문제
Bob와 Alice는 그래프에서 최단 경로를 찾는 게임을 즐겨한다.
동생 Bob은 아직 어려서 실수를 많이 하기 때문에 Alice는 Bob가 연습할 수 있도록 다음과 같은 문제를 제시했다.
먼저, 길이를 나타내는 정수 $L$을 정한 후, 0ドル$부터 10ドル^L-1$ 까지의 총 10ドル^L$개의 양의 정수를 이용하여 아래 규칙에 따라 그래프를 만든다:
노드: 0ドル$부터 10ドル^L-1$ 까지의 각 정수는 그래프의 고유한 노드를 나타낸다. 이 때, 각 정수는 선행하는 0ドル$을 붙여 반드시 길이가 $L$이 되도록 만든다. 예를 들어 $L = 2$라면 00,ドル 01, 02, \dots, 98, 99$로 총 100ドル$개의 노드를 만들게 된다.
간선: 두 정점 $(x, y)$ 사이에 간선이 있으려면 $x$와 $y$의 1ドル$의 자리, 10ドル$의 자리, ..., 10ドル^{L-1}$의 자리를 비교했을 때 딱 한 곳만 달라야 하고 그 차이가 정확히 1ドル$이 되어야 한다. 예를 들어 $L = 2$인 경우, 00ドル$과 01ドル,ドル 01ドル$과 11ドル,ドル 27ドル$과 37ドル,ドル 36ドル$과 46ドル$ 사이에는 간선이 있고, 00ドル$과 02ドル,ドル 01ドル$과 10ドル,ドル 36ドル$과 47ドル$ 혹은 46ドル$과 57ドル$사이에는 간선이 없다.
아래 그림은 $L = 2$ 인 경우 그래프의 일부를 보여준다.
위 규칙에 따라 그래프를 만든 뒤, Alice는 Bob에게 두 정점 $x$와 $y$사이의 최단 경로 중 사전 순으로 정렬했을 시 $K$번째에 해당하는 최단 경로를 찾아보라고 했다. 예를 들어 $L = 2,ドル $x = 37,ドル $y = 55$인 경우를 생각해보자. 이 경우 두 노드 사이의 최단 거리는 4ドル$이며, 아래와 같이 총 여섯 개의 최단 경로가 존재한다. 만약 $K = 3$이라면 정답은 3ドル$번째 최단 경로인 37ドル - 36 - 46 - 56 - 55$가 된다.
37ドル - 36 - 35 - 45 - 55$
37ドル - 36 - 46 - 45 - 55$ 위의 경로와 비교하면 3ドル$번째 노드인 35ドル$가 46ドル$보다 사전 순으로 앞선다.
37ドル - 36 - 46 - 56 - 55$ 위의 경로와 비교하면 4ドル$번째 노드인 45ドル$가 56ドル$보다 사전 순으로 앞선다.
37ドル - 47 - 46 - 45 - 55$ 위의 경로와 비교하면 2ドル$번째 노드인 36ドル$이 47ドル$보다 사전 순으로 앞선다.
37ドル - 47 - 46 - 56 - 55$ 위의 경로와 비교하면 4ドル$번째 노드인 45ドル$가 56ドル$보다 사전 순으로 앞선다.
37ドル - 47 - 57 - 56 - 55$ 위의 경로와 비교하면 3ドル$번째 노드인 46ドル$이 57ドル$보다 사전순으로 앞선다.
입력으로 $L,ドル $K,ドル $x,ドル $y$가 주어졌을 때 Bob을 도와 $x$와 $y$사이의 최단 경로 중 사전 순으로 $K$번째 최단 경로를 구해보자. 만약 $x$와 $y$사이의 최단 경로의 개수가 $K$보다 작다면 "NO"를 출력하도록 한다.
출력
각 테스트 케이스의 정답을 각 줄에 출력한다.
$K$번째 최단 경로가 존재하는 경우 해당 최단 경로를 출력하고, 그렇지 않은 경우 "NO"를 출력한다 (따옴표 제외).
제한
1ドル ≤ T ≤ 15$
2ドル ≤ L ≤ 4$
1ドル ≤ K ≤ 10^{18}$
0ドル ≤ x, y < 10^L$
$x,ドル $y$는 언제나 선행 0ドル$을 포함하여 길이가 $L$인 형태로 주어진다.
