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문제

오늘은 ACM-ICPC 대회 전 날이다. 상근이는 긴장을 풀기 위해서 팀원들과 근처 술집으로 갔다.

상근이와 친구들은 다음 날 있을 대회를 연습하기 위해서 작은 게임을 하기로 했다.

먼저, 선영이는 상근이에게 총 N개의 정수로 이루어진 수열 X1, X2, ... XN을 적어준다. 게임은 총 K번 라운드로 이루어져있고, 매 라운드마다 선영이는 상근이에게 명령을 하나씩 내린다. 명령은 아래와 같이 두 가지가 있다.

  • 변경: 이 명령은 친구가 수열의 한 값을 바꾸고 싶을 때 사용한다.
  • 곱셈: 선영이는 상근이에게 i와 j를 말한다. 상근이는 Xi × Xi+1 × ... × Xj-1 × Xj 의 값이 양수인지, 음수인지, 0인지를 대답한다.

곱셈 명령에서 상근이가 대답을 잘못했을 때의 벌칙은 소주 한 잔이다. 상근이는 갑자기 대회가 걱정되기 시작했다. 또, 상근이는 발머의 피크 이론을 증명하고 싶지 않다.

다행히 선영이는 상근이에게 노트북 사용을 허락했다. 상근이는 자신의 수학 실력보다 코딩 실력을 더 믿는다.

상근이를 돕는 프로그램을 작성하시오.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다.

각 테스트 케이스의 첫째 줄에는 수열의 크기 N과 게임의 라운드 수 K가 주어진다. (1 ≤ N, K ≤ 105)

둘째 줄에는 총 N개의 숫자 Xi가 주어진다. (-100 ≤ Xi ≤ 100)

다음 K개 줄에는 선영이가 내린 명령이 주어진다. 명령은 C 또는 P로 시작한다.

C로 시작하는 명령은 변경 명령이고, 그 다음에 i와 V가 주어진다. Xi를 V로 변경하는 명령이다. (1 ≤ i ≤ N, -100 ≤ V ≤ 100)

P로 시작하는 명령은 곱셈 명령이고, 그 다음에 i와 j가 주어진다. (1 ≤ i ≤ j ≤ N)

각 테스트 케이스에 곱셈 명령은 항상 한 번 이상있다.

출력

각 테스트 케이스마다 곱셈 명령의 결과를 한 줄에 모두 출력하면 된다. 출력하는 i번째 문자는 i번째 곱셈 명령의 결과이다. 양수인 경우에는 +, 음수인 경우에는 -, 영인 경우에는 0을 출력한다.

예제 입력 1

4 6
-2 6 0 -1
C 1 10
P 1 4
C 3 7
P 2 2
C 4 -5
P 1 4
5 9
1 5 -2 4 3
P 1 2
P 1 5
C 4 -5
P 1 5
P 4 5
C 3 0
P 1 5
C 4 -5
C 4 -5

예제 출력 1

0+-
+-+-0

힌트

발머의 피크 이론(Ballmer's Peak Theory)은 프로그래머의 혈중 알콜 농도가 0.129% 와 0.138% 사이일 때 초인적인 코딩 실력을 발휘한다는 이론이다.

