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find combinations of two playing cards when summed equal that value
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| """Find all the combinations of two cards being added | |
| to equal a range of values 2-26, because 2 is the lowest | |
| value that has a combination, and 26 is the highest value | |
| which has a combination. | |
| King 13 | |
| Queen 12 | |
| Jack 11 | |
| Ace 1 | |
| By Lily Seabreeze, thanks to Tom Almquist for helping | |
| brainstorm the maths. | |
| Outputs: | |
| For the #2 there are 6 solutions for x+y with cards | |
| For the #3 there are 32 solutions for x+y with cards | |
| For the #4 there are 38 solutions for x+y with cards | |
| For the #5 there are 64 solutions for x+y with cards | |
| For the #6 there are 70 solutions for x+y with cards | |
| For the #7 there are 96 solutions for x+y with cards | |
| For the #8 there are 102 solutions for x+y with cards | |
| For the #9 there are 128 solutions for x+y with cards | |
| For the #10 there are 134 solutions for x+y with cards | |
| For the #11 there are 160 solutions for x+y with cards | |
| For the #12 there are 166 solutions for x+y with cards | |
| For the #13 there are 192 solutions for x+y with cards | |
| For the #14 there are 198 solutions for x+y with cards | |
| For the #15 there are 192 solutions for x+y with cards | |
| For the #16 there are 166 solutions for x+y with cards | |
| For the #17 there are 160 solutions for x+y with cards | |
| For the #18 there are 134 solutions for x+y with cards | |
| For the #19 there are 128 solutions for x+y with cards | |
| For the #20 there are 102 solutions for x+y with cards | |
| For the #21 there are 96 solutions for x+y with cards | |
| For the #22 there are 70 solutions for x+y with cards | |
| For the #23 there are 64 solutions for x+y with cards | |
| For the #24 there are 38 solutions for x+y with cards | |
| For the #25 there are 32 solutions for x+y with cards | |
| For the #26 there are 6 solutions for x+y with cards | |
| """ | |
| # effectively 1-13 | |
| all_possible_card_values = range(1, 14) | |
| def get_card_combos(number): | |
| combinations = 0 | |
| for x in all_possible_card_values: | |
| for y in all_possible_card_values: | |
| if x + y == number: | |
| if x == y: | |
| combinations += 6 | |
| else: | |
| combinations += 16 | |
| return combinations | |
| # Find all combinations for values 2-20 | |
| for meow in range(2, 27): | |
| solutions = get_card_combos(meow) | |
| print("For the #%d there are %d solutions for x+y with cards" % (meow, solutions)) |
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Looking back at this it's written very inefficiently, better to loop through just once building a counter dictionary where the key is the sum.