A Solitaire Mystery

A Solitaire Mystery

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Transmutation Cheatsheet
By StephENT hawking
Some general tips on not to combine yourself into a corner.
   
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Overview
  • Each number from 1 to 13 appear 4 times in your deck with a total value of 364 (sum from 1-13 x4)
  • The sum from 1 to 26 is 351. this means at the end of the game you will have exactly 13 remainder on the board.
  • At the end of the game you will at the very least use up 39 cards (at least 13 cards from 1-13 and 13 pairs from 14-26 cards), this means you will have >13 cards remaining on the board.
  • At least three 13's are required to make 25 (12+13) and 26 (13+13). similarly at least one 12 is required to make 25 and one ace for 1. Thus you want to minimize the use of these numbers for other purposes.
  • The table below shows the number of combination a number can be made with. The lowest and highest has the least number of combination and 12-14 is the most flexible with at least 7 combinations. Thus make sure the highest numbers are accounted for when combining.
  • I like to dedicate a stack to the highest numbers possible that way I can ensure that those are guaranteed available.
Combination table
Number
Combinations
Single
Pair 1
Pair 2
Pair 3
Pair 4
Pair 5
Pair 6
Pair 7
1
1
1
2
2
2
(1,1)
3
2
3
(1,2)
4
3
4
(1,3)
(2,2)
5
3
5
(1,4)
(2,3)
6
4
6
(1,5)
(2,4)
(3,3)
7
4
7
(1,6)
(2,5)
(3,4)
8
5
8
(1,7)
(2,6)
(3,5)
(4,4)
9
5
9
(1,8)
(2,7)
(3,6)
(4,5)
10
6
10
(1,9)
(2,8)
(3,7)
(4,6)
(5,5)
11
6
11
(1,10)
(2,9)
(3,8)
(4,7)
(5,6)
12
7
12
(1,11)
(2,10)
(3,9)
(4,8)
(5,7)
(6,6)
13
7
13
(1,12)
(2,11)
(3,10)
(4,9)
(5,8)
(6,7)
14
7
(1,13)
(2,12)
(3,11)
(4,10)
(5,9)
(6,8)
(7,7)
15
6
(2,13)
(3,12)
(4,11)
(5,10)
(6,9)
(7,8)
16
6
(3,13)
(4,12)
(5,11)
(6,10)
(7,9)
(8,8)
17
5
(4,13)
(5,12)
(6,11)
(7,10)
(8,9)
18
5
(5,13)
(6,12)
(7,11)
(8,10)
(9,9)
19
4
(6,13)
(7,12)
(8,11)
(9,10)
20
4
(7,13)
(8,12)
(9,11)
(10,10)
21
3
(8,13)
(9,12)
(10,11)
22
3
(9,13)
(10,12)
(11,11)
23
2
(10,13)
(11,12)
24
2
(11,13)
(12,12)
25
1
(12,13)
26
1
(13,13)
1 Comments
Red Mustard 30 Jul @ 11:56am 
The simplest method is to do 1, 1+1, 1+2, 2+2, 2+3, etc.