function [Lambda, Lambda_C, x] = get_sparse_vector(N, M, Amp, extend_target)
    x = zeros(N * M, 1);

    if nargin < 4
        extend_target = true;
    end

    % Support Set
    if length(x) > 2 * M && extend_target
        Lambda = M + 1:2 * M;
    elseif length(x) < 2 * M && extend_target
        Lambda = 1:M;
    else
        Lambda = 2;
    end

    if length(Amp) == 1
        x(Lambda) = Amp;
    elseif length(Amp) <= max(Lambda)
        x(Lambda) = Amp(Lambda);
    else
        % Warning
        x(Lambda) = Amp(end);
    end

    Lambda_C = setdiff(1:N*M, Lambda);

end