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    #[ include cplib/utils/infl ]#\n    when not declared CPLIB_UTILS_INFL:\n        const CPLIB_UTILS_INFL* = 1\n        const INFi32* = 100100111.int32\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..<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 = 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/collections/unionfind.nim" <=== "when not declared CPLIB_COLLECTIONS_UNIONFIND:\n    const CPLIB_COLLECTIONS_UNIONFIND* = 1\n    import algorithm\n    import sequtils\n    type UnionFind = ref object\n        count*: int\n        par_or_siz: seq[int]\n    proc initUnionFind*(N: int): UnionFind =\n        result = UnionFind(count: N, par_or_siz: newSeqwith(N, -1))\n    proc root*(self: UnionFind, x: int): int =\n        if self.par_or_siz[x] < 0:\n            return x\n        else:\n            self.par_or_siz[x] = self.root(self.par_or_siz[x])\n            return self.par_or_siz[x]\n    proc issame*(self: UnionFind, x: int, y: int): bool =\n        return self.root(x) == self.root(y)\n    proc unite*(self: UnionFind, x: int, y: int) =\n        var x = self.root(x)\n        var y = self.root(y)\n        if(x != y):\n            if(self.par_or_siz[x] > self.par_or_siz[y]):\n                swap(x, y)\n            self.par_or_siz[x] += self.par_or_siz[y]\n            self.par_or_siz[y] = x\n            self.count -= 1\n    proc siz*(self: UnionFind, x: int): int =\n        var x = self.root(x)\n        return -self.par_or_siz[x]\n"
ImportExpand "cplib/graph/graph.nim" <=== "when not declared CPLIB_GRAPH_GRAPH:\n    const CPLIB_GRAPH_GRAPH* = 1\n\n    import sequtils\n    import math\n    type DynamicGraph*[T] = ref object of RootObj\n        edges*: seq[seq[(int32, T)]]\n        len*: int\n    type StaticGraph*[T] = ref object of RootObj\n        src*, dst*: seq[int32]\n        cost*: seq[T]\n        elist*: seq[(int32, T)]\n        start*: seq[int32]\n        len*: int\n\n    type WeightedDirectedGraph*[T] = ref object of DynamicGraph[T]\n    type WeightedUnDirectedGraph*[T] = ref object of DynamicGraph[T]\n    type UnWeightedDirectedGraph* = ref object of DynamicGraph[int]\n    type UnWeightedUnDirectedGraph* = ref object of DynamicGraph[int]\n    type WeightedDirectedStaticGraph*[T] = ref object of StaticGraph[T]\n    type WeightedUnDirectedStaticGraph*[T] = ref object of StaticGraph[T]\n    type UnWeightedDirectedStaticGraph* = ref object of StaticGraph[int]\n    type UnWeightedUnDirectedStaticGraph* = ref object of StaticGraph[int]\n\n    type GraphTypes*[T] = DynamicGraph[T] or StaticGraph[T]\n    type DirectedGraph* = WeightedDirectedGraph or UnWeightedDirectedGraph or WeightedDirectedStaticGraph or UnWeightedDirectedStaticGraph\n    type UnDirectedGraph* = WeightedUnDirectedGraph or UnWeightedUnDirectedGraph or WeightedUnDirectedStaticGraph or UnWeightedUnDirectedStaticGraph\n    type WeightedGraph*[T] = WeightedDirectedGraph[T] or WeightedUnDirectedGraph[T] or WeightedDirectedStaticGraph[T] or WeightedUnDirectedStaticGraph[T]\n    type UnWeightedGraph* = UnWeightedDirectedGraph or UnWeightedUnDirectedGraph or UnWeightedDirectedStaticGraph or UnWeightedUnDirectedStaticGraph\n    type DynamicGraphTypes* = WeightedDirectedGraph or UnWeightedDirectedGraph or WeightedUnDirectedGraph or UnWeightedUnDirectedGraph\n    type StaticGraphTypes* = WeightedDirectedStaticGraph or UnWeightedDirectedStaticGraph or WeightedUnDirectedStaticGraph or UnWeightedUnDirectedStaticGraph\n\n    proc add_edge_dynamic_impl*[T](g: DynamicGraph[T], u, v: int, cost: T, directed: bool) =\n        g.edges[u].add((v.int32, cost))\n        if not directed: g.edges[v].add((u.int32, cost))\n\n    proc initWeightedDirectedGraph*(N: int, edgetype: typedesc = int): WeightedDirectedGraph[edgetype] =\n        result = WeightedDirectedGraph[edgetype](edges: newSeq[seq[(int32, edgetype)]](N), len: N)\n    proc add_edge*[T](g: var WeightedDirectedGraph[T], u, v: int, cost: T) =\n        g.add_edge_dynamic_impl(u, v, cost, true)\n\n    proc initWeightedUnDirectedGraph*(N: int, edgetype: typedesc = int): WeightedUnDirectedGraph[edgetype] =\n        result = WeightedUnDirectedGraph[edgetype](edges: newSeq[seq[(int32, edgetype)]](N), len: N)\n    proc add_edge*[T](g: var WeightedUnDirectedGraph[T], u, v: int, cost: T) =\n        g.add_edge_dynamic_impl(u, v, cost, false)\n\n    proc initUnWeightedDirectedGraph*(N: int): UnWeightedDirectedGraph =\n        result = UnWeightedDirectedGraph(edges: newSeq[seq[(int32, int)]](N), len: N)\n    proc add_edge*(g: var UnWeightedDirectedGraph, u, v: int) =\n        g.add_edge_dynamic_impl(u, v, 1, true)\n\n    proc initUnWeightedUnDirectedGraph*(N: int): UnWeightedUnDirectedGraph =\n        result = UnWeightedUnDirectedGraph(edges: newSeq[seq[(int32, int)]](N), len: N)\n    proc add_edge*(g: var UnWeightedUnDirectedGraph, u, v: int) =\n        g.add_edge_dynamic_impl(u, v, 1, false)\n\n    proc len*[T](G: WeightedGraph[T]): int = G.len\n    proc len*(G: UnWeightedGraph): int = G.len\n\n    iterator `[]`*[T](g: WeightedDirectedGraph[T] or WeightedUnDirectedGraph[T], x: int): (int, T) =\n        for e in g.edges[x]: yield (e[0].int, e[1])\n    iterator `[]`*(g: UnWeightedDirectedGraph or UnWeightedUnDirectedGraph, x: int): int =\n        for e in g.edges[x]: yield e[0].int\n\n    proc add_edge_static_impl*[T](g: StaticGraph[T], u, v: int, cost: T, directed: bool) =\n        g.src.add(u.int32)\n        g.dst.add(v.int32)\n        g.cost.add(cost)\n        if not directed:\n            g.src.add(v.int32)\n            g.dst.add(u.int32)\n            g.cost.add(cost)\n\n    proc build_impl*[T](g: StaticGraph[T]) =\n        g.start = newSeqWith(g.len + 1, 0.int32)\n        for i in 0..<g.src.len:\n            g.start[g.src[i]] += 1\n        g.start.cumsum\n        g.elist = newSeq[(int32, T)](g.start[^1])\n        for i in countdown(g.src.len - 1, 0):\n            var u = g.src[i]\n            var v = g.dst[i]\n            g.start[u] -= 1\n            g.elist[g.start[u]] = (v, g.cost[i])\n    proc build*(g: StaticGraphTypes) = g.build_impl()\n\n    proc initWeightedDirectedStaticGraph*(N: int, edgetype: typedesc = int, capacity: int = 0): WeightedDirectedStaticGraph[edgetype] =\n        result = WeightedDirectedStaticGraph[edgetype](\n            src: newSeqOfCap[int32](capacity),\n            dst: newSeqOfCap[int32](capacity),\n            cost: newSeqOfCap[edgetype](capacity),\n            elist: newSeq[(int32, edgetype)](0),\n            start: newSeq[int32](0),\n            len: N\n        )\n    proc add_edge*[T](g: var WeightedDirectedStaticGraph[T], u, v: int, cost: T) =\n        g.add_edge_static_impl(u, v, cost, true)\n\n    proc initWeightedUnDirectedStaticGraph*(N: int, edgetype: typedesc = int, capacity: int = 0): WeightedUnDirectedStaticGraph[edgetype] =\n        result = WeightedUnDirectedStaticGraph[edgetype](\n            src: newSeqOfCap[int32](capacity*2),\n            dst: newSeqOfCap[int32](capacity*2),\n            cost: newSeqOfCap[edgetype](capacity*2),\n            elist: newSeq[(int32, edgetype)](0),\n            start: newSeq[int32](0),\n            len: N\n        )\n    proc add_edge*[T](g: var WeightedUnDirectedStaticGraph[T], u, v: int, cost: T) =\n        g.add_edge_static_impl(u, v, cost, false)\n\n    proc initUnWeightedDirectedStaticGraph*(N: int, capacity: int = 0): UnWeightedDirectedStaticGraph =\n        result = UnWeightedDirectedStaticGraph(\n            src: newSeqOfCap[int32](capacity),\n            dst: newSeqOfCap[int32](capacity),\n            cost: newSeqOfCap[int](capacity),\n            elist: newSeq[(int32, int)](0),\n            start: newSeq[int32](0),\n            len: N\n        )\n    proc add_edge*(g: var UnWeightedDirectedStaticGraph, u, v: int) =\n        g.add_edge_static_impl(u, v, 1, true)\n\n    proc initUnWeightedUnDirectedStaticGraph*(N: int, capacity: int = 0): UnWeightedUnDirectedStaticGraph =\n        result = UnWeightedUnDirectedStaticGraph(\n            src: newSeqOfCap[int32](capacity*2),\n            dst: newSeqOfCap[int32](capacity*2),\n            cost: newSeqOfCap[int](capacity*2),\n            elist: newSeq[(int32, int)](0),\n            start: newSeq[int32](0),\n            len: N\n        )\n    proc add_edge*(g: var UnWeightedUnDirectedStaticGraph, u, v: int) =\n        g.add_edge_static_impl(u, v, 1, false)\n\n    proc static_graph_initialized_check*[T](g: StaticGraph[T]) = assert g.start.len > 0, \"Static Graph must be initialized before use.\"\n\n    iterator `[]`*[T](g: WeightedDirectedStaticGraph[T] or WeightedUnDirectedStaticGraph[T], x: int): (int, T) =\n        g.static_graph_initialized_check()\n        for i in g.start[x]..<g.start[x+1]: yield (g.elist[i][0].int, g.elist[i][1])\n    iterator `[]`*(g: UnWeightedDirectedStaticGraph or UnWeightedUnDirectedStaticGraph, x: int): int =\n        g.static_graph_initialized_check()\n        for i in g.start[x]..<g.start[x+1]: yield g.elist[i][0].int\n\n    iterator to_and_cost*[T](g: DynamicGraph[T], x: int): (int, T) =\n        for e in g.edges[x]: yield (e[0].int, e[1])\n    iterator to_and_cost*[T](g: StaticGraph[T], x: int): (int, T) =\n        g.static_graph_initialized_check()\n        for i in g.start[x]..<g.start[x+1]: yield (g.elist[i][0].int, g.elist[i][1])\n"
ImportExpand "cplib/tree/heavylightdecomposition.nim" <=== "when not declared CPLIB_TREE_HLD:\n    const CPLIB_TREE_HLD* = 1\n    import sequtils\n    import algorithm\n    import sets\n    #[ import cplib/graph/graph ]#\n    # https://atcoder.jp/contests/abc337/submissions/50216964\n    # ↑上記の提出より引用\n    type HeavyLightDecomposition* = object\n        N*: int\n        P*, PP*, PD*, D*, I*, rangeL*, rangeR*: seq[int]\n    proc initHld*(g: UnWeightedGraph, root: int): HeavyLightDecomposition =\n        var hld = HeavyLightDecomposition()\n        var n: int = g.len\n        hld.N = n\n        hld.P = newSeqWith(n, -1)\n        hld.I = newSeqWith(n, 0)\n        hld.I[0] = root\n        var iI = 1\n        for i in 0..<n:\n            var p = hld.I[i]\n            for e in g[p]:\n                if hld.P[p] != e:\n                    hld.I[iI] = e\n                    hld.P[e] = p\n                    iI += 1\n        var Z = newSeqWith(n, 1)\n        var nx = newSeqWith(n, -1)\n        hld.PP = newSeqWith(n, 0)\n        for i in 0..<n:\n            hld.PP[i] = i\n        for i in 1..