시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
5 초 128 MB 73 39 34 57.627%

문제

안암골짜기에는 ALPS(Anam Lotated Pill Station) 라는 이름의 유명한 제약회사가 있다. 그곳이 유명한 이유는, 그 회사가 제조하는 모든 약은 오로지 "소주"와 "맥주" 두 가지 재료를 통해서만 만들어지기 때문이다. ALPS의 사장 재헌은 소주와 맥주를 적절히 섞음으로써 모든 병을 치료할 수 있다는 믿음 하에 약을 팔고있다.

새해를 맞이하여 약을 거하기 마신 사장 재헌은 회사에 다음과 같은 신년계획을 지시했다.

  1. 회사에서 사용하는 모든 플라스크 및 비커의 용량은 전부 1/n (n은 자연수) 꼴이여야 한다
  2. 판매 및 보관를 위한 모든 약은 플라스크 및 비커에 가득 담겨져 있어야한다
  3. 일주일에 세번 동쪽을 향해 "알프스 개객끼"를 외친다.

ALPS 회사 직원들 모두 약을 거하게 마셨기 때문에 이 지령에 대해 불만을 가지지 않고 잘 따르기로 하였다.

어느 날, 회사의 신묘한 약의 기운을 원하는 손님 홍준이 회사에 찾아와서 "정제헌"을 요구하였다. ("정제헌"은 ALPS에서 자랑하는, 잘 정제된 약이다.) ALPS의 신년계획에 의해서 모든 약은 자연수의 역수 꼴의 비커에 가득 담겨져있다. "정제헌" 또한 1/n 비커에 가득 담겨져있는 상태다. 

ALPS 사장 재헌은 홍준에게 "정제헌" 1/n 을 전부 주고싶지 않다. 때문에 그는 "정제헌" 1/n 을 각각 1/x 와 1/y 의 용량을 가진 플라스크에 나눠담아서 1/x 에 담긴 "정제헌"을 홍준에게 주고 1/y 는 회사에 남기기로 하였다. 그런데 아차! 1/x 플라스크는 판매용이고, 1/y 플라스크는 보관용이다. 신년계획에 의해 1/x 플라스크와 1/y 플라스크 모두에 "정제헌"이 가득 담겨져 있어야 한다는 뜻이다!

재헌은 1/x 플라스크와 1/y 플라스크를 고르는 도중 문득 (팔라는 약은 안팔고) 신년계획을 지키면서 "정제헌"을 두 플라스크에 나눠담는 경우의 수가 궁금해졌다. 재헌이의 궁금증을 빠르게 해결하고, 홍준이에게 "정제헌"을 무사히 팔 수 있도록 도와주자.

입력

각 줄마다 테스트 케이스가 주어진다. 

각 테스트 케이스는 한줄로 "정제헌"의 용량이 "1/n" 형태로 주어진다. 1 ≤ n ≤ 10 000. 을 만족하며, 입력으로 공백이 들어오지 않는다고 가정한다.

출력

각 케이스마다 한 줄씩 "정제헌"을 플라스크에 나눠담을 수 있는 경우의 수를 출력한다. 즉, 1/x+ 1/y = 1/n 을 만족하는 자연수 {x,y} 쌍의 가지수를 출력한다. 두 플라스크 중 하나는 판매용이기 때문에, {x,y} 와 {y,x} 는 서로 다른 경우가 아니다.

