[Daily Blue Bridge] 34. 2016 Provincial Competition Java Group Real Question "Number of Briquettes"

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Title: Number of Briquettes

There is a pile of briquettes piled into a triangular pyramid prism, specifically:

Put 1 on the first layer,

Put 3 on the second layer (stacked into a triangle)

Put 6 on the second layer (stacked into a triangle)

Put 10 on the second layer (stacked into a triangle)

......

If there are 100 layers, how many briquettes are there?

Please fill in the number representing the total number of briquettes,

Note: What you submit should be an integer, don’t fill in any extra or descriptive text

Problem-solving ideas:

This question is regular. When we understand the question, we can find that the number of triangles in each layer is equal to the number of layers, and the number of briquettes in the last row is also equal to the number of layers, as follows:

It can be seen from this that we only need to add the number of briquettes in the previous layer to the number of the cap layer to get the number of briquettes in this layer, and finally use the cyclic addition to get the total.

 

Answer source code:

public class Year2016_Bt1 {

	public static void main(String[] args) {
		int ans = 0;
		int sum = 0;
		int i = 1;
		while (i<=100) {
			sum+=i;
			ans+=sum;
			i++;
		}
		System.out.println(ans);
	}

}

 

Sample output:

 

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