[{"problem_id":"5676","problem_lang":"0","title":"\uc74c\uc8fc \ucf54\ub529","description":"<p>\uc624\ub298\uc740 ACM-ICPC \ub300\ud68c \uc804 \ub0a0\uc774\ub2e4. \uc0c1\uadfc\uc774\ub294 \uae34\uc7a5\uc744 \ud480\uae30 \uc704\ud574\uc11c \ud300\uc6d0\ub4e4\uacfc \uadfc\ucc98 \uc220\uc9d1\uc73c\ub85c \uac14\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\uc640 \uce5c\uad6c\ub4e4\uc740 \ub2e4\uc74c \ub0a0 \uc788\uc744 \ub300\ud68c\ub97c \uc5f0\uc2b5\ud558\uae30 \uc704\ud574\uc11c \uc791\uc740 \uac8c\uc784\uc744 \ud558\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\uba3c\uc800, \uc120\uc601\uc774\ub294 \uc0c1\uadfc\uc774\uc5d0\uac8c \ucd1d N\uac1c\uc758 \uc815\uc218\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uc218\uc5f4 X<sub>1<\/sub>, X<sub>2<\/sub>, ... X<sub>N<\/sub>\uc744 \uc801\uc5b4\uc900\ub2e4. \uac8c\uc784\uc740 \ucd1d K\ubc88 \ub77c\uc6b4\ub4dc\ub85c \uc774\ub8e8\uc5b4\uc838\uc788\uace0, \ub9e4 \ub77c\uc6b4\ub4dc\ub9c8\ub2e4 \uc120\uc601\uc774\ub294 \uc0c1\uadfc\uc774\uc5d0\uac8c \uba85\ub839\uc744 \ud558\ub098\uc529 \ub0b4\ub9b0\ub2e4. \uba85\ub839\uc740 \uc544\ub798\uc640 \uac19\uc774 \ub450 \uac00\uc9c0\uac00 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ubcc0\uacbd: \uc774 \uba85\ub839\uc740 \uce5c\uad6c\uac00 \uc218\uc5f4\uc758 \ud55c \uac12\uc744 \ubc14\uafb8\uace0 \uc2f6\uc744 \ub54c \uc0ac\uc6a9\ud55c\ub2e4.<\/li>\r\n\t<li>\uacf1\uc148: \uc120\uc601\uc774\ub294 \uc0c1\uadfc\uc774\uc5d0\uac8c i\uc640 j\ub97c \ub9d0\ud55c\ub2e4. \uc0c1\uadfc\uc774\ub294 X<sub>i<\/sub> &times; X<sub>i+1<\/sub> &times; ... &times; X<sub>j-1<\/sub> &times; X<sub>j<\/sub> \uc758 \uac12\uc774 \uc591\uc218\uc778\uc9c0, \uc74c\uc218\uc778\uc9c0, 0\uc778\uc9c0\ub97c \ub300\ub2f5\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uacf1\uc148 \uba85\ub839\uc5d0\uc11c \uc0c1\uadfc\uc774\uac00 \ub300\ub2f5\uc744 \uc798\ubabb\ud588\uc744 \ub54c\uc758 \ubc8c\uce59\uc740 \uc18c\uc8fc \ud55c \uc794\uc774\ub2e4. \uc0c1\uadfc\uc774\ub294 \uac11\uc790\uae30 \ub300\ud68c\uac00 \uac71\uc815\ub418\uae30 \uc2dc\uc791\ud588\ub2e4. \ub610, \uc0c1\uadfc\uc774\ub294 \ubc1c\uba38\uc758 \ud53c\ud06c \uc774\ub860\uc744 \uc99d\uba85\ud558\uace0 \uc2f6\uc9c0 \uc54a\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\ud589\ud788 \uc120\uc601\uc774\ub294 \uc0c1\uadfc\uc774\uc5d0\uac8c \ub178\ud2b8\ubd81 \uc0ac\uc6a9\uc744 \ud5c8\ub77d\ud588\ub2e4. \uc0c1\uadfc\uc774\ub294 \uc790\uc2e0\uc758 \uc218\ud559 \uc2e4\ub825\ubcf4\ub2e4 \ucf54\ub529 \uc2e4\ub825\uc744 \ub354 \ubbff\ub294\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub97c \ub3d5\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \uc218\uc5f4\uc758 \ud06c\uae30 N\uacfc \uac8c\uc784\uc758 \ub77c\uc6b4\ub4dc \uc218 K\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N, K &le; 10<sup>5<\/sup>)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \ucd1d N\uac1c\uc758 \uc22b\uc790 X<sub>i<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (-100 &le; X<sub>i<\/sub> &le; 100)<\/p>\r\n\r\n<p>\ub2e4\uc74c K\uac1c \uc904\uc5d0\ub294 \uc120\uc601\uc774\uac00 \ub0b4\ub9b0 \uba85\ub839\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uba85\ub839\uc740 C \ub610\ub294 P\ub85c \uc2dc\uc791\ud55c\ub2e4.<\/p>\r\n\r\n<p>C\ub85c \uc2dc\uc791\ud558\ub294 \uba85\ub839\uc740 \ubcc0\uacbd \uba85\ub839\uc774\uace0, \uadf8 \ub2e4\uc74c\uc5d0 i\uc640 V\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. X<sub>i<\/sub>\ub97c V\ub85c \ubcc0\uacbd\ud558\ub294 \uba85\ub839\uc774\ub2e4. (1 &le; i &le; N, -100 &le; V &le; 100)<\/p>\r\n\r\n<p>P\ub85c \uc2dc\uc791\ud558\ub294 \uba85\ub839\uc740 \uacf1\uc148 \uba85\ub839\uc774\uace0, \uadf8 \ub2e4\uc74c\uc5d0 i\uc640 j\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; i &le; j &le; N)<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \uacf1\uc148 \uba85\ub839\uc740 \ud56d\uc0c1 \ud55c \ubc88 \uc774\uc0c1\uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \uacf1\uc148 \uba85\ub839\uc758 \uacb0\uacfc\ub97c \ud55c \uc904\uc5d0 \ubaa8\ub450 \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4. \ucd9c\ub825\ud558\ub294 i\ubc88\uc9f8 \ubb38\uc790\ub294 i\ubc88\uc9f8 \uacf1\uc148 \uba85\ub839\uc758 \uacb0\uacfc\uc774\ub2e4. \uc591\uc218\uc778 \uacbd\uc6b0\uc5d0\ub294 +, \uc74c\uc218\uc778 \uacbd\uc6b0\uc5d0\ub294 -, \uc601\uc778 \uacbd\uc6b0\uc5d0\ub294 0\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\ubc1c\uba38\uc758 \ud53c\ud06c \uc774\ub860(Ballmer&#39;s Peak Theory)\uc740 \ud504\ub85c\uadf8\ub798\uba38\uc758 \ud608\uc911 \uc54c\ucf5c \ub18d\ub3c4\uac00 0.129% \uc640 0.138% \uc0ac\uc774\uc77c \ub54c \ucd08\uc778\uc801\uc778 \ucf54\ub529 \uc2e4\ub825\uc744 \ubc1c\ud718\ud55c\ub2e4\ub294 \uc774\ub860\uc774\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"5676","problem_lang":"1","title":"Interval Product","description":"<p>It&#39;s normal to feel worried and tense the day before a programming contest. To relax, you went out for a drink with some friends in a nearby pub. To keep your mind sharp for the next day, you decided to play the following game. To start, your friends will give you a sequence of N integers X<sub>1<\/sub>, X<sub>2<\/sub>, ... ,&nbsp;X<sub>N<\/sub>. Then, there will be K rounds; at each round, your friends will issue a command, which can be:<\/p>\r\n\r\n<ul>\r\n\t<li>a change command, when your friends want to change one of the values in the sequence; or<\/li>\r\n\t<li>a product command, when your friends give you two values I, J and ask you if the product X<sub>I<\/sub> &times; X<sub>I+1<\/sub> &times; ... &times; X<sub>J-1<\/sub> &times; X<sub>J<\/sub> is positive, negative or zero.<\/li>\r\n<\/ul>\r\n\r\n<p>Since you are at a pub, it was decided that the penalty for a wrong answer is to drink a pint of beer. You are worried this could a ect you negatively at the next day&#39;s contest, and you don&#39;t want to check if Ballmer&#39;s peak theory is correct. Fortunately, your friends gave you the right to use your notebook. Since you trust more your coding skills than your math, you decided to write a program to help you in the game.<\/p>\r\n","input":"<p>Each test case is described using several lines. The rst line contains two integers N and K, indicating respectively the number of elements in the sequence and the number of rounds of the game (1 &le; N, K &le; 10<sup>5<\/sup>). The second line contains N integers X<sub>i<\/sub> that represent the initial values of the sequence (100 &le; X<sub>i<\/sub> &le; 100 for i = 1, 2, ... , N). Each of the next K lines describes a command and starts with an uppercase letter that is either &quot;C&quot; or &quot;P&quot;. If the letter is &quot;C&quot;, the line describes a change command, and the letter is followed by two integers I and V indicating that X<sub>I<\/sub> must receive the value V (1 &le; I &le; N and 100 &le; V &le; 100). If the letter is &quot;P&quot;, the line describes a product command, and the letter is followed by two integers I and J indicating that the product from X<sub>I<\/sub> to X<sub>J<\/sub>, inclusive must be calculated (1 &le; I &le; J &le; N). Within each test case there is at least one product command.<\/p>\r\n","output":"<p>For each test case output a line with a string representing the result of all the product commands in the test case. The i-th character of the string represents the result of the i-th product command. If the result of the command is positive the character must be &quot;+&quot; (plus); if the result is negative the character must be &quot;-&quot; (minus); if the result is zero the character must be &quot;0&quot; (zero)<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Latin America > Latin America Regional Contests 2012 I번

  • 문제를 번역한 사람: baekjoon
  • 문제를 만든 사람: Renato Parente