There are $N$ manholes, indexed from $0$ to $N-1$ and $M$ tunnels connecting pairs of them. Valerio's friend Filippo is waiting for him nearby manhole $N-1$, if he can reach it, he will escape safely.
Valerio starts from manhole $0$ and, every minute, he can choose to move to a manhole adjacent to the one he is in or to stay another minute under the same manhole.

Each police patrol guard L ~i~ manholes, indexed from $0$ to L ~i-1~. Patrol $i$ is initially guarding manhole H ~i,0~, every minute it moves from manhole H ~i,j~ to manhole H ~i,j+1~, after reaching manhole H ~i,Li-1, it return to manhole H ~i,0~ .

Each police patrol guard L ~i~ manholes, indexed from $0$ to L ~i-1~. Patrol $i$ is initially guarding manhole H ~i,0~, every minute it moves from manhole H ~i,j~ to manhole H ~i,j+1~, after reaching manhole H ~i,Li-1, it return to manhole H ~ i,0~ .

h2. Date de intrare