1.4 KiB
1.4 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f37d1000cf542c50fe8f | Problem 16: Power digit sum | 5 | 301791 | problem-16-power-digit-sum |
--description--
215 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26.
What is the sum of the digits of the number 2exponent
?
--hints--
powerDigitSum(15)
should return a number.
assert(typeof powerDigitSum(15) === 'number');
powerDigitSum(15)
should return 26.
assert.strictEqual(powerDigitSum(15), 26);
powerDigitSum(128)
should return 166.
assert.strictEqual(powerDigitSum(128), 166);
powerDigitSum(1000)
should return 1366.
assert.strictEqual(powerDigitSum(1000), 1366);
--seed--
--seed-contents--
function powerDigitSum(exponent) {
return true;
}
powerDigitSum(15);
--solutions--
function powerDigitSum(exponent) {
const bigNum = [1];
let sum = 0;
for (let i = 1; i <= exponent; i++) {
let count = bigNum.length + 1;
let overflow = 0;
for (let j = 0; j < count; j++) {
let digit = bigNum[j] || 0;
digit = 2 * digit + overflow;
if (digit > 9) {
digit -= 10;
overflow = 1;
} else {
overflow = 0;
}
bigNum[j] = digit;
}
}
bigNum.forEach(function(num) {
return sum += num;
});
return sum;
}