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문제

리스트를 계산할 수 있는 인터프리터를 만들어보자. 이 인터프리터는 (우선순위가 높은 것에서 낮은 것 순으로) 괄호, 배열 슬라이싱, 단항 연산자, 이항 연산자, 리스트 이어붙이기, 대입 연산자를 포함하는 여러 표현식을 다룰 수 있어야 한다.

배열 슬라이싱 연산자는 [begin:end] 형식을 따르며, 표현식 뒤에 놓여 해당 리스트의 부분 리스트를 반환한다. 인덱스는 0부터 세고, begin은 포함하지만 end는 포함하지 않는다. 따라서 L[1:3]은 리스트 L의 2번째 원소부터 3번째 원소까지를 의미한다. begin이나 end는 생략할 수 있다. begin이 생략되면 0, end가 생략되면 리스트의 길이인 것으로 보면 된다. 만약 end가 begin보다 작거나 같으면 결과는 빈 리스트이다. begin과 end는 15를 넘지 않는다. 인덱스가 범위를 벗어나는 일 또한 없다.

단항 연산자(+, -, *, /)는 리스트 앞에 놓여 리스트의 첫 두 원소를 삭제하고, 두 원소에 해당 연산자를 이항 연산자로 적용한 다음, 결과를 다시 리스트의 제일 앞에 넣는 작업을 반복한다. 예를 들어 +(1:2:4)는 1과 2를 삭제하고, 둘을 더한 3을 리스트 앞에 넣어서 +(3:4)가 된다. 다시 3과 4를 삭제하고, 둘을 더한 7을 리스트 앞에 넣으면 +(7)이 된다. 이제 리스트가 원소 하나만을 포함하므로 결과값은 7이 된다. 계산 과정에서 단항 연산자가 무한하거나 빈 리스트에 적용되는 일은 없다.

이항 연산자(+, -, *, /)는 두 리스트의 대응하는 위치에 있는 원소끼리 연산한다. 만약 한 리스트가 다른 쪽보다 짧으면, 짧은 쪽의 마지막 원소를 뒤에 더 넣어 둘의 길이를 맞춘다. 따라서 (1:2:3)+(4:5)는 (4:5)의 뒤에 마지막 원소인 5를 하나 더 넣어 (4:5:5)로 길이를 맞춰주고, 대응하는 위치끼리 더하여 (5:7:8)이 된다. 한쪽 리스트가 아예 빈 리스트이면 연산 결과는 빈 리스트이다. 예시로 A-A[2:2]는 뒤쪽이 빈 리스트이므로 결과도 빈 리스트이다. 이항 곱셈과 나눗셈은 덧셈과 뺄셈보다 우선순위가 높다.

리스트 이어붙이기는 쌍점(:) 연산자로 주어진다. 상수는 길이 1짜리 리스트로 본다.

대입은 등호(=) 연산자로 주어진다. 모든 변수는 한 글자이고, 대소문자를 구분하며 재정의되지 않는다. 변수의 정의는 이전에 정의되지 않은 변수를 포함하지 않지만, 자기 자신을 재귀적 정의로 포함하는 건 가능하다.

모든 나눗셈은 정수 나눗셈이고 C/C++의 정수 나눗셈 규칙을 따른다. 0으로 나누는 일은 발생하지 않는다. 표현식에 있는 상수는 항상 정수이고, 단항 연산자가 상수 바로 앞에 놓이는 경우는 없다. 계산 과정에서 나타나는 모든 정수는 32비트 정수형으로 표현할 수 있다.

입력

입력은 여러 줄로 구성된다. 각 줄은 대입문 또는 “print” 키워드로 시작하는 출력문이다. 각 줄의 길이는 50보다 작거나 같고, 입력은 30줄을 넘지 않는다.

출력

각 출력문마다 키워드 뒤에 오는 리스트의 원소를 공백 없이 쌍점(:)으로 구분하여 출력한다. 출력할 리스트의 길이는 항상 15보다 크지 않다.

