시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
0.1 초 512 MB 309 111 80 41.667%

문제

n개의 블랙 고리가 일렬로 연결된 체인이 있다. 블랙 고리 하나는 무게가 정확히 1g 이다. 이 고리들을 이용하여 1g 부터 ng 까지 가능한 모든 무게를 생성하려고 한다. 이를 위해 고리를 일부 풀어야 하는데, 고리를 푸는데 힘이 들어 최소 개의 고리만 풀기를 원한다. 예를 들어 아래의 그림 A.1 처럼 7 개의 고리로 구성된 블랙 체인이 있다고 하자. 이 체인에서 3 번 고리 하나를 풀어 내면 그림 A.2 처럼 3 번 고리 1 개와 두 개의 체인(1~2 번 고리가 연결된 체인과 4~7 번 고리가 연결된 체인)으로 분리된다. 이들을 이용하면 그림 A.3 처럼 1g 부터 7g 까지의 모든 무게를 생성할 수 있다.

그림 A.1: 길이가 7 인 블랙 체인

그림 A.2: 3 개로 분리된 블랙 체인

무게 1g 2g 3g 4g 5g 6g 7g
고리
구성
[3] [1-2] [3]
[1-2]
[4-7] [3]
[4-7]
[1-2]
[4-7]
[3]
[1-2]
[4-7]

그림 A.3: 1g 부터 7g 까지 가능한 모든 무게를 생성하는 고리 구성

n개의 고리가 연결된 체인이 주어져 있을 때, 1g 부터 ng 까지 가능한 모든 무게를 생성하기 위해 풀어야 할 고리의 최소 개수를 구하는 프로그램을 작성하시오.

입력

입력은 표준입력을 사용한다. 첫 번째 줄에 블랙 고리의 개수를 나타내는 양의 정수 n (3 ≤ n ≤ 1018)이 주어진다.

출력

출력은 표준출력을 사용한다. 1g 부터 ng 까지 가능한 모든 무게를 생성하기 위해 풀어야 할 고리의 최소 개수를 출력한다.

