5, 1, 1, 3, 3, 1, 1, 2, 6, 1, 3, 1, 3, 3, 5, 2, 2, 4, 6, 4, 2, 3, 4, 5, 1, 4, 4, 6, 3, 6, 6, 2, 3, 3, 10, 6, 4, 6, 1, 6, 1, 2, 1, 3, 1, 6, 4, 2, 6, 6, 2, 4, 5, 5, 1, 3, 3, 5, 6, 5, 1, 2, 1, 2, 2, 6, 4, 1, 3, 5, 2, 1, 3, 2, 2, 3, 3, 2, 3, 12, 3, 5, 3, 2, 2, 1, 5, 6, 2, 5, 5, 5, 6, 6, 1, 6, 1, 5, 3, 2, 3, 6, 2, 2, 2, 10, 4, 7, 6, 1, 2, 1, 13, 4, 3, 6, 6, 5, 6, 5, 6, 12, 5, 5, 5, 1, 3, 2, 1, 3, 2, 14, 18, 6, 1, 1, 5, 2, 1, 6, 5, 4, 4, 4, 1, 3, 5, 2, 1, 4, 5, 5, 4, 5, 3, 6, 2, 1, 2, 2, 4, 15, 2, 4, 2, 2, 2, 3, 1, 4, 4, 2, 3, 3, 3, 2, 5, 15, 3, 13, 6, 3, 1, 3, 5, 2, 4, 5, 2, 6, 2, 2, 6, 2, 14, 20, 1, 5, 2, 6, 5, 1, 3, 3, 14, 3, 1, 6, 6, 5, 3, 6, 4, 3, 3, 5, 1, 1, 2, 17, 5, 4, 3, 4, 6, 5, 1, 3, 2, 1, 6, 2, 4, 1, 3, 4, 2, 6, 1, 4, 1, 2, 5, 3, 12, 4, 6, 5, 2, 6, 15, 5, 3, 1, 10, 3, 2, 4, 5, 5, 2, 5, 3, 5, 6, 4, 5, 1, 5, 2, 3, 5, 1, 5, 6, 5, 4, 6, 2, 1, 3, 3, 2, 17, 6, 4, 6, 4, 14, 1, 2, 3, 3, 2, 3, 1, 2, 5, 5, 4, 3, 6, 13, 4, 3, 2, 6, 6, 5, 2, 2, 6, 2, 1, 5, 5, 3, 6, 5, 5, 6, 5, 5, 6, 11, 2, 3, 1, 5, 2, 4, 2, 1, 4, 6, 3, 4, 4, 3, 4, 5, 3, 6, 3, 5, 6, 3, 3, 2, 5, 4, 4, 16, 6, 10, 3, 3, 3, 2, 3, 3, 5, 5, 1, 3, 3, 2, 6, 5, 5, 5, 6, 5, 1, 1, 4, 15, 6, 6, 4, 1, 5, 6, 3, 6, 5, 5, 6, 3, 5, 5, 2, 3, 6, 2, 3, 3, 6, 5, 6, 4, 2, 4, 5, 2, 4, 6, 20, 4, 17, 5, 4, 4, 4, 3, 6, 5, 7, 9, 4, 2, 6, 1, 3, 6, 4, 3, 19, 6, 13, 5, 4, 5, 2, 2, 1, 3, 1, 5, 4, 4, 4, 2, 2, 1, 2, 1, 2, 3, 1, 3, 5, 2, 5, 8, 1, 2, 5, 3, 1, 2, 5, 6, 19, 3, 1, 2, 3, 3, 5, 3, 2, 5, 6, 4, 2, 1, 5, 5, 1, 3, 6, 3, 2, 5, 2, 4, 2, 9, 4, 3, 3, 2, 2, 4, 3, 2, 6, 5, 6, 5, 17, 1, 5, 2, 4, 4, 6, 6, 1, 5, 5, 2, 2, 2, 6, 1, 4, 2, 5, 5, 3, 6, 14, 4, 4, 2, 5, 4, 6, 5, 4, 4, 1, 3, 5, 5, 6, 6, 6, 1, 4, 3, 2, 6, 5, 3, 3, 2, 3, 3, 2, 5, 4, 1, 3, 2, 6, 6, 1, 2, 4, 1, 5, 5, 3, 5, 7, 2, 1, 6, 3, 3, 6, 3, 2, 6, 4, 10, 1, 1, 8, 5, 6, 10, 3, 3, 6, 2, 4, 5, 3, 6, 2, 5, 6, 4, 5, 1, 8, 4, 5, 6, 6, 3, 1, 5, 6, 6, 2, 1, 1, 1, 5, 1, 1, 4, 12, 3, 6, 5, 2, 3, 5, 13, 1, 6, 3, 2, 3, 3, 6, 6, 16, 1, 5, 3, 11, 2, 6, 1, 6, 4, 19, 4, 4, 5, 2, 5, 3, 5, 6, 3, 5, 2, 3, 4, 1, 1, 6, 1, 4, 5, 2, 1, 3, 1, 3, 6, 3, 3, 10, 5, 6, 6, 3, 3, 6, 6, 1, 2, 5, 3, 1, 3, 4, 5, 5, 6, 3, 1, 17, 1, 3, 5, 3, 2, 3, 5, 5, 3, 1, 3, 2, 1, 5, 1, 5, 3, 5, 1, 1, 4, 1, 2, 6, 6, 3, 1, 5, 3, 2, 6, 4, 2, 1, 6, 2, 3, 18, 6, 6, 5, 6, 4, 1, 2, 1, 5, 1, 5, 2, 3, 3, 3, 4, 3, 4, 6, 6, 2, 6, 6, 12, 6, 2, 4, 3, 2, 2, 3, 6, 3, 1, 4, 4, 2, 3, 3, 3, 2, 5, 5, 1, 3, 2, 1, 5, 3, 4, 5, 2, 5, 2, 6, 1, 5, 1, 6, 2, 3, 5, 6, 5, 6, 2, 1, 1, 4, 5, 5, 5, 6, 5, 3, 5, 2, 3, 6, 3, 7, 3, 5, 5, 6, 2, 1, 6, 8, 5, 4, 3, 6, 3, 6, 6, 6, 6, 3, 3, 5, 1, 5, 2, 1, 3, 6, 1, 6, 4, 6, 4, 4, 1, 1, 3, 4, 1, 6, 4, 2, 4, 5, 3}
