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문제

상근이가 살고있는 도시에는 헌책방이 있다. 데이트 비용을 점점 감당할 수 없게된 상근이는 집에 있는 책을 헌책방에 팔려고 한다. 각 책에는 기준 가격이 정해져있고, 헌책방은 이 가격으로 매입한다.

헌책방은 책을 소설, 만화, 잡지등 10개의 장르로 분류한다. 장르는 1부터 10까지 번호가 매겨져 있다. 이 가게는 같은 장르의 책을 한 번에 매입할 때, 고가로 매입해 준다.

같은 장르의 책을 T권 매입할 때, 책 한 권 당 매입 가격이 기준 가격보다 T-1원 높아진다. 예를 들어, 같은 장르에서 기준 가격이 100원, 120원, 150원인 책을 한 번에 헌책방에 판다면, 매입 가격은 102원, 122원, 152원이 된다.

상근이는 내일 데이트를 가기 위해서 가지고 있는 책 N권 중 K권을 팔려고 한다.

책 N권의 기준 가격과 장르 번호가 주어졌을 때, 총 매입 가격의 최댓값을 구하는 프로그램을 작성하시오.

입력

첫째 줄에 상근이가 가지고 있는 책의 개수 N과 파려고 하는 책의 수 K가 주어진다. (2 ≤ N ≤ 2000, 1 ≤ K < N)

둘째 줄부터 N개 줄에는 상근이가 가지고 있는 책의 기준 가격 Ci와 장르 Gi가 공백으로 구분되어 주어진다. (1 ≤ Ci ≤ 105, 1 ≤ Gi ≤ 10)

출력

첫째 줄에 총 매입 가격의 최댓값을 출력한다.

예제 입력 1

7 4
14 1
13 2
12 3
14 2
8 2
16 3
11 2

예제 출력 1

60

힌트

2, 4, 6, 7번 책을 판매하면 된다.

