Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  discuss some new geometric puzzles and the complexity of their extension to arbitrary sizes. For gate puzzles and two-layer puzzles  prove NP-completeness of solving them. Not only the solution of puzzles leads to interesting questions, but also puzzle design gives rise to interesting theoretical questions. This leads to the search for instances of partition that use only integers and are uniquely solvable.  show that instances of polynomial size exist with this property. This result also holds for partition into k subsets with the same sum:  construct instances of n integers with subset sum O(n k+1), for fixed k.
['Helmut Alt', 'Hans L. Bodlaender', 'Marc J. van Kreveld', 'Günter Rote', 'Gerard Tel']
I am writing a research paper on a idea Wooden Geometric Puzzles: Design and Hardness Proofs
[{"from": "human", "value": "I am writing a research paper on a idea Wooden Geometric Puzzles: Design and Hardness Proofs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  discuss some new geometric puzzles and the complexity of their extension to arbitrary sizes. For gate puzzles and two-layer puzzles  prove NP-completeness of solving them. Not only the solution of puzzles leads to interesting questions, but also puzzle design gives rise to interesting theoretical questions. This leads to the search for instances of partition that use only integers and are uniquely solvable.  show that instances of polynomial size exist with this property. This result also holds for partition into k subsets with the same sum:  construct instances of n integers with subset sum O(n k+1), for fixed\u00a0k."}]