시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 375 105 61 24.696%

문제

효진이는 돈이 매우 많은 대학생이다. 어느 날, 효진이가 열심히 공부한 과목의 교수가 F학점을 주겠다고 '농담'을 했다. 하지만 효진이는 화가 나서 폭탄을 마구 만들어내 효진이가 소유한 개인소유의 섬에 무차별 폭파를 가하기로 했다. (효진이는 평화를 사랑하므로 대학교를 폭파하진 않는다.) 폭탄의 이름은 효진봄바이다. 효진봄바는 N개의 부품으로 이루어져있고, 효진봄바를 만들기 위해선 각 부품이 여러 개 필요하다.

효진이의 비밀창고에는 위의 부품들이 일부 보관돼있다. 효진이는 M달러로 암시장에 가서 부품들을 더 사려고 한다. 암시장엔 없는 부품이 없고, 소비자의 선택을 존중하기 위해 각 부품마다 소형 패키지와 대형 패키지가 준비돼있다.

효진이는 M달러로 부품들을 사, 폭탄을 최대한 많이 만들고 싶어한다.

입력

첫 번째 줄에는 정수 N(1 ≤ N ≤ 100)과 M(1 ≤ M ≤ 100000)이 주어진다.

다음 N개의 각 줄마다 부품 하나의 정보를 의미하는 6개의 양의 정수가 주어진다.

  • X(10 ≤ X ≤ 100), 폭탄 한 개에 필요한 해당 부품의 개수
  • Y(1 ≤ Y ≤ 100), 효진이의 비밀창고에 있는 해당 부품의 개수
  • SM(1 ≤ SM < 100), 소형 패키지에 있는 부품의 개수
  • PM(10 ≤ PM < 100), 소형 패키지의 가격
  • SV(SM < SV ≤ 100), 대형 패키지에 있는 부품의 개수
  • PV(PM< PV ≤ 100), 대형 패키지의 가격

출력

효진이가 M달러를 적절히 써서 만들 수 있는 폭탄의 최대 개수를 출력한다.

예제 입력 1

2 100
10 8 10 10 13 11
12 20 6 10 17 24

예제 출력 1

5

힌트

예제에서 99달러로 첫 번째 부품의 소형 패키지 3개와 대형 패키지 1개를, 두 번째 부품의 소형 패키지 1개와 대형 패키지 2개를 구입할 수 있다. (3·10 + 1·11 + 1·10 + 2·24 = 99)

비밀창고에는 첫 번째 부품이 51개 (8 + 3·10 + 1·13), 두 번째 부품이 60개 (20 + 1·6 + 2·17) 있게 되고 총 5개의 폭탄을 만들 수 있다.

