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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-281-pizza-toppings.md

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+---
+id: 5900f4861000cf542c50ff98
+title: 'Problem 281: Pizza Toppings'
+challengeType: 5
+forumTopicId: 301932
+dashedName: problem-281-pizza-toppings
+---
+
+# --description--
+
+You are given a pizza (perfect circle) that has been cut into m·n equal pieces and you want to have exactly one topping on each slice.
+
+Let f(m,n) denote the number of ways you can have toppings on the pizza with m different toppings (m ≥ 2), using each topping on exactly n slices (n ≥ 1). Reflections are considered distinct, rotations are not.
+
+Thus, for instance, f(2,1) = 1, f(2,2) = f(3,1) = 2 and f(3,2) = 16. f(3,2) is shown below:
+
+Find the sum of all f(m,n) such that f(m,n) ≤ 1015.
+
+# --hints--
+
+`euler281()` should return 1485776387445623.
+
+```js
+assert.strictEqual(euler281(), 1485776387445623);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler281() {
+
+  return true;
+}
+
+euler281();
+```
+
+# --solutions--
+
+```js
+// solution required
+```