예제 입력 1

print +(1:2:4)
print (1:2:3:4:5)[1:3]
print (1:2:3)+(4:5)
N=1:(N+1)
E=2*N
print E[:5]
print +E[:10]
F=1:1:(F+F[1:])
print F[:10]
#

예제 출력 1

7
2:3
5:7:8
2:4:6:8:10
110
1:1:2:3:5:8:13:21:34:55
[{"problem_id":"7607","problem_lang":"0","title":"\ub9ac\uc2a4\ud2b8 \uacc4\uc0b0\uae30","description":"<p>\ub9ac\uc2a4\ud2b8\ub97c \uacc4\uc0b0\ud560 \uc218 \uc788\ub294 \uc778\ud130\ud504\ub9ac\ud130\ub97c \ub9cc\ub4e4\uc5b4\ubcf4\uc790. \uc774 \uc778\ud130\ud504\ub9ac\ud130\ub294 (\uc6b0\uc120\uc21c\uc704\uac00 \ub192\uc740 \uac83\uc5d0\uc11c \ub0ae\uc740 \uac83 \uc21c\uc73c\ub85c) \uad04\ud638, \ubc30\uc5f4 \uc2ac\ub77c\uc774\uc2f1, \ub2e8\ud56d \uc5f0\uc0b0\uc790, \uc774\ud56d \uc5f0\uc0b0\uc790, \ub9ac\uc2a4\ud2b8 \uc774\uc5b4\ubd99\uc774\uae30, \ub300\uc785 \uc5f0\uc0b0\uc790\ub97c \ud3ec\ud568\ud558\ub294 \uc5ec\ub7ec \ud45c\ud604\uc2dd\uc744 \ub2e4\ub8f0 \uc218 \uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ubc30\uc5f4 \uc2ac\ub77c\uc774\uc2f1 \uc5f0\uc0b0\uc790\ub294 [begin:end] \ud615\uc2dd\uc744 \ub530\ub974\uba70, \ud45c\ud604\uc2dd \ub4a4\uc5d0 \ub193\uc5ec \ud574\ub2f9 \ub9ac\uc2a4\ud2b8\uc758 \ubd80\ubd84 \ub9ac\uc2a4\ud2b8\ub97c \ubc18\ud658\ud55c\ub2e4. \uc778\ub371\uc2a4\ub294 0\ubd80\ud130 \uc138\uace0, begin\uc740 \ud3ec\ud568\ud558\uc9c0\ub9cc end\ub294 \ud3ec\ud568\ud558\uc9c0 \uc54a\ub294\ub2e4. \ub530\ub77c\uc11c L[1:3]\uc740 \ub9ac\uc2a4\ud2b8 L\uc758 2\ubc88\uc9f8 \uc6d0\uc18c\ubd80\ud130 3\ubc88\uc9f8 \uc6d0\uc18c\uae4c\uc9c0\ub97c \uc758\ubbf8\ud55c\ub2e4. begin\uc774\ub098 end\ub294 \uc0dd\ub7b5\ud560 \uc218 \uc788\ub2e4. begin\uc774 \uc0dd\ub7b5\ub418\uba74 0, end\uac00 \uc0dd\ub7b5\ub418\uba74 \ub9ac\uc2a4\ud2b8\uc758 \uae38\uc774\uc778 \uac83\uc73c\ub85c \ubcf4\uba74 \ub41c\ub2e4. \ub9cc\uc57d end\uac00 begin\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\uc73c\uba74 \uacb0\uacfc\ub294 \ube48 \ub9ac\uc2a4\ud2b8\uc774\ub2e4. begin\uacfc end\ub294 15\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4. \uc778\ub371\uc2a4\uac00 \ubc94\uc704\ub97c \ubc97\uc5b4\ub098\ub294 \uc77c \ub610\ud55c \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ub2e8\ud56d \uc5f0\uc0b0\uc790(+, -, *, \/)\ub294 \ub9ac\uc2a4\ud2b8 \uc55e\uc5d0 \ub193\uc5ec \ub9ac\uc2a4\ud2b8\uc758 \uccab \ub450 \uc6d0\uc18c\ub97c \uc0ad\uc81c\ud558\uace0, \ub450 \uc6d0\uc18c\uc5d0 \ud574\ub2f9 \uc5f0\uc0b0\uc790\ub97c \uc774\ud56d \uc5f0\uc0b0\uc790\ub85c \uc801\uc6a9\ud55c \ub2e4\uc74c, \uacb0\uacfc\ub97c \ub2e4\uc2dc \ub9ac\uc2a4\ud2b8\uc758 \uc81c\uc77c \uc55e\uc5d0 \ub123\ub294 \uc791\uc5c5\uc744 \ubc18\ubcf5\ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4 +(1:2:4)\ub294 1\uacfc 2\ub97c \uc0ad\uc81c\ud558\uace0, \ub458\uc744 \ub354\ud55c 3\uc744 \ub9ac\uc2a4\ud2b8 \uc55e\uc5d0 \ub123\uc5b4\uc11c +(3:4)\uac00 \ub41c\ub2e4. \ub2e4\uc2dc 3\uacfc 4\ub97c \uc0ad\uc81c\ud558\uace0, \ub458\uc744 \ub354\ud55c 7\uc744 \ub9ac\uc2a4\ud2b8 \uc55e\uc5d0 \ub123\uc73c\uba74 +(7)\uc774 \ub41c\ub2e4. \uc774\uc81c \ub9ac\uc2a4\ud2b8\uac00 \uc6d0\uc18c \ud558\ub098\ub9cc\uc744 \ud3ec\ud568\ud558\ubbc0\ub85c \uacb0\uacfc\uac12\uc740 7\uc774 \ub41c\ub2e4. \uacc4\uc0b0 \uacfc\uc815\uc5d0\uc11c \ub2e8\ud56d \uc5f0\uc0b0\uc790\uac00 \ubb34\ud55c\ud558\uac70\ub098 \ube48 \ub9ac\uc2a4\ud2b8\uc5d0 \uc801\uc6a9\ub418\ub294 \uc77c\uc740 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uc774\ud56d \uc5f0\uc0b0\uc790(+, -, *, \/)\ub294 \ub450 \ub9ac\uc2a4\ud2b8\uc758 \ub300\uc751\ud558\ub294 \uc704\uce58\uc5d0 \uc788\ub294 \uc6d0\uc18c\ub07c\ub9ac \uc5f0\uc0b0\ud55c\ub2e4. \ub9cc\uc57d \ud55c \ub9ac\uc2a4\ud2b8\uac00 \ub2e4\ub978 \ucabd\ubcf4\ub2e4 \uc9e7\uc73c\uba74, \uc9e7\uc740 \ucabd\uc758 \ub9c8\uc9c0\ub9c9 \uc6d0\uc18c\ub97c \ub4a4\uc5d0 \ub354 \ub123\uc5b4 \ub458\uc758 \uae38\uc774\ub97c \ub9de\ucd98\ub2e4. \ub530\ub77c\uc11c (1:2:3)+(4:5)\ub294 (4:5)\uc758 \ub4a4\uc5d0 \ub9c8\uc9c0\ub9c9 \uc6d0\uc18c\uc778 5\ub97c \ud558\ub098 \ub354 \ub123\uc5b4 (4:5:5)\ub85c \uae38\uc774\ub97c \ub9de\ucdb0\uc8fc\uace0, \ub300\uc751\ud558\ub294 \uc704\uce58\ub07c\ub9ac \ub354\ud558\uc5ec (5:7:8)\uc774 \ub41c\ub2e4. \ud55c\ucabd \ub9ac\uc2a4\ud2b8\uac00 \uc544\uc608 \ube48 \ub9ac\uc2a4\ud2b8\uc774\uba74 \uc5f0\uc0b0 \uacb0\uacfc\ub294 \ube48 \ub9ac\uc2a4\ud2b8\uc774\ub2e4. \uc608\uc2dc\ub85c A-A[2:2]\ub294 \ub4a4\ucabd\uc774 \ube48 \ub9ac\uc2a4\ud2b8\uc774\ubbc0\ub85c \uacb0\uacfc\ub3c4 \ube48 \ub9ac\uc2a4\ud2b8\uc774\ub2e4. \uc774\ud56d \uacf1\uc148\uacfc \ub098\ub217\uc148\uc740 \ub367\uc148\uacfc \ube84\uc148\ubcf4\ub2e4 \uc6b0\uc120\uc21c\uc704\uac00 \ub192\ub2e4.<\/p>\r\n\r\n<p>\ub9ac\uc2a4\ud2b8 \uc774\uc5b4\ubd99\uc774\uae30\ub294 \uc30d\uc810(:) \uc5f0\uc0b0\uc790\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uc0c1\uc218\ub294 \uae38\uc774 1\uc9dc\ub9ac \ub9ac\uc2a4\ud2b8\ub85c \ubcf8\ub2e4.<\/p>\r\n\r\n<p>\ub300\uc785\uc740 \ub4f1\ud638(=) \uc5f0\uc0b0\uc790\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \ubaa8\ub4e0 \ubcc0\uc218\ub294 \ud55c \uae00\uc790\uc774\uace0, \ub300\uc18c\ubb38\uc790\ub97c \uad6c\ubd84\ud558\uba70 \uc7ac\uc815\uc758\ub418\uc9c0 \uc54a\ub294\ub2e4. \ubcc0\uc218\uc758 \uc815\uc758\ub294 \uc774\uc804\uc5d0 \uc815\uc758\ub418\uc9c0 \uc54a\uc740 \ubcc0\uc218\ub97c \ud3ec\ud568\ud558\uc9c0 \uc54a\uc9c0\ub9cc, \uc790\uae30 \uc790\uc2e0\uc744 \uc7ac\uadc0\uc801 \uc815\uc758\ub85c \ud3ec\ud568\ud558\ub294 \uac74 \uac00\ub2a5\ud558\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \ub098\ub217\uc148\uc740 \uc815\uc218 \ub098\ub217\uc148\uc774\uace0 C\/C++\uc758 \uc815\uc218 \ub098\ub217\uc148 \uaddc\uce59\uc744 \ub530\ub978\ub2e4. 