## 19. Robbery

To escape after committing a robbery, the criminal must cross three rivers in succession. After each bridge, there was a fork in the road, and one could go right, straight, or left. The police managed to catch an accomplice and interrogated him to find out where the criminal had fled. Here is the answer they received: "After the first bridge, he turned right, after the second bridge, he did not turn right, after the third bridge - he did not turn left."

Assume that two of these three statements are false and that the criminal went in each of the three possible directions exactly once. In which direction did he go after each of the three bridges?
19. Since the criminal used each of the three directions only once, there are six different escape routes:
1) right, left, straight;
2) right, straight, left;
3) left, right, straight;
4) left, straight, right;
5) straight, right, left;

6) straight, left, right.

But if the first possibility is accepted, all three messages from the accomplice are true - which is not the case. If the second possibility is accepted, two messages are true, the third - one, the fourth - two, the fifth - none, and if, finally, the sixth possibility is accepted, two messages will again be true.

Since only one message can be true, the only acceptable possibility is the third: after the first bridge, the bandit turned left, after the second - right, and after the third bridge, he ran straight.