시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB10351208528.333%

문제

ATM에는 다른 종류 두 가지의 지폐가 굉장히 많이 있다. ATM에서 돈을 찾을 때 ATM은 예금주의 잔액을 넘지 않는 범위에서 정확한 양의 돈을 지급한다. 꿍은 지폐를 많이 들고다니고 싶지 않기때문에 되도록이면 가장 적은 수의 지폐를 들고다니고 싶어한다.

여러분은 가장 적은 수의 지폐로 꿍이 인출하려는 금액을 정확히 지급해주는 ATM을 만들어야 한다. ATM을 만들 때, ATM안에는 무제한으로 지폐가 들어있다고 가정해도 좋다.

입력

첫째 줄에는 테스트 케이스의 개수 T가 주어진다. 각 테스트 케이스는 한줄로 이루어져 있으며 각 줄에는 a, b(ATM에 있는 지폐의 종류)와 S(꿍이 인출하려는 금액) 세개의 정수로 이루어져 있으며 공백으로 구분되어 있다.

출력

각 테스트케이스에 대해 ATM에서 인출되는 두 가지 지폐의 장수를 각각 출력한다. 만약 가능한 경우가 없다면 "Impossible" (따옴표 제외)이라고 출력한다.

제한

  • 1 ≤ T ≤ 100
  • 1 ≤ a, b ≤ 10000
  • a ≠ b
  • 0 ≤ S ≤ 109

예제 입력 1

3
1 10 23
3 2 7
4 6 2

예제 출력 1

3 2
1 2
Impossible
W3sicHJvYmxlbV9pZCI6Ijc0ODEiLCJwcm9ibGVtX2xhbmciOiIwIiwidGl0bGUiOiJBVE1cdWIxODBcdWM3NzQiLCJkZXNjcmlwdGlvbiI6IjxwPkFUTVx1YzVkMFx1YjI5NCBcdWIyZTRcdWI5NzggXHVjODg1XHViOTU4IFx1YjQ1MCBcdWFjMDBcdWM5YzBcdWM3NTggXHVjOWMwXHVkM2QwXHVhYzAwIFx1YWQ0OVx1YzdhNVx1ZDc4OCBcdWI5Y2VcdWM3NzQgXHVjNzg4XHViMmU0LiBBVE1cdWM1ZDBcdWMxMWMgXHViM2M4XHVjNzQ0IFx1Y2MzZVx1Yzc0NCBcdWI1NGMgQVRNXHVjNzQwIFx1YzYwOFx1YWUwOFx1YzhmY1x1Yzc1OCBcdWM3OTRcdWM1NjFcdWM3NDQgXHViMTE4XHVjOWMwIFx1YzU0YVx1YjI5NCBcdWJjOTRcdWM3MDRcdWM1ZDBcdWMxMWMgXHVjODE1XHVkNjU1XHVkNTVjIFx1YzU5MVx1Yzc1OCBcdWIzYzhcdWM3NDQgXHVjOWMwXHVhZTA5XHVkNTVjXHViMmU0LiBcdWFmY2RcdWM3NDAgXHVjOWMwXHVkM2QwXHViOTdjIFx1YjljZVx1Yzc3NCBcdWI0ZTRcdWFjZTBcdWIyZTRcdWIyYzhcdWFjZTAgXHVjMmY2XHVjOWMwIFx1YzU0YVx1YWUzMFx1YjU0Y1x1YmIzOFx1YzVkMCBcdWI0MThcdWIzYzRcdWI4NWRcdWM3NzRcdWJhNzQgXHVhYzAwXHVjN2E1IFx1YzgwMVx1Yzc0MCBcdWMyMThcdWM3NTggXHVjOWMwXHVkM2QwXHViOTdjIFx1YjRlNFx1YWNlMFx1YjJlNFx1YjJjOFx1YWNlMCBcdWMyZjZcdWM1YjRcdWQ1NWNcdWIyZTQuPFwvcD5cclxuXHJcbjxwPlx1YzVlY1x1YjdlY1x1YmQ4NFx1Yzc0MCBcdWFjMDBcdWM3YTUgXHVjODAxXHVjNzQwIFx1YzIxOFx1Yzc1OCBcdWM5YzBcdWQzZDBcdWI4NWMgXHVhZmNkXHVjNzc0IFx1Yzc3OFx1Y2Q5Y1x1ZDU1OFx1YjgyNFx1YjI5NCBcdWFlMDhcdWM1NjFcdWM3NDQgXHVjODE1XHVkNjU1XHVkNzg4IFx1YzljMFx1YWUwOVx1ZDU3NFx1YzhmY1x1YjI5NCBBVE1cdWM3NDQgXHViOWNjXHViNGU0XHVjNWI0XHVjNTdjIFx1ZDU1Y1x1YjJlNC4gQVRNXHVjNzQ0IFx1YjljY1x1YjRlNCBcdWI1NGMsIEFUTVx1YzU0OFx1YzVkMFx1YjI5NCBcdWJiMzRcdWM