Submission #2120329


Source Code Expand

import java.util.*

val DEBUG = false

val P = 1000000007L

data class FiniteField(val x: Long) {
  operator fun plus(o: FiniteField) = FiniteField((x + o.x) % P)
  operator fun minus(o: FiniteField) = FiniteField((x + P - o.x) % P)
  operator fun times(o: FiniteField) = FiniteField((x * o.x) % P)
}

data class Edge(val from: Int, val to: Int, val cost: Long)

data class State(val v: Int, val cost: Long)

fun compareState(s1: State, s2: State): Int {
  if (s1.cost > s2.cost) return 1
  if (s1.cost < s2.cost) return -1
  return 0
}

fun readIntList(s: String): List<Int> {
  var values = mutableListOf<Int>()
  var count = 0
  var currentInt = 0
  for (i in 0 until s.length) {
    if (s[i] == ' ') {
      values.add(currentInt)
      currentInt = 0
      count++
    } else {
      currentInt *= 10
      currentInt += s[i] - '0'
    }
  }
  values.add(currentInt)
  return values
}


fun main(args: Array<String>) {
  val (n, m) = readIntList(readLine()!!)
  val (sRaw, tRaw) = readIntList(readLine()!!)
  val s = sRaw - 1
  val t = tRaw - 1
  val graph = Array(n, { mutableListOf<Edge>() })
  repeat(m) {
    val line = readLine()!!
    val (uRaw, vRaw, dInt) = readIntList(line)
    val u = uRaw - 1
    val v = vRaw - 1
    val d = dInt.toLong()
    graph[u].add(Edge(u, v, d))
    graph[v].add(Edge(v, u, d))
  }

  // Dijkstra from s
  val pq = PriorityQueue<State>(11, { s1: State, s2: State -> compareState(s1, s2) })
  val dist = LongArray(n, { Long.MAX_VALUE })
  dist[s] = 0
  pq.add(State(s, 0L))
  while (pq.isNotEmpty()) {
    val state = pq.poll()!!
    if (dist[state.v] < state.cost) continue
    for (e in graph[state.v]) {
      if (state.cost + e.cost < dist[e.to]) {
        dist[e.to] = state.cost + e.cost
        pq.add(State(e.to, state.cost + e.cost))
      }
    }
  }
  if (DEBUG) println("dist: ${dist.toList()}")

  val sGraph = Array(n, { mutableListOf<Int>() })
  val tGraph = Array(n, { mutableListOf<Int>() })

  val stack = ArrayDeque<Int>()
  stack.offerLast(t)
  val visited = BooleanArray(n)
  while (stack.isNotEmpty()) {
    val v = stack.pollLast()
    if (visited[v]) continue
    visited[v] = true
    if (DEBUG) println("v: $v")
    for (e in graph[v]) {
      if (dist[v] == dist[e.to] + e.cost) {
        tGraph[v].add(e.to)
        sGraph[e.to].add(v)
        stack.offerLast(e.to)
      }
    }
  }
//  for (v in 0 until n) {
//    for (e in graph[v]) {
//      if (dist[v] + e.cost == dist[e.to]) {
//        tGraph[e.to].add(v)
//        sGraph[v].add(e.to)
//      }
//    }
//  }
  if (DEBUG) println("sGraph: ${sGraph.toList()}")
  if (DEBUG) println("tGraph: ${tGraph.toList()}")

  val sCount = Array(n, { FiniteField(0) })
  sCount[s] = FiniteField(1)
  val sSorted = dist.withIndex().sortedBy { it.value }.map { it.index }
  fillCount(s, sGraph, sSorted, sCount)
  if (DEBUG) println("sCount: ${sCount.toList()}")

  val tCount = Array(n, { FiniteField(0) })
  tCount[t] = FiniteField(1)
  val tSorted = sSorted.reversed()
  fillCount(t, tGraph, tSorted, tCount)
  if (DEBUG) println("tCount: ${tCount.toList()}")

  var ans = sCount[t] * tCount[s]
  if (DEBUG) println("ans STEP 1: $ans")
  val totalDist = dist[t]
  // Meet on vertex
  for (v in 0 until n) {
    if (dist[v] * 2 == totalDist) {
      ans -= sCount[v] * sCount[v] * tCount[v] * tCount[v]
    }
  }
  if (DEBUG) println("ans STEP 2: $ans")

  // Meet on edge
  for (v in 0 until n) {
    for (e in graph[v]) {
      if (dist[v] + e.cost == dist[e.to] && dist[v] * 2 < totalDist && dist[e.to] * 2 > totalDist) {
        ans -= sCount[v] * sCount[v] * tCount[e.to] * tCount[e.to]
      }
    }
  }
  if (DEBUG) println("ans STEP 3: $ans")

  println(ans.x)
}

fun fillCount(r: Int, graph: Array<MutableList<Int>>, tSorted: List<Int>, count: Array<FiniteField>) {
  for (v in tSorted) {
    for (u in graph[v]) {
      count[u] = (count[u] + count[v])
    }
  }
}

Submission Info

Submission Time
Task E - Avoiding Collision
User ymatsux
Language Kotlin (1.0.0)
Score 700
Code Size 4037 Byte
Status AC
Exec Time 1649 ms
Memory 159304 KB

Compile Error

Main.kt:141:15: warning: parameter 'r' is never used
fun fillCount(r: Int, graph: Array<MutableList<Int>>, tSorted: List<Int>, count: Array<FiniteField>) {
              ^

Judge Result

Set Name Sample All
Score / Max Score 0 / 0 700 / 700
Status
AC × 4
AC × 22
Set Name Test Cases
Sample sample01.txt, sample02.txt, sample03.txt, sample04.txt
All 01.txt, 02.txt, 03.txt, 04.txt, 05.txt, 06.txt, 07.txt, 08.txt, 09.txt, 10.txt, 11.txt, 12.txt, 13.txt, 14.txt, 15.txt, 16.txt, 17.txt, 18.txt, sample01.txt, sample02.txt, sample03.txt, sample04.txt
Case Name Status Exec Time Memory
01.txt AC 1358 ms 136196 KB
02.txt AC 1365 ms 136376 KB
03.txt AC 1529 ms 150208 KB
04.txt AC 1501 ms 146336 KB
05.txt AC 1373 ms 134292 KB
06.txt AC 1523 ms 148440 KB
07.txt AC 1469 ms 150852 KB
08.txt AC 1403 ms 146248 KB
09.txt AC 1474 ms 154400 KB
10.txt AC 1499 ms 152984 KB
11.txt AC 1649 ms 147896 KB
12.txt AC 1579 ms 149604 KB
13.txt AC 1602 ms 157936 KB
14.txt AC 1532 ms 155104 KB
15.txt AC 1526 ms 155540 KB
16.txt AC 1515 ms 156044 KB
17.txt AC 1515 ms 153360 KB
18.txt AC 1613 ms 159304 KB
sample01.txt AC 235 ms 35956 KB
sample02.txt AC 233 ms 34036 KB
sample03.txt AC 231 ms 35988 KB
sample04.txt AC 233 ms 35952 KB