Saved in:
Bibliographic Details
Main Authors: Ishii, Sotaro, Tanaka, Tetsuro
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.00129
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866914952473739264
author Ishii, Sotaro
Tanaka, Tetsuro
author_facet Ishii, Sotaro
Tanaka, Tetsuro
contents To investigate the feasibility of strongly solving Minishogi (Gogo Shogi), it is necessary to know the number of its reachable positions from the initial position. However, there currently remains a significant gap between the lower and upper bounds of the value, since checking the legality of a Minishogi position is difficult. In this paper, the authors estimate the number of reachable positions by generating candidate positions using uniform random sampling and measuring the proportion of those reachable by a series of legal moves from the initial position. The experimental results reveal that the number of reachable Minishogi positions is approximately $2.38\times 10^{18}$.
format Preprint
id arxiv_https___arxiv_org_abs_2409_00129
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Estimating the number of reachable positions in Minishogi
Ishii, Sotaro
Tanaka, Tetsuro
Artificial Intelligence
Computer Science and Game Theory
To investigate the feasibility of strongly solving Minishogi (Gogo Shogi), it is necessary to know the number of its reachable positions from the initial position. However, there currently remains a significant gap between the lower and upper bounds of the value, since checking the legality of a Minishogi position is difficult. In this paper, the authors estimate the number of reachable positions by generating candidate positions using uniform random sampling and measuring the proportion of those reachable by a series of legal moves from the initial position. The experimental results reveal that the number of reachable Minishogi positions is approximately $2.38\times 10^{18}$.
title Estimating the number of reachable positions in Minishogi
topic Artificial Intelligence
Computer Science and Game Theory
url https://arxiv.org/abs/2409.00129