2022-2023年Bebras挑战练习题-Colorful Tower(五彩缤纷的塔)

Sam has 30 hexagonal puzzle pieces, 10 of each of these three types:山姆有 30 块六边形拼图,这三种类型各 10 块:

2022-2023年Bebras挑战练习题-Colorful Tower(五彩缤纷的塔)

When Sam places three pieces in the following pattern, the three pieces must EITHER 1) all be the same color -OR- 2) all different colors.当山姆以如下模式放置三枚棋子时,这三枚棋子要么 1)颜色完全相同,要么 2)颜色各不相同。

Question:问题:

Fill in all the white tiles with the correct colors.用正确的颜色填满所有的空白瓷砖。

(Click on a tile to change its color. Press 'Save' when you have finished the puzzle.)(点击一个方块来改变其颜色。完成拼图后按“保存”。)

 

 

 

 

 

Explanation 解释

Answer: 答案:2022-2023年Bebras挑战练习题-Colorful Tower(五彩缤纷的塔)Explanation: 解释:

When we know the colours of two pieces beside each other, we know what the colour of the piece above them must be. For example, consider the bottom left unknown piece. Since the two pieces below it are green, it must also be green. On the other hand, the piece to its right must be blue because the two pieces below it are green and yellow. We can use this idea to work from the bottom to the top of the tower. There is only one possible answer.

当我们知道相邻两块的颜色时,就能确定它们上方那块的颜色。比如,考虑左下角那块未知的积木。由于它下面的两块是绿色的,所以它也一定是绿色的。另一方面,它右边的那块一定是蓝色的,因为下面的两块分别是绿色和黄色。我们可以用这个思路从塔的底部往上推导。答案只有一个。

Note that we can work in any order on each row of the tower.

请注意,对于塔的每一行,我们可以按任意顺序进行操作。

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