시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 20 17 12 85.714%

문제

로마인들은 알파벳의 일곱 문자를 통해서 수를 표현했다. 다음은 문자와 그에 대응하는 값을 보여주는 표이다.

  • I = 1
  • V = 5
  • X = 10
  • L = 50
  • C = 100
  • D = 500
  • M = 1000

이 7개의 숫자와 다음 규칙들을 통해서, 로마인들은 원하는 모든 수를 적을 수 있었다.

  • 만약에 주어지는 숫자들이 감소순으로 좌에서 우로 적혀있다면, 덧셈법칙을 쓸 수 있다. 예를 들어, 로마숫자 MMCLVII는 1000 + 1000 + 100 + 50 + 5 + 1 + 1 = 2157이다.
  • 이는 로마숫자를 지나치게 길게 하는 단점이 있어 뺄셈법칙 역시 존재한다. 만약에 왼쪽에 오른쪽에 있는 문자보다 작은 숫자가 적혀있다면, 왼쪽에 있는 수를 빼야한다. 예를 들어, 로마숫자 MCMXIV는 1000 − 100 + 1000 + 10 − 1 + 5 = 1914이다.
  • I, X, C를 네번 이상 연달아 쓸 수 없다. IIII는 IV와 같은 더 짧은 꼴로 바꿔야 한다.
  • V, L, D를 두번 이상 연달아 쓸 수 없다.
  • M에 대해서는 제한이 없다.
  • 뺄셈 법칙은 한개의 왼쪽 숫자에 대해서만 작동한다, 즉, IV는 4이지만, IIV는 3이 아니며 로마 숫자도 아니다.
  • 뺄셈 법칙에 붙을 수 있는 왼쪽 숫자는 I, X, C 뿐이다.
  • 뺄셈 법칙에서 I는 V / X 옆에만, X는 L / C 옆에만, C는 D / M 옆에만 올 수 있다.

이 규칙을 만족하는 로마숫자들이 주어질 때 이를 십진수 정수로 바꾸시오.

입력

첫번째 줄에는 N이 주어진다. N은 변경할 로마 숫자의 수이다.

이후 N개의 줄에 로마숫자가 하나씩 주어진다. 로마숫자는 위에 적혀있는 규칙을 따르며 10000 이하의 자연수이다.

출력

주어지는 로마숫자를 10진수 정수로 바꾸어서 한 줄씩 출력하라.

