시간 제한메모리 제한제출정답맞힌 사람정답 비율
3 초 (추가 시간 없음) 1024 MB (추가 메모리 없음)300605624.561%

문제

울산에는 $1$번부터 $N$번까지 번호가 붙은 $N$개의 교차로가 있고, 교차로와 교차로를 잇는 $M$개의 도로가 있다. 각 도로는 일방통행이며, 도로를 따라 이동하는 데 걸리는 시간이 정해져 있다.

윤이는 매일 현대모비스의 자율주행 시스템을 탑재한 차를 타고 집에서 회사로 출근한다. 윤이의 집은 $S$번 교차로에, 회사는 $T$번 교차로에 있다. 현대모비스의 자율주행 시스템은 항상 집에서 회사까지 최단 시간이 걸리는 주행 경로를 이용한다.

윤이는 얼마 전 울산에 새로운 도로 두 개가 건설될 것이라는 계획을 들었다. 윤이는 앞으로 회사에 더 빠르게 출근할 수 있을 거라는 기대감에 부풀어 있다. 하지만 윤이는 새 도로가 어떤 교차로를 잇는지와, 새 도로를 따라 이동하는 데 걸리는 시간이 얼마인지에 대한 내용을 듣지는 못했다. 따라서 윤이는 $Q$개의 도로 건설 시나리오를 가정하고, 각 상황에서 윤이의 자율주행차가 어떤 경로를 따라 주행할지 계산해 보기로 했다.

윤이가 가정한 $Q$개의 도로 건설 시나리오 각각에 대해, 윤이가 현대모비스 자율주행 시스템을 이용하여 집에서 회사로 출근하는 데 걸리는 시간을 구하시오.

입력

첫 번째 줄에 교차로의 수 $N$, 기존 도로의 수 $M$, 집의 교차로 번호 $S$, 회사의 교차로 번호 $T$가 공백으로 구분되어 주어진다. ($2\leq N\leq 300$; $0\leq M\leq 3\ 000$; $1\leq S,T\leq N$; $S\neq T$)

이후 $M$개의 줄에 기존 도로에 대한 정보를 나타내는 정수 $u$, $v$, $w$가 공백으로 구분되어 주어진다. 시작 교차로가 $u$번, 도착 교차로가 $v$번이고 이동하는 데 $w$의 시간이 걸리는 일방통행 도로를 나타낸다. ($1\leq u,v\leq N$; $1\leq w\leq 10^6$)

그 다음 줄에 도로 건설 시나리오의 수 $Q$가 주어진다. ($1\leq Q\leq 100\ 000$)

이후 $Q$개의 줄에 새로 건설될 두 개의 도로에 대한 정보를 나타내는 정수 $a_1$, $b_1$, $c_1$, $a_2$, $b_2$, $c_2$가 공백으로 구분되어 주어진다. 시작 교차로가 $a_1$번, 도착 교차로가 $b_1$번이고 이동하는 데 $c_1$의 시간이 걸리는 일방통행 도로와, 시작 교차로가 $a_2$번, 도착 교차로가 $b_2$번이고 이동하는 데 $c_2$의 시간이 걸리는 일방통행 도로를 새롭게 건설하는 시나리오를 나타낸다. ($1\leq a_1,b_1,a_2,b_2\leq N$; $1\le c_1,c_2\le 10^6$)

같은 교차로 쌍을 잇는 도로가 여러 개 주어질 수 있으며, 시작 교차로와 도착 교차로가 동일한 도로가 주어질 수 있다.

출력

각 도로 건설 시나리오에 대해, 윤이가 집에서 회사로 출근하는 데 걸리는 시간을 $Q$개의 줄에 걸쳐 출력한다. 만약 어떤 시나리오에서 집에서 회사로 출근하는 것이 불가능하다면, 해당 줄에는 대신 $-1$을 출력한다.

예제 입력 1

5 4 1 5
1 2 3
2 3 3
1 3 5
3 5 2
4
1 4 2 4 5 3
1 4 5 4 5 4
2 5 3 3 5 1
3 1 1 5 3 1

