function [ possible_lens_placement, possible_lens_set, possible_sample_energy] = mode_match( q0, qf, Ltot, lambda, lens_permutations )
%Shuffles lenses into random positions and stores possible solutions
%   Shuffles over entire lens permutation array for n_shuffles times.
%   Afterwards, solutions are sorted by Energy and truncated to n_truncate
%   decimal places. Similar solutions are then removed from the array.

n_perms = size(lens_permutations,1);
n_shuffles=20; %number of random placements of lenses

%Initialize sample arrays
N = n_perms * n_shuffles;
possible_lens_placement = zeros(N,3);
possible_lens_set = zeros(N,3);
possible_sample_energy = zeros(N,1);
initial_rand_lens_placement=zeros(N,3);

lens_size = .03; % physical size of the lens

for ip = 1:n_perms
    f3=lens_permutations(ip,3);
    x3=Ltot-f3; % last lense transfer collimated region to focused spot
    for is = 1:n_shuffles
        possible_lens_set((ip-1)*n_shuffles + is,:) = lens_permutations(ip,:);

        initial_rand_lens_placement_tmp = sort(lens_size+(x3-2*lens_size)*rand(1,2));
        initial_rand_lens_placement((ip-1)*n_shuffles + is,:) = [initial_rand_lens_placement_tmp, x3];
    end
end

parfor i = 1:N
      
        fitness_simplified=@(x) fitness(q0, qf, Ltot, x, possible_lens_set(i,:), lambda );
        [x_sol, energy]=fminsearch(fitness_simplified, initial_rand_lens_placement(i,:), optimset('TolFun',1e-5,'MaxFunEvals',1e8,'MaxIter',200));
        
        possible_lens_placement(i,:) =x_sol;
        possible_sample_energy(i) = energy;

end

end