Returns: {0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 8, 8, 8, 9, 9, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 24, 24, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 46, 46, 46, 46, 46, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61, 62, 63, 63, 63, 63, 63, 63, 63, 63, 63, 64, 64, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 66, 66, 66, 66, 66, 66, 66, 66, 66, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 77, 77, 77, 78, 78, 78, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 83, 83, 83, 83, 83, 83, 83, 85, 85, 85, 85, 85, 85, 85, 85, 85, 87, 87, 87, 87, 88, 88, 88, 88, 88, 88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98 }
{13, 8, 20, 17, 20, 5, 15, 13, 10, 20, 13, 19, 11, 20, 10, 19, 16, 20, 15, 12, 20, 18, 20, 11, 20, 20, 20, 19, 16, 9, 5, 19, 11, 18, 19, 5, 20, 19, 20, 20, 10, 20, 20, 19, 20, 10, 20, 13, 20, 11, 19, 20, 6, 19, 17, 20, 16, 13, 19, 5, 20, 20, 20, 9, 19, 19, 20, 19, 19, 19, 1, 4, 19, 20, 20, 15, 19, 11, 19, 4, 20, 12, 15, 5, 19, 8, 19, 20, 19, 14}
{1, 8, 18, 13, 7, 17, 14, 1, 18, 3, 4, 16, 14, 10, 9, 10, 20, 9, 6, 4, 1, 2, 1, 9, 5, 4, 11, 13, 10, 18, 12, 6, 15, 14, 17, 18, 17, 11, 7, 7, 6, 3, 17, 17, 7, 20, 18, 6, 2, 7, 4, 4, 11, 18, 13, 7, 14, 3, 6, 3, 3, 10, 13, 3, 11, 16, 18, 17, 18, 11, 16, 3, 19, 18, 18, 14, 10, 17, 8, 15, 18, 12, 3, 15, 4, 7, 2, 8, 11, 1, 19, 20, 13, 19, 5, 12, 17, 15, 12, 7, 8, 1, 3, 7, 10, 3, 16, 16, 9, 2, 16, 15, 11, 15, 6, 17, 5, 16, 16, 11, 12, 8, 13, 6, 3, 2, 15, 11, 8, 18, 11, 11, 18, 18, 17, 16, 11, 8, 18, 19, 18, 11, 2, 4, 18, 3, 10, 3, 16, 2, 15, 3, 1, 5, 14, 18, 4, 12, 9, 7, 12, 5, 10, 13, 12, 15, 7, 17, 11, 15, 3, 10, 6, 20, 2, 8, 4, 14, 9, 18, 4, 14, 17, 18, 3, 9, 10, 2, 14, 10, 10, 11, 15, 3, 11, 9, 3, 12, 16, 4, 16, 16, 3, 15, 2, 15, 17, 15, 14, 12, 12, 14, 4, 15, 16, 11, 17, 2, 7, 16, 8, 13, 16, 11, 11, 9, 10, 3, 19, 10, 13, 12, 10, 11, 19, 7, 7, 1, 8, 17, 6, 9, 20, 13, 1, 3, 8, 3, 16, 12, 5, 4, 6, 5, 1, 4, 17, 18, 8, 5, 9, 7, 2, 5, 10, 8, 2, 3, 2, 7, 6, 10, 12, 16, 15, 6, 15, 4, 12, 18, 14, 5, 1, 13, 1, 18, 18, 12, 13, 18, 11, 16, 12, 7, 6, 3, 18, 16, 5, 2, 9, 15, 14, 10, 4, 1, 17, 8, 10, 9, 5, 9, 5, 3, 8, 1, 11, 1, 13, 10, 2, 17, 17, 12, 19, 2, 11, 7, 16, 18, 18, 5, 1, 7, 12, 6, 18, 18, 14, 8, 9, 9, 17, 12, 4, 19, 14, 4, 16, 1, 12, 7, 18, 16, 11, 4, 2, 1, 10, 2, 8, 13, 3, 7, 5, 19, 19, 2, 20, 5, 13, 16, 8, 14, 1, 1, 6, 15, 9, 10, 6, 3, 5, 3, 7, 14, 18, 16, 12, 13, 16, 20, 13, 15, 16, 3, 4, 1, 19, 7, 7, 9, 15, 5, 20, 7, 12, 3, 10, 8, 10, 11, 17, 3, 2, 3, 10, 6, 5, 7, 3, 10, 7, 12, 10, 4, 8, 16, 16, 20, 2, 2, 9, 9, 2, 12, 13, 2, 5, 11, 10, 2, 8, 1, 12, 18, 18, 9, 13, 10, 15, 17, 10, 5, 10, 12, 14, 8, 12, 17, 2, 11, 10, 20, 14, 12, 1, 10, 3, 14, 4, 4, 8, 18, 6, 8, 10, 6, 14, 1, 6, 14, 18, 12, 4, 10, 18, 4, 17, 16, 6, 3, 13, 6, 11, 18, 17, 7, 4, 5, 14, 6, 10, 7, 1, 13, 10, 6, 7, 2, 3, 15, 9, 18, 6, 1, 18, 9, 17, 17, 6, 6, 14, 1, 