Problem1536--Simple Algebra

1536: Simple Algebra

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Time Limit : 1 sec  Memory Limit : 128 MB

Description

Given function f(x,y)= ax^2 +bxy +cy^2, check if f(x,y)≥0 holds for all x,y ∈R.

Input

The input contains zero or more test cases and is terminated by end-of-file. Each test case contains three integers a,b,c. • −10≤ a,b,c ≤10 • The number of tests cases does not exceed 10^4.

Output

For each case, output “Yes” if f(x,y)≥0 always holds. Otherwise, output “No”.

Sample Input Copy

1 -2 1
1 -2 0
0 0 0

Sample Output Copy

Yes
No
Yes