#693455 (Kotlin) No.1659 Product of Divisors

提出ソース

結果

問題	No.1659 Product of Divisors
コンテスト
ユーザー	yakamoto
提出日時	2021-08-27 23:42:07
言語	Kotlin (2.1.0)
結果	AC
実行時間	305 ms / 2,000 ms
コード長	5,525 bytes
コンパイル時間	15,866 ms
コンパイル使用メモリ	471,328 KB
実行使用メモリ	57,020 KB
最終ジャッジ日時	2024-11-21 05:33:54
合計ジャッジ時間	24,093 ms
ジャッジサーバーID （参考情報）	judge3 / judge4

このコードへのチャレンジ
（要ログイン）

ファイルパターン	結果
sample	AC * 2
other	AC * 23

権限があれば一括ダウンロードができます

コンパイルメッセージ

Main.kt:217:11: warning: expected performance impact from inlining is insignificant. Inlining works best for functions with parameters of functional types
  private inline fun debug(a: LongArray) {
          ^
Main.kt:221:11: warning: expected performance impact from inlining is insignificant. Inlining works best for functions with parameters of functional types
  private inline fun debug(a: IntArray) {
          ^
Main.kt:225:11: warning: expected performance impact from inlining is insignificant. Inlining works best for functions with parameters of functional types
  private inline fun debug(a: BooleanArray) {
          ^
Main.kt:229:11: warning: expected performance impact from inlining is insignificant. Inlining works best for functions with parameters of functional types
  private inline fun toString(a: BooleanArray) = run{a.map { if (it) 1 else 0 }.joinToString("")}
          ^
Main.kt:231:11: warning: expected performance impact from inlining is insignificant. Inlining works best for functions with parameters of functional types
  private inline fun debugDim(A: Array<LongArray>) {
          ^
Main.kt:238:11: warning: expected performance impact from inlining is insignificant. Inlining works best for functions with parameters of functional types
  private inline fun debugDim(A: Array<IntArray>) {
          ^
Main.kt:245:11: warning: expected performance impact from inlining is insignificant. Inlining works best for functions with parameters of functional types
  private inline fun debugDim(A: Array<BooleanArray>) {
          ^
Main.kt:262:11: warning: expected performance impact from inlining is insignificant. Inlining works best for functions with parameters of functional types
  private inline fun assert(b: Boolean) = run{if (!b) throw AssertionError()}
          ^

ソースコード

raw source code

import java.io.BufferedReader
import java.io.InputStream
import java.io.InputStreamReader
import java.lang.AssertionError
import java.util.*
import kotlin.math.abs
import kotlin.math.max
import kotlin.math.min

val MOD = 1_000_000_007

/**
 * @param mod 逆数計算するため素数でないといけない
 */
class Comb(n: Int, val mod: Int) {

  val F = LongArray(n + 1)
  val I = LongArray(n + 1)

  // n>=modでも処理できるように、*modを別扱いにする
  val cntF = IntArray(n + 1) // Fの*modの数
  val x = IntArray(n + 1) // 数値から*modを取り除いた値
  val cntX = IntArray(n + 1) // xの*modの数

  init {
    F[0] = 1
    I[0] = 1
    for (i in 1..n) {
      x[i] = i
      if(x[i] % mod == 0) {
        val j = i/mod
        cntX[i] = cntX[j] + 1
        x[i] = x[j]
      }
      F[i] = F[i - 1] * x[i] % mod
      cntF[i] += cntF[i - 1] + cntX[i]
    }

    I[n] = powMod(F[n], (mod - 2).toLong(), mod)
    for (i in n - 1 downTo 0) {
      I[i] = I[i + 1] * x[i + 1] % mod
    }
  }

  private fun powMod(a: Long, n: Long, mod: Int): Long {
    if (n == 0L) return 1
    val res = powMod(a * a % mod, n / 2, mod)
    return if (n % 2 == 1L) res * a % mod else res
  }

  fun comb(n: Int, k: Int): Long {
    if (n < k) return 0L
    val c = cntF[n] - cntF[k] - cntF[n - k]
    return if (c > 0) 0 else F[n] * I[k] % mod * I[n - k] % mod
  }

  fun perm(n: Int, k: Int): Long {
    val c = cntF[n] - cntF[n - k]
    return if (c > 0) 0 else F[n] * I[n - k] % mod
  }

  fun inv(x: Int): Long {
    val c = cntF[x] - cntF[x - 1]
    return if (c > 0) 0 else I[x] * F[x - 1] % mod
  }