예제 입력 1

7

예제 출력 1

1

예제 입력 2

20

예제 출력 2

2
[{"problem_id":"16282","problem_lang":"0","title":"Black Chain","description":"<p>n\uac1c\uc758 \ube14\ub799 \uace0\ub9ac\uac00 \uc77c\ub82c\ub85c \uc5f0\uacb0\ub41c \uccb4\uc778\uc774 \uc788\ub2e4. \ube14\ub799 \uace0\ub9ac \ud558\ub098\ub294 \ubb34\uac8c\uac00 \uc815\ud655\ud788 1g \uc774\ub2e4. \uc774 \uace0\ub9ac\ub4e4\uc744 \uc774\uc6a9\ud558\uc5ec 1g \ubd80\ud130 <em>n<\/em>g \uae4c\uc9c0 \uac00\ub2a5\ud55c \ubaa8\ub4e0 \ubb34\uac8c\ub97c \uc0dd\uc131\ud558\ub824\uace0 \ud55c\ub2e4. \uc774\ub97c \uc704\ud574 \uace0\ub9ac\ub97c \uc77c\ubd80 \ud480\uc5b4\uc57c \ud558\ub294\ub370, \uace0\ub9ac\ub97c \ud478\ub294\ub370 \ud798\uc774 \ub4e4\uc5b4 \ucd5c\uc18c \uac1c\uc758 \uace0\ub9ac\ub9cc \ud480\uae30\ub97c \uc6d0\ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4 \uc544\ub798\uc758 \uadf8\ub9bc A.1 \ucc98\ub7fc 7 \uac1c\uc758 \uace0\ub9ac\ub85c \uad6c\uc131\ub41c \ube14\ub799 \uccb4\uc778\uc774 \uc788\ub2e4\uace0 \ud558\uc790. \uc774 \uccb4\uc778\uc5d0\uc11c 3 \ubc88 \uace0\ub9ac \ud558\ub098\ub97c \ud480\uc5b4 \ub0b4\uba74 \uadf8\ub9bc A.2 \ucc98\ub7fc 3 \ubc88 \uace0\ub9ac 1 \uac1c\uc640 \ub450 \uac1c\uc758 \uccb4\uc778(1~2 \ubc88 \uace0\ub9ac\uac00 \uc5f0\uacb0\ub41c \uccb4\uc778\uacfc 4~7 \ubc88 \uace0\ub9ac\uac00 \uc5f0\uacb0\ub41c \uccb4\uc778)\uc73c\ub85c \ubd84\ub9ac\ub41c\ub2e4. \uc774\ub4e4\uc744 \uc774\uc6a9\ud558\uba74 \uadf8\ub9bc A.3 \ucc98\ub7fc 1g \ubd80\ud130 7g \uae4c\uc9c0\uc758 \ubaa8\ub4e0 \ubb34\uac8c\ub97c \uc0dd\uc131\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/84c90735-fd4c-4678-80a1-9abf12a9fab6\/-\/preview\/\" style=\"width: 226px; height: 52px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\uadf8\ub9bc A.1: \uae38\uc774\uac00 7 \uc778 \ube14\ub799 \uccb4\uc778<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/c77fe2b3-587c-4266-9c20-8a5129f6baad\/-\/preview\/\" style=\"width: 271px; height: 72px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\uadf8\ub9bc A.2: 3 \uac1c\ub85c \ubd84\ub9ac\ub41c \ube14\ub799 \uccb4\uc778<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width: 100%;\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th style=\"text-align: center;\">\ubb34\uac8c<\/th>\r\n\t\t\t<th style=\"text-align: center;\">1g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">2g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">3g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">4g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">5g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">6g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">7g<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align: center;\">\uace0\ub9ac<br \/>\r\n\t\t\t\uad6c\uc131<\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[3]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[1-2]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[3]<\/code><br \/>\r\n\t\t\t<code>[1-2]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[4-7]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[3]<\/code><br \/>\r\n\t\t\t<code>[4-7]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[1-2]<\/code><br \/>\r\n\t\t\t<code>[4-7]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[3]<\/code><br \/>\r\n\t\t\t<code>[1-2]<\/code><br \/>\r\n\t\t\t<code>[4-7]<\/code><\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p style=\"text-align: center;\">\uadf8\ub9bc A.3: 1g \ubd80\ud130 7g \uae4c\uc9c0 \uac00\ub2a5\ud55c \ubaa8\ub4e0 \ubb34\uac8c\ub97c \uc0dd\uc131\ud558\ub294 \uace0\ub9ac \uad6c\uc131<\/p>\r\n\r\n<p><em>n<\/em>\uac1c\uc758 \uace0\ub9ac\uac00 \uc5f0\uacb0\ub41c \uccb4\uc778\uc774 \uc8fc\uc5b4\uc838 \uc788\uc744 \ub54c, 1g \ubd80\ud130 <em>n<\/em>g \uae4c\uc9c0 \uac00\ub2a5\ud55c \ubaa8\ub4e0 \ubb34\uac8c\ub97c \uc0dd\uc131\ud558\uae30 \uc704\ud574 \ud480\uc5b4\uc57c \ud560 \uace0\ub9ac\uc758 \ucd5c\uc18c \uac1c\uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \ud45c\uc900\uc785\ub825\uc744 \uc0ac\uc6a9\ud55c\ub2e4. \uccab \ubc88\uc9f8 \uc904\uc5d0 \ube14\ub799 \uace0\ub9ac\uc758 \uac1c\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \uc591\uc758 \uc815\uc218 <em>n<\/em> (3 &le; <em>n<\/em> &le; 10<sup>18<\/sup>)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\ucd9c\ub825\uc740 \ud45c\uc900\ucd9c\ub825\uc744 \uc0ac\uc6a9\ud55c\ub2e4. 1g \ubd80\ud130 <em>n<\/em>g \uae4c\uc9c0 \uac00\ub2a5\ud55c \ubaa8\ub4e0 \ubb34\uac8c\ub97c \uc0dd\uc131\ud558\uae30 \uc704\ud574 \ud480\uc5b4\uc57c \ud560 \uace0\ub9ac\uc758 \ucd5c\uc18c \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"16282","problem_lang":"1","title":"Black Chain","description":"<p>There is a linear chain of <em>n<\/em> black rings. The weight of every black ring is exactly 1g. We want to generate all possible weights from 1g to <em>n<\/em>g using this black chain. To do this, we need to remove some single rings from the chain. Since it is very difficult work to remove a single ring from the chain, we want to remove the minimum number of rings as possible. For example, consider the black chain with 7 rings as shown in Figure A.1. If ring 3 is removed, the chain would be separated into a single ring, a chain with rings from 1 to 2, and a chain with rings from 4 to 7 as shown in Figure A.2. Using them we can generate all weights from 1g to 7g as shown in Figure A.3.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/84c90735-fd4c-4678-80a1-9abf12a9fab6\/-\/preview\/\" style=\"width: 226px; height: 52px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure A.1: A black chain with a length of 7.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/c77fe2b3-587c-4266-9c20-8a5129f6baad\/-\/preview\/\" style=\"width: 271px; height: 72px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure A.2: A black chain separated into 3 pieces.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width: 100%;\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th style=\"text-align: center;\">Weight<\/th>\r\n\t\t\t<th style=\"text-align: center;\">1g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">2g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">3g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">4g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">5g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">6g<\/th>\r\n\t\t\t<th style=\"text-align: center;\">7g<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align: center;\">Rings<br \/>\r\n\t\t\tConfiguration<\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[3]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[1-2]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[3]<\/code><br \/>\r\n\t\t\t<code>[1-2]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[4-7]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[3]<\/code><br \/>\r\n\t\t\t<code>[4-7]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[1-2]<\/code><br \/>\r\n\t\t\t<code>[4-7]<\/code><\/td>\r\n\t\t\t<td style=\"text-align: center;\"><code>[3]<\/code><br \/>\r\n\t\t\t<code>[1-2]<\/code><br \/>\r\n\t\t\t<code>[4-7]<\/code><\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p style=\"text-align: center;\">Figure A.3: Rings configurations for generating all weights from 1g to 7g.<\/p>\r\n\r\n<p>Given a chain with <em>n<\/em> black rings, write a program to compute the minimum number of rings which should be removed for generating all weights from 1g to <em>n<\/em>g.<\/p>\r\n","input":"<p>Your program is to read from standard input. The input starts with a line containing an integer, <em>n<\/em> (3 &le; <em>n<\/em> &le; 10<sup>18<\/sup>), where <em>n<\/em> is the number of rings in the black chain.<\/p>\r\n","output":"<p>Your program is to write to standard output. Print exactly one line which contains the minimum number of rings which should be removed for generating all weights from 1g to <em>n<\/em>g.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\uc601\uc5b4"}]