Prove that $ \sum a^{b+c+d+e}>1$ $a,b,c,d,e>o$. Show that
$$ a^{b+c+d+e}+ b^{c+d+e+a}+c^{ d+e+a+b}+ d^{e+a+b+c}+e^{a+b+c+d}>1$$ 

oh,I ask my teacher(tian27546),he told me this is he inequality：http://www.artofproblemsolving.com/Forum/viewtopic.php?f=52&t=484816&p=2718780#p2718780
