문제
$K$명의 KSA 학생들은 벌점 누적에 대한 벌칙으로 마라톤을 하러 왔다. 마라톤 경기장은 $N$개의 체크포인트와 서로 다른 두 체크포인트를 양방향으로 연결하는 $M$개의 길로 이루어져 있다. $i$번 길은 $A_i$번 체크포인트와 $B_i$번 체크포인트를 연결하고, 이 길을 지나는 데 $C_i$의 시간이 걸린다. 임의의 체크포인트에서 다른 체크포인트로 가는 경로는 항상 존재한다.
학생들은 1ドル$번 체크포인트를 출발해서 $N$번 체크포인트에서 마라톤을 끝내야 한다. $j$번 학생은 초기에 벌점이 $j$점이고 체크포인트를 한 번 지날 때마다 벌점을 1ドル$점 감점받는다. 이때, 처음 출발하는 1ドル$번 체크포인트와 $N$번 체크포인트에서도 벌점이 감점되며, 같은 체크포인트를 여러 번 지나도 된다. 단, 길 중간에서 되돌아올 수는 없다.
학생들은 벌점이 0ドル$점이 된 이후에 체크포인트를 지나서는 안 되며, 마라톤이 끝났을 때 벌점이 정확히 0ドル$점이어야 한다. 빨리 쉬고 싶은 학생들을 위해 각 학생이 마라톤을 끝내기 위한 최소 시간을 구해보자.
출력
$i$번 학생이 마라톤을 끝내기 위한 최소 시간을 $D_i$라고 할 때, $D_1 + D_2 + \cdots + D_K$를 998244353ドル$으로 나눈 나머지를 출력한다.
단, $i$번 학생이 마라톤을 끝낼 방법이 없는 경우에는 $D_i=0$이다.
제한
- 2ドル \leq N \leq 1500$
- $N-1 \leq M \leq 3000$
- 1ドル \leq K \leq 10^9$
- 1ドル \leq A_i < B_i \leq N$ (1ドル \leq i \leq M$)
- 1ドル \leq C_i \leq 10^9$ (1ドル \leq i \leq M$)
- $(A_i, B_i) \neq (A_j, B_j)$ $(1 \leq i < j \leq M)$
- 1ドル \leq i < j \leq N$인 모든 $i,ドル $j$에 대해서 $i$번 체크포인트와 $j$번 체크포인트를 연결하는 경로가 존재
서브태스크
| 번호 | 배점 | 제한 | | 1 | 7 | $K \leq 1500$
|
| 2 | 41 | $K \leq 3 \times 10^6$
|
| 3 | 24 | $M = N-1$
|
| 4 | 28 | 추가 제약 조건 없음
|
1ドル,ドル 3ドル,ドル 5ドル,ドル 7ドル$번 학생은 마라톤을 끝내는 것이 불가능하다.
2ドル$번 학생은 마라톤을 끝내는데 10ドル$의 시간이 걸린다. 이때 경로는 1ドル$ → 2ドル$이다.
4ドル$번 학생은 마라톤을 끝내는데 30ドル$의 시간이 걸린다. 이때 경로는 1ドル$ → 2ドル$ → 1ドル$ → 2ドル$이다.
6ドル$번 학생은 마라톤을 끝내는데 50ドル$의 시간이 걸린다. 이때 경로는 1ドル$ → 2ドル$ → 1ドル$ → 2ドル$ → 1ドル$ → 2ドル$이다.
1ドル,ドル 2ドル$번 학생은 마라톤을 끝내는 것이 불가능하다.
3ドル$번 학생은 마라톤을 끝내는데 5ドル$의 시간이 걸린다. 이때 경로는 1ドル$ → 4ドル$ → 5ドル$이다.
4ドル$번 학생은 마라톤을 끝내는데 8ドル$의 시간이 걸린다. 이때 경로는 1ドル$ → 2ドル$ → 3ドル$ → 5ドル$이다.
5ドル$번 학생은 마라톤을 끝내는데 7ドル$의 시간이 걸린다. 이때 경로는 1ドル$ → 2ドル$ → 1ドル$ → 4ドル$ → 5ドル$이다.
