{"raw_statement":[{"iden":"problem statement","content":"The commonly used bills in Japan are $10000$\\-yen, $5000$\\-yen and $1000$\\-yen bills. Below, the word \"bill\" refers to only these.\nAccording to Aohashi, he received an otoshidama (New Year money gift) envelope from his grandfather that contained $N$ bills for a total of $Y$ yen, but he may be lying. Determine whether such a situation is possible, and if it is, find a possible set of bills contained in the envelope. Assume that his grandfather is rich enough, and the envelope was large enough."},{"iden":"constraints","content":"*   $1 ≤ N ≤ 2000$\n*   $1000 ≤ Y ≤ 2 × 10^7$\n*   $N$ is an integer.\n*   $Y$ is a multiple of $1000$."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$ $Y$"},{"iden":"sample input 1","content":"9 45000"},{"iden":"sample output 1","content":"4 0 5\n\nIf the envelope contained $4$ $10000$\\-yen bills and $5$ $1000$\\-yen bills, he had $9$ bills and $45000$ yen in total. It is also possible that the envelope contained $9$ $5000$\\-yen bills, so the output `0 9 0` is also correct."},{"iden":"sample input 2","content":"20 196000"},{"iden":"sample output 2","content":"\\-1 -1 -1\n\nWhen the envelope contained $20$ bills in total, the total value would be $200000$ yen if all the bills were $10000$\\-yen bills, and would be at most $195000$ yen otherwise, so it would never be $196000$ yen."},{"iden":"sample input 3","content":"1000 1234000"},{"iden":"sample output 3","content":"14 27 959\n\nThere are also many other possibilities."},{"iden":"sample input 4","content":"2000 20000000"},{"iden":"sample output 4","content":"2000 0 0"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}