[{"problem_id":"2977","problem_lang":"0","title":"\ud3ed\ud0c4\uc81c\uc870","description":"<p>\ud6a8\uc9c4\uc774\ub294 \ub3c8\uc774 \ub9e4\uc6b0 \ub9ce\uc740 \ub300\ud559\uc0dd\uc774\ub2e4. \uc5b4\ub290 \ub0a0, \ud6a8\uc9c4\uc774\uac00 \uc5f4\uc2ec\ud788 \uacf5\ubd80\ud55c \uacfc\ubaa9\uc758 \uad50\uc218\uac00 F\ud559\uc810\uc744 \uc8fc\uaca0\ub2e4\uace0 &#39;\ub18d\ub2f4&#39;\uc744 \ud588\ub2e4. \ud558\uc9c0\ub9cc \ud6a8\uc9c4\uc774\ub294 \ud654\uac00 \ub098\uc11c \ud3ed\ud0c4\uc744 \ub9c8\uad6c \ub9cc\ub4e4\uc5b4\ub0b4 \ud6a8\uc9c4\uc774\uac00 \uc18c\uc720\ud55c \uac1c\uc778\uc18c\uc720\uc758 \uc12c\uc5d0 \ubb34\ucc28\ubcc4 \ud3ed\ud30c\ub97c \uac00\ud558\uae30\ub85c \ud588\ub2e4. (\ud6a8\uc9c4\uc774\ub294 \ud3c9\ud654\ub97c \uc0ac\ub791\ud558\ubbc0\ub85c \ub300\ud559\uad50\ub97c \ud3ed\ud30c\ud558\uc9c4 \uc54a\ub294\ub2e4.) \ud3ed\ud0c4\uc758 \uc774\ub984\uc740 \ud6a8\uc9c4\ubd04\ubc14\uc774\ub2e4. \ud6a8\uc9c4\ubd04\ubc14\ub294 N\uac1c\uc758 \ubd80\ud488\uc73c\ub85c \uc774\ub8e8\uc5b4\uc838\uc788\uace0, \ud6a8\uc9c4\ubd04\ubc14\ub97c \ub9cc\ub4e4\uae30 \uc704\ud574\uc120 \uac01 \ubd80\ud488\uc774 \uc5ec\ub7ec \uac1c \ud544\uc694\ud558\ub2e4.<\/p>\r\n\r\n<p>\ud6a8\uc9c4\uc774\uc758 \ube44\ubc00\ucc3d\uace0\uc5d0\ub294 \uc704\uc758 \ubd80\ud488\ub4e4\uc774 \uc77c\ubd80 \ubcf4\uad00\ub3fc\uc788\ub2e4. \ud6a8\uc9c4\uc774\ub294 M\ub2ec\ub7ec\ub85c \uc554\uc2dc\uc7a5\uc5d0 \uac00\uc11c \ubd80\ud488\ub4e4\uc744 \ub354 \uc0ac\ub824\uace0 \ud55c\ub2e4. \uc554\uc2dc\uc7a5\uc5d4 \uc5c6\ub294 \ubd80\ud488\uc774 \uc5c6\uace0, \uc18c\ube44\uc790\uc758 \uc120\ud0dd\uc744 \uc874\uc911\ud558\uae30 \uc704\ud574 \uac01 \ubd80\ud488\ub9c8\ub2e4 \uc18c\ud615 \ud328\ud0a4\uc9c0\uc640 \ub300\ud615 \ud328\ud0a4\uc9c0\uac00 \uc900\ube44\ub3fc\uc788\ub2e4.<\/p>\r\n\r\n<p>\ud6a8\uc9c4\uc774\ub294 M\ub2ec\ub7ec\ub85c \ubd80\ud488\ub4e4\uc744 \uc0ac, \ud3ed\ud0c4\uc744 \ucd5c\ub300\ud55c \ub9ce\uc774 \ub9cc\ub4e4\uace0 \uc2f6\uc5b4\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \uc815\uc218 N(1 &le; N &le; 100)\uacfc M(1 &le; M &le; 100000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c N\uac1c\uc758 \uac01 \uc904\ub9c8\ub2e4 \ubd80\ud488 \ud558\ub098\uc758 \uc815\ubcf4\ub97c \uc758\ubbf8\ud558\ub294 6\uac1c\uc758 \uc591\uc758 \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>X(10 &le; X &le; 100), \ud3ed\ud0c4 \ud55c \uac1c\uc5d0 \ud544\uc694\ud55c \ud574\ub2f9 \ubd80\ud488\uc758 \uac1c\uc218<\/li>\r\n\t<li>Y(1 &le; Y &le; 100), \ud6a8\uc9c4\uc774\uc758 \ube44\ubc00\ucc3d\uace0\uc5d0 \uc788\ub294 \ud574\ub2f9 \ubd80\ud488\uc758 \uac1c\uc218<\/li>\r\n\t<li>S<sub>M<\/sub>(1 &le; S<sub>M<\/sub> &lt; 100), \uc18c\ud615 \ud328\ud0a4\uc9c0\uc5d0 \uc788\ub294 \ubd80\ud488\uc758 \uac1c\uc218<\/li>\r\n\t<li>P<sub>M<\/sub>(10 &le; P<sub>M<\/sub> &lt; 100), \uc18c\ud615 \ud328\ud0a4\uc9c0\uc758 \uac00\uaca9<\/li>\r\n\t<li>S<sub>V<\/sub>(S<sub>M<\/sub> &lt; S<sub>V<\/sub> &le; 100), \ub300\ud615 \ud328\ud0a4\uc9c0\uc5d0 \uc788\ub294 \ubd80\ud488\uc758 \uac1c\uc218<\/li>\r\n\t<li>P<sub>V<\/sub>(P<sub>M<\/sub>&lt; P<sub>V<\/sub> &le; 100), \ub300\ud615 \ud328\ud0a4\uc9c0\uc758 \uac00\uaca9<\/li>\r\n<\/ul>\r\n","output":"<p>\ud6a8\uc9c4\uc774\uac00 