Conforme anunciamos no post " O problema dos Cinco Cincos ", publicamos a seguir a solução completa. Segue a relação das expressõ...
Conforme anunciamos no post "O problema dos Cinco Cincos", publicamos a seguir a solução completa.
Segue a relação das expressões que se utilizam de apenas 5 numerais 5 para resultar nos números de 1 a 100.
[Via BBA]
Segue a relação das expressões que se utilizam de apenas 5 numerais 5 para resultar nos números de 1 a 100.
1 | ( 5 / 5 ) x 55-5 | = 1 |
2 | ( 5 / 5 ) + 55-5 | = 2 |
3 | ( 5 / 5 ) + ( 5+5 ) / 5 | = 3 |
4 | 5 - ( 5 / 5 ) x ( 5 / 5 ) | = 4 |
5 | 55 / 55 x ( 5 ) | = 5 |
6 | 5 + ( 5 / 5 ) x ( 5 / 5 ) | = 6 |
7 | 5 + ( 5 / 5 ) + ( 5 / 5 ) | = 7 |
8 | 5 + 5 – [ ( 5 +5 ) / 5 ] | = 8 |
9 | 5+ 5 – 55-5 | = 9 |
10 | 5+5 x 55-5 | = 10 |
11 | 5 + 5 + 55-5 | = 11 |
12 | 5 + 5 + ( 5 +5 ) / 5 ] | = 12 |
13 | 5? – ( 5 / 5 + 5 / 5 ) | = 13 |
14 | 5? - ( 55 / 55 ) | = 14 |
15 | 5? x ( 55 / 55 ) | = 15 |
16 | 5? + ( 55 / 55 ) | = 16 |
17 | 5? + ( 5 / 5 + 5 / 5 ) | = 17 |
18 | 5? + ( 5 + 5 + 5 ) / 5 ] | = 18 |
19 | 5? +5 – 55-5 | = 19 |
20 | 5? + 5 x 55-5 | = 20 |
21 | ( 5 x 5 ) - [ 5 – ( 5 / 5 ) ] | = 21 |
22 | ( 5? + 5 ) + ( 5+5 ) / 5 | = 22 |
23 | ( 5! - 5 ) / 5 x ( 5 / 5 ) | = 23 |
24 | ( 5? + 5? ) – ( 5 - 5 / 5 ) | = 24 |
25 | ( 5? + 5? ) – ( 5 x 5 / 5 ) | = 25 |
26 | ( 5? + 5? ) – ( 5 – 5 / 5 ) | = 26 |
27 | ( 5! + 5? ) / 5 x ( 5 / 5 ) | = 27 |
28 | ( 5? + 5? ) – [ ( 5+5 ) / 5 ] | = 28 |
29 | ( 5? + 5? ) - 55-5 | = 29 |
30 | ( 5? +5? ) x 55-5 | = 30 |
31 | ( 5? + 5? ) + 55-5 | = 31 |
32 | ( 5? + 5? ) + [ ( 5+5 ) / 5 ] | = 32 |
33 | ( 5! + 5? + 5? +5? ) / 5 | = 33 |
34 | 5? + 5? + [ ( 5 – ( 5 / 5 ) ] | = 34 |
35 | 5? + 5? + [ 5 x ( 5 / 5 ) ] | = 35 |
36 | 5? + 5? + [ 5 + ( 5 / 5 ) ] | = 36 |
37 | ( 5! + 5! – 55 ) / 5 | = 37 |
38 | 5? + 5? +5 + ( 5? / 5 ) | = 38 |
39 | 5! / 5 +5 + 5 +5 | = 39 |
40 | [ ( 5? ) +( 5 x 5 ) ] x ( 5 / 5 ) | = 40 |
41 | ( 5? ) + ( 5 x 5 ) +( 5 / 5 ) | = 41 |
42 | [ ( 5! + 5! ) – ( 5? + 5? ) ] / 5 | = 42 |
43 | [ ( 5! + 5! ) – ( 5 x 5 ) ] / 5 | = 43 |
44 | ( 5? + 5? + 5? ) – ( 5 / 5 ) | = 44 |
45 | ( 5 x 5 ) + ( 5 x 5 ) – 5 | = 45 |
