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# # Written by NoKnowledgeGG @YlePhan # ('ω') # #import math #mod = 10**9+7 #import itertools #import fractions #import numpy as np #mod = 10**4 + 7 """def kiri(n,m): r_ = n / m if (r_ - (n // m)) > 0: return (n//m) + 1 else: return (n//m)""" """ n! mod m 階乗 mod = 1e9 + 7 N = 10000000 fac = [0] * N def ini(): fac[0] = 1 % mod for i in range(1,N): fac[i] = fac[i-1] * i % mod""" """mod = 1e9+7 N = 10000000 pw = [0] * N def ini(c): pw[0] = 1 % mod for i in range(1,N): pw[i] = pw[i-1] * c % mod""" """ def YEILD(): yield 'one' yield 'two' yield 'three' generator = YEILD() print(next(generator)) print(next(generator)) print(next(generator)) """ """def gcd_(a,b): if b == 0:#結局はc,0の最大公約数はcなのに return a return gcd_(a,a % b) # a = p * b + q""" """def extgcd(a,b,x,y): d = a if b!=0: d = extgcd(b,a%b,y,x) y -= (a//b) * x print(x,y) else: x = 1 y = 0 return d""" def readInts(): return list(map(int,input().split())) mod = 10**9 + 7 #def main(): n,m = readInts() a = [0] * m b = [0] * m graph = [[False for i in range(n)] for j in range(n)] for i in range(m): a[i],b[i] = list(map(int,input().split())) a[i] -=1 b[i] -=1 graph[a[i]][b[i]] = True graph[b[i]][a[i]] = True cnt = 0 now = [0] * n def dfs(pos,nya): global cnt if pos == n: if now[0] == 0: for i in range(n-1): if graph[now[i]][now[i+1]] == False: break if i == n-2: cnt += 1 return for i in range(n): if nya & (1 << i): now[pos] = i dfs(pos+1,nya^(1<<i)) dfs(0,(1<<n)-1) print(cnt) #if __name__ == '__main__': # main()
n, m = list(map(int,input().split())) G = [[] for _ in range(n)] for i in range(m): a,b = [int(x)-1 for x in input().split()] G[a].append(b) G[b].append(a) SAW = [False] * n def dfs(v,SAW): global res end = True for i in range(n): if not SAW[i] and i != v: end = False if end: res += 1 return SAW[v] = True for nv in G[v]: if SAW[nv]: continue dfs(nv,SAW) SAW[v] = False res = 0 dfs(0,SAW) print(res)
p03805
import sys import copy read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline in_n = lambda: int(readline()) in_nn = lambda: list(map(int, readline().split())) in_nl = lambda: list(map(int, readline().split())) in_na = lambda: list(map(int, read().split())) in_s = lambda: readline().rstrip().decode('utf-8') sys.setrecursionlimit(1000000) ans = 0 def bfs(N, edge, v, search): search |= {v} global ans if len(search) == N: ans += 1 return for e in edge[v]: if e not in search: #print('test:{},{},{}'.format(e, v, search)) bfs(N, edge, e, copy.copy(search)) def main(): N, M = in_nn() edge = [[] for _ in range(N)] for i in range(M): a, b = in_nn() a, b = a - 1, b - 1 edge[a].append(b) edge[b].append(a) bfs(N, edge, 0, set()) print(ans) if __name__ == '__main__': main()
import sys import copy read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline in_n = lambda: int(readline()) in_nn = lambda: list(map(int, readline().split())) in_nl = lambda: list(map(int, readline().split())) in_na = lambda: list(map(int, read().split())) in_s = lambda: readline().rstrip().decode('utf-8') sys.setrecursionlimit(1000000) ans = 0 def bfs(N, edge, v, search): search |= {v} global ans if len(search) == N: ans += 1 return for e in edge[v]: if e not in search: bfs(N, edge, e, copy.copy(search)) def main(): N, M = in_nn() edge = [[] for _ in range(N)] for i in range(M): a, b = in_nn() a, b = a - 1, b - 1 edge[a].append(b) edge[b].append(a) bfs(N, edge, 0, set()) print(ans) if __name__ == '__main__': main()
p03805
import sys sys.setrecursionlimit(10000000) import copy n, m = list(map(int, input().split())) graph = [list() for i in range(n+1)] for i in range(m): a, b = list(map(int, (input().split()))) graph[a] += [b] graph[b] += [a] ans = 0 def dfs(visited, now): tv = copy.copy(visited) tv[now-1] = True if all(tv): return 1 temp = 0 for i in graph[now]: if tv[i-1] != 1: temp += dfs(tv, i) return temp ans = dfs([False] * n, 1) print(ans)
import copy n, m = list(map(int, input().split())) graph = [list() for i in range(n+1)] for i in range(m): a, b = list(map(int, (input().split()))) graph[a] += [b] graph[b] += [a] def dfs(visited, now): tv = copy.copy(visited) tv[now-1] = 1 if all(tv) == 1: return 1 count = 0 for i in graph[now]: if tv[i-1] == 0: count += dfs(tv, i) return count print((dfs([0] * n, 1)))
p03805
# 頂点および辺の数を入力 N, M = list(map(int, input().split())) # 辺のリストを作成 list_edge = [[] for _ in range(N + 1)] for _ in range(M): a, b = list(map(int, input().split())) list_edge[a].append(b) list_edge[b].append(a) # パス(リスト)のリストを初期化 list_path = [[1]] # パスが存在する、かつパスの長さが頂点の数未満である場合に繰り返し while list_path != [] and len(list_path[0]) < N: # パスのリストから先頭のパスを取り出す path = list_path.pop(0) # パスの最後尾の頂点から訪問可能な頂点について、、 for node in list_edge[path[-1]]: # その頂点にまだ訪問していない場合、、 if node not in path: # パスのリストに新たなパスを加える list_path.append(path + [node]) # パスの数を出力する print((len(list_path)))
# 頂点および辺の数を入力 N, M = list(map(int, input().split())) # 辺のリストを作成 list_edge = [[] for _ in range(N + 1)] for _ in range(M): a, b = list(map(int, input().split())) list_edge[a].append(b) list_edge[b].append(a) # パスの数を返す関数を定義 def count_path(node, path, list_edge, N): # パスの数を初期化 count = 0 # 全ての頂点を訪問した場合、、 if len(path) == N: # パスの数に1を加える count += 1 # 全ての頂点を訪問していない場合、、 else: # 現在の頂点から訪問できる各頂点について、、 for next_node in list_edge[node]: # その頂点にまだ訪問していない場合、、 if next_node not in path: # 再帰 count += count_path(next_node, path + [next_node], list_edge, N) # パスの本数を返す return count # パスの本数を出力する print((count_path(1, [1], list_edge, N)))
p03805
import os,re,sys,operator from collections import Counter,deque from operator import itemgetter from itertools import accumulate,combinations,groupby from sys import stdin,setrecursionlimit from copy import deepcopy import heapq setrecursionlimit(10**6) def dfs(now,depth): global used global gragh global n ans=0 if used[now]: return 0 if depth==n: return 1 used[now]=1 for i in range(n): if gragh[now][i]: ans+=dfs(i,depth+1) used[now]=0 return ans n,m=list(map(int,stdin.readline().rstrip().split())) gragh=[[0]*n for _ in range(n)] for i in range(m): a,b=list(map(int,stdin.readline().rstrip().split())) gragh[a-1][b-1]=gragh[b-1][a-1]=1 used=[0]*n print((dfs(0,1)))