[{"problem_id":"29205","problem_lang":"0","title":"\ub9c8\ub77c\ud1a4","description":"<p>$K$\uba85\uc758 KSA \ud559\uc0dd\ub4e4\uc740 \ubc8c\uc810 \ub204\uc801\uc5d0 \ub300\ud55c \ubc8c\uce59\uc73c\ub85c \ub9c8\ub77c\ud1a4\uc744 \ud558\ub7ec \uc654\ub2e4. \ub9c8\ub77c\ud1a4 \uacbd\uae30\uc7a5\uc740 $N$\uac1c\uc758 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc640 \uc11c\ub85c \ub2e4\ub978 \ub450 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub97c \uc591\ubc29\ud5a5\uc73c\ub85c \uc5f0\uacb0\ud558\ub294 $M$\uac1c\uc758 \uae38\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. $i$\ubc88 \uae38\uc740 $A_i$\ubc88 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc640 $B_i$\ubc88 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub97c \uc5f0\uacb0\ud558\uace0, \uc774 \uae38\uc744 \uc9c0\ub098\ub294 \ub370 $C_i$\uc758 \uc2dc\uac04\uc774 \uac78\ub9b0\ub2e4. \uc784\uc758\uc758 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc5d0\uc11c \ub2e4\ub978 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub85c \uac00\ub294 \uacbd\ub85c\ub294 \ud56d\uc0c1 \uc874\uc7ac\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud559\uc0dd\ub4e4\uc740 $1$\ubc88 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub97c \ucd9c\ubc1c\ud574\uc11c $N$\ubc88 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc5d0\uc11c \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\uc57c \ud55c\ub2e4. $j$\ubc88 \ud559\uc0dd\uc740 \ucd08\uae30\uc5d0 \ubc8c\uc810\uc774 $j$\uc810\uc774\uace0 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub97c \ud55c \ubc88 \uc9c0\ub0a0 \ub54c\ub9c8\ub2e4 \ubc8c\uc810\uc744 $1$\uc810 \uac10\uc810\ubc1b\ub294\ub2e4. \uc774\ub54c, \ucc98\uc74c \ucd9c\ubc1c\ud558\ub294 $1$\ubc88 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc640 $N$\ubc88 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc5d0\uc11c\ub3c4 \ubc8c\uc810\uc774 \uac10\uc810\ub418\uba70, \uac19\uc740 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub97c \uc5ec\ub7ec \ubc88 \uc9c0\ub098\ub3c4 \ub41c\ub2e4. \ub2e8, \uae38 \uc911\uac04\uc5d0\uc11c \ub418\ub3cc\uc544\uc62c \uc218\ub294 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ud559\uc0dd\ub4e4\uc740 \ubc8c\uc810\uc774 $0$\uc810\uc774 \ub41c \uc774\ud6c4\uc5d0 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub97c \uc9c0\ub098\uc11c\ub294 \uc548 \ub418\uba70, \ub9c8\ub77c\ud1a4\uc774 \ub05d\ub0ac\uc744 \ub54c \ubc8c\uc810\uc774 \uc815\ud655\ud788 $0$\uc810\uc774\uc5b4\uc57c \ud55c\ub2e4. \ube68\ub9ac \uc26c\uace0 \uc2f6\uc740 \ud559\uc0dd\ub4e4\uc744 \uc704\ud574 \uac01 \ud559\uc0dd\uc774 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\uae30 \uc704\ud55c \ucd5c\uc18c \uc2dc\uac04\uc744 \uad6c\ud574\ubcf4\uc790.