시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 101 15 12 33.333%

문제

이집트 왕국(기원전 2000년)의 이집트인은 분수를 쓰는 새로운 방법을 개발했다. 단위분수를 나타내는 상형문자를 만든 뒤, 그 상형문자로 분수를 나타냈다.

하지만, 이 방법을 이용한다면 분자가 1보다 큰 분수를 나타낼 수가 없었다. 따라서, 이집트 인은 단위분수를 더하는 방식으로 분수를 나타냈다. 예를 들어, 3/4는 다음과 같이 나타낼 수 있다.

어떤 분수를 나타내는 방법이 여러가지일수도 있다. 3/4는 다음과 같이 나타낼 수 있다.

분수 M/N이 주어졌을 때, 이 분수를 그리디 방법을 이용해서 단위분수의 합으로 나타내려고 한다. 그리디 방법은 그 분수에서 뺄 수 있는 가장 큰 단위 분수를 0이 될 때 까지 계속해서 빼는 방법이다. 예를 들어, 9/20을 그리디 방법을 이용한다면 1/3 + 1/9 + 1/180으로 나타낼 수 있다.

이 방법을 이용해서 나온 단위분수가 너무 커지는 것을 막기위해, 다음과 같은 제한을 추가한다. 단위분수를 빼고난 후에 나온 분수의 분모는 1,000,000보다 작아야 한다.

예를 들어, 17/69에서 시작했을 때, 처음 두 단위분수는 1/5와 1/22가 되고 7/7590이 남게 된다. 이 상태에서 뺄 수 있는 가장 큰 분수는 1/1085가 된다.

위에서 볼 수 있듯이 가장 큰 분수로 빼게되면 남은 분수의 분모는 백만보다 크게 된다. 따라서, 1/1085를 사용할 수 없게 된다. 다음으로 큰 단위분수인 1/1086을 빼면 다음과 같게 된다.

항상 분모의 크기는 1,000,000보다 작아야 하기 때문에, 위와 같이 단위분수로 나눠야 한다. 따라서, 정답은 1/5 + 1/22 + 1/1086 + 1/686895가 된다.

모든 분수는 항상 분모가 같은 단위분수의 합으로 나타낼 수 잇기 때문에, 정답이 존재하지 않는 경우는 없다. 예를 들면 3/999983과 같은 경우다.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스는 한 줄로 이루어져 있고, M과 N이 주어진다. (1 < M < N < 100) M과 N은 분수 M/N을 나타내며, 두 수의 최대공약수는 항상 1이다. 마지막 줄에는 0 0이 주어진다.

출력

입력으로 주어진 분수 M/N이 다음과 같이 나타낼 수 있다면, D1, D2, D3, ...를 공백으로 구분해 출력한다. (D1 ≤ D2 ≤ D3 ≤ ....)