import sys sys.setrecursionlimit(10**6) input=sys.stdin.readline n,m=list(map(int,input().split())) G=[[False]*n for _ in range(n)] used=[False]*n def dfs(now,depth): if used[now]: return 0 if n==depth: return 1 used[now]=True ans=0 for i in range(n): if G[now][i]: ans+=dfs(i,depth+1) used[now]=False return ans for _ in range(m): a,b=list(map(int,input().split())) G[a-1][b-1]=True G[b-1][a-1]=True print((dfs(0,1)))
p03805
num_ver, num_edge = list(map(int,input().split())) # 隣接行列 graph_mat = [[0]*num_ver for _ in range(num_ver)] for i in range(num_edge): start, goal = list(map(int,input().split())) start -= 1 goal -= 1 graph_mat[start][goal] = 1 graph_mat[goal][start] = 1 visited = [0] * num_ver #再帰関数 def dfs(now, depth): if visited[now]: return 0 if depth == num_ver - 1: return 1 visited[now] = 1 total_paths = 0 # 「同じ深さの処理」=場合わけ for i in range(num_ver): if graph_mat[now][i]: total_paths += dfs(i, depth + 1) visited[now] = 0 return total_paths print((dfs(0, 0)))
num_ver, num_edge = list(map(int,input().split())) # 隣接行列 graph_mat = [[0]*num_ver for _ in range(num_ver)] for i in range(num_edge): start, goal = list(map(int,input().split())) start -= 1 goal -= 1 graph_mat[start][goal] = 1 graph_mat[goal][start] = 1 visited = [0] * num_ver def dfs(now, depth): if visited[now]: return 0 if depth == num_ver - 1: return 1 visited[now] = 1 num_path = 0 for ver in range(num_ver): if graph_mat[now][ver]: num_path += dfs(ver, depth + 1) # 別の一筆書きの道として探索されることを考慮、もちろん頂点1についてはこれは意味ない visited[now] = 0 return num_path print((dfs(0,0)))
p03805
from itertools import permutations n_ver,n_edge = list(map(int,input().split())) path_mat = [[0]*n_ver for _ in range(n_ver)] for i in range(n_edge): a,b = list(map(int,input().split())) a -= 1 b -= 1 path_mat[a][b] = 1 path_mat[b][a] = 1 ans = 0 vers = [i for i in range(n_ver)] for path in permutations(vers): if path[0] != 0: continue can = True for i in range(n_ver-1): from_ = path[i] to = path[i+1] if not path_mat[from_][to]: can = False break if can: ans += 1 print(ans)
import sys sys.setrecursionlimit(10**7) n_ver, n_edge = list(map(int,input().split())) ad_ls = [[] for _ in range(n_ver)] for i in range(n_edge): a,b = list(map(int,input().split())) a -= 1 b -= 1 ad_ls[a].append(b) ad_ls[b].append(a) done_ls = [0] * n_ver def dfs(ver): done_ls[ver] = 1 num = 0 if done_ls == [1] * n_ver: done_ls[ver] = 0 return 1 for nex in ad_ls[ver]: if done_ls[nex]: continue num += dfs(nex) done_ls[ver] = 0 return num print((dfs(0)))
p03805
import itertools n,m = list(map(int,input().split()))#頂点の数、辺の数 graph = [[False for i in range(n)] for j in range(n)] for i in range(m): a,b = list(map(int,input().split())) a -= 1 b -= 1 graph[a][b] = True graph[b][a] = True ans = 0 for i in itertools.permutations(list(range(n))): if i[0] != 0: continue visited = [0]*n visited[0] += 1 for j in range(n): if j == n-1: if 0 not in visited: ans += 1 break if graph[i[j]][i[j+1]] == True: visited[i[j+1]] += 1 print(ans)
import itertools n,m = list(map(int,input().split())) path = [[] for i in range(n+1)] for i in range(m): a,b = list(map(int,input().split())) path[a].append(b) path[b].append(a) ans = 0 l = [i for i in range(2,n+1)] for v in itertools.permutations(l,n-1): flag = True if v[0] not in path[1]: flag = False continue for k in range(1,n-1): if v[k] not in path[v[k-1]]: flag = False continue if flag: ans += 1 print(ans)
p03805
import itertools N,M=list(map(int,input().split())) route=[list(map(int,input().split())) for _ in range(M)] candidate=list(itertools.permutations(list(range(1,N+1)))) ans=0 for c in candidate: if c[0]==1: for i in range(N-1): l=sorted([c[i], c[i+1]]) if l not in route: break else: ans+=1 print(ans)
import itertools N, M = list(map(int, input().split())) G = {k: set() for k in range(N+1)} for _ in range(M): a, b = list(map(int, input().split())) # 無向グラフ G[a].add(b) G[b].add(a) ans = 0 for p in itertools.permutations(list(range(2, N+1))): c = 1 for n in p: if n not in G[c]: break c = n else: ans += 1 print(ans)
p03805
from collections import deque N, M = list(map(int, input().split())) V = [] for i in range(M): a, b = list(map(int, input().split())) V.append((a-1, b-1)) def bfs(G): visited = [False] * N visited[0] = True que = deque([(0, -1, 0)]) r = 0 while que: ci, p, d = que.popleft() for ni in G[ci]: if visited[ni] is False: visited[ni] = True que.append((ni, ci, d+1)) r = max(r, d+1) return r ans = 0 for i in range(2 ** M): if bin(i).count('1') != N-1: continue else: G = {k: [] for k in range(N)} for j in range(M): # このループが一番のポイント if ((i >> j) & 1): # 順に右にシフトさせ最下位bitのチェックを行う (a, b) = V[j] G[a].append(b) G[b].append(a) if bfs(G) == N-1: ans += 1 print(ans)
import sys sys.setrecursionlimit(1000000) N, M = list(map(int, input().split())) G = {k: [] for k in range(N)} for _ in range(M): a, b = list(map(int, input().split())) # 無向グラフ G[a-1].append(b-1) G[b-1].append(a-1) visited = [False]*N visited[0] = True def dfs(v): if all(visited): return 1 r = 0 for nv in G[v]: if visited[nv] is False: visited[nv] = True r += dfs(nv) visited[nv] = False return r print((dfs(0)))
p03805
import sys sys.setrecursionlimit(1000000) N,M = list(map(int, input().split())) P = [list(map(int, input().split())) for _ in range(M)] vis_N = [-1]*(N+1) count = 0 vis_N[1] = 1 def search(a): global count,vis_N,vis_Nij #print(count,vis_N) if sum(vis_N)+1 == N: count = count + 1 return# count#print(count,"A",i) for i in range(M): if (P[i][0] == a and vis_N[P[i][1]] == -1) or (P[i][1] == a and vis_N[P[i][0]] == -1): if P[i][0] == a: nxt = P[i][1] else: nxt = P[i][0] #vis_N[a] = 1 vis_N[nxt] = 1 search(nxt) vis_N[nxt] = -1 return# count search(1) print(count)
N, M = list(map(int, input().split())) adj_matrix = [[0]* N for _ in range(N)] for i in range(M): a, b = list(map(int, input().split())) adj_matrix[a-1][b-1] = 1 adj_matrix[b-1][a-1] = 1 def dfs(v, used): if not False in used: return 1 ans = 0 for i in range(N): if not adj_matrix[v][i]: continue if used[i]: continue used[i] = True ans += dfs(i, used) used[i] = False return ans used = [False] * N used[0] = True print((dfs(0, used)))
p03805
