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

B. Economy Game

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputKolya is developing an economy simulator game. His most favourite part of the development process is in-game testing. Once he was entertained by the testing so much, that he found out his game-coin score become equal to 0.

Kolya remembers that at the beginning of the game his game-coin score was equal to *n* and that he have bought only some houses (for 1 234 567 game-coins each), cars (for 123 456 game-coins each) and computers (for 1 234 game-coins each).

Kolya is now interested, whether he could have spent all of his initial *n* game-coins buying only houses, cars and computers or there is a bug in the game. Formally, is there a triple of non-negative integers *a*, *b* and *c* such that *a* × 1 234 567 + *b* × 123 456 + *c* × 1 234 = *n*?

Please help Kolya answer this question.

Input

The first line of the input contains a single integer *n* (1 ≤ *n* ≤ 10^{9}) — Kolya's initial game-coin score.

Output

Print "YES" (without quotes) if it's possible that Kolya spent all of his initial *n* coins buying only houses, cars and computers. Otherwise print "NO" (without quotes).

Examples

Input

1359257

Output

YES

Input

17851817

Output

NO

Note

In the first sample, one of the possible solutions is to buy one house, one car and one computer, spending 1 234 567 + 123 456 + 1234 = 1 359 257 game-coins in total.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jun/07/2020 03:56:18 (h2).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|