150. Valid Triangle

Codeforces

IDCF10269150

Time1000ms

Memory256MB

Difficulty—

English · Original

Formal · Original

Your task for this problem is to take the three side lengths of a triangle and to determine if these side lengths could create a "valid" triangle. A triangle is considered valid if the addition of any two side lengths is less than the length of the other side, in other words, the following must evaluate to true: a+b>c, a+c>b, b+c>a. The first line contains three space separated integers that correspond to the lengths of sides a, b, and c respectively. Output either "VALID" or "INVALID" depending on if the provided side lengths create a valid or invalid triangle. ## Input The first line contains three space separated integers that correspond to the lengths of sides a, b, and c respectively. ## Output Output either "VALID" or "INVALID" depending on if the provided side lengths create a valid or invalid triangle. [samples]

**Definitions** Let $ a, b, c \in \mathbb{R}^+ $ be the side lengths of a triangle. **Constraints** None beyond positivity (implied by context). **Objective** Determine whether: $$ a + b > c \quad \land \quad a + c > b \quad \land \quad b + c > a $$ If true, output "VALID"; otherwise, output "INVALID".

API Response (JSON)

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      "content": "Your task for this problem is to take the three side lengths of a triangle and to determine if these side lengths could create a \"valid\" triangle. A triangle is considered valid if the addition of any...",
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      "content": "**Definitions**  \nLet $ a, b, c \\in \\mathbb{R}^+ $ be the side lengths of a triangle.\n\n**Constraints**  \nNone beyond positivity (implied by context).\n\n**Objective**  \nDetermine whether:  \n$$ a + b > c...",
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