Suppose you have N companies visiting your college and your college has N
students . You as placement coordinator knows that each student will get
placed and your college policy is that each student can take ONLY 1 job and
each company can take ONLY 1 student . Each student has told
the placement coordinator his priority . So student A says i will first want
to join ggl, if not  i will like to join amz if not adb and so on for
N companies . So each of these N students tell you ,
the placement coordinator his preference . Next each company who enters
campus takes a separate exam and ranks the students and says its preference
.So when adb visits campus , adb will say I want student A , if not i want
student F if not i want student G and so on for all N students . So all
these N companies takes separate exam and tells the coordinator its
preference order . So you have N preference lists from companies and
N preference lists from students.

As a placement coordinator , with all student preferences and with all
company preferences find the best matrix ie which student joins
which company .
-- 
thanks
--mac

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