Directed Graphs and Network Flows · Hard problem

A digraph has vertices $1,\dots,7$ with arcs $1\to2$, $2\to3$, $3\to1$, $5\to6$, $6\to5$, $1\to4$, $4\to5$, $2\to7$, $6\to7$. Collapse every strongly connected component to a single point to form the condensation. How many arcs does the condensation have?