用t色染m×n棋盘（约定m≤n）有两种可能情形：对于任意一种染色方式，棋盘必定含有一个矩形，其四个角上的方格有相同的颜色（这样的矩形称为同色矩形）或存在一种染色方式，使得这个棋盘中的每一个矩形都不是同色矩形．文[1]、[2]分别解决了用3色染m×n棋盘及用n色染（n+1） There are two possible cases of t-staining an m×n board (consultation m ≤ n): For any one of the staining methods, the board must contain a rectangle whose squares on the four corners have the same color (such a rectangle weighs For the same color rectangle) or there is a dyeing method, so that each rectangle in this board is not the same color rectangle. Articles [1], [2] solved the use of 3-color dyeing m x n chessboards and dyeing with n colors (n+1)