import macros;macro ImportExpand(s:untyped):untyped = parseStmt($s[2]) # source: src/cplib/tmpl/sheep.nim ImportExpand "cplib/tmpl/sheep" <=== "when not declared CPLIB_TMPL_SHEEP:\n const CPLIB_TMPL_SHEEP* = 1\n {.warning[UnusedImport]: off.}\n {.hint[XDeclaredButNotUsed]: off.}\n import algorithm\n import sequtils\n import tables\n import macros\n import math\n import sets\n import strutils\n import strformat\n import sugar\n import heapqueue\n import streams\n import deques\n import bitops\n import std/lenientops\n import options\n #入力系\n proc scanf(formatstr: cstring){.header: \"\", varargs.}\n proc getchar(): char {.importc: \"getchar_unlocked\", header: \"\", discardable.}\n proc ii(): int {.inline.} = scanf(\"%lld\\n\", addr result)\n proc lii(N: int): seq[int] {.inline.} = newSeqWith(N, ii())\n proc si(): string {.inline.} =\n result = \"\"\n var c: char\n while true:\n c = getchar()\n if c == ' ' or c == '\\n' or c == '\\255':\n break\n result &= c\n \n # 出力系\n # 1. 実際の処理を行う proc (openArray を受け取る)\n proc print_internal(prop: tuple[f: File, sepc: string, endc: string, flush: bool], args: openArray[string]) =\n for i in 0 ..< args.len:\n prop.f.write(args[i])\n if i != args.len - 1:\n prop.f.write(prop.sepc)\n else:\n prop.f.write(prop.endc)\n if prop.flush:\n prop.f.flushFile()\n\n # 2. ユーザーが呼び出すためのインターフェース (varargs を受け取る)\n proc print*(prop: tuple[f: File, sepc: string, endc: string, flush: bool], args: varargs[string, `$`]) =\n # varargs は内部では openArray として扱えるので、そのまま渡せる\n print_internal(prop, args)\n\n proc print*(args: varargs[string, `$`]) =\n # こちらも内部用の proc を呼ぶ\n print_internal((f: stdout, sepc: \" \", endc: \"\\n\", flush: false), args)\n macro getSymbolName(x: typed): string = x.toStrLit\n macro debug*(args: varargs[untyped]): untyped =\n when defined(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 #chmin,chmax\n template `max=`(x, y) =\n let yVal = y # yが計算式の場合に評価を1回にするため\n if x < yVal:\n x = yVal\n\n template `min=`(x, y) =\n let yVal = y\n if x > yVal:\n x = yVal\n proc chmin[T](x: var T, y: T):bool=\n if x > y:\n x = y\n return true\n return false\n proc chmax[T](x: var T, y: T):bool=\n if x < y:\n x = y\n return true\n return false\n #bit演算\n proc `%`*(x: int, y: int): 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: int, y: int): int{.inline.} =\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: var int, y: int): void = x = x%y\n proc `//=`(x: var int, y: int): void = x = x//y\n proc `**`(x: int, y: int): int = x^y\n proc `**=`(x: var int, y: int): void = x = x^y\n proc `^`(x: int, y: int): int = x xor y\n proc `|`(x: int, y: int): int = x or y\n proc `&`(x: int, y: int): int = x and y\n proc `>>`(x: int, y: int): int = x shr y\n proc `<<`(x: int, y: int): int = x shl y\n proc `~`(x: int): int = not x\n proc `^=`(x: var int, y: int): void = x = x ^ y\n proc `&=`(x: var int, y: int): void = x = x & y\n proc `|=`(x: var int, y: int): void = x = x | y\n proc `>>=`(x: var int, y: int): void = x = x >> y\n proc `<<=`(x: var int, y: int): void = x = x << y\n proc `[]`(x: int, n: int): bool = (x and (1 shl n)) != 0\n #便利な変換\n proc `!`(x: char, a = '0'): int = int(x)-int(a)\n #定数\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 INF = INF64\n #converter\n\n #range\n iterator range(start: int, ends: int, step: int): int =\n var i = start\n if step < 0:\n while i > ends:\n yield i\n i += step\n elif step > 0:\n while i < ends:\n yield i\n i += step\n iterator range(ends: int): int = (for i in 0.. r[i]:\n return false\n elif l[i] < r[i]:\n return true\n return len(l) < len(r)\n \n # Yes/No\n proc yes*(b: bool = true): void = print(if b: \"Yes\" else: \"No\")\n proc no*(b: bool = true): void = yes(not b)\n\n proc takahashi(b:bool = true) : void = print(if b: \"Takahashi\" else: \"Aoki\")\n proc aoki(b:bool = true) : void = takahashi(not b)\n\n template dblock(body: untyped) =\n when defined(debug):\n block:\n body\n" # source: src/cplib/graph/graph.nim ImportExpand "cplib/graph/graph" <=== "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.. 