結果

問題 No.1253 雀見椪
ユーザー 箱星箱星
提出日時 2020-10-09 22:09:17
言語 Kotlin
(1.9.23)
結果
AC  
実行時間 634 ms / 2,000 ms
コード長 3,271 bytes
コンパイル時間 16,383 ms
コンパイル使用メモリ 456,628 KB
実行使用メモリ 83,008 KB
最終ジャッジ日時 2024-07-20 11:47:16
合計ジャッジ時間 23,009 ms
ジャッジサーバーID
(参考情報)
judge1 / judge3
このコードへのチャレンジ
(要ログイン)

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 258 ms
49,796 KB
testcase_01 AC 260 ms
49,800 KB
testcase_02 AC 264 ms
50,756 KB
testcase_03 AC 377 ms
61,076 KB
testcase_04 AC 634 ms
82,732 KB
testcase_05 AC 618 ms
82,920 KB
testcase_06 AC 619 ms
82,956 KB
testcase_07 AC 625 ms
82,916 KB
testcase_08 AC 619 ms
82,912 KB
testcase_09 AC 617 ms
82,824 KB
testcase_10 AC 631 ms
82,916 KB
testcase_11 AC 614 ms
83,008 KB
testcase_12 AC 622 ms
82,972 KB
testcase_13 AC 619 ms
82,696 KB
testcase_14 AC 258 ms
49,656 KB
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 java.io.BufferedReader
import java.io.InputStream
import java.io.InputStreamReader
import java.io.PrintWriter
import java.util.*

// ModInt
// region
class ModInt(x: Long) {

    companion object {
        const val MOD = 1000000007L
        //const val MOD = 998244353L
    }

    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"
    }

}

val fac = mutableListOf<ModInt>()
val invfac = mutableListOf<ModInt>()

fun fact(n: Long, b: Boolean): ModInt {
    if (fac.count() == 0) {
        fac.add(ModInt(1))
        invfac.add(ModInt(1))
    }
    while (fac.count() <= n) {
        fac.add(fac.last() * ModInt(fac.count().toLong()))
        invfac.add(fac.last().inv())
    }
    return if (b) {
        fac[n.toInt()]
    } else {
        invfac[n.toInt()]
    }
}

fun comb(n: Long, k: Long): ModInt {
    return fact(n, true) * fact(k, false) * fact(n - k, false)
}

fun comb2(n: Long, k: Long): ModInt {
    var ans = ModInt(1)
    for (i in 0 until k) {
        ans = ans * ModInt(n - i) / ModInt(k - i)
    }
    return ans
}
// endregion

fun PrintWriter.solve(sc: FastScanner) {
    val t = sc.nextInt()
    for (_i in 0 until t) {
        val n = sc.nextLong()
        val ag = sc.nextLong()
        val bg = sc.nextLong()
        val ac = sc.nextLong()
        val bc = sc.nextLong()
        val ap = sc.nextLong()
        val bp = sc.nextLong()
        val g = ModInt(ag) / ModInt(bg)
        val c = ModInt(ac) / ModInt(bc)
        val p = ModInt(ap) / ModInt(bp)
        val gn = g.pow(n)
        val cn = c.pow(n)
        val pn = p.pow(n)
        val gc = (g + c).pow(n) - gn - cn
        val gp = (g + p).pow(n) - gn - pn
        val cp = (c + p).pow(n) - cn - pn
        println(ModInt(1) - gc - gp - cp)
    }
}

fun main() {
    val writer = PrintWriter(System.out, false)
    writer.solve(FastScanner(System.`in`))
    writer.flush()
}

class FastScanner(s: InputStream) {
    private var st = StringTokenizer("")
    private val br = BufferedReader(InputStreamReader(s))

    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()
    fun ready() = br.ready()
}
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