結果

問題 No.957 植林
ユーザー da_louis
提出日時 2021-02-28 23:08:01
言語 Kotlin
(2.1.0)
結果
TLE  
実行時間 -
コード長 22,984 bytes
コンパイル時間 28,078 ms
コンパイル使用メモリ 504,924 KB
実行使用メモリ 116,592 KB
最終ジャッジ日時 2024-10-02 22:39:02
合計ジャッジ時間 48,296 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）
ファイルパターン 結果
sample AC * 3
other AC * 15 TLE * 1 -- * 29
権限があれば一括ダウンロードができます
コンパイルメッセージ
Main.kt:255:13: warning: 'appendln(Int): kotlin.text.StringBuilder /* = java.lang.StringBuilder */' is deprecated. Use appendLine instead. Note that the new method always appends the line feed character '\n' regardless of the system line separator.
            appendln(n)
            ^
Main.kt:288:48: warning: 'toByte(): Byte' is deprecated. Conversion of Char to Number is deprecated. Use Char.code property instead.
    private fun Byte.isNumeric() = this in '0'.toByte()..'9'.toByte()
                                               ^
Main.kt:288:62: warning: 'toByte(): Byte' is deprecated. Conversion of Char to Number is deprecated. Use Char.code property instead.
    private fun Byte.isNumeric() = this in '0'.toByte()..'9'.toByte()
                                                             ^
Main.kt:289:68: warning: 'toByte(): Byte' is deprecated. Conversion of Char to Number is deprecated. Use Char.code property instead.
    private fun Byte.toNumVal() = if (this.isNumeric()) this - '0'.toByte() else error("$this is not numeric")
                                                                   ^
Main.kt:321:22: warning: 'toByte(): Byte' is deprecated. Conversion of Char to Number is deprecated. Use Char.code property instead.
        if (b == '-'.toByte()) {
                     ^
Main.kt:347:22: warning: 'toByte(): Byte' is deprecated. Conversion of Char to Number is deprecated. Use Char.code property instead.
        if (b == '-'.toByte()) {
                     ^
Main.kt:353:22: warning: 'toByte(): Byte' is deprecated. Conversion of Char to Number is deprecated. Use Char.code property instead.
        if (b == '.'.toByte()) {
                     ^

ソースコード

diff #
プレゼンテーションモードにする

import java.io.ByteArrayInputStream
import java.io.ByteArrayOutputStream
import java.io.PrintStream
import java.math.BigInteger
fun main() = if (localEnv && execChecker) checker() else p957()
fun p957() = solve()
@OptIn(ExperimentalStdlibApi::class)
private fun solve() = Messiah_p957(MOD).exec {
    val (h, w) = readInt(2)
    val costs = readLong(h, w)
    val bonusRow = readLong(h)
    val bonusCol = readLong(w)
    // [0,         h * w)        : grid
    // [h * w,     h * w + h)    : row
    // [h * w + h, h * w + h + w): col
    val s = h * w + h + w
    val t = s + 1
    val mf = MaxFlow(t + 1)
    fun gridId(y: Int, x: Int) = y * w + x
    fun rowId(y: Int) = h * w + y
    fun colId(x: Int) = h * w + h + x
    val inf = Long.MAX_VALUE / 3
    for (y in h.indices) for (x in w.indices) {
        val id = gridId(y, x)
        mf.addEdge(s, id, costs[y][x])
        mf.addEdge(id, rowId(y), inf)
        mf.addEdge(id, colId(x), inf)
    }
    for (y in h.indices) mf.addEdge(rowId(y), t, bonusRow[y])
    for (x in w.indices) mf.addEdge(colId(x), t, bonusCol[x])
    debugExec {
        for (edge in mf.edges) {
            debugln("${edge.from} ${edge.to} ${edge.cap}")
        }
    }
    val maxFlow = mf.maxFlow(s, t)
    val bonusSum = bonusRow.sum() + bonusCol.sum()
    val answer = bonusSum - maxFlow
    println(answer)
}
/**
 * convert from [AtCoderLibraryForJava - MaxFlow](https://github.com/NASU41/AtCoderLibraryForJava/blob/3d5e128641057adbce8b4a727bba4079b8fa2c02
     /MinCostFlow/MinCostFlow.java)
 */
private class MaxFlow(private val n: Int) {
    inner class CapEdge internal constructor(val from: Int, val to: Int, var cap: Long, val rev: Int)
    private var m = 0
    val edges: ArrayList<CapEdge> = ArrayList()
    private val count: IntArray = IntArray(n)
    private val g: Array<Array<CapEdge?>> = Array(n) { emptyArray<CapEdge?>() }