<n:\n            var p = hld.I[n-i]\n            Z[hld.P[p]] += Z[p]\n            if nx[hld.P[p]] == -1 or Z[nx[hld.P[p]]] < Z[p]:\n                nx[hld.P[p]] = p\n        for p in hld.I:\n            if nx[p] != -1:\n                hld.PP[nx[p]] = p\n        hld.PD = newSeqWith(n, n)\n        hld.PD[root] = 0\n        hld.D = newSeqWith(n, 0)\n        for p in hld.I:\n            if p != root:\n                hld.PP[p] = hld.PP[hld.PP[p]]\n                hld.PD[p] = min(hld.PD[hld.PP[p]], hld.PD[hld.P[p]]+1)\n                hld.D[p] = hld.D[hld.P[p]]+1\n        hld.rangeL = newSeqWith(n, 0)\n        hld.rangeR = newSeqWith(n, 0)\n        for p in hld.I:\n            hld.rangeR[p] = hld.rangeL[p] + Z[p]\n            var ir = hld.rangeR[p]\n            for e in g[p]:\n                if hld.P[p] != e and e != nx[p]:\n                    ir -= Z[e]\n                    hld.rangeL[e] = ir\n            if nx[p] != -1:\n                hld.rangeL[nx[p]] = hld.rangeL[p] + 1\n        for i in 0..<n:\n            hld.I[hld.rangeL[i]] = i\n        return hld\n    proc initHld*[T](g: WeightedGraph[T], root: int): HeavyLightDecomposition =\n        var n = g.len\n        var gn = initUnWeightedUnDirectedStaticGraph(n)\n        var seen = initHashSet[(int, int)]()\n        for i in 0..<n:\n            for (j, _) in g[i]:\n                if (i, j) notin seen:\n                    gn.add_edge(i, j)\n                    seen.incl((i, j))\n                    seen.incl((j, i))\n        gn.build\n        return initHld(gn, root)\n    proc initHld*(adj: seq[seq[int]], root: int): HeavyLightDecomposition =\n        var n = adj.len\n        var gn = initUnWeightedUnDirectedStaticGraph(n)\n        var seen = initHashSet[(int, int)]()\n        for i in 0..<n:\n            for j in adj[i]:\n                if (i, j) notin seen:\n                    gn.add_edge(i, j)\n                    seen.incl((i, j))\n                    seen.incl((j, i))\n        gn.build\n        return initHld(gn, root)\n    proc numVertices*(hld: HeavyLightDecomposition): int = hld.N\n    proc depth*(hld: HeavyLightDecomposition, p: int): int = hld.D[p]\n    proc toSeq*(hld: HeavyLightDecomposition, vtx: int): int = hld.rangeL[vtx]\n    proc toVtx*(hld: HeavyLightDecomposition, seqidx: int): int = hld.I[seqidx]\n    proc toSeq2In*(hld: HeavyLightDecomposition, vtx: int): int = hld.rangeL[vtx] * 2 - hld.D[vtx]\n    proc toSeq2Out*(hld: HeavyLightDecomposition, vtx: int): int = hld.rangeR[vtx] * 2 - hld.D[vtx] - 1\n    proc parentOf*(hld: HeavyLightDecomposition, v: int): int = hld.P[v]\n    proc heavyRootOf*(hld: HeavyLightDecomposition, v: int): int = hld.PP[v]\n    proc heavyChildOf*(hld: HeavyLightDecomposition, v: int): int =\n        if hld.toSeq(v) == hld.N-1:\n            return -1\n        var cand = hld.toVtx(hld.toSeq(v) + 1)\n        if hld.PP[v] == hld.PP[cand]:\n            return cand\n        -1\n    proc lca*(hld: HeavyLightDecomposition, u: int, v: int): int =\n        var (u, v) = (u, v)\n        if hld.PD[u] < hld.PD[v]:\n            swap(u, v)\n        while hld.PD[u] > hld.PD[v]:\n            u = hld.P[hld.PP[u]]\n        while hld.PP[u] != hld.PP[v]:\n            u = hld.P[hld.PP[u]]\n            v = hld.P[hld.PP[v]]\n        if hld.D[u] > hld.D[v]:\n            return v\n        u\n    proc dist*(hld: HeavyLightDecomposition, u: int, v: int): int =\n        hld.depth(u) + hld.depth(v) - hld.depth(hld.lca(u, v)) * 2\n    proc path*(hld: HeavyLightDecomposition, r: int, c: int, include_root: bool, reverse_path: bool): seq[(int, int)] =\n        var (r, c) = (r, c)\n        var k = hld.PD[c] - hld.PD[r] + 1\n        if k <= 0:\n            return @[]\n        var res = newSeqWith(k, (0, 0))\n        for i in 0..