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1.4 KiB
id, title, challengeType, forumTopicId, dashedName
| id | title | challengeType | forumTopicId | dashedName |
|---|---|---|---|---|
| 5900f3ca1000cf542c50fedc | Problem 93: Arithmetic expressions | 1 | 302210 | problem-93-arithmetic-expressions |
--description--
使用集合 {1, 2, 3, 4} 中每个数字恰好一次、加减乘除(+, −, ∗, /)四则运算以及括号,可以得到不同的正整数。
例如:
8 = (4 * (1 + 3)) / 2
14 = 4 * (3 + 1 / 2)
19 = 4 * (2 + 3) − 1
36 = 3 * 4 * (2 + 1)
14 = 4 * (3 + 1 / 2)
19 = 4 * (2 + 3) − 1
36 = 3 * 4 * (2 + 1)
需要注意的是,把数字直接连接起来是不被允许的,例如:12 + 34。
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.
--hints--
arithmeticExpressions() should return a number.
assert(typeof arithmeticExpressions() === 'number');
arithmeticExpressions() should return 1258.
assert.strictEqual(arithmeticExpressions(), 1258);
--seed--
--seed-contents--
function arithmeticExpressions() {
return true;
}
arithmeticExpressions();
--solutions--
// solution required