提出 #54579921

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ソースコード 拡げる

import java.io.*
import java.util.*
import kotlin.collections.*
import kotlin.math.*

val INPUT: InputStream = System.`in`
val OUTPUT: PrintStream = System.out

val _reader = INPUT.bufferedReader()

var _tokenizer: StringTokenizer = StringTokenizer("")
fun read(): String {
    while (!_tokenizer.hasMoreTokens()) {
        _tokenizer = StringTokenizer(_reader.readLine() ?: return "", " ")
    }
    return _tokenizer.nextToken()
}

fun readInt() = read().toInt()
fun readDouble() = read().toDouble()
fun readLong() = read().toLong()
fun readStrings(n: Int) = List(n) { read() }
fun readInts(n: Int) = List(n) { readInt() }
fun readIntArray(n: Int) = IntArray(n) { readInt() }
fun readDoubles(n: Int) = List(n) { readDouble() }
fun readDoubleArray(n: Int) = DoubleArray(n) { readDouble() }
fun readLongs(n: Int) = List(n) { readLong() }
fun readLongArray(n: Int) = LongArray(n) { readLong() }

val _writer = PrintWriter(OUTPUT, false)
inline fun output(block: PrintWriter.() -> Unit) {
    _writer.apply(block).flush()
}

class MutableIntMap<K> : LinkedHashMap<K, Int>() {
    override operator fun get(key: K): Int = super.get(key) ?: 0

    fun increment(key: K, value: Int = 1) {
        this[key] = this[key] + value
    }

    companion object {
        fun <K> mutableIntMapOf(vararg pairs: Pair<K, Int>) =
            MutableIntMap<K>().apply { putAll(pairs) }
    }
}

typealias Pii = Pair<Int, Int>

fun readPii() = readInt() to readInt()
fun readPiis(n: Int) = List(n) { readPii() }

infix fun Int.hasBit(i: Int): Boolean = this and (1 shl i) > 0
infix fun Int.xorBit(i: Int): Int = this xor (1 shl i)
infix fun Long.hasBit(i: Int): Boolean = this and (1L shl i) > 0
infix fun Long.xorBit(i: Int): Long = this xor (1L shl i)

fun largerStackSize(stackSizeMegaBytes: Int = 100, action: () -> Unit) {
    Thread(null, action, "", 1024L * 1024 * stackSizeMegaBytes).apply {
        start()
        join()
    }
}

// #################################################################################################

@JvmInline
value class ModInt private constructor(val value: Int) {
    operator fun plus(other: ModInt) = plus(other.value)
    operator fun plus(other: Int) = from(value + other)
    operator fun minus(other: ModInt) = minus(other.value)
    operator fun minus(other: Int) = from(value - other)
    operator fun times(other: ModInt) = times(other.value)
    operator fun times(other: Int) = from(value.toLong() * other)
    operator fun div(other: ModInt) = times(other.inv())
    operator fun div(other: Int) = div(from(other))

    fun pow(exponent: Int): ModInt {
        var ans = One
        var a = this
        var b = exponent
        while (b > 0) {
            if (b % 2 == 1) ans *= a
            a *= a
            b /= 2
        }
        return ans
    }

    fun inv(): ModInt = pow(MOD - 2)

    override fun toString() = value.toString()

    companion object {
        fun from(value: Int) = ModInt(value.mod())
        fun from(value: Long) = ModInt(value.mod())
        fun Int.mod() = mod(MOD)
        fun Long.mod() = mod(MOD)
        val Zero = from(0)
        val One = from(1)

        const val MOD = 998244353
    }
}

class ModCombination(n: Int) {
    val factorial = Array(n + 1) { ModInt.One }.apply {
        for (i in 1..n) this[i] = this[i - 1] * i
    }
    val factorialInv = Array(n + 1) { ModInt.One }.apply {
        this[n] = factorial[n].inv()
        for (i in n downTo 1) this[i - 1] = this[i] * i
    }

    fun c(a: Int, b: Int) =
        if (a >= b) factorial[a] * factorialInv[b] * factorialInv[a - b] else ModInt.Zero
}

fun Array<ModInt>.sum(): ModInt {
    var sum = ModInt.Zero
    for (element in this) sum += element
    return sum
}

val mc = ModCombination(1000)

fun solve() {
    val k = readInt()
    val c = readInts(26)
    var f = Array(k + 1) { ModInt.Zero }
    f[0] = ModInt.One
    for (a in c) {
        val g = Array(k + 1) { ModInt.Zero }
        for (i in 0..k) {
            for (j in 0..min(i, a)) {
                g[i] += f[i - j] * mc.c(i, j)
            }
        }
        f = g
    }
    println(f.sum() - 1)
}

fun main() {
//    repeat(readInt()) { solve() }
    solve()
}

提出情報

ジャッジ結果