Kotlin Heroes 5: ICPC Round G. Number Deletion Game

• Time : $O(n^2k)$
• Space : $O(nk)$

fun main() {
    val (n, k) = readlnInts()
    val a =	readlnInts().sorted()

    val p = IntArray(n + 1) { 0 }
    for (i in 0 until n) p[i + 1] = p[i] + a[i]

    val dp = Array(n + 1) { IntArray(k + 1) { -1 } }

    dp[0][0] = 0
    for (i in 0 until n) {
        for (j in 0 until k + 1) {
            if (dp[i][j] < 0)
                continue
            dp[i + 1][j] = Math.max(dp[i + 1][j], dp[i][j])
            val ma = Math.min(k - j, (n - i) / 2)
            for (x in 1..ma)
                dp[i + 2 * x][j + x] = Math.max(dp[i + 2 * x][j + x], dp[i][j] + p[i + 2 * x] - p[i + x] - p[i + x] + p[i])
        }
    }

    println(dp[n][k])
}
private fun readln() = readLine()!!
private fun readlnByte() = readln().toByte()
private fun readlnShort() = readln().toShort()
private fun readlnInt() = readln().toInt()
private fun readlnLong() = readln().toLong()
private fun readlnFloat() = readln().toFloat()
private fun readlnDouble() = readln().toDouble()
private fun readlnBigInt(radix: Int = 10) = readln().toBigInteger(radix)
private fun readlnBigDecimal() = readln().toBigDecimal()

private fun lineSequence(limit: Int = Int.MAX_VALUE) = generateSequence { readLine() }.constrainOnce().take(limit)
private fun readlnStrings() = readln().split(' ')
private fun readlnBytes() = readlnStrings().map { it.toByte() }
private fun readlnShorts() = readlnStrings().map { it.toShort() }
private fun readlnInts() = readlnStrings().map { it.toInt() }
private fun readlnLongs() = readlnStrings().map { it.toLong() }
private fun readlnFloats() = readlnStrings().map { it.toFloat() }
private fun readlnDoubles() = readlnStrings().map { it.toDouble() }

private fun readByteArray() = readlnStrings().run { ByteArray(size) { get(it).toByte() } }
private fun readShortArray() = readlnStrings().run { ShortArray(size) { get(it).toShort() } }
private fun readIntArray() = readlnStrings().run { IntArray(size) { get(it).toInt() } }
private fun readLongArray() = readlnStrings().run { LongArray(size) { get(it).toLong() } }
private fun readFloatArray() = readlnStrings().run { FloatArray(size) { get(it).toFloat() } }
private fun readDoubleArray() = readlnStrings().run { DoubleArray(size) { get(it).toDouble() } }

private fun readlnByteArray(n: Int) = ByteArray(n) { readlnByte() }
private fun readlnShortArray(n: Int) = ShortArray(n) { readlnShort() }
private fun readlnIntArray(n: Int) = IntArray(n) { readlnInt() }
private fun readlnLongArray(n: Int) = LongArray(n) { readlnLong() }
private fun readlnFloatArray(n: Int) = FloatArray(n) { readlnFloat() }
private fun readlnDoubleArray(n: Int) = DoubleArray(n) { readlnDouble() }

private fun readByteArray2d(rows: Int, cols: Int) = Array(rows) { readByteArray().also { require(it.size == cols) } }
private fun readShortArray2d(rows: Int, cols: Int) = Array(rows) { readShortArray().also { require(it.size == cols) } }
private fun readLongArray2d(rows: Int, cols: Int) = Array(rows) { readLongArray().also { require(it.size == cols) } }
private fun readIntArray2d(rows: Int, cols: Int) = Array(rows) { readIntArray().also { require(it.size == cols) } }
private fun readFloatArray2d(rows: Int, cols: Int) = Array(rows) { readFloatArray().also { require(it.size == cols) } }
private fun readDoubleArray2d(rows: Int, cols: Int) = Array(rows) { readDoubleArray().also { require(it.size == cols) } }

private fun isWhiteSpace(c: Char) = c in " \r\n\t"

private fun readString() = generateSequence { System.`in`.read().toChar() }
    .dropWhile { isWhiteSpace(it) }.takeWhile { !isWhiteSpace(it) }.joinToString("")
private fun readByte() = readString().toByte()
private fun readShort() = readString().toShort()
private fun readInt() = readString().toInt()
private fun readLong() = readString().toLong()
private fun readFloat() = readString().toFloat()
private fun readDouble() = readString().toDouble()
private fun readBigInt(radix: Int = 10) = readString().toBigInteger(radix)
private fun readBigDecimal() = readString().toBigDecimal()

private fun readBytes(n: Int) = generateSequence { readByte() }.take(n)
private fun readShorts(n: Int) = generateSequence { readShort() }.take(n)
private fun readInts(n: Int) = generateSequence { readInt() }.take(n)
private fun readLongs(n: Int) = generateSequence { readLong() }.take(n)
private fun readFloats(n: Int) = generateSequence { readFloat() }.take(n)
private fun readDoubles(n: Int) = generateSequence { readDouble() }.take(n)