2010 AMC 12B Question 14

Let $a,$ $b,$ $c,$ $d,$ and $e$ be positive integers with $a+b+c+d+e=2010,$ and let $M$ be the largest of the sums $a+b,$ $b+c,$ $c+d,$ and $d+e.$ What is the smallest possible value of $M?$