예제 출력 1
복사
20 21 22
NO
008 018 028 038 048 148 248 258
NO
2022 2021 3021 3031 3041 3141
NO
0000 0001 0002 1002 1012 1022 1122 1123 1133 1143 1243 2243 3243 3244 4244 4254 4354 4364 5364 6364 6464 6474 6484 6584 6684 7684 7784 7785 7786 7787 7788 7888 7988 8988 8998 9998 9999
예제 1-2: 20ドル$과 22ドル$사이의 최단 경로는 20ドル - 21 - 22$ 하나 뿐이다.
예제 3-4: 008ドル$과 258ドル$사이의 최단 경로는 총 21ドル$개 존재한다.
예제 5-6: 2022ドル$와 3141ドル$사이의 최단 경로는 총 60ドル$개 존재한다.
예제 출력 2
복사
37 36 35 45 55
37 36 46 45 55
37 36 46 56 55
37 47 46 45 55
37 47 46 56 55
37 47 57 56 55
NO
[{"problem_id":"24436","problem_lang":"0","title":"K\ubc88\uc9f8 \ucd5c\ub2e8 \uacbd\ub85c","description":"<p>Bob\uc640 Alice\ub294 \uadf8\ub798\ud504\uc5d0\uc11c \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ucc3e\ub294 \uac8c\uc784\uc744 \uc990\uaca8\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\uc0dd Bob\uc740 \uc544\uc9c1 \uc5b4\ub824\uc11c \uc2e4\uc218\ub97c \ub9ce\uc774 \ud558\uae30 \ub54c\ubb38\uc5d0 Alice\ub294 Bob\uac00 \uc5f0\uc2b5\ud560 \uc218 \uc788\ub3c4\ub85d \ub2e4\uc74c\uacfc \uac19\uc740 \ubb38\uc81c\ub97c \uc81c\uc2dc\ud588\ub2e4.<\/p>\r\n\r\n<p>\uba3c\uc800, \uae38\uc774\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218 $L$\uc744 \uc815\ud55c \ud6c4, $0$\ubd80\ud130 $10^L-1$ \uae4c\uc9c0\uc758 \ucd1d $10^L$\uac1c\uc758 \uc591\uc758 \uc815\uc218\ub97c \uc774\uc6a9\ud558\uc5ec \uc544\ub798 \uaddc\uce59\uc5d0 \ub530\ub77c \uadf8\ub798\ud504\ub97c \ub9cc\ub4e0\ub2e4:<\/p>\r\n\r\n<ul>\r\n\t<li>\ub178\ub4dc: $0$\ubd80\ud130 $10^L-1$ \uae4c\uc9c0\uc758 \uac01 \uc815\uc218\ub294 \uadf8\ub798\ud504\uc758 \uace0\uc720\ud55c \ub178\ub4dc\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uc774 \ub54c, \uac01 \uc815\uc218\ub294 \uc120\ud589\ud558\ub294 $0$\uc744 \ubd99\uc5ec \ubc18\ub4dc\uc2dc \uae38\uc774\uac00 $L$\uc774 \ub418\ub3c4\ub85d \ub9cc\ub4e0\ub2e4. \uc608\ub97c \ub4e4\uc5b4 $L = 2$\ub77c\uba74 $00, 01, 02, \\dots, 98, 99$\ub85c \ucd1d $100$\uac1c\uc758 \ub178\ub4dc\ub97c \ub9cc\ub4e4\uac8c \ub41c\ub2e4.<\/li>\r\n\t<li>\uac04\uc120: \ub450 \uc815\uc810 $(x, y)$ \uc0ac\uc774\uc5d0 \uac04\uc120\uc774 \uc788\uc73c\ub824\uba74 $x$\uc640 $y$\uc758 $1$\uc758 \uc790\ub9ac, $10$\uc758 \uc790\ub9ac, ..., $10^{L-1}$\uc758 \uc790\ub9ac\ub97c \ube44\uad50\ud588\uc744 \ub54c \ub531 \ud55c \uacf3\ub9cc \ub2ec\ub77c\uc57c \ud558\uace0 \uadf8 \ucc28\uc774\uac00 \uc815\ud655\ud788 $1$\uc774 \ub418\uc5b4\uc57c \ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4 $L = 2$\uc778 \uacbd\uc6b0, $00$\uacfc $01$, $01$\uacfc $11$, $27$\uacfc $37$, $36$\uacfc $46$ \uc0ac\uc774\uc5d0\ub294 \uac04\uc120\uc774 \uc788\uace0, $00$\uacfc $02$, $01$\uacfc $10$, $36$\uacfc $47$ \ud639\uc740 $46$\uacfc $57$\uc0ac\uc774\uc5d0\ub294 \uac04\uc120\uc774 \uc5c6\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc544\ub798 \uadf8\ub9bc\uc740 $L = 2$ \uc778 \uacbd\uc6b0 \uadf8\ub798\ud504\uc758 \uc77c\ubd80\ub97c \ubcf4\uc5ec\uc900\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/5eaba66a-f88e-4ce2-96c1-74530ffcb0b1\/-\/preview\/\" style=\"width: 500px;\" \/><\/p>\r\n\r\n<p>\uc704 \uaddc\uce59\uc5d0 \ub530\ub77c \uadf8\ub798\ud504\ub97c \ub9cc\ub4e0 \ub4a4, Alice\ub294 Bob\uc5d0\uac8c \ub450 \uc815\uc810 $x$\uc640 $y$\uc0ac\uc774\uc758 \ucd5c\ub2e8 \uacbd\ub85c \uc911 \uc0ac\uc804 \uc21c\uc73c\ub85c \uc815\ub82c\ud588\uc744 \uc2dc $K$\ubc88\uc9f8\uc5d0 \ud574\ub2f9\ud558\ub294 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ucc3e\uc544\ubcf4\ub77c\uace0 \ud588\ub2e4. \uc608\ub97c \ub4e4\uc5b4 $L = 2$, $x = 37$, $y = 55$\uc778 \uacbd\uc6b0\ub97c \uc0dd\uac01\ud574\ubcf4\uc790. \uc774 \uacbd\uc6b0 \ub450 \ub178\ub4dc \uc0ac\uc774\uc758 \ucd5c\ub2e8 \uac70\ub9ac\ub294 $4$\uc774\uba70, \uc544\ub798\uc640 \uac19\uc774 \ucd1d \uc5ec\uc12f \uac1c\uc758 \ucd5c\ub2e8 \uacbd\ub85c\uac00 \uc874\uc7ac\ud55c\ub2e4. \ub9cc\uc57d $K = 3$\uc774\ub77c\uba74 \uc815\ub2f5\uc740 $3$\ubc88\uc9f8 \ucd5c\ub2e8 \uacbd\ub85c\uc778 $37 - 36 - 46 - 56 - 55$\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>$37 - 36 - 35 - 45 - 55$<\/li>\r\n\t<li>$37 - 36 - 46 - 45 - 55$ \uc704\uc758 \uacbd\ub85c\uc640 \ube44\uad50\ud558\uba74 $3$\ubc88\uc9f8 \ub178\ub4dc\uc778 $35$\uac00 $46$\ubcf4\ub2e4 \uc0ac\uc804 \uc21c\uc73c\ub85c \uc55e\uc120\ub2e4.<\/li>\r\n\t<li>$37 - 36 - 46 - 56 - 55$ \uc704\uc758 \uacbd\ub85c\uc640 \ube44\uad50\ud558\uba74 $4$\ubc88\uc9f8 \ub178\ub4dc\uc778 $45$\uac00 $56$\ubcf4\ub2e4 \uc0ac\uc804 \uc21c\uc73c\ub85c \uc55e\uc120\ub2e4.<\/li>\r\n\t<li>$37 - 47 - 46 - 45 - 55$ \uc704\uc758 \uacbd\ub85c\uc640 \ube44\uad50\ud558\uba74 $2$\ubc88\uc9f8 \ub178\ub4dc\uc778 $36$\uc774 $47$\ubcf4\ub2e4 \uc0ac\uc804 \uc21c\uc73c\ub85c \uc55e\uc120\ub2e4.<\/li>\r\n\t<li>$37 - 47 - 46 - 56 - 55$ \uc704\uc758 \uacbd\ub85c\uc640 \ube44\uad50\ud558\uba74 $4$\ubc88\uc9f8 \ub178\ub4dc\uc778 $45$\uac00 $56$\ubcf4\ub2e4 \uc0ac\uc804 \uc21c\uc73c\ub85c \uc55e\uc120\ub2e4.<\/li>\r\n\t<li>$37 - 47 - 57 - 56 - 55$ \uc704\uc758 \uacbd\ub85c\uc640 \ube44\uad50\ud558\uba74 $3$\ubc88\uc9f8 \ub178\ub4dc\uc778 $46$\uc774 $57$\ubcf4\ub2e4 \uc0ac\uc804\uc21c\uc73c\ub85c \uc55e\uc120\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\uc785\ub825\uc73c\ub85c $L$, $K$, $x$, $y$\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c Bob\uc744 \ub3c4\uc640 $x$\uc640 $y$\uc0ac\uc774\uc758 \ucd5c\ub2e8 \uacbd\ub85c \uc911 \uc0ac\uc804 \uc21c\uc73c\ub85c $K$\ubc88\uc9f8 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uad6c\ud574\ubcf4\uc790. \ub9cc\uc57d $x$\uc640 $y$\uc0ac\uc774\uc758 \ucd5c\ub2e8 \uacbd\ub85c\uc758 \uac1c\uc218\uac00 $K$\ubcf4\ub2e4 \uc791\ub2e4\uba74 &quot;NO&quot;\ub97c \ucd9c\ub825\ud558\ub3c4\ub85d \ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 $T$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc785\ub825\uc740 \ud55c \uc904\uc5d0 $L$, $K$, $x$, $y$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc815\ub2f5\uc744 \uac01 \uc904\uc5d0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>$K$\ubc88\uc9f8 \ucd5c\ub2e8 \uacbd\ub85c\uac00 \uc874\uc7ac\ud558\ub294 \uacbd\uc6b0 \ud574\ub2f9 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ucd9c\ub825\ud558\uace0, \uadf8\ub807\uc9c0 \uc54a\uc740 \uacbd\uc6b0 &quot;NO&quot;\ub97c \ucd9c\ub825\ud55c\ub2e4 (\ub530\uc634\ud45c \uc81c\uc678).<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$1 &le; T &le; 15$<\/li>\r\n\t<li>$2 &le; L &le; 4$<\/li>\r\n\t<li>$1 &le; K &le; 10^{18}$<\/li>\r\n\t<li>$0 &le; x, y &lt; 10^L$<\/li>\r\n\t<li>$x$, $y$\ub294 \uc5b8\uc81c\ub098 \uc120\ud589 $0$\uc744 \ud3ec\ud568\ud558\uc5ec \uae38\uc774\uac00 $L$\uc778 \ud615\ud0dc\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<ul>\r\n\t<li>\uc608\uc81c 1-2: $20$\uacfc $22$\uc0ac\uc774\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub294 $20 - 21 - 22$ \ud558\ub098 \ubfd0\uc774\ub2e4.<\/li>\r\n\t<li>\uc608\uc81c 3-4: $008$\uacfc $258$\uc0ac\uc774\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub294 \ucd1d $21$\uac1c \uc874\uc7ac\ud55c\ub2e4.<\/li>\r\n\t<li>\uc608\uc81c 5-6: $2022$\uc640 $3141$\uc0ac\uc774\uc758 \ucd5c\ub2e8 \uacbd\ub85c\ub294 \ucd1d $60$\uac1c \uc874\uc7ac\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n"},{"problem_id":"24436","problem_lang":"1","title":"K-th Shortest Path","description":"<p>Alice and Bob enjoy finding the shortest path in a graph.<\/p>\r\n\r\n<p>Bob, Alice&#39;s little brother, is little and often makes mistakes -- so, Alice is helping Bob practice with the following problem.<\/p>\r\n\r\n<p>First, they choose an integer $L$ (for &quot;length&quot;), and create a graph using $10^L$&nbsp;positive integers from $0$ to $10^L-1$ as follows:<\/p>\r\n\r\n<ul>\r\n\t<li>Nodes: Each integer between $0$ and $10^L-1$ represents a node in the graph. In this graph, each node&#39;s label must have length $L$ (by using leading zeros if necessary) -- hence, you may think of the label as a string of length $L$. For instance, if $L = 2$, the graph would contain $100$ nodes with labels $00, 01, 02, \\dots, 98$, and $99$.<\/li>\r\n\t<li>Edges: For any two nodes $x$ and $y$, if their labels differ in only one position (out of $L$ positions) and the difference must be exactly $1$. For instance, when $L = 2$, there exists an edge between $00$ and $01$, between $01$ and $11$, between $27$ and $37$, and between $36$ and $46$; yet there is no edge between $00$ and $02$, between $01$ and $10$, between $36$ and $47$, or between $46$ and $57$.