Problem
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.
Constraints
Exactly three integer sides, each between −1,000,000,000 and 1,000,000,000. Nonpositive sides are invalid.
Examples
Input:
sides = [5, 5, 8]
Expected output:
expected = "isosceles"
Input:
std::vector<long long> sides = {5, 5, 8};
Expected output:
std::string expected = "isosceles";
Input:
long[] sides = new long[] {5, 5, 8};
Expected output:
string expected = "isosceles";
Explanation
Two sides equal 5, and 5 + 5 > 8, so this is a valid isosceles triangle.
Input:
sides = [1, 2, 3]
Expected output:
expected = "invalid"
Input:
std::vector<long long> sides = {1, 2, 3};
Expected output:
std::string expected = "invalid";
Input:
long[] sides = new long[] {1, 2, 3};
Expected output:
string expected = "invalid";
Explanation
1 + 2 equals 3. The strict inequality fails, so these lengths form a line.
How to approach it
Try on your own first, then open one hint at a time.
Hint 1
First rule out impossible triangles: nonpositive sides or a longest side that is too long.
Hint 2
Sort the sides so the triangle inequality is easy to check.
Hint 3
Then classify by how many side lengths match: three, two, or none.
Expected complexity
O(1) time, O(1) extra space
References
This challenge is adapted for CodeUtility. Follow the statement and constraints above.