시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
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문제

프로그래머는 다양한 프로그래밍언어에서 함수를 오버로드할 수 있다. 함수 오버로드란 같은 함수의 이름을 가지고 있으나, 매개변수가 다른 함수이다. 그러나, Ada와 같은 언어에서는 리턴 타입도 오버로드할 수 있다. 즉, 같은 이름과 매개변수를 가지고 있으나, 리턴타입이 다를 수도 있는 것이다.

다음은 함수 오버로딩의 예이다.

char f(float x, int y)
char f(float x, float y)
float f(float x, float y)
float g(float x, int y)
float g(int x, float y)

위와 같이 함수 선언이 있을 때, 아래와 같은 변수 선언과 함수 호출을 포함한 프로그램을 작성할 수 있다.

float a = 1.0, b = 2.0;
int c = 3;
float d = g(c, f(a, b));

f의 처음 두 선언은 위의 함수 f에 해당하지 않는다. 하지만, 세 번째 함수는 f(<float>, <float>)와 같은 형식이라 매개변수의 타입이 같고, 리턴 타입도 g(<int>, <float>)float과 같기 때문에 해당한다. 따라서, 3번째 f와 두 번째 g를 사용할 수 있다.

이렇게 3번째 f와 2번째 g를 사용했기 때문에, 다음과 같이 숫자와 함께 표현할 수 있다.

d = g2(c, f3(a, b))

하지만, 위의 함수 선언을 이용해서 c = g(a, f(a, c))는 사용할 수 없다.

마지막으로 다음과 같은 함수 선언이 있다고 하자.

float x(float w)
int x(float w)
char y(float v)
char y(int v)

위와 같은 선언에서 다음과 같은 함수 호출은 애매모호(ambiguous)하기 때문에 사용할 수 없다.

float a = 1.0
char c = y(x(a))

입력

입력은 여러 개의 함수 선언과 함수 호출으로 이루어져 있다. 함수 선언은 한 줄에 하나씩 주어지며, 다음과 같은 형태이다.

name num_params param(1) param(2) ... param(num_params) rettype

name은 함수의 이름이고, param(i)는 i번째 매개변수의 데이터 타입이다. rettype은 함수의 리턴값의 데이터 타입이다. (이 문제에서 void 함수는 없다) num_params는 적어도 1이고 많아야 9이다. 매개변수는 이름을 갖지 않는다. 함수의 이름은 알파벳 소문자 한글자이고, 데이터 타입은 알파벳 대문자 한글자이다. 같은 이름을 갖는 다른 함수는 연속으로 나타나며, 같은 이름을 갖는 함수는 많아야 500개이다. 두 함수의 선언이 정확하게 일치하는 경우는 없다.

문제에서 설명한 것 처럼 함수에 숫자를 붙여서 나타내는 것의 숫자를 시리얼 넘버라고 한다. 이때, 시리얼 넘버는 새로운 함수의 이름이 시작할 때 1이 되고, 선언이 나타날때마다 1씩 증가한다.

함수 선언의 마지막에는 '#'가 주어진다. 그 다음줄부터 함수 호출이 한 줄에 하나씩 주어진다.

함수 호출은 다음과 같은 문법을 따른다.

<function_call> := <data_type> = <right_hand_side>
<right_hand_side> := <fname> <num_params> <param_list>
<param_list> := <param> | <param_list> <param>
<param> := <data_type> | <right_hand_side>
<data_type> := <upper_case_letter>
<num_params> := '1' | '2' | ... | '9'
<fname> := <lower_case_letter>

:=와 |는 문법 정의에만 등장하는 기호이고, 실제 함수 호출에는 나타나지 않는다. 각 함수 호출에서 호출하는 함수의 이름은 500개를 넘지 않는다. 함수 호출의 마지막 줄에는 '#'가 하나 주어진다.

