Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. New Year Garland

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputPolycarp is sad — New Year is coming in few days but there is still no snow in his city. To bring himself New Year mood, he decided to decorate his house with some garlands.

The local store introduced a new service this year, called "Build your own garland". So you can buy some red, green and blue lamps, provide them and the store workers will solder a single garland of them. The resulting garland will have all the lamps you provided put in a line. Moreover, no pair of lamps of the same color will be adjacent to each other in this garland!

For example, if you provide $$$3$$$ red, $$$3$$$ green and $$$3$$$ blue lamps, the resulting garland can look like this: "RGBRBGBGR" ("RGB" being the red, green and blue color, respectively). Note that it's ok to have lamps of the same color on the ends of the garland.

However, if you provide, say, $$$1$$$ red, $$$10$$$ green and $$$2$$$ blue lamps then the store workers won't be able to build any garland of them. Any garland consisting of these lamps will have at least one pair of lamps of the same color adjacent to each other. Note that the store workers should use all the lamps you provided.

So Polycarp has bought some sets of lamps and now he wants to know if the store workers can build a garland from each of them.

Input

The first line contains a single integer $$$t$$$ ($$$1 \le t \le 100$$$) — the number of sets of lamps Polycarp has bought.

Each of the next $$$t$$$ lines contains three integers $$$r$$$, $$$g$$$ and $$$b$$$ ($$$1 \le r, g, b \le 10^9$$$) — the number of red, green and blue lamps in the set, respectively.

Output

Print $$$t$$$ lines — for each set of lamps print "Yes" if the store workers can build a garland from them and "No" otherwise.

Example

Input

3 3 3 3 1 10 2 2 1 1

Output

Yes No Yes

Note

The first two sets are desribed in the statement.

The third set produces garland "RBRG", for example.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Sep/21/2020 13:53:15 (h1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|