[{"problem_id":"5550","problem_lang":"0","title":"\ud5cc\ucc45\ubc29","description":"<p>\r\n\t\uc0c1\uadfc\uc774\uac00 \uc0b4\uace0\uc788\ub294 \ub3c4\uc2dc\uc5d0\ub294 \ud5cc\ucc45\ubc29\uc774 \uc788\ub2e4. \ub370\uc774\ud2b8 \ube44\uc6a9\uc744 \uc810\uc810 \uac10\ub2f9\ud560 \uc218 \uc5c6\uac8c\ub41c \uc0c1\uadfc\uc774\ub294 \uc9d1\uc5d0 \uc788\ub294 \ucc45\uc744 \ud5cc\ucc45\ubc29\uc5d0 \ud314\ub824\uace0 \ud55c\ub2e4. \uac01 \ucc45\uc5d0\ub294 \uae30\uc900 \uac00\uaca9\uc774 \uc815\ud574\uc838\uc788\uace0, \ud5cc\ucc45\ubc29\uc740 \uc774 \uac00\uaca9\uc73c\ub85c \ub9e4\uc785\ud55c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ud5cc\ucc45\ubc29\uc740 \ucc45\uc744 \uc18c\uc124, \ub9cc\ud654, \uc7a1\uc9c0\ub4f1 10\uac1c\uc758 \uc7a5\ub974\ub85c \ubd84\ub958\ud55c\ub2e4. \uc7a5\ub974\ub294 1\ubd80\ud130 10\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \uc774 \uac00\uac8c\ub294 \uac19\uc740 \uc7a5\ub974\uc758 \ucc45\uc744 \ud55c \ubc88\uc5d0 \ub9e4\uc785\ud560 \ub54c, \uace0\uac00\ub85c \ub9e4\uc785\ud574 \uc900\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uac19\uc740 \uc7a5\ub974\uc758 \ucc45\uc744 T\uad8c \ub9e4\uc785\ud560 \ub54c, \ucc45 \ud55c \uad8c \ub2f9 \ub9e4\uc785 \uac00\uaca9\uc774 \uae30\uc900 \uac00\uaca9\ubcf4\ub2e4 T-1\uc6d0 \ub192\uc544\uc9c4\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uac19\uc740 \uc7a5\ub974\uc5d0\uc11c \uae30\uc900 \uac00\uaca9\uc774 100\uc6d0, 120\uc6d0, 150\uc6d0\uc778 \ucc45\uc744 \ud55c \ubc88\uc5d0 \ud5cc\ucc45\ubc29\uc5d0 \ud310\ub2e4\uba74, \ub9e4\uc785 \uac00\uaca9\uc740 102\uc6d0, 122\uc6d0, 152\uc6d0\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uc0c1\uadfc\uc774\ub294 \ub0b4\uc77c \ub370\uc774\ud2b8\ub97c \uac00\uae30 \uc704\ud574\uc11c \uac00\uc9c0\uace0 \uc788\ub294 \ucc45 N\uad8c \uc911 K\uad8c\uc744 \ud314\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ucc45 N\uad8c\uc758 \uae30\uc900 \uac00\uaca9\uacfc \uc7a5\ub974 \ubc88\ud638\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ucd1d \ub9e4\uc785 \uac00\uaca9\uc758 \ucd5c\ub313\uac12\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 \uc0c1\uadfc\uc774\uac00 \uac00\uc9c0\uace0 \uc788\ub294 \ucc45\uc758 \uac1c\uc218 N\uacfc \ud30c\ub824\uace0 \ud558\ub294 \ucc45\uc758 \uc218 K\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (2 &le; N &le; 2000, 1 &le; K &lt; N)<\/p>\r\n\r\n<p>\r\n\t\ub458\uc9f8 \uc904\ubd80\ud130 N\uac1c \uc904\uc5d0\ub294 \uc0c1\uadfc\uc774\uac00 \uac00\uc9c0\uace0 \uc788\ub294 \ucc45\uc758 \uae30\uc900 \uac00\uaca9 C<sub>i<\/sub>\uc640 \uc7a5\ub974 G<sub>i<\/sub>\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; C<sub>i<\/sub> &le; 10<sup>5<\/sup>, 1 &le; G<sub>i<\/sub> &le; 10)<\/p>\r\n","output":"<p>\r\n\t\uccab\uc9f8 \uc904\uc5d0 \ucd1d \ub9e4\uc785 \uac00\uaca9\uc758 \ucd5c\ub313\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\r\n\t2, 4, 6, 7\ubc88 \ucc45\uc744 \ud310\ub9e4\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"5550","problem_lang":"2","title":"\u53e4\u672c\u5c4b (Books)","description":"<p>\u3042\u306a\u305f\u306e\u753a\u306b\u306f JOI \u53e4\u672c\u5e97\u3068\u3044\u3046\u8001\u8217\u306e\u53e4\u672c\u5c4b\u304c\u3042\u308a\uff0c\u3042\u306a\u305f\u306f JOI \u53e4\u672c\u5e97\u3092\u3088\u304f\u5229\u7528\u3057\u3066\u3044\u308b\uff0e\u305d\u308c\u305e\u308c\u306e\u672c\u306b\u306f\u57fa\u6e96\u4fa1\u683c\u304c\u5b9a\u307e\u3063\u3066\u304a\u308a\uff0cJOI \u53e4\u672c\u5e97\u306b\u884c\u3051\u3070\u305d\u306e\u4fa1\u683c\u3067\u8cb7\u3044\u53d6\u3063\u3066\u3082\u3089\u3048\u308b\uff0e<\/p>\r\n\r\n<p>JOI \u53e4\u672c\u5e97\u3067\u306f\uff0c\u672c\u3092\u5c0f\u8aac\u30fb\u6f2b\u753b\u30fb\u96d1\u8a8c\u306a\u3069 10 \u7a2e\u985e\u306e\u30b8\u30e3\u30f3\u30eb\u306b\u5206\u985e\u3057\u3066\u6271\u3063\u3066\u3044\u308b\uff0e\u30b8\u30e3\u30f3\u30eb\u306b\u306f 1\u304b\u3089 10 \u307e\u3067\u306e\u756a\u53f7\u304c\u4ed8\u3051\u3089\u308c\u3066\u3044\u308b\uff0eJOI \u53e4\u672c\u5e97\u306b\u306f\uff0c\u540c\u3058\u30b8\u30e3\u30f3\u30eb\u306e\u672c\u3092\u307e\u3068\u3081\u3066\u8cb7\u3044\u53d6\u3063\u3066\u3082\u3089\u3046\u3068\u9ad8\u5024\u3067\u8cb7\u3044\u53d6\u3063\u3066\u304f\u308c\u308b\u3068\u3044\u3046\u30b5\u30fc\u30d3\u30b9\u304c\u3042\u308b\uff0e\u5177\u4f53\u7684\u306b\u306f\uff0c\u540c\u3058\u30b8\u30e3\u30f3\u30eb\u306e\u672c\u3092\u307e\u3068\u3081\u3066 T \u518a\u8cb7\u3044\u53d6\u3063\u3066\u3082\u3089\u3046\u5834\u5408\uff0c\u305d\u306e\u30b8\u30e3\u30f3\u30eb\u306e\u672c\u306e\u4e00\u518a\u3042\u305f\u308a\u306e\u8cb7\u53d6\u4fa1\u683c\u304c\u57fa\u6e96\u4fa1\u683c\u3088\u308a T - 1 \u5186\u9ad8\u304f\u306a\u308b\uff0e\u4f8b\u3048\u3070\uff0c\u540c\u3058\u30b8\u30e3\u30f3\u30eb\u3067\u57fa\u6e96\u4fa1\u683c 100 \u5186\uff0c120 \u5186\uff0c150 \u5186\u306e\u672c\u3092\u307e\u3068\u3081\u3066 JOI \u53e4\u672c\u5e97\u306b\u58f2\u3063\u305f\u3068\u3059\u308b\u3068\uff0c\u8cb7\u53d6\u4fa1\u683c\u306f\u305d\u308c\u305e\u308c 102 \u5186\uff0c122 \u5186\uff0c152 \u5186\u3068\u306a\u308b\uff0e<\/p>\r\n\r\n<p>\u3055\u3066\uff0c\u3042\u306a\u305f\u306f\u4e00\u8eab\u4e0a\u306e\u90fd\u5408\u3067\u6025\u907d\u5f15\u8d8a\u3057\u3092\u3059\u308b\u3053\u3068\u306b\u306a\u3063\u305f\uff0e\u3042\u306a\u305f\u306f N \u518a\u306e\u672c\u3092\u6301\u3063\u3066\u3044\u308b\u304c\uff0c\u65b0\u3057\u3044\u4f4f\u5c45\u306b\u3059\u3079\u3066\u306e\u672c\u3092\u6301\u3063\u3066\u3044\u304f\u3053\u3068\u306f\u56f0\u96e3\u306a\u305f\u3081\uff0cN \u518a\u306e\u672c\u306e\u3046\u3061 K \u518a\u3092 JOI \u53e4\u672c\u5e97\u306b\u58f2\u308b\u3053\u3068\u306b\u3057\u305f\uff0e<\/p>\r\n\r\n<p>N \u518a\u306e\u672c\u305d\u308c\u305e\u308c\u306e\u57fa\u6e96\u4fa1\u683c\u3068\u30b8\u30e3\u30f3\u30eb\u306e\u756a\u53f7\u304c\u4e0e\u3048\u3089\u308c\u308b\u3068\u304d\uff0c\u5408\u8a08\u8cb7\u53d6\u4fa1\u683c\u306e\u6700\u5927\u5024\u3092\u6c42\u3081\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e<\/p>\r\n","input":"<p>\u6a19\u6e96\u5165\u529b\u304b\u3089\u4ee5\u4e0b\u306e\u5165\u529b\u3092\u8aad\u307f\u8fbc\u3081\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u884c\u76ee\u306b\u306f\u6574\u6570 N, K \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u304a\u308a\uff0c\u3042\u306a\u305f\u306e\u6301\u3063\u3066\u3044\u308b\u672c\u306e\u518a\u6570\u304c