    fun addEdge(from: Int, to: Int, cap: Long): Int {
        rangeCheck(from, 0, n)
        rangeCheck(to, 0, n)
        nonNegativeCheck(cap, "Capacity")
        val e = CapEdge(from, to, cap, count[to])
        count[from]++
        count[to]++
        edges.add(e)
        return m++
    }
    fun getEdge(i: Int): CapEdge {
        rangeCheck(i, 0, m)
        return edges[i]
    }
    fun changeEdge(i: Int, newCap: Long, newFlow: Long) {
        rangeCheck(i, 0, m)
        nonNegativeCheck(newCap, "Capacity")
        require(newFlow <= newCap) { String.format("Flow %d is greater than capacity %d.", newCap, newFlow) }
        val e = edges[i]
        val er = g[e.to][e.rev]
        e.cap = newCap - newFlow
        er!!.cap = newFlow
    }
    private fun buildGraph() {
        for (i in 0 until n) {
            g[i] = arrayOfNulls(count[i])
        }
        val idx = IntArray(n)
        for (e in edges) {
            g[e.to][idx[e.to]++] = CapEdge(e.to, e.from, 0, idx[e.from])
            g[e.from][idx[e.from]++] = e
        }
    }
    fun maxFlow(s: Int, t: Int): Long {
        return flow(s, t, INF)
    }
    fun flow(s: Int, t: Int, flowLimit: Long): Long {
        rangeCheck(s, 0, n)
        rangeCheck(t, 0, n)
        buildGraph()
        var flow: Long = 0
        val level = IntArray(n)
        val que = IntArray(n)
        val iter = IntArray(n)
        while (true) {
            java.util.Arrays.fill(level, -1)
            dinicBFS(s, t, level, que)
            if (level[t] < 0) return flow
            java.util.Arrays.fill(iter, 0)
            while (true) {
                val d = dinicDFS(t, s, flowLimit - flow, iter, level)
                if (d <= 0) break
                flow += d
            }
        }
    }
    private fun dinicBFS(s: Int, t: Int, level: IntArray, que: IntArray) {
        var hd = 0
        var tl = 0
        que[tl++] = s
        level[s] = 0
        while (tl > hd) {
            val u = que[hd++]
            for (e in g[u]) {
                val v = e!!.to
                if (e.cap <= 0 || level[v] >= 0) continue
                level[v] = level[u] + 1
                if (v == t) return
                que[tl++] = v
            }
        }
    }
    private fun dinicDFS(cur: Int, s: Int, f: Long, iter: IntArray, level: IntArray): Long {
        if (cur == s) return f
        var res: Long = 0
        while (iter[cur] < count[cur]) {
            val er = g[cur][iter[cur]++]
            val u = er!!.to
            val e = g[u][er.rev]
            if (level[u] >= level[cur] || e!!.cap <= 0) continue
            val d = dinicDFS(u, s, kotlin.math.min(f - res, e.cap), iter, level)
            if (d <= 0) continue
            e.cap -= d
            er.cap += d
            res += d
            if (res == f) break
        }
        return res
    }
    fun fordFulkersonMaxFlow(s: Int, t: Int): Long {
        return fordFulkersonFlow(s, t, INF)
    }
    fun fordFulkersonFlow(s: Int, t: Int, flowLimit: Long): Long {
        rangeCheck(s, 0, n)
        rangeCheck(t, 0, n)
        buildGraph()
        val used = BooleanArray(n)
        var flow: Long = 0
        while (true) {
            java.util.Arrays.fill(used, false)
            val f = fordFulkersonDFS(s, t, flowLimit - flow, used)
            if (f <= 0) return flow
            flow += f
        }
    }
    private fun fordFulkersonDFS(cur: Int, t: Int, f: Long, used: BooleanArray): Long {
        if (cur == t) return f
        used[cur] = true
        for (e in g[cur]) {
            if (used[e!!.to] || e.cap <= 0) continue
            val d = fordFulkersonDFS(e.to, t, kotlin.math.min(f, e.cap), used)
            if (d <= 0) continue
            e.cap -= d
            g[e.to][e.rev]!!.cap += d
            return d
        }
        return 0
    }
    fun minCut(s: Int): BooleanArray {
        rangeCheck(s, 0, n)
        val reachable = BooleanArray(n)