  /**
   * nのグループからk回重複ありで選ぶ組み合わせ数
   * n - 1のしきりとkの○で考える
   */
  fun H(n: Int, k: Int) = comb(n + k - 1, k)
}

fun factorize(a: Long): List<Pair<Long, Long>> {
  val res = mutableListOf<Pair<Long, Long>>()
  var x = a
  var i = 2L
  while(i * i <= x) {
    var cnt = 0L
    while (x % i == 0L) {
      cnt++
      x /= i
    }
    if (cnt > 0) res += Pair(i, cnt)
    i++
  }
  if (x > 1) res += Pair(x, 1L)
  return res
}
class Solver(stream: InputStream, private val out: java.io.PrintWriter) {
  private val reader = BufferedReader(InputStreamReader(stream), 32768)

  fun solve() {
    val (N, K) = nal(2)

    val comb = Comb(100, MOD)
    val A = factorize(N).map{it.second.toInt() + 1}.toIntArray()
    val cnt = A.fold(1, Int::times)
    val n = A.size
    val v = IntArray(n + 1) // incrが楽なので１個余計に用意する
    fun incr() {
      v[0]++
      var i = 0
      while(i < n && A[i] == v[i]) {
        v[i] = 0
        v[++i]++
      }
    }

    var ans = 0L
    for (t in 0 until cnt) {
      var c = 1L
      for (i in 0 until n) {
        for (j in K..K - 1 + v[i]) {
          c = c * (j % MOD) % MOD
        }
        c = c *comb.I[v[i]]%MOD
      }

      ans = (ans + c) %MOD

      incr()
    }
    out.println(ans)
  }













































  private val isDebug = try {
    // なんか本番でエラーでる
    System.getenv("MY_DEBUG") != null
  } catch (t: Throwable) {
    false
  }

  private var tokenizer: StringTokenizer? = null
  private fun next(): String {
    while (tokenizer == null || !tokenizer!!.hasMoreTokens()) {
      tokenizer = StringTokenizer(reader.readLine())
    }
    return tokenizer!!.nextToken()
  }

  private fun ni() = next().toInt()
  private fun nl() = next().toLong()
  private fun ns() = next()
  private fun na(n: Int, offset: Int = 0): IntArray {
    return IntArray(n) { ni() + offset }
  }
  private fun nal(n: Int, offset: Int = 0): LongArray {
    val res = LongArray(n)
    for (i in 0 until n) {
      res[i] = nl() + offset
    }
    return res
  }

  private fun na2(n: Int, offset: Int = 0): Array<IntArray> {
    val a  = Array(2){IntArray(n)}
    for (i in 0 until n) {
      for (e in a) {
        e[i] = ni() + offset
      }
    }
    return a
  }

  private inline fun debug(msg: () -> String) {
    if (isDebug) System.err.println(msg())
  }

  /**
   * コーナーケースでエラー出たりするので、debug(dp[1])のように添え字付きの場合はdebug{}をつかうこと
   */
  private inline fun debug(a: LongArray) {
    debug { a.joinToString(" ") }
  }

  private inline fun debug(a: IntArray) {
    debug { a.joinToString(" ") }
  }

  private inline fun debug(a: BooleanArray) {
    debug { toString(a) }
  }

  private inline fun toString(a: BooleanArray) = run{a.map { if (it) 1 else 0 }.joinToString("")}

  private inline fun debugDim(A: Array<LongArray>) {
    if (isDebug) {
      for (a in A) {
        debug(a)
      }
    }
  }
  private inline fun debugDim(A: Array<IntArray>) {
    if (isDebug) {
      for (a in A) {
        debug(a)
      }
    }
  }
  private inline fun debugDim(A: Array<BooleanArray>) {
    if (isDebug) {
      for (a in A) {
        debug(a)
      }
    }
  }

  /**
   * 勝手にimport消されるのを防ぎたい
   */
  private fun hoge() {
    min(1, 2)
    max(1, 2)
    abs(-10)
  }

  private inline fun assert(b: Boolean) = run{if (!b) throw AssertionError()}
  private inline fun assert(b: Boolean, f: () -> String) = run{if (!b) throw AssertionError(f())}

  companion object {
    // TestRunnerから呼びたいので単純なmainじゃだめ
    fun main() {
      val out = java.io.PrintWriter(System.out)
      Solver(System.`in`, out).solve()
      out.flush()
    }
  }
}

/**
 * judgeから呼ばれる
 */
fun main() = Solver.main()

yukicoder

結果

コンパイルメッセージ

ソースコード