시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 70 31 26 43.333%

문제

상근이의 여동생 선영이는 정인이가 상근이의 마이크로프로세서를 훔치는 것을 보았다. 선영이는 상근이에게 이 사실을 말해야 하는지를 고민했다. 하지만, 선영이는 상근이보다 정인이를 더 좋아하기 때문에 말하지 않았다.

선영이는 정인이에게 데이트 신청을 하였고, 영화를 같이 보러간다면 이 사실을 그 누구에게도 말하지 않기로 약속했다.

알고보니 정인이는 여자에게 별 관심이 없었다. 그 이유는 정인이가 수학문제를 푸는데 방해 된다고 생각하기 때문이다. 따라서, 그는 선영이에게 게임을 신청했고, 이기면 영화를 보러 가기로 했다. 선영이는 게임에 자신이 있었기 때문에, 정인이의 제안에 동의했다.

정인이는 N개의 양수를 원 위에 차례대로 쓰고 선영이에게 게임의 규칙을 설명했따.

1. 첫 번째 플레이어가 아무 숫자나 하나 고른다.

2. 두 번째 플레이어가 첫 번째 플레이어가 고른 수에 인접한 두 수 중 하나를 고른다.

3. 그 다음 플레이어는 고를 수 있는 수가 없을 때까지 지금까지 고른 수에 인접한 수 중에서 아무 숫자나 고른다. 홀수를 가장 많이 고른 사람이 승리한다.

정인이는 최선을 다해서 게임을 한다. 그는 항상 이기거나 비길 수 있는 전략을 선택한다. 정인이는 선영이가 게임을 얼마나 잘 하는지 모른다. 또, 정인이는 신사이기 때문에, 선영이에게 첫 번째 수를 양보했다.

선영이가 게임을 승리하기 위해서 고를 수 있는 첫 번째 수의 총 개수를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 원 위에 있는 수의 개수 N이 주어진다. (1 ≤ N ≤ 100)

둘째 줄에는 N개의 정수가 공백으로 구분되어 주어진다. 모든 숫자는 1 이상 1000 이하이다. 두 수가 같은 경우는 없다.

출력

선영이가 게임을 승리하기 위해서 고를 수 있는 첫 번째 수의 개수를 첫째 줄에 출력한다.