16, 7, 15, 13, 10, 12, 10, 6, 7, 6, 15, 3, 14, 16, 5, 8, 3, 3, 17, 7, 3, 11, 9, 18, 7, 6, 6, 7, 2, 8, 10, 4, 6, 2, 16, 11, 10, 3, 9, 10, 20, 1, 14, 18, 6, 11, 12, 5, 3, 16, 2, 18, 6, 18, 5, 11, 2, 3, 5, 5, 2, 16, 6, 17, 2, 3, 1, 3, 17, 7, 2, 9, 20, 16, 3, 20, 3, 15, 7, 4, 13, 13, 9, 17, 11, 3, 5, 13, 17, 5, 14, 12, 4, 8, 3, 18, 13, 20, 8, 11, 4, 9, 7, 7, 12, 16, 19, 6, 11, 16, 7, 6, 19, 9, 18, 8, 16, 15, 16, 13, 17, 12, 11, 10, 12, 3, 5, 5, 13, 3, 14, 4, 12, 6, 17, 9, 5, 16, 17, 4, 1, 13, 5, 1, 1, 1, 17, 1, 8, 13, 15, 18, 14, 1, 6, 6, 7, 10, 9, 11, 8, 19, 15, 3, 12, 12, 5, 4, 4, 6, 11, 13, 17, 14, 13, 7, 9, 17, 14, 17, 3, 6, 4, 13, 19, 7, 4, 5, 3, 16, 12, 11, 5, 5, 16, 16, 2, 4, 14, 16, 6, 7, 9, 3, 18, 12, 3, 17, 15, 14, 17, 18, 7, 11, 14, 2, 5, 5, 6, 4, 18, 9, 15, 15, 9, 7, 1, 17, 3, 11, 4, 11, 17, 6, 10, 5, 8, 12, 10, 6, 15, 13, 6, 6, 15, 6, 9, 13, 12, 2, 5, 9, 3, 3, 7, 10, 12, 17, 8, 6, 15, 14, 3, 11, 5, 11, 11, 15, 3, 5, 5, 11, 16, 8, 9, 13, 10, 6, 9, 2, 14, 13, 1, 11, 9, 19, 11, 5, 10, 12, 19, 20, 11, 6, 10, 6, 15, 11, 18, 10, 12, 2, 15, 3, 2, 1, 15, 8, 6, 6, 2, 3, 8, 9, 16, 15, 6, 4, 13, 9, 8, 13, 1, 19, 4, 10, 6, 18, 15, 12, 2, 13, 2, 8, 18, 8, 16, 13, 20, 6, 4, 5, 10, 15, 14, 11, 3, 6, 10, 16, 8, 19, 14, 12, 9, 10, 16, 4, 3, 7, 4, 13, 6, 16, 13, 14, 2, 14, 10, 8, 4, 15, 17, 9, 11, 15, 12, 9, 19, 19, 4, 2, 18, 18, 9, 12, 13, 17, 10, 6, 6, 10, 20, 7, 17, 17, 11, 3, 14, 5, 8, 16, 2, 2, 20, 17, 16, 5, 12, 11, 14, 10, 6, 9, 4, 14, 4, 9, 15, 12, 3, 1, 18, 13, 12, 9, 14, 15, 8, 5, 16, 6, 11, 6, 5, 13, 4, 10, 1, 3, 4, 20, 9, 4, 17, 11, 10, 1, 7, 15, 19, 10, 1, 10, 11, 4, 8, 12, 14, 12, 10, 7, 14, 17, 17, 7, 4}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 14, 14, 14, 14, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 23, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 47, 47, 47, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 52, 52, 52, 52, 52, 52, 52, 52, 52, 54, 54, 54, 54, 54, 54, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 63, 63, 63, 63, 63, 70, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 81, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 89, 89, 89, 89, 89, 89, 89, 89, 89 }
{6, 9, 11, 19, 9, 3, 19, 1, 7, 9, 4, 8, 8, 9, 18, 3, 11, 8, 6, 4, 15, 20, 1, 10, 2, 4, 2, 1, 4, 9, 9, 3, 1, 20, 8, 2, 7, 15, 1, 7, 9, 2, 10, 7, 5, 6, 1, 9, 10, 10, 7, 4, 1, 3, 9, 7, 5, 4, 5, 7, 7, 9, 5, 6, 2, 3, 6, 4, 8, 3, 8, 11, 2, 9, 10, 9, 17, 19, 10, 7, 2, 3, 9, 6, 9, 1, 1, 6, 6, 18, 6, 5}
