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문제

옛날 아주 먼 옛날, 한 마을에 용이 살고 있었습니다. 그 마을에는 호수가 여러개 있었는데, 그 호수들은 모두 물이 들어 있었습니다. 이 마을에는 가끔 비가 내립니다. 신기하게도 비는 한 호수 위에서만 내린다고 합니다. 비가 내렸을 때 그 호수가 비어있다면 그 호수는 다시 물로 꽉 차지만, 만약 호수에 물이 있는데 다시 비가 내릴경우 호수가 넘쳐 흘러서 엄청난 재앙을 불러 일으킬 수 있었습니다. 용은 비가 오지 않는 날에는 하루에 한개의 호수에 있는 물을 전부 먹어 치울 수 있었지만, 비가 오는 날에는 물을 마시지 못했습니다. 용은 신비한 능력을 가지고 있어서 언제 어디서 비가 올지를 정확히 알아낼 수 있었기 때문에, 비가 오기 전 그 호수의 물을 전부 먹어치울 수 있었고 마을사람들은 행복하게 살았답니다.

그런데 어느 여름날, 장맛비가 찾아왔습니다. 용은 언제 어디서 호수의 물을 먹을지를 계산하려고 했지만, 엄청난 양의 비에 당황한 나머지 실패하고 말았답니다. 여러분이 용을 도와서 재앙으로부터 마을을 지켜주세요!

입력

첫 번째 줄에는 테스트 케이스의 수 Z가 주어진다.

각 테스트 케이스의 첫 번째 줄에는 두 개의 자연수 n,m이 주어진다. n은 호수의 개수이고, m은 호수에 비가 내리는 날의 수이다. (n ≤ 106, m ≤ 106)

각 테스트 케이스의 두 번째 줄에는 m개의 정수 t1, t2, t3,...,tm 이 주어진다. (0 ≤ ti ≤ n) 만약 ti가 자연수라면 i번째 날에는 ti번 호수에서 비가 내림을 의미한다. ti가 0이라면 i번째 날에는 비가 오지 않음을 의미하고, 이 날은 용이 호수로부터 물을 마실 수 있다. 용은 비가 오는 날에는 물을 마시지 않는다는 사실을 기억하라.

출력

첫 번째 줄에 만약 재앙을 막을 수 있다면 YES를, 막을 수 없다면 NO를 출력한다.

만약 YES인 경우에는 두 번째 줄에 ℓ개의 자연수 또는 0을 출력한다. (이때 ℓ은 일기예보에서 주어진 0의 개수, 즉 비가 오지 않는 날의 수이다.) 각 자연수는 용이 물을 마셔야 할 호수의 번호를 나타내며, 만약 0일 경우는 아무 호수에서도 물을 마시지 않음을 의미한다. (아무리 용이라도 빈 호수에서는 물을 마실 수 없기 때문이다.)

