AT_abc460_b [ABC460B] Two Rings

Description

There are two circles $ C_1 $ and $ C_2 $ on the $ xy $ -plane. In this problem, a circle refers to the circumference. Circle $ C_1 $ has its center at $ (X_1, Y_1) $ and radius $ R_1 $ . Circle $ C_2 $ has its center at $ (X_2, Y_2) $ and radius $ R_2 $ . Determine whether circles $ C_1 $ and $ C_2 $ have a common point. In other words, determine whether there exists at least one point whose distance from $ (X_1, Y_1) $ is $ R_1 $ and whose distance from $ (X_2, Y_2) $ is $ R_2 $ . You are given $ T $ test cases; solve each one.

Input Format

The input is given from Standard Input in the following format, where $ \mathrm{case}_i $ denotes the $ i $ -th test case: > $ T $ $ \mathrm{case}_1 $ $ \mathrm{case}_2 $ $ \vdots $ $ \mathrm{case}_T $ Each test case is given in the following format: > $ X_1 $ $ Y_1 $ $ R_1 $ $ X_2 $ $ Y_2 $ $ R_2 $

Output Format

Output $ T $ lines. The $ i $ -th line should contain the answer for the $ i $ -th test case. For each test case, output `Yes` if circles $ C_1 $ and $ C_2 $ have a common point, and `No` otherwise.

Explanation/Hint

### Sample Explanation 1 For example, in the first test case, the relative positions of $ C_1 $ and $ C_2 $ are as shown in the following figure. ![image](https://cdn.luogu.com.cn/upload/vjudge_pic/AT_abc460_b/454531c6e040686b082348738a47b2375b5442094a265c6a2d16c144309a71b9.png) ### Constraints - $ 1 \leq T \leq 100 $ - $ 0 \leq X_1, Y_1, X_2, Y_2 \leq 10^9 $ - $ 1 \leq R_1, R_2 \leq 10^9 $ - All input values are integers.