結果
問題 | No.2149 Vanitas Vanitatum |
ユーザー | 👑 箱 |
提出日時 | 2022-07-31 01:45:48 |
言語 | Kotlin (1.9.23) |
結果 |
AC
|
実行時間 | 537 ms / 2,000 ms |
コード長 | 5,262 bytes |
コンパイル時間 | 21,307 ms |
コンパイル使用メモリ | 469,000 KB |
実行使用メモリ | 136,600 KB |
最終ジャッジ日時 | 2024-04-18 03:59:10 |
合計ジャッジ時間 | 30,670 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge5 |
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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 | 458 ms
136,204 KB |
testcase_01 | AC | 338 ms
62,496 KB |
testcase_02 | AC | 465 ms
136,208 KB |
testcase_03 | AC | 335 ms
62,568 KB |
testcase_04 | AC | 454 ms
136,184 KB |
testcase_05 | AC | 463 ms
136,004 KB |
testcase_06 | AC | 340 ms
62,440 KB |
testcase_07 | AC | 461 ms
136,136 KB |
testcase_08 | AC | 333 ms
62,536 KB |
testcase_09 | AC | 459 ms
136,148 KB |
testcase_10 | AC | 461 ms
136,172 KB |
testcase_11 | AC | 457 ms
136,164 KB |
testcase_12 | AC | 356 ms
62,688 KB |
testcase_13 | AC | 347 ms
62,780 KB |
testcase_14 | AC | 365 ms
62,740 KB |
testcase_15 | AC | 352 ms
62,652 KB |
testcase_16 | AC | 339 ms
62,508 KB |
testcase_17 | AC | 349 ms
62,704 KB |
testcase_18 | AC | 358 ms
62,700 KB |
testcase_19 | AC | 511 ms
136,516 KB |
testcase_20 | AC | 531 ms
136,600 KB |
testcase_21 | AC | 473 ms
136,300 KB |
testcase_22 | AC | 533 ms
136,528 KB |
testcase_23 | AC | 529 ms
136,356 KB |
testcase_24 | AC | 352 ms
62,732 KB |
testcase_25 | AC | 508 ms
136,536 KB |
testcase_26 | AC | 537 ms
136,512 KB |
ソースコード
import java.io.PrintWriter import java.util.* import kotlin.math.* fun youngToMaya(a: Array<Int>): String { val n = a.size val sb = java.lang.StringBuilder() sb.append("1".repeat(a[0])) sb.append("0") for (i in 1 until n) { sb.append("1".repeat(a[i] - a[i - 1])) sb.append("0") } return sb.toString() } fun mayaToYoung(s: String): Array<Int> { var now = 0 val a = mutableListOf<Int>() for (c in s) { if (c == '1') { now++ } else { if (now != 0) { a.add(now) } } } return a.toTypedArray() } fun hookProd(a: Array<Int>): ModInt { val n = a.size if (n == 0) return ModInt(1) val m = a.last() val down = Array(m + 1) { 0 } var ret = ModInt(1) for (i in 0 until n) { for (j in a[i] downTo 1) { val l = down[j] + (a[i] - j + 1) down[j]++ ret *= ModInt(l) } } return ret } fun PrintWriter.solve() { val n = nextInt() val a = Array(n) { nextInt() } val s = youngToMaya(a) val s1 = s.indices.filter { it % 2 == 0 }.map { s[it] }.joinToString("") val s2 = s.indices.filter { it % 2 == 1 }.map { s[it] }.joinToString("") val b1 = mayaToYoung(s1) val b2 = mayaToYoung(s2) val sum1 = b1.sum() val sum2 = b2.sum() if ((sum1 + sum2) * 2 != a.sum()) { println(0) return } val cc = CombinationCalculator() println(cc.binom(sum1 + sum2.toLong(), sum1.toLong()) * cc.fac(sum1) * cc.fac(sum2) / (hookProd(b1) * hookProd(b2))) } // region ModInt class ModInt(x: Long) { companion object { const val MOD = 998244353L //const val MOD = 1000000007L } constructor(y: Int) : this(y.toLong()) val x = (x % MOD + MOD) % MOD operator fun plus(other: ModInt): ModInt { return ModInt(x + other.x) } operator fun minus(other: ModInt): ModInt { return ModInt(x - other.x) } operator fun times(other: ModInt): ModInt { return ModInt(x * other.x) } operator fun div(other: ModInt): ModInt { return this * other.inv() } fun pow(exp: Long): ModInt { if (exp == 0L) return ModInt(1L) var a = pow(exp shr 1) a *= a if (exp and 1L == 0L) return a return this * a } fun inv(): ModInt { return this.pow(MOD - 2) } override fun equals(other: Any?): Boolean { if (this === other) return true if (javaClass != other?.javaClass) return false other as ModInt if (x != other.x) return false return true } override fun hashCode(): Int { return x.hashCode() } override fun toString(): String { return "$x" } } class ModIntArray(n: Int) { private val a = LongArray(n) { 0L } constructor(n: Int, init: (Int) -> ModInt) : this(n) { for (i in 0 until n) { a[i] = init(i).x } } operator fun set(i: Int, x: ModInt) { a[i] = x.x } operator fun get(i: Int): ModInt { return ModInt(a[i]) } fun joinToString(s: String = ", "): String { return a.joinToString(s) } } fun Long.toModInt(): ModInt { return ModInt(this) } fun Int.toModInt(): ModInt { return ModInt(this) } fun binomSimple(n: Long, k: Long): ModInt { var numer = ModInt(1) var denom = ModInt(1) for (i in 0 until k) { numer *= ModInt(n - i) denom *= ModInt(k - i) } return numer / denom } // endregion class CombinationCalculator { companion object { private const val fac_size = 600000 } private val arrFac = Array(fac_size) { ModInt(1) } private val arrInvfac = Array(fac_size) { ModInt(1) } init { for (i in 1 until fac_size) { arrFac[i] = arrFac[i - 1] * ModInt(i) } arrInvfac[fac_size - 1] = arrFac[fac_size - 1].inv() for (i in fac_size - 2 downTo 1) { arrInvfac[i] = arrInvfac[i + 1] * ModInt(i + 1) } } fun fac(n: Int): ModInt { return arrFac[n] } fun fac(n: Long): ModInt { return fac(n.toInt()) } fun invfac(n: Int): ModInt { return arrInvfac[n] } fun invfac(n: Long): ModInt { return invfac(n.toInt()) } fun binom(n: Long, k: Long): ModInt { return if (k in 0..n) { arrFac[n.toInt()] * arrInvfac[k.toInt()] * arrInvfac[(n - k).toInt()] } else { ModInt(0) } } } fun main() { Thread(null, { val writer = PrintWriter(System.out, false) writer.solve() writer.flush() }, "solve", abs(1L.shl(26))) .apply { setUncaughtExceptionHandler { _, e -> e.printStackTrace(); kotlin.system.exitProcess(1) } } .apply { start() }.join() } // region Scanner private var st = StringTokenizer("") private val br = System.`in`.bufferedReader() fun next(): String { while (!st.hasMoreTokens()) st = StringTokenizer(br.readLine()) return st.nextToken() } fun nextInt() = next().toInt() fun nextLong() = next().toLong() fun nextLine() = br.readLine() fun nextDouble() = next().toDouble() // endregion