The manufacturer claims that there is only one solution to the puzzle Instant Insanity II. However, a recent paper shows that there are two solutions. Our goal is to find ways in which we only have one solution. We examine the permutation groups of the puzzle and use modern algebra to attempt to fix the puzzle. First, we find the permutation group for the case when there is only one empty slot at the top. We then examine the scenario when we add an extra column or an extra row to make the game a 4 x 5 puzzle or a 5 x4 puzzle, respectively. We consider the possibilities when we delete a color to make the game a 3 x 3 puzzle and when we add a color, making the game a 5 x 5 puzzle. Finally, we determine if solution two is a permutation of solution one.
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机译：制造商声称，拼图“ Instant Insanity II”只有一种解决方案。但是，最近的一篇论文显示有两种解决方案。我们的目标是找到只有一个解决方案的方法。我们检查了拼图的排列组，并使用现代代数尝试修复拼图。首先，我们为顶部只有一个空插槽的情况找到排列组。然后，我们在添加额外的列或额外的行以分别将游戏制作为4 x 5拼图或5 x4拼图时检查场景。我们考虑了以下可能性：删除颜色使游戏成为3 x 3的拼图，添加颜色使游戏成为5 x 5的拼图。最后，我们确定解决方案二是否为解决方案一的置换。
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