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  • \$\begingroup\$ In the third invalid example it isn't just that the corner is in an invalid configuration, the r/y/o corner is an impossible corner due to r and o being opposite one another \$\endgroup\$ Commented Sep 7, 2019 at 14:54
  • \$\begingroup\$ Fixed the third invalid example (CC @fəˈnɛtɪk) \$\endgroup\$ Commented Sep 7, 2019 at 15:05
  • \$\begingroup\$ The same problem was also in the second invalid example but i hadn't noticed it. It matters less there because the colours are messed up anyway \$\endgroup\$ Commented Sep 7, 2019 at 15:08
  • \$\begingroup\$ When you write that alternate input methods are allowed, does that mean that we can take input as a vector of positive integers \$(a_1,a_2,a_3,a_4)\$ with the constraint \$a_1\leq 8!\$, \$a_2\leq3^7\$, \$a_3\leq 12!/2\$, \$a_4\leq 2^{11}\$? (the product of those numbers is 43 quintillion) \$\endgroup\$ Commented Sep 7, 2019 at 20:02
  • 1
    \$\begingroup\$ @Shaggy Yes, a single line string is fine \$\endgroup\$ Commented Sep 7, 2019 at 21:52