N \u3067\uff0c\u305d\u306e\u3046\u3061 K \u518a\u3092 JOI \u53e4\u672c\u5e97\u306b\u58f2\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n\t<li>\u7d9a\u304f N \u884c\u306b\u306f\u3042\u306a\u305f\u306e\u6301\u3063\u3066\u3044\u308b\u672c\u306e\u60c5\u5831\u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0ei + 1 \u884c\u76ee (1 &le; i &le; N) \u306b\u306f\uff0c\u6574\u6570 C<sub>i<\/sub>, G<sub>i<\/sub>\u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u304a\u308a\uff0ci \u756a\u76ee\u306e\u672c\u306e\u57fa\u6e96\u4fa1\u683c\u304c C<sub>i<\/sub> \u3067\uff0c\u30b8\u30e3\u30f3\u30eb\u306e\u756a\u53f7\u304c G<sub>i<\/sub> \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\u6a19\u6e96\u51fa\u529b\u306b\uff0c\u5408\u8a08\u8cb7\u53d6\u4fa1\u683c\u306e\u6700\u5927\u5024\u3092\u8868\u3059\u6574\u6570\u3092 1 \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"<p>\u3053\u306e\u5165\u529b\u4f8b\u3067\u306f\uff0c2 \u756a\u76ee\uff0c4 \u756a\u76ee\uff0c6 \u756a\u76ee\uff0c7 \u756a\u76ee\u306e 4 \u518a\u306e\u672c\u3092\u58f2\u3063\u305f\u3068\u304d\uff0c\u30b8\u30e3\u30f3\u30eb 2 \u306e\u672c\u306e\u8cb7\u53d6\u4fa1\u683c \u304c 1 \u518a\u3042\u305f\u308a 2 \u5186\u9ad8\u304f\u306a\u308b\u306e\u3067\uff0c\u3053\u308c\u3089\u306e\u672c\u306e\u8cb7\u53d6\u4fa1\u683c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\uff0e<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:40%;\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>\u756a\u53f7<\/th>\r\n\t\t\t<th>\u57fa\u6e96\u4fa1\u683c<\/th>\r\n\t\t\t<th>\u30b8\u30e3\u30f3\u30eb<\/th>\r\n\t\t\t<th>\u8cb7\u53d6\u4fa1\u683c<\/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>2<\/td>\r\n\t\t\t<td>13<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>15<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>14<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>16<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>6<\/td>\r\n\t\t\t<td>16<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>16<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>7<\/td>\r\n\t\t\t<td>11<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>13<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\u3088\u3063\u3066\u5408\u8a08\u8cb7\u53d6\u4fa1\u683c\u306f 15 + 16 + 16 + 13 = 60 \u5186\u3067\u3042\u308b\uff0e\u3053\u306e\u3068\u304d\u5408\u8a08\u8cb7\u53d6\u4fa1\u683c\u306f\u6700\u5927\u3068\u306a\u308b\uff0e<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Japanese","limit":"<ul>\r\n\t<li>2 &le; N &le; 2000 \u3042\u306a\u305f\u304c\u6301\u3063\u3066\u3044\u308b\u672c\u306e\u518a\u6570<\/li>\r\n\t<li>1 &le; K &lt; N JOI \u53e4\u672c\u5e97\u306b\u58f2\u308b\u672c\u306e\u518a\u6570<\/li>\r\n\t<li>1 &le; C<sub>i<\/sub> &le; 100000 = 10<sup>5&nbsp;<\/sup>i \u756a\u76ee\u306e\u672c\u306e\u57fa\u6e96\u4fa1\u683c<\/li>\r\n\t<li>1 &le; G<sub>i<\/sub> &le; 10 i \u756a\u76ee\u306e\u672c\u306e\u30b8\u30e3\u30f3\u30eb\u306e\u756a\u53f7<\/li>\r\n<\/ul>\r\n"}]

출처

Olympiad > Japanese Olympiad in Informatics > JOI 2010/2011 2번