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uc138 \uc815\uc218 $N$, $M$, $K$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>$i+1$\ubc88\uc9f8 \uc904\uc5d0 \uc138 \uc815\uc218 $A_i$, $B_i$, $C_i$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $(1 \\leq i \\leq M)$<\/p>\r\n","output":"<p>$i$\ubc88 \ud559\uc0dd\uc774 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\uae30 \uc704\ud55c \ucd5c\uc18c \uc2dc\uac04\uc744 $D_i$\ub77c\uace0 \ud560 \ub54c, $D_1 + D_2 + \\cdots + D_K$\ub97c $998244353$\uc73c\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e8, $i$\ubc88 \ud559\uc0dd\uc774 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0bc \ubc29\ubc95\uc774 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 $D_i=0$\uc774\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$2 \\leq N \\leq 1500$<\/li>\r\n\t<li>$N-1 \\leq M \\leq 3000$<\/li>\r\n\t<li>$1 \\leq K \\leq 10^9$<\/li>\r\n\t<li>$1 \\leq A_i &lt; B_i \\leq N$ ($1 \\leq i \\leq M$)<\/li>\r\n\t<li>$1 \\leq C_i \\leq 10^9$ ($1 \\leq i \\leq M$)<\/li>\r\n\t<li>$(A_i, B_i) \\neq (A_j, B_j)$ $(1 \\leq i &lt; j \\leq M)$<\/li>\r\n\t<li>$1 \\leq i &lt; j \\leq N$\uc778 \ubaa8\ub4e0 $i$, $j$\uc5d0 \ub300\ud574\uc11c $i$\ubc88 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc640 $j$\ubc88 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub97c \uc5f0\uacb0\ud558\ub294 \uacbd\ub85c\uac00 \uc874\uc7ac<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$K \\leq 1500$<\/p>\r\n","subtask2":"<p>$K \\leq 3 \\times 10^6$<\/p>\r\n","subtask3":"<p>$M = N-1$<\/p>\r\n","subtask4":"<p>\ucd94\uac00 \uc81c\uc57d \uc870\uac74 \uc5c6\uc74c<\/p>\r\n","sample_explain_1":"<p>$1$, $3$, $5$, $7$\ubc88 \ud559\uc0dd\uc740 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\ub294 \uac83\uc774 \ubd88\uac00\ub2a5\ud558\ub2e4.<\/p>\r\n\r\n<p>$2$\ubc88 \ud559\uc0dd\uc740 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\ub294\ub370 $10$\uc758 \uc2dc\uac04\uc774 \uac78\ub9b0\ub2e4. \uc774\ub54c \uacbd\ub85c\ub294 $1$ &rarr; $2$\uc774\ub2e4.<\/p>\r\n\r\n<p>$4$\ubc88 \ud559\uc0dd\uc740 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\ub294\ub370 $30$\uc758 \uc2dc\uac04\uc774 \uac78\ub9b0\ub2e4. \uc774\ub54c \uacbd\ub85c\ub294 $1$ &rarr; $2$ &rarr; $1$ &rarr; $2$\uc774\ub2e4.<\/p>\r\n\r\n<p>$6$\ubc88 \ud559\uc0dd\uc740 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\ub294\ub370 $50$\uc758 \uc2dc\uac04\uc774 \uac78\ub9b0\ub2e4. \uc774\ub54c \uacbd\ub85c\ub294 $1$ &rarr; $2$ &rarr; $1$ &rarr; $2$ &rarr; $1$ &rarr; $2$\uc774\ub2e4.<\/p>\r\n","sample_explain_2":"<p>$1$, $2$\ubc88 \ud559\uc0dd\uc740 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\ub294 \uac83\uc774 \ubd88\uac00\ub2a5\ud558\ub2e4.<\/p>\r\n\r\n<p>$3$\ubc88 \ud559\uc0dd\uc740 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\ub294\ub370 $5$\uc758 \uc2dc\uac04\uc774 \uac78\ub9b0\ub2e4. \uc774\ub54c \uacbd\ub85c\ub294 $1$ &rarr;&nbsp;$4$ &rarr; $5$\uc774\ub2e4.<\/p>\r\n\r\n<p>$4$\ubc88 \ud559\uc0dd\uc740 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\ub294\ub370 $8$\uc758 \uc2dc\uac04\uc774 \uac78\ub9b0\ub2e4. \uc774\ub54c \uacbd\ub85c\ub294 $1$ &rarr;&nbsp;$2$ &rarr;&nbsp;$3$ &rarr;&nbsp;$5$\uc774\ub2e4.<\/p>\r\n\r\n<p>$5$\ubc88 \ud559\uc0dd\uc740 \ub9c8\ub77c\ud1a4\uc744 \ub05d\ub0b4\ub294\ub370 $7$\uc758 \uc2dc\uac04\uc774 \uac78\ub9b0\ub2e4. \uc774\ub54c \uacbd\ub85c\ub294 $1$ &rarr;&nbsp;$2$ &rarr;&nbsp;$1$ &rarr;&nbsp;$4$ &rarr; $5$\uc774\ub2e4.