Title Description

The preliminary round of CSP-J/S is about to begin, and 33DAI has conducted simulation tests.

33DAI solved $x$points worth of questions in the simulation competition, and also guessed $y$points worth of true/false questions and $z$points worth of multiple-choice questions.

Assuming that all the scores obtained are correct, all the true/false questions guessed the answers exactly get half scores, and all the multiple choice questions guessed the answers exactly get quarterscores. The final score line is $a$(those with a score greater than or equal to $a$can advance), please ask if 33DAI can advance.

Input format

Four integers: $x, y, z, a$.

Output format

If you can advance, output 'Yes', otherwise output' No '.

50 10 40 60

Yes

The final score for 33DAI is $50+\frac {10} {2}+\frac {40} {4}=$65.

0 20 80 30

Yes

0 20 80 31

No

90 5 5 93

Yes

The final score for 33DAI is $90+2.5+1.25=93.75$

Data scale and agreement

For data of $100 \%$, ensure that $x+y+z=100$, $0 \le x, y, z, a \le 100$.

• Subtask 1 (30 points): Ensure $a=25$.
• Subtask 2 (30 points): Ensure that $y$ is a multiple of $2$ and $z$ is a multiple of $4$.
• Subtask 3 (40 points): No special restrictions.