# 基本課題 3.経路探索の解を求める # # 5 つの地点 0 ~ 4 を結ぶ道路網が図のようにある ( 図は授業支援システム参照 ) # 始点を 0 とし終点を 4 とした時、0 から 4 に至る経路をすべて求めなさい。 # ただし、同じ地点を2度通ってはいけない # # -*- coding: utf-8 -*- ANS2=[] #0から4までの経路列挙(2次元配列) #引数 #G:道路網を表す2次元配列(隣接リスト) #LT:今のところの経路(だんだん広げていく)(最初は[[0]]) #返り値 #広げられなくなるまで広げた経路 #副作用 #ANS2を更新 #ANS2:0から4までの経路 def loot(G,LT): if LT==[]: return [] else: ANS=[] #今の地点から一回広げた時点での経路 for i in range(len(LT)): for j in range(len(G[LT[i][-1]])): if not(G[LT[i][-1]][j] in LT[i]): TMP=LT[i] ANS.append(TMP+[G[LT[i][-1]][j]]) else: if not LT[i] in ANS2: ANS2.append(LT[i]) return loot(G,ANS) #2次元リストを標準出力 def print_list(lst): for i in range(len(lst)): for j in range(len(lst[i])): print(ANS2[i][j],end=' ') print('') N,M=map(int,input().split()) G=[[] for i in range(N)] for i in range(M): a,b=map(int,input().split()) a-=1 b-=1 G[a].append(b) G[b].append(a) loot(G,[[0]]) cnt=0 for i in ANS2: if len(i)==N: cnt+=1 print(cnt)
# 基本課題 3.経路探索の解を求める # # 5 つの地点 0 ~ 4 を結ぶ道路網が図のようにある ( 図は授業支援システム参照 ) # 始点を 0 とし終点を 4 とした時、0 から 4 に至る経路をすべて求めなさい。 # ただし、同じ地点を2度通ってはいけない # # -*- coding: utf-8 -*- ANS2=[] #0から4までの経路列挙(2次元配列) #引数 #G:道路網を表す2次元配列(隣接リスト) #LT:今のところの経路(だんだん広げていく)(最初は[[0]]) #返り値 #広げられなくなるまで広げた経路 #副作用 #ANS2を更新 #ANS2:0から4までの経路 def loot(G,LT,N): if LT==[]: return [] else: ANS=[] #今の地点から一回広げた時点での経路 for i in range(len(LT)): for j in range(len(G[LT[i][-1]])): if not(G[LT[i][-1]][j] in LT[i]): TMP=LT[i] ANS.append(TMP+[G[LT[i][-1]][j]]) else: if not LT[i] in ANS2: if len(LT[i])==N: ANS2.append(LT[i]) return loot(G,ANS,N) #2次元リストを標準出力 def print_list(lst): for i in range(len(lst)): for j in range(len(lst[i])): print(ANS2[i][j],end=' ') print('') N,M=map(int,input().split()) G=[[] for i in range(N)] for i in range(M): a,b=map(int,input().split()) a-=1 b-=1 G[a].append(b) G[b].append(a) loot(G,[[0]],N) cnt=0 print(len(ANS2))
p03805
import copy N, M = [ int(x) for x in input().split()] class Node: def __init__(self, id): self.id = id self.path = [] self.passed = False def __str__(self): return "id: " + str(self.id) + " path: " + str(self.path) + " passed: " + str(self.passed) nodes = [] for i in range(N): nodes.append(Node(i)) for i in range(M): from_id, to_id = [ int(x) - 1 for x in input().split()] nodes[from_id].path.append(to_id) nodes[to_id].path.append(from_id) def if_all_passed(nodes_current): for node in nodes_current: if not node.passed: return False return True def go_child(id_new, nodes_current): nodes_current[id_new].passed = True if if_all_passed(nodes_current): return 1 count = 0 for i in nodes[id_new].path: if not nodes_current[i].passed: count += go_child(i, copy.deepcopy(nodes_current)) return count count = go_child(0, nodes) print(count)
import copy N, M = [ int(x) for x in input().split() ] class Node: def __init__(self, id): self.id = id self.path = [] def __str__(self): return "id: " + str(self.id) + " path: " + str(self.path) nodes = [] for i in range(N): nodes.append(Node(i)) for i in range(M): from_id, to_id = [ int(x) - 1 for x in input().split() ] nodes[from_id].path.append(to_id) nodes[to_id].path.append(from_id) def if_all_passed(passed_nodes): if len(passed_nodes) == N: return True else: return False def go_child(id_new, passed_nodes): passed_nodes.append(id_new) if if_all_passed(passed_nodes): return 1 count = 0 for i in nodes[id_new].path: if not i in passed_nodes: count += go_child(i, copy.deepcopy(passed_nodes)) return count count = go_child(0, []) print(count)
p03805
import itertools n, m=list(map(int, input().split())) ab=[set(map(int, input().split())) for _ in range(m)] root=list(itertools.permutations(ab, n-1)) cnt=0 for r in root: trace=[i+1 for i in range(n)] other=1 for i in range(0, n-1): if other in r[i]: try: trace.remove(other) except ValueError: break other=list(r[i]-{other})[0] continue else: break try: trace.remove(other) except ValueError: pass if trace==[]: cnt+=1 print(cnt)
N, M = list(map(int, input().split())) adj_matrix = [[0]* N for _ in range(N)] for i in range(M): a, b = list(map(int, input().split())) adj_matrix[a-1][b-1] = 1 adj_matrix[b-1][a-1] = 1 def dfs(v, used): if not False in used: return 1 ans = 0 for i in range(N): if not adj_matrix[v][i]: continue if used[i]: continue used[i] = True ans += dfs(i, used) used[i] = False return ans used = [False] * N used[0] = True print((dfs(0, used)))
p03805
import itertools n, m = list(map(int, input().split())) path = [[False] * n for i in range(n)] for i in range(m): a, b = list(map(int, input().split())) a -= 1 b -= 1 path[a][b] = True path[b][a] = True ans = 0 for i in itertools.permutations(list(range(n)), n): # 頂点1が始点 if i[0] == 0: for j in range(n): if j == n - 1: ans += 1 break if not path[i[j]][i[j + 1]]: break print(ans)
def main(): N, M = list(map(int, input().split())) matrix = [[0] * N for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) matrix[a-1][b-1] = 1 matrix[b-1][a-1] = 1 def dfs(v, used): if False not in used: return 1 ans = 0 for i in range(N): if not matrix[v][i]: continue if used[i]: continue used[i] = True ans += dfs(i, used) used[i] = False return ans used = [False] * N used[0] = True print((dfs(0, used))) if __name__ == '__main__': main()
p03805
import itertools n, m = list(map(int, input().split())) v = [] for i in range(m): tpl = tuple(map(int, input().split())) v.append(tpl) v.append((tpl[1], tpl[0])) perms = list(itertools.permutations(v, n-1)) c = 0 for i in perms: if i[0][0] != 1: continue visited = [] for j in range(len(i)-1): if i[j][1] != i[j+1][0]: break visited.append(i[j][0]) if i[j+1][1] in visited: break else: c += 1 print(c)
import itertools n, m = list(map(int, input().split())) v = [] for i in range(m): tpl = tuple(map(int, input().split())) v.append(tpl) v.append((tpl[1], tpl[0])) perms = list(itertools.permutations(list(range(1, n+1)))) c = 0 for i in perms: if i[0] != 1: continue for j in range(len(i)-1): if (i[j], i[j+1]) not in v: break else: c += 1 print(c)
p03805
from itertools import permutations n,m = list(map(int,input().split())) D = [[0]*n for i in range(n)] for i in range(m): a,b = list(map(int,input().split())) D[a-1][b-1] = 1 D[b-1][a-1] = 1 cnt = 0 for a in permutations(list(range(n))): if a[0] != 0: break tmp = 1 for i in range(n-1): tmp = tmp * D[a[i]][a[i+1]] cnt += tmp print(cnt)
