Let $$u$$ and $$v$$ be integers satisfying $$0 < v < u$$. Let $$A = (u,v)$$, let $$B$$ be the reflection of $$A$$ across the line $$y = x$$, let $$C$$ be the reflection of $$B$$ across the y-axis, let $$D$$ be the reflection of $$C$$ across the x-axis, and let $$E$$ be the reflection of $$D$$ across the y-axis. The area of pentagon $$ABCDE$$ is $$451$$. Find $$u + v$$.

(第十八届AIME1 2000 第2题)