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Tram

Zaman məhdudiyyəti 1 saniyə
Yaddaşı istafadə məhdudiyyəti 32 MiB

Tram network in Zagreb consists of a number of intersections and rails connecting some of them. In every intersection there is a switch pointing to the one of the rails going out of the intersection. When the tram enters the intersection it can leave only in the direction the switch is pointing. If the driver wants to go some other way, he/she has to manually change the switch.

When a driver has do drive from intersection A to the intersection B he/she tries to choose the route that will minimize the number of times he/she will have to change the switches manually.

Write a program that will calculate the minimal number of switch changes necessary to travel from intersection A to intersection B.

Giriş verilənləri

The first line of the input contains integers N, A and B, separated by a single blank character, 2N100, 1A, BN, N is the number of intersections in the network, and intersections are numbered from 1 to N.

Each of the following N lines contain a sequence of integers separated by a single blank character. First number in the i^th line, K_i (0K_iN-1), represents the number of rails going out of the i^th intersection. Next K_i numbers represents the intersections directly connected to the i^th intersection.Switch in the i^th intersection is initially pointing in the direction of the first intersection listed.

Çıxış verilənləri

The first and only line of the output should contain the target minimal number. If there is no route from A to B the line should contain the integer "-1".

Nümunə

Giriş verilənləri #1
3 2 1
2 2 3
2 3 1
2 1 2
Çıxış verilənləri #1
0
Mənbə Croatian Highschool Competitions in Informatics 2002, Juniors