<\/li>\r\n<\/ul>\r\n\r\n<p>The image below illustrates a part of the graph when $L = 2$.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/5eaba66a-f88e-4ce2-96c1-74530ffcb0b1\/-\/preview\/\" style=\"height: 282px; width: 500px;\" \/><\/p>\r\n\r\n<p>After creating a graph, Alice would ask Bob to find the $K$-th shortest path (in lexicographic order) from $x$ to $y$. For instance, suppose $L = 2$, $x = 37$, and $y = 55$. In this case, the shortest paths between $x$ and $y$ have length $4$, and there exist $6$ shortest paths. If $K = 3$, then the answer would be the third shortest path,&nbsp;$37 - 36 - 46 - 56 - 55$.<\/p>\r\n\r\n<ol>\r\n\t<li>$37 - 36 - 35 - 45 - 55$<\/li>\r\n\t<li>$37 - 36 - 46 - 45 - 55$&nbsp;Because $35$ comes before $46$ lexicographically, the path above comes before this path, lexicographically.<\/li>\r\n\t<li>$37 - 36 - 46 - 56 - 55$&nbsp;Because $45$ comes before $56$ lexicographically, the path above comes before this path, lexicographically.<\/li>\r\n\t<li>$37 - 47 - 46 - 45 - 55$&nbsp;Because $36$ comes before $47$ lexicographically, the path above comes before this path, lexicographically.<\/li>\r\n\t<li>$37 - 47 - 46 - 56 - 55$&nbsp;Because $45$ comes before $56$ lexicographically, the path above comes before this path, lexicographically.<\/li>\r\n\t<li>$37 - 47 - 57 - 56 - 55$&nbsp;Because $46$ comes before $57$ lexicographically, the path above comes before this path, lexicographically.<\/li>\r\n<\/ol>\r\n\r\n<p>Given $L$, $K$, $x$, and $y$, help Bob find the $K$-th shortest path from $x$ to $y$. If there exist fewer than $K$ shortest paths from $x$ to $y$, then output&nbsp;&quot;NO&quot; instead.<\/p>\r\n","input":"<p>The first line of the input will contain $T$, the number of test cases.<\/p>\r\n\r\n<p>Each test case will be given by a single that will contain $L$, $K$, $x$, and $y$, separated by whitespace.<\/p>\r\n","output":"<p>Output the answer in each line.<\/p>\r\n\r\n<p>If the $K$-th shortest path exists, then output the path. Otherwise, output &quot;NO&quot; (without quotes).<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$1 &le; T &le; 15$<\/li>\r\n\t<li>$2 &le; L &le; 4$<\/li>\r\n\t<li>$1 &le; K &le; 10^{18}$<\/li>\r\n\t<li>$0 &le; x, y &lt; 10^L$<\/li>\r\n\t<li>In all test cases, $x$ and $y$ will be given as strings of length $L$ by containing leading zeros if needed.<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<ul>\r\n\t<li>Cases 1-2: From $20$ to $22$, there exists a unique shortest path: $20 - 21 - 22$.<\/li>\r\n\t<li>Cases 3-4: There exist $21$ shortest paths from $008$ to $258$.<\/li>\r\n\t<li>Cases 5-6: There exist $60$ shortest paths from $2022$ to $3141$.<\/li>\r\n<\/ul>\r\n"}]