출력

입력으로 주어진 각 함수 호출에 대해서, 만약 어떤 함수를 사용했는지 유일하게 결정할 수 있다면, 입력 함수 호출에서 함수의 이름에 시리얼 넘버만 추가한 형태로 출력한다. 만약, 해당하는 함수가 없어서 호출할 수 없다면 "impossible"을 출력하고, 애매모호해서 호출하는 방법이 여러 가지라면, "ambiguous"를 출력하고, 경우의 수를 출력한다. 만약, 1000가지를 넘는 방법으로 호출할 수 있다면 "> 1000"을 경우의 수 대신 출력한다.

예제 입력 1

f 2 A B C
f 2 A A C
f 2 A A A
g 2 A B A
g 2 B A A
x 1 A A
x 1 A B
y 1 A C
y 1 B C
h 2 A B E
h 2 C D F
k 2 E F A
#
A = g 2 B f 2 A A
B = g 2 A f 2 A B
C = y 1 x 1 A
A = k 2 h 2 A B h 2 C D
#

예제 출력 1

A = g2 2 B f3 2 A A
impossible
ambiguous 2
A = k1 2 h1 2 A B h2 2 C D
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(\uc774 \ubb38\uc81c\uc5d0\uc11c void \ud568\uc218\ub294 \uc5c6\ub2e4) num_params\ub294 \uc801\uc5b4\ub3c4 1\uc774\uace0 \ub9ce\uc544\uc57c 9\uc774\ub2e4. \ub9e4\uac1c\ubcc0\uc218\ub294 \uc774\ub984\uc744 \uac16\uc9c0 \uc54a\ub294\ub2e4. \ud568\uc218\uc758 \uc774\ub984\uc740 \uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790 \ud55c\uae00\uc790\uc774\uace0, \ub370\uc774\ud130 \ud0c0\uc785\uc740 \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790 \ud55c\uae00\uc790\uc774\ub2e4. \uac19\uc740 \uc774\ub984\uc744 \uac16\ub294 \ub2e4\ub978 \ud568\uc218\ub294 \uc5f0\uc18d\uc73c\ub85c \ub098\ud0c0\ub098\uba70, \uac19\uc740 \uc774\ub984\uc744 \uac16\ub294 \ud568\uc218\ub294 \ub9ce\uc544\uc57c 500\uac1c\uc774\ub2e4. \ub450 \ud568\uc218\uc758 \uc120\uc5b8\uc774 \uc815\ud655\ud558\uac8c \uc77c\uce58\ud558\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ubb38\uc81c\uc5d0\uc11c \uc124\uba85\ud55c \uac83 \ucc98\ub7fc \ud568\uc218\uc5d0 \uc22b\uc790\ub97c \ubd99\uc5ec\uc11c \ub098\ud0c0\ub0b4\ub294 \uac83\uc758 \uc22b\uc790\ub97c \uc2dc\ub9ac\uc5bc \ub118\ubc84\ub77c\uace0 \ud55c\ub2e4. \uc774\ub54c, \uc2dc\ub9ac\uc5bc \ub118\ubc84\ub294 \uc0c8\ub85c\uc6b4 \ud568\uc218\uc758 \uc774\ub984\uc774 \uc2dc\uc791\ud560 \ub54c 1\uc774 \ub418\uace0, \uc120\uc5b8\uc774 \ub098\ud0c0\ub0a0\ub54c\ub9c8\ub2e4 1\uc529 \uc99d\uac00\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud568\uc218 \uc120\uc5b8\uc758 \ub9c8\uc9c0\ub9c9\uc5d0\ub294 &#39;#&#39;\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8 \ub2e4\uc74c\uc904\ubd80\ud130 \ud568\uc218 \ud638\ucd9c\uc774 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ud568\uc218 \ud638\ucd9c\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ubb38\ubc95\uc744 \ub530\ub978\ub2e4.<\/p>\r\n\r\n<pre>\r\n&lt;function_call&gt; := &lt;data_type&gt; = &lt;right_hand_side&gt;\r\n&lt;right_hand_side&gt; := &lt;fname&gt; &lt;num_params&gt; &lt;param_list&gt;\r\n&lt;param_list&gt; := &lt;param&gt; | &lt;param_list&gt; &lt;param&gt;\r\n&lt;param&gt; := &lt;data_type&gt; | &lt;right_hand_side&gt;\r\n&lt;data_type&gt; := &lt;upper_case_letter&gt;\r\n&lt;num_params&gt; := &#39;1&#39; | &#39;2&#39; | ... | &#39;9&#39;\r\n&lt;fname&gt; := &lt;lower_case_letter&gt;\r\n<\/pre>\r\n\r\n<p>:=\uc640 |\ub294 \ubb38\ubc95 \uc815\uc758\uc5d0\ub9cc \ub4f1\uc7a5\ud558\ub294 \uae30\ud638\uc774\uace0, \uc2e4\uc81c \ud568\uc218 \ud638\ucd9c\uc5d0\ub294 \ub098\ud0c0\ub098\uc9c0 \uc54a\ub294\ub2e4. \uac01 \ud568\uc218 \ud638\ucd9c\uc5d0\uc11c \ud638\ucd9c\ud558\ub294 \ud568\uc218\uc758 \uc774\ub984\uc740 