結果

問題 No.1030 だんしんぐぱーりない
ユーザー yakamotoyakamoto
提出日時 2020-04-26 01:01:37
言語 Kotlin
(1.9.23)
結果
AC  
実行時間 1,159 ms / 2,000 ms
コード長 6,466 bytes
コンパイル時間 16,570 ms
コンパイル使用メモリ 467,192 KB
実行使用メモリ 104,192 KB
最終ジャッジ日時 2024-04-25 21:32:58
合計ジャッジ時間 53,708 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 261 ms
54,368 KB
testcase_01 AC 263 ms
54,516 KB
testcase_02 AC 259 ms
54,496 KB
testcase_03 AC 255 ms
54,476 KB
testcase_04 AC 267 ms
54,468 KB
testcase_05 AC 1,016 ms
101,556 KB
testcase_06 AC 943 ms
98,288 KB
testcase_07 AC 808 ms
93,060 KB
testcase_08 AC 811 ms
94,704 KB
testcase_09 AC 1,021 ms
100,708 KB
testcase_10 AC 685 ms
90,808 KB
testcase_11 AC 954 ms
99,980 KB
testcase_12 AC 857 ms
97,912 KB
testcase_13 AC 852 ms
96,268 KB
testcase_14 AC 1,020 ms
101,780 KB
testcase_15 AC 737 ms
91,952 KB
testcase_16 AC 871 ms
101,820 KB
testcase_17 AC 870 ms
96,120 KB
testcase_18 AC 1,000 ms
101,672 KB
testcase_19 AC 763 ms
93,072 KB
testcase_20 AC 801 ms
95,932 KB
testcase_21 AC 830 ms
94,480 KB
testcase_22 AC 803 ms
95,900 KB
testcase_23 AC 887 ms
95,584 KB
testcase_24 AC 838 ms
92,928 KB
testcase_25 AC 885 ms
95,800 KB
testcase_26 AC 704 ms
87,812 KB
testcase_27 AC 765 ms
89,616 KB
testcase_28 AC 931 ms
104,192 KB
testcase_29 AC 741 ms
97,348 KB
testcase_30 AC 728 ms
95,788 KB
testcase_31 AC 769 ms
96,008 KB
testcase_32 AC 918 ms
99,672 KB
testcase_33 AC 954 ms
100,232 KB
testcase_34 AC 708 ms
90,916 KB
testcase_35 AC 1,080 ms
103,976 KB
testcase_36 AC 1,089 ms
104,044 KB
testcase_37 AC 1,137 ms
104,044 KB
testcase_38 AC 1,159 ms
103,812 KB
testcase_39 AC 1,104 ms
104,040 KB
testcase_40 AC 267 ms
54,552 KB
testcase_41 AC 270 ms
54,452 KB
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:56:11: warning: expected performance impact from inlining is insignificant. Inlining works best for functions with parameters of functional types
  private inline fun contains(a: Int, x: Int): Boolean = a < x
          ^

ソースコード

diff # 

import java.io.BufferedReader
import java.io.InputStream
import java.io.InputStreamReader
import java.util.*
import kotlin.math.abs
import kotlin.math.max
import kotlin.math.min

fun packDGraph(n: Int, from: IntArray, to: IntArray): Array<IntArray> {
  val p = IntArray(n)
  val m = from.size
  for (i in 0 until m) {
    ++p[from[i]]
  }
  val g = Array(n){IntArray(p[it])}
  for (i in 0 until m) {
    g[from[i]][--p[from[i]]] = to[i]
  }
  return g
}
class SegmentTree(n: Int, val zero: Int, val f: (Int, Int) -> Int) {
  private val N =
    if (Integer.highestOneBit(n) == n) n
    else Integer.highestOneBit(n) shl 1

  private val dat = IntArray(2 * N){zero}

  fun update(i: Int, a: Int) {
    var ix = i + N
    dat[ix] = a
    while(ix > 1) {
      dat[ix shr 1] = f(dat[ix], dat[ix xor 1])
      ix = ix shr 1
    }
  }

  /**
   * [a, b)
   */
  fun query(a: Int, b: Int): Int {
    var res: Int = zero
    var left = a + N
    var right = b - 1 + N

    while(left <= right) {
      if ((left and 1) == 1) res = f(res, dat[left])
      if ((right and 1) == 0) res = f(res, dat[right])
      left = (left + 1) shr 1 // 右の子供なら右の親に移動
      right = (right - 1) shr 1 // 左の子供なら左の親に移動
    }

    return res
  }

  // 条件を満たすか。maxなら '>' minなら '<' が使える
  private inline fun contains(a: Int, x: Int): Boolean = a < x
  /**
   * @param x 左右どちらからか最初に a < x になる場所を探す
   * @param [a, b) 調べる範囲
   * @return -1
   */
  fun find(x: Int, a: Int = 0, b: Int = N, k: Int = 1, l: Int = 0, r: Int = N): Int {
    if (a >= r || l >= b) return -1// ノードが範囲からはずれてる
    if (!contains(dat[k], x)) return -1
    if (l + 1 == r) return l // 0-indexed