예제 입력 1

4
2 4
0 0 1 1
2 4
0 1 0 2
2 3
0 1 2
2 4
0 0 0 1

예제 출력 1

NO
YES
1 2
NO
YES
0 1 0
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(n &le; 10<sup>6<\/sup>, m &le; 10<sup>6<\/sup>)<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ub450 \ubc88\uc9f8 \uc904\uc5d0\ub294 m\uac1c\uc758 \uc815\uc218 t<sub>1<\/sub>, t<sub>2<\/sub>, t<sub>3<\/sub>,...,t<sub>m<\/sub> \uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (0 &le; t<sub>i<\/sub> &le; n) \ub9cc\uc57d t<sub>i<\/sub>\uac00 \uc790\uc5f0\uc218\ub77c\uba74 i\ubc88\uc9f8 \ub0a0\uc5d0\ub294 t<sub>i<\/sub>\ubc88 \ud638\uc218\uc5d0\uc11c \ube44\uac00 \ub0b4\ub9bc\uc744 \uc758\ubbf8\ud55c\ub2e4. t<sub>i<\/sub>\uac00 0\uc774\ub77c\uba74 i\ubc88\uc9f8 \ub0a0\uc5d0\ub294 \ube44\uac00 \uc624\uc9c0 \uc54a\uc74c\uc744 \uc758\ubbf8\ud558\uace0, \uc774 \ub0a0\uc740 \uc6a9\uc774 \ud638\uc218\ub85c\ubd80\ud130 \ubb3c\uc744 \ub9c8\uc2e4 \uc218 \uc788\ub2e4. \uc6a9\uc740 \ube44\uac00 \uc624\ub294 \ub0a0\uc5d0\ub294 \ubb3c\uc744 \ub9c8\uc2dc\uc9c0 \uc54a\ub294\ub2e4\ub294 \uc0ac\uc2e4\uc744 \uae30\uc5b5\ud558\ub77c.<\/p>\r\n","output":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \ub9cc\uc57d \uc7ac\uc559\uc744 \ub9c9\uc744 \uc218 \uc788\ub2e4\uba74 YES\ub97c, \ub9c9\uc744 \uc218 \uc5c6\ub2e4\uba74 NO\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d YES\uc778 \uacbd\uc6b0\uc5d0\ub294 \ub450 \ubc88\uc9f8 \uc904\uc5d0 \u2113\uac1c\uc758 \uc790\uc5f0\uc218 \ub610\ub294 0\uc744 \ucd9c\ub825\ud55c\ub2e4. (\uc774\ub54c \u2113\uc740 \uc77c\uae30\uc608\ubcf4\uc5d0\uc11c \uc8fc\uc5b4\uc9c4 0\uc758 \uac1c\uc218, \uc989 \ube44\uac00 \uc624\uc9c0 \uc54a\ub294 \ub0a0\uc758 \uc218\uc774\ub2e4.) \uac01 \uc790\uc5f0\uc218\ub294 \uc6a9\uc774 \ubb3c\uc744 \ub9c8\uc154\uc57c \ud560 \ud638\uc218\uc758 \ubc88\ud638\ub97c \ub098\ud0c0\ub0b4\uba70, \ub9cc\uc57d 0\uc77c \uacbd\uc6b0\ub294 \uc544\ubb34 \ud638\uc218\uc5d0\uc11c\ub3c4 \ubb3c\uc744 \ub9c8\uc2dc\uc9c0 \uc54a\uc74c\uc744 \uc758\ubbf8\ud55c\ub2e4. (\uc544\ubb34\ub9ac \uc6a9\uc774\ub77c\ub3c4 \ube48 \ud638\uc218\uc5d0\uc11c\ub294 \ubb3c\uc744 \ub9c8\uc2e4 \uc218 \uc5c6\uae30 \ub54c\ubb38\uc774\ub2e4.)<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3430","problem_lang":"1","title":"Enter The Dragon","description":"<p>The capital of Ardenia is surrounded by several lakes, and each of them is initially full of water. Currently, heavy rainfalls are expected over the land. Such a rain falls to one of the lakes: if the lake is dry and empty, then it will be filled with water; if the lake is already full, then it will overflow, which will result in a natural disaster. Fortunately, the citizens have a dragon at their disposal (and they will not hesitate to use it). The dragon may drink the whole water from a lake in one sitting. Also, the mages of Ardenia already predicted the weather conditions for the next couple of years. The only question is: from which lake and when should the dragon drink to prevent a catastrophe?<\/p>\r\n\r\n<p>The input contains several test cases. The first line of the input contains a positive integer Z &le; 40, denoting the number of test cases. Then Z test cases follow, each conforming to the format described in section Input. For each test case, your program has to write an output conforming to the format described in section Output.<\/p>\r\n","input":"<p>The first line of the input instance contains two space-separated positive integers n &le; 10<sup>6<\/sup> and m &le; 10<sup>6<\/sup>, where n is the number of lakes. (There are at most 10 input instances for which n &ge; 10<sup>5<\/sup> or m &ge; 10<sup>5<\/sup>.) The second line contains the weather forecast for the next m days: m space-separated integers t<sub>1<\/sub>, t<sub>2<\/sub>, ... , t<sub>m<\/sub> (t<sub>i<\/sub> &isin; [0, n]). If t<sub>i<\/sub> &isin; [1, n], it means a heavy rainfall over lake t<sub>i<\/sub> at day i. If t<sub>i<\/sub> = 0, there is no rain at day i, and the dragon has the time to drink the water from one lake of your choice. Note that the dragon does not drink on a rainy day.<\/p>\r\n","output":"<p>In the first line your program should output word YES if it is possible to prevent a catastrophic overflow and NO otherwise. In the former case, you should output the second line containing \u2113 integers from the range [0, n], where \u2113 is the number of zeros in the weather forecast description, i.e., the number of non-rainy days. Each of these integers denotes the number of the lake from which the dragon should drink; zero means the dragon should not drink from any lake (this might be necessary, as even the dragon cannot drink from an empty lake).<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Europe > Central European Regional Contest > CERC 2010 E번