        val stack = IntArray(n)
        var ptr = 0
        stack[ptr++] = s
        reachable[s] = true
        while (ptr > 0) {
            val u = stack[--ptr]
            for (e in g[u]) {
                val v = e!!.to
                if (reachable[v] || e.cap <= 0) continue
                reachable[v] = true
                stack[ptr++] = v
            }
        }
        return reachable
    }
    private fun rangeCheck(i: Int, minInclusive: Int, maxExclusive: Int) {
        if (i < minInclusive || i >= maxExclusive) {
            throw IndexOutOfBoundsException(String.format("Index %d out of bounds for length %d", i, maxExclusive))
        }
    }
    private fun nonNegativeCheck(cap: Long, attribute: String) {
        require(cap >= 0) { String.format("%s %d is negative.", attribute, cap) }
    }
    companion object {
        private const val INF = Long.MAX_VALUE
    }
}
private const val MOD = 1_000_000_007
// region kokokara template dayo (^o^)
private const val execChecker = false
private val localEnv =
    runCatching { "ENABLE_DEBUG_MODE_FOR_COMPETITIVE_PROGRAMING" in System.getenv() }.getOrNull() ?: false
private fun checker() = Messiah_p957(MOD).exec {
    debugln("#######################################################")
    debugln("###############  executing check mode.  ###############")
    debugln("#######################################################")
    fun getOutPut(input: String, action: () -> Unit): String {
        System.setIn(ByteArrayInputStream(input.toByteArray()))
        val sysOut = ByteArrayOutputStream()
        System.setOut(PrintStream(sysOut))
        action()
        return sysOut.toString()
    }
    val wrongCases = mutableSetOf<List<String>>()
    while (wrongCases.size < 10) {
        /*
        examples
        val randomString = (1..20).map { ('a'..'z').random() }.joinToString("")
        val randomNum = Random.nextInt(0,2000)
         */
        val n = 0
        val input = buildString {
            appendln(n)
        }
        val solve = getOutPut(input, ::solve)
        val greedy = getOutPut(input, ::greedy)
        if (solve != greedy && wrongCases.add(listOf(solve, greedy))) {
            debugln("#################### wrong case: ${wrongCases.size} ####################")
            debugln("input:")
            debugln(input)
            debugln("solve:")
            debugln(solve)
            debugln("greedy:")
            debugln(greedy)
        }
    }
}
private fun greedy() = Messiah_p957(MOD).exec {
    TODO()
}
@Suppress("ClassName", "unused", "FunctionName", "PropertyName")
private class Messiah_p957(private val mod: Int) {
    //////////////////////////////////////////////////
    // IO
    //////////////////////////////////////////////////
    private val input = System.`in`
    private val buffer = ByteArray(1024)
    private var pointer = 0
    private var bufferLength = 0
    private val sb = StringBuilder()
    private fun Byte.isPrintable() = this in 33..126
    private fun Byte.isNumeric() = this in '0'.toByte()..'9'.toByte()
    private fun Byte.toNumVal() = if (this.isNumeric()) this - '0'.toByte() else error("$this is not numeric")
    private val lineSeparator: String = System.lineSeparator()
    private fun hasNextByte(): Boolean {
        return if (pointer < bufferLength) true else {
            pointer = 0
            bufferLength = input.read(buffer)
            bufferLength > 0
        }
    }
    private fun readByte(): Byte = if (hasNextByte()) buffer[pointer++] else -1
    private fun skipUnprintable() = run { while (hasNextByte() && !buffer[pointer].isPrintable()) pointer++ }
    private fun hasNext(): Boolean = run { skipUnprintable() }.run { hasNextByte() }
    private fun hasNextOrError() = if (!hasNext()) error("has no next element.") else Unit
    fun readString(): String {
        hasNextOrError()
        val sb = StringBuilder()
