시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

햄최$125$인 지훈이는 먹은 햄버거를 소화하기 위해 $60$일을 굶었다. 슬슬 배가 고픈 지훈이는 부엌에서 직접 음식을 요리해 먹기로 했다.

부엌에는 인덕션이 있고, 인덕션에 요리할 수 있는 공간이 총 세 개 있다. 그리고 공간마다 따로 있는 온도 조절 버튼 $(-,+)$으로 온도를 조절할 수 있다. 온도는 다음 규칙을 따른다.

  • 온도는 정수이며, $0$과 $9$ 사이의 값이다.
  • 처음에 모든 공간의 온도는 $0$이다.
  • $-$ / $+$를 누르면 온도가 정확히 $1$만큼 감소 / 증가한다.
  • 온도가 $0$인 상태에서 $-$를 누르면 $9$가 되고, $9$인 상태에서 $+$를 누르면 $0$이 된다.

지훈이는 인덕션으로 $N$개의 음식을 순서대로 요리할 것이고, 각 음식을 요리하려면 정확한 온도가 필요하다. 즉, 세 개의 요리 공간 중 적어도 하나는 필요한 온도로 설정되어 있어야 음식을 요리할 수 있다. 음식을 요리하는 데 걸리는 시간은 무시한다.

배가 고파 힘이 없어진 지훈이는 모든 요리를 순서대로 완성하기 위해 온도 조절 버튼을 누르는 횟수가 최대한 적었으면 한다. 각 음식을 요리하기 위해 필요한 온도가 주어질 때, 모든 요리를 순서대로 완성하기 위해 온도 조절 버튼을 눌러야 하는 최소 횟수를 알려주자!

입력

첫 번째 줄에 음식의 개수 $N$이 주어진다. $(1\leq N\leq 5\ 000)$

두 번째 줄에 각 음식을 요리하기 위해 필요한 온도를 나타내는 $N$개의 정수 $t_1,t_2,...,t_N$이 공백으로 구분되어 주어진다. $(0\leq t_i\leq 9)$

출력

모든 요리를 순서대로 완성하기 위해 온도 조절 버튼을 눌러야 하는 최소 횟수를 출력한다.

