{"problem":{"name":"150. Valid Triangle","description":{"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","description_type":"Markdown"},"platform":"Codeforces","limit":{"time_limit":1000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"CF10269150"},"statements":[{"statement_type":"Markdown","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 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. \n\nThe first line contains three space separated integers that correspond to the lengths of sides a, b, and c respectively.\n\nOutput either \"VALID\" or \"INVALID\" depending on if the provided side lengths create a valid or invalid triangle.\n\n## Input\n\nThe first line contains three space separated integers that correspond to the lengths of sides a, b, and c respectively.\n\n## Output\n\nOutput either \"VALID\" or \"INVALID\" depending on if the provided side lengths create a valid or invalid triangle.\n\n[samples]","is_translate":false,"language":"English"},{"statement_type":"Markdown","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$$ a + b > c \\quad \\land \\quad a + c > b \\quad \\land \\quad b + c > a $$  \nIf true, output \"VALID\"; otherwise, output \"INVALID\".","is_translate":false,"language":"Formal"}],"meta":{"iden":"CF10269150","tags":[],"sample_group":[],"created_at":"2026-03-03 11:00:39"}}