시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 9 5 5 100.000%

문제

세상에서 제일 바쁜 동혁이는 팬케익을 좋아한다. 오늘은 집에서 팬케익을 만들어 먹기로 결심했다. 주방을 뒤져 열심히 팬케익을 만들 재료 4가지 밀가루, 우유, 계란, 잼을 찾았지만, 집에는 재료가 하나도 없었다. 그는 주변의 상점을 돌아다니면서 재료를 사오려고 한다.

동혁이네 동네에는 교차로가 N개 있고, 1번부터 N번까지 번호가 매겨져 있다. 그리고 도로는 총 R개가 있고, 교차로와 교차로를 잇는다.

동혁이는 지금 1번 교차로에 있다. 각 도로에는 상점이 항상 1개가 있고, 상점에서는 4개 재료 중 일부만 팔 수도 있고, 모두 팔 수도 있다. 상점을 방문하지 않고 도로를 지나는데 걸리는 시간은 1분이고, 상점을 방문해 재료를 구매하고 지나면 2분이 걸린다.

동혁이는 모든 재료를 구한 뒤, 1번 교차로로 다시 돌아오려고 한다. 그는 재료를 모두 구했다고 하더라도 상점간의 가격 비교를 위해서 상점을 방문할 수 있다.

아래와 같이 교차로 5개, 도로 7개인 경우를 살펴보자. (밀가루: B, 계란: J, 우유: M, 잼: P)

위와 같은 경우라면, 7분안에 모든 재료를 구하는 서로 다른 방법은 아래와 같이 5가지가 있다.

1분 2분 3분 4분 5분 6분 7분
1→3 3->상점->4 4→상점→1    
1→상점→2 2→상점→4 4→상점→1  
1→상점→3 3→상점→4 4→상점→1  
1→상점→3 3→상점→4 4→5 4→상점→1
1→3 3→상점→4 4→상점→5 5→상점→1

동혁이가 1번 교차로에서 출발서 모든 재료를 구한 뒤 다시 1번 교차로로 K분안에 돌아오는 서로 다른 방법의 수를 구하는 프로그램을 작성하시오.

이 숫자는 매우 커질 수 있으므로 5557로 나눈 나머지를 출력한다.

입력

첫째 줄에 N과 R이 주어진다. (1<=N<=25, 1<=R<=500)

둘째 줄부터 R개의 줄에는 도로의 정보가 주어진다. 도로의 정보는 서로 다른 정수 u, v와 문자열 s가 공백으로 구분되어 있다. u와 v를 잇는 도로가 있고, 여기에 있는 상점에서 파는 재료는 s라는 의미이며, s는 1글자~4글자 알파벳 대문자이며, 밀가루는 B, 달걀은 J, 우유는 M, 잼은 P이다. 두 교차로 사이에는 도로가 최대 2개까지 있을 수 있으며, 2개인 경우에는 방향이 서로 달라야 한다. (u->v와 v->u)

마지막 줄에는 동혁이가 모든 재료를 구하고 다시 돌아 와야 하는 시간 제한 K(1<=K<=1,000,000,000)가 주어진다.

출력

첫째 줄에 동혁이가 K분 안에 모든 재료를 구하고 다시 1번 교차로로 돌아오는 서로 다른 방법의 수를 5557로 나눈 나머지를 출력한다.