예제 입력 1

1/2
1/4
1/1
1/5000

예제 출력 1

2
3
1
32
[{"problem_id":"9273","problem_lang":"0","title":"\uc815\uc81c\ud5cc\uc744 \ud314\uc790!","description":"<p>\uc548\uc554\uace8\uc9dc\uae30\uc5d0\ub294 ALPS(Anam Lotated Pill Station) \ub77c\ub294 \uc774\ub984\uc758 \uc720\uba85\ud55c \uc81c\uc57d\ud68c\uc0ac\uac00 \uc788\ub2e4. \uadf8\uacf3\uc774 \uc720\uba85\ud55c \uc774\uc720\ub294, \uadf8 \ud68c\uc0ac\uac00 \uc81c\uc870\ud558\ub294 \ubaa8\ub4e0 \uc57d\uc740 \uc624\ub85c\uc9c0 &quot;\uc18c\uc8fc&quot;\uc640 &quot;\ub9e5\uc8fc&quot; \ub450 \uac00\uc9c0 \uc7ac\ub8cc\ub97c \ud1b5\ud574\uc11c\ub9cc \ub9cc\ub4e4\uc5b4\uc9c0\uae30 \ub54c\ubb38\uc774\ub2e4. ALPS\uc758 \uc0ac\uc7a5 \uc7ac\ud5cc\uc740 \uc18c\uc8fc\uc640 \ub9e5\uc8fc\ub97c \uc801\uc808\ud788 \uc11e\uc74c\uc73c\ub85c\uc368 \ubaa8\ub4e0 \ubcd1\uc744 \uce58\ub8cc\ud560 \uc218 \uc788\ub2e4\ub294 \ubbff\uc74c \ud558\uc5d0 \uc57d\uc744 \ud314\uace0\uc788\ub2e4.<\/p>\r\n\r\n<p>\uc0c8\ud574\ub97c \ub9de\uc774\ud558\uc5ec \uc57d\uc744 \uac70\ud558\uae30 \ub9c8\uc2e0 \uc0ac\uc7a5 \uc7ac\ud5cc\uc740 \ud68c\uc0ac\uc5d0 \ub2e4\uc74c\uacfc \uac19\uc740 \uc2e0\ub144\uacc4\ud68d\uc744 \uc9c0\uc2dc\ud588\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>\ud68c\uc0ac\uc5d0\uc11c \uc0ac\uc6a9\ud558\ub294 \ubaa8\ub4e0 \ud50c\ub77c\uc2a4\ud06c \ubc0f \ube44\ucee4\uc758 \uc6a9\ub7c9\uc740 \uc804\ubd80 1\/n (n\uc740 \uc790\uc5f0\uc218) \uaf34\uc774\uc5ec\uc57c \ud55c\ub2e4<\/li>\r\n\t<li>\ud310\ub9e4 \ubc0f \ubcf4\uad00\ub97c \uc704\ud55c \ubaa8\ub4e0 \uc57d\uc740 \ud50c\ub77c\uc2a4\ud06c \ubc0f \ube44\ucee4\uc5d0 \uac00\ub4dd \ub2f4\uaca8\uc838 \uc788\uc5b4\uc57c\ud55c\ub2e4<\/li>\r\n\t<li>\uc77c\uc8fc\uc77c\uc5d0 \uc138\ubc88 \ub3d9\ucabd\uc744 \ud5a5\ud574 &quot;\uc54c\ud504\uc2a4 \uac1c\uac1d\ub07c&quot;\ub97c \uc678\uce5c\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>ALPS \ud68c\uc0ac \uc9c1\uc6d0\ub4e4 \ubaa8\ub450 \uc57d\uc744 \uac70\ud558\uac8c \ub9c8\uc168\uae30 \ub54c\ubb38\uc5d0 \uc774 \uc9c0\ub839\uc5d0 \ub300\ud574 \ubd88\ub9cc\uc744 \uac00\uc9c0\uc9c0 \uc54a\uace0 \uc798 \ub530\ub974\uae30\ub85c \ud558\uc600\ub2e4.<\/p>\r\n\r\n<p>\uc5b4\ub290 \ub0a0, \ud68c\uc0ac\uc758 \uc2e0\ubb18\ud55c \uc57d\uc758 \uae30\uc6b4\uc744 \uc6d0\ud558\ub294 \uc190\ub2d8 \ud64d\uc900\uc774 \ud68c\uc0ac\uc5d0 \ucc3e\uc544\uc640\uc11c &quot;\uc815\uc81c\ud5cc&quot;\uc744 \uc694\uad6c\ud558\uc600\ub2e4. (&quot;\uc815\uc81c\ud5cc&quot;\uc740 ALPS\uc5d0\uc11c \uc790\ub791\ud558\ub294, \uc798 \uc815\uc81c\ub41c \uc57d\uc774\ub2e4.) ALPS\uc758 \uc2e0\ub144\uacc4\ud68d\uc5d0 \uc758\ud574\uc11c \ubaa8\ub4e0 \uc57d\uc740 \uc790\uc5f0\uc218\uc758 \uc5ed\uc218 \uaf34\uc758 \ube44\ucee4\uc5d0 \uac00\ub4dd \ub2f4\uaca8\uc838\uc788\ub2e4. &quot;\uc815\uc81c\ud5cc&quot; \ub610\ud55c 1\/n \ube44\ucee4\uc5d0 \uac00\ub4dd \ub2f4\uaca8\uc838\uc788\ub294 \uc0c1\ud0dc\ub2e4.