Add countDistinctPowers function and associated tests

Author: gaye-lamine

Project-Euler/Problem030.js

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+/**
+ * Problem - Sum of Fifth Powers of Digits
+ *
+ * Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.
+ *
+ * @see {@link https://projecteuler.net/problem=30}
+ */
+
+/**
+ * Main function to calculate the sum of all numbers that can be expressed
+ * as the sum of the fifth powers of their digits.
+ *
+ * @returns {number} The sum of all numbers that can be written as the sum of fifth powers of their digits.
+ */
+function sumOfFifthPowers() {
+  const fifthPowers = Array.from({ length: 10 }, (_, i) => i ** 5)
+  const results = []
+
+  for (let num = 10; num < 354295; num++) {
+    const sumOfDigits = num
+      .toString()
+      .split('')
+      .reduce((sum, digit) => sum + fifthPowers[digit], 0)
+
+    if (sumOfDigits === num) {
+      results.push(num)
+    }
+  }
+
+  return results.reduce((acc, curr) => acc + curr, 0)
+}
+
+export { sumOfFifthPowers }

Project-Euler/test/Problem030.test.js

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+import { sumOfFifthPowers } from '../Problem030' // Adjust the path if necessary
+
+describe('sumOfFifthPowers', () => {
+  it('should return the sum of all numbers that can be written as the sum of fifth powers of their digits', () => {
+    const result = sumOfFifthPowers()
+    expect(result).toBe(443839) // Expected result based on the problem statement
+  })
+})