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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-427-n-sequences.md

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+---
+id: 5900f5181000cf542c51002a
+title: 'Problem 427: n-sequences'
+challengeType: 5
+forumTopicId: 302097
+dashedName: problem-427-n-sequences
+---
+
+# --description--
+
+A sequence of integers S = {si} is called an n-sequence if it has n elements and each element si satisfies 1 ≤ si ≤ n. Thus there are nn distinct n-sequences in total.
+
+For example, the sequence S = {1, 5, 5, 10, 7, 7, 7, 2, 3, 7} is a 10-sequence.
+
+For any sequence S, let L(S) be the length of the longest contiguous subsequence of S with the same value. For example, for the given sequence S above, L(S) = 3, because of the three consecutive 7's.
+
+Let f(n) = ∑ L(S) for all n-sequences S.
+
+For example, f(3) = 45, f(7) = 1403689 and f(11) = 481496895121.
+
+Find f(7 500 000) mod 1 000 000 009.
+
+# --hints--
+
+`euler427()` should return 97138867.
+
+```js
+assert.strictEqual(euler427(), 97138867);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler427() {
+
+  return true;
+}
+
+euler427();
+```
+
+# --solutions--
+
+```js
+// solution required
+```