시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB257144125517.745%

문제

기상청에서는 매 해마다 그 해에 내린 비의 양을 측정하여 발표하는데, 이를 그 해의 강수량이라 한다. 이를 토대로 사람들은 어느 해에 몇 년 만에 비가 가장 많이 왔다는 식의 이야기를 하곤 한다. 하지만 사람은 자신의 경험과 감각에 의존하여 이야기하기 때문에, 이러한 이야기가 때론 거짓이 되기도 한다. 따라서 당신은, 기상청의 공식적인 측정 결과를 바탕으로 이러한 이야기들의 진실 여부를 가려내려 한다. 때로는 기상청의 공식적인 발표 자료를 구할 수 없기 때문에, 참과 거짓을 가려내지 못하는 경우도 생길 수도 있다.

편의를 위해 사람들의 이야기를 “X년도에는 Y년도 이후 가장 많은 비가 내렸다”는 형태로 한정하기로 하자. 이러한 이야기는 다음의 조건들이 만족될 때 참이 된다.

  1. Y년도, X년도, 그리고 그 사이의 모든 년도들의 강수량에 대한 정보가 알려져 있다.
  2. X년도의 강수량은 Y년도의 강수량 이하이다.
  3. Y < Z < X를 만족하는 모든 Z들에 대해서, Z년도의 강수량은 X년도보다 적다.

강수량에 대한 정보가 알려져 있지 않은 년도에 대해서 강수량을 잘 가정할 경우에 위의 세 조건이 만족된다면, 이러한 경우는 사람들의 이야기가 가능한 경우가 된다. 그 외의 경우는 거짓이 된다.

강수량에 대한 정보와 사람들의 이야기에 대한 정보가 주어졌을 때, 참, 가능, 거짓 여부를 가려내는 프로그램을 작성하시오.

입력

첫째 줄에 정수 n(1 ≤ n ≤ 50,000)이 주어진다. 다음 n개의 줄에는 두 정수 y(0 ≤ |y| ≤ 1,000,000,000), r(1 ≤ r ≤ 1,000,000,000)이 주어지는데, 이는 y년도의 강수량이 r이라는 의미이다. 이러한 정보는 y가 증가하는 순서대로 주어진다. 그 다음 줄에는 정수 m(1 ≤ m ≤ 10,000)이 주어진다. 그 다음 m개의 줄에는 사람들의 이야기에 대한 정보를 나타내는 두 정수 Y, X(-1,000,000,000 ≤ Y < X ≤ 1,000,000,000)가 주어진다.

출력

m개의 줄에 각 사람들의 이야기에 대한 답을 출력한다. 참일 경우에는 true를, 가능할 경우에는 maybe를, 불가능한 경우에는 false를 출력한다.

