contract bits_decomposition
    param x
    {% for n in range(255) %}
        private b_{{n}}
    {% endfor %}

    unpack_bits x b_0 b_254

    {% for n in range(255) %}
        # (1 - b) * b == 0
        lc0_add_one
        lc0_sub b_{{n}}

        lc1_add b_{{n}}

        enforce
    {% endfor %}

    lc0_add_bits b_0
    lc0_sub x
    enforce
end