All submissions for this problem are available.###Read problems statements [Mandarin](http://www.codechef.com/download/translated/LTIME65/mandarin/THREEFR.pdf) , [Bengali](http://www.codechef.com/download/translated/LTIME65/bengali/THREEFR.pdf) , [Hindi](http://www.codechef.com/download/translated/LTIME65/hindi/THREEFR.pdf) , [Russian](http://www.codechef.com/download/translated/LTIME65/russian/THREEFR.pdf) and [Vietnamese](http://www.codechef.com/download/translated/LTIME65/vietnamese/THREEFR.pdf) as well. There are three friends; let's call them A, B, C. They made the following statements: - A: "I have $x$ Rupees more than B." - B: "I have $y$ rupees more than C." - C: "I have $z$ rupees more than A." You do not know the exact values of $x, y, z$. Instead, you are given their absolute values, i.e. $X = |x|$, $Y = |y|$ and $Z = |z|$. Note that $x$, $y$, $z$ may be negative; "having $-r$ rupees more" is the same as "having $r$ rupees less". Find out if there is some way to assign amounts of money to A, B, C such that all of their statements are true. ### Input - The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows. - The first and only line of each test case contains three space-separated integers $X$, $Y$ and $Z$. ### Output For each test case, print a single line containing the string `"yes"` if the presented scenario is possible or `"no"` otherwise (without quotes). ### Constraints - $1 \le T \le 1,000$ - $1 \le X, Y, Z \le 1,000$ ### Subtasks **Subtask #1 (30 points):** - $1 \le T \le 30$ - $1 \le X, Y, Z \le 3$ **Subtask #2 (70 points):** original constraints ### Example Input ``` 2 1 2 1 1 1 1 ``` ### Example Output ``` yes no ``` ### Explanation **Example 1**: One possible way to satisfy all conditions is: A has $10$ rupees, B has $9$ rupees and C has $11$ rupees. Therefore, we have $x = 1$, $y = -2$, $z = 1$. **Example 2**: There is no way for all conditions to be satisfied.
|Tags||admin2, cakewalk, equations, ltime65, math, taran_1407|
|Time Limit:||1 sec|
|Source Limit:||50000 Bytes|
|Languages:||C, CPP14, JAVA, PYTH, PYTH 3.6, PYPY, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, rust, SCALA, swift, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, kotlin, PERL6, TEXT, SCM chicken, PYP3, CLOJ, COB, FS|
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