예제 입력 1

3
IX
MMDCII
DXII

예제 출력 1

9
2602
512

힌트

Daft Punk - Veridis Quo

[{"problem_id":"4531","problem_lang":"0","title":"Verdis Quo","description":"<p>\ub85c\ub9c8\uc778\ub4e4\uc740 \uc54c\ud30c\ubcb3\uc758 \uc77c\uacf1 \ubb38\uc790\ub97c \ud1b5\ud574\uc11c \uc218\ub97c \ud45c\ud604\ud588\ub2e4. \ub2e4\uc74c\uc740 \ubb38\uc790\uc640 \uadf8\uc5d0 \ub300\uc751\ud558\ub294 \uac12\uc744 \ubcf4\uc5ec\uc8fc\ub294 \ud45c\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>I = 1<\/li>\r\n\t<li>V = 5<\/li>\r\n\t<li>X = 10<\/li>\r\n\t<li>L = 50<\/li>\r\n\t<li>C = 100<\/li>\r\n\t<li>D = 500<\/li>\r\n\t<li>M = 1000<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774 7\uac1c\uc758 \uc22b\uc790\uc640 \ub2e4\uc74c \uaddc\uce59\ub4e4\uc744 \ud1b5\ud574\uc11c, \ub85c\ub9c8\uc778\ub4e4\uc740 \uc6d0\ud558\ub294 \ubaa8\ub4e0 \uc218\ub97c \uc801\uc744 \uc218 \uc788\uc5c8\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ub9cc\uc57d\uc5d0 \uc8fc\uc5b4\uc9c0\ub294 \uc22b\uc790\ub4e4\uc774 \uac10\uc18c\uc21c\uc73c\ub85c \uc88c\uc5d0\uc11c \uc6b0\ub85c \uc801\ud600\uc788\ub2e4\uba74, \ub367\uc148\ubc95\uce59\uc744 \uc4f8 \uc218 \uc788\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \ub85c\ub9c8\uc22b\uc790 MMCLVII\ub294 1000 + 1000 + 100 + 50 + 5 + 1 + 1 = 2157\uc774\ub2e4.<\/li>\r\n\t<li>\uc774\ub294 \ub85c\ub9c8\uc22b\uc790\ub97c \uc9c0\ub098\uce58\uac8c \uae38\uac8c \ud558\ub294 \ub2e8\uc810\uc774 \uc788\uc5b4 \ube84\uc148\ubc95\uce59 \uc5ed\uc2dc \uc874\uc7ac\ud55c\ub2e4. \ub9cc\uc57d\uc5d0 \uc67c\ucabd\uc5d0 \uc624\ub978\ucabd\uc5d0 \uc788\ub294 \ubb38\uc790\ubcf4\ub2e4 \uc791\uc740 \uc22b\uc790\uac00 \uc801\ud600\uc788\ub2e4\uba74, \uc67c\ucabd\uc5d0 \uc788\ub294 \uc218\ub97c \ube7c\uc57c\ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \ub85c\ub9c8\uc22b\uc790 MCMXIV\ub294 1000 &minus; 100 + 1000 + 10 &minus; 1 + 5 = 1914\uc774\ub2e4.<\/li>\r\n\t<li>I, X, C\ub97c \ub124\ubc88 \uc774\uc0c1 \uc5f0\ub2ec\uc544 \uc4f8 \uc218 \uc5c6\ub2e4. IIII\ub294 IV\uc640 \uac19\uc740 \ub354 \uc9e7\uc740 \uaf34\ub85c \ubc14\uafd4\uc57c \ud55c\ub2e4.<\/li>\r\n\t<li>V, L, D\ub97c \ub450\ubc88 \uc774\uc0c1 \uc5f0\ub2ec\uc544 \uc4f8 \uc218 \uc5c6\ub2e4.<\/li>\r\n\t<li>M\uc5d0 \ub300\ud574\uc11c\ub294 \uc81c\ud55c\uc774 \uc5c6\ub2e4.<\/li>\r\n\t<li>\ube84\uc148 \ubc95\uce59\uc740 \ud55c\uac1c\uc758 \uc67c\ucabd \uc22b\uc790\uc5d0 \ub300\ud574\uc11c\ub9cc \uc791\ub3d9\ud55c\ub2e4, \uc989, IV\ub294 4\uc774\uc9c0\ub9cc, IIV\ub294 3\uc774 \uc544\ub2c8\uba70 \ub85c\ub9c8 \uc22b\uc790\ub3c4 \uc544\ub2c8\ub2e4.<\/li>\r\n\t<li>\ube84\uc148 \ubc95\uce59\uc5d0 \ubd99\uc744 \uc218 \uc788\ub294 \uc67c\ucabd \uc22b\uc790\ub294 I, X, C \ubfd0\uc774\ub2e4.<\/li>\r\n\t<li>\ube84\uc148 \ubc95\uce59\uc5d0\uc11c I\ub294 V \/ X \uc606\uc5d0\ub9cc, X\ub294 L \/ C \uc606\uc5d0\ub9cc, C\ub294 D \/ M \uc606\uc5d0\ub9cc \uc62c \uc218 \uc788\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774 \uaddc\uce59\uc744 \ub9cc\uc871\ud558\ub294 \ub85c\ub9c8\uc22b\uc790\ub4e4\uc774 \uc8fc\uc5b4\uc9c8 \ub54c \uc774\ub97c \uc2ed\uc9c4\uc218 \uc815\uc218\ub85c \ubc14\uafb8\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\ubc88\uc9f8 \uc904\uc5d0\ub294 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. N\uc740 \ubcc0\uacbd\ud560 \ub85c\ub9c8 \uc22b\uc790\uc758 \uc218\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc774\ud6c4 N\uac1c\uc758 \uc904\uc5d0 \ub85c\ub9c8\uc22b\uc790\uac00 \ud558\ub098\uc529 \uc8fc\uc5b4\uc9c4\ub2e4. \ub85c\ub9c8\uc22b\uc790\ub294 \uc704\uc5d0 \uc801\ud600\uc788\ub294 \uaddc\uce59\uc744 \ub530\ub974\uba70 10000 \uc774\ud558\uc758 \uc790\uc5f0\uc218\uc774\ub2e4.