M\ub2ec\ub7ec\ub97c \uc801\uc808\ud788 \uc368\uc11c \ub9cc\ub4e4 \uc218 \uc788\ub294 \ud3ed\ud0c4\uc758 \ucd5c\ub300 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\uc608\uc81c\uc5d0\uc11c 99\ub2ec\ub7ec\ub85c \uccab \ubc88\uc9f8 \ubd80\ud488\uc758 \uc18c\ud615 \ud328\ud0a4\uc9c0 3\uac1c\uc640 \ub300\ud615 \ud328\ud0a4\uc9c0 1\uac1c\ub97c, \ub450 \ubc88\uc9f8 \ubd80\ud488\uc758 \uc18c\ud615 \ud328\ud0a4\uc9c0 1\uac1c\uc640 \ub300\ud615 \ud328\ud0a4\uc9c0 2\uac1c\ub97c \uad6c\uc785\ud560 \uc218 \uc788\ub2e4. (3&middot;10 + 1&middot;11 + 1&middot;10 + 2&middot;24 = 99)<\/p>\r\n\r\n<p>\ube44\ubc00\ucc3d\uace0\uc5d0\ub294 \uccab \ubc88\uc9f8 \ubd80\ud488\uc774 51\uac1c (8 + 3&middot;10 + 1&middot;13), \ub450 \ubc88\uc9f8 \ubd80\ud488\uc774 60\uac1c (20 + 1&middot;6 + 2&middot;17) \uc788\uac8c \ub418\uace0 \ucd1d 5\uac1c\uc758 \ud3ed\ud0c4\uc744 \ub9cc\ub4e4 \uc218 \uc788\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2977","problem_lang":"1","title":"KUHAR","description":"<p>Lisa works as a waitress in a restaurant. Tonight is her birthday so Lisa asked the chef to prepare his special meal for her friends. The chef&#39;s meal is made of N ingredients. To prepare one serving of the meal he needs a certain amount of each ingredient.&nbsp;<\/p>\r\n\r\n<p>There are some ingredients already available in the kitchen and Lisa will buy the rest at the grocery store. The store has all the necessary ingredients, each coming in smaller and larger packages. Lisa has M dollars and wants to spend them so that the chef can make the most servings of his meal.&nbsp;<\/p>\r\n","input":"<p>The first line contains two integers N and M, 1 &le; N &le; 100, 1 &le; M &le; 100000.&nbsp;<\/p>\r\n\r\n<p>Each of the following N lines contains 6 positive integers, information about one ingredient. These specify, in order:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>X, 10 &le; X &le; 100, the amount of the ingredient needed in one serving;&nbsp;<\/li>\r\n\t<li>Y, 1 &le; Y &le; 100, the amount of the ingredient already available in the kitchen;&nbsp;<\/li>\r\n\t<li>S<sub>M<\/sub>, 1 &le; S<sub>M<\/sub> &lt; 100, the size of the smaller package at the store;&nbsp;<\/li>\r\n\t<li>P<sub>M<\/sub>, 10 &le; P<sub>M<\/sub> &lt; 100, the price of the smaller package;&nbsp;<\/li>\r\n\t<li>S<sub>V<\/sub>, S<sub>M<\/sub> &lt; S<sub>V<\/sub> &le; 100, the size of the larger package; and&nbsp;<\/li>\r\n\t<li>P<sub>V<\/sub>, P<sub>M<\/sub> &lt; P<sub>V<\/sub> &le; 100, the price of the larger package.&nbsp;<\/li>\r\n<\/ul>\r\n","output":"<p>Output the largest number of servings the chef can make if Lisa spends her money wisely.&nbsp;<\/p>\r\n","hint":"<p>In the example, for 99 dollars Lisa will buy three smaller and one larger package of the first ingredient, as well as one smaller and two larger packages of the second ingredient (3&middot;10 + 1&middot;11 + 1&middot;10 + 2&middot;24 = 99).&nbsp;<\/p>\r\n\r\n<p>The chef will then have 51 units (8 + 3&middot;10 + 1&middot;13) of the first ingredient and 60 units (20 + 1&middot;6 + 2&middot;17) of the second ingredient, enough for 5 servings.&nbsp;<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]