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As each brigade emerged from the woods, from 50 to 100 guns opened upon it, tearing great gaps in its ranks; but the heroes pressed on and were shot down by reserves at the guns. It was not war, it was murder.

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Jack Edmonds

The classes of problems which are respectively known and not known to have good algorithms are of great theoretical interest. [. . . ] I conjecture that there is no good algorithm for the traveling salesman problem. My reasons are the same as for any mathematical conjecture: (1) It is a legitimate mathematical possibility, and (2) I do not know.