825 B
825 B
id | title | challengeType | forumTopicId |
---|---|---|---|
5900f4461000cf542c50ff58 | Problem 217: Balanced Numbers | 5 | 301859 |
--description--
A positive integer with k (decimal) digits is called balanced if its first ⌈k/2⌉ digits sum to the same value as its last ⌈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 10n.
Thus: T(1) = 45, T(2) = 540 and T(5) = 334795890.
Find T(47) mod 315
--hints--
euler217()
should return 6273134.
assert.strictEqual(euler217(), 6273134);
--seed--
--seed-contents--
function euler217() {
return true;
}
euler217();
--solutions--
// solution required