문제
"과거를 지배하는 자가 미래를 지배한다."
- 조지 오웰, '1984'
전 우주의 지성체로 구성된 UCPC (Universe Consistency Preservation Committee, 우주 균일성 유지 위원회)는 우주가 $N$개의 시간선으로 분기되어 있음을 발견했다. $i$번째 시간선은 1ドル$ 이상 $N$ 이하의 정수 시각 $a_i$를 가지며 각 시간선의 시각은 모두 다르다. 아직 각 시간선은 안정된 상태지만 언제든지 불안정해질 수 있으며, 불안정한 시간선은 전 우주에 인간의 인지 능력을 벗어난 악영향을 끼칠 수 있다. 최악의 경우 우주의 절멸까지 우려해야 하는 중대한 사태임에 따라, UCPC는 $N$개의 시간선을 현재 시각 $t$에 맞춰 하나로 통합해야 한다는 결론에 도달했다.
시간선 통합은 인접한 두 시간선을 시각의 최댓값 또는 최솟값을 가지는 하나의 시간선으로 합치는 과정이다. 1ドル \leq i < N$일 때 $i$번째 시간선과 $i+1$번째 시간선은 인접해 있다. 시간선 통합은 우주적 규모의 비가역적 현상이기 때문에 극도로 신중히 결정되어야 하며, 두 시각의 최댓값을 선택하는 통합과 최솟값을 선택하는 통합의 수행 횟수에도 제약이 있다. 주어진 제약사항 속에서도 UCPC가 성공적으로 모든 시간선을 하나로 통합할 수 있을지 판단해보자.
출력
각 테스트 케이스에 대한 답을 순서대로 출력한다.
조건에 맞는 시간선 통합이 불가능하면, 첫째 줄에 no 를 출력한다.
가능하다면, 첫째 줄에는 yes 를 출력하고, 둘째 줄에는 m 과 M 으로만 구성된 길이 $N-1$의 문자열 $S$를 출력하며, 셋째 줄에는 $N-1$ 개의 정수 $b_i$를 공백으로 구분해 출력한다.
$S_i$가 m 이면 $i$번째 통합은 최솟값 통합이며, M 이면 최댓값 통합이다. $b_i$는 $i$번째 통합에 $b_i$번째 시간선과 $b_i + 1$번째 시간선을 통합했음을 의미한다. 조건에 부합하는 시간선 통합 방법이 여러 가지 있으면 그중 아무 것이나 출력한다.
$i$번째 시간선 통합을 할 때는 시간선이 총 $N-i+1$개 남아 있으므로, 1ドル \leq b_i \leq N-i$를 충족해야 함에 유의한다.
예제 출력 1
복사
yes
mMm
2 1 1
no
[{"problem_id":"34093","problem_lang":"0","title":"\uc2dc\uac04\uc120 \ud1b5\ud569","description":"<p style=\"text-align: center;\">&quot;\uacfc\uac70\ub97c \uc9c0\ubc30\ud558\ub294 \uc790\uac00 \ubbf8\ub798\ub97c \uc9c0\ubc30\ud55c\ub2e4.&quot;<\/p>\r\n\r\n<p style=\"text-align: center;\">- \uc870\uc9c0 \uc624\uc6f0, &#39;1984&#39;<\/p>\r\n\r\n<p>\uc804 \uc6b0\uc8fc\uc758 \uc9c0\uc131\uccb4\ub85c \uad6c\uc131\ub41c UCPC (Universe Consistency Preservation Committee, \uc6b0\uc8fc \uade0\uc77c\uc131 \uc720\uc9c0 \uc704\uc6d0\ud68c)\ub294 \uc6b0\uc8fc\uac00 $N$\uac1c\uc758 \uc2dc\uac04\uc120\uc73c\ub85c \ubd84\uae30\ub418\uc5b4 \uc788\uc74c\uc744 \ubc1c\uacac\ud588\ub2e4. $i$\ubc88\uc9f8 \uc2dc\uac04\uc120\uc740 $1$ \uc774\uc0c1 $N$ \uc774\ud558\uc758 \uc815\uc218 \uc2dc\uac01 $a_i$\ub97c \uac00\uc9c0\uba70 \uac01 \uc2dc\uac04\uc120\uc758 \uc2dc\uac01\uc740 \ubaa8\ub450 \ub2e4\ub974\ub2e4. \uc544\uc9c1 \uac01 \uc2dc\uac04\uc120\uc740 \uc548\uc815\ub41c \uc0c1\ud0dc\uc9c0\ub9cc \uc5b8\uc81c\ub4e0\uc9c0 \ubd88\uc548\uc815\ud574\uc9c8 \uc218 \uc788\uc73c\uba70, \ubd88\uc548\uc815\ud55c \uc2dc\uac04\uc120\uc740 \uc804 \uc6b0\uc8fc\uc5d0 \uc778\uac04\uc758 \uc778\uc9c0 \ub2a5\ub825\uc744 \ubc97\uc5b4\ub09c \uc545\uc601\ud5a5\uc744 \ub07c\uce60 \uc218 \uc788\ub2e4. \ucd5c\uc545\uc758 \uacbd\uc6b0 \uc6b0\uc8fc\uc758 \uc808\uba78\uae4c\uc9c0 \uc6b0\ub824\ud574\uc57c \ud558\ub294 \uc911\ub300\ud55c \uc0ac\ud0dc\uc784\uc5d0 \ub530\ub77c, UCPC\ub294 $N$\uac1c\uc758 \uc2dc\uac04\uc120\uc744 \ud604\uc7ac \uc2dc\uac01 $t$\uc5d0 \ub9de\ucdb0 \ud558\ub098\ub85c \ud1b5\ud569\ud574\uc57c \ud55c\ub2e4\ub294 \uacb0\ub860\uc5d0 \ub3c4\ub2ec\ud588\ub2e4.