        var b = readByte()
        while (b.isPrintable()) {
            sb.appendCodePoint(b.toInt())
            b = readByte()
        }
        return sb.toString()
    }
    fun readLong(): Long {
        hasNextOrError()
        var n = 0L
        var negative = false
        var b = readByte()
        if (b == '-'.toByte()) {
            negative = true
            b = readByte()
        }
        if (!b.isNumeric()) error("$b is not numeric.")
        while (true) {
            when {
                b.isNumeric() -> n = n * 10 + b.toNumVal()
                b.toInt() == -1 || !b.isPrintable() -> return if (negative) -n else n
                else -> error("failed to parse. [n=$n, b=$b]")
            }
            b = readByte()
        }
    }
    fun readInt() = readLong()
        .let { if (it in Int.MIN_VALUE..Int.MAX_VALUE) it.toInt() else error("$it is not in range of Int.") }
    fun readIntAsIndex() = readInt().dec()
    fun readDouble(): Double {
        hasNextOrError()
        var n = 0.0
        var div = 1.0
        var negative = false
        var b = readByte()
        if (b == '-'.toByte()) {
            negative = true
            b = readByte()
        }
        do n = n * 10 + b.toNumVal()
        while (run { b = readByte() }.run { b.isNumeric() })
        if (b == '.'.toByte()) {
            while (run { b = readByte() }.run { b.isNumeric() })
                n += b.toNumVal() / (run { div *= 10 }.run { div })
        }
        return if (negative) -n else n
    }
    fun readString(size: Int): Array<String> = Array(size) { readString() }
    @Suppress("UNUSED_PARAMETER")
    fun readChars(h: Int, w: Int): Array<CharArray> = Array(h) { readString().toCharArray() }
    fun readLong(size: Int): LongArray = LongArray(size) { readLong() }
    fun readLong(h: Int, w: Int): Array<LongArray> = Array(h) { readLong(w) }
    fun readInt(size: Int): IntArray = IntArray(size) { readInt() }
    fun readInt(h: Int, w: Int): Array<IntArray> = Array(h) { readInt(w) }
    fun readIntAsIndex(size: Int): IntArray = IntArray(size) { readIntAsIndex() }
    fun readIntAsIndex(h: Int, w: Int): Array<IntArray> = Array(h) { readIntAsIndex(w) }
    fun readDouble(size: Int): DoubleArray = DoubleArray(size) { readDouble() }
    fun readDouble(h: Int, w: Int): Array<DoubleArray> = Array(h) { readDouble(w) }
    fun readBooleanWithSeparator(size: Int, trueElement: String): BooleanArray =
        BooleanArray(size) { readString() == trueElement }
    fun readBooleanWithSeparator(h: Int, w: Int, trueElement: String): Array<BooleanArray> =
        Array(h) { readBooleanWithSeparator(w, trueElement) }
    @Suppress("UNUSED_PARAMETER")
    fun readBooleanWithoutSeparator(size: Int, trueElement: Char): BooleanArray =
        readString().map { it == trueElement }.toBooleanArray()
    fun readBooleanWithoutSeparator(h: Int, w: Int, trueElement: Char): Array<BooleanArray> =
        Array(h) { readBooleanWithoutSeparator(w, trueElement) }
    fun println(): Unit = run { sb.append(lineSeparator) }
    fun print(any: Any): Unit = run { sb.append(any.toString()) }
    fun println(any: Any): Unit = run { sb.append(any.toString() + lineSeparator) }
    fun flush() = run { kotlin.io.println(sb); sb.clear() }
    fun debug(any: Any): Unit = run { if (localEnv) System.err.print(any) }
    fun debugln(any: Any): Unit = run { if (localEnv) System.err.println(any) }
    fun debugln(): Unit = run { if (localEnv) System.err.println() }
    fun debugExec(action: () -> Unit): Unit = run { if (localEnv) action() }
    fun exec(action: Messiah_p957.() -> Unit) {
        var t: Throwable? = null
        Thread(null, { action() }, "solve", 128 * 1024 * 1024)
            .apply { setUncaughtExceptionHandler { _, t1 -> t = t1 } }
            .apply { start() }.join()
        t?.let { throw it }
        kotlin.io.print(sb)
    }
    fun readLine(): Nothing = error("readLine is disabled.")
