Na ploči su napisana

broja. U parovima njihovi zbrojevi su

. Koji ostatak daje umnožak tih

broja pri dijeljenju s

?

numbers are written on the board. In pairs, their sums are

. What remainder gives the product of those

numbers when divided by

?
[lang = hr]
Na ploči su napisana $4$ broja. U parovima njihovi zbrojevi su $\{2000036, 2000114, 2000102, 2000180, 2000084, 2000132\}$. Koji ostatak daje umnožak tih $4$ broja pri dijeljenju s $(10^9+7)$?
[/lang]
[lang = en]
$4$ numbers are written on the board. In pairs, their sums are $\{2000036, 2000114, 2000102, 2000180, 2000084, 2000132\}$. What remainder gives the product of those $4$ numbers when divided by $(10^9+7)$?
[/lang]