what is the answer to: Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100
a=0;p=1; b=0;c=0;n=(a^3+b^3+c^3);if(a!=b and a!=c and b!=c and n<100, goto loop, goto next);loop:printp," - ", a, b, c," = ",n;p=p+1;next:a++;if(a<100, goto4,0);a=0;b++;if(b<100, goto4, 0);a=0;b=0;c++;if(c<100, goto4,0)
OUTPUT:
n x y z sum
1 - 2 1 0 = 9
2 - 3 1 0 = 28
3 - 4 1 0 = 65
4 - 1 2 0 = 9
5 - 3 2 0 = 35
6 - 4 2 0 = 72
7 - 1 3 0 = 28
8 - 2 3 0 = 35
9 - 4 3 0 = 91
10 - 1 4 0 = 65
11 - 2 4 0 = 72
12 - 3 4 0 = 91
13 - 2 0 1 = 9
14 - 3 0 1 = 28
15 - 4 0 1 = 65
16 - 0 2 1 = 9
17 - 3 2 1 = 36
18 - 4 2 1 = 73
19 - 0 3 1 = 28
20 - 2 3 1 = 36
21 - 4 3 1 = 92
22 - 0 4 1 = 65
23 - 2 4 1 = 73
24 - 3 4 1 = 92
25 - 1 0 2 = 9
26 - 3 0 2 = 35
27 - 4 0 2 = 72
28 - 0 1 2 = 9
29 - 3 1 2 = 36
30 - 4 1 2 = 73
31 - 0 3 2 = 35
32 - 1 3 2 = 36
33 - 4 3 2 = 99
34 - 0 4 2 = 72
35 - 1 4 2 = 73
36 - 3 4 2 = 99
37 - 1 0 3 = 28
38 - 2 0 3 = 35
39 - 4 0 3 = 91
40 - 0 1 3 = 28
41 - 2 1 3 = 36
42 - 4 1 3 = 92
43 - 0 2 3 = 35
44 - 1 2 3 = 36
45 - 4 2 3 = 99
46 - 0 4 3 = 91
47 - 1 4 3 = 92
48 - 2 4 3 = 99
49 - 1 0 4 = 65
50 - 2 0 4 = 72
51 - 3 0 4 = 91
52 - 0 1 4 = 65
53 - 2 1 4 = 73
54 - 3 1 4 = 92
55 - 0 2 4 = 72
56 - 1 2 4 = 73
57 - 3 2 4 = 99
58 - 0 3 4 = 91
59 - 1 3 4 = 92
60 - 2 3 4 = 99
