1.The challenge of the path problem is to find whether a given graph has a Hamiltonian path.

路径问题挑战是找出给定图是否具有顿路径。机翻

2.This puzzle is related to the Hamiltonian path problem named after the 19th century Irish mathematician William Rowan Hamilton.

这个谜题与以 19 尔兰数学家 William Rowan Hamilton 命名顿路径问题有关。机翻

3.In any grid with that configuration, a Hamiltonian path that starts and ends in opposite corners is impossible.

具有该配置任何网格中，一条对角开始和结束顿路径是不可能。机翻

4.So a Hamiltonian path on an even-sided grid that starts on black will have to end on white.

因此，从黑色开始偶边网格上顿路径必须以白色结束。机翻

5.This puzzle adds a twist to the Hamiltonian path problem in that you have to start and end at specific points.

这个难题为顿路径问题增加了一个转折点，因为您必须特定点开始和结束。机翻

6.But before you waste a ton of graph paper, you should know that a true Hamiltonian path isn't possible with these end points.

但是你浪费大量方格纸之前，你应该知道真正顿路径对于这些端点是不可能。机翻

7.However, in any grid with even numbered sides, opposite corners are the same color, so it's impossible to start and end a Hamiltonian path on opposite corners.

然而， 任何具有偶数边网格中，对角是相同颜色，因此不可能对角上开始和结束顿路径。机翻

8.For his part, Mr Dunkelman argues that progressives must move away from so-called Jeffersonian instincts, which favour localism, diffuse power and plentiful vetoes, and towards Hamiltonian ones, which point to centralising power in order to get things done.

邓克尔曼认为， 进步人士必须摆脱所谓杰斐逊式直觉，即倾向于地方主义、分散权力和众多否决权，而转向汉尔顿式理念， 即集中权力以实现目标。机翻