結果
| 問題 |
No.3134 二分探索木
|
| ユーザー |
👑  seekworser
|
| 提出日時 | 2025-05-02 21:47:27 |
| 言語 | Nim (2.2.0) |
| 結果 |
AC
|
| 実行時間 | 157 ms / 2,000 ms |
| コード長 | 12,820 bytes |
| コンパイル時間 | 5,243 ms |
| コンパイル使用メモリ | 92,720 KB |
| 実行使用メモリ | 44,932 KB |
| 最終ジャッジ日時 | 2025-05-02 21:47:37 |
| 合計ジャッジ時間 | 8,005 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge5 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 5 |
| other | AC * 15 |
ソースコード
import macros;macro ImportExpand(s:untyped):untyped = parseStmt($s[2])
# source: https://github.com/kemuniku/cplib/tree/main/src/cplib/tmpl/citrus.nim
ImportExpand "cplib/tmpl/citrus" <=== "when not declared CPLIB_TMPL_CITRUS:\n const CPLIB_TMPL_CITRUS* = 1\n {.warning[UnusedImport]: off.}\n {.hint[XDeclaredButNotUsed]: off.}\n import os\n import algorithm\n import sequtils\n import tables\n import macros\n import std/math\n import sets\n import strutils\n import strformat\n import sugar\n import streams\n import deques\n import bitops\n import heapqueue\n import options\n import hashes\n const MODINT998244353* = 998244353\n const MODINT1000000007* = 1000000007\n when not declared CPLIB_UTILS_CONSTANTS:\n const CPLIB_UTILS_CONSTANTS* = 1\n const INF32*: int32 = 1001000027.int32\n const INF64*: int = int(3300300300300300491)\n \n const INFL = INF64\n type double* = float64\n let readNext = iterator(getsChar: bool = false): string {.closure.} =\n while true:\n var si: string\n try: si = stdin.readLine\n except EOFError: yield \"\"\n for s in si.split:\n if getsChar:\n for i in 0..<s.len():\n yield s[i..i]\n else:\n if s.isEmptyOrWhitespace: continue\n yield s\n proc input*(t: typedesc[string]): string = readNext()\n proc input*(t: typedesc[char]): char = readNext(true)[0]\n proc input*(t: typedesc[int]): int = readNext().parseInt\n proc input*(t: typedesc[float]): float = readNext().parseFloat\n macro input*(t: typedesc, n: varargs[int]): untyped =\n var repStr = \"\"\n for arg in n:\n repStr &= &\"({arg.repr}).newSeqWith \"\n parseExpr(&\"{repStr}input({t})\")\n macro input*(ts: varargs[auto]): untyped =\n var tupStr = \"\"\n for t in ts:\n tupStr &= &\"input({t.repr}),\"\n parseExpr(&\"({tupStr})\")\n macro input*(n: int, ts: varargs[auto]): untyped =\n for typ in ts:\n if typ.typeKind != ntyAnything:\n error(\"Expected typedesc, got \" & typ.repr, typ)\n parseExpr(&\"({n.repr}).newSeqWith input({ts.repr})\")\n proc `fmtprint`*(x: int or string or char or bool): string = return $x\n proc `fmtprint`*(x: float or float32 or float64): string = return &\"{x:.16f}\"\n proc `fmtprint`*[T](x: seq[T] or Deque[T] or HashSet[T] or set[T]): string = return x.toSeq.join(\" \")\n proc `fmtprint`*[T, N](x: array[T, N]): string = return x.toSeq.join(\" \")\n proc `fmtprint`*[T](x: HeapQueue[T]): string =\n var q = x\n while q.len != 0:\n result &= &\"{q.pop()}\"\n if q.len != 0: result &= \" \"\n proc `fmtprint`*[T](x: CountTable[T]): string =\n result = x.pairs.toSeq.mapIt(&\"{it[0]}: {it[1]}\").join(\" \")\n proc `fmtprint`*[K, V](x: Table[K, V]): string =\n result = x.pairs.toSeq.mapIt(&\"{it[0]}: {it[1]}\").join(\" \")\n proc print*(prop: tuple[f: File, sepc: string, endc: string, flush: bool], args: varargs[string, `fmtprint`]) =\n for i in 0..<len(args):\n prop.f.write(&\"{args[i]}\")\n if i != len(args) - 1: prop.f.write(prop.sepc) else: prop.f.write(prop.endc)\n if prop.flush: prop.f.flushFile()\n proc print*(args: varargs[string, `fmtprint`]) = print((f: stdout, sepc: \" \", endc: \"\\n\", flush: false), args)\n const LOCAL_DEBUG{.booldefine.