<\/p>\r\n"},{"problem_id":"29205","problem_lang":"1","title":"Marathon","description":"<p>$K$ students from KSA have come to participate in a marathon as a punishment for accumulating demerit points. The marathon course consists of $N$ checkpoints and $M$ roads that connect two different checkpoints in both directions. Road $i$ connects checkpoint $A_i$ and checkpoint $B_i$, and it takes $C_i$ time to pass through this road. There always exists a path from any checkpoint to another checkpoint.<\/p>\r\n\r\n<p>The students must start from checkpoint $1$ and finish the marathon at checkpoint $N$. Initially, student $j$ has&nbsp;$j$ demerit points, and they receive a deduction of $1$ point every time they pass&nbsp;a checkpoint. In addition, demerit points are deducted at the starting checkpoint $1$ and the finishing checkpoint $N$, and they are allowed to pass through the same checkpoint multiple times. However, they cannot turn back in the middle of a road.<\/p>\r\n\r\n<p>The students must not pass any checkpoints after their demerit&nbsp;points reach&nbsp;$0$, and they must have exactly $0$ demerit points when they finish the marathon. Let&#39;s find the minimum time required for each student to finish the marathon, for the students who want to rest as soon as possible.<\/p>\r\n","input":"<p>The first line contains three space-separated integers $N$, $M$, and $K$.<\/p>\r\n\r\n<p>The $(i+1)$-th line contains three space-separated integers $A_i$, $B_i$, and $C_i$. $(1 \\leq i \\leq M)$<\/p>\r\n","output":"<p>When $D_i$ is the minimum time for the&nbsp;student $i$ to finish the marathon, print $D_1 + D_2 + \\cdots + D_K$ modulo $998244353$.<\/p>\r\n\r\n<p>If the&nbsp;student $i$ cannot finish the marathon, $D_i=0$.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$2 \\leq N \\leq 1500$<\/li>\r\n\t<li>$N-1 \\leq M \\leq 3000$<\/li>\r\n\t<li>$1 \\leq K \\leq 10^9$<\/li>\r\n\t<li>$1 \\leq A_i &lt; B_i \\leq N$ ($1 \\leq i \\leq M$)<\/li>\r\n\t<li>$1 \\leq C_i \\leq 10^9$ ($1 \\leq i \\leq M$)<\/li>\r\n\t<li>$(A_i, B_i) \\neq (A_j, B_j)$ $(1 \\leq i &lt; j \\leq M)$<\/li>\r\n\t<li>For all $i$, $j$ satisfying $1 \\leq i &lt;&nbsp;j \\leq N$, a path connecting checkpoint $i$ and checkpoint&nbsp;$j$&nbsp;exists<\/li>\r\n<\/ul>\r\n","subtask1":"<p>$K \\leq 1500$<\/p>\r\n","subtask2":"<p>$K \\leq 3 \\times 10^6$<\/p>\r\n","subtask3":"<p>$M = N-1$<\/p>\r\n","subtask4":"<p>No additional constraints<\/p>\r\n","sample_explain_1":"<p>Students $1$,&nbsp;$3$, $5$, and $7$ cannot finish the marathon.<\/p>\r\n\r\n<p>Student $2$ takes $10$ time to finish the marathon. The path is $1$ &rarr; $2$.<\/p>\r\n\r\n<p>Student $4$ takes $30$ time to finish the marathon. The path is $1$ &rarr; $2$ &rarr; $1$ &rarr; $2$.<\/p>\r\n\r\n<p>Student $6$ takes $50$ time to finish the marathon. The path is $1$ &rarr; $2$ &rarr; $1$ &rarr; $2$ &rarr; $1$ &rarr; $2$.<\/p>\r\n","sample_explain_2":"<p>Student $1$ and $2$ cannot finish the marathon.<\/p>\r\n\r\n<p>Student $3$ takes $5$ time to finish the marathon. The path is $1$ &rarr; $4$ &rarr; $5$.<\/p>\r\n\r\n<p>Student $4$ takes $8$ time to finish the marathon. The path is $1$ &rarr; $2$ &rarr; $3$ &rarr; $5$.<\/p>\r\n\r\n<p>Student $5$ takes $7$ time to finish the marathon. The path is $1$ &rarr; $2$ &rarr; $1$ &rarr; $4$ &rarr; $5$.<\/p>\r\n"}]