0\uc73c\ub85c \ub098\ub204\ub294 \uc77c\uc740 \ubc1c\uc0dd\ud558\uc9c0 \uc54a\ub294\ub2e4. \ud45c\ud604\uc2dd\uc5d0 \uc788\ub294 \uc0c1\uc218\ub294 \ud56d\uc0c1 \uc815\uc218\uc774\uace0, \ub2e8\ud56d \uc5f0\uc0b0\uc790\uac00 \uc0c1\uc218 \ubc14\ub85c \uc55e\uc5d0 \ub193\uc774\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4. \uacc4\uc0b0 \uacfc\uc815\uc5d0\uc11c \ub098\ud0c0\ub098\ub294 \ubaa8\ub4e0 \uc815\uc218\ub294 32\ube44\ud2b8 \uc815\uc218\ud615\uc73c\ub85c \ud45c\ud604\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uc904\ub85c \uad6c\uc131\ub41c\ub2e4. \uac01 \uc904\uc740 \ub300\uc785\ubb38 \ub610\ub294 &ldquo;print&rdquo; \ud0a4\uc6cc\ub4dc\ub85c \uc2dc\uc791\ud558\ub294 \ucd9c\ub825\ubb38\uc774\ub2e4. \uac01 \uc904\uc758 \uae38\uc774\ub294 50\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\uace0, \uc785\ub825\uc740 30\uc904\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ucd9c\ub825\ubb38\ub9c8\ub2e4 \ud0a4\uc6cc\ub4dc \ub4a4\uc5d0 \uc624\ub294 \ub9ac\uc2a4\ud2b8\uc758 \uc6d0\uc18c\ub97c \uacf5\ubc31 \uc5c6\uc774 \uc30d\uc810(:)\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4. \ucd9c\ub825\ud560 \ub9ac\uc2a4\ud2b8\uc758 \uae38\uc774\ub294 \ud56d\uc0c1 15\ubcf4\ub2e4 \ud06c\uc9c0 \uc54a\ub2e4.<a id=\"comment-46624\"><\/a><\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"7607","problem_lang":"1","title":"List Calculator","description":"<p>Your job is to write an interpreter for a small list calculator. The interpreter must be able to handle various expressions that consist of the following operators (from most tightly bound to least tightly bound): parentheses, array slicing, unary operator, binary operator, list concatenation, and assignment.&nbsp;&nbsp;<\/p>\r\n\r\n<p>An array slicing operator follows the [begin:end] format and is applied as a postfix to an expression. Items are 0-indexed and include the beginning item but do not include the end item. Thus L[1:3] takes from the second to the third element of the list L. The begin or end may be omitted and is expected to mean all items from the beginning or all items until the end, respectively. If the end is less than or equal to the begin, the result will be an empty list.&nbsp;The begin and end do not exceed 15. All indices are not out of range.