    //////////////////////////////////////////////////
    // MOD
    //////////////////////////////////////////////////
    private val modIsPrime: Boolean = MOD.toBigInteger().isProbablePrime(100)
    fun Long.invertMod(): Long = if (modIsPrime) this.powMod(MOD - 2L) else invGcd(this).second
    fun Long.safeMod(): Long = (this % MOD).let { if (it < 0) it + MOD else it }
    fun Long.plusMod(other: Long): Long = this.plus(other).safeMod()
    fun Long.minusMod(other: Long): Long = this.minus(other).safeMod()
    fun Long.timesMod(other: Long): Long = this.times(other).safeMod()
    fun Long.divMod(other: Long): Long = this.times(other.invertMod()).safeMod()
    fun Long.powMod(p: Long): Long {
        var x = this % MOD
        var y = p
        var result = 1L
        while (y > 0) {
            if (y % 2 == 1L) result = (result * x) % MOD
            y = y shr 1
            x = (x * x) % MOD
        }
        return result
    }
    fun Long.powMod(p: Long, m: Int): Long {
        var x = this % m
        var y = p
        var result = 1L
        while (y > 0) {
            if (y % 2 == 1L) result = (result * x) % m
            y = y shr 1
            x = (x * x) % m
        }
        return result
    }
    fun invGcd(a: Long): Pair<Long, Long> {
        val am = a.safeMod()
        if (a == 0L) return MOD.toLong() to 0L
        var s = MOD.toLong()
        var t = am
        var m0 = 0L
        var m1 = 1L
        while (t != 0L) {
            val u = s / t
            s -= t * u
            m0 -= m1 * u
            var temp = s
            s = t
            t = temp
            temp = m0
            m0 = m1
            m1 = temp
        }
        if (m0 < 0) m0 += MOD / s
        return s to m0
    }
    //////////////////////////////////////////////////
    // Misc
    //////////////////////////////////////////////////
    /**
     * `n.indices()` is sugar syntax of `0 until n`.
     */
    val Int.indices: IntRange get() = 0 until this
    /**
     * `[index] in [this]` is sugar syntax of `index in 0 until [this]`.
     */
    operator fun Int.contains(index: Int): Boolean = index in this.indices
    /**
     * `[this].mapIndices { transform }` is sugar syntax of `(0 until [this]).map{ transform(it) }`.
     */
    inline fun <R> Int.mapIndices(transform: (Int) -> R): List<R> = this.indices.map(transform)
    /**
     * `[this].mapIndices(x) { transform }` is sugar syntax of
     * `(0 until [this]).map{ y1-> (0 until [x]).map { x1-> transform(y1,x1) } }`.