4MWNcdWQ1NWNcdWM3M2NcdWI4NWMgXHVjOWMwXHVkM2QwXHVhYzAwIFx1YjRlNFx1YzViNFx1Yzc4OFx1YjJlNFx1YWNlMCBcdWFjMDBcdWM4MTVcdWQ1NzRcdWIzYzQgXHVjODhiXHViMmU0LjxcL3A+XHJcbiIsImlucHV0IjoiPHA+XHVjY2FiXHVjOWY4IFx1YzkwNFx1YzVkMFx1YjI5NCBcdWQxNGNcdWMyYTRcdWQyYjggXHVjZjAwXHVjNzc0XHVjMmE0XHVjNzU4IFx1YWMxY1x1YzIxOCBUXHVhYzAwIFx1YzhmY1x1YzViNFx1YzljNFx1YjJlNC4gXHVhYzAxIFx1ZDE0Y1x1YzJhNFx1ZDJiOCBcdWNmMDBcdWM3NzRcdWMyYTRcdWIyOTQgXHVkNTVjXHVjOTA0XHViODVjIFx1Yzc3NFx1YjhlOFx1YzViNFx1YzgzOCBcdWM3ODhcdWM3M2NcdWJhNzAgXHVhYzAxIFx1YzkwNFx1YzVkMFx1YjI5NCBhLCBiKEFUTVx1YzVkMCBcdWM3ODhcdWIyOTQgXHVjOWMwXHVkM2QwXHVjNzU4IFx1Yzg4NVx1Yjk1OClcdWM2NDAgUyhcdWFmY2RcdWM3NzQgXHVjNzc4XHVjZDljXHVkNTU4XHViODI0XHViMjk0IFx1YWUwOFx1YzU2MSkgXHVjMTM4XHVhYzFjXHVjNzU4IFx1YzgxNVx1YzIxOFx1Yjg1YyBcdWM3NzRcdWI4ZThcdWM1YjRcdWM4MzggXHVjNzg4XHVjNzNjXHViYTcwIFx1YWNmNVx1YmMzMVx1YzczY1x1Yjg1YyBcdWFkNmNcdWJkODRcdWI0MThcdWM1YjQgXHVjNzg4XHViMmU0LjxcL3A+XHJcbiIsIm91dHB1dCI6IjxwPlx1YWMwMSBcdWQxNGNcdWMyYTRcdWQyYjhcdWNmMDBcdWM3NzRcdWMyYTRcdWM1ZDAgXHViMzAwXHVkNTc0IEFUTVx1YzVkMFx1YzExYyBcdWM3NzhcdWNkOWNcdWI0MThcdWIyOTQgXHViNDUwIFx1YWMwMFx1YzljMCBcdWM5YzBcdWQzZDBcdWM3NTggXHVjN2E1XHVjMjE4XHViOTdjIFx1YWMwMVx1YWMwMSBcdWNkOWNcdWI4MjVcdWQ1NWNcdWIyZTQuIFx1YjljY1x1YzU3ZCBcdWFjMDBcdWIyYTVcdWQ1NWMgXHVhY2JkXHVjNmIwXHVhYzAwIFx1YzVjNlx1YjJlNFx1YmE3NCAmcXVvdDtJbXBvc3NpYmxlJnF1b3Q7IChcdWI1MzBcdWM2MzRcdWQ0NWMgXHVjODFjXHVjNjc4KVx1Yzc3NFx1Yjc3Y1x1YWNlMCBcdWNkOWNcdWI4MjVcdWQ1NWNcdWIyZTQuPFwvcD5cclxuIiwiaGludCI6IiIsIm9yaWdpbmFsIjoiMCIsImh0bWxfdGl0bGUiOiIwIiwicHJvYmxlbV9sYW5nX3Rjb2RlIjoiS29yZWFuIiwibGltaXQiOiI8dWw+XHJcblx0PGxpPjEgJmxlOyBUICZsZTsgMTAwPFwvbGk+XHJcblx0PGxpPjEgJmxlOyBhLCBiICZsZTsgMTAwMDA8XC9saT5cclxuXHQ8bGk+YSAmbmU7IGI8XC9saT5cclxuXHQ8bGk+MCAmbGU7IFMgJmxlOyAxMDxzdXA+OTxcL3N1cD48XC9saT5cclxuPFwvdWw+XHJcbiJ9LHsicHJvYmxlbV9pZCI6Ijc0ODEiLCJwcm9ibGVtX2xhbmciOiIxIiwidGl0bGUiOiJBdXRvbWF0aWMgQ2FzaCBUZXJtaW5hbCIsImRlc2NyaXB0aW9uIjoiPHA+VGhlIGF1dG9tYXRpYyB0ZWxsZXIgbWFjaGluZSAoQVRNKSBoYXMgYSBsb3Qgb2YgYmFua25vdGVzIG9mIHR3byBkaWZmZXJlbnQgdmFsdWVzLiBXaGVuIGFwZXJzb24gd2hvIHVzZXMgdGhlIHRlcm1pbmFsIHJlcXVlc3RzIHNvbWUgYW1vdW50LCB0aGUgbWFjaGluZSBpc3N1ZXMgZXhhY3RseSB0aGlzIGFtb3VudCBvZiBtb25leSAob2YgY291cnNlLCBpZiB0aGlzIGFtb3VudCBkb2VzIG5vdCBleGNlZWQgYSBiYWxhbmNlIG9mIHRoZSB1c2VyJmxzcXVvO3MgYWNjb3VudCkuIE1vc3QgcGVvcGxlIGRvIG5vdCBsaWtlIHRvIGNhcnJ5IGEgaHVnZSBidW5kbGUgb2YgYmFua25vdGVzLCB0aGVyZWZvcmUgdGhlIG1hY2hpbmUgbXVzdCBpc3N1ZSByZXF1ZXN0ZWQgYW1vdW50IHVzaW5nIG1pbmltYWwgcG9zc2libGUgbnVtYmVyIG9mIGJhbmtub3Rlcy4mbmJzcDs8XC9wPlxyXG5cclxuPHA+WW91ciB0YXNrIGlzIHRvIHdyaXRlIGEgcHJvZ3JhbSB0aGF0IGRldGVybWluZXMgdGhlIG51bWJlciBvZiBiYW5rbm90ZXMgb2YgZWFjaCB2YWx1ZSB0aGF0IHNob3VsZCBiZSBpc3N1ZWQgYnkgdGhlIG1hY2hpbmUgc28gdGhhdCB0aGUgdXNlciByZWNlaXZlcyB0aGUgcmVxdWVzdGVkIGFtb3VudCBhbmQgdGhlIHRvdGFsIG51bWJlciBvZiBiYW5rbm90ZXMgaXMgbWluaW1hbC4gWW91IG1heSBhc3N1bWUgdGhhdCB0aGUgbnVtYmVyIG9mIGJhbmtub3RlcyBvZiBlYWNoIHZhbHVlIGlzIG5vdCBsaW1pdGVkLjxcL3A+XHJcbiIsImlucHV0IjoiPHA+VGhlIGZpcnN0IG51bWJlciBpbiB0aGUgaW5wdXQgZ2l2ZXMgdGhlIG51bWJlciBvZiB0ZXN0IGNhc2VzIFQuIEEgc2luZ2xlIGxpbmUgZm9yIGVhY2ggY2FzZSBjb250YWlucyB0aHJlZSBpbnRlZ2VycyBhLCBiICh0aGUgdmFsdWVzIG9mIGJhbmtub3RlcyBpbiB0aGUgbWFjaGluZSkgYW5kIFMgKHRoZSBhbW91bnQgb2YgbW9uZXkgcmVxdWVzdGVkIGJ5IHRoZSB1c2VyKS4gSW50ZWdlcnMgaW4gZWFjaCBsaW5lIGFyZSBzZXBhcmF0ZWQgYnkgYSBzcGFjZS48XC9wPlxyXG4iLCJvdXRwdXQiOiI8cD5Gb3IgZWFjaCB0ZXN0IGNhc2UgcHJpbnQgYSBzaW5nbGUgbGluZSBpbiB0aGUgb3V0cHV0IHdpdGggdHdvIGludGVnZXJzICZuZGFzaDsgbnVtYmVycyBvZiBiYW5rbm90ZXMgb2YgZWFjaCB2YWx1ZSB3aGljaCBtdXN0IGJlIGlzc3VlZCBieSBBVE0uIEluIGNhc2Ugd2hlbiBpdCZsc3F1bztzIG5vdCBwb3NzaWJsZSB0byBpc3N1ZSByZXF1ZXN0ZWQgYW1vdW50LCBwcmludCB0aGUgd29yZCAmcXVvdDtJbXBvc3NpYmxlJnF1b3Q7ICh3aXRob3V0IHF1b3RlcykuPFwvcD5cclxuIiwiaGludCI6IiIsIm9yaWdpbmFsIjoiMSIsImh0bWxfdGl0bGUiOiIwIiwicHJvYmxlbV9sYW5nX3Rjb2RlIjoiRW5nbGlzaCIsImxpbWl0IjoiPHVsPlxyXG5cdDxsaT4xICZsZTsgVCAmbGU7IDEwMDxcL2xpPlxyXG5cdDxsaT4xICZsZTsgYSwgYiAmbGU7IDEwMDAwPFwvbGk+XHJcblx0PGxpPmEgJm5lOyBiPFwvbGk+XHJcblx0PGxpPjAgJmxlOyBTICZsZTsgMTA8c3VwPjk8XC9zdXA+PFwvbGk+XHJcbjxcL3VsPlxyXG4ifV0=

출처

ICPC > Regionals > Europe > Southeastern European Regional Contest > All-Ukrainian Collegiate Programming Contest > AUCPC Semi-Final 2010 A번