예제 입력 1

3 4
2 7
9 20
17 69
0 0

예제 출력 1

2 4
4 28
3 9 180
5 22 1086 686895

힌트

[{"problem_id":"4587","problem_lang":"0","title":"\uc774\uc9d1\ud2b8 \ubd84\uc218","description":"<p>\r\n\t\uc774\uc9d1\ud2b8 \uc655\uad6d(\uae30\uc6d0\uc804 2000\ub144)\uc758 \uc774\uc9d1\ud2b8\uc778\uc740 \ubd84\uc218\ub97c \uc4f0\ub294 \uc0c8\ub85c\uc6b4 \ubc29\ubc95\uc744 \uac1c\ubc1c\ud588\ub2e4. \ub2e8\uc704\ubd84\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \uc0c1\ud615\ubb38\uc790\ub97c \ub9cc\ub4e0 \ub4a4, \uadf8 \uc0c1\ud615\ubb38\uc790\ub85c \ubd84\uc218\ub97c \ub098\ud0c0\ub0c8\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ud558\uc9c0\ub9cc, \uc774 \ubc29\ubc95\uc744 \uc774\uc6a9\ud55c\ub2e4\uba74 \ubd84\uc790\uac00 1\ubcf4\ub2e4 \ud070 \ubd84\uc218\ub97c \ub098\ud0c0\ub0bc \uc218\uac00 \uc5c6\uc5c8\ub2e4. \ub530\ub77c\uc11c, \uc774\uc9d1\ud2b8 \uc778\uc740 \ub2e8\uc704\ubd84\uc218\ub97c \ub354\ud558\ub294 \ubc29\uc2dd\uc73c\ub85c \ubd84\uc218\ub97c \ub098\ud0c0\ub0c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, 3\/4\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/34.png\" style=\"width: 183px; height: 60px;\" \/><\/p>\r\n\r\n<p>\r\n\t\uc5b4\ub5a4 \ubd84\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \ubc29\ubc95\uc774 \uc5ec\ub7ec\uac00\uc9c0\uc77c\uc218\ub3c4 \uc788\ub2e4. 3\/4\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/342.png\" style=\"width: 253px; height: 60px;\" \/><\/p>\r\n\r\n<p>\r\n\t\ubd84\uc218 M\/N\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc774 \ubd84\uc218\ub97c \uadf8\ub9ac\ub514 \ubc29\ubc95\uc744 \uc774\uc6a9\ud574\uc11c \ub2e8\uc704\ubd84\uc218\uc758 \ud569\uc73c\ub85c \ub098\ud0c0\ub0b4\ub824\uace0 \ud55c\ub2e4. \uadf8\ub9ac\ub514 \ubc29\ubc95\uc740 \uadf8 \ubd84\uc218\uc5d0\uc11c \ube84 \uc218 \uc788\ub294 \uac00\uc7a5 \ud070 \ub2e8\uc704 \ubd84\uc218\ub97c 0\uc774 \ub420 \ub54c \uae4c\uc9c0 \uacc4\uc18d\ud574\uc11c \ube7c\ub294 \ubc29\ubc95\uc774\ub2e4. \uc608\ub97c \ub4e4\uc5b4, 9\/20\uc744 \uadf8\ub9ac\ub514 \ubc29\ubc95\uc744 \uc774\uc6a9\ud55c\ub2e4\uba74 1\/3 + 1\/9 + 1\/180\uc73c\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/9201.png\" style=\"width: 198px; height: 60px;\" \/><\/p>\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/9202.png\" style=\"width: 211px; height: 60px;\" \/><\/p>\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/9203.png\" style=\"width: 202px; height: 60px;\" \/><\/p>\r\n\r\n<p>\r\n\t\uc774 \ubc29\ubc95\uc744 \uc774\uc6a9\ud574\uc11c \ub098\uc628 \ub2e8\uc704\ubd84\uc218\uac00 \ub108\ubb34 \ucee4\uc9c0\ub294 \uac83\uc744 \ub9c9\uae30\uc704\ud574, \ub2e4\uc74c\uacfc \uac19\uc740 \uc81c\ud55c\uc744 \ucd94\uac00\ud55c\ub2e4. \ub2e8\uc704\ubd84\uc218\ub97c \ube7c\uace0\ub09c \ud6c4\uc5d0 \ub098\uc628 \ubd84\uc218\uc758 \ubd84\ubaa8\ub294 1,000,000\ubcf4\ub2e4 \uc791\uc544\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc608\ub97c \ub4e4\uc5b4, 17\/69\uc5d0\uc11c \uc2dc\uc791\ud588\uc744 \ub54c, \ucc98\uc74c \ub450 \ub2e8\uc704\ubd84\uc218\ub294 1\/5\uc640 1\/22\uac00 \ub418\uace0 7\/7590\uc774 \ub0a8\uac8c \ub41c\ub2e4. \uc774 \uc0c1\ud0dc\uc5d0\uc11c \ube84 \uc218 \uc788\ub294 \uac00\uc7a5 \ud070 \ubd84\uc218\ub294 1\/1085\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/77590.png\" style=\"width: 582px; height: 60px;\" \/><\/p>\r\n\r\n<p>\r\n\t\uc704\uc5d0\uc11c \ubcfc \uc218 \uc788\ub4ef\uc774 \uac00\uc7a5 \ud070 \ubd84\uc218\ub85c \ube7c\uac8c\ub418\uba74 \ub0a8\uc740 \ubd84\uc218\uc758 \ubd84\ubaa8\ub294 \ubc31\ub9cc\ubcf4\ub2e4 \ud06c\uac8c \ub41c\ub2e4. \ub530\ub77c\uc11c, 1\/1085\ub97c \uc0ac\uc6a9\ud560 \uc218 \uc5c6\uac8c \ub41c\ub2e4. \ub2e4\uc74c\uc73c\ub85c \ud070 \ub2e8\uc704\ubd84\uc218\uc778 1\/1086\uc744 \ube7c\uba74 \ub2e4\uc74c\uacfc \uac19\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/775902.png\" style=\"width: 708px; height: 60px;\" \/><\/p>\r\n\r\n<p>\r\n\t\ud56d\uc0c1 \ubd84\ubaa8\uc758 \ud06c\uae30\ub294 1,000,000\ubcf4\ub2e4 \uc791\uc544\uc57c \ud558\uae30 \ub54c\ubb38\uc5d0, \uc704\uc640 \uac19\uc774 \ub2e8\uc704\ubd84\uc218\ub85c \ub098\ub220\uc57c \ud55c\ub2e4. \ub530\ub77c\uc11c, \uc815\ub2f5\uc740 1\/5 + 1\/22 + 1\/1086 + 1\/686895\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ubaa8\ub4e0 \ubd84\uc218\ub294 \ud56d\uc0c1 \ubd84\ubaa8\uac00 \uac19\uc740 \ub2e8\uc704\ubd84\uc218\uc758 \ud569\uc73c\ub85c \ub098\ud0c0\ub0bc \uc218 \uc787\uae30 \ub54c\ubb38\uc5d0, \uc815\ub2f5\uc774 \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4. \uc608\ub97c \ub4e4\uba74 3\/999983\uacfc \uac19\uc740 \uacbd\uc6b0\ub2e4.<\/p>\r\n\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/3999983.png\" style=\"width: 475px; height: 60px;\" \/><\/p>\r\n\r\n","input":"<p>\r\n\t\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud55c \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, M\uacfc N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &lt; M &lt; N &lt; 100) M\uacfc N\uc740 \ubd84\uc218 M\/N\uc744 \ub098\ud0c0\ub0b4\uba70, \ub450 \uc218\uc758 \ucd5c\ub300\uacf5\uc57d\uc218\ub294 \ud56d\uc0c1 1\uc774\ub2e4. \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 0 0\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\r\n\t\uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4 \ubd84\uc218 M\/N\uc774 \ub2e4\uc74c\uacfc \uac19\uc774 \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4\uba74, D<sub>1<\/sub>, D<sub>2<\/sub>, D<sub>3<\/sub>, ...\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud574 \ucd9c\ub825\ud55c\ub2e4. (D<sub>1<\/sub> &le; D<sub>2<\/sub> &le; D<sub>3<\/sub> &le; ....)<\/p>\r\n<p>\r\n\t<img alt=\"\" src=\"\/upload\/images\/output.png\" style=\"width: 354px; height: 63px;\" \/><\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4587","problem_lang":"1","title":"Egyptian Fractions","description":"<p>During the Middle Kingdom of Egypt (circa 2000 BC), the Egyptians developed a novel way of writing fractions. Adding a certain symbol to the hieroglyph for an integer was understood to represent the reciprocal of that integer. This made it easy to write any fraction of the form 1\/N (called a unit fraction)&mdash;simply add the reciprocal symbol to the hieroglyph for N.<\/p>\r\n\r\n<p>There was no direct way to represent a fraction of the form M\/N, where M &gt; 1. Instead, any such fraction was written as the sum of unit fractions. For example, the fraction 3\/4 could be written as:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/34.png\" style=\"height:60px; width:183px\" \/><\/p>\r\n\r\n<p>Notice that multiple sums may yield the same result; for example, 3\/4 can also be written as<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/342.png\" style=\"height:60px; width:253px\" \/><\/p>\r\n\r\n<p>Your job is to take a fraction M\/N and write it as a sum of unit fractions by way of a &ldquo;greedy&rdquo; search. In a greedy search you continually subtract the largest unit fraction possible until you are left with zero. For example, consider the fraction 9\/20. A greedy search would find the sum 1\/3 + 1\/9 + 1\/180 in three steps, like so:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/9201.png\" style=\"height:60px; width:198px\" \/><img alt=\"\" src=\"\/upload\/images\/9202.png\" style=\"height:60px; width:211px\" \/><img alt=\"\" src=\"\/upload\/images\/9203.png\" style=\"height:60px; width:202px\" \/><\/p>\r\n\r\n<p>Note that at each step we subtracted the largest possible unit fraction from whatever remained of our original fraction.