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Triangle Classification

Classify three side lengths as invalid, equilateral, isosceles, or scalene.

Ce que vous allez apprendre

  • Check the triangle inequality
  • Classify by equal sides
  • Order conditions from most to least specific

Problème

Afficher la traduction

Classify three side lengths as invalid, equilateral, isosceles, or scalene. A valid triangle has positive sides, and its two shortest sides must sum to more than its longest side. Equal-to is invalid: it forms a straight line. Use equilateral for three equal sides, isosceles for exactly two, and scalene for three different sides.

Implement triangle_classification(sides).

Input

sides: The three side lengths in any order.

Output

Return one lowercase label: invalid, equilateral, isosceles, or scalene.

Contraintes

Exactly three integer sides, each between −1,000,000,000 and 1,000,000,000. Nonpositive sides are invalid.

Exemples

Exemple 1
Entrée :
sides = [5, 5, 8]

Sortie attendue :
expected = "isosceles"
Entrée :
std::vector<long long> sides = {5, 5, 8};

Sortie attendue :
std::string expected = "isosceles";
Entrée :
long[] sides = new long[] {5, 5, 8};

Sortie attendue :
string expected = "isosceles";

Explication

Two sides equal 5, and 5 + 5 > 8, so this is a valid isosceles triangle.

Exemple 2
Entrée :
sides = [1, 2, 3]

Sortie attendue :
expected = "invalid"
Entrée :
std::vector<long long> sides = {1, 2, 3};

Sortie attendue :
std::string expected = "invalid";
Entrée :
long[] sides = new long[] {1, 2, 3};

Sortie attendue :
string expected = "invalid";

Explication

1 + 2 equals 3. The strict inequality fails, so these lengths form a line.

Comment l'aborder

Essayez d'abord seul, puis ouvrez les indices un par un.

Indice 1

First rule out impossible triangles: nonpositive sides or a longest side that is too long.

Indice 2

Sort the sides so the triangle inequality is easy to check.

Indice 3

Then classify by how many side lengths match: three, two, or none.

Complexité attendue

O(1) time, O(1) extra space

Références

Ce défi a été adapté pour CodeUtility. Suivez l'énoncé et les contraintes ci-dessus.

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