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Problem 48: Self powers

curriculum/challenges/english/blocks/project-euler-problems-1-to-100/5900f39c1000cf542c50feaf.md

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--description--

The series, 1<sup>1</sup> + 2<sup>2</sup> + 3<sup>3</sup> + ... + 10<sup>10</sup> = 10405071317.

Find the last ten digits of the series, 1<sup>1</sup> + 2<sup>2</sup> + 3<sup>3</sup> + ... + 1000<sup>1000</sup>.

--hints--

selfPowers(10, 3) should return a number.

js
assert(typeof selfPowers(10, 3) === 'number');

selfPowers(10, 3) should return 317.

js
assert.strictEqual(selfPowers(10, 3), 317);

selfPowers(150, 6) should return 29045.

js
assert.strictEqual(selfPowers(150, 6), 29045);

selfPowers(673, 7) should return 2473989.

js
assert.strictEqual(selfPowers(673, 7), 2473989);

selfPowers(1000, 10) should return 9110846700.

js
assert.strictEqual(selfPowers(1000, 10), 9110846700);

--seed--

--seed-contents--

js
function selfPowers(power, lastDigits) {

  return true;
}

selfPowers(1000, 10);

--solutions--

js
function selfPowers(power, lastDigits) {
  let sum = 0;
  const modulo = Math.pow(10, lastDigits);

  for (let i = 1; i <= power; i++) {
    let temp = i;
    for (let j = 1; j < i; j++) {
      temp *= i;
      temp %= modulo;
    }

    sum += temp;
    sum %= modulo;
  }

  return sum;
}