예제 입력 1

3 3
1 2 BMJ
2 3 MJP
3 1 JPB
5

예제 출력 1

3
[{"problem_id":"2907","problem_lang":"0","title":"\uc7ac\ub8cc \uc0ac\ub7ec \uac00\ub294 \uae38","description":"<p>\uc138\uc0c1\uc5d0\uc11c \uc81c\uc77c \ubc14\uc05c \ub3d9\ud601\uc774\ub294 \ud32c\ucf00\uc775\uc744 \uc88b\uc544\ud55c\ub2e4. \uc624\ub298\uc740 \uc9d1\uc5d0\uc11c \ud32c\ucf00\uc775\uc744 \ub9cc\ub4e4\uc5b4 \uba39\uae30\ub85c \uacb0\uc2ec\ud588\ub2e4. \uc8fc\ubc29\uc744 \ub4a4\uc838 \uc5f4\uc2ec\ud788 \ud32c\ucf00\uc775\uc744 \ub9cc\ub4e4 \uc7ac\ub8cc 4\uac00\uc9c0 \ubc00\uac00\ub8e8, \uc6b0\uc720, \uacc4\ub780, \uc7bc\uc744 \ucc3e\uc558\uc9c0\ub9cc, \uc9d1\uc5d0\ub294 \uc7ac\ub8cc\uac00 \ud558\ub098\ub3c4 \uc5c6\uc5c8\ub2e4. \uadf8\ub294 \uc8fc\ubcc0\uc758 \uc0c1\uc810\uc744 \ub3cc\uc544\ub2e4\ub2c8\uba74\uc11c \uc7ac\ub8cc\ub97c \uc0ac\uc624\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\ud601\uc774\ub124 \ub3d9\ub124\uc5d0\ub294 \uad50\ucc28\ub85c\uac00 N\uac1c \uc788\uace0, 1\ubc88\ubd80\ud130 N\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \uadf8\ub9ac\uace0 \ub3c4\ub85c\ub294 \ucd1d R\uac1c\uac00 \uc788\uace0, \uad50\ucc28\ub85c\uc640 \uad50\ucc28\ub85c\ub97c \uc787\ub294\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\ud601\uc774\ub294 \uc9c0\uae08 1\ubc88 \uad50\ucc28\ub85c\uc5d0 \uc788\ub2e4. \uac01 \ub3c4\ub85c\uc5d0\ub294 \uc0c1\uc810\uc774 \ud56d\uc0c1 1\uac1c\uac00 \uc788\uace0, \uc0c1\uc810\uc5d0\uc11c\ub294 4\uac1c \uc7ac\ub8cc \uc911 \uc77c\ubd80\ub9cc \ud314 \uc218\ub3c4 \uc788\uace0, \ubaa8\ub450 \ud314 \uc218\ub3c4 \uc788\ub2e4. \uc0c1\uc810\uc744 \ubc29\ubb38\ud558\uc9c0 \uc54a\uace0 \ub3c4\ub85c\ub97c \uc9c0\ub098\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 1\ubd84\uc774\uace0, \uc0c1\uc810\uc744 \ubc29\ubb38\ud574 \uc7ac\ub8cc\ub97c \uad6c\ub9e4\ud558\uace0 \uc9c0\ub098\uba74 2\ubd84\uc774 \uac78\ub9b0\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\ud601\uc774\ub294 \ubaa8\ub4e0 \uc7ac\ub8cc\ub97c \uad6c\ud55c \ub4a4, 1\ubc88 \uad50\ucc28\ub85c\ub85c \ub2e4\uc2dc \ub3cc\uc544\uc624\ub824\uace0 \ud55c\ub2e4. \uadf8\ub294 \uc7ac\ub8cc\ub97c \ubaa8\ub450 \uad6c\ud588\ub2e4\uace0 \ud558\ub354\ub77c\ub3c4 \uc0c1\uc810\uac04\uc758 \uac00\uaca9 \ube44\uad50\ub97c \uc704\ud574\uc11c \uc0c1\uc810\uc744 \ubc29\ubb38\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc544\ub798\uc640 \uac19\uc774 \uad50\ucc28\ub85c 5\uac1c, \ub3c4\ub85c 7\uac1c\uc778 \uacbd\uc6b0\ub97c \uc0b4\ud3b4\ubcf4\uc790. (\ubc00\uac00\ub8e8: B, \uacc4\ub780: J, \uc6b0\uc720: M, \uc7bc: P)<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/Screen%20Shot%202012-11-27%20at%20%EC%98%A4%EC%A0%84%2011_44_54.png\" style=\"height:207px; width:236px\" \/><\/p>\r\n\r\n<p>\uc704\uc640 \uac19\uc740 \uacbd\uc6b0\ub77c\uba74, 7\ubd84\uc548\uc5d0 \ubaa8\ub4e0 \uc7ac\ub8cc\ub97c \uad6c\ud558\ub294 \uc11c\ub85c \ub2e4\ub978 \ubc29\ubc95\uc740 \uc544\ub798\uc640 \uac19\uc774 5\uac00\uc9c0\uac00 \uc788\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:100%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<td style=\"width:14%\">1\ubd84<\/td>\r\n\t\t\t<td style=\"width:14%\">2\ubd84<\/td>\r\n\t\t\t<td style=\"width:14%\">3\ubd84<\/td>\r\n\t\t\t<td style=\"width:14%\">4\ubd84<\/td>\r\n\t\t\t<td style=\"width:14%\">5\ubd84<\/td>\r\n\t\t\t<td style=\"width:15%\">6\ubd84<\/td>\r\n\t\t\t<td style=\"width:15%\">7\ubd84<\/td>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1&rarr;3<\/td>\r\n\t\t\t<td colspan=\"2\">3-&gt;\uc0c1\uc810-&gt;4<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;\uc0c1\uc810&rarr;1<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td