BLOCKSUM, also known as KEISANBLOCK in Japanese, is a Latin square filling type puzzle, such as Sudoku. In this paper, we prove that the decision problem whether a given instance of BLOCKSUM has a solution or not is NP-complete.
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Kazuya HARAGUCHI, Hirotaka ONO, "BLOCKSUM is NP-Complete" in IEICE TRANSACTIONS on Information,
vol. E96-D, no. 3, pp. 481-488, March 2013, doi: 10.1587/transinf.E96.D.481.
Abstract: BLOCKSUM, also known as KEISANBLOCK in Japanese, is a Latin square filling type puzzle, such as Sudoku. In this paper, we prove that the decision problem whether a given instance of BLOCKSUM has a solution or not is NP-complete.
URL: https://globals.ieice.org/en_transactions/information/10.1587/transinf.E96.D.481/_p
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@ARTICLE{e96-d_3_481,
author={Kazuya HARAGUCHI, Hirotaka ONO, },
journal={IEICE TRANSACTIONS on Information},
title={BLOCKSUM is NP-Complete},
year={2013},
volume={E96-D},
number={3},
pages={481-488},
abstract={BLOCKSUM, also known as KEISANBLOCK in Japanese, is a Latin square filling type puzzle, such as Sudoku. In this paper, we prove that the decision problem whether a given instance of BLOCKSUM has a solution or not is NP-complete.},
keywords={},
doi={10.1587/transinf.E96.D.481},
ISSN={1745-1361},
month={March},}
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TY - JOUR
TI - BLOCKSUM is NP-Complete
T2 - IEICE TRANSACTIONS on Information
SP - 481
EP - 488
AU - Kazuya HARAGUCHI
AU - Hirotaka ONO
PY - 2013
DO - 10.1587/transinf.E96.D.481
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E96-D
IS - 3
JA - IEICE TRANSACTIONS on Information
Y1 - March 2013
AB - BLOCKSUM, also known as KEISANBLOCK in Japanese, is a Latin square filling type puzzle, such as Sudoku. In this paper, we prove that the decision problem whether a given instance of BLOCKSUM has a solution or not is NP-complete.
ER -