백준 온라인 저지, 그리디 / 5545번: 최고의피자 (파이썬 / 백준 실버문제)

2022. 5. 20. 00:38알고리즘/그리디

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문제 주소: https://www.acmicpc.net/problem/5545

문제

상근이는 근처 피자 가게에서 매일 저녁으로 피자를 배달해 먹는다. 주머니 사정이 얇아진 상근이는 이번 달부터는 "최고의 피자"를 구매하려고 한다. 최고의 피자란, 피자 가게에서 주문할 수 있는 피자 중 1원당 열량이 가장 높은 피자를 말한다. 최고의 피자는 여러 종류가 있을 수도 있다.

이 피자 가게는 토핑 N개에서 여러 종류를 선택해서 주문할 수 있다. 같은 종류의 토핑을 2개 이상 선택할 수는 없다. 또, 토핑을 전혀 선택하지 않을 수도 있다.

선택한 토핑은 도우 위에 올라간다. 도우의 가격은 A원이고, 토핑의 가격은 모두 B원이다. 피자의 가격은 도우와 토핑의 가격의 합계가 된다. 즉, 토핑을 k종류 (0 ≤ k ≤ N) 선택했다면, 피자의 가격은 A + B*k원이 된다. 피자의 열량은 도우와 토핑의 열량의 합이다.

도우의 가격, 토핑의 가격, 그리고 도우와 각 토핑의 열량 값이 주어졌을 때, 최고의 피자의 1원 당 열량을 구하는 프로그램을 작성하시오.

입력

첫째 줄에 토핑의 종류의 수 N(1 ≤ N ≤ 100)이 주어진다. 둘째 줄에는 도우의 가격 A와 토핑의 가격 B가 주어진다. (1 ≤ A, B ≤ 1000) 셋째 줄에는 도우의 열량 C가 주어진다. (1 ≤ C ≤ 10000) 다음 줄부터 N개 줄에는 각 토핑의 열량 Di가 한 줄에 하나씩 주어진다. (1 ≤ Di ≤ 10000)

출력

첫째 줄에 최고의 피자의 1원 당 열량을 출력한다. 소수점 이하는 버리고 정수 값으로 출력한다.

예제 입력 1

3
12 2
200
50
300
100

예제 출력 1

37

예제 입력 2

4
20 3
900
300
100
400
1300

예제 출력 2

100

힌트

두 번째와 세 번째 토핑을 올리면 200 + 300 + 100 = 600 칼로리가 된다. 가격은 12 + 2 * 2 = 16원이 된다. 이 피자의 1원 당 칼로리는 600 / 16 = 37.5이다. 이 피자는 최고의 피자이므로, 37.5의 소수점 이하를 버린 37을 출력하면 된다.

