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        In the diagram below, draw a continuous path that begins and ends at the same  place and runs through every square exactly once without crossing itself, so that  between two
    
      
        The diagram below shows a 5×8 board with two of its squares marked with black  circles, and the border of two 3×4 subboards which contain both marked squares... Three avenues,
    
      
        Each will then have 35 minutes to write the solutions of their allotted problem  independently with no further discussion or exchange of problems.. The four  team members are allowed
    
      
        It is one of fish soup, beef  soup or ginseng chicken soup, but it will not offer ginseng chicken soup three  days in a row.. Determine the number of different
    
      
        Repeat this procedure to move the topmost 2k+1 (2≦k≦ 28) cards to the bottom of the pile in order so that the topmost card will be the one  numbered 2k+1 after the move.. The last
    
      
        (5) Number your polyhedrons in order and write your team code on each; fill in the checklist to  list out the numbers of squares and triangles, the numbers of sides, faces and
    
      
        Each contestant should solved the assigned problems individually and  submit their answer at the end of 30 minutes.. The last two problems are to be solved by the team members
    
      
        blue, G represent green and W represent white) to paint each square of an 8×8. chessboard, as shown in the