Time Limit: Java: 10000 ms / Others: 10000 ms
Memory Limit: Java: 32768 KB / Others: 32768 KB
The output should be listed as shown below, one perfect cube per line, in non-decreasing order of a (i.e. the lines should be sorted by their a values). The values of b, c, and d should also be listed in non-decreasing order on the line itself. There do exist several values of a which can be produced from multiple distinct sets of b, c, and d triples. In these cases, the triples with the smaller b values should be listed first.
The first part of the output is shown here:
Cube = 6, Triple = (3,4,5)
Cube = 12, Triple = (6,8,10)
Cube = 18, Triple = (2,12,16)
Cube = 18, Triple = (9,12,15)
Cube = 19, Triple = (3,10,18)
Cube = 20, Triple = (7,14,17)
Cube = 24, Triple = (12,16,20)
Note: The programmer will need to be concerned with an efficient implementation.
The official time limit for this problem is 2 minutes, and it is indeed possible
to write a solution to this problem which executes in under 2 minutes on a 33
MHz 80386 machine. Due to the distributed nature of the contest in this region,
judges have been instructed to make the official time limit at their site the
greater of 2 minutes or twice the time taken by the judge's solution on the
machine being used to judge this problem.