[{"problem_id":"5545","problem_lang":"0","title":"\ucd5c\uace0\uc758 \ud53c\uc790","description":"<p>\uc0c1\uadfc\uc774\ub294 \uadfc\ucc98 \ud53c\uc790 \uac00\uac8c\uc5d0\uc11c \ub9e4\uc77c \uc800\ub141\uc73c\ub85c \ud53c\uc790\ub97c \ubc30\ub2ec\ud574 \uba39\ub294\ub2e4. \uc8fc\uba38\ub2c8 \uc0ac\uc815\uc774 \uc587\uc544\uc9c4 \uc0c1\uadfc\uc774\ub294 \uc774\ubc88 \ub2ec\ubd80\ud130\ub294 &quot;\ucd5c\uace0\uc758 \ud53c\uc790&quot;\ub97c \uad6c\ub9e4\ud558\ub824\uace0 \ud55c\ub2e4. \ucd5c\uace0\uc758 \ud53c\uc790\ub780, \ud53c\uc790 \uac00\uac8c\uc5d0\uc11c \uc8fc\ubb38\ud560 \uc218 \uc788\ub294 \ud53c\uc790 \uc911 1\uc6d0\ub2f9 \uc5f4\ub7c9\uc774 \uac00\uc7a5 \ub192\uc740 \ud53c\uc790\ub97c \ub9d0\ud55c\ub2e4. \ucd5c\uace0\uc758 \ud53c\uc790\ub294 \uc5ec\ub7ec \uc885\ub958\uac00 \uc788\uc744 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc774 \ud53c\uc790 \uac00\uac8c\ub294 \ud1a0\ud551 N\uac1c\uc5d0\uc11c \uc5ec\ub7ec \uc885\ub958\ub97c \uc120\ud0dd\ud574\uc11c \uc8fc\ubb38\ud560 \uc218 \uc788\ub2e4. \uac19\uc740 \uc885\ub958\uc758 \ud1a0\ud551\uc744 2\uac1c \uc774\uc0c1 \uc120\ud0dd\ud560 \uc218\ub294 \uc5c6\ub2e4. \ub610, \ud1a0\ud551\uc744 \uc804\ud600 \uc120\ud0dd\ud558\uc9c0 \uc54a\uc744 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc120\ud0dd\ud55c \ud1a0\ud551\uc740 \ub3c4\uc6b0 \uc704\uc5d0 \uc62c\ub77c\uac04\ub2e4. \ub3c4\uc6b0\uc758 \uac00\uaca9\uc740 A\uc6d0\uc774\uace0, \ud1a0\ud551\uc758 \uac00\uaca9\uc740 \ubaa8\ub450 B\uc6d0\uc774\ub2e4. \ud53c\uc790\uc758 \uac00\uaca9\uc740 \ub3c4\uc6b0\uc640 \ud1a0\ud551\uc758 \uac00\uaca9\uc758 \ud569\uacc4\uac00 \ub41c\ub2e4. \uc989, \ud1a0\ud551\uc744 k\uc885\ub958 (0 &le; k &le; N) \uc120\ud0dd\ud588\ub2e4\uba74, \ud53c\uc790\uc758 \uac00\uaca9\uc740 A + B*k\uc6d0\uc774 \ub41c\ub2e4. \ud53c\uc790\uc758 \uc5f4\ub7c9\uc740 \ub3c4\uc6b0\uc640 \ud1a0\ud551\uc758 \uc5f4\ub7c9\uc758 \ud569\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\uc6b0\uc758 \uac00\uaca9, \ud1a0\ud551\uc758 \uac00\uaca9, \uadf8\ub9ac\uace0 \ub3c4\uc6b0\uc640 \uac01 \ud1a0\ud551\uc758 \uc5f4\ub7c9 \uac12\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ucd5c\uace0\uc758 \ud53c\uc790\uc758 1\uc6d0 \ub2f9 \uc5f4\ub7c9\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud1a0\ud551\uc758 \uc885\ub958\uc758 \uc218 N(1 &le; N &le; 100)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub458\uc9f8 \uc904\uc5d0\ub294 \ub3c4\uc6b0\uc758 \uac00\uaca9 A\uc640 \ud1a0\ud551\uc758 \uac00\uaca9 B\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; A, B &le; 1000) \uc14b\uc9f8 \uc904\uc5d0\ub294 \ub3c4\uc6b0\uc758 \uc5f4\ub7c9 C\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; C &le; 10000) \ub2e4\uc74c \uc904\ubd80\ud130 N\uac1c \uc904\uc5d0\ub294 \uac01 \ud1a0\ud551\uc758 \uc5f4\ub7c9 D<sub>i<\/sub>\uac00 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; D<sub>i<\/sub> &le; 10000)<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ucd5c\uace0\uc758 \ud53c\uc790\uc758 1\uc6d0 \ub2f9 \uc5f4\ub7c9\uc744 \ucd9c\ub825\ud55c\ub2e4. \uc18c\uc218\uc810 \uc774\ud558\ub294 \ubc84\ub9ac\uace0 \uc815\uc218 \uac12\uc73c\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\ub450 \ubc88\uc9f8\uc640 \uc138 \ubc88\uc9f8 \ud1a0\ud551\uc744 \uc62c\ub9ac\uba74 200 + 300 + 100 = 600 \uce7c\ub85c\ub9ac\uac00 \ub41c\ub2e4. \uac00\uaca9\uc740 12 + 2 * 2 = 16\uc6d0\uc774 \ub41c\ub2e4. \uc774 \ud53c\uc790\uc758 1\uc6d0 \ub2f9 \uce7c\ub85c\ub9ac\ub294 600 \/ 16 = 37.5\uc774\ub2e4. \uc774 \ud53c\uc790\ub294 \ucd5c\uace0\uc758 \ud53c\uc790\uc774\ubbc0\ub85c, 37.5\uc758 \uc18c\uc218\uc810 \uc774\ud558\ub97c \ubc84\ub9b0 37\uc744 \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"5545","problem_lang":"2","title":"\u6700\u9ad8\u306e\u30d4\u30b6 (Best Pizza)","description":"<p>K \u7406\u4e8b\u9577\u306f\uff0cJOI \u5e02\u306e\u4e2d\u5fc3\u90e8\u306b\u3042\u308b JOI \u30d4\u30b6\u5e97\u306e\u5e38\u9023\u5ba2\u3067\u3042\u308b\uff0e\u5f7c\u306f\u3042\u308b\u4e8b\u60c5\u306b\u3088\u308a\uff0c\u4eca\u6708\u304b\u3089\u7bc0\u7d04\u751f\u6d3b\u3092\u59cb\u3081\u308b\u3053\u3068\u306b\u3057\u305f\uff0e\u305d\u3053\u3067\u5f7c\u306f\uff0cJOI \u30d4\u30b6\u5e97\u3067\u6ce8\u6587\u3067\u304d\u308b\u30d4\u30b6\u306e\u3046\u3061\uff0c1 \u30c9\u30eb\u3042\u305f\u308a\u306e\u30ab\u30ed\u30ea\u30fc\u304c\u6700\u5927\u3068\u306a\u308b\u3088\u3046\u306a\u30d4\u30b6\u3092\u6ce8\u6587\u3057\u305f\u3044\u3068\u601d\u3063\u305f\uff0e\u3053\u306e\u3088\u3046\u306a\u30d4\u30b6\u3092\u300c\u6700\u9ad8\u306e\u30d4\u30b6\u300d\u3068\u547c\u3076\u3053\u3068\u306b\u3057\u3088\u3046\uff0e\u300c\u6700\u9ad8\u306e\u30d4\u30b6\u300d\u306f 1 \u7a2e\u985e\u3068\u306f\u9650\u3089\u306a\u3044\uff0e<\/p>\r\n\r\n<p>JOI \u30d4\u30b6\u3067\u306f N \u7a2e\u985e\u306e\u30c8\u30c3\u30d4\u30f3\u30b0\u304b\u3089\u4f55\u7a2e\u985e\u304b\u3092\u81ea\u7531\u306b\u9078\u3073\uff0c\u57fa\u672c\u306e\u751f\u5730\u306e\u4e0a\u306b\u8f09\u305b\u305f\u3082\u306e\u3092\u6ce8\u6587\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u540c\u7a2e\u306e\u30c8\u30c3\u30d4\u30f3\u30b0\u3092 2 \u3064\u4ee5\u4e0a\u8f09\u305b\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\uff0e\u751f\u5730\u306b\u30c8\u30c3\u30d4\u30f3\u30b0\u3092 1 \u7a2e\u985e\u3082\u8f09\u305b\u306a\u3044\u30d4\u30b6\u3082\u6ce8\u6587\u3067\u304d\u308b\uff0e\u751f\u5730\u306e\u5024\u6bb5\u306f A \u30c9\u30eb\u3067\u3042\u308a\uff0c\u30c8\u30c3\u30d4\u30f3\u30b0\u306e\u5024\u6bb5\u306f\u3044\u305a\u308c\u3082 B \u30c9\u30eb\u3067\u3042\u308b\uff0e\u30d4\u30b6\u306e\u5024\u6bb5\u306f\uff0c\u751f\u5730\u306e\u5024\u6bb5\u3068\u8f09\u305b\u305f\u30c8\u30c3\u30d4\u30f3\u30b0\u306e\u5024\u6bb5\u306e\u5408\u8a08\u3067\u3042\u308b\uff0e\u3059\u306a\u308f\u3061\uff0c\u30c8\u30c3\u30d4\u30f3\u30b0\u3092 k \u7a2e\u985e (0 \u2266 k \u2266 N) \u8f09\u305b\u305f\u30d4\u30b6\u306e\u5024\u6bb5\u306f A + k &times; B \u30c9\u30eb\u3067\u3042\u308b\uff0e\u30d4\u30b6\u5168\u4f53\u306e\u30ab\u30ed\u30ea\u30fc\u306f\uff0c\u751f\u5730\u306e\u30ab\u30ed\u30ea\u30fc\u3068\u8f09\u305b\u305f\u30c8\u30c3\u30d4\u30f3\u30b0\u306e\u30ab\u30ed\u30ea\u30fc\u306e\u5408\u8a08\u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p>\u751f\u5730\u306e\u5024\u6bb5\u3068\u30c8\u30c3\u30d4\u30f3\u30b0\u306e\u5024\u6bb5\uff0c\u304a\u3088\u3073\uff0c\u751f\u5730\u3068\u5404\u30c8\u30c3\u30d4\u30f3\u30b0\u306e\u30ab\u30ed\u30ea\u30fc\u306e\u5024\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0c\u300c\u6700\u9ad8\u306e\u30d4\u30b6\u300d\u306e 