Tatyana is a big sports fan and she likes volleyball a lot! She writes down the final scores of the game after it has ended in her notebook.

If you are not familiar with the rules of volleyball, here's a brief:

2 teams play in total
During the course of the game, each team gets points, and thus increases its score by 1.
The initial score is 0 for both teams.

The game ends when

One of the teams gets 25 points and another team has < 24 points ( strictly less than 24).
If the score ties at 24:24, the teams continue to play until the absolute difference between the scores is 2.

Given the final score of a game in the format A:B i.e., the first team has scored A points and the second has scored B points, can you print the number of different sequences of getting points by teams that leads to this final score?

Input Format

The first line contains A and the second line contains B.

Constraints

0 ≤ A , B ≤ 10^{9}

Output Format

Output the number of different sequences of getting points by the teams that leads to the final score A : B. Final means that the game should be over after this score is reached. If the number is larger than 10^{9}+7, output number modulo 10^{9} + 7. Print 0 if no such volleyball game ends with the given score.

Example input #00

3
25

Example output #00

2925

Example input #01

24
17

Example output #01

0

Explanation #01

There's no game of volleyball that ends with a score of 24 : 17.

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