<\/p>\r\n","output":"<p>\uc8fc\uc5b4\uc9c0\ub294 \ub85c\ub9c8\uc22b\uc790\ub97c 10\uc9c4\uc218 \uc815\uc218\ub85c \ubc14\uafb8\uc5b4\uc11c \ud55c \uc904\uc529 \ucd9c\ub825\ud558\ub77c.<\/p>\r\n","hint":"<p>Daft Punk - Veridis Quo<\/p>\r\n\r\n<p><iframe frameborder=\"0\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/OgcY6qlzdf8\" width=\"420\"><\/iframe><\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4531","problem_lang":"1","title":"Verdis Quo","description":"<p>The Romans used letters from their Latin alphabet to represent each of the seven numerals in their number system. The list below shows which letters they used and what numeric value each of those letters represents:<\/p>\r\n\r\n<ul>\r\n\t<li>I = 1<\/li>\r\n\t<li>V = 5<\/li>\r\n\t<li>X = 10<\/li>\r\n\t<li>L = 50<\/li>\r\n\t<li>C = 100<\/li>\r\n\t<li>D = 500<\/li>\r\n\t<li>M = 1000<\/li>\r\n<\/ul>\r\n\r\n<p>Using these seven numerals, any desired number can be formed by following the two basic additive and subtractive rules. To form a number using the additive rule the Roman numerals are simply written from left to right in descending order, and the value of each roman numeral is added together. For example, the number MMCLVII has the value 1000 + 1000 + 100 + 50 + 5 + 1 + 1 = 2157. Using the addition rule alone could lead to very long strings of letters, so the subtraction rule was invented as a result. Using this rule, a smaller Roman numeral to the left of a larger one is subtracted from the total. In other words, the number MCMXIV is interpreted as 1000 &minus; 100 + 1000 + 10 &minus; 1 + 5 = 1914.<\/p>\r\n\r\n<p>Over time the Roman number writing system became more standardized and several additional rules were developed. The additional rules used today are:<\/p>\r\n\r\n<ol>\r\n\t<li>The I, X, or C Roman numerals may only be repeated up to three times in succession. In other words, the number 4 must be represented as IV and not as IIII.<\/li>\r\n\t<li>The V, L, or D numerals may never be repeated in succession, and the M numeral may be repeated as many times as necessary.<\/li>\r\n\t<li>Only one smaller numeral can be placed to the left of another. For example, the number 18 is represented as XVIII but not as XIIX.<\/li>\r\n\t<li>Only the I, X, or C can be used as subtractive numerals.<\/li>\r\n\t<li>A subtractive I can only be used to the left of a V or X. Likewise a X can only appear to the left of a L or C, and a C can only be used to the left of a D or M. For example, 49 must be written as XLIX and not as IL.<\/li>\r\n<\/ol>\r\n\r\n<p>Your goal is to write a program which converts Roman numbers to base 10 integers.<\/p>\r\n","input":"<p>The input to this problem will consist of the following:<\/p>\r\n\r\n<ul>\r\n\t<li>A line with a single integer &quot;N&quot; (1 &le; N &le; 1000), where N indicates how many Roman numbers are to be converted.<\/li>\r\n\t<li>A series of N lines of input with each line containing one Roman number. Each Roman number will be in the range of 1 to 10,000 (inclusive) and will obey all of the rules laid out in the problem&#39;s introduction.<\/li>\r\n<\/ul>\r\n","output":"<p>For each of the N Roman numbers, print the equivalent base 10 integer, one per line.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]