    val m = (l + r) / 2
    val lft = k * 2
    val rgt = lft + 1

    // 左から探す。右から探したい場合は左右を逆にすればいい
    val ans = find(x, a, b, lft, l, m)
    if (ans != -1) return ans
    return find(x, a, b, rgt, m, r)
  }
}
/**
 * (dist, parent, queue)
 */
fun traceBfs(g: Array<IntArray>, rt: Int = 0): Array<IntArray> {
  val n = g.size
  val q = IntArray(n)
  val d = IntArray(n)
  val p = IntArray(n){-2}
  var cur = 0
  var last = 1
  p[0] = -1
  q[0] = rt
  d[rt] = 0
  while (cur < last) {
    val v = q[cur++]
    for (u in g[v]) {
      if (p[u] == -2) {
        p[u] = v
        q[last++] = u
        d[u] = d[v] + 1
      }
    }
  }
  return arrayOf(d, p, q)
}

class LCA(N: Int, val dist: IntArray, par: IntArray, val K: Int) {
  private val anc = Array(K){IntArray(N)}
  init {
    for (u in 0 until N) {
      anc[0][u] = if (dist[u] == 0) u else par[u]
    }
    for (k in 1 until K) {
      for (u in 0 until N) {
        anc[k][u] = anc[k - 1][anc[k - 1][u]]
      }
    }
  }

  tailrec fun up(u: Int, d: Int, k: Int): Int {
    if (d == 0) return u
    else if (d % 2 == 1) return up(anc[k][u], d / 2, k + 1)
    else return up(u, d / 2, k + 1)
  }

  fun lca(uu: Int, vv: Int): Int {
    val d = min(dist[uu], dist[vv])
    var u = up(uu, dist[uu] - d , 0)
    var v = up(vv, dist[vv] - d, 0)
    if (u == v) return u
    for (k in K - 1 downTo 0) {
      if (anc[k][u] != anc[k][v]) {
        u = anc[k][u]
        v = anc[k][v]
      }
    }
    return anc[0][u]
  }
}

class Solver(stream: InputStream, private val out: java.io.PrintWriter) {
  fun solve() {
    val N = ni()
    val K = ni()
    val Q = ni()
    val C = na(N)
    val A = na(K, -1)
    val (from, to) = na2(N - 1, -1)
    val g = packDGraph(N, to, from)
    val ZERO = -2

    val mx = IntArray(N){C[it]}
    val (dist, par, que) = traceBfs(g)
    for (u in que) {
      for (v in g[u]) {
        mx[v] = max(mx[v], mx[u])
      }
    }
    debug(mx)
    val lca = LCA(N, dist, par, 20)

    if(isDebug) {
      for (i in 0 until N - 1) {
        for (j in i + 1 until N) {
          debug{"lca($i, $j)=${lca.lca(i ,j)}"}
        }
      }
    }

    val t = SegmentTree(K, ZERO){ a, b ->
      val res = if (a == ZERO) b
      else if (b == ZERO) a
      else lca.lca(a, b)
      debug{"f($a, $b)=$res"}
      res
    }

    for (i in 0 until K) {
      t.update(i, A[i])
    }

    for (i in 0 until Q) {
      if (ni() ==  1) {
        val x = ni() - 1
        val y = ni() - 1
        debug{"x:$x y:$y"}
        t.update(x, y)
      } else {
        val l = ni() - 1
        val r = ni()
        val anc = t.query(l, r)
        debug{"$l $r $anc"}
        out.println(mx[anc])
      }
    }
  }













































  private val isDebug = try {
    // なんか本番でエラーでる
    System.getenv("MY_DEBUG") != null
  } catch (t: Throwable) {
    false
  }

  private var tokenizer: StringTokenizer? = null
  private val reader = BufferedReader(InputStreamReader(stream), 32768)
  private fun next(): String {
    while (tokenizer == null || !tokenizer!!.hasMoreTokens()) {
      tokenizer = StringTokenizer(reader.readLine())
    }
    return tokenizer!!.nextToken()
  }

  private fun ni() = next().toInt()
  private fun nl() = next().toLong()
  private fun ns() = next()
  private fun na(n: Int, offset: Int = 0): IntArray {
    return map(n) { ni() + offset }
  }
  private fun nal(n: Int, offset: Int = 0): LongArray {
    val res = LongArray(n)
    for (i in 0 until n) {
      res[i] = nl() + offset
    }
    return res
  }

  private fun na2(n: Int, offset: Int = 0): Array<IntArray> {
    val a  = Array(2){IntArray(n)}
    for (i in 0 until n) {
      for (e in a) {
        e[i] = ni() + offset
      }
    }
    return a
  }

  private inline fun map(n: Int, f: (Int) -> Int): IntArray {
    val res = IntArray(n)
    for (i in 0 until n) {
      res[i] = f(i)
    }
    return res
  }

  private inline fun debug(msg: () -> String) {
    if (isDebug) System.err.println(msg())
  }

  private fun debug(a: LongArray) {
    debug { a.joinToString(" ") }
  }

  private fun debug(a: IntArray) {
    debug { a.joinToString(" ") }
  }

  private fun debug(a: BooleanArray) {
    debug { a.map { if (it) 1 else 0 }.joinToString("") }
  }

  private fun debugDim(A: Array<IntArray>) {
    if (isDebug) {
      for (a in A) {
        debug(a)
      }
    }
  }

  /**
   * 勝手にimport消されるのを防ぎたい
   */
  private fun hoge() {
    min(1, 2)
    max(1, 2)
    abs(-10)
  }
}

fun main() {
  val out = java.io.PrintWriter(System.out)
  Solver(System.`in`, out).solve()
  out.flush()
}
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