chore(i18n,learn): processed translations (#44851)

curriculum/challenges/japanese/10-coding-interview-prep/project-euler/problem-415-titanic-sets.md

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+---
+id: 5900f50c1000cf542c51001e
+title: 'Problem 415: Titanic sets'
+challengeType: 5
+forumTopicId: 302084
+dashedName: problem-415-titanic-sets
+---
+
+# --description--
+
+A set of lattice points $S$ is called a titanic set if there exists a line passing through exactly two points in $S$.
+
+An example of a titanic set is $S = \\{(0, 0), (0, 1), (0, 2), (1, 1), (2, 0), (1, 0)\\}$, where the line passing through (0, 1) and (2, 0) does not pass through any other point in $S$.
+
+On the other hand, the set {(0, 0), (1, 1), (2, 2), (4, 4)} is not a titanic set since the line passing through any two points in the set also passes through the other two.
+
+For any positive integer $N$, let $T(N)$ be the number of titanic sets $S$ whose every point ($x$, $y$) satisfies $0 ≤ x$, $y ≤ N$. It can be verified that $T(1) = 11$, $T(2) = 494$, $T(4) = 33\\,554\\,178$, $T(111)\bmod {10}^8 = 13\\,500\\,401$ and $T({10}^5)\bmod {10}^8 = 63\\,259\\,062$.
+
+Find $T({10}^{11})\bmod {10}^8$.
+
+# --hints--
+
+`titanicSets()` should return `55859742`.
+
+```js
+assert.strictEqual(titanicSets(), 55859742);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function titanicSets() {
+
+  return true;
+}
+
+titanicSets();
+```
+
+# --solutions--
+
+```js
+// solution required
+```