import macros;macro ImportExpand(s:untyped):untyped = parseStmt($s[2]) # {.checks: off.} ImportExpand "cplib/tmpl/citrus.nim" <=== "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 const INF* = 100100111\n const INFL* = int(3300300300300300491)\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.. 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 = INFL): 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 #[ include cplib/math/isqrt ]#\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 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" ImportExpand "cplib/utils/bititers.nim" <=== "when not declared CPLIB_UTILS_BITITERS:\n const CPLIB_UTILS_BITITERS* = 1\n import bitops\n iterator bitcomb*(n, r: int): int =\n ##n bit中 r bitが1であるようなbit列を列挙します。\n var x = (1 shl r)-1\n while true:\n yield x\n var t = x or (x-1)\n x = (t+1) or (((not t and - not t) - 1) shr (x.countTrailingZeroBits() + 1))\n if x >= (1 shl n):\n break\n\n iterator bitsubseteq*(bits: int): int =\n ##与えられた集合の部分集合を昇順で列挙します。与えられた集合も含みます。\n var i = 0\n while true:\n yield i\n if bits == i:\n break\n i = (i-bits) and bits\n iterator bitsubset*(bits: int): int =\n ##与えられた集合の部分集合を昇順で列挙します。与えられた集合は含みません。\n var i = 0\n while true:\n yield i\n i = (i-bits) and bits\n if bits == i:\n break\n iterator bitsubseteq_descending*(bits: int): int =\n ##与えられた集合の部分集合を降順で列挙します。与えられた集合も含みます。\n var i = bits\n while true:\n yield i\n if i == 0:\n break\n i = (i-1) and bits\n iterator bitsubset_descending*(bits: int): int =\n ##与えられた集合の部分集合を降順で列挙します。与えられた集合は含みません。\n var i = bits\n while true:\n i = (i-1) and bits\n yield i\n if i == 0:\n break\n\n\n iterator bitsuperseteq*(bits, n: int): int =\n ## 与えられた集合を包含する集合(上位集合)を列挙します。与えられた集合も含みます。bit数上限をnとします。\n var i = bits\n while true:\n yield i\n i = (i+1) or bits\n if i >= (1 shl n):\n break\n iterator bitsuperset*(bits, n: int): int =\n ## 与えられた集合を包含する集合(上位集合)を列挙します。与えられた集合は含みません。bit数上限をnとします。\n var i = bits\n while true:\n i = (i+1) or bits\n if i >= (1 shl n):\n break\n yield i\n\n\n iterator bitsingleton*(bits: int): int =\n ##立っているbitを一つずつ取り出します。\n var i = bits and (-bits)\n while true:\n yield i\n i = i and (not bits + (i shl 1))\n if i == 0:\n break\n\n iterator standingbits*(bits: int): int =\n #bits & (1<