Authors: Gooovanov A.S., Sokolov A.

Sasha writes down the numbers 1, 2, 3, 4, 5 in some order, places arithmetic operation signs "\$\$\$", "\$-\$", "\$|times\$", and parentheses, and looks at the result of the obtained expression. For example, he can get the number 8 using the expression $\$(4-3) \backslash t i m e s(2+5)+1 \$$$. Can he get the number 123?

Forming numbers from several others is not allowed (for example, from the numbers 1 and 2, the number 12 cannot be formed).
For example, $\$ 3 \backslash$ times $(2 \backslash$ times 4 \times $5+1)=123 . \$$

## Answer

Yes, it can.