ROSECODE 363

循环方程

Cyclic equation

Philippe_57721 · 编程 · 2016-12-24

方程

x \times y + y \times z + z \times x = n

与

0 < x \leq y \leq z

具有

11

解用于

n = 1234

：

$1 \times 4 + 4 \times 246 + 246 \times 1 = 1234$
$1 \times 12 + 12 \times 94 + 94 \times 1 = 1234$
$1 \times 18 + 18 \times 64 + 64 \times 1 = 1234$
$3 \times 8 + 8 \times 110 + 110 \times 3 = 1234$
$4 \times 6 + 6 \times 121 + 121 \times 4 = 1234$
$4 \times 21 + 21 \times 46 + 46 \times 4 = 1234$
$8 \times 14 + 14 \times 51 + 51 \times 8 = 1234$
$10 \times 13 + 13 \times 48 + 48 \times 10 = 1234$
$10 \times 19 + 19 \times 36 + 36 \times 10 = 1234$
$12 \times 14 + 14 \times 41 + 41 \times 12 = 1234$
$18 \times 20 + 20 \times 23 + 23 \times 18 = 1234$

n = 3000000

有多少种解决方案？

答案格式：

c o u n t, \sum x, \sum y, \sum z

示例：11,72,149,880，n = 1234

[我的时间：65秒]