colspan=\"2\">1&rarr;\uc0c1\uc810&rarr;2<\/td>\r\n\t\t\t<td colspan=\"2\">2&rarr;\uc0c1\uc810&rarr;4<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;\uc0c1\uc810&rarr;1<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td colspan=\"2\">1&rarr;\uc0c1\uc810&rarr;3<\/td>\r\n\t\t\t<td colspan=\"2\">3&rarr;\uc0c1\uc810&rarr;4<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;\uc0c1\uc810&rarr;1<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td colspan=\"2\">1&rarr;\uc0c1\uc810&rarr;3<\/td>\r\n\t\t\t<td colspan=\"2\">3&rarr;\uc0c1\uc810&rarr;4<\/td>\r\n\t\t\t<td>4&rarr;5<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;\uc0c1\uc810&rarr;1<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1&rarr;3<\/td>\r\n\t\t\t<td colspan=\"2\">3&rarr;\uc0c1\uc810&rarr;4<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;\uc0c1\uc810&rarr;5<\/td>\r\n\t\t\t<td colspan=\"2\">5&rarr;\uc0c1\uc810&rarr;1<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\ub3d9\ud601\uc774\uac00 1\ubc88 \uad50\ucc28\ub85c\uc5d0\uc11c \ucd9c\ubc1c\uc11c \ubaa8\ub4e0 \uc7ac\ub8cc\ub97c \uad6c\ud55c \ub4a4 \ub2e4\uc2dc 1\ubc88 \uad50\ucc28\ub85c\ub85c K\ubd84\uc548\uc5d0 \ub3cc\uc544\uc624\ub294 \uc11c\ub85c \ub2e4\ub978 \ubc29\ubc95\uc758 \uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\uc774 \uc22b\uc790\ub294 \ub9e4\uc6b0 \ucee4\uc9c8 \uc218 \uc788\uc73c\ubbc0\ub85c 5557\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 N\uacfc R\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1&lt;=N&lt;=25, 1&lt;=R&lt;=500)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\ubd80\ud130 R\uac1c\uc758 \uc904\uc5d0\ub294 \ub3c4\ub85c\uc758 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub3c4\ub85c\uc758 \uc815\ubcf4\ub294 \uc11c\ub85c \ub2e4\ub978 \uc815\uc218 u, v\uc640 \ubb38\uc790\uc5f4 s\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc788\ub2e4. u\uc640 v\ub97c \uc787\ub294 \ub3c4\ub85c\uac00 \uc788\uace0, \uc5ec\uae30\uc5d0 \uc788\ub294 \uc0c1\uc810\uc5d0\uc11c \ud30c\ub294 \uc7ac\ub8cc\ub294 s\ub77c\ub294 \uc758\ubbf8\uc774\uba70, s\ub294 1\uae00\uc790~4\uae00\uc790 \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790\uc774\uba70, \ubc00\uac00\ub8e8\ub294 B, \ub2ec\uac40\uc740 J, \uc6b0\uc720\ub294 M, \uc7bc\uc740 P\uc774\ub2e4. \ub450 \uad50\ucc28\ub85c \uc0ac\uc774\uc5d0\ub294 \ub3c4\ub85c\uac00 \ucd5c\ub300 2\uac1c\uae4c\uc9c0 \uc788\uc744 \uc218 \uc788\uc73c\uba70, 2\uac1c\uc778 \uacbd\uc6b0\uc5d0\ub294 \ubc29\ud5a5\uc774 \uc11c\ub85c \ub2ec\ub77c\uc57c \ud55c\ub2e4. (u-&gt;v\uc640 v-&gt;u)<\/p>\r\n\r\n<p>\ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 \ub3d9\ud601\uc774\uac00 \ubaa8\ub4e0 \uc7ac\ub8cc\ub97c \uad6c\ud558\uace0 \ub2e4\uc2dc \ub3cc\uc544 \uc640\uc57c \ud558\ub294 \uc2dc\uac04 \uc81c\ud55c K(1&lt;=K&lt;=1,000,000,000)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub3d9\ud601\uc774\uac00 K\ubd84 \uc548\uc5d0 \ubaa8\ub4e0 \uc7ac\ub8cc\ub97c \uad6c\ud558\uace0 \ub2e4\uc2dc 1\ubc88 \uad50\ucc28\ub85c\ub85c \ub3cc\uc544\uc624\ub294 \uc11c\ub85c \ub2e4\ub978 \ubc29\ubc95\uc758 \uc218\ub97c 5557\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2907","problem_lang":"1","title":"PALACINKE","description":"<p>Ana has a couple of classmates coming over for cr&ecirc;pes (known as pala\u010dinke in Croatian). They are coming in T minutes, and Ana just found out that she has neither one of the four required ingredients (flour, milk, eggs and jam). She hops into her car and drives around her neighbourhood buying supplies.