You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: run_ADMM_cplex.m
    path of file: ./repos/rapidPF/03_parser/solvefuns
    
    the code of the file until where you have to start completion: function [xsol, violation, iter, loggX] = run_ADMM_cplex(problem, params)
% solve the distributed problem
    max_iter           = params.max_iter;
    tol                = params.tol;
    rho                = params.rho;
    AA                 = problem.AA;
    b                  = problem.b;
    state              = problem.state;

    
function [xsol, violation, iter, loggX] = run_ADMM_cplex(problem, params)
% solve the distributed problem
    max_iter           = params.max_iter;
    tol                = params.tol;
    rho                = params.rho;
    AA                 = problem.AA;
    b                  = problem.b;
    state              = problem.state;
    X                  = problem.zz0;
    A                  = horzcat(AA{:});  % Ax - b = 0, centralized
    N_states           = get_number_of_state(state);
    loggX              = [];
    %  initialize
    lam0               = problem.lam0;
    N_regions          = size(X,1);
    Lambda             = {};
    HQP                = []; % 

    % regularization only for components not involved in consensus and
    % project them back on x_k
    gam   = 1e-3;
    L     = diag(double(~sum(abs(A))));    
    for i = 1:N_regions
        Lambda{i} = lam0;
       % build H and A for ctr. QP    
        HQP = blkdiag(HQP, rho*AA{i}'*AA{i});
    end