n,m = list(map(int, input().split())) D = [list() for i in range(n)] for i in range(m): a,b = list(map(int,input().split())) D[a-1].append(b-1) D[b-1].append(a-1) d = [0]*n d[0] = 1 cnt = 0 def dfs(x): global cnt if all(d): cnt += 1 return for i in D[x]: if d[i] == 0: d[i] = 1 dfs(i) d[i] = 0 dfs(0) print(cnt)
p03805
def main(): N, M = (int(i) for i in input().split()) edge = [set() for _ in range(N)] for i in range(M): a, b = (int(i) for i in input().split()) edge[a-1].add(b-1) edge[b-1].add(a-1) from itertools import permutations ans = 0 for p in permutations(list(range(1, N))): u = 0 for v in p: if v not in edge[u]: break u = v else: ans += 1 print(ans) if __name__ == '__main__': main()
def main(): import sys input = sys.stdin.buffer.readline from itertools import permutations N, M = (int(i) for i in input().split()) edge = [[] for _ in range(N)] for i in range(M): a, b = (int(i) for i in input().split()) edge[a-1].append(b-1) edge[b-1].append(a-1) ans = 0 for p in permutations(list(range(1, N))): v = 0 for nv in p: if nv in edge[v]: v = nv else: break else: ans += 1 print(ans) if __name__ == '__main__': main()
p03805
import copy N, M = list(map(int,input().split())) E = [list(map(int, input().split())) for _ in range(M)] def dfs(flg, E, i): q = [] for e in E: if e[0] == i: if flg[e[1]-1] == 0: q.append(e[1]) if e[1] == i: if flg[e[0]-1] == 0: q.append(e[0]) if len(q) == 0: if flg.count(0) == 0: return 1 else: return 0 ans = 0 for n in q: temp = copy.deepcopy(flg) temp[n-1] = 1 ans += dfs(temp, E, n) return ans flg = [0 for _ in range(N)] flg[0] = 1 print((dfs(flg, E, 1)))
N, M = list(map(int, input().split())) E = [[] for _ in range(N)] for _ in range(M): ta, tb = list(map(int, input().split())) E[ta-1].append(tb-1) E[tb-1].append(ta-1) def next_permutation(out, cnt, flg): if cnt == N: for i in range(N-1): if out[i+1] not in E[out[i]]: return 0 return 1 ans = 0 for i in range(N): if flg[i] == 0: out.append(i) flg[i] = 1 ans += next_permutation(out, cnt+1, flg) out.pop() flg[i] = 0 return ans perm = [0] cnt = 1 flg = [0 for _ in range(N)] flg[0] = 1 answer = next_permutation(perm, cnt, flg) print(answer)
p03805
import itertools N, M = list(map(int, input().split())) ab = [] for _ in range(M): a, b = list(map(int, input().split())) ab.append({a-1, b-1}) ans = 0 for v in itertools.permutations(list(range(1, N))): ok = True a = 0 for b in v: if {a, b} not in ab: ok = False break a = b if ok: ans += 1 print(ans)
N, M = list(map(int, input().split())) ab = [[] for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) ab[a-1].append(b-1) ab[b-1].append(a-1) ans = 0 def dfs(x, visited): global ans if len(visited) == N: ans += 1 return for b in ab[x]: if b not in visited: dfs(b, visited + [b]) return dfs(0, [0]) print(ans)
p03805
import copy import sys sys.setrecursionlimit(10**7) N, M = list(map(int, input().split())) edges = [[] for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) edges[a - 1].append(b - 1) edges[b - 1].append(a - 1) ans = 0 def dfs(start,path): next_path = copy.copy(path) global ans next_path.append(start) if len(next_path) == N: ans += 1 return for i in edges[start]: if i not in next_path: dfs(i,next_path) dfs(0,[]) print(ans)
def dfs(start,path): res = 0 path.append(start) if len(path) == N: res += 1 return res for i in graph[start]: if i not in path: res += dfs(i,path) path.pop() return res N, M = list(map(int, input().split())) graph = [[] for _ in range(N)] for i in range(M): a, b = list(map(int, input().split())) graph[a-1].append(b-1) graph[b-1].append(a-1) print((dfs(0,[])))
p03805
import sys from itertools import permutations def debug(x, table): for name, val in table.items(): if x is val: print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr) return None cnt = 0 def dfs(N, Adj, p, pos, mask): global cnt if pos == N: for i in range(N - 1): if not Adj[p[i]][p[i + 1]]: break else: cnt += 1 return None for i in range(N): if mask & (1 << i): p[pos] = i dfs(N, Adj, p, pos + 1, (mask ^ (1 << i))) return None def solve(): global cnt cnt = 0 N, M = map(int, input().split()) Adj = [[0]*N for i in range(N)] for i in range(M): a, b = map(int, input().split()) a -= 1 b -= 1 Adj[a][b] = 1 Adj[b][a] = 1 p = list(range(N)) dfs(N, Adj, p, 1, (2 << N) - 1 - 1) print(cnt) if __name__ == '__main__': solve()
import sys from itertools import permutations def debug(x, table): for name, val in table.items(): if x is val: print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr) return None def do_dp(N, Adj): univ = 2**N - 1 dp = [[0]*N for i in range(univ + 1)] dp[1][0] = 1 for S in range(2, univ + 1): for v in range(N): S2 = S & (univ ^ (1 << v)) for u in range(N): if ((1 << u) & S2) and Adj[u][v]: dp[S][v] += dp[S2][u] # debug(dp, locals()) ans = sum(dp[univ][u] for u in range(1, N)) return ans def solve(): N, M = map(int, input().split()) Adj = [[0]*N for i in range(N)] for i in range(M): a, b = map(int, input().split()) a -= 1 b -= 1 Adj[a][b] = 1 Adj[b][a] = 1 ans = do_dp(N, Adj) print(ans) if __name__ == '__main__': solve()
p03805
import sys from itertools import permutations def debug(x, table): for name, val in table.items(): if x is val: print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr) return None def do_dp(N, Adj): univ = 2**N - 1 dp = [[0]*N for i in range(univ + 1)] dp[1][0] = 1 for S in range(2, univ + 1): for v in range(N): S2 = S & (univ ^ (1 << v)) for u in range(N): if ((1 << u) & S2) and Adj[u][v]: dp[S][v] += dp[S2][u] # debug(dp, locals()) ans = sum(dp[univ][u] for u in range(1, N)) return ans def solve(): N, M = map(int, input().split()) Adj = [[0]*N for i in range(N)] for i in range(M): a, b = map(int, input().split()) a -= 1 b -= 1 Adj[a][b] = 1 Adj[b][a] = 1 ans = do_dp(N, Adj) print(ans) if __name__ == '__main__': solve()
import sys def debug(x, table): for name, val in table.items(): if x is val: print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr) return None def do_dp(N, Adj): univ = 2**(N-1) - 1 dp = [[0]*(N-1) for i in range(univ + 1)] for u in range(N - 1): if Adj[0][u+1]: dp[1<<u][u] = 1 for S in range(univ + 1): for v in range(N - 1): S2 = S & (univ ^ (1 << v)) for u in range(N): if ((1 << u) & S2) and Adj[u+1][v+1]: dp[S][v] += dp[S2][u] # debug(dp, locals()) ans = sum(dp[univ][u] for u in range(N - 1)) return ans def solve(): N, M = map(int, input().split()) Adj = [[0]*N for i in range(N)] for i in range(M): a, b = map(int, input().split()) a -= 1 b -= 1 Adj[a][b] = 1 Adj[b][a] = 1 ans = do_dp(N, Adj) print(ans) if __name__ == '__main__': solve()