&nbsp;<\/p>\r\n\r\n<p>ALPS \uc0ac\uc7a5 \uc7ac\ud5cc\uc740 \ud64d\uc900\uc5d0\uac8c &quot;\uc815\uc81c\ud5cc&quot; 1\/n \uc744 \uc804\ubd80 \uc8fc\uace0\uc2f6\uc9c0 \uc54a\ub2e4. \ub54c\ubb38\uc5d0 \uadf8\ub294 &quot;\uc815\uc81c\ud5cc&quot; 1\/n \uc744 \uac01\uac01 1\/x \uc640 1\/y \uc758 \uc6a9\ub7c9\uc744 \uac00\uc9c4 \ud50c\ub77c\uc2a4\ud06c\uc5d0 \ub098\ub220\ub2f4\uc544\uc11c 1\/x \uc5d0 \ub2f4\uae34 &quot;\uc815\uc81c\ud5cc&quot;\uc744 \ud64d\uc900\uc5d0\uac8c \uc8fc\uace0 1\/y \ub294 \ud68c\uc0ac\uc5d0 \ub0a8\uae30\uae30\ub85c \ud558\uc600\ub2e4. \uadf8\ub7f0\ub370 \uc544\ucc28! 1\/x \ud50c\ub77c\uc2a4\ud06c\ub294 \ud310\ub9e4\uc6a9\uc774\uace0, 1\/y \ud50c\ub77c\uc2a4\ud06c\ub294 \ubcf4\uad00\uc6a9\uc774\ub2e4. \uc2e0\ub144\uacc4\ud68d\uc5d0 \uc758\ud574 1\/x \ud50c\ub77c\uc2a4\ud06c\uc640 1\/y \ud50c\ub77c\uc2a4\ud06c \ubaa8\ub450\uc5d0 &quot;\uc815\uc81c\ud5cc&quot;\uc774 \uac00\ub4dd \ub2f4\uaca8\uc838 \uc788\uc5b4\uc57c \ud55c\ub2e4\ub294 \ub73b\uc774\ub2e4!<\/p>\r\n\r\n<p>\uc7ac\ud5cc\uc740 1\/x \ud50c\ub77c\uc2a4\ud06c\uc640 1\/y \ud50c\ub77c\uc2a4\ud06c\ub97c \uace0\ub974\ub294 \ub3c4\uc911 \ubb38\ub4dd (\ud314\ub77c\ub294 \uc57d\uc740 \uc548\ud314\uace0) \uc2e0\ub144\uacc4\ud68d\uc744 \uc9c0\ud0a4\uba74\uc11c &quot;\uc815\uc81c\ud5cc&quot;\uc744 \ub450 \ud50c\ub77c\uc2a4\ud06c\uc5d0 \ub098\ub220\ub2f4\ub294 \uacbd\uc6b0\uc758 \uc218\uac00 \uad81\uae08\ud574\uc84c\ub2e4. \uc7ac\ud5cc\uc774\uc758 \uad81\uae08\uc99d\uc744 \ube60\ub974\uac8c \ud574\uacb0\ud558\uace0, \ud64d\uc900\uc774\uc5d0\uac8c &quot;\uc815\uc81c\ud5cc&quot;\uc744 \ubb34\uc0ac\ud788 \ud314 \uc218 \uc788\ub3c4\ub85d \ub3c4\uc640\uc8fc\uc790.<\/p>\r\n","input":"<p>\uac01 \uc904\ub9c8\ub2e4 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud55c\uc904\ub85c &quot;\uc815\uc81c\ud5cc&quot;\uc758 \uc6a9\ub7c9\uc774 &quot;1\/n&quot; \ud615\ud0dc\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;1 &le; n &le; 10 000. \uc744 \ub9cc\uc871\ud558\uba70, \uc785\ub825\uc73c\ub85c \uacf5\ubc31\uc774 \ub4e4\uc5b4\uc624\uc9c0 \uc54a\ub294\ub2e4\uace0 \uac00\uc815\ud55c\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \ud55c \uc904\uc529 &quot;\uc815\uc81c\ud5cc&quot;\uc744 \ud50c\ub77c\uc2a4\ud06c\uc5d0 \ub098\ub220\ub2f4\uc744 \uc218 \uc788\ub294 \uacbd\uc6b0\uc758 \uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \uc989,&nbsp;1\/x+ 1\/y = 1\/n \uc744 \ub9cc\uc871\ud558\ub294 \uc790\uc5f0\uc218 {x,y} \uc30d\uc758 \uac00\uc9c0\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \ub450 \ud50c\ub77c\uc2a4\ud06c \uc911 \ud558\ub098\ub294 \ud310\ub9e4\uc6a9\uc774\uae30 \ub54c\ubb38\uc5d0, {x,y} \uc640 {y,x} \ub294 \uc11c\ub85c \ub2e4\ub978 \uacbd\uc6b0\uac00 \uc544\ub2c8\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9273","problem_lang":"1","title":"Fractional Lotion","description":"<p>Freddy practices various kinds of alternative medicine, such as homeopathy. This practice is based on the belief that successively diluting some substances in water or alcohol while shaking them thoroughly produces remedies for many diseases.<\/p>\r\n\r\n<p>This year, Freddy&rsquo;s vegetables appear to have caught some disease and he decided to experiment a little bit and investigate whether homeopathy works for vegetables too. As Freddy is also a big fan of mathematics, he does not strictly insist that the substances have small concentrations, but he instead requires the concentrations to be reciprocals of integers (1\/n). In experiments, some of the vegetables really got much better.<\/p>\r\n\r\n<p>Seeing Freddy&rsquo;s successes, a fellow gardener also wants to try one of these potions and asks for a \ufb02ask. Freddy has one \ufb02ask of the potion in concentration 1\/n and does not want to give it all out. Your task is to \ufb01nd out in how many ways the potion can be split into two \ufb02asks and diluted so that the resulting potions both have the same volume as the original one and the resulting concentrations also are reciprocals of integers &mdash; we do not want to end up with useless \ufb02uid, do we?<\/p>\r\n","input":"<p>Each line of the input describes one test case. The line contains the expression &ldquo;1\/n&rdquo; representing the original concentration. You are guaranteed that 1 &le; n &le; 10 000. There are no spaces on the line.<\/p>\r\n","output":"<p>For each test case, output a single line with the total number of distinct pairs {x, y} of positive integers satisfying 1\/x+ 1\/y = 1\/n. Pairs di\ufb00ering only in the order of the two numbers are not considered di\ufb00erent.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]