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]..\n\n #include \n #include \n\n #pragma GCC push_options\n #pragma GCC target(\"avx2\")\n #pragma GCC optimize(\"O3\")\n\n extern \"C\" bool cplib_warshall_floyd_int64_avx2(\n void* raw_rows,\n std::size_t n,\n std::int64_t zero,\n std::int64_t inf) {\n std::int64_t** d = static_cast(raw_rows);\n const __m256i inf4 = _mm256_set1_epi64x(inf);\n\n for (std::size_t k = 0; k < n; ++k) {\n std::int64_t* const row_k = d[k];\n for (std::size_t i = 0; i < n; ++i) {\n std::int64_t* const row_i = d[i];\n const std::int64_t dik = row_i[k];\n if (dik == inf) continue;\n\n const __m256i dik4 = _mm256_set1_epi64x(dik);\n std::size_t j = 0;\n for (; j + 4 <= n; j += 4) {\n const __m256i dkj = _mm256_loadu_si256(\n reinterpret_cast(row_k + j));\n const __m256i dij = _mm256_loadu_si256(\n reinterpret_cast(row_i + j));\n const __m256i candidate = _mm256_add_epi64(dik4, dkj);\n\n // AVX2 has no signed 64-bit min instruction. Keep dij\n // when dkj is INF; otherwise select the smaller value\n // using a signed comparison and a byte-wise blend.\n const __m256i unreachable = _mm256_cmpeq_epi64(dkj, inf4);\n const __m256i improves = _mm256_cmpgt_epi64(dij, candidate);\n const __m256i take = _mm256_andnot_si256(unreachable, improves);\n const __m256i updated = _mm256_blendv_epi8(dij, candidate, take);\n _mm256_storeu_si256(\n reinterpret_cast<__m256i*>(row_i + j), updated);\n }\n for (; j < n; ++j) {\n if (row_k[j] != inf) {\n const std::int64_t candidate = dik + row_k[j];\n if (candidate < row_i[j]) row_i[j] = candidate;\n }\n }\n }\n for (std::size_t i = 0; i < n; ++i) {\n if (d[i][i] < zero) return true;\n }\n }\n return false;\n }\n\n #pragma GCC pop_options\n\n #endif\n \"\"\".}\n\n proc warshallFloydInt64Avx2(\n rows: pointer,\n n: csize_t,\n zero, inf: int\n ): bool {.importc: \"cplib_warshall_floyd_int64_avx2\".}\n\n proc warshall_floyd_impl[T](g: DynamicGraph[T] or StaticGraph[T], zero, inf: T): tuple[negative_cycle: bool, d: seq[seq[T]]] =\n var d = newSeqWith(g.len, newSeqWith(g.len, inf))\n for i in 0..= x:\n M += 1\n output.writeLine($len(G)&\" \" & $M)\n for x in 0..= x:\n output.writeLine($x & \" \" & $y &\" \" & $c)\n \n proc dump_graph*(G: UnWeightedDirectedGraph or UnWeightedDirectedStaticGraph,output:File=stdout)=\n var M = 0\n for x in 0..= x:\n M += 1\n output.writeLine($len(G)&\" \" & $M)\n for x in 0..= x:\n output.writeLine($x & \" \" & $y)\n \n proc to_graph_graph*(G: WeightedDirectedGraph or WeightedDirectedStaticGraph,indexed:bool=false):string=\n var M = 0\n for x in 0..= x:\n M += 1\n result = fmt\"https://hello-world-494ec.firebaseapp.com/?format=normal&indexed={indexed}&weighted=true&directed=false&data={len(G)}+{M}\"\n var add = 0\n if indexed:\n add += 1\n for x in 0..= x:\n result &= fmt\"%0A{x+add}+{y+add}+{c}\"\n\n proc to_graph_graph*(G: UnWeightedDirectedGraph or UnWeightedDirectedStaticGraph,indexed:bool=false):string=\n var M = 0\n for x in 0..= x:\n M += 1\n result = fmt\"https://hello-world-494ec.firebaseapp.com/?format=normal&indexed={indexed}&weighted=false&directed=false&data={len(G)}+{M}\"\n var add = 0\n if indexed:\n add += 1\n for x in 0..= x:\n result &= fmt\"%0A{x+add}+{y+add}\"\n" var N,M = ii() var P = lii(N) var G = initWeightedDirectedGraph(N) for _ in range(M): var u,v,t = ii() u-=1 v-=1 G.add_edge(u,v,t) var (f,res) = G.warshall_floyd() assert not f var mn = INF for i in range(N): for j in range(N): if i != j: mn.min = res[i][j] + P[i] + P[j] var cnt = 0 # echo G.to_graph_graph() for i in range(N): for j in range(N): if i != j: if res[i][j] + P[i] + P[j] == mn: cnt += 1 # print(i,j) echo mn," ",cnt