Non-transitive dice game Those of you who like Numberphile would be familiar with Dr. James Grime, who described a non-transitive dice game on his channel.

The game consists of three 6-faced dice:


Die 1: 3,3,3,3,3,6
Die 2: 2,2,2,5,5,5
Die 3: 1,4,4,4,4,4


Two players each select a die to use. They roll them and the higher die wins, best-of-whatever.

Probabilistically, die 1 beats dies 2 with >50% chance. Similarly, die 2 beats die 3, and, interestingly, die 3 beats die 1.

Write a program taking 1, 2 or 3 as input. This indicates the die the user chooses. The program then choose the die that would beat the user and output the results of 21 rolls, and "Computer/User wins with x points"

Rules


Code-golf, votes as tiebreaker
You must use RNG (or the likes) to actually simulate the dice rolls.
I am not too strict on output format. It's okay as long as you show the dices, somehow separate between the 21 rolls (in a way different from how you separate the dice in the same roll), and output that sentence above.
Input can be stdin, command line argument, from screen, etc.


Example

Input

1


Output

4 3
4 3
4 3
4 3
4 3
4 3
4 3
4 3
4 3
4 6
1 3
4 3
4 3
1 3
4 3
1 3
4 3
4 3
4 3
4 3
4 6
 Computer wins with 16 points


Here, the user chooses die 1 and his rolls are shown on the right column. The program chooses die 3 and beats him.
APL (106 114)

'Computer' 'User'[1+X],'wins with','points',⍨|Z-21×X←11&gt;Z←+/&gt;/⎕←⍉↑{⍵[{?6}¨⍳21]}¨(↓5 6⍴545170074510753⊤⍨18⍴7)[⎕+⍳2]


Explanation:


(↓5 6⍴545170074510753⊤⍨18⍴7)[⎕+⍳2]: The big number is a base-7 representation of the dice. We make a 6x5 matrix containing the values of the dice in the order: 2 3 1 2 3. Ask for user input and add this to the vector 1 2, and select these lines from the matrix. Because the list of dice is shifted, the user now gets the one he selected (on the right) and the computer gets the stronger one. 
{⍵[{?6}¨⍳21]}¨: do 21 rolls for each of these two dice.
⎕←⍉↑: put the rolls in matrix form and output them.
Z←+/&gt;/: get the score of the computer (amount of times the computer's value was higher than the user's)
X←11&gt;Z: set X to whether the user won (if 11 is higher than the computer's score).
'Computer' 'User'[1+X]. X is whether the user won.
'wins with','points',⍨|Z-21×X: Z is the computer's score, so if the computer won display Z, otherwise display 21-Z.