結果

問題 No.1202 お菓子の食べ方
コンテスト
ユーザー 箱星
提出日時 2021-12-18 02:19:08
言語 Kotlin
(2.1.0)
結果
RE  
実行時間 -
コード長 4,028 bytes
コンパイル時間 16,327 ms
コンパイル使用メモリ 456,344 KB
実行使用メモリ 155,664 KB
最終ジャッジ日時 2024-09-15 03:40:25
合計ジャッジ時間 53,453 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge6
このコードへのチャレンジ
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ファイルパターン 結果
other AC * 20 RE * 25
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.PrintWriter
import java.util.*
import kotlin.math.*

fun PrintWriter.solve() {
    val n = nextInt()
    val m = nextInt()
    val s = Array(n) { LongArray(m) { nextLong() } }
    var ans = ModInt(0)
    val cc = CombinationCalculator()
    for (x in 0 until n) {
        for (y in 0 until m) {
            val v = s[x][y]
            ans += cc.binom(x + y + v - 1, x.toLong()) * cc.binom(y + v - 1, y.toLong())
            val v1 = if (y + 1 < m) s[x][y + 1] else 0
            ans += cc.binom(x + y.toLong(), x.toLong()) * (cc.binom(x + y + v, v - 1) - cc.binom(x + y + v1, v1 - 1))
            val v2 = if (x + 1 < n) s[x + 1][y] else 0
            ans += cc.binom(x + y.toLong(), x.toLong()) * (cc.binom(x + y + v, v - 1) - cc.binom(x + y + v2, v2 - 1))
        }
    }
    println(ans)
}

// 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"
    }
}

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
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