Topic: Graphs.1.) Bob loves foreign languages and wants to plan his courseschedule for the following years. He is interested in the followingnine language courses: LA15, LA16, LA22, LA31, LA32, LA126, LA127,LA141, and LA 169. The course prerequisites are. i.) LA15: (None)ii.) LA16: LA 15iii.) LA22: (None)iv.) LA31:LA 15v.) LA32:LA16, LA31vi.) LA126: LA22, LA32vii.) LA127: LA 16viii.) LA141:LA22, LA 16ix.) LA 169: LA32.Find the sequence of courses that allows Bob to satisfy allthe prerequisites.

  LA15; LA22

LA16; LA31; LA32

  LA169; LA126;

  LA127; LA141

Explanation:

Given

Required

Course sequence to satisfy the prerequisite

From the course prerequisite, we have:

   and    

This means that LA15 and LA22 are the base courses, and they have no prerequisite. So, we have:

LA16 and LA31 have LA15 as their direct course prerequisite. So, the sequence becomes

To complete the sequence, we read each course and place them other their prerequisite.

See attachment for complete tree

From the tree, we have the sequence to be:

LA15; LA22

LA16; LA31; LA32

LA169; LA126;

LA127; LA141

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