예제 입력 1

3
3 1 5

예제 출력 1

3
[{"problem_id":"3032","problem_lang":"0","title":"\uc2b9\ub9ac","description":"<p>\uc0c1\uadfc\uc774\uc758 \uc5ec\ub3d9\uc0dd \uc120\uc601\uc774\ub294 \uc815\uc778\uc774\uac00 \uc0c1\uadfc\uc774\uc758 \ub9c8\uc774\ud06c\ub85c\ud504\ub85c\uc138\uc11c\ub97c \ud6d4\uce58\ub294 \uac83\uc744 \ubcf4\uc558\ub2e4. \uc120\uc601\uc774\ub294 \uc0c1\uadfc\uc774\uc5d0\uac8c \uc774 \uc0ac\uc2e4\uc744 \ub9d0\ud574\uc57c \ud558\ub294\uc9c0\ub97c \uace0\ubbfc\ud588\ub2e4. \ud558\uc9c0\ub9cc, \uc120\uc601\uc774\ub294 \uc0c1\uadfc\uc774\ubcf4\ub2e4 \uc815\uc778\uc774\ub97c \ub354 \uc88b\uc544\ud558\uae30 \ub54c\ubb38\uc5d0 \ub9d0\ud558\uc9c0 \uc54a\uc558\ub2e4.<\/p>\r\n\r\n<p>\uc120\uc601\uc774\ub294 \uc815\uc778\uc774\uc5d0\uac8c \ub370\uc774\ud2b8 \uc2e0\uccad\uc744 \ud558\uc600\uace0, \uc601\ud654\ub97c \uac19\uc774 \ubcf4\ub7ec\uac04\ub2e4\uba74 \uc774 \uc0ac\uc2e4\uc744 \uadf8 \ub204\uad6c\uc5d0\uac8c\ub3c4 \ub9d0\ud558\uc9c0 \uc54a\uae30\ub85c \uc57d\uc18d\ud588\ub2e4.<\/p>\r\n\r\n<p>\uc54c\uace0\ubcf4\ub2c8 \uc815\uc778\uc774\ub294 \uc5ec\uc790\uc5d0\uac8c \ubcc4 \uad00\uc2ec\uc774 \uc5c6\uc5c8\ub2e4. \uadf8 \uc774\uc720\ub294 \uc815\uc778\uc774\uac00 \uc218\ud559\ubb38\uc81c\ub97c \ud478\ub294\ub370 \ubc29\ud574 \ub41c\ub2e4\uace0 \uc0dd\uac01\ud558\uae30 \ub54c\ubb38\uc774\ub2e4. \ub530\ub77c\uc11c, \uadf8\ub294 \uc120\uc601\uc774\uc5d0\uac8c \uac8c\uc784\uc744 \uc2e0\uccad\ud588\uace0, \uc774\uae30\uba74 \uc601\ud654\ub97c \ubcf4\ub7ec \uac00\uae30\ub85c \ud588\ub2e4. \uc120\uc601\uc774\ub294 \uac8c\uc784\uc5d0 \uc790\uc2e0\uc774 \uc788\uc5c8\uae30 \ub54c\ubb38\uc5d0, \uc815\uc778\uc774\uc758 \uc81c\uc548\uc5d0 \ub3d9\uc758\ud588\ub2e4.<\/p>\r\n\r\n<p>\uc815\uc778\uc774\ub294 N\uac1c\uc758 \uc591\uc218\ub97c \uc6d0 \uc704\uc5d0 \ucc28\ub840\ub300\ub85c \uc4f0\uace0 \uc120\uc601\uc774\uc5d0\uac8c \uac8c\uc784\uc758 \uaddc\uce59\uc744 \uc124\uba85\ud588\ub530.<\/p>\r\n\r\n<p>1. \uccab \ubc88\uc9f8 \ud50c\ub808\uc774\uc5b4\uac00 \uc544\ubb34 \uc22b\uc790\ub098 \ud558\ub098 \uace0\ub978\ub2e4.<\/p>\r\n\r\n<p>2. \ub450 \ubc88\uc9f8 \ud50c\ub808\uc774\uc5b4\uac00 \uccab \ubc88\uc9f8 \ud50c\ub808\uc774\uc5b4\uac00 \uace0\ub978 \uc218\uc5d0 \uc778\uc811\ud55c \ub450 \uc218 \uc911 \ud558\ub098\ub97c \uace0\ub978\ub2e4.<\/p>\r\n\r\n<p>3. \uadf8 \ub2e4\uc74c \ud50c\ub808\uc774\uc5b4\ub294 \uace0\ub97c \uc218 \uc788\ub294 \uc218\uac00 \uc5c6\uc744 \ub54c\uae4c\uc9c0 \uc9c0\uae08\uae4c\uc9c0 \uace0\ub978 \uc218\uc5d0 \uc778\uc811\ud55c \uc218 \uc911\uc5d0\uc11c \uc544\ubb34 \uc22b\uc790\ub098 \uace0\ub978\ub2e4. \ud640\uc218\ub97c \uac00\uc7a5 \ub9ce\uc774 \uace0\ub978 \uc0ac\ub78c\uc774 \uc2b9\ub9ac\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc815\uc778\uc774\ub294 \ucd5c\uc120\uc744 \ub2e4\ud574\uc11c \uac8c\uc784\uc744 \ud55c\ub2e4. \uadf8\ub294 \ud56d\uc0c1 \uc774\uae30\uac70\ub098 \ube44\uae38 \uc218 \uc788\ub294 \uc804\ub7b5\uc744 \uc120\ud0dd\ud55c\ub2e4. \uc815\uc778\uc774\ub294 \uc120\uc601\uc774\uac00 \uac8c\uc784\uc744 \uc5bc\ub9c8\ub098 \uc798 \ud558\ub294\uc9c0 \ubaa8\ub978\ub2e4. \ub610, \uc815\uc778\uc774\ub294 \uc2e0\uc0ac\uc774\uae30 \ub54c\ubb38\uc5d0, \uc120\uc601\uc774\uc5d0\uac8c \uccab \ubc88\uc9f8 \uc218\ub97c \uc591\ubcf4\ud588\ub2e4.