<\/p>\r\n\r\n<p>\uc2dc\uac04\uc120 \ud1b5\ud569\uc740 \uc778\uc811\ud55c \ub450 \uc2dc\uac04\uc120\uc744 \uc2dc\uac01\uc758 \ucd5c\ub313\uac12 \ub610\ub294 \ucd5c\uc19f\uac12\uc744 \uac00\uc9c0\ub294 \ud558\ub098\uc758 \uc2dc\uac04\uc120\uc73c\ub85c \ud569\uce58\ub294 \uacfc\uc815\uc774\ub2e4. $1 \\leq i &lt; N$\uc77c \ub54c $i$\ubc88\uc9f8 \uc2dc\uac04\uc120\uacfc $i+1$\ubc88\uc9f8 \uc2dc\uac04\uc120\uc740 \uc778\uc811\ud574 \uc788\ub2e4. \uc2dc\uac04\uc120 \ud1b5\ud569\uc740 \uc6b0\uc8fc\uc801 \uaddc\ubaa8\uc758 \ube44\uac00\uc5ed\uc801 \ud604\uc0c1\uc774\uae30 \ub54c\ubb38\uc5d0 \uadf9\ub3c4\ub85c \uc2e0\uc911\ud788 \uacb0\uc815\ub418\uc5b4\uc57c \ud558\uba70, \ub450 \uc2dc\uac01\uc758 \ucd5c\ub313\uac12\uc744 \uc120\ud0dd\ud558\ub294 \ud1b5\ud569\uacfc \ucd5c\uc19f\uac12\uc744 \uc120\ud0dd\ud558\ub294 \ud1b5\ud569\uc758 \uc218\ud589 \ud69f\uc218\uc5d0\ub3c4 \uc81c\uc57d\uc774 \uc788\ub2e4. \uc8fc\uc5b4\uc9c4 \uc81c\uc57d\uc0ac\ud56d \uc18d\uc5d0\uc11c\ub3c4 UCPC\uac00 \uc131\uacf5\uc801\uc73c\ub85c \ubaa8\ub4e0 \uc2dc\uac04\uc120\uc744 \ud558\ub098\ub85c \ud1b5\ud569\ud560 \uc218 \uc788\uc744\uc9c0 \ud310\ub2e8\ud574\ubcf4\uc790.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 $T$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. ($1 \\leq T \\leq 100\\,000$)<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \uc2dc\uac04\uc120\uc758 \uac1c\uc218\ub97c \uc758\ubbf8\ud558\ub294 \uc815\uc218 $N$, \ud604\uc7ac \uc2dc\uac01\uc744 \uc758\ubbf8\ud558\ub294 \uc815\uc218 $t$, \uac00\ub2a5\ud55c \ucd5c\uc19f\uac12 \ud1b5\ud569\uc758 \ud69f\uc218\ub97c \uc758\ubbf8\ud558\ub294 \uc815\uc218 $a$, \uac00\ub2a5\ud55c \ucd5c\ub313\uac12 \ud1b5\ud569\uc758 \ud69f\uc218\ub97c \uc758\ubbf8\ud558\ub294 \uc815\uc218 $b$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. ($2 \\leq N \\leq 500\\,000$; $1 \\leq t \\leq N$; $0 \\leq a, b &lt; N$; $a + b \\geq N-1$)<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ub458\uc9f8 \uc904\uc5d0\ub294 $N$\uac1c\uc758 \uc815\uc218 $A_1, A_2, \\cdots, A_N$\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $A_i$\ub294 $i$\ubc88\uc9f8 \uc2dc\uac04\uc120\uc758 \uc2dc\uac01\uc744 \uc758\ubbf8\ud55c\ub2e4. \uac01 $A_i$\ub294 $1$ \uc774\uc0c1 $N$ \uc774\ud558\uc758 \uc815\uc218\uc774\uba70 \uc11c\ub85c \ub2e4\ub974\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 $N$\uc758 \ud569\uc740 $500\\,000$ \uc774\ud558\uc774\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud55c \ub2f5\uc744 \uc21c\uc11c\ub300\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc870\uac74\uc5d0 \ub9de\ub294 \uc2dc\uac04\uc120 \ud1b5\ud569\uc774 \ubd88\uac00\ub2a5\ud558\uba74, \uccab\uc9f8 \uc904\uc5d0 <span style=\"color:#e74c3c;\"><code>no<\/code><\/span>\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uac00\ub2a5\ud558\ub2e4\uba74, \uccab\uc9f8 \uc904\uc5d0\ub294 <span style=\"color:#e74c3c;\"><code>yes<\/code><\/span>\ub97c \ucd9c\ub825\ud558\uace0, \ub458\uc9f8 \uc904\uc5d0\ub294 <span style=\"color:#e74c3c;\"><code>m<\/code><\/span>\uacfc <span style=\"color:#e74c3c;\"><code>M<\/code><\/span>\uc73c\ub85c\ub9cc \uad6c\uc131\ub41c \uae38\uc774 $N-1$\uc758 \ubb38\uc790\uc5f4 $S$\ub97c \ucd9c\ub825\ud558\uba70, \uc14b\uc9f8 \uc904\uc5d0\ub294 $N-1$ \uac1c\uc758 \uc815\uc218 $b_i$\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud574 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>$S_i$\uac00 <span style=\"color:#e74c3c;\"><code>m<\/code><\/span>\uc774\uba74 $i$\ubc88\uc9f8 \ud1b5\ud569\uc740 \ucd5c\uc19f\uac12 \ud1b5\ud569\uc774\uba70, <span style=\"color:#e74c3c;\"><code>M<\/code><\/span>\uc774\uba74 \ucd5c\ub313\uac12 \ud1b5\ud569\uc774\ub2e4. $b_i$\ub294 $i$\ubc88\uc9f8 \ud1b5\ud569\uc5d0 $b_i$\ubc88\uc9f8 \uc2dc\uac04\uc120\uacfc $b_i + 1$\ubc88\uc9f8 \uc2dc\uac04\uc120\uc744 \ud1b5\ud569\ud588\uc74c\uc744 \uc758\ubbf8\ud55c\ub2e4. \uc870\uac74\uc5d0 \ubd80\ud569\ud558\ub294 \uc2dc\uac04\uc120 \ud1b5\ud569 \ubc29\ubc95\uc774 \uc5ec\ub7ec \uac00\uc9c0 \uc788\uc73c\uba74 \uadf8\uc911 \uc544\ubb34 \uac83\uc774\ub098 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>$i$\ubc88\uc9f8 \uc2dc\uac04\uc120 \ud1b5\ud569\uc744 \ud560 \ub54c\ub294 \uc2dc\uac04\uc120\uc774 \ucd1d $N-i+1$\uac1c \ub0a8\uc544 \uc788\uc73c\ubbc0\ub85c, $1 \\leq b_i \\leq N-i$\ub97c \ucda9\uc871\ud574\uc57c \ud568\uc5d0 \uc720\uc758\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"34093","problem_lang":"1","title":"Merging Timelines","description":"<p style=\"text-align: center;\">&quot;Who controls the past controls the future.&#39;&#39;<\/p>\r\n\r\n<p style=\"text-align: center;\">- George Orwell, &#39;1984&#39;<\/p>\r\n\r\n<p>UCPC (Universe Consistency Preservation Committee), consisting of intelligent species all across the universe, has discovered that the universe is diverged into $N$ timelines. Timeline $i$ has an integer time $a_i$ which is greater than or equal to $1$ and less than or equal to $N$, and the time values are all different. Each timeline is stable for the time being, but can become unstable at any moment, and an unstable timeline can have adverse effects beyond what humanity can perceive. Since consequences are dire with the entire universe on the line, UCPC has come to the conclusion that the $N$ timelines must be merged into one at the current time $t$.