p03805
# -*- coding: utf-8 -*- from collections import deque N, M = list(map(int, input().split())) Ms = {i:set() for i in range(1, N + 1)} for _ in range(M): a, b = list(map(int, input().split())) Ms[a].add(b) Ms[b].add(a) all = set(range(1, N + 1)) q = deque() q.append((1, [1])) ans = 0 while q: n, v = q.popleft() if set(v) == all: ans += 1 continue for to in Ms[n]: if not to in v: q.append((to, v + [to])) print(ans)
N, M = list(map(int, input().split())) G = [[] for _ in range(N)] for _ in range(M): A, B = list(map(int, input().split())) G[A - 1].append(B - 1) G[B - 1].append(A - 1) path, ans = [[0]], 0 while len(path) > 0: p = path.pop() if len(p) == N: ans += 1 else: for g in G[p[-1]]: if not g in p: path.append(p + [g]) print(ans)
p03805
import itertools as it import sys N, M = list(map(int, input().split())) if N==0 or M==0: print((0)) sys.exit() a=[] for i in range(M): x,y=list(map(int,input().split())) a.append([x,y]) a.append([y,x]) ans=0 for e in it.permutations(list(range(N))): if e[0]!=0: break count=1 for j in range(N-1): if [e[j]+1,e[j+1]+1] in a: count*=1 else: count*=0 break ans+=count print(ans)
import itertools as it import sys N, M = list(map(int, input().split())) a=[] for i in range(M): x,y=list(map(int,input().split())) a.append([x,y]) a.append([y,x]) ans=0 for e in it.permutations(list(range(N))): if e[0]!=0: break count=1 for j in range(N-1): if [e[j]+1,e[j+1]+1] in a: count*=1 else: count*=0 break ans+=count print(ans)
p03805
n,m=list(map(int,input().split())) edges=[[] for i in range(n)] for i in range(m): s,t = list(map(int,input().split())) edges[s-1].append(t-1) edges[t-1].append(s-1) cnt =[0] def dfs(V,s): V[s]=1 if sum(V)==n: cnt[0]+=1 else: for adj in edges[s]: if V[adj] == 0: dfs(V[:adj] + [1] + V[adj + 1:], adj) dfs([0] * n, 0) print((cnt[0]))
n,m=list(map(int,input().split())) edges=[[] for i in range(n)] for i in range(m): s,t = list(map(int,input().split())) edges[s-1].append(t-1) edges[t-1].append(s-1) cnt =0 V=[0]*n def dfs(V,s): global cnt V=V[:] V[s]=1 if sum(V)==n: cnt+=1 else: for v in edges[s]: if V[v]==0: dfs(V,v) # print(V) dfs(V,0) print(cnt)
p03805
n,m=list(map(int,input().split())) edges=[[] for i in range(n)] for i in range(m): s,t = list(map(int,input().split())) edges[s-1].append(t-1) edges[t-1].append(s-1) cnt =0 V=[0]*n def dfs(V,s): global cnt V=V[:] V[s]=1 if sum(V)==n: cnt+=1 else: for v in edges[s]: if V[v]==0: dfs(V,v) # print(V) dfs(V,0) print(cnt)
n,m=list(map(int,input().split())) edges=[[0]*n for i in range(n)] for i in range(m): a,b=list(map(int,input().split())) edges[a-1].append(b-1) edges[b-1].append(a-1) visited=[False]*n count=0 def dfs(u,visited): global count visited=visited[:] visited[u]=True if all(visited): count+=1 return for v in edges[u]: if not visited[v]: dfs(v,visited) return False dfs(0,visited) print(count)
p03805
import array import itertools from collections import defaultdict, deque def log(s): # print("| " + str(s), file=sys.stderr) pass def output(x): print(x, flush=True) def input_ints(): return map(int, input().split()) def solve(): num_nodes, num_edges = tuple(input_ints()) edges = [tuple(input_ints()) for _ in range(num_edges)] navigatility = defaultdict(lambda: []) for e in edges: navigatility[e[0]].append(e[1]) navigatility[e[1]].append(e[0]) queue = deque() queue.append([1]) result = [] while queue: path = queue.popleft() if len(path) == num_nodes: result.append(path) else: n = path[-1] for m in navigatility[n]: if m not in path: queue.append(path + [m]) return result def main(): print(len(solve())) main()
import array import itertools from collections import defaultdict, deque def log(s): # print("| " + str(s), file=sys.stderr) pass def output(x): print(x, flush=True) def input_ints(): return map(int, input().split()) def solve(): num_nodes, num_edges = tuple(input_ints()) edges = [tuple(input_ints()) for _ in range(num_edges)] navigability = defaultdict(lambda: []) for e in edges: navigability[e[0]].append(e[1]) navigability[e[1]].append(e[0]) def solve1(path, result): if len(path) == num_nodes: result.append(path) return for m in navigability[path[-1]]: if m not in path: solve1(path + [m], result) return result return solve1([1], []) def main(): print(len(solve())) main()
p03805
from itertools import permutations N, M = list(map(int, input().split())) edges = [] for i in range(M): a, b = list(map(int, input().split())) edges.append([a-1, b-1]) mat = [[0]*N for _ in range(N)] for s, g in edges: mat[s][g] = 1 mat[g][s] = 1 P = permutations(list(range(N))) ans = 0 for route in P: if route[0] != 0: continue else: vis = 0 for s, g in zip(route, route[1:]): if mat[s][g] == 1: vis += 1 if vis == N-1: ans += 1 continue else: break print(ans)
def bit_dp(N, Adj): dp = [[0]*N for i in range(1 << N)] #dp[{0},0] = 1 dp[1][0] = 1 for S in range(1 << N): for v in range(N): # v がSに含まれていないときはパス if (S & (1 << v)) == 0: continue #sub = S - {v} sub = S ^ (1 << v) for u in range(N): # sub に uが含まれていて、かつ uとvがへんで結ばれている if (sub & (1 << u)) and (Adj[u][v]): dp[S][v] += dp[sub][u] ans = sum(dp[(1 << N) - 1][u] for u in range(1, N)) return ans def main(): N, M = list(map(int, input().split())) Adj = [[False]*N for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) Adj[a-1][b-1] = 1 Adj[b-1][a-1] = 1 ans = bit_dp(N, Adj) print(ans) if __name__ == '__main__': main()
p03805
import itertools N, M = list(map(int, input().split())) adj_matrix = [[0]*N for _ in range(N)] # 隣接行列を作る for i in range(M): a, b = list(map(int, input().split())) adj_matrix[a-1][b-1] = 1 adj_matrix[b-1][a-1] = 1 cnt = 0 for each in itertools.permutations(list(range(N))): if each[0] != 0: # 始点は1でないといけないから break factor = 1 for i in range(N-1): factor *= adj_matrix[each[i]][each[i+1]] cnt += factor print(cnt)