<\/p>\r\n\r\n<p>\uc120\uc601\uc774\uac00 \uac8c\uc784\uc744 \uc2b9\ub9ac\ud558\uae30 \uc704\ud574\uc11c \uace0\ub97c \uc218 \uc788\ub294 \uccab \ubc88\uc9f8 \uc218\uc758 \ucd1d \uac1c\uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc6d0 \uc704\uc5d0 \uc788\ub294 \uc218\uc758 \uac1c\uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N &le; 100)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 N\uac1c\uc758 \uc815\uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \ubaa8\ub4e0 \uc22b\uc790\ub294 1 \uc774\uc0c1 1000 \uc774\ud558\uc774\ub2e4. \ub450 \uc218\uac00 \uac19\uc740 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>\uc120\uc601\uc774\uac00 \uac8c\uc784\uc744 \uc2b9\ub9ac\ud558\uae30 \uc704\ud574\uc11c \uace0\ub97c \uc218 \uc788\ub294 \uccab \ubc88\uc9f8 \uc218\uc758 \uac1c\uc218\ub97c \uccab\uc9f8 \uc904\uc5d0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3032","problem_lang":"1","title":"IVANA","description":"<p>Even though she saw Zvonko steal Mirko&#39;s microprocessor in the second task, Mirko&#39;s sister Ivana did not tell Mirko because she likes Zvonko. She suggested to him that they go see a movie together so that she would &quot;forget&quot; about the incident.&nbsp;<\/p>\r\n\r\n<p>Zvonko does not care much for girls because they take away precious time he usually spends practicing his math-fu. He suggested that the two of them play a game and, if Ivana wins, they will go see a movie together. Ivana agreed, being good at jump rope and she sometimes even kicks a football around with her two brothers.&nbsp;<\/p>\r\n\r\n<p>Zvonko laid N positive integers in a circle on the floor and explained the rules:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>The first player takes any number.&nbsp;<\/li>\r\n\t<li>The second player takes either of the two numbers adjacent to the one the first player took.&nbsp;<\/li>\r\n\t<li>The next player takes a number adjacent to any of the numbers taken so far, and so on until they run out of numbers. The player to take more odd numbers (not divisible by 2) wins.&nbsp;<\/li>\r\n<\/ul>\r\n\r\n<p>Zvonko plays optimally; he always looks for a strategy that leads to certain victory or a draw. Zvonko does not know how well Ivana plays. Being a true cavalier, he let Ivana have the first move.&nbsp;<\/p>\r\n\r\n<p>But Ivana only cares about sitting next to Zvonko in front of the big screen so she seeks help playing.&nbsp;<\/p>\r\n\r\n<p>Write a program that finds how many different first moves Ivana can make, so that she has a chance of winning afterwards.<\/p>\r\n","input":"<p>The first line of input contains an integer N (1 &le; N &le; 100), how many numbers there are in the circle.<\/p>\r\n\r\n<p>The second line contains N integers separated by single spaces. All numbers will be between 1 and 1000 (inclusive). No two numbers will be the same.&nbsp;<\/p>\r\n","output":"<p>Output the desired number on a single line.&nbsp;<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]