<\/p>\r\n\r\n<p>One additional restriction must be added to keep our solutions from becoming too large: Each time we subtract a unit fraction, we must be left with a fraction whose denominator is strictly less than 1,000,000. For example, consider the fraction 17\/69. The first two unit fractions we would subtract would be 1\/5 and 1\/22, leaving us with 7\/7590. At this point, the largest unit fraction we could subtract would be 1\/1085, leaving us with<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/77590.png\" style=\"height:60px; width:582px\" \/><\/p>\r\n\r\n<p>Unfortunately, this leaves us with a fraction whose denominator is larger than 1,000,000, so we can not use this unit fraction in our sum. We move on to the next largest unit fraction, 1\/1086, which leaves us with<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/775902.png\" style=\"height:60px; width:708px\" \/><\/p>\r\n\r\n<p>Since the final answer reduces to a fraction with a denominator less than 1,000,000, we can use this unit fraction, leaving us with a final answer of 1\/5 + 1\/22 + 1\/1086 + 1\/686895.<\/p>\r\n\r\n<p>In this case we only had to skip over a single fraction. In general, however, you may have to skip over many fractions in order to find one that will work. While you are searching, you will have to perform calculations on many fractions with large denominators; make sure you do so efficiently, or your program may take too long to execute.<\/p>\r\n\r\n<p>You should also make sure you are using a data type large enough to hold the large numbers you are working with. Even though we have restricted denominators to 1,000,000, you may have to calculate intermediate values with denominators up to 1012. A 64-bit integer will be required to hold such values (long in Java, long long in C\/C++).<\/p>\r\n\r\n<p>Finally, it might be worth noting that, by its very nature, the greedy algorithm will always find some answer consisting of fractions with denominators less than 1,000,000 since, at the very least, any fraction can be represented as a sum of unit fractions with its own denominator. For example:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/3999983.png\" style=\"height:60px; width:475px\" \/><\/p>\r\n","input":"<p>The input will consist of a sequence of fractions; one per line. Each line will contain only two integers M and N, where 1 &lt; M &lt; N &lt; 100, representing the fraction M\/N. &nbsp;M and N will have no common divisors greater than 1. The end of the input will be indicated by two zeros: 0 0.<\/p>\r\n","output":"<p>For each input fraction M\/N you are to output a single line containing numbers D<sub>1<\/sub> &le; D<sub>2<\/sub> &le; D<sub>3<\/sub> &le; &hellip; such that:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/output.png\" style=\"height:63px; width:354px\" \/><\/p>\r\n\r\n<p>This should be the first sum arrived at using a greedy search while enforcing the denominator bound of 1,000,000. Each number should be separated by a single space, with no leading or trailing whitespace.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]