} = false\n macro getSymbolName(x: typed): string = x.toStrLit\n macro debug*(args: varargs[untyped]): untyped =\n when LOCAL_DEBUG:\n result = newNimNode(nnkStmtList, args)\n template prop(e: string = \"\"): untyped = (f: stderr, sepc: \"\", endc: e, flush: true)\n for i, arg in args:\n if arg.kind == nnkStrLit:\n result.add(quote do: print(prop(), \"\\\"\", `arg`, \"\\\"\"))\n else:\n result.add(quote do: print(prop(\": \"), getSymbolName(`arg`)))\n result.add(quote do: print(prop(), `arg`))\n if i != args.len - 1: result.add(quote do: print(prop(), \", \"))\n else: result.add(quote do: print(prop(), \"\\n\"))\n else:\n return (quote do: discard)\n proc `%`*(x: SomeInteger, y: SomeInteger): int =\n result = x mod y\n if y > 0 and result < 0: result += y\n if y < 0 and result > 0: result += y\n proc `//`*(x: SomeInteger, y: SomeInteger): int =\n result = x div y\n if y > 0 and result * y > x: result -= 1\n if y < 0 and result * y < x: result -= 1\n proc `^`*(x: SomeInteger, y: SomeInteger): int = x xor y\n proc `&`*(x: SomeInteger, y: SomeInteger): int = x and y\n proc `|`*(x: SomeInteger, y: SomeInteger): int = x or y\n proc `>>`*(x: SomeInteger, y: SomeInteger): int = x shr y\n proc `<<`*(x: SomeInteger, y: SomeInteger): int = x shl y\n proc `%=`*(x: var SomeInteger, y: SomeInteger): void = x = x % y\n proc `//=`*(x: var SomeInteger, y: SomeInteger): void = x = x // y\n proc `^=`*(x: var SomeInteger, y: SomeInteger): void = x = x ^ y\n proc `&=`*(x: var SomeInteger, y: SomeInteger): void = x = x & y\n proc `|=`*(x: var SomeInteger, y: SomeInteger): void = x = x | y\n proc `>>=`*(x: var SomeInteger, y: SomeInteger): void = x = x >> y\n proc `<<=`*(x: var SomeInteger, y: SomeInteger): void = x = x << y\n proc `[]`*(x, n: int): bool = (x and (1 shl n)) != 0\n proc `[]=`*(x: var int, n: int, i: bool) =\n if i: x = x or (1 << n)\n else: (if x[n]: x = x xor (1 << n))\n proc pow*(a, n: int, m = INF64): int =\n var\n rev = 1\n a = a\n n = n\n while n > 0:\n if n % 2 != 0: rev = (rev * a) mod m\n if n > 1: a = (a * a) mod m\n n >>= 1\n return rev\n when not declared CPLIB_MATH_ISQRT:\n const CPLIB_MATH_ISQRT* = 1\n proc isqrt*(n: int): int =\n var x = n\n var y = (x + 1) shr 1\n while y < x:\n x = y\n y = (x + n div x) shr 1\n return x\n \n proc chmax*[T](x: var T, y: T): bool {.discardable.} = (if x < y: (x = y; return true; ) return false)\n proc chmin*[T](x: var T, y: T): bool {.discardable.} = (if x > y: (x = y; return true; ) return false)\n proc `max=`*[T](x: var T, y: T) = x = max(x, y)\n proc `min=`*[T](x: var T, y: T) = x = min(x, y)\n proc at*(x: char, a = '0'): int = int(x) - int(a)\n proc Yes*(b: bool = true): void = print(if b: \"Yes\" else: \"No\")\n proc No*(b: bool = true): void = Yes(not b)\n proc YES_upper*(b: bool = true): void = print(if b: \"YES\" else: \"NO\")\n proc NO_upper*(b: bool = true): void = Yes_upper(not b)\n const DXY* = [(0, -1), (0, 1), (-1, 0), (1, 0)]\n const DDXY* = [(1, -1), (1, 0), (1, 1), (0, -1), (0, 1), (-1, -1), (-1, 0), (-1, 1)]\n macro exit*(statement: untyped): untyped = (quote do: (`statement`; quit()))\n proc initHashSet[T](): Hashset[T] = initHashSet[T](0)\n"
# source: https://github.com/kemuniku/cplib/tree/main/src/cplib/collections/segtree.nim
ImportExpand "cplib/collections/segtree" <=== "when not declared CPLIB_COLLECTIONS_SEGTREE:\n const CPLIB_COLLECTIONS_SEGTREE* = 1\n import algorithm\n import strutils\n import sequtils\n type SegmentTree*[T] = ref object\n default: T\n merge: proc(x: T, y: T): T\n arr*: seq[T]\n lastnode: int\n length: int\n proc initSegmentTree*[T](v: seq[T], merge: proc(x: T, y: T): T, default: T): SegmentTree[T] =\n var lastnode = 1\n while lastnode < len(v):\n lastnode*=2\n var arr = newSeq[T](2*lastnode)\n arr.fill(default)\n var self = SegmentTree[T](default: default, merge: merge, arr: arr, lastnode: lastnode, length: len(v))\n #1-indexedで作成する\n for i in 0..