結果

問題 No.1785 Inequality Signs
コンテスト
ユーザー yudedako
提出日時 2022-01-26 15:24:17
言語 Scala(Beta)
(3.6.2)
結果
TLE  
(最新)
AC  
(最初)
実行時間 -
コード長 2,673 bytes
コンパイル時間 14,010 ms
コンパイル使用メモリ 280,748 KB
実行使用メモリ 247,092 KB
最終ジャッジ日時 2025-01-29 22:44:21
合計ジャッジ時間 182,738 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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ファイルパターン 結果
sample TLE * 2
other TLE * 52
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 # 

import scala.annotation.tailrec
import scala.io.StdIn.*
import scala.math.*

object ModInt:
  opaque type ModInt = Long
  extension (value: Long)
    inline def asModInt(using inline mod: Int): ModInt =  value % mod
  extension (value: Int)
    inline def asModInt(using inline mod: Int): ModInt = value % mod
  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.asModInt
  inline given Converter[Long] with
    override inline def convert(value: Long)(using inline mod: Int) = value.asModInt
  inline given Converter[ModInt] with
    override inline def convert(value: ModInt)(using inline mod: Int) = value
  extension (modInt: ModInt)
    inline def asLong(using inline mod: Int): Long = (modInt + mod) % mod
    inline def inverse(using inline mod: Int): ModInt = modInt.powMod(mod - 2)
    inline def powMod(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 powMod(exp: Int)(using inline mod: Int): ModInt = powMod(exp.toLong)
  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)).asModInt
    inline def -(right: R)(using inline mod: Int): ModInt = (summon[Converter[L]].convert(left) - summon[Converter[R]].convert(right)).asModInt
    inline def *(right: R)(using inline mod: Int): ModInt = (summon[Converter[L]].convert(left) * summon[Converter[R]].convert(right)).asModInt
    inline def /(right: R)(using inline mod: Int): ModInt = (summon[Converter[L]].convert(left) * summon[Converter[R]].convert(right).inverse).asModInt

@main def main =
  import ModInt.*
  inline given mod: Int = 1000000007
  val Array(n, k) = readLine().split(' ').map(_.toInt)
  val factorial = Array.fill(n + 1){1.asModInt}
  for i <- 2 to n do
    factorial(i) = i * factorial(i - 1)
  val inverse = factorial.clone()
  inverse(n) = inverse(n).inverse
  for i <- n to 2 by -1 do
    inverse(i - 1) = i * inverse(i)
  def combination(n: Int, r: Int): ModInt = factorial(n) * inverse(r) * inverse(n - r)
  var current = (k + n - 1 to k by -1).foldLeft(1.asModInt){_ * _} * inverse(n)
  val maxLt = min(n - 1, k - 1)
  var result = current
  for lt <- 1 to maxLt do
    current = current * (k - lt) * (n - lt) / ((k + n - lt).asModInt * lt)
    result += current
  println(result.asLong)
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