With the initial path obtained by linear interpolation, max i E i is often large, resulting in a small β. To increase β, β is updated several times as follows. Once β is updated (or initially determined), the path optimization is performed. Then, β is updated using eq 19 along the obtained optimal path. By repeating this β update and optimization, β can be increased stepwise, and the path becomes precise. In this study, we set N = 20, b = 5, do not update the energy evaluation points, and repeat the β update and optimization five times.