結果

問題 No.2291 Union Find Estimate
コンテスト
ユーザー 箱星
提出日時 2023-03-09 03:11:05
言語 Kotlin
(2.1.0)
結果
AC  
実行時間 649 ms / 2,000 ms
コード長 4,662 bytes
コンパイル時間 13,049 ms
コンパイル使用メモリ 461,792 KB
実行使用メモリ 98,108 KB
最終ジャッジ日時 2024-09-18 02:43:59
合計ジャッジ時間 21,253 ms
ジャッジサーバーID
（参考情報） 		judge6 / judge5
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ファイルパターン 結果
sample AC * 2
other AC * 18
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 w = nextInt()
    val h = nextInt()
    val uf = UnionFind(w + 10)
    var components = w.toLong()
    var valid = true
    for (_i in 0 until h) {
        val q = nextLine()
        if (!valid) {
            println(0)
            continue
        }
        val lsts = Array(26) { mutableListOf<Int>() }
        for (i in 0 until w) {
            if (q[i] in 'a'..'z') {
                lsts[q[i] - 'a'].add(i)
            } else if (q[i] in '0'..'9') {
                val num = q[i] - '0'
                val j = w + num
                if (!uf.same(i, j)) {
                    uf.unite(i, j)
                    components--
                }
            }
        }
        for (lst in lsts) {
            for (i in lst.indices) {
                if (!uf.same(lst[i], lst[0])) {
                    uf.unite(lst[i], lst[0])
                    components--
                }
            }
        }
        for (i in w..w + 9) {
            for (j in w until i) {
                if (uf.same(i, j)) {
                    valid = false
                }
            }
        }
        println(if (valid) ModInt(10).pow(components) else ModInt(0))
    }
}

class UnionFind(n: Int) {
    private val rank = IntArray(n) { 0 }
    private val parent = IntArray(n) { -1 }

    fun find(x: Int): Int {
        if (parent[x] < 0) {
            return x
        }
        parent[x] = find(parent[x])
        return parent[x]
    }

    fun unite(x: Int, y: Int) {
        val x1 = find(x)
        val y1 = find(y)
        if (x1 == y1) {
            return
        }
        if (rank[x1] < rank[y1]) {
            parent[y1] += parent[x1]
            parent[x1] = y1
        } else {
            parent[x1] += parent[y1]
            parent[y1] = x1
            if (rank[x1] == rank[y1]) {
                rank[x1]++
            }
        }
    }

    fun same(x: Int, y: Int) = find(x) == find(y)

    fun size(x: Int) = -parent[find(x)]
}

// 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(this)

fun Int.toModInt() = 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

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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