500\uac1c\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4. \ud568\uc218 \ud638\ucd9c\uc758 \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 &#39;#&#39;\uac00 \ud558\ub098 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4 \uac01 \ud568\uc218 \ud638\ucd9c\uc5d0 \ub300\ud574\uc11c, \ub9cc\uc57d \uc5b4\ub5a4 \ud568\uc218\ub97c \uc0ac\uc6a9\ud588\ub294\uc9c0 \uc720\uc77c\ud558\uac8c \uacb0\uc815\ud560 \uc218 \uc788\ub2e4\uba74, \uc785\ub825 \ud568\uc218 \ud638\ucd9c\uc5d0\uc11c \ud568\uc218\uc758 \uc774\ub984\uc5d0 \uc2dc\ub9ac\uc5bc \ub118\ubc84\ub9cc \ucd94\uac00\ud55c \ud615\ud0dc\ub85c \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d, \ud574\ub2f9\ud558\ub294 \ud568\uc218\uac00 \uc5c6\uc5b4\uc11c \ud638\ucd9c\ud560 \uc218 \uc5c6\ub2e4\uba74 &quot;impossible&quot;\uc744 \ucd9c\ub825\ud558\uace0, \uc560\ub9e4\ubaa8\ud638\ud574\uc11c \ud638\ucd9c\ud558\ub294 \ubc29\ubc95\uc774 \uc5ec\ub7ec \uac00\uc9c0\ub77c\uba74, &quot;ambiguous&quot;\ub97c \ucd9c\ub825\ud558\uace0, \uacbd\uc6b0\uc758 \uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d, 1000\uac00\uc9c0\ub97c \ub118\ub294 \ubc29\ubc95\uc73c\ub85c \ud638\ucd9c\ud560 \uc218 \uc788\ub2e4\uba74 &quot;&gt; 1000&quot;\uc744 \uacbd\uc6b0\uc758 \uc218 \ub300\uc2e0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4802","problem_lang":"1","title":"Function Overloading","description":"<p>Many programming languages (including C, C++ and Java) allow the programmer to define overloaded functions, i.e., several functions that have the same name but different parameter lists. However, in some languages (such as Ada) it is possible to overload by return type as well. That is, it is possible for two functions to have the same name and parameter list, but different return types. For example:<\/p>\r\n\r\n<pre>\r\nchar f(float x, int y)\r\nchar f(float x, float y)\r\nfloat f(float x, float y)\r\nfloat g(float x, int y)\r\nfloat g(int x, float y)\r\n<\/pre>\r\n\r\n<p>Given these function declarations, suppose the program contains the following variable declarations and function call:<\/p>\r\n\r\n<pre>\r\nfloat a = 1.0, b = 2.0;\r\nint c = 3;\r\nfloat d = g(c, f(a, b));\r\n<\/pre>\r\n\r\n<p>The \ufb01rst two declarations of f would not work here, but the third one does: <code>f(&lt;float&gt;, &lt;float&gt;) returns &lt;float&gt;<\/code>, which reduces the function call to <code>g(&lt;int&gt;, &lt;float&gt;)<\/code>, and the second declaration of <code>g<\/code> will return the <code>&lt;float&gt;<\/code> that can be assigned to variable <code>d<\/code>. Since we used the 3rd version of <code>f<\/code> and the 2nd version of <code>g<\/code>, we say that the given function call is resolved by<\/p>\r\n\r\n<pre>\r\nd = g2(c, f3(a, b))\r\n<\/pre>\r\n\r\n<p>Using the same declarations, the function call <code>c = g(a, f(a, c))<\/code> cannot be resolved. As a final example, consider the function declarations<\/p>\r\n\r\n<pre>\r\nfloat x(float w)\r\nint x(float w)\r\nchar y(float v)\r\nchar y(int v)\r\n<\/pre>\r\n\r\n<p>and the variable declaration and function call<\/p>\r\n\r\n<pre>\r\nfloat a = 1.0\r\nchar c = y(x(a))\r\n<\/pre>\r\n\r\n<p>In this case, we see that the resolution of the given function call is ambiguous.