     */
    inline fun <R> Int.mapIndices(x: Int, transform: (Int, Int) -> R): List<List<R>> =
        this.mapIndices { y1 -> x.mapIndices { x1 -> transform(y1, x1) } }
    /**
     * `[this].mapIndices(x) { transform }` is sugar syntax of
     * `(0 until [this]).map{ y1-> (0 until [x]).map { x1-> transform(y1,x1) } }`.
     */
    inline fun <R> Int.flatMapIndices(x: Int, transform: (Int, Int) -> R): List<R> =
        this.indices.flatMap { y1 -> x.mapIndices { x1 -> transform(y1, x1) } }
    /**
     * `[this].forEachIndices { transform }` is sugar syntax of `(0 until [this]).map{ transform(it) }`.
     */
    inline fun Int.forEachIndices(transform: (Int) -> Unit): Unit = this.indices.forEach(transform)
    /**
     * `[this].forEachIndices(x) { transform }` is sugar syntax of
     * `(0 until [this]).map{ y1-> (0 until [x]).map { x1-> transform(y1,x1) } }`.
     */
    inline fun Int.forEachIndices(x: Int, transform: (Int, Int) -> Unit): Unit =
        this.forEachIndices { y1 -> x.forEachIndices { x1 -> transform(y1, x1) } }
    /**
     * 正の方向へ丸める割り算
     */
    fun Int.ceilDiv(b: Int): Int = this.also { check(b != 0) }.run {
        when {
            b < 0 -> (-this).ceilDiv(-b)
            this > 0 -> ((this + b - 1) / b)
            else -> (this / b)
        }
    }
    /**
     * 負の方向へ丸める割り算
     */
    fun Int.floorDiv(b: Int): Int = -(-this).ceilDiv(b)
    /**
     * 正の方向へ丸める割り算
     */
    fun Long.ceilDiv(b: Long): Long = this.also { check(b != 0L) }.run {
        when {
            b < 0 -> (-this).ceilDiv(-b)
            this > 0 -> ((this + b - 1) / b)
            else -> (this / b)
        }
    }
    /**
     * 負の方向へ丸める割り算
     */
    fun Long.floorDiv(b: Long): Long = -(-this).ceilDiv(b)
    /**
     * 0から離れている方向の[b]の倍数へ切り上げる
     */
    fun Long.ceilMultipleOf(b: Long): Long = this / b * b + if (this % b == 0L) 0L else b
    /**
     * get characters numeric value.
     * e.g.: '0' to 0
     */
    fun Char.toNumericValue(): Int = this - '0'
    fun Char.caseToIndexedValue(): Int = this - 'a'
    fun String.toPoweredLong(p: Int): Long {
        check(this.isNotBlank())
        if (this[0] == '-') return -this.drop(1).toPoweredLong(p)
        var mulI = 1L
        repeat(p) { mulI *= 10 }
        val i = this.indexOf('.').takeIf { it != -1 } ?: return this.toLong() * mulI
        var mulD = 1L
        repeat(p - this.length + i + 1) { mulD *= 10 }
        return this.slice(0 until i).toLong() * mulI + this.slice(i + 1..this.lastIndex).toLong() * mulD
    }
    fun String.toBigIntegerWithBase(base: BigInteger): BigInteger {
        var sum = BigInteger.ZERO
        var bs = BigInteger.ONE
        for (c in this.reversed()) {
            sum += bs * (Character.getNumericValue(c)).toBigInteger()
            bs *= base
        }
        return sum
    }
    /**
     * make triple. e.g.:`1 to 2 to 3`
     */
    infix fun <A, B, C> Pair<A, B>.to(c: C): Triple<A, B, C> = Triple(this.first, this.second, c)
    fun YesNo(b: Boolean): String = if (b) Yes else No
    val Yes = "Yes"
    val No = "No"
    fun YES_NO(b: Boolean): String = if (b) YES else NO
    val YES = "YES"
    val NO = "NO"
    fun IntArray.swap(a: Int, b: Int): Unit = run { val temp = this[a]; this[a] = this[b]; this[b] = temp }
    fun LongArray.swap(a: Int, b: Int): Unit = run { val temp = this[a]; this[a] = this[b]; this[b] = temp }
