Ember Nest Flames

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This challenge becomes much easier once you know exactly what to keep, change, or count. In Ember Nest Flames, you are trying to work toward the right number by following one clear idea.

Calculate ember nest flame expansion 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 rings = 4, the answer is 1365. Four extra rings mean the latest coal plus four times the entire light from ring three. Another example is rings = 0, which gives 1. Only the first coal remains.

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

rings = 0

Output

Explanation

Only the first coal remains.

Example 2

Input

rings = 2

Output

Explanation

The second ring adds a boundary coal and multiplies the previous glow fourfold, for a total of eighty-five embers.

Example 3

Input

rings = 4

Output

1365

Explanation

Four extra rings mean the latest coal plus four times the entire light from ring three.

Algorithm Flow

Recommendation Algorithm Flow for Ember Nest Flames

Best Answers
These are the verified best solutions for this Challenge. You can use them as a reference to improve your solution.

java

import java.util.*;
class Solution {
    public int calculate_nest_glow(Object nest) {
        if (nest instanceof Integer) return (int) nest;
        if (nest instanceof List) {
            int total = 0;
            for (Object item : (List) nest) {
                total += calculate_nest_glow(item);
            }
            return total;
        }
        return 0;
    }
}

javascript

function calculate_nest_glow(nest) {
    if (typeof nest === 'number') return nest;
    if (Array.isArray(nest)) {
        return nest.reduce((sum, item) => sum + calculate_nest_glow(item), 0);
    }
    return 0;
}

php

function calculate_nest_glow($nest) {
    if (is_numeric($nest)) return $nest;
    if (is_array($nest)) {
        $total = 0;
        foreach ($nest as $item) {
            $total += calculate_nest_glow($item);
        }
        return $total;
    }
    return 0;
}

python

def calculate_nest_glow(nest):
    total = 0
    if isinstance(nest, (int, float)):
        return nest
    if isinstance(nest, list):
        for item in nest:
            total += calculate_nest_glow(item)
    return total

rust

use serde_json::Value;

pub fn calculate_nest_glow(nest: &Value) -> i32 {
    match nest {
        Value::Number(n) => n.as_i64().unwrap_or(0) as i32,
        Value::Array(arr) => arr.iter().map(|v| calculate_nest_glow(v)).sum(),
        _ => 0,
    }
}

typescript

function calculate_nest_glow(nest: any): number {
    if (typeof nest === 'number') return nest;
    if (Array.isArray(nest)) {
        return nest.reduce((sum, item) => sum + calculate_nest_glow(item), 0);
    }
    return 0;
}

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Ember Nest Flames

Example Input & Output

Algorithm Flow

Best AnswersThese are the verified best solutions for this Challenge. You can use them as a reference to improve your solution.

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Best Answers
These are the verified best solutions for this Challenge. You can use them as a reference to improve your solution.