Time Limit: Java: 2000 ms / Others: 2000 ms
Memory Limit: Java: 65536 KB / Others: 65536 KB
There is a fierce competition among high-school graduates in Iran to pass the
centralized nationwide university entrance examination. Ministry of Science,
Research, and Technology has set up the Education Evaluation Organization (EEO)
to take care of all aspects of this big exam. This year the EEO managed to select
some 150,000 students to enter universities out of 1.4 million high school graduates
participated in a tough 4.5 hours multiple-choice exam. This annual event is
usually preceded by a multi-billion Rial business offering preparatory courses
to enthusiastic students. A few weeks after the big exam day, each participant
receives a score sheet, and a list of Field-Department-University (FDU), displaying
each field of study in the universities�� departments (e.g., the Software Engineering
field of Computer Engineering department at Sharif University of Technology)
along with their capacity for that year. The eligible participants (those who
have scored enough to be allowed to declare their FDU priorities) fill out a
priority indication form, and declare the FDUs they like to enter, in the order
of their preference. The EEO processes the forms, and considering the total
score, the participant��s FDU priority list, and some other selection rules,
enters the accepted participants�� names in the list of each FDU, until all capacities
are exhausted. Those who are not entered in a list are considered failed and
may try again next year. Each accepted participant��s name may be entered in
only one list.
One of the interesting selection rules is to persuade participants to enter universities in the vicinity of their home towns. This is to help reduce the number of requests for staying in the university dormitories.
The selection process is so complex and so sensitive to many, that EEO has decided to hire the very best programmers in Iran to design a new selection algorithm and write a completely new program for what they have been doing for years. ACM programming contest is where these programmers can be found.
There are N students S1 to SN , and M items F1 to FM , each representing one of the FDUs. There are also a number of geographic regions. For each participant, the total score, the geographic region where his/her high school diploma was awarded, and a priority list of his/her wanted FDUs are available. For each FDU, the geographic region where the corresponding university is located, and its capacity for that year is recorded.
Write a program to compute the list of accepted students with the FDU they can enter to, given the above list of input data. Your program must abide with the following rules:
1. (Local student selection rule) Suppose two students A and B have both selected F in their priority lists and F is in region R. Also suppose that score of A is greater than B's score. Then, if B is from region R (local) and A is from other regions (non-local), and B's score is greater than 70% of A's score, then B has priority over A to enter F. In all other cases A has priority over B to enter F.
2. (Fairness rule) Students should be treated according to their priority list of FDUs. That is, an accepted student will be accepted to the first possible FDU he/she can enter.
Note: We assume that scores are all different integer values.
1 9 2 1 100 2 1 2 2 80 2 2 1 1 90 1 1 2 40 1 2 2 50 1 1 1 60 1 2 2 75 1 1 1 95 1 1 2 30 1 2 1 3 2 4