freeCodeCamp

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id	challengeType	title	forumTopicId
5900f3ca1000cf542c50fedc	5	Problem 93: Arithmetic expressions	302210

Description

By using each of the digits from the set, {1, 2, 3, 4}, exactly once, and making use of the four arithmetic operations (+, −, *, /) and brackets/parentheses, it is possible to form different positive integer targets. For example, 8 = (4 * (1 + 3)) / 2 14 = 4 * (3 + 1 / 2) 19 = 4 * (2 + 3) − 1 36 = 3 * 4 * (2 + 1) Note that concatenations of the digits, like 12 + 34, are not allowed. Using the set, {1, 2, 3, 4}, it is possible to obtain thirty-one different target numbers of which 36 is the maximum, and each of the numbers 1 to 28 can be obtained before encountering the first non-expressible number. Find the set of four distinct digits, a < b < c < d, for which the longest set of consecutive positive integers, 1 to n, can be obtained, giving your answer as a string: abcd.

Instructions

Tests

tests:
  - text: <code>euler93()</code> should return 1258.
    testString: assert.strictEqual(euler93(), 1258);

Challenge Seed

function euler93() {
  // Good luck!
  return true;
}

euler93();

Solution

// solution required

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