954 B
954 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4461000cf542c50ff58 | Problem 217: Balanced Numbers | 5 | 301859 | problem-217-balanced-numbers |
--description--
A positive integer with k
(decimal) digits is called balanced if its first ⌈\frac{k}{2}⌉
digits sum to the same value as its last ⌈\frac{k}{2}⌉
digits, where ⌈x⌉
, pronounced ceiling of x
, is the smallest integer ≥ x
, thus ⌈π⌉ = 4
and ⌈5⌉ = 5
.
So, for example, all palindromes are balanced, as is 13722.
Let T(n)
be the sum of all balanced numbers less than 10^n
.
Thus: T(1) = 45
, T(2) = 540
and T(5) = 334\\,795\\,890
.
Find T(47)\\,mod\\,3^{15}
--hints--
balancedNumbers()
should return 6273134
.
assert.strictEqual(balancedNumbers(), 6273134);
--seed--
--seed-contents--
function balancedNumbers() {
return true;
}
balancedNumbers();
--solutions--
// solution required