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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.

Sagot :

MrRoyal

Answer:

  LA15; LA22

LA16; LA31; LA32

  LA169; LA126;

  LA127; LA141

Explanation:

Given

[tex]Courses: LA15,\ LA16,\ LA22,\ LA31,\ LA32,\ LA126,\ LA127,\ LA141,\ LA 169.[/tex]

Required

Course sequence to satisfy the prerequisite

From the course prerequisite, we have:

[tex]1.\ LA15 \to None[/tex]    and    [tex]3.\ LA22 \to None[/tex]

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

[tex][LA15; LA22][/tex]

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

[tex][LA15 \to [LA16, LA31]; LA22][/tex]

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

View image MrRoyal
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