H. Eyad and Math

Codeforces

IDCF10150H

Time2000ms

Memory256MB

Difficulty—

English · Original

Formal · Original

Eyad was given a simple math problem, but since he is very bad at math he asked you to help him. Given 4 numbers, a, b, c, and d. Your task is to find whether ab is less than cd or not. *It is guaranteed that the two numbers above are never equal for the given input.* The first line contains an integer T (1 ≤ T ≤ 105), where T is the number of test cases. Then T lines follow, each line contains four integers a, b, c, and d (1 ≤ a, b, c, d ≤ 109). For each test case, print a single line containing "_<_" (without quotes), if ab is less than cd. Otherwise, print "_>_" (without quotes). ## Input The first line contains an integer T (1 ≤ T ≤ 105), where T is the number of test cases.Then T lines follow, each line contains four integers a, b, c, and d (1 ≤ a, b, c, d ≤ 109). ## Output For each test case, print a single line containing "_<_" (without quotes), if ab is less than cd. Otherwise, print "_>_" (without quotes). [samples]

**Definitions** Let $ T \in \mathbb{Z} $ be the number of test cases. For each test case $ k \in \{1, \dots, T\} $, let $ (a_k, b_k, c_k, d_k) \in \mathbb{Z}^4 $ be four integers. **Constraints** 1. $ 1 \leq T \leq 10^5 $ 2. For each $ k \in \{1, \dots, T\} $: $ 1 \leq a_k, b_k, c_k, d_k \leq 10^9 $ **Objective** For each test case $ k $, determine the relation between $ a_k \cdot b_k $ and $ c_k \cdot d_k $: - If $ a_k \cdot b_k < c_k \cdot d_k $, output $ < $ - Otherwise (since equality is guaranteed not to occur), output $ > $

API Response (JSON)

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      "content": "Eyad was given a simple math problem, but since he is very bad at math he asked you to help him. Given 4 numbers, a, b, c, and d. Your task is to find whether ab is less than cd or not. *It is guara",
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