Состав чисел до 20?

Состав чисел до 20 можно представить в виде всех возможных пар чисел, сумма которых равна каждому числу от 1 до 20. Вот список составов для каждого числа:

1. 1 = 1
2. 2 = 1 + 1, 2
3. 3 = 1 + 2, 3
4. 4 = 1 + 3, 2 + 2, 4
5. 5 = 1 + 4, 2 + 3, 5
6. 6 = 1 + 5, 2 + 4, 3 + 3, 6
7. 7 = 1 + 6, 2 + 5, 3 + 4, 7
8. 8 = 1 + 7, 2 + 6, 3 + 5, 4 + 4, 8
9. 9 = 1 + 8, 2 + 7, 3 + 6, 4 + 5, 9
10. 10 = 1 + 9, 2 + 8, 3 + 7, 4 + 6, 5 + 5, 10
11. 11 = 1 + 10, 2 + 9, 3 + 8, 4 + 7, 5 + 6, 11
12. 12 = 1 + 11, 2 + 10, 3 + 9, 4 + 8, 5 + 7, 6 + 6, 12
13. 13 = 1 + 12, 2 + 11, 3 + 10, 4 + 9, 5 + 8, 6 + 7, 13
14. 14 = 1 + 13, 2 + 12, 3 + 11, 4 + 10, 5 + 9, 6 + 8, 7 + 7, 14
15. 15 = 1 + 14, 2 + 13, 3 + 12, 4 + 11, 5 + 10, 6 + 9, 7 + 8, 15
16. 16 = 1 + 15, 2 + 14, 3 + 13, 4 + 12, 5 + 11, 6 + 10, 7 + 9, 8 + 8, 16
17. 17 = 1 + 16, 2 + 15, 3 + 14, 4 + 13, 5 + 12, 6 + 11, 7 + 10, 8 + 9, 17
18. 18 = 1 + 17, 2 + 16, 3 + 15, 4 + 14, 5 + 13, 6 + 12, 7 + 11, 8 + 10, 9 + 9, 18
19. 19 = 1 + 18, 2 + 17, 3 + 16, 4 + 15, 5 + 14, 6 + 13, 7 + 12, 8 + 11, 9 + 10, 19
20. 20 = 1 + 19, 2 + 18, 3 + 17, 4 + 16, 5 + 15, 6 + 14, 7 + 13, 8 + 12, 9 + 11, 10 + 10, 20

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