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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-270-cutting-squares.md

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+---
+id: 5900f47c1000cf542c50ff8e
+title: 'Problem 270: Cutting Squares'
+challengeType: 5
+forumTopicId: 301920
+dashedName: problem-270-cutting-squares
+---
+
+# --description--
+
+A square piece of paper with integer dimensions N×N is placed with a corner at the origin and two of its sides along the x- and y-axes. Then, we cut it up respecting the following rules:
+
+We only make straight cuts between two points lying on different sides of the square, and having integer coordinates.
+
+Two cuts cannot cross, but several cuts can meet at the same border point.
+
+Proceed until no more legal cuts can be made.
+
+Counting any reflections or rotations as distinct, we call C(N) the number of ways to cut an N×N square. For example, C(1) = 2 and C(2) = 30 (shown below).
+
+What is C(30) mod 108 ?
+
+# --hints--
+
+`euler270()` should return 82282080.
+
+```js
+assert.strictEqual(euler270(), 82282080);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler270() {
+
+  return true;
+}
+
+euler270();
+```
+
+# --solutions--
+
+```js
+// solution required
+```