{5, 4, 1, 10, 8, 2, 2, 2, 10, 7, 4, 7, 10, 10, 2, 3, 8, 2, 6, 15, 8, 8, 1, 9, 3, 4, 9, 10, 7, 10, 5, 5, 4, 5, 8, 9, 10, 2, 9, 6, 5, 17, 4, 2, 1, 6, 3, 2, 10, 5, 2, 10, 3, 14, 6, 9, 2, 4, 5, 10, 4, 10, 3, 5, 4, 6, 3, 5, 12, 8, 3, 4, 9, 6, 10, 2, 8, 9, 6, 5, 10, 20, 2, 16, 20, 7, 9, 20, 4, 2, 9, 2, 1, 9, 2, 7, 5, 1, 5, 6, 18, 8, 1, 8, 5, 16, 10, 13, 9, 8, 6, 7, 2, 8, 10, 4, 5, 9, 9, 7, 1, 9, 3, 7, 8, 2, 10, 9, 7, 3, 2, 14, 1, 3, 3, 1, 5, 10, 1, 5, 1, 6, 7, 5, 8, 12, 8, 2, 9, 6, 3, 5, 4, 10, 6, 8, 9, 8, 1, 5, 7, 1, 9, 2, 3, 7, 9, 5, 4, 8, 8, 17, 10, 10, 4, 14, 5, 3, 4, 7, 2, 2, 6, 6, 2, 3, 16, 6, 10, 4, 3, 5, 7, 8, 8, 10, 4, 10, 9, 4, 11, 9, 10, 9, 9, 9, 4, 4, 1, 3, 3, 6, 8, 5, 8, 6, 1, 8, 8, 1, 6, 10, 8, 4, 6, 2, 4, 9, 6, 9, 10, 3, 4, 6, 4, 6, 8, 7, 7, 2, 4, 3, 1, 5, 9, 9, 9, 1, 6, 3, 7, 8, 8, 7, 1, 5, 9, 3, 5, 5, 9, 3, 10, 9, 1, 2, 1, 1, 4, 1, 2, 10, 8, 8, 5, 6, 8, 3, 7, 1, 14, 7, 10, 5, 6, 1, 6, 3, 9, 1, 10, 6, 1, 8, 6, 7, 8, 17, 3, 1, 10, 7, 9, 10, 4, 4, 6, 8, 5, 8, 3, 5, 10, 6, 6, 8, 19, 7, 10, 13, 5, 9, 7, 10, 4, 7, 9, 3, 3, 8, 1, 10, 8, 1, 2, 4, 7, 9, 10, 13, 2, 1, 7, 4, 5, 7, 6, 5, 4, 9, 6, 9, 13, 17, 7, 3, 9, 4, 8, 2, 8, 9, 3, 2, 6, 9, 5, 6, 10, 4, 4, 9, 20, 5, 14, 9, 4, 6, 2, 16, 9, 5, 5, 8, 6, 7, 4, 4, 6, 17, 3, 5, 9, 9, 10, 4, 5, 7, 6, 10, 1, 12, 3, 14, 7, 5, 10, 6, 7, 4, 6, 2, 6, 3, 5, 8, 2, 12, 10, 6, 13, 2, 3, 10, 9, 7, 7, 7, 9, 8, 2, 3, 10, 17, 9, 10, 8, 2, 7, 16, 1, 6, 7, 2, 1, 6, 2, 1, 10, 1, 6, 5, 10, 10, 5, 1, 11, 9, 2, 1, 4, 10, 7, 6, 6, 10, 9, 10, 4, 6, 3, 8, 10, 1, 2, 11, 3, 1, 5, 9, 10, 10, 8, 8, 10, 4, 19, 1, 3, 5, 9, 9, 4, 2, 5, 5, 1, 8, 3, 6, 8, 1, 6, 6, 11, 10, 7, 6, 2, 3, 1, 8, 6, 9, 8, 9, 7, 3, 5, 7, 9, 10, 6, 10, 2, 10, 9, 3, 5, 2, 6, 4, 5, 10, 11, 10, 3, 1, 10, 1, 7, 15, 3, 5, 11, 3, 1, 5, 13, 2, 14, 1, 10, 4, 8, 5, 1, 1, 7, 3, 1, 9, 5, 7, 9, 9, 3, 5, 2, 5, 10, 9, 4, 10, 4, 2, 8, 10, 1, 7, 4, 16, 6, 1, 9, 8, 6, 11, 1, 7, 4, 3, 9, 7, 19, 4, 6, 1, 9, 12, 8, 9, 1, 5, 9, 9, 4, 8, 8, 9, 7, 8, 9, 6, 8, 2, 7, 3, 17, 3, 8, 9, 4, 2, 9, 6, 9, 6, 10, 5, 10, 4, 9, 1, 5, 10, 2, 8, 4, 2, 2, 5, 3, 1, 7, 2, 10, 8, 4, 9, 6, 2, 7, 3, 9, 19, 16, 9, 2, 2, 8, 7, 16, 4, 10, 9, 18, 5, 6, 1, 17, 4, 1, 5, 3, 8, 9, 5, 10, 3, 1, 10, 4, 3, 8, 4, 4, 2, 4, 8, 7, 4, 9, 10, 10, 6, 1, 1, 2, 1, 7, 15, 8, 3, 3, 5, 10, 1, 1, 5, 10, 9, 3, 8, 8, 8, 1, 18, 3, 6, 4, 5, 9, 19, 8, 2, 7, 7, 7, 1, 9, 8, 10, 10, 5, 10, 1, 6, 2, 7, 9, 7, 2, 10, 4, 5, 3, 1, 6, 9, 4, 6, 2, 7, 1, 10, 4, 9, 10, 7, 5, 1, 1, 6, 1, 7, 2, 1, 11, 10, 8, 9, 6, 6, 3, 4, 4, 7, 9, 9, 8, 2, 1, 16, 7, 3, 5, 8, 7, 6, 14, 5, 3, 9, 2, 2, 4, 4, 4, 8, 1, 9, 1, 3, 7, 7, 4, 3, 9, 16, 7, 3, 7, 3, 6, 1, 1, 8, 3, 19, 4, 10, 2, 7, 3, 9, 5, 1, 4, 3, 4, 2, 6, 8, 1, 7, 4, 7, 3, 5, 9, 8, 6, 3, 3, 7, 8, 1, 8, 9, 3, 8, 10, 4, 4, 6, 10, 6, 8, 3, 5, 8, 3, 6, 10, 6, 7, 20, 2, 6, 2, 1, 4, 9, 1, 5, 4, 14, 3, 18, 19, 2, 7, 3, 2, 9, 6, 7, 16, 7, 4, 3, 1, 3, 1, 2, 9, 6, 6, 2, 8, 10, 7, 11, 6, 14, 9, 6, 9, 2, 7, 3, 2, 8, 1, 9, 18, 1, 20, 6, 4, 1, 2, 17, 6, 3, 8, 1, 6, 5, 10, 10, 12, 3, 2, 1, 4, 2, 2, 3, 8, 19, 9, 3, 10, 10, 6, 1, 14, 8, 6, 10, 2, 10, 13, 3, 9, 17, 2, 9, 1, 7, 7, 4, 4, 1, 10, 4, 11, 2, 2, 10, 5, 2, 3, 4, 7, 2, 4, 3, 7, 2, 9, 6, 18, 8, 4, 2, 10, 8, 4, 2, 9, 6, 8, 4, 19, 5, 3, 2}
