1.6 KiB
1.6 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f3a01000cf542c50feb3 | Problem 52: Permuted multiples | 5 | 302163 | problem-52-permuted-multiples |
--description--
It can be seen that the number, 125874, and its double, 251748, contain exactly the same digits, but in a different order.
Find the smallest positive integer, such that multiplied by integers \\{2, 3, \ldots, n\\}
, contain the same digits.
--hints--
permutedMultiples(2)
should return a number.
assert(typeof permutedMultiples(2) === 'number');
permutedMultiples(2)
should return 125874
.
assert.strictEqual(permutedMultiples(2), 125874);
permutedMultiples(6)
should return 142857
.
assert.strictEqual(permutedMultiples(6), 142857);
--seed--
--seed-contents--
function permutedMultiples(n) {
return true;
}
permutedMultiples(2);
--solutions--
function permutedMultiples(n) {
const isPermutation = (a, b) =>
a.length !== b.length
? false
: a.split('').sort().join() === b.split('').sort().join();
let start = 1;
let found = false;
let result = 0;
while (!found) {
start *= 10;
for (let i = start; i < start * 10 / n; i++) {
found = true;
for (let j = 2; j <= n; j++) {
if (!isPermutation(i + '', j * i + '')) {
found = false;
break;
}
}
if (found) {
result = i;
break;
}
}
}
return result;
}