N, M = list(map(int, input().split())) adj_matrix = [[0]*N for _ in range(N)] for i in range(M): a, b = list(map(int, input().split())) adj_matrix[a-1][b-1] = 1 adj_matrix[b-1][a-1] = 1 def dfs(v, used): if not False in used: return 1 ans = 0 for i in range(N): if not adj_matrix[v][i]: continue if used[i]: continue used[i] = True ans += dfs(i, used) used[i] = False return ans used = [False] * N used[0] = True print((dfs(0, used)))
p03805
N, M = list(map(int, input().split())) adj_matrix = [[0]*N for _ in range(N)] for i in range(M): a, b = list(map(int, input().split())) adj_matrix[a-1][b-1] = 1 adj_matrix[b-1][a-1] = 1 def dfs(v, used): if not False in used: return 1 ans = 0 for i in range(N): if not adj_matrix[v][i]: continue if used[i]: continue used[i] = True ans += dfs(i, used) used[i] = False return ans used = [False] * N used[0] = True print((dfs(0, used)))
N, M = list(map(int, input().split())) g = [[] for i in range(N)] for i in range(M): a, b = list(map(int, input().split())) g[a-1].append(b-1) g[b-1].append(a-1) memo = {} All_used = (1 << N) - 1 def dfs(v, used): if used == All_used: return 1 key = (v, used) if key in memo: return memo[key] ans = 0 for u in g[v]: if (used >> u) & 1 ==1: continue used ^= (1 << u) ans += dfs(u, used) used ^= (1 << u) memo[key] = ans return ans print((dfs(0, 1)))
p03805
from collections import deque from copy import deepcopy as dc import sys def main(): input = sys.stdin.readline n, m = list(map(int, input().split())) ab = [list(map(int, input().split())) for i in range(m)] g = [[] for i in range(n+1)] for i in ab: g[i[0]].append(i[1]) g[i[1]].append(i[0]) que = deque() que.append([1,-1,0,set([1])]) ans = 0 while que: v, p, cnt, check = que.popleft() if cnt >= n - 1: if len(check) == n: ans += 1 continue for nv in g[v]: if nv == p: continue a = dc(check) a.add(nv) que.append([nv, v, cnt+1, a]) print(ans) if __name__ == "__main__": main()
from collections import deque from copy import copy as dc import sys def main(): input = sys.stdin.readline n, m = list(map(int, input().split())) ab = [list(map(int, input().split())) for i in range(m)] g = [[] for i in range(n+1)] for i in ab: g[i[0]].append(i[1]) g[i[1]].append(i[0]) que = deque() que.append([1,-1,0,set([1])]) ans = 0 while que: v, p, cnt, check = que.popleft() if cnt >= n - 1: if len(check) == n: ans += 1 continue for nv in g[v]: if nv == p: continue a = dc(check) a.add(nv) que.append([nv, v, cnt+1, a]) print(ans) if __name__ == "__main__": main()
p03805
from collections import deque from copy import copy as dc import sys def main(): input = sys.stdin.readline n, m = list(map(int, input().split())) ab = [list(map(int, input().split())) for i in range(m)] g = [[] for i in range(n+1)] for i in ab: g[i[0]].append(i[1]) g[i[1]].append(i[0]) que = deque() que.append([1,-1,0,set([1])]) ans = 0 while que: v, p, cnt, check = que.popleft() if cnt >= n - 1: if len(check) == n: ans += 1 continue for nv in g[v]: if nv == p: continue a = dc(check) a.add(nv) que.append([nv, v, cnt+1, a]) print(ans) if __name__ == "__main__": main()
import sys sys.setrecursionlimit(4100000) def Dfs(G, v, n, visited): all_visited = True for i in range(n): if visited[i] == False: all_visited = False if all_visited: return 1 ret = 0 for i in range(n): if not G[v][i]: continue if visited[i]: continue visited[i] = True ret += Dfs(G, i, n, visited) visited[i] = False return ret def main(): input = sys.stdin.readline n, m = list(map(int, input().split())) e = [list(map(int, input().split())) for i in range(m)] g = [[False for j in range(n)] for i in range(n)] for i, j in e: g[i-1][j-1] = True g[j-1][i-1] = True visited = [False for i in range(n)] visited[0] = True print((Dfs(g, 0, n, visited))) if __name__ == "__main__": main()
p03805
from itertools import permutations from copy import deepcopy N,M = [int(i) for i in input().split()] links = [[int(i) for i in input().split()] for _ in range(M)] ans = 0 for path in permutations(list(range(2,N+1))): l = deepcopy(links) p_node = 1 for n_node in path: if sorted([p_node,n_node]) in l: l.pop(l.index(sorted([p_node,n_node]))) p_node = n_node continue else: break else: ans += 1 print(ans)
from itertools import permutations from copy import deepcopy N,M = [int(i) for i in input().split()] links = set([input().strip() for _ in range(M)]) ans = 0 for path in permutations(list(range(2,N+1))): l = deepcopy(links) p_node = 1 for n_node in path: e_l = " ".join([str(s) for s in sorted([p_node,n_node])]) if e_l in l: l.remove(e_l) p_node = n_node continue else: break else: ans += 1 print(ans)
p03805
import itertools n,m=list(map(int,input().split())) path=[[False]*n for i in range(n)] for i in range(m): a,b=list(map(int,input().split())) a-=1 b-=1 path[a][b]=True path[b][a]=True ans=0; for i in itertools.permutations(list(range(n)),n): if i[0]==0: for j in range(n): if j==n-1: ans+=1 break if not path[i[j]][i[j+1]]: break print(ans)
def dfs(a,count,seen): nseen=seen[:] ans=0 nseen[a] = 1; if count==n-1: return 1 else: for i in g[a]: if not seen[i]: ans+=dfs(i,count+1,nseen) return ans n,m=list(map(int,input().split())) g=[[]*n for i in range(n)] for i in range(m): a,b=list(map(int,input().split())) a-=1 b-=1 g[a].append(b) g[b].append(a) seen=[0]*n print((dfs(0,0,seen)))
p03805
N, M = list(map(int, input().split())) E = [[] for i in range(M)] for i in range(M): E[i] = [int(x) - 1 for x in input().split()] cnt = 0 for p in range(1, 2 ** M): V = [[] for i in range(N)] idx = 0 while p: if p % 2: V[E[idx][0]].append(E[idx][1]) V[E[idx][1]].append(E[idx][0]) idx += 1 p //= 2 if sum([len(v) for v in V]) == 2 * (N - 1) and len(V[0]) == 1: P = [0] + V[0] while len(V[P[-1]]) == 2: P += [V[P[-1]][0] if V[P[-1]][0] != P[-2] else V[P[-1]][1]] cnt += 1 if len(P) == N else 0 print(cnt)
N, M = list(map(int, input().split())) G = [[] for i in range(N)] for i in range(M): a, b = list(map(int, input().split())) G[a - 1].append(b - 1) G[b - 1].append(a - 1) def dfs(V, v): _V = [v for v in V] _V[v] = 1 cnt = 0 if sum(_V) == N: return 1 else: for adj in G[v]: if _V[adj] == 0: cnt += dfs(_V, adj) return cnt print((dfs([0] * N, 0)))
p03805
n,m=list(map(int, input().split())) alist=[] for i in range(m): a,b=list(map(int, input().split())) alist.append([a,b]) alist.append([b,a]) ans=0 import itertools t=[i for i in range(1,n+1)] blist=list(itertools.permutations(t,n)) ans=0 for i in blist: flag=True for j in range(n-1): if [i[j],i[j+1]] not in alist: flag=False if i[0]!=1: flag=False if flag: ans+=1 print(ans)