Returns: {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 38, 38, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 50, 50, 50, 50, 51, 51, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 58, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64, 64, 64, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 67, 67, 67, 67, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 73, 73, 74, 75, 75, 75, 75, 75, 75, 75, 75, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 79, 79, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 81, 81, 82, 82, 82, 82, 82, 83, 83, 83, 83, 83, 83, 83, 83, 83, 84, 84, 84, 84, 84, 84, 84, 84, 84, 85, 85, 85, 85, 85, 85, 85, 86, 86, 86, 86, 86, 86, 87, 87, 87, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91 }
{19, 1, 7, 7, 18, 12, 15, 17, 3, 15, 5, 14, 4, 2, 3, 20, 8, 1, 19, 1, 11, 14, 16, 17, 6, 5, 19, 2, 6, 8, 11, 9, 13, 7, 9, 10, 15, 1, 2, 1, 14, 11, 11, 20, 2, 18, 17, 20, 10, 11, 3, 5, 3, 4, 9, 11, 20, 2, 20, 1, 12, 11, 5, 9, 10, 7, 20, 14, 20, 6, 3, 10, 1, 5, 10, 3, 18, 19, 4, 20, 2, 7, 19, 19, 13, 17, 8, 3, 17, 19, 20, 1, 14}
{14, 14, 1, 8, 3, 4, 9, 15, 7, 14, 12, 7, 16, 8, 10, 3, 7, 8, 16, 7, 3, 2, 16, 4, 9, 10, 12, 14, 8, 13, 4, 4, 3, 5, 8, 7, 10, 11, 18, 8, 10, 5, 16, 5, 7, 13, 12, 20, 5, 13, 1, 11, 10, 4, 2, 9, 16, 2, 4, 17, 3, 10, 6, 20, 11, 8, 3, 11, 3, 7, 1, 17, 18, 6, 12, 4, 4, 20, 13, 7, 6, 16, 8, 4, 19, 16, 5, 13, 4, 9, 6, 19, 5, 9, 4, 9, 5, 6, 10, 16, 15, 17, 11, 5, 3, 18, 16, 12, 10, 4, 9, 1, 18, 10, 4, 20, 5, 20, 11, 11, 16, 8, 8, 7, 8, 18, 16, 16, 16, 16, 18, 19, 8, 2, 3, 13, 20, 3, 13, 19, 12, 8, 1, 15, 1, 16, 5, 2, 18, 13, 7, 8, 2, 1, 17, 8, 6, 15, 1, 16, 17, 7, 18, 19, 4, 3, 2, 16, 2, 9, 7, 7, 10, 12, 20, 9, 5, 9, 1, 20, 12, 1, 18, 14, 3, 6, 13, 18, 9, 19, 20, 14, 12, 14, 12, 16, 16, 4, 6, 10, 11, 1, 9, 1, 4, 18, 19, 1, 11, 16, 4, 13, 12, 9, 8, 4, 11, 3, 10, 16, 11, 7, 16, 2, 13, 1, 17, 17, 10, 9, 17, 5, 7, 14, 1, 4, 6, 13, 9, 20, 5, 15, 16, 4, 3, 13, 12, 1, 5, 11, 9, 11, 4, 13, 8, 11, 2, 9, 9, 16, 13, 3, 15, 15, 7, 3, 6, 15, 10, 14, 17, 12, 10, 19, 4, 17, 10, 8, 7, 2, 16, 9, 11, 7, 9, 8, 2, 6, 4, 3, 3, 17, 12, 14, 19, 3, 15, 19, 16, 19, 10, 15, 17, 16, 19, 18, 8, 17, 19, 20, 10, 14, 17, 8, 4, 16, 1, 2, 11, 8, 19, 15, 17, 12, 13, 11, 12, 11, 10, 15, 6, 1, 18, 17, 7, 18, 8, 20, 16, 11, 14, 7, 3, 15, 16, 14, 18, 15, 9, 20, 18, 1, 9, 6, 9, 2, 19, 14, 11, 15, 3, 3, 8, 2, 5, 18, 15, 20, 3, 14, 8, 10, 5, 15, 10, 1, 16, 11, 15, 1, 10, 1, 13, 13, 14, 12, 13, 2, 2, 14, 17, 17, 8, 17, 19, 15, 16, 12, 16, 8, 6, 2, 16, 12, 12, 2, 2, 9, 19, 18, 16, 1, 17, 7, 2, 5, 12, 13, 15, 5, 11, 11, 19, 1, 11, 3, 5, 11, 