954 B

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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

954 B Raw Blame History