show the relationships among 𝐸 ! , 𝐸 " , and 𝐸 # for the same initial proton configurations. It can be seen that the order between 𝐸 ! and 𝐸 # is largely interchanged when the values of 𝐸 # are small, indicating that find stable proton configurations using 𝐸 ! , i.e., without the use of a relaxation calculation, are not the true stable proton configurations using 𝐸 # . However, the order is comparable between 𝐸 " and 𝐸 # , indicating that optimization using 𝐸 " is sufficient for finding stable proton configurations in the present problem setting.