In a linear seating arrangement, a certain number of persons sit such that some face north and others face south. Each person likes a different city. ...

In a linear seating arrangement, a certain number of persons sit such that some face north and others face south. Each person likes a different city. The following conditions apply:

• B sits at the fourth position from one of the extreme ends.
• The person who likes Hamilton sits fourth to the left of B.
• The number of persons between B and the one who likes Hamilton is one more than the number of persons between E and the one who likes Hamilton.
• Exactly two persons sit between E and F.
• F neither likes Hamilton nor sits to the right of B.
• The person who likes Tokyo sits third to the left of F.
• B and F face opposite directions.
• K sits adjacent to both H and F.
• The immediate neighbors of K face opposite direction to K.
• The number of persons between K and the one who likes Tokyo is a multiple of 3.
• The number of persons between H and J is thrice the number of persons to the right of H.
• J sits to the left of F.
• Only one person sits between H and I.
• Exactly three persons sit between D and J.
• Only one person sits to the right of D.
• The person who likes Boston sits fourth to the left of D.
• One person sits between J and the one who likes Houston, who faces north.
• G sits second to the left of J and both face the same direction.
• The person who likes Madrid sits third to the left of E.
• The person who likes Toronto sits second to the left of I.

Question: How many persons sit between I and the one who likes Hamilton?