n,m=list(map(int, input().split())) alist=[] for i in range(m): a,b=list(map(int, input().split())) alist.append([a,b]) alist.append([b,a]) ans=0 import itertools t=[i for i in range(1,n+1)] blist=list(itertools.permutations(t,n)) ans=0 for i in blist: flag=True for j in range(n-1): if [i[j],i[j+1]] not in alist: flag=False if i[0]!=1: flag=False if flag: ans+=1 print(ans)
p03805
import sys input = sys.stdin.readline from operator import itemgetter lis = [] n = 0 m = 0 ans = 0 def dfs(i, d, fr, used): global lis, ans if i in used: return if d == n - 1: ans += 1 return for j in lis[i]: if j != fr: used.append(i) # print(i+1 , j+1) dfs(j, d+1, i, used) used.pop() def main(): global lis, n, m, ans n, m = list(map(int, input().strip().split())) lis = [[] for _ in range(8)] for _ in range(m): a, b = list([x-1 for x in list(map(int, input().strip().split()))]) lis[a].append(b) lis[b].append(a) # print("##") dfs(0, 0, -1, []) print(ans) if __name__ == '__main__': main()
import sys input = sys.stdin.readline from operator import itemgetter lis = [] n = 0 m = 0 ans = 0 visited = [] def dfs(i, d, fr): global lis, ans, visited if visited[i] == 1: return if d == n - 1: ans += 1 return for j in lis[i]: if j != fr: visited[i] = 1 # print(i+1 , j+1) dfs(j, d+1, i) visited[i] = -1 def main(): global lis, n, m, ans, visited n, m = list(map(int, input().strip().split())) lis = [[] for _ in range(n)] visited = [-1] * n for _ in range(m): a, b = list([x-1 for x in list(map(int, input().strip().split()))]) lis[a].append(b) lis[b].append(a) # print("##") dfs(0, 0, -1) print(ans) if __name__ == '__main__': main()
p03805
import sys input = sys.stdin.readline sys.setrecursionlimit(10**6) ############################## # N = 頂点の数(= 数字の数) # M = 辺の数(= aの行数) N, M = list(map(int, input().split())) graph = [ [0 for _ in range(N)] for _ in range(N) ] visited = [False] * N for i in range(M): a, b = list(map(int, input().split())) graph[a-1][b-1] = 1 graph[b-1][a-1] = 1 #print(graph) # u は 0-index def dfs(u): visited[u] = True if False in visited: pass else: return 1 count = 0 for i in range(N): if graph[u][i] == False: continue if visited[i]: continue visited[i] = True count += dfs(i) visited[i] = False return count count = dfs(0) print(count)
import sys input = sys.stdin.readline sys.setrecursionlimit(10**6) ############################## # https://atcoder.jp/contests/abc054/tasks/abc054_c # N = 頂点の数(= 数字の数) # M = 辺の数(= aの行数) N, M = list(map(int, input().split())) graph = [ [0 for _ in range(N)] for _ in range(N) ] visited = [False] * N for i in range(M): a, b = list(map(int, input().split())) graph[a-1][b-1] = 1 graph[b-1][a-1] = 1 #print(graph) # u は 0-index def dfs(u): if False in visited: pass else: return 1 count = 0 for i in range(N): if graph[u][i] == False: continue if visited[i]: continue visited[i] = True count += dfs(i) visited[i] = False return count visited[0] = True count = dfs(0) print(count)
p03805
#制約が小さいので全探索する n,m=list(map(int,input().split())) #辺があるかどうかが知りたい→隣接行列表現 es=[[0]*n for i in range(n)] for i in range(m): a,b=list(map(int,input().split())) es[a-1][b-1]=1 es[b-1][a-1]=1 #順列を作る from itertools import permutations per=[i+1 for i in range(n-1)] per=list(permutations(per,n-1)) #全探索する ans=0 for i in per: cnt=0 if es[0][i[0]]==0: continue else: for j in range(1,n-1): if es[i[j]][i[j-1]]==0: cnt+=1 if cnt==0: ans=ans+1 print(ans)
n,m=list(map(int,input().split())) # 再帰の深さが1000を超えそうなときはこれをやっておく import sys sys.setrecursionlimit(10**7) #隣接行列表現 es=[[0 for i in range(n)] for j in range(n)] for i in range(m): a,b=list(map(int,input().split())) es[a-1][b-1]=1 es[b-1][a-1]=1 #深さ優先探索 def dfs(v,visited): ans=0 #自分が今いるところは探索済にする visited[v-1]=1 #全部探索できたことになる if visited==check: visited[v-1]=0 return 1 #vから行けるところを考える for i in range(n): #道があって未訪問 if visited[i]==0 and es[v-1][i]==1: ans=ans+dfs(i+1,visited) #次の探索のため未訪問にしておく visited[v-1]=0 return ans visited=[0 for i in range(n)] check=[1 for i in range(n)] print((dfs(1,visited)))
p03805
N, M = list(map(int, input().split())) E = [[] for _ in range(N)] for m in range(M): a, b = list(map(int, input().split())) a -= 1 b -= 1 E[a].append(b) E[b].append(a) check = [False] * N check[0] = True def dfs(v): if sum(check) == N: return 1 ans = 0 for u in E[v]: if check[u]: continue check[u] = True ans += dfs(u) check[u] = False return ans print((dfs(0)))
from itertools import permutations N, M = list(map(int, input().split())) E = [set() for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) E[a-1].add(b-1) E[b-1].add(a-1) ans = 0 for p in permutations([i for i in range(1, N)]): i = 0 for j in p: if j not in E[i]: break i = j else: ans += 1 print(ans)
p03805
from collections import deque def dfs(G, visited, s, n, ans): # すべての頂点を訪れた場合の処理 if all(visited) : ans += 1 return ans # 次の頂点の探索 for i in G[s] : if visited[i] == False : visited[i] = True ans = dfs(G, visited, i, n, ans) visited[i] = False return ans # グラフGの入力 n,m = list(map(int,input().split())) G = [[] for j in range(n)] for i in range(m) : a,b = list(map(int,input().split())) G[a-1].append(b-1) G[b-1].append(a-1) visited = [False for i in range(n)] visited[0] = True ans = 0 print((dfs(G, visited, 0, n, ans)))
# -*- coding: utf-8 -*- n,m = list(map(int, input().split())) graph = [[] for j in range(n)] for i in range(m): a,b = list(map(int, input().split())) graph[a-1].append(b-1) graph[b-1].append(a-1) used = [False]*n used[0] = True def DFS(v,used): if all(used): return 1 ans = 0 for i in graph[v]: if used[i]: continue used[i] = True ans += DFS(i,used) used[i] = False return ans print((DFS(0,used)))
p03805
N,M = list(map(int,input().split())) P=[] for m in range(M): P.append(list(map(int,input().split()))) from itertools import combinations ans=0 for c in combinations(list(range(M)),N-1): visit = [1] P_visit=[] v=0 start=visit[0] while v < 100: v+=1 for c_ in c: if c_ in P_visit: continue if P[c_][0] == start: visit.append(P[c_][1]) start = P[c_][1] P_visit.append(c_) elif P[c_][1] == start: visit.append(P[c_][0]) start = P[c_][0] P_visit.append(c_) if len(set(visit))== N: ans += 1 print(ans)
