# Ode to the EU & the UK

Logic Level 3

$\begin{array}{ccccc} & & & & E&U\\ \times & & & & U & K \\ \hline & & N & O & P &E\\ \hline \end{array}$

The above shows a cryptogram representing the product of two 2-digit integers to produce a 4-digit integer. Given that each letter represents​ distinct digits, and $$O =4$$, what is the value of the 4-digit integer $$\overline{NOPE}$$?

×