Claudio Buffara wrote:
1. Expressar o numero 19 usando uma unica vez cada um dos numeros 1, 2 e 3 e
mais as operacoes matematicas usuais (+, -, *, /, raizes, fatoriais, etc.).
Nao vale usar ponto decimal nem a funcao maior inteiro. (essa eh pro Qwert!)
Isso me lembra a vez que tentei resolver de maneira
genérica não apenas o problema dos quatro quatros, mas também
dos cinco cincos e todos os correlatos. Fiz um programinha que
associava um custo a cada função, e então fiz a busca exaustiva.
Para os custos dados, a tabela abaixo tem o jeito mais simples
de resolver cada número:
#define P_PLUS 1
#define P_MINUS 3
#define P_TIMES 10
#define P_DIV 30
#define P_FATORIAL 100
#define P_POT 250
#define P_SQRT 500
#define P_BINOMIAL 750
#define P_FALLING 3000
#define P_RISING 3000
#define P_FLOOR 10000
----------------------------------------------------------------
Ricardo Bittencourt http://www.mundobizarro.tk
[EMAIL PROTECTED] "kimitatino kitiwa subete CATS ga itadaita"
------ União contra o forward - crie suas proprias piadas ------
0 = (44-44)
1 = (44/44)
2 = (4-((4+4)/4))
3 = ((4+(4+4))/4)
4 = (4+(4*(4-4)))
5 = ((4+(4*4))/4)
6 = (4+((4+4)/4))
7 = ((44/4)-4)
8 = ((4+4)+(4-4))
9 = ((4+4)+(4/4))
10 = ((44-4)/4)
11 = (4+((4+4!)/4))
12 = ((4+44)/4)
13 = (4!-(44/4))
14 = (4+(4+(4!/4)))
15 = (4+(44/4))
16 = ((4+4)+(4+4))
17 = ((4*4)+(4/4))
18 = (4!-((4-(4/4)))!)
19 = (4!-(4+(4/4)))
20 = (4*(4+(4/4)))
21 = ((4/4)+(4!-4))
22 = (4!-((4+4)/4))
23 = (((4*4!)-4)/4)
24 = ((4+4)+(4*4))
25 = ((4+(4*4!))/4)
26 = (4!+((4+4)/4))
27 = (4+(4!-(4/4)))
28 = (44-(4*4))
29 = (4+(4!+(4/4)))
30 = (((4+(4/4)))!/4)
31 = (4!+((4+4!)/4))
32 = ((4*4)+(4*4))
33 = (binomial((4!/sqrt(4)),sqrt(4))/sqrt(4))
34 = (4!+(4+(4!/4)))
35 = (4!+(44/4))
36 = (44-(4+4))
37 = (4!+((4!+sqrt(4))/sqrt(4)))
38 = (44-(4!/4))
39 = (4!+binomial((4!/4),4))
40 = ((4*(4*4))-4!)
41 = floor((44-sqrt((4+4))))
42 = (4!+(4!-(4!/4)))
43 = (44-(4/4))
44 = ((4-4)+44)
45 = ((4/4)+44)
46 = (4+(44-sqrt(4)))
47 = (4!+(4!-(4/4)))
48 = (4*(4+(4+4)))
49 = (4!+(4!+(4/4)))
50 = (44+(4!/4))
51 = ceil((44+sqrt(44)))
52 = ((4+4)+44)
53 = floor(((4+4)*sqrt(44)))
54 = ((4!/4)+(4!+4!))
55 = binomial((44/4),sqrt(4))
56 = (4!+(4*(4+4)))
57 = ceil((sqrt((4+4))*(4!-4)))
58 = (((4^4)-4!)/4)
59 = (4!+(rising(4,4)/4!))
60 = ((4*4)+44)
61 = ((sqrt(4)+rising(sqrt(4),4))/sqrt(4))
62 = ((4*(4*4))-sqrt(4))
63 = (((4^4)-4)/4)
64 = ((4+4)*(4+4))
65 = ((4+(4^4))/4)
66 = (sqrt(4)+(4*(4*4)))
67 = ((4*4!)-ceil((4!+sqrt(4!))))
68 = (4+(4*(4*4)))
69 = ceil((sqrt(4!)+(4*(4*4))))
70 = ((4!+(4^4))/4)
71 = ceil((((4*4!)-4!)-sqrt(sqrt(4))))
72 = (4+(4!+44))
73 = ceil((sqrt(4!)+(4!+44)))
74 = (((4*4!)-4!)+sqrt(4))
75 = ((4*(4!-4))-ceil(sqrt(4!)))
76 = ((4*(4!-4))-4)
77 = ceil((((4*4!)-4!)+sqrt(4!)))
78 = ((4*(4!-4))-sqrt(4))
79 = floor((sqrt((4+4))*(4+4!)))
80 = (4*(4+(4*4)))
81 = ((4-(4/4))^4)
82 = (sqrt(4)+(4*(4!-4)))
83 = floor(((sqrt(4)*44)-sqrt(4!)))
84 = (4+(4*(4!-4)))
85 = (ceil(sqrt(4!))+(4*(4!-4)))
86 = ((sqrt(4)*44)-sqrt(4))
87 = (((4*4!)-4)-ceil(sqrt(4!)))
88 = (44+44)
89 = floor(((4*4!)-sqrt(44)))
90 = ((4*4!)-(4!/4))
91 = binomial(((4*4)-sqrt(4)),sqrt(4))
92 = (4*(4!-(4/4)))
93 = floor(((4*4!)-sqrt((4+4))))
94 = (sqrt(4)+((4*4!)-4))
95 = ((4*4!)-(4/4))
96 = (4*(4!+(4-4)))
97 = ((4/4)+(4*4!))
98 = ((4*4!)+(4-sqrt(4)))
99 = ceil((sqrt((4+4))+(4*4!)))
100 = (4*(4!+(4/4)))
=========================================================================
Instruções para entrar na lista, sair da lista e usar a lista em
http://www.mat.puc-rio.br/~nicolau/olimp/obm-l.html
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