Problem:
Score: 100 points

Problem Statement

E869120 has A 1-yen coins and infinitely many 500-yen coins.

Determine if he can pay exactly N yen using only these coins.

Constraints

N is an integer between 1 and 10000 (inclusive).

A is an integer between 0 and 1000 (inclusive).

Input

Input is given from Standard Input in the following format:

N
A

Output

If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print Yes; otherwise, print No.

Sample Input 1

2018
218

Sample Output 1

Yes

We can pay 2018 yen with four 500-yen coins and 18 1-yen coins, so the answer is Yes.

Sample Input 2

2763
0

Sample Output 2

No

When we have no 1-yen coins, we can only pay a multiple of 500 yen using only 500-yen coins. Since 2763 is not a multiple of 500, we cannot pay this amount.

Sample Input 3

37
514

Sample Output 3

Yes

Solution in Python (3.4.3) (judge verdict: Runtime Error)

GRID = []
for _ in range(3):
    GRID.append([int(c) for c in input().split()])

def diff(row):
    min_num = min(row)
    return list(map(lambda c: c - min_num, row))

def main():
    ans = None
    prev = None
    while GRID:
        row = GRID.pop()
        curr = diff(row)
        if prev is None:
            prev = curr[:] # deep copy
        if curr != prev:
            ans = "No"
            break
    if ans is None:
        ans = "Yes"
    print(ans)

if __name__ == "__main__":
    main()