Инсайдер писал(а):Из пяти гирь одна должна быть в 10 кг. Какими должны быть остальные гири, чтобы на чашечных весах можно было определить массу грузов от 1 кг до 85 кг?
Было очень интересно, сколько всего решений имеет данная задача.
Ищите свои решения в этом списке:
1 = 1, 7, 10, 21, 63,
2 = 1, 7, 10, 21, 64,
3 = 1, 7, 10, 21, 65,
4 = 1, 7, 10, 22, 59,
5 = 1, 7, 10, 22, 60,
6 = 1, 7, 10, 22, 65,
7 = 1, 7, 10, 22, 66,
8 = 1, 7, 10, 22, 67,
9 = 1, 7, 10, 23, 58,
10 = 1, 7, 10, 23, 59,
11 = 1, 7, 10, 23, 60,
12 = 1, 7, 10, 23, 61,
13 = 1, 7, 10, 23, 62,
14 = 1, 7, 10, 23, 67,
15 = 1, 7, 10, 23, 68,
16 = 1, 7, 10, 23, 69,
17 = 1, 8, 10, 23, 59,
18 = 1, 8, 10, 23, 60,
19 = 1, 8, 10, 23, 61,
20 = 1, 8, 10, 23, 69,
21 = 1, 10, 15, 22, 67,
22 = 1, 10, 15, 23, 68,
23 = 1, 10, 15, 23, 69,
24 = 1, 10, 16, 19, 67,
25 = 1, 10, 16, 23, 69,
26 = 2, 7, 10, 21, 63,
27 = 2, 7, 10, 21, 65,
28 = 2, 7, 10, 23, 59,
29 = 2, 7, 10, 23, 60,
30 = 2, 7, 10, 23, 62,
31 = 2, 7, 10, 23, 67,
32 = 2, 7, 10, 23, 69,
33 = 2, 10, 13, 19, 60,
34 = 2, 10, 16, 19, 67,
35 = 2, 10, 16, 23, 69,
36 = 2, 10, 16, 23, 71,
37 = 3, 6, 10, 21, 63,
38 = 3, 9, 10, 17, 61,
39 = 3, 9, 10, 18, 63,
40 = 3, 9, 10, 21, 60,
41 = 3, 9, 10, 21, 63,
42 = 3, 9, 10, 21, 66,
43 = 3, 9, 10, 21, 69,
44 = 3, 9, 10, 24, 57,
45 = 3, 9, 10, 24, 59,
46 = 3, 9, 10, 24, 60,
47 = 3, 9, 10, 24, 62,
48 = 3, 9, 10, 24, 63,
49 = 3, 9, 10, 24, 65,
50 = 3, 9, 10, 24, 66,
51 = 3, 9, 10, 24, 69,
52 = 3, 9, 10, 24, 72,
53 = 3, 9, 10, 24, 75,
54 = 3, 9, 10, 27, 54,
55 = 3, 9, 10, 27, 55,
56 = 3, 9, 10, 27, 56,
57 = 3, 9, 10, 27, 57,
58 = 3, 9, 10, 27, 58,
59 = 3, 9, 10, 27, 59,
60 = 3, 9, 10, 27, 60,
61 = 3, 9, 10, 27, 61,
62 = 3, 9, 10, 27, 62,
63 = 3, 9, 10, 27, 63,
64 = 3, 9, 10, 27, 65,
65 = 3, 9, 10, 27, 66,
66 = 3, 9, 10, 27, 68,
67 = 3, 9, 10, 27, 69,
68 = 3, 9, 10, 27, 71,
69 = 3, 9, 10, 27, 72,
70 = 3, 9, 10, 27, 75,
71 = 3, 9, 10, 27, 78,
72 = 3, 9, 10, 27, 81,
73 = 3, 10, 14, 19, 61,
74 = 3, 10, 15, 19, 67,
75 = 3, 10, 15, 24, 69,
76 = 3, 10, 15, 24, 72,
77 = 3, 10, 18, 27, 63,
78 = 3, 10, 18, 27, 71,
79 = 3, 10, 18, 27, 81,
80 = 3, 10, 27, 36, 81,
81 = 4, 9, 10, 21, 59,
82 = 4, 9, 10, 21, 63,
83 = 4, 10, 11, 19, 61,
