@northwolves
@mathe
本帖或許能達到本論壇精品帖的標準。
理由：題意簡單而明確，小學生都能看懂。但是難度挺大，一般人無法解開。
不過比起評上精品，我更希望有更多朋友能來參與本問題的思考和討論。
四五刀足矣
本帖最后由 northwolves 于 2024-2-29 09:56 编辑
楼主试试有没有可三刀解决的：
Select,#[]>0&&CountDistinct@#==3&]},{n,50}],#[]!={}&]
7 {{2,3,6}}
9 {{1,4,8}}
11 {{2,6,9}}
13 {{3,4,12}}
14 {{4,6,12}}
15 {{2,5,14},{2,10,11}}
17 {{8,9,12}}
18 {{2,8,16}}
19 {{1,6,18},{6,10,15}}
21 {{4,5,20},{4,8,19},{4,13,16},{6,9,18},{8,11,16}}
22 {{4,12,18}}
23 {{3,6,22},{3,14,18},{6,13,18}}
25 {{9,12,20},{12,15,16}}
26 {{6,8,24}}
27 {{2,7,26},{2,10,25},{2,14,23},{3,12,24},{7,14,22}}
28 {{8,12,24}}
29 {{3,16,24},{11,12,24},{12,16,21}}
30 {{4,10,28},{4,20,22}}
31 {{5,6,30},{6,14,27},{6,21,22},{14,18,21}}
33 {{1,8,32},{4,7,32},{4,17,28},{6,18,27},{7,16,28},{8,20,25}}
34 {{16,18,24}}
35 {{1,18,30},{6,10,33},{6,17,30},{10,15,30},{15,18,26}}
36 {{4,16,32}}
37 {{3,8,36},{3,24,28},{8,24,27},{12,21,28}}
38 {{2,12,36},{12,20,30}}
39 {{2,19,34},{2,26,29},{9,12,36},{10,14,35},{13,14,34},{14,22,29},{19,22,26}}
41 {{4,12,39},{4,24,33},{9,24,32},{12,24,31}}
42 {{8,10,40},{8,16,38},{8,26,32},{12,18,36},{16,22,32}}
43 {{2,9,42},{2,18,39},{6,7,42},{9,18,38},{18,25,30}}
44 {{8,24,36}}
45 {{4,28,35},{5,8,44},{5,20,40},{6,15,42},{6,30,33},{8,19,40},{13,16,40},{16,20,37},{20,28,29}}
46 {{6,12,44},{6,28,36},{12,26,36}}
47 {{2,21,42},{6,18,43},{6,27,38},{11,18,42},{18,21,38},{18,27,34}}
49 {{4,9,48},{4,33,36},{9,32,36},{12,24,41},{12,31,36},{14,21,42},{15,24,40},{23,24,36}}
50 {{18,24,40},{24,30,32}}
northwolves 发表于 2024-2-29 09:52
好像不對……我可能要重新發個帖來闡述題意……
要用完所有的紙片，既能拼成兩個正方形，也能拼成三個正方形。
好像你的方案，不能拼成兩個正方形？
本帖最后由 northwolves 于 2024-2-29 12:28 编辑
northwolves 发表于 2024-2-29 12:27
非常精彩！
不過我前面加了限制兩個條件：
一個直線段就是一刀；
走刀的線路不允許交叉，只能相接。
（因為直線段是一刀，則L形算是兩刀）
（不允許交叉，例如「田」字，是正方形横向和縱向各切一刀，如果允許走刀線路交叉，那它就是兩刀。但是如果不允許交叉，那它就要三刀。）
如果沒有這個限制，這個答案確實就是七刀。
因為上述解法，我要新加一個條件：題目中的正方形都必須由至少兩個部份組成。