2, 19, 3, 7, 1, 7, 17, 7, 20, 20, 14, 12, 16, 7, 19, 11, 9, 16, 15, 15, 15, 11, 17, 14, 19, 20, 18, 3, 5, 13, 10, 9, 19, 9, 8, 8, 2, 1, 2, 18, 20, 16, 19, 8, 4, 18, 13, 19, 7, 8, 12, 10, 11, 12, 9, 3, 12, 1, 5, 14, 17, 20, 9, 16, 16, 13, 5, 13, 2, 1, 17, 2, 3, 5, 19, 5, 5, 14, 13, 18, 10, 6, 17, 13, 7, 16, 19, 15, 1, 11, 14, 11, 7, 5, 2, 11, 8, 11, 2, 14, 18, 17, 10, 5, 1, 2, 9, 11, 10, 17, 13, 13, 14, 8, 7, 16, 19, 6, 7, 1, 8, 8, 8, 5, 3, 20, 6, 3, 15, 3, 4, 12, 3, 9, 18, 7, 9, 13, 8, 18, 11, 1, 3, 10, 17, 15, 17, 4, 15, 15, 4, 20, 12, 1, 11, 9, 13, 4, 2, 4, 20, 2, 6, 15, 16, 7, 3, 19, 14, 12, 3, 15, 18, 15, 17, 4, 10, 3, 9, 11, 8, 12, 7, 2, 9, 14, 18, 2, 10, 8, 14, 14, 14, 8, 6, 12, 17, 3, 13, 1, 17, 6, 19, 9, 6, 3, 4, 4, 12, 17, 8, 13, 11, 15, 14, 20, 14, 17, 3, 1, 3, 12, 18, 15, 7, 7, 4, 8, 19, 10, 7, 13, 6, 4, 1, 9, 10, 19, 15, 6, 10, 2, 9, 10, 5, 17, 6, 17, 4, 16, 18, 20, 18, 5, 18, 20, 4, 4, 12, 4, 9, 15, 6, 11, 18, 5, 20, 1, 4, 17, 10, 2, 5, 16, 13, 7, 13, 20, 5, 17, 20, 18, 2, 16, 10, 1, 15, 10, 18, 9, 2, 14, 3, 7, 10, 6, 15, 15, 15, 14, 4, 10, 14, 10, 8, 9, 18, 15, 8, 13, 9, 17, 12, 5, 17, 2, 10, 2, 11, 11, 12, 6, 5, 14, 13, 6, 20, 17, 14, 5, 9, 12, 6, 10, 19, 10, 8, 13, 7, 13, 2, 10, 14, 4, 19, 5, 7, 4, 2, 4, 7, 16, 4, 15, 7, 2, 2, 9, 4, 16, 12, 10, 7, 12, 1, 14, 5, 13, 20, 15, 13, 18, 5, 13, 14, 8, 16, 14, 17, 8, 3, 2, 8, 4, 12, 12, 8, 13, 3, 1, 7, 9, 14, 10, 2, 8, 12, 13, 11, 3, 9, 7, 5, 3, 17, 10, 19, 3, 11, 15, 3, 14, 8, 19, 16, 16, 3, 18, 17, 17, 2, 9, 3, 5, 8, 3, 18, 20, 16, 16, 1, 5, 16, 12, 14, 7, 20, 6, 18, 2, 13, 9, 16, 6, 20, 19, 1, 4, 2, 9, 19, 9, 11, 13, 5, 15, 14, 6, 1, 8, 17, 3, 4, 19, 16, 17, 15, 12, 2, 4, 1, 8, 20, 15, 13, 9, 8, 10, 3, 12, 18, 7, 9, 15, 16, 19, 8, 13, 13, 17, 18, 2, 10, 7, 7, 20, 7, 1, 20, 2, 5, 10, 8, 7, 17, 15, 11, 6, 10, 10, 13, 13, 6, 14, 16, 11, 12, 17, 15, 16, 16, 1, 9, 4, 16, 19, 11, 20, 5, 9, 12, 7, 1, 5, 9, 4, 3, 10, 11, 2, 13, 3, 6, 13, 18, 4, 14, 18, 12, 6, 3, 1, 4, 12, 15, 15, 10, 18, 16, 8, 13, 5, 3, 10, 3, 10, 2}
Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 23, 23, 24, 24, 24, 24, 24, 25, 25, 25, 25, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 37, 37, 38, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 41, 42, 42, 42, 42, 42, 42, 42, 44, 44, 44, 44, 44, 44, 44, 44, 45, 45, 46, 46, 46, 46, 46, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 52, 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 55, 55, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 67, 67, 67, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 70, 70, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 74, 74, 74, 74, 74, 74, 74, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 76, 76, 76, 76, 76, 76, 76, 76, 76, 78, 78, 78, 78, 78, 78, 78, 78, 80, 81, 81, 81, 81, 81, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 85, 85, 85, 85, 85, 85, 85, 85, 85, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 88, 88, 88, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 92, 92 }
