organizers want to rearrange 2014 students from same school in circle
Source: Mathley 2014.1 p9
August 20, 2020
combinatoricsgeometry
Problem Statement
There are students from high schools nationwide communications sit around a round table in arbitrary manner. Then the organizers want to rearrange students from the same school sit next to each other by performing the following swapping: permutation view of two adjacent groups of students (see illustration). Find the smallest number so that a result can be obtained results as desired by the organizers with no more than swapping permits. Permission to change places like after
Vu The Khoi, Institute of Mathematics, Vietnam Academy of Science and Technology, Cau Giay, Hanoi.