<len(v):\n self.arr[self.lastnode+i] = v[i]\n for i in countdown(lastnode-1, 1):\n self.arr[i] = self.merge(self.arr[2*i], self.arr[2*i+1])\n return self\n proc initSegmentTree*[T](n: int, merge: proc(x: T, y: T): T, default: T): SegmentTree[T] =\n initSegmentTree(newSeqWith(n, default), merge, default)\n\n proc update*[T](self: SegmentTree[T], x: Natural, val: T) =\n assert x < self.length\n var x = x\n x += self.lastnode\n self.arr[x] = val\n while x > 1:\n x = x shr 1\n self.arr[x] = self.merge(self.arr[2*x], self.arr[2*x+1])\n proc get*[T](self: SegmentTree[T], q_left: Natural, q_right: Natural): T =\n assert q_left <= q_right and 0 <= q_left and q_right <= self.length\n var q_left = q_left\n var q_right = q_right\n q_left += self.lastnode\n q_right += self.lastnode\n var (lres, rres) = (self.default, self.default)\n while q_left < q_right:\n if (q_left and 1) > 0:\n lres = self.merge(lres, self.arr[q_left])\n q_left += 1\n if (q_right and 1) > 0:\n q_right -= 1\n rres = self.merge(self.arr[q_right], rres)\n q_left = q_left shr 1\n q_right = q_right shr 1\n return self.merge(lres, rres)\n proc get*[T](self: SegmentTree[T], segment: HSlice[int, int]): T =\n assert segment.a <= segment.b + 1 and 0 <= segment.a and segment.b+1 <= self.length\n return self.get(segment.a, segment.b+1)\n proc `[]`*[T](self: SegmentTree[T], segment: HSlice[int, int]): T = self.get(segment)\n proc `[]`*[T](self: SegmentTree[T], index: Natural): T =\n assert index < self.length\n return self.arr[index+self.lastnode]\n proc `[]=`*[T](self: SegmentTree[T], index: Natural, val: T) =\n assert index < self.length\n self.update(index, val)\n proc get_all*[T](self: SegmentTree[T]): T =\n return self.arr[1]\n proc len*[T](self: SegmentTree[T]): int =\n return self.length\n proc `$`*[T](self: SegmentTree[T]): string =\n var s = self.arr.len div 2\n return self.arr[s..<s+self.len].join(\" \")\n template newSegWith*(V, merge, default: untyped): untyped =\n initSegmentTree[typeof(default)](V, proc (l{.inject.}, r{.inject.}: typeof(default)): typeof(default) = merge, default)\n proc max_right*[T](self: SegmentTree[T], l: int, f: proc(l: T): bool): int =\n assert 0 <= l and l <= self.len\n assert f(self.default)\n if l == self.len: return self.len\n var l = l + self.lastnode\n var sm = self.default\n while true:\n while l mod 2 == 0: l = (l shr 1)\n if not f(self.merge(sm, self.arr[l])):\n while l < self.lastnode:\n l *= 2\n if f(self.merge(sm, self.arr[l])):\n sm = self.merge(sm, self.arr[l])\n l += 1\n return l - self.lastnode\n sm = self.merge(sm, self.arr[l])\n l += 1\n if (l and -l) == l: break\n return self.len\n proc min_left*[T](self: SegmentTree[T], r: int, f: proc(l: T): bool): int =\n assert 0 <= r and r <= self.len\n assert f(self.default)\n if r == 0: return 0\n var r = r + self.lastnode\n var sm = self.default\n while true:\n r -= 1\n while ((r > 1) and (r mod 2 != 0)): r = (r shr 1)\n if not f(self.merge(self.arr[r], sm)):\n while r < self.lastnode:\n r = 2 * r + 1\n if f(self.merge(self.arr[r], sm)):\n sm = self.merge(self.arr[r], sm)\n r -= 1\n return r + 1 - self.lastnode\n sm = self.merge(self.arr[r], sm)\n if (r and -r) == r: break\n return 0\n"
# {.checks: off.}
var n = input(int)
var p = input(int, n).mapit(it-1)
var pi = (0..<n).toseq.sortedByIt(p[it])
var seg = newSegWith(pi, min(l, r), INFL)
var l = newSeqWith(n, -1)
var r = newSeqWith(n, -1)
proc calc_root(li, ri: int): int =
if ri - li <= 0: return -1
var mn = seg[li..<ri]
var u = p[mn]
debug(li, ri, u)
l[u] = calc_root(li, u)
r[u] = calc_root(u + 1, ri)
return u
var root = calc_root(0, n)
var b = newSeqWith(n, 0)
var c = newSeqWith(n, 0)
proc dfs(u, d: int): int =
b[pi[u]] = d
if l[u] != -1: c[pi[u]] += dfs(l[u], d+1)
if r[u] != -1: c[pi[u]] += dfs(r[u], d+1)
return c[pi[u]] + 1
discard dfs(root, 0)
print(b)
print(c)