1 \u30c9\u30eb\u3042\u305f\u308a\u306e\u30ab\u30ed\u30ea\u30fc\u6570\u3092\u6c42\u3081\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e<\/p>\r\n","input":"<p>\u5165\u529b\u306f N + 3 \u884c\u304b\u3089\u306a\u308b\uff0e<\/p>\r\n\r\n<p>1 \u884c\u76ee\u306b\u306f\u30c8\u30c3\u30d4\u30f3\u30b0\u306e\u7a2e\u985e\u6570\u3092\u8868\u3059 1 \u3064\u306e\u6574\u6570 N (1 \u2266 N \u2266 100) \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e2 \u884c\u76ee\u306b\u306f 2 \u3064\u306e\u6574\u6570 A, B (1 \u2266 A \u2266 1000\uff0c1 \u2266 B \u2266 1000) \u304c\u7a7a\u767d\u3092\u533a\u5207\u308a\u3068\u3057\u3066\u66f8\u304b\u308c\u3066\u3044\u308b\uff0eA \u306f\u751f\u5730\u306e\u5024\u6bb5\uff0cB \u306f\u30c8\u30c3\u30d4\u30f3\u30b0\u306e\u5024\u6bb5\u3092\u8868\u3059\uff0e3 \u884c\u76ee\u306b\u306f\uff0c\u751f\u5730\u306e\u30ab\u30ed\u30ea\u30fc\u6570\u3092\u8868\u3059 1 \u3064\u306e\u6574\u6570 C (1 \u2266 C \u2266 10000) \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e<\/p>\r\n\r\n<p>3 + i \u884c\u76ee (1 \u2266 i \u2266 N) \u306b\u306f\uff0ci \u756a\u76ee\u306e\u30c8\u30c3\u30d4\u30f3\u30b0\u306e\u30ab\u30ed\u30ea\u30fc\u6570\u3092\u8868\u3059 1 \u3064\u306e\u6574\u6570 D<sub>i<\/sub> (1 \u2266 D<sub>i<\/sub> \u2266 10000) \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e<\/p>\r\n","output":"<p>\u300c\u6700\u9ad8\u306e\u30d4\u30b6\u300d\u306e 1 \u30c9\u30eb\u3042\u305f\u308a\u306e\u30ab\u30ed\u30ea\u30fc\u6570\u3092 1 \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e\u305f\u3060\u3057\uff0c\u5c0f\u6570\u70b9\u4ee5\u4e0b\u306f\u5207\u308a\u6368\u3066\u3066\u6574\u6570\u5024\u3067\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"<p>\u5165\u51fa\u529b\u4f8b 1 \u3067\u306f\uff0c2 \u756a\u76ee\u3068 3 \u756a\u76ee\u306e\u30c8\u30c3\u30d4\u30f3\u30b0\u3092\u8f09\u305b\u308b\u3068\uff0c200 + 300 + 100 = 600 \u30ab\u30ed\u30ea\u30fc\u3067 12 + 2 &times; 2 = 16 \u30c9\u30eb\u306e\u30d4\u30b6\u306b\u306a\u308b\uff0e<\/p>\r\n\r\n<p>\u3053\u306e\u30d4\u30b6\u306f 1 \u30c9\u30eb\u3042\u305f\u308a 600 \/ 16 = 37.5 \u30ab\u30ed\u30ea\u30fc\u306b\u306a\u308b\uff0e\u3053\u308c\u304c\u300c\u6700\u9ad8\u306e\u30d4\u30b6\u300d\u3068\u306a\u308b\u306e\u3067\uff0c37.5 \u306e\u5c0f\u6570\u70b9\u4ee5\u4e0b\u3092\u5207\u308a\u6368\u3066\u305f 37 \u3092\u51fa\u529b\u3059\u308b\uff0e<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Japanese"}]

접근 방법

- 피자 토핑의 열량을 내림차순 정렬하여 이를 계산한다.

코드

# https://www.acmicpc.net/problem/5545
# 접근 방법
# 피자 토핑의 열량을 내림차순 정렬하여 이를 계산한다.
n = int(input())
a, b = map(int, input().split())
c = int(input())
topping = [int(input()) for _ in range(n)]
topping.sort(reverse=True)
result = c // a
d = c
price = a
for k in range(n):
    price += b
    d += topping[k]
    result = max(result, d // price)
print(result)
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