Question 21
A drunk walks 1 metre east. Then he stops, makes a $90^\circ$ turn clockwise or counterclockwise and walks 2 metres. Then he stops, makes a $90^\circ$ turn clockwise or counterclockwise and walks 3 metres. He continues in this pattern, stopping, making $90^\circ$ turn clockwise or counterclockwise and walks 1 metre more than the preceding segment. What would be the longest distance, in metres, between his initial position and his position when he makes his seventh stop?