    fun CharArray.swap(a: Int, b: Int): Unit = run { val temp = this[a]; this[a] = this[b]; this[b] = temp }
    fun <T> Array<T>.swap(a: Int, b: Int): Unit = run { val temp = this[a]; this[a] = this[b]; this[b] = temp }
    fun <T> MutableList<T>.swap(a: Int, b: Int): Unit = run { val temp = this[a]; this[a] = this[b]; this[b] = temp }
    fun IntArray.changeMinOf(i: Int, v: Int): Boolean = run { if (this[i] > v) run { this[i] = v; true } else false }
    fun IntArray.changeMaxOf(i: Int, v: Int): Boolean = run { if (this[i] < v) run { this[i] = v; true } else false }
    fun LongArray.changeMinOf(i: Int, v: Long): Boolean = run { if (this[i] > v) run { this[i] = v; true } else false }
    fun LongArray.changeMaxOf(i: Int, v: Long): Boolean = run { if (this[i] < v) run { this[i] = v; true } else false }
    fun Array<IntArray>.changeMinOf(i: Int, j: Int, v: Int): Boolean = this[i].changeMinOf(j, v)
    fun Array<IntArray>.changeMaxOf(i: Int, j: Int, v: Int): Boolean = this[i].changeMaxOf(j, v)
    fun Array<LongArray>.changeMinOf(i: Int, j: Int, v: Long): Boolean = this[i].changeMinOf(j, v)
    fun Array<LongArray>.changeMaxOf(i: Int, j: Int, v: Long): Boolean = this[i].changeMaxOf(j, v)
    fun Array<Array<IntArray>>.changeMinOf(i: Int, j: Int, k: Int, v: Int): Boolean = this[i].changeMinOf(j, k, v)
    fun Array<Array<IntArray>>.changeMaxOf(i: Int, j: Int, k: Int, v: Int): Boolean = this[i].changeMaxOf(j, k, v)
    fun Array<Array<LongArray>>.changeMinOf(i: Int, j: Int, k: Int, v: Long): Boolean = this[i].changeMinOf(j, k, v)
    fun Array<Array<LongArray>>.changeMaxOf(i: Int, j: Int, k: Int, v: Long): Boolean = this[i].changeMaxOf(j, k, v)
    /**
     * same usage as `IntArray.scan`, but it will faster than that.
     */
    inline fun IntArray.scanArray(initial: Int, operation: (acc: Int, Int) -> Int): IntArray {
        val accumulator = IntArray(this.size + 1).apply { this[0] = initial }
        for (i in this.indices) accumulator[i + 1] = operation(accumulator[i], this[i])
        return accumulator
    }
    /**
     * same usage as `LongArray.scan`, but it will faster than that.
     */
    inline fun LongArray.scanArray(initial: Long, operation: (acc: Long, Long) -> Long): LongArray {
        val accumulator = LongArray(this.size + 1).apply { this[0] = initial }
        for (i in this.indices) accumulator[i + 1] = operation(accumulator[i], this[i])
        return accumulator
    }
    /**
     * same usage as `IntArray.scanReduce`, but it will faster than that.
     */
    inline fun IntArray.scanReduceArray(operation: (acc: Int, Int) -> Int): IntArray {
        val accumulator = IntArray(this.size).apply { this[0] = this@scanReduceArray[0] }
        for (i in 1..this.lastIndex) accumulator[i] = operation(accumulator[i - 1], this[i])
        return accumulator
    }
    /**
     * same usage as `LongArray.scanReduce`, but it will faster than that.
     */
    inline fun LongArray.scanReduceArray(operation: (acc: Long, Long) -> Long): LongArray {
        val accumulator = LongArray(this.size).apply { this[0] = this@scanReduceArray[0] }
        for (i in 1..this.lastIndex) accumulator[i] = operation(accumulator[i - 1], this[i])
        return accumulator
    }
}
// endregion kokomade template dayo (^o^)
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