46 | ( 5? + 5? + 5? ) + 5 / 5 | = 46 |
47 | [ ( 5! + 5?) / 5 ] + ( 5? + 5 ) | = 47 |
48 | ( 5? + 5? +5?) + ( 5?/ 5 ) | = 48 |
49 | 5 x ( 5 + 5 ) – ( 5 / 5 ) | = 49 |
50 | 5 x ( 5 + 5 ) x ( 5 / 5 ) | = 50 |
51 | 5 x ( 5 + 5 ) + ( 5 / 5 ) | = 51 |
52 | ( 5? x 5 ) - [ ( 5! – 5 ) / 5 ] | = 52 |
53 | ( 5! / 5 ) + ( 5! / 5 ) + 5 | = 53 |
54 | ( 5! + 5! + 5? + 5?) / 5 | = 54 |
55 | 5? + 5? + 5? + ( 5 + 5 ) | = 55 |
56 | 55 + 55-5 | = 56 |
57 | 55 + [ ( 5+5 ) / 5 ] | = 57 |
58 | [ ( 5! + 5!) / 5 ] + ( 5+5 ) | = 58 |
59 | ( 5? x 5 ) – 5? – ( 5 / 5 ) | = 59 |
60 | ( 5 x 5? ) – 5? x 5 / 5 | = 60 |
61 | ( 5 x 5? ) - 5? + ( 5 / 5 ) | = 61 |
62 | 5! – 55 - 5? / 5 | = 62 |
63 | 5! / 5 +5! / 5 + 5? | = 63 |
64 | ( 5? x 5 ) – 55 / 5 | = 64 |
65 | 5? +5? + 5? + 5? +5 | = 65 |
66 | ( 55 / 5 ) + 55 | = 66 |
67 | ( 5? x 5 ) – 5 - ( 5? / 5 ) | = 67 |
68 | ( 5! + 5!) / 5 + ( 5? + 5 ) | = 68 |
69 | ( 5? + 5? +5?) + ( 5! / 5 ) | = 69 |
70 | ( 55 ) + 5 +5 +5 | = 70 |
71 | ( 5? x 5 ) – ( 5- 5 / 5 ) | = 71 |
72 | 5! – ( 5! / 5 + 5! / 5 ) | = 72 |
73 | 55 + 5? + 5?/ 5 | = 73 |
74 | 5? x 5 – 55-5 | = 74 |
75 | 5? x 5 x 55-5 | = 75 |
76 | 5? x 5 + 55-5 | = 76 |
77 | ( 5? x 5 ) + [ ( 5 + 5 ) / 5 ] | = 77 |
78 | ( 5? x 5 x 5 + 5?) / 5 | = 78 |
79 | 5? x 5 + 5 – ( 5 / 5 ) | = 79 |
80 | 5? x 5 +5 x ( 5 / 5 ) | = 80 |
81 | 5? x 5 +5 + ( 5 / 5 ) | = 81 |
82 | ( 5? x 5 + 5?) - (5! / 5?) | = 82 |
83 | 5? x 5 +5 + ( 5? / 5 ) | = 83 |
84 | ( 5? x 5 ) – 5? + ( 5! / 5 ) | = 84 |
85 | 55 + ( 5 x 5 ) + 5 | = 85 |
86 | 5! – ( 5! / 5 ) – 5? +5 | = 86 |
87 | 5? x 5 + 5? -5?/ 5 | = 87 |
88 | ( 5? x 5 + 5 ) + ( 5! / 5? ) | = 88 |
89 | ( 5? x 5 ) + 5? - ( 5 / 5 ) | = 89 |
90 | 5? x 5 + 5? x ( 5 / 5 ) | = 90 |
91 | 5? x 5 + 5? + ( 5 / 5 ) | = 91 |
92 | 5! - ( 5 x 5 + 5? / 5 ) | = 92 |
93 | 5? x 5 + ( 5? / 5 ) + 5? ) | = 93 |
94 | ( 5? x 5 ) – 5 + ( 5! / 5 ) | = 94 |
95 | ( 5! ) – ( 5! / 5 + 5 / 5 ) | = 95 |
96 | ( 5! +5! +5! + 5! ) / 5 | = 96 |
97 | 5! – ( 5! / 5 ) + 5 / 5 | = 97 |
98 | 5! - [ ( 120 -10) / 5 ] | = 98 |
99 | 5! – ( 5! / 5 ) + 5? / 5 | = 99 |
100 | 5! - ( 5 + 5 + 5 + 5) | = 100 |
[Via BBA]
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