<k-1:\n            res[i] = (hld.rangeL[hld.PP[c]], hld.rangeL[c] + 1)\n            c = hld.P[hld.PP[c]]\n        if hld.PP[r] != hld.PP[c] or hld.D[r] > hld.D[c]:\n            return @[]\n        var root_off = int(not include_root)\n        res[^1] = (hld.rangeL[r]+root_off, hld.rangeL[c]+1)\n        if res[^1][0] == res[^1][1]:\n            discard res.pop()\n            k -= 1\n        if reverse_path:\n            for i in 0..<k:\n                res[i] = (hld.N - res[i][1], hld.N - res[i][0])\n        else:\n            res.reverse()\n        res\n    proc subtree*(hld: HeavyLightDecomposition, p: int): (int, int) = (hld.rangeL[p], hld.rangeR[p])\n    proc median*(hld: HeavyLightDecomposition, x: int, y: int, z: int): int =\n        hld.lca(x, y) xor hld.lca(y, z) xor hld.lca(x, z)\n    proc la*(hld: HeavyLightDecomposition, starting: int, goal: int, d: int): int =\n        var (u, v, d) = (starting, goal, d)\n        if d < 0:\n            return -1\n        var g = hld.lca(u, v)\n        var dist0 = hld.D[u] - hld.D[g]*2 + hld.D[v]\n        if dist0 < d:\n            return -1\n        var p = u\n        if hld.D[u] - hld.D[g] < d:\n            p = v\n            d = dist0 - d\n        while hld.D[p] - hld.D[hld.PP[p]] < d:\n            d -= hld.D[p] - hld.D[hld.PP[p]] + 1\n            p = hld.P[hld.PP[p]]\n        hld.I[hld.rangeL[p] - d]\n    iterator children*(hld: HeavyLightDecomposition, v: int): int =\n        var s = hld.rangeL[v] + 1\n        while s < hld.rangeR[v]:\n            var w = hld.toVtx(s)\n            yield w\n            s += hld.rangeR[w] - hld.rangeL[w]\n"
ImportExpand "cplib/collections/segtree.nim" <=== "when not declared CPLIB_COLLECTIONS_SEGTREE:\n    const CPLIB_COLLECTIONS_SEGTREE* = 1\n    import algorithm\n    import strutils\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        ## セグメントツリーを生成します。\n        ## vに元となるリスト、mergeに二つの区間をマージする関数、デフォルトに単位元を与えてください。\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\n    proc update*[T](self: SegmentTree[T], x: Natural, val: T) =\n        ## xの要素をvalに変更します。\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        ## 半解区間[q_left,q_right)についての演算結果を返します。\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        ## [0,len(self))区間の演算結果をO(1)で返す\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(V, proc (l{.inject.}, r{.inject.}: typeof(default)): typeof(default) = merge, default)\n\n"

var h, w = input(int)
var a = input(int, h, w)
var g = initUnWeightedUnDirectedStaticGraph(h*w)
var edges = newSeq[(int, int, int)]()
for i in 0..<h:
    for j in 0..<w:
        for (dx, dy) in DXY:
            if i+dx notin 0..<h or j+dy notin 0..<w: continue
            edges.add((max(a[i][j], a[i+dx][j+dy]), i*w+j, (i+dx)*w+(j+dy)))
edges.sort
var uf = initUnionFind(h*w)
for (cost, u, v) in edges:
    if uf.issame(u, v): continue
    uf.unite(u, v)
    g.add_edge(u, v)
g.build
var hld = g.initHld(0)
proc init(): auto =
    var arr = newSeqWith(h*w, -INFL)
    for i in 0..<h*w:
        var u = hld.toVtx(i)
        if hld.P[u] == -1: continue
        var v = hld.P[u]
        arr[i] = max(a[u//w][u%w], a[v//w][v%w])
    return newSegWith(arr, max(l, r), -INFL)
var seg = init()

var q = input(int)
for _ in 0..<q:
    var rs, cs, rt, ct = input(int) - 1
    var u = rs*w + cs
    var v = rt*w + ct
    var lca = hld.lca(u, v)
    var ans = -INFL
    for (l, r) in hld.path(lca, u, false, false): ans.max = seg[l..<r]
    for (l, r) in hld.path(lca, v, false, false): ans.max = seg[l..<r]
    print(ans)