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10/16/2007

November 4–November 10, 2008

Problem

Suppose we fill the sixty-four squares of a chessboard with the numbers 1, 2, ..., 64, with the rule that consecutive numbers lie in squares that are either horizontally or vertically adjacent. What is the minimum possible value of the sum of the numbers along a diagonal?

Solution

Here's a solution By Jack Lee.

List of solvers

Mimi Fung (undergrad); Justin Shih, Dustin Moody (graduate); Gary Raymond (staff); Jack Lee (faculty); Aleks Amundsen; Emily (age 13) and Mike Goodman; Lloyd Sakazaki (outside).

Emily Goodman wins the prize!