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Cascade Step Chimes

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This one is about reading carefully and then following a clear rule. In Cascade Step Chimes, you are trying to work toward the right number by following one clear idea.

Calculate cascade growth pattern for chimes A good way to think about it is to first understand what goes in, then what rule you must follow, and finally what shape the answer should have.

For example, if the input is steps = 4, the answer is 161. Four additional steps mean another guiding chime plus a tripled echo of everything below, totaling 161 chimes. Another example is steps = 0, which gives 1. Only the base chime plays, so the crowd hears a single note.

This is a friendly practice problem, but it still rewards careful reading. The key is understanding the rule clearly and then applying it carefully.

One helpful habit is to say the rule out loud in your own words before you start solving. If you can explain what counts, what changes, and what the final answer should look like, you are already much closer to the right solution.

Example Input & Output

Example 1
Input
steps = 4
Output
161
Explanation

Four additional steps mean another guiding chime plus a tripled echo of everything below, totaling 161 chimes.

Example 2
Input
steps = 0
Output
1
Explanation

Only the base chime plays, so the crowd hears a single note.

Example 3
Input
steps = 2
Output
17
Explanation

The second step adds one guiding chime and repeats the prior soundscape three times, ending with seventeen chimes.

Algorithm Flow

Recommendation Algorithm Flow for Cascade Step Chimes
Recommendation Algorithm Flow for Cascade Step Chimes

Best Answers

java
class Solution {
    public int count_chimes(int steps) {
        return 2 * (int) Math.pow(3, steps) - 1;
    }
}