結果

問題 No.1595 The Final Digit
ユーザー yakamotoyakamoto
提出日時 2021-07-09 21:40:18
言語 Kotlin
(1.9.23)
結果
AC  
実行時間 292 ms / 2,000 ms
コード長 4,006 bytes
コンパイル時間 17,934 ms
コンパイル使用メモリ 467,448 KB
実行使用メモリ 50,248 KB
最終ジャッジ日時 2024-07-01 15:36:24
合計ジャッジ時間 23,569 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 286 ms
49,856 KB
testcase_01 AC 285 ms
49,828 KB
testcase_02 AC 282 ms
50,148 KB
testcase_03 AC 284 ms
49,932 KB
testcase_04 AC 285 ms
49,964 KB
testcase_05 AC 286 ms
50,000 KB
testcase_06 AC 290 ms
49,928 KB
testcase_07 AC 291 ms
49,984 KB
testcase_08 AC 285 ms
50,248 KB
testcase_09 AC 286 ms
50,120 KB
testcase_10 AC 292 ms
49,936 KB
testcase_11 AC 289 ms
50,164 KB
testcase_12 AC 287 ms
49,808 KB
testcase_13 AC 287 ms
50,044 KB
testcase_14 AC 285 ms
50,168 KB
testcase_15 AC 289 ms
50,056 KB
testcase_16 AC 283 ms
49,788 KB
testcase_17 AC 290 ms
50,152 KB
testcase_18 AC 286 ms
49,952 KB
testcase_19 AC 285 ms
50,000 KB
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:160:11: 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:164:11: 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:168:11: 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:172:11: 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:174:11: 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:181:11: 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:188:11: 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:205:11: 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

diff # 

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
import kotlin.math.sqrt

val MOD = 1_000_000_007

fun powMat(a: Array<LongArray>, n: Long, mod: Int): Array<LongArray> {
  fun I() = run {
    Array(a.size){
      val res = LongArray(a.size)
      res[it] = 1
      res
    }
  }

  if (n == 0L) return I()
  if (n == 1L) return a
  val res = powMat(mulMat(a, a, mod), n / 2, mod)
  return if (n % 2 == 1L) mulMat(res, a, mod) else res
}

fun mulMat(a: Array<LongArray>, b: Array<LongArray>, mod: Int): Array<LongArray> {
  assert(a[0].size == b.size)
  val len = a[0].size
  val h = a.size
  val w = b[0].size
  val res = Array(h){LongArray(w)}
  val th = 7e18.toLong()
  for (i in 0 until h) {
    for (j in 0 until w) {
      var v = 0L
      for (k in 0 until len) {
        v += a[i][k] * b[k][j]
        if (v > th) v %= mod
      }
      res[i][j] = if (v >= mod) v % mod else v
    }
  }
  return res
}
class Solver(stream: InputStream, private val out: java.io.PrintWriter) {
  private val reader = BufferedReader(InputStreamReader(stream), 32768)

  fun solve() {
    val (A1, A2, A3, K) = nal(4)
    val A = arrayOf(
      longArrayOf(1, 1, 1),
      longArrayOf(1, 0, 0),
      longArrayOf(0, 1, 0)
    )
    val init = arrayOf(
      longArrayOf(A3%10),
      longArrayOf(A2%10),
      longArrayOf(A1%10)
    )

    val Ak = powMat(A, K - 1, 10)
    val B = mulMat(Ak, init, 10)
    val ans = B[2][0]
    out.println(ans % 10)

  }













































  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())}
}

fun main() {
  val out = java.io.PrintWriter(System.out)
  Solver(System.`in`, out).solve()
  out.flush()
}
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