結果

問題 No.1864 Shortest Paths Counting
ユーザー yudedako
提出日時 2022-03-15 22:13:13
言語 Scala(Beta)
(3.6.2)
結果
TLE  
実行時間 -
コード長 4,371 bytes
コンパイル時間 14,689 ms
コンパイル使用メモリ 270,216 KB
実行使用メモリ 66,952 KB
最終ジャッジ日時 2024-09-22 14:33:31
合計ジャッジ時間 29,163 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 5 TLE * 1 -- * 17
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

import java.io.PrintWriter
import scala.collection.mutable.*
import scala.io.StdIn.*
import scala.util.chaining.*
import scala.math.*
import scala.reflect.ClassTag
import scala.util.*
import scala.annotation.tailrec
import scala.collection.mutable
object ModInt:
  opaque type ModInt = Long
  inline def zero: ModInt = 0
  inline def one: ModInt = 1
  extension (value: Long)
    inline def toModInt(using inline mod: Int): ModInt =  value % mod
    inline def unsafeAsModInt: ModInt = value
  extension (value: Int)
    inline def toModInt(using inline mod: Int): ModInt = value % mod
    inline def unsafeAsModInt: ModInt = value
  trait Converter[T]:
    inline def convert(value: T)(using inline mod: Int): ModInt
  inline given Converter[Int] with
    override inline def convert(value: Int)(using inline mod: Int) = value.toModInt
  inline given Converter[Long] with
    override inline def convert(value: Long)(using inline mod: Int) = value.toModInt
  inline given Converter[ModInt] with
    override inline def convert(value: ModInt)(using inline mod: Int) = value
  extension (modInt: ModInt)
    inline def value(using inline mod: Int): Long = (modInt + mod) % mod
    inline def rawValue: Long = modInt
    inline def inverse(using inline mod: Int): ModInt =
      var x = modInt
      var y = mod.toLong
      var a = 1L
      var b = 0L
      var c = 0L
      var d = 1L
      while y != 0 do
        val q = x / y
        val e = a - c * q
        val f = b - d * q
        a = c
        b = d
        c = e
        d = f
        x = y
        y = c * modInt + d * mod
      require(x.abs == 1L)
      if x == 1 then a % mod else -a % mod
    inline def pow(exp: Long)(using inline mod: Int): ModInt =
      var result = 1L
      var base = modInt
      var e = exp
      while e > 0 do
        if (e & 1) == 1 then
          result = result * base % mod
        base = base * base % mod
        e >>= 1
      result
    inline def pow(exp: Int)(using inline mod: Int): ModInt = pow(exp.toLong)
  inline def powMod[B: Converter] (base: B, exp: Int)(using inline mod: Int): ModInt = summon[Converter[B]].convert(base).pow(exp)
  inline def powMod[B: Converter] (base: B, exp: Long)(using inline mod: Int): ModInt = summon[Converter[B]].convert(base).pow(exp)
  extension [L: Converter, R: Converter] (left: L)
    inline def +(right: R)(using inline mod: Int): ModInt = (summon[Converter[L]].convert(left) + summon[Converter[R]].convert(right)).toModInt
    inline def -(right: R)(using inline mod: Int): ModInt = (summon[Converter[L]].convert(left) - summon[Converter[R]].convert(right)).toModInt
    inline def *(right: R)(using inline mod: Int): ModInt = (summon[Converter[L]].convert(left) * summon[Converter[R]].convert(right)).toModInt
    inline def /(right: R)(using inline mod: Int): ModInt = (summon[Converter[L]].convert(left) * summon[Converter[R]].convert(right).inverse
        ).toModInt
class Bit(size: Int):
  import ModInt.*
  private val vec = Array.fill(size){ModInt.zero}
  inline def get(position: Int)(using inline mod: Int): ModInt =
    var pos = position
    var result = ModInt.zero
    while 0 <= pos do
      result += vec(pos)
      pos -= ~pos & (pos + 1)
    result
  inline def add(position: Int, value: ModInt)(using inline mod: Int) =
    var pos = position
    while pos < size do
      vec(pos) += value
      pos += ~pos & (pos + 1)
@main def main =
  inline given MOD: Int = 998244353
  val n = readLine().toInt
  val points = Array.fill(n){
    val Array(x, y) = readLine().split(' ').map(_.toInt)
    x -> y
  }
  val (startX, startY) = points.head
  val (goalX, goalY) = points.last
  val sx = if startX + startY <= goalX + goalY then 1 else -1
  val sy = if startY - startX <= goalY - goalX then 1 else -1
  val normalized = points.map{case (x, y) => (x + y - - startX - startY) * sx -> (y - x + startX - startY) * sy}
  val yRank = normalized.map(_._2).distinct.sorted.zipWithIndex.toMap
  val bit = Bit(yRank.size)
  var result = ModInt.zero
  for i <- normalized.indices.sorted(using Ordering.by[Int, Int](i => normalized(i)._1).orElseBy(i => normalized(i)._2)) do
    val (_, y) = normalized(i)
    if i == 0 then
      bit.add(yRank(y), ModInt.one)
    else if i == n - 1 then
      result = bit.get(yRank(y))
    else
      val pattern = bit.get(yRank(y))
      bit.add(yRank(y), pattern)
  println(result.value)
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