<\/p>\r\n\r\n<p>Her neighbourhood contains N crossroads numbered 1 to N, and M one way roads connecting them. Ana starts on crossroad 1. On each road there is exactly one shop, selling some, maybe all, ingredients.<\/p>\r\n\r\n<p>Ana needs 1 minute to drive down any given road if she does not stop in the shop, or 2 minutes if she does. She needs to obtain all ingredients and drive back to crossroad one in time. She likes to compare shop prices so she may enter a shop even if she already has all ingredients.<\/p>\r\n\r\n<p>Consider the following example with 5 crossroads and 7 roads.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/Screen%20Shot%202012-11-27%20at%20%EC%98%A4%EC%A0%84%2011_44_54.png\" style=\"height:207px; width:236px\" \/><\/p>\r\n\r\n<p>Ana can make the ingredient run in 5 different ways, as shown in the table below.<\/p>\r\n\r\n\r\n<table class=\"table table-bordered\" style=\"width:100%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<td style=\"width:14%\">1. minute<\/td>\r\n\t\t\t<td style=\"width:14%\">2. minute<\/td>\r\n\t\t\t<td style=\"width:14%\">3. minute<\/td>\r\n\t\t\t<td style=\"width:14%\">4. minute<\/td>\r\n\t\t\t<td style=\"width:14%\">5. minute<\/td>\r\n\t\t\t<td style=\"width:15%\">6. minute<\/td>\r\n\t\t\t<td style=\"width:15%\">7. minute<\/td>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1&rarr;3<\/td>\r\n\t\t\t<td colspan=\"2\">3-&gt;shop-&gt;4<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;shop&rarr;1<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td colspan=\"2\">1&rarr;shop&rarr;2<\/td>\r\n\t\t\t<td colspan=\"2\">2&rarr;shop&rarr;4<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;shop&rarr;1<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td colspan=\"2\">1&rarr;shop&rarr;3<\/td>\r\n\t\t\t<td colspan=\"2\">3&rarr;shop&rarr;4<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;shop&rarr;1<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td colspan=\"2\">1&rarr;shop&rarr;3<\/td>\r\n\t\t\t<td colspan=\"2\">3&rarr;shop&rarr;4<\/td>\r\n\t\t\t<td>4&rarr;5<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;shop&rarr;1<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1&rarr;3<\/td>\r\n\t\t\t<td colspan=\"2\">3&rarr;shop&rarr;4<\/td>\r\n\t\t\t<td colspan=\"2\">4&rarr;shop&rarr;5<\/td>\r\n\t\t\t<td colspan=\"2\">5&rarr;shop&rarr;1<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>Write a program that will calculate the number of different ways Ana can buy the ingredients and return home in T minutes or less. Since this number can be very large, output it modulo 5557.<\/p>","input":"<p>The first line contains two integers N and M (1 &le; N &le; 25, 1 &le; M &le; 500), number of crossroads and roads.<\/p>\r\n\r\n<p>Each of the next M lines contains two different integers u and v and a string s, separated by exactly one space. They describe a road connecting crossroads u and v, and the shop located on the road selling ingredients s.<\/p>\r\n\r\n<p>The string s will contain between 1 and 4 uppercase characters. Character &#39;B&#39; for flour, &#39;J&#39; for eggs, &#39;M&#39; for milk and &#39;P&#39; for jam.<\/p>\r\n\r\n<p>There are at most two direct roads between two crossroads, and only if they are in opposite directions.<\/p>\r\n\r\n<p>The last line contains one integer T (1 &le; T &le; 1 000 000 000), time until Anas friends arrive, in minutes.<\/p>\r\n","output":"<p>The first and only line of output should contain the number of different ways Ana can buy the ingredients, modulo 5557.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]