{3, 5, 3, 10, 7, 19, 3, 15, 1, 17, 16, 11, 17, 13, 19, 8, 16, 15, 18, 17, 18, 18, 12, 8, 9, 9, 19, 20, 3, 7, 9, 19, 16, 5, 15, 7, 15, 12, 1, 7, 20, 17, 4, 8, 19, 5, 17, 10, 13, 19, 15, 1, 20, 12, 12, 16, 20, 5, 9, 17, 13, 4, 14, 12, 13, 12, 20, 14, 9, 17, 6, 17, 4, 16, 20, 15, 9, 7, 20, 16, 12, 17, 13, 14, 2, 10, 13, 16, 16, 8, 8, 2, 7, 11, 17, 9, 7, 3, 2, 18 }
{7, 5, 10, 4, 11, 1, 18, 2, 7, 4, 16, 14, 1, 18, 9, 6, 13, 16, 7, 9, 5, 7, 8, 18, 1, 2, 11, 14, 2, 10, 10, 1, 11, 4, 8, 14, 10, 19, 10, 5, 19, 19, 19, 7, 14, 17, 11, 2, 11, 17, 6, 4, 2, 10, 16, 6, 18, 15, 9, 11, 10, 7, 17, 4, 9, 10, 4, 7, 9, 9, 5, 15, 20, 2, 12, 17, 14, 17, 12, 16, 2, 11, 9, 15, 7, 3, 11, 17, 17, 13, 13, 1, 1, 9, 9, 11, 19, 4, 12, 19, 9, 17, 2, 10, 17, 9, 1, 9, 3, 5, 1, 13, 4, 11, 4, 16, 5, 17, 17, 19, 9, 8, 8, 7, 4, 10, 4, 4, 9, 11, 15, 16, 1, 16, 13, 3, 19, 13, 18, 2, 12, 8, 6, 13, 10, 14, 19, 14, 11, 17, 14, 10, 19, 19, 7, 19, 9, 17, 14, 18, 4, 4, 5, 7, 8, 3, 9, 3, 10, 2, 10, 7, 3, 6, 10, 11, 14, 17, 15, 20, 18, 8, 14, 11, 2, 3, 18, 10, 3, 18, 18, 17, 16, 17, 13, 17, 6, 1, 20, 19, 5, 12, 15, 16, 6, 20, 8, 4, 19, 7, 4, 18, 6, 10, 17, 8, 15, 18, 11, 12, 18, 18, 9, 10, 17, 9, 7, 3, 10, 2, 9, 15, 6, 11, 14, 11, 13, 15, 1, 12, 11, 10, 5, 14, 18, 18, 18, 10, 7, 12, 5, 17, 9, 5, 3, 16, 2, 4, 14, 7, 18, 16, 9, 14, 7, 10, 18, 3, 16, 2, 17, 2, 12, 7, 6, 3, 11, 11, 4, 5, 1, 17, 14, 11, 11, 11, 6, 10, 18, 4, 15, 5, 1, 11, 19, 2, 6, 5, 10, 8, 3, 12, 8, 18, 13, 11, 19, 3, 6, 15, 4, 15, 2, 1, 14, 14, 9, 5, 8, 7, 19, 7, 16, 19, 6, 2, 9, 20, 4, 3, 16, 14, 17, 7, 15, 17, 4, 10, 14, 15, 3, 14, 16, 7, 12, 1, 8, 16, 19, 4, 15, 1, 2, 13, 11, 17, 15, 19, 5, 15, 4, 18, 11, 2, 1, 11, 8, 11, 12, 8, 1, 6, 16, 10, 18, 8, 5, 18, 16, 14, 8, 17, 9, 12, 5, 12, 15, 18, 9, 15, 13, 18, 10, 8, 15, 10, 7, 1, 14, 4, 4, 11, 5, 5, 15, 14, 8, 5, 14, 12, 7, 13, 14, 5, 6, 11, 8, 8, 15, 11, 5, 19, 20, 10, 13, 5, 1, 8, 15, 4, 19, 18, 12, 14, 16, 1, 3, 8, 8, 15, 4, 4, 1, 14, 8, 10, 2, 19, 17, 9, 14, 1, 5, 11, 2, 9, 1, 5, 1, 3, 4, 7, 10, 11, 9, 8, 5, 9, 15, 12, 4, 9, 3, 2, 6, 5, 16, 6, 4, 3, 4, 9, 15, 11, 14, 20, 3, 14, 5, 3, 4, 17, 16, 11, 2, 5, 5, 6, 11, 16, 14, 14, 5, 6, 3, 14, 19, 8, 7, 2, 3, 9, 11, 19, 1, 10, 17, 16, 6, 14, 13, 10, 4, 16, 6, 17, 11, 3, 4, 10, 4, 4, 3, 12, 16, 7, 14, 2, 7, 6, 18, 12, 7, 4, 12, 10, 8, 3, 5, 4, 4, 5, 1, 14, 17, 10, 8, 13, 5, 8, 3, 5, 4, 7, 15, 15, 1, 12, 1, 2, 17, 2, 12, 12, 18, 19, 2, 1, 10, 19, 12, 2, 18, 6, 18, 16, 17, 5, 10, 5, 4, 2, 12, 2, 3, 10, 11, 19, 13, 20, 3, 16, 4, 17, 4, 1, 11, 