<\/p>\r\n\r\n<p>A unary operator (+, -, *, \/) on a list continuously removes the first two items of the list, and replaces them with the result of the operator being applied. For example +(1:2:4) takes 1 and 2 off the front of the list, applies &quot;+&quot; to them, to get 3 which is placed on the front of the list, leaving +(3:4). Again we take the first two items, remove them, apply +, and insert the result into the front of the list, leaving +(7). Now the list has fewer than two items so we return the list 7.&nbsp;Unary operators are applied only to finite, non-empty lists.<\/p>\r\n\r\n<p>A binary operator (+, -, *, \/) is applied to the first element of both lists, then the second element and so on. If one list is shorter than the other, then the shorter list is padded with its last item until both lists are the same length. Thus (1:2:3)+(4:5) is (5:7:8). Note that applying a binary operator to an empty list produces an empty list. For example, A-A[2:2] must result in an empty list, for A[2:2] is empty. Binary multiplication and division have the higher precedence than addition and subtraction.<\/p>\r\n\r\n<p>List concatenation is provided with the colon (:) operator. Standalone numbers are assumed to be a list containing a single item.&nbsp;&nbsp;<\/p>\r\n\r\n<p>Assignment is provided with the equals sign (=) operator. Variables are single letters, case sensitive, and never redefined. The definition of a variable must not contain any variable that has not been defined previously, but can contain the variable itself as recursive definition.&nbsp;&nbsp;<\/p>\r\n\r\n<p>All divisions are integer divisions and follow the integer division rule in C\/C++. None of the expressions will cause a division by zero. The given numbers are always integers and are not directly followed by a unary operator.&nbsp;Every integer appearing in the calculation can be represented by 32-bit integers.&nbsp;<\/p>\r\n","input":"<p>Input will consist of several lines. Each line is assignment statement or print statement, which is starting with the keyword &ldquo;print.&quot;&nbsp;The length of each line is less than or equal to 50 and the total number of lines does not exceed 30.&nbsp;<\/p>\r\n","output":"<p>For each print statement, print the result of an expression followed by the keyword to standard output. Items of the expression must be separated with a colon (:) with no spaces. The maximum number of items to be output will be no more than 15.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > South Pacific > South Pacific Region > New Zealand Programming Contest > NZPC 2008 M번