예제 입력 1

4
2002 4920
2003 5901
2004 2832
2005 3890
2
2002 2005
2003 2005

예제 출력 1

false
true

예제 입력 2

3
1985 5782
1995 3048
2005 4890
2
1985 2005
2005 2015

예제 출력 2

maybe
maybe
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Z &lt; X\ub97c \ub9cc\uc871\ud558\ub294 \ubaa8\ub4e0 Z\ub4e4\uc5d0 \ub300\ud574\uc11c, Z\ub144\ub3c4\uc758 \uac15\uc218\ub7c9\uc740 X\ub144\ub3c4\ubcf4\ub2e4 \uc801\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\uac15\uc218\ub7c9\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc54c\ub824\uc838 \uc788\uc9c0 \uc54a\uc740 \ub144\ub3c4\uc5d0 \ub300\ud574\uc11c \uac15\uc218\ub7c9\uc744 \uc798 \uac00\uc815\ud560 \uacbd\uc6b0\uc5d0 \uc704\uc758 \uc138 \uc870\uac74\uc774 \ub9cc\uc871\ub41c\ub2e4\uba74, \uc774\ub7ec\ud55c \uacbd\uc6b0\ub294 \uc0ac\ub78c\ub4e4\uc758 \uc774\uc57c\uae30\uac00 \uac00\ub2a5\ud55c \uacbd\uc6b0\uac00 \ub41c\ub2e4. \uadf8 \uc678\uc758 \uacbd\uc6b0\ub294 \uac70\uc9d3\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uac15\uc218\ub7c9\uc5d0 \ub300\ud55c \uc815\ubcf4\uc640 \uc0ac\ub78c\ub4e4\uc758 \uc774\uc57c\uae30\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ucc38, \uac00\ub2a5, \uac70\uc9d3 \uc5ec\ubd80\ub97c \uac00\ub824\ub0b4\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc815\uc218 n(1 &le; n &le; 50,000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c n\uac1c\uc758 \uc904\uc5d0\ub294 \ub450 \uc815\uc218 y(0 &le; |y| &le; 1,000,000,000), r(1 &le; r &le; 1,000,000,000)\uc774 \uc8fc\uc5b4\uc9c0\ub294\ub370, \uc774\ub294 y\ub144\ub3c4\uc758 \uac15\uc218\ub7c9\uc774 r\uc774\ub77c\ub294 \uc758\ubbf8\uc774\ub2e4. \uc774\ub7ec\ud55c \uc815\ubcf4\ub294 y\uac00 \uc99d\uac00\ud558\ub294 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8 \ub2e4\uc74c \uc904\uc5d0\ub294 \uc815\uc218 m(1 &le; m &le; 10,000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8 \ub2e4\uc74c m\uac1c\uc758 \uc904\uc5d0\ub294 \uc0ac\ub78c\ub4e4\uc758 \uc774\uc57c\uae30\uc5d0 \ub300\ud55c \uc815\ubcf4\ub97c \ub098\ud0c0\ub0b4\ub294 \ub450 \uc815\uc218 Y, X(-1,000,000,000 &le; Y &lt; X &le; 1,000,000,000)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>m\uac1c\uc758 \uc904\uc5d0 \uac01 \uc0ac\ub78c\ub4e4\uc758 \uc774\uc57c\uae30\uc5d0 \ub300\ud55c \ub2f5\uc744 \ucd9c\ub825\ud55c\ub2e4. \ucc38\uc77c \uacbd\uc6b0\uc5d0\ub294 true\ub97c, \uac00\ub2a5\ud560 \uacbd\uc6b0\uc5d0\ub294 maybe\ub97c, \ubd88\uac00\ub2a5\ud55c \uacbd\uc6b0\uc5d0\ub294 false\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2094","problem_lang":"1","title":"Worst Weather Ever","description":"<p>&ldquo;Man, this year has the worst weather ever!&rdquo;, David said as he sat crouched in the small cave where we had sought shelter from yet another sudden rainstorm.<\/p>\r\n\r\n<p>&ldquo;Nuh-uh!&rdquo;, Diana immediately replied in her traditional know-it-all manner.<\/p>\r\n\r\n<p>&ldquo;Is too!&rdquo;, David countered cunningly.<\/p>\r\n\r\n<p>Terri\ufb01c. Not only were we stuck in this cave, now we would have to listen to those two nagging for at least an hour. It was time to cut this discussion short.<\/p>\r\n\r\n<p>&ldquo;Big nuh-uh. In fact, 93 years ago it had already rained \ufb01ve times as much by this time of year.&rdquo;<\/p>\r\n\r\n<p>&ldquo;Duh&rdquo;, David capitulated, &ldquo;so it&rsquo;s the worst weather in 93 years then.&rdquo;<\/p>\r\n\r\n<p>&ldquo;Nuh-uh, this is actually the worst weather in 23 years.&rdquo;, Diana again broke in.<\/p>\r\n\r\n<p>&ldquo;Yeah, well, whatever&rdquo;, David sighed, &ldquo;Who cares anyway?&rdquo;.<\/p>\r\n\r\n<p>Well, dear contestants, you care, don&rsquo;t you?<\/p>\r\n\r\n<p>Your task is to, given information about the amount of rain during different years in the history of the universe, and a series of statements in the form &ldquo;Year X had the most rain since year Y&rdquo;, determine whether these are true, might be true, or are false. We say that such a statement is true if:<\/p>\r\n\r\n<ul>\r\n\t<li>The amount of rain during these two years and all years between them is known.<\/li>\r\n\t<li>It rained at most as much during year X as it did during year Y.<\/li>\r\n\t<li>For every year Z satisfying Y &lt; Z &lt; X, the amount of rain during year Z was less than the amount of rain during year X.<\/li>\r\n<\/ul>\r\n\r\n<p>We say that such a statement might be true if there is an assignment of amounts of rain to years for which there is no information, such that the statement becomes true. We say that the statement is false otherwise.<\/p>\r\n","input":"<p>The input will consist of several test cases, each consisting of two parts.<\/p>\r\n\r\n<p>The \ufb01rst part begins with an integer 1 &le; n &le; 50000, indicating the number of different years for which there is information. Next follow n lines. The ith of these contains two integers &minus;10<sup>9<\/sup> &le; y<sub>i<\/sub> &le; 10<sup>9<\/sup> and 1 &le; r<sub>i<\/sub> &le; 10<sup>9<\/sup> indicating that there was r<sub>i<\/sub> millilitres of rain during year y<sub>i<\/sub> (note that the amount of rain during a year can be any nonnegative integer, the limitation on r<sub>i<\/sub> is just a limitation on the input). You may assume that y<sub>i<\/sub> &lt; y<sub>i+1<\/sub> for 1 &le; i &lt; n.<\/p>\r\n\r\n<p>The second part of a test case starts with an integer 1 &le; m &le; 10000, indicating the number of queries to process. The following m lines each contain two integers &minus;10<sup>9<\/sup> &le; Y &lt; X &le; 10<sup>9<\/sup> indicating two years.<\/p>\r\n\r\n<p>There is a blank line between test cases. The input is terminated by a case where n = 0 and m = 0. This case should not be processed.<\/p>\r\n\r\n<p>Technical note: Due to the size of the input, the use of cin\/cout in C++ might be too slow in this problem. Use scanf\/printf instead. In Java, make sure that both input and output is buffered.<\/p>\r\n","output":"<p>There should be m lines of output for each test case, corresponding to the m queries. Queries should be answered with &ldquo;true&rdquo; if the statement is true, &ldquo;maybe&rdquo; if the statement might be true, and &ldquo;false&rdquo; if the statement is false.<\/p>\r\n\r\n<p>Separate the output of two different test cases by a blank line.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]