84 = 4, 10, 11, 23, 55,
85 = 4, 10, 11, 23, 56,
86 = 4, 10, 11, 23, 57,
87 = 4, 10, 11, 23, 58,
88 = 4, 10, 11, 23, 59,
89 = 4, 10, 11, 23, 60,
90 = 4, 10, 11, 23, 61,
91 = 4, 10, 11, 23, 65,
92 = 4, 10, 11, 23, 69,
93 = 4, 10, 12, 21, 67,
94 = 4, 10, 12, 23, 69,
95 = 6, 9, 10, 17, 61,
96 = 6, 9, 10, 21, 63,
97 = 6, 9, 10, 21, 69,
98 = 6, 9, 10, 27, 57,
99 = 6, 9, 10, 27, 59,
100 = 6, 9, 10, 27, 60,
101 = 6, 9, 10, 27, 61,
102 = 6, 9, 10, 27, 62,
103 = 6, 9, 10, 27, 63,
104 = 6, 9, 10, 27, 65,
105 = 6, 9, 10, 27, 66,
106 = 6, 9, 10, 27, 69,
107 = 6, 9, 10, 27, 71,
108 = 6, 9, 10, 27, 72,
109 = 6, 9, 10, 27, 75,
110 = 6, 9, 10, 27, 81,
111 = 6, 10, 13, 18, 67,
112 = 6, 10, 15, 18, 69,
113 = 6, 10, 17, 18, 71,
114 = 6, 10, 18, 19, 67,
115 = 6, 10, 18, 19, 73,
116 = 6, 10, 18, 21, 69,
117 = 6, 10, 18, 21, 75,
118 = 6, 10, 18, 27, 69,
119 = 6, 10, 18, 27, 71,
120 = 6, 10, 18, 27, 75,
121 = 6, 10, 18, 27, 81,
122 = 7, 8, 10, 21, 59,
123 = 7, 8, 10, 21, 63,
124 = 7, 8, 10, 21, 65,
125 = 7, 9, 10, 21, 62,
126 = 7, 9, 10, 21, 63,
127 = 7, 9, 10, 21, 65,
128 = 7, 10, 11, 23, 62,
129 = 7, 10, 11, 23, 65,
130 = 7, 10, 11, 23, 66,
131 = 7, 10, 11, 23, 69,
132 = 7, 10, 12, 23, 69,
133 = 7, 10, 15, 21, 66,
134 = 7, 10, 15, 21, 73,
135 = 7, 10, 16, 21, 62,
136 = 7, 10, 16, 21, 63,
137 = 7, 10, 16, 21, 69,
138 = 7, 10, 21, 22, 73,
139 = 7, 10, 21, 23, 66,
140 = 7, 10, 21, 23, 69,
141 = 7, 10, 21, 23, 76,
142 = 8, 10, 11, 23, 69,
143 = 9, 10, 12, 27, 63,
144 = 9, 10, 12, 27, 69,
145 = 9, 10, 12, 27, 71,
146 = 9, 10, 12, 27, 72,
147 = 9, 10, 12, 27, 81,
148 = 9, 10, 13, 17, 64,
149 = 9, 10, 15, 27, 66,
150 = 9, 10, 15, 27, 71,
151 = 9, 10, 15, 27, 72,
152 = 9, 10, 15, 27, 81,
153 = 9, 10, 17, 21, 62,
154 = 9, 10, 17, 21, 63,
155 = 9, 10, 17, 21, 72,
156 = 9, 10, 21, 27, 72,
157 = 9, 10, 21, 27, 81,
158 = 9, 10, 24, 27, 81,
159 = 9, 10, 27, 30, 81,
160 = 10, 11, 13, 19, 68,
161 = 10, 11, 14, 19, 71,
162 = 10, 11, 15, 23, 68,
163 = 10, 11, 15, 23, 69,
164 = 10, 12, 15, 21, 66,
165 = 10, 12, 18, 21, 75,
166 = 10, 12, 18, 27, 81,
167 = 10, 14, 15, 21, 73,
168 = 10, 14, 16, 21, 69,
169 = 10, 15, 18, 27, 81,
170 = 10, 15, 21, 24, 72,
171 = 10, 15, 22, 23, 69,
172 = 10, 18, 21, 27, 81,