<\/p>\r\n\r\n<p>Merging timelines is the process of combining two adjacent timelines into one, taking either the maximum or the minimum of their time values. For $1 \\leq i &lt; N$, timelines $i$ and $i+1$ are considered adjacent. Merging timelines is an irreversible event on a cosmic scale and must be carried out under extreme care. There is thus a limit on how many times the timelines can be merged taking the maximum time and the minimum time, respectively. Under these constraints, determine if UCPC can successfully merge all timelines into one.<\/p>\r\n","input":"<p>The first line of input contains $T$, denoting the number of testcases. ($1 \\leq T \\leq 100\\,000$)<\/p>\r\n\r\n<p>The first line of input for each testcase contains $N$, denoting the number of timelines, $t$, denoting the current time, $a$, denoting the maximum number of timeline merges taking the minimum time, and $b$, denoting the maximum number of timeline merges taking the maximum time. ($2 \\leq N \\leq 500\\,000$; $1 \\leq t \\leq N$; $0 \\leq a, b &lt; N$; $a + b \\geq N-1$)<\/p>\r\n\r\n<p>The second line of input for each testcase contains $N$ space-separated integers $A_1, A_2, \\cdots, A_N$. $A_i$ denotes the time on timeline $i$. Each $A_i$ is an integer greater than or equal to $1$ and less than or equal to $N$ and pairwise distinct.<\/p>\r\n\r\n<p>The sum of $N$ over all testcases does not exceed $500\\,000$.<\/p>\r\n","output":"<p>Print the answer for each testcase in order.<\/p>\r\n\r\n<p>If it is impossible to merge the timelines under the given conditions, print &lt;code&gt;no&lt;\\code&gt; in the first line.<\/p>\r\n\r\n<p>If it is possible, print &lt;code&gt;yes&lt;\\code&gt; in the first line, and in the second line, print a string $S$ of length $N-1$ consisting only of &lt;code&gt;m&lt;\\code&gt; and &lt;code&gt;M&lt;\\code&gt;, and in the third line, print $N-1$ space-separated integers $b_i$.<\/p>\r\n\r\n<p>$S_i$ is &lt;code&gt;m&lt;\\code&gt; if the $i$-th merge is taking the minimum time, and &lt;code&gt;M&lt;\\code&gt; if it is taking the maximum time. $b_i$ denotes that the $i$-th merge is performed between timelines $b_i$ and $b_i + 1$. If there are multiple ways to merge satisfying the conditions, print any one of them.<\/p>\r\n\r\n<p>Note that there are $N-i+1$ timelines remaining before the $i$-th merge, and thus $1 \\leq b_i \\leq N-i$ must be satisfied.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English"}]