9, 5, 17, 12, 2, 1, 18, 7, 15, 20, 13, 8, 16, 9, 15, 13, 7, 12, 13, 15, 15, 17, 12, 10, 5, 16, 11, 4, 17, 16, 17, 6, 8, 17, 14, 12, 15, 1, 5, 14, 4, 8, 1, 8, 8, 3, 5, 16, 8, 17, 9, 13, 7, 12, 10, 11, 7, 9, 1, 18, 17, 14, 14, 1, 19, 5, 2, 10, 7, 2, 16, 13, 1, 3, 3, 4, 4, 17, 16, 14, 11, 14, 15, 2, 5, 10, 9, 19, 12, 13, 9, 4, 9, 4, 14, 12, 6, 18, 18, 18, 5, 18, 1, 11, 15, 4, 12, 17, 5, 6, 11, 1, 19, 6, 16, 7, 16, 16, 2, 1, 19, 17, 1, 9, 6, 19, 9, 8, 18, 11, 15, 5, 10, 17, 10, 10, 16, 4, 3, 17, 11, 7, 19, 12, 11, 10, 6, 15, 3, 9, 4, 14, 17, 2, 16, 9, 17, 5, 18, 19, 8, 12, 1, 20, 13, 19, 10, 12, 19, 15, 19, 4, 5, 10, 13, 18, 7, 7, 11, 10, 11, 13, 2, 9, 2, 11, 20, 10, 7, 9, 10, 16, 14, 17, 18, 17, 2, 19, 3, 8, 18, 2, 9, 5, 14, 16, 17, 6, 19, 5, 13, 4, 12, 3, 1, 4, 2, 1, 14, 8, 5, 13, 9, 15, 11, 7, 2, 6, 9, 10, 11, 17, 11, 2, 15, 6, 12, 13, 11, 3, 13, 1, 19, 8, 18, 8, 10, 5, 14, 6, 16, 14, 9, 1, 4, 19, 1, 5, 1, 15, 14, 17, 9, 8, 6, 17, 6, 18, 12, 9, 14, 14, 20, 1, 11, 19, 1, 13, 11, 3, 15, 4, 11, 4, 14, 10, 17, 2, 10, 2, 20, 12, 11, 14, 15, 13, 11, 15, 19, 10, 5, 6, 1, 6, 18, 9, 5, 16, 11, 5, 8, 6, 14, 14, 6, 8, 14, 10, 2, 9, 2, 1, 16, 7, 5, 2, 14, 18, 14, 16, 19, 2, 7, 13, 11, 14, 15, 4, 17, 9, 11, 17, 9, 3, 13, 19, 19, 6, 10, 17, 7, 17, 15, 11, 12, 11, 6, 3, 10, 10, 17, 14, 15, 8, 3, 14, 14, 3, 12, 19, 14, 11, 12, 2, 4, 14, 16, 16, 6, 5, 13, 18, 5, 7, 16, 19, 1, 6, 11, 11, 17, 18, 13 }
Returns: {0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 19, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 28, 28, 28, 28, 28, 28, 29, 29, 29, 30, 32, 32, 32, 32, 32, 32, 32, 32, 33, 34, 34, 34, 34, 34, 34, 35, 35, 35, 36, 36, 36, 37, 37, 37, 37, 37, 37, 38, 38, 38, 39, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 42, 43, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 50, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 55, 55, 55, 55, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 58, 58, 58, 58, 58, 58, 58, 58, 58, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 60, 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 65, 65, 65, 65, 65, 65, 65, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 68, 68, 68, 68, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 70, 70, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 76, 76, 76, 76, 76, 76, 76, 76, 77, 77, 77, 77, 77, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 81, 81, 81, 81, 82, 82, 83, 83, 83, 84, 84, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 91, 91, 91, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 93, 93, 93, 93, 93, 93, 93, 93, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 96, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98 }
{5, 4, 3, 2, 1 }
{1, 1, 2, 1 }
Returns: {4, 4, 4 }