from itertools import permutations N,M = list(map(int,input().split())) P=[] for m in range(M): P.append(list(map(int,input().split()))) ad={} for _ in range(1,N+1): ad[_]=set() for p in P: ad[p[0]].add(p[1]) ad[p[1]].add(p[0]) ans=0 for p in permutations(list(range(2,N+1)),N-1): ans_flag=True start=1 for p_ in p: end=p_ # print(start,end ,end in ad[start]) if end not in ad[start]: # print('break') ans_flag=False break start=p_ if ans_flag==True: ans+=1 print(ans)
p03805
from collections import defaultdict from itertools import permutations N, M = list(map(int, input().split())) dic = defaultdict(list) for i in range(M): a, b = list(map(int, input().split())) dic[a-1] += [b-1] dic[b-1] += [a-1] ans = 0 ls = permutations(list(range(1,N))) for l in ls: l = [0]+list(l) for i in range(N-1): if not l[i+1] in dic[l[i]]: break if i==N-2: ans += 1 print(ans)
from itertools import permutations N, M, *L = list(map(int, open(0).read().split())) dic = [[] for i in range(N+1)] for a, b in zip(*[iter(L)]*2): dic[a].append(b) dic[b].append(a) ans = 0 for l in permutations(list(range(2,N+1))): l = [1]+list(l) for i in range(N-1): if l[i+1] not in dic[l[i]]: break else: ans += 1 print(ans)
p03805
import sys from itertools import permutations input = sys.stdin.readline def main(): N, M = list(map(int, input().split())) link = [[False] * N for i in range(N)] for i in range(M): a, b = list(map(int, input().split())) link[a-1][b-1] = True link[b-1][a-1] = True ans = 0 path = [i for i in range(1, N)] for p in permutations(path): if link[0][p[0]]: ok = True for i in range(N-2): if not link[p[i]][p[i+1]]: ok = False break if ok: ans += 1 print(ans) if __name__ == "__main__": main()
from itertools import permutations import sys input = sys.stdin.readline def main(): N, M = list(map(int, input().split())) link = [[False] * N for i in range(N)] for i in range(M): a, b = list(map(int, input().split())) link[a-1][b-1] = True link[b-1][a-1] = True ans = 0 for p in permutations(list(range(1, N))): # print(0, p) pre = 0 ok = True for t in p: if not link[pre][t]: ok = False break pre = t if ok: ans += 1 print(ans) if __name__ == "__main__": main()
p03805
N, M = [int(v) for v in input().split()] tbl = [[0] * (N + 1) for _ in range(N+1)] for _ in range(M): a, b = [int(v) for v in input().split()] tbl[a][b] = 1 tbl[b][a] = 1 ans = 0 paths = [[1, ]] while paths: p = paths.pop() for i in range(1, N + 1): if p[-1] == i: continue if tbl[p[-1]][i] and i not in p: np = p + [i] if len(np) == N: ans += 1 paths.append(np) print(ans)
N, M = [int(v) for v in input().split()] tbl = [[0] * (N + 1) for _ in range(N + 1)] def dfs(v, visited): if len(visited) == N: return 1 ans = 0 for i in range(1, N + 1): if i == v: continue if tbl[i][v] == 1 and i not in visited: visited.append(i) ans += dfs(i, visited) visited.pop() return ans for _ in range(M): a, b = [int(v) for v in input().split()] tbl[a][b] = 1 tbl[b][a] = 1 paths = [1, ] print((dfs(1, paths)))
p03805
import sys input_int = lambda:int(eval(input())) input_ints = lambda:list(map(int,input().split())) input_ints_list = lambda:list(input_ints()) input_str = lambda:eval(input()) input_strs = lambda:input().split() input_lines = lambda n,f:[f() for _ in range(n)] import functools,fractions gcd = lambda a:functools.reduce(fractions.gcd,a) # 最大公約数(リスト) lcm_base = lambda a,b:(a*b)//fractions.gcd(a,b) # 最小公倍数(2値) lcm = lambda a:functools.reduce(lcm_base,a,1) # 最小公倍数(リスト) import itertools permutations = lambda a,n:itertools.permutations(a,n) # 順列 combinations = lambda a,n:itertools.combinations(a,n) # 組み合わせ product = lambda a,b:itertools.product(a,b) # 二つのリストの直積 init_array_1dim = lambda v,n:[v for _ in range(n)] init_array_2dim = lambda v,n,m:[[v for _ in range(n)] for _ in range(m)] import math # 四捨五入はround ceil = lambda a:math.ceil(a) # 切り上げ floor = lambda a:math.floor(a) # 切り捨て def dfs(v,n,graph,visited): if all(visited):return 1 ans = 0 for i in range(n): if graph[v][i] == False:continue if visited[i]:continue visited[i] = True ans += dfs(i,n,graph,visited) visited[i] = False return ans def init_graph(n,a,directed=False): visited = init_array_1dim(False,n) graph = init_array_2dim(False,n,n) for e in a: graph[e[0]-1][e[1]-1] = True if not directed:graph[e[1]-1][e[0]-1] = True # 無向グラフの場合 return visited,graph def solution(): N,M = input_ints() ab = input_lines(M,input_ints_list) visited,graph = init_graph(N,ab) visited[0] = True print((dfs(0,N,graph,visited))) if __name__ == '__main__': solution()
import sys input_int = lambda:int(eval(input())) input_ints = lambda:list(map(int,input().split())) input_ints_list = lambda:list(input_ints()) input_str = lambda:eval(input()) input_strs = lambda:input().split() input_lines = lambda n,f:[f() for _ in range(n)] import functools,fractions gcd = lambda a:functools.reduce(fractions.gcd,a) # 最大公約数(リスト) lcm_base = lambda a,b:(a*b)//fractions.gcd(a,b) # 最小公倍数(2値) lcm = lambda a:functools.reduce(lcm_base,a,1) # 最小公倍数(リスト) import itertools permutations = lambda a,n:itertools.permutations(a,n) # 順列 combinations = lambda a,n:itertools.combinations(a,n) # 組み合わせ product = lambda a,b:itertools.product(a,b) # 二つのリストの直積 init_array_1dim = lambda v,n:[v for _ in range(n)] init_array_2dim = lambda v,n,m:[[v for _ in range(n)] for _ in range(m)] import math # 四捨五入はround ceil = lambda a:math.ceil(a) # 切り上げ floor = lambda a:math.floor(a) # 切り捨て def dfs_graph(v,n,graph,visited): if all(visited):return 1 ans = 0 for i in range(n): if graph[v][i] == False:continue if visited[i]:continue visited[i] = True ans += dfs_graph(i,n,graph,visited) visited[i] = False return ans def init_graph(n,a,directed=False): visited = init_array_1dim(False,n) graph = init_array_2dim(False,n,n) for e in a: graph[e[0]-1][e[1]-1] = True if not directed:graph[e[1]-1][e[0]-1] = True # 無向グラフの場合 return visited,graph def solution(): N,M = input_ints() ab = input_lines(M,input_ints_list) visited,graph = init_graph(N,ab) visited[0] = True print((dfs_graph(0,N,graph,visited))) if __name__ == '__main__': solution()
p03805
#!/usr/bin/python # -*- Coding: utf-8 -*- n,m = list(map(int,input().split())) H = [[0 for _ in range(n)] for _ in range(n) ] edge_list = [] for _ in range(m): a, b