結果

問題 No.3131 Twin Slide Puzzles
ユーザー 👑 seekworser
提出日時 2025-04-25 23:47:29
言語 Nim
(2.2.0)
結果
WA  
実行時間 -
コード長 15,476 bytes
コンパイル時間 6,399 ms
コンパイル使用メモリ 93,900 KB
実行使用メモリ 43,988 KB
最終ジャッジ日時 2025-04-25 23:47:52
合計ジャッジ時間 21,117 ms
ジャッジサーバーID
(参考情報)
judge1 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 38 WA * 19
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ソースコード

diff #

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 = 100100111.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/utils/inversion_number.nim
ImportExpand "cplib/utils/inversion_number" <=== "when not declared CPLIB_UTILS_INVERSION_NUMBER:\n    const CPLIB_UTILS_INVERSION_NUMBER* = 1\n    import algorithm\n    import sequtils\n    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    \n    proc inversion_number*(a: seq[int]): int =\n        let c = a.sorted.deduplicate(true)\n        var seg = initSegmentTree(newSeqWith(c.len, 0), proc(l, r: int): int = l+r, 0)\n        var ans = 0\n        for i in 0..<a.len:\n            let pos = c.lowerbound(a[i])\n            if pos + 1 < c.len:\n                ans += seg.get(pos+1..<c.len)\n            seg[pos] = seg[pos] + 1\n        return ans\n"

{.checks: off.}

var n = input(int)
var a = input(int, n * n)
proc output_ans(p, q: seq[int]) =
    Yes()
    var tp = 0
    var tq = 0
    for i in 0..<n:
        var row = newSeq[int]()
        for j in 0..<n:
            if i*n+j < p.len: row.add(p[i*n+j])
            else: row.add(i*n+j)
            tp += row[^1] * a[i*n+j]
        print(row)
    for i in 0..<n:
        var row = newSeq[int]()
        for j in 0..<n:
            if i*n+j < q.len: row.add(q[i*n+j])
            else: row.add(i*n+j)
            tq += row[^1] * a[i*n+j]
        print(row)
    debug(tp, tq)

if n <= 3:
    var p = (0..<n*n).toseq
    var ans = initTable[int, seq[int]]()
    while true:
        if (p.inversion_number % 2) == 0:
            var total = 0
            for i in 0..<n*n:
                total += a[i] * p[i]
            if total in ans:
                var q = ans[total]
                output_ans(p, ans[total])
                quit()
            ans[total] = p
        if not p.nextPermutation: break
    No()
    quit()

# n >= 4 は先頭14個くらいみて適当に作ればいいけど間に合わない。。。
var m = 14
var perm = (0..<m).toseq
var pos = (0..<m).toseq
var direction = newSeqWith(m, -1)

proc get_mobile(): int =
    var mobile = -1
    var mobile_index = -1
    for i in countdown(m-1, 0):
        var neighbor = pos[i] + direction[i]
        if neighbor in 0..<m and i > perm[neighbor]:
            return i
        direction[i] *= -1
    return mobile_index

var ans = initTable[int, seq[int]]()
var total = 0
while true:
    block:
        var x = get_mobile()
        var px = pos[x]
        var py = pos[x] + direction[x]
        var y = perm[py]
        total -= a[px] * perm[px] + a[py] * perm[py]
        swap(perm[px], perm[py])
        swap(pos[x], pos[y])
        total += a[px] * perm[px] + a[py] * perm[py]
        debug(x, perm, pos, direction, total)
    block:
        var x = get_mobile()
        var px = pos[x]
        var py = pos[x] + direction[x]
        var y = perm[py]
        total -= a[px] * perm[px] + a[py] * perm[py]
        swap(perm[px], perm[py])
        swap(pos[x], pos[y])
        total += a[px] * perm[px] + a[py] * perm[py]
        debug(x, perm, pos, direction, total)
    debug(total)
    if total in ans:
        output_ans(perm, ans[total])
        quit()
    ans[total] = perm
0