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MiniZinc

int: n; % number of people
set of int: PERSON = 1..n; % set of people
enum GENDER = { M, F, O }; % set of genders
array[PERSON] of GENDER: g; % the gender of each person
set of int: POSN = 1..n; % set of positions
array[PERSON] of var POSN: pos; % decisions: a position for each person
array[POSN] of var PERSON: who; % view: a person for each position
include "inverse.mzn";
constraint inverse(pos,who); % channel from decisions to view
constraint forall(i in 1..n-2)
(g[who[i]] != g[who[i+1]] \/ g[who[i+1]] != g[who[i+2]]);
solve minimize sum(i in 1..n-1)(abs(pos[i] - pos[i+1]));