예제 입력 1

1
5

예제 출력 1

5

예제 입력 2

2
3 9

예제 출력 2

4

예제 입력 3

5
9 3 8 1 0

예제 출력 3

7
[{"problem_id":"27925","problem_lang":"0","title":"\uc778\ub355\uc158","description":"<p>\ud584\ucd5c$125$\uc778 \uc9c0\ud6c8\uc774\ub294 \uba39\uc740 \ud584\ubc84\uac70\ub97c \uc18c\ud654\ud558\uae30 \uc704\ud574 $60$\uc77c\uc744 \uad76\uc5c8\ub2e4. \uc2ac\uc2ac \ubc30\uac00 \uace0\ud508 \uc9c0\ud6c8\uc774\ub294 \ubd80\uc5cc\uc5d0\uc11c \uc9c1\uc811 \uc74c\uc2dd\uc744 \uc694\ub9ac\ud574 \uba39\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/3ea11d52-6c6b-47db-9df6-e0d703f03525\/-\/preview\/\" \/><\/p>\r\n\r\n<p>\ubd80\uc5cc\uc5d0\ub294 \uc778\ub355\uc158\uc774 \uc788\uace0, \uc778\ub355\uc158\uc5d0 \uc694\ub9ac\ud560 \uc218 \uc788\ub294 \uacf5\uac04\uc774 \ucd1d \uc138 \uac1c \uc788\ub2e4. \uadf8\ub9ac\uace0 \uacf5\uac04\ub9c8\ub2e4 \ub530\ub85c \uc788\ub294 \uc628\ub3c4 \uc870\uc808 \ubc84\ud2bc $(-,+)$\uc73c\ub85c \uc628\ub3c4\ub97c \uc870\uc808\ud560 \uc218 \uc788\ub2e4. \uc628\ub3c4\ub294 \ub2e4\uc74c \uaddc\uce59\uc744 \ub530\ub978\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc628\ub3c4\ub294 \uc815\uc218\uc774\uba70, $0$\uacfc $9$ \uc0ac\uc774\uc758 \uac12\uc774\ub2e4.<\/li>\r\n\t<li>\ucc98\uc74c\uc5d0 \ubaa8\ub4e0 \uacf5\uac04\uc758 \uc628\ub3c4\ub294 $0$\uc774\ub2e4.<\/li>\r\n\t<li>$-$ \/ $+$\ub97c \ub204\ub974\uba74 \uc628\ub3c4\uac00 \uc815\ud655\ud788 $1$\ub9cc\ud07c \uac10\uc18c \/ \uc99d\uac00\ud55c\ub2e4.<\/li>\r\n\t<li>\uc628\ub3c4\uac00 $0$\uc778 \uc0c1\ud0dc\uc5d0\uc11c $-$\ub97c \ub204\ub974\uba74 $9$\uac00 \ub418\uace0, $9$\uc778 \uc0c1\ud0dc\uc5d0\uc11c $+$\ub97c \ub204\ub974\uba74 $0$\uc774 \ub41c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc9c0\ud6c8\uc774\ub294 \uc778\ub355\uc158\uc73c\ub85c $N$\uac1c\uc758 \uc74c\uc2dd\uc744 \uc21c\uc11c\ub300\ub85c \uc694\ub9ac\ud560 \uac83\uc774\uace0, \uac01 \uc74c\uc2dd\uc744 \uc694\ub9ac\ud558\ub824\uba74 \uc815\ud655\ud55c \uc628\ub3c4\uac00 \ud544\uc694\ud558\ub2e4. \uc989, \uc138 \uac1c\uc758 \uc694\ub9ac \uacf5\uac04 \uc911 \uc801\uc5b4\ub3c4 \ud558\ub098\ub294 \ud544\uc694\ud55c \uc628\ub3c4\ub85c \uc124\uc815\ub418\uc5b4 \uc788\uc5b4\uc57c \uc74c\uc2dd\uc744 \uc694\ub9ac\ud560 \uc218 \uc788\ub2e4. \uc74c\uc2dd\uc744 \uc694\ub9ac\ud558\ub294 \ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 \ubb34\uc2dc\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ubc30\uac00 \uace0\ud30c \ud798\uc774 \uc5c6\uc5b4\uc9c4 \uc9c0\ud6c8\uc774\ub294 \ubaa8\ub4e0 \uc694\ub9ac\ub97c \uc21c\uc11c\ub300\ub85c \uc644\uc131\ud558\uae30 \uc704\ud574 \uc628\ub3c4 \uc870\uc808 \ubc84\ud2bc\uc744 \ub204\ub974\ub294 \ud69f\uc218\uac00 \ucd5c\ub300\ud55c \uc801\uc5c8\uc73c\uba74 \ud55c\ub2e4. \uac01 \uc74c\uc2dd\uc744 \uc694\ub9ac\ud558\uae30 \uc704\ud574 \ud544\uc694\ud55c \uc628\ub3c4\uac00 \uc8fc\uc5b4\uc9c8 \ub54c, \ubaa8\ub4e0 \uc694\ub9ac\ub97c \uc21c\uc11c\ub300\ub85c \uc644\uc131\ud558\uae30 \uc704\ud574 \uc628\ub3c4 \uc870\uc808 \ubc84\ud2bc\uc744 \ub20c\ub7ec\uc57c \ud558\ub294 \ucd5c\uc18c \ud69f\uc218\ub97c \uc54c\ub824\uc8fc\uc790!<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uc74c\uc2dd\uc758 \uac1c\uc218 $N$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. $(1\\leq N\\leq 5\\ 000)$<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0 \uac01 \uc74c\uc2dd\uc744 \uc694\ub9ac\ud558\uae30 \uc704\ud574 \ud544\uc694\ud55c \uc628\ub3c4\ub97c \ub098\ud0c0\ub0b4\ub294 $N$\uac1c\uc758 \uc815\uc218 $t_1,t_2,...,t_N$\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $(0\\leq t_i\\leq 9)$<\/p>\r\n","output":"<p>\ubaa8\ub4e0 \uc694\ub9ac\ub97c \uc21c\uc11c\ub300\ub85c \uc644\uc131\ud558\uae30 \uc704\ud574 \uc628\ub3c4 \uc870\uc808 \ubc84\ud2bc\uc744 \ub20c\ub7ec\uc57c \ud558\ub294 \ucd5c\uc18c \ud69f\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"27925","problem_lang":"1","title":"Induction","description":"<p>Jeehoon, who is $125$-many-burgers, starved himself for $60$ days to digest a lot of hamburgers he ate last time. Now he is getting hungry, so he tries to cook and eat some dishes himself in the kitchen.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/fd95c527-6f25-494f-be15-32aa873e3fc9\/-\/preview\/\" \/><\/p>\r\n\r\n<p>There is an induction in the kitchen, and the induction has three stoves that he can cook on. He can adjust the temperature of a stove with temperature control buttons $(-,+)$ for each stove. The&nbsp;temperature&nbsp;follows the following rules:<\/p>\r\n\r\n<ul>\r\n\t<li>The temperature is an integer between $0$ and $9$.<\/li>\r\n\t<li>Initially, the temperature of every stove&nbsp;is $0$.<\/li>\r\n\t<li>When he touches the $-$ \/ $+$ button, the temperature decreases \/ increases by exactly $1$.<\/li>\r\n\t<li>If he touches the $-$ button when the temperature is $0$, it will be set to $9$. Also, if he touches the $+$ button when the temperature is $9$, it will be set to $0$.<\/li>\r\n<\/ul>\r\n\r\n<p>He will cook $N$ dishes&nbsp;in the given order on the induction, and each dish needs to be cooked at the correct temperature. That is, a dish can be cooked only when at least one of the three stoves is set to the required temperature. You may ignore the time it takes to cook dishes.<\/p>\r\n\r\n<p>He has lost the energy to move from hunger, so he wants to touch the temperature control buttons as little as possible to cook all dishes in the given order. Given the required temperature to cook each dish, let&rsquo;s tell him the minimum number of times he needs to touch the temperature control buttons to cook all dishes&nbsp;in the given order!<\/p>\r\n","input":"<p>The first line of input data contains a single integer $N$ &mdash; the number of dishes. $(1\\leq N\\leq 5\\ 000)$<\/p>\r\n\r\n<p>The following line contains $N$ integers $t_1,t_2,...,t_N$ &mdash; the temperature required to cook $i$-th dish. $(0\\leq t_i\\leq 9)$<\/p>\r\n","output":"<p>In a single line, print&nbsp;an&nbsp;integer&nbsp;&mdash; the minimum number of times he needs to touch the temperature control buttons to cook all the dishes in the given order.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English"}]