예제 출력 1

5
7
6
7
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($2\\leq N\\leq 300$; $0\\leq M\\leq 3\\ 000$; $1\\leq S,T\\leq N$; $S\\neq T$)<\/p>\r\n\r\n<p>\uc774\ud6c4 $M$\uac1c\uc758 \uc904\uc5d0 \uae30\uc874 \ub3c4\ub85c\uc5d0 \ub300\ud55c \uc815\ubcf4\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218 $u$, $v$, $w$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uc2dc\uc791 \uad50\ucc28\ub85c\uac00 $u$\ubc88, \ub3c4\ucc29 \uad50\ucc28\ub85c\uac00 $v$\ubc88\uc774\uace0 \uc774\ub3d9\ud558\ub294 \ub370 $w$\uc758 \uc2dc\uac04\uc774 \uac78\ub9ac\ub294 \uc77c\ubc29\ud1b5\ud589 \ub3c4\ub85c\ub97c \ub098\ud0c0\ub0b8\ub2e4. ($1\\leq u,v\\leq N$; $1\\leq w\\leq 10^6$)<\/p>\r\n\r\n<p>\uadf8 \ub2e4\uc74c \uc904\uc5d0 \ub3c4\ub85c \uac74\uc124 \uc2dc\ub098\ub9ac\uc624\uc758 \uc218 $Q$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. ($1\\leq Q\\leq 100\\ 000$)<\/p>\r\n\r\n<p>\uc774\ud6c4 $Q$\uac1c\uc758 \uc904\uc5d0 \uc0c8\ub85c \uac74\uc124\ub420 \ub450 \uac1c\uc758 \ub3c4\ub85c\uc5d0 \ub300\ud55c \uc815\ubcf4\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218 $a_1$, $b_1$, $c_1$, $a_2$, $b_2$, $c_2$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uc2dc\uc791 \uad50\ucc28\ub85c\uac00 $a_1$\ubc88, \ub3c4\ucc29 \uad50\ucc28\ub85c\uac00 $b_1$\ubc88\uc774\uace0 \uc774\ub3d9\ud558\ub294 \ub370 $c_1$\uc758 \uc2dc\uac04\uc774 \uac78\ub9ac\ub294 \uc77c\ubc29\ud1b5\ud589 \ub3c4\ub85c\uc640, \uc2dc\uc791 \uad50\ucc28\ub85c\uac00 $a_2$\ubc88, \ub3c4\ucc29 \uad50\ucc28\ub85c\uac00 $b_2$\ubc88\uc774\uace0 \uc774\ub3d9\ud558\ub294 \ub370 $c_2$\uc758 \uc2dc\uac04\uc774 \uac78\ub9ac\ub294 \uc77c\ubc29\ud1b5\ud589 \ub3c4\ub85c\ub97c \uc0c8\ub86d\uac8c \uac74\uc124\ud558\ub294 \uc2dc\ub098\ub9ac\uc624\ub97c \ub098\ud0c0\ub0b8\ub2e4. ($1\\leq a_1,b_1,a_2,b_2\\leq N$; $1\\le c_1,c_2\\le 10^6$)<\/p>\r\n\r\n<p>\uac19\uc740 \uad50\ucc28\ub85c \uc30d\uc744 \uc787\ub294 \ub3c4\ub85c\uac00 \uc5ec\ub7ec \uac1c \uc8fc\uc5b4\uc9c8 \uc218 \uc788\uc73c\uba70, \uc2dc\uc791 \uad50\ucc28\ub85c\uc640 \ub3c4\ucc29 \uad50\ucc28\ub85c\uac00 \ub3d9\uc77c\ud55c \ub3c4\ub85c\uac00 \uc8fc\uc5b4\uc9c8 \uc218 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ub3c4\ub85c \uac74\uc124 \uc2dc\ub098\ub9ac\uc624\uc5d0 \ub300\ud574, \uc724\uc774\uac00 \uc9d1\uc5d0\uc11c \ud68c\uc0ac\ub85c \ucd9c\uadfc\ud558\ub294 \ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc744 $Q$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0 \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d \uc5b4\ub5a4 \uc2dc\ub098\ub9ac\uc624\uc5d0\uc11c \uc9d1\uc5d0\uc11c \ud68c\uc0ac\ub85c \ucd9c\uadfc\ud558\ub294 \uac83\uc774 \ubd88\uac00\ub2a5\ud558\ub2e4\uba74, \ud574\ub2f9 \uc904\uc5d0\ub294 \ub300\uc2e0 $-1$\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"26125","problem_lang":"1","title":"Two Roads","description":"<p>In Ulsan, there are $N$ intersections numbered from $1$ to $N$, and $M$ roads connecting the intersections. Each road is <strong>one-way<\/strong>, with a fixed time to pass through the road.<\/p>\r\n\r\n<p>Every day, Yunee goes to work from home by car with Hyundai Mobis self-driving system. Yunee&rsquo;s home is at intersection $S$, and the workplace is at intersection $T$. Hyundai Mobis self-driving system always uses a driving route with the least amount of time.<\/p>\r\n\r\n<p>Yunee recently heard that two more roads will be built in Ulsan. Yunee is excited because the new roads may shorten the time to go to work. However, Yunee does not know which intersections the roads will connect and how long it will take to pass through the roads. So Yunee will assume $Q$ road construction scenarios, and calculate which path the self-driving car will take in each scenario.<\/p>\r\n\r\n<p>For each $Q$ scenario, find how long it takes to go to work from home by Hyundai Mobis self-driving car.<\/p>\r\n","input":"<p>The first line gives the number of intersections $N$, the number of existing roads $M$, home location $S$, and workplace location $T$. ($2\\leq N\\leq 300$; $0\\leq M\\leq 3\\ 000$; $1\\leq S,T\\leq N$; $S\\neq T$)<\/p>\r\n\r\n<p>In the next $M$ lines, three integers $u$, $v$, and $w$ representing the existing roads are given. It represents a one-way road connecting from intersection $u$ to $v$, with a time $w$ to pass through the road. ($1\\leq u,v\\leq N$; $1\\leq w\\leq 10^6$)<\/p>\r\n\r\n<p>The next line gives the number of road construction scenarios $Q$. ($1\\leq Q\\leq 100\\ 000$)<\/p>\r\n\r\n<p>In the next $Q$ lines, six integers $a_1$, $b_1$, $c_1$, $a_2$, $b_2$, and $c_2$ representing the two roads to be built are given. It represents a one-way road connecting from intersection $a_1$ to $b_1$ with a time $c_1$ to pass through the road, and another one from intersection $a_2$ to $b_2$ with a time $c_2$. ($1\\leq a_1,b_1,a_2,b_2\\leq N$; $1\\le c_1,c_2\\le 10^6$)<\/p>\r\n\r\n<p>There may be multiple roads connecting the same pair of intersections, and some roads may connect an intersection to itself.<\/p>\r\n","output":"<p>For each $Q$ scenario, print the time it takes for Yunee to go to work from home, one per line. If it is impossible to go to work, print $-1$ for that scenario instead.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English"}]

출처

University > UNIST > 4th UNIST Algorithm Programming Contest Uni-CODE 2022 D번