<\/p>\r\n","input":"<p>The input will consist of a list of function declarations (one per line). Each function declaration in the input will have the form<\/p>\r\n\r\n<pre>\r\nname num_params param(1) param(2) ... param(num_params) rettype<\/pre>\r\n\r\n<p>where name is the function name, param(i) is the data type of the i-th parameter, and rettype is the data type of the return value (this problem does not deal with &#39;void&#39; functions); num_params is at least 1 and at most 9. Note that the parameters do not have names, it is only their data types that matter. Function names are single lower case letters, while data types are single upper case letters. Different functions with the same name will appear consecutively in the input, and there are at most 500 different functions for each function name. No two function declarations will be exactly the same. Each function declaration carries with it, implicitly, a &#39;serial number&#39;. The serial numbers start out at 1 and increase until a new function name is encountered; then they start out at 1 again.<\/p>\r\n\r\n<p>The list of function declarations in the input will be concluded by a line containing only a pound sign (&#39;#&#39;). Thereafter will come a list of function calls (one per line).<\/p>\r\n\r\n<p>The structure of each function call can be de\ufb01ned by the grammar:<\/p>\r\n\r\n<pre>\r\n&lt;function_call&gt; := &lt;data_type&gt; = &lt;right_hand_side&gt;\r\n&lt;right_hand_side&gt; := &lt;fname&gt; &lt;num_params&gt; &lt;param_list&gt;\r\n&lt;param_list&gt; := &lt;param&gt; | &lt;param_list&gt; &lt;param&gt;\r\n&lt;param&gt; := &lt;data_type&gt; | &lt;right_hand_side&gt;\r\n&lt;data_type&gt; := &lt;upper_case_letter&gt;\r\n&lt;num_params&gt; := &#39;1&#39; | &#39;2&#39; | ... | &#39;9&#39;\r\n&lt;fname&gt; := &lt;lower_case_letter&gt;<\/pre>\r\n\r\n<p>Here the symbols := and | are used to de\ufb01ne the grammar, they will not show up in the actual function call. Furthermore, in any function call the speci\ufb01ed num_params will match exactly the number of parameters given in the parameter list. Each function call will contain no more than 500 function names (not necessarily distinct). The end of the list of function calls will be marked by a line containing only a pound sign. In each function declaration, as well as in each function call in the input, adjacent tokens (lower or upper case letters, digits, equals sign) will be separated by exactly one blank space.<\/p>\r\n","output":"<p>For each function call in the input, there will be one line of output. If the function call can be resolved uniquely, the output will be the same as the input function call, but each function name will have a serial number appended to it, to indicate which version of the function was used there. Otherwise, the output will be either &#39;impossible&#39; or &#39;ambiguous&#39;, as explained above. If it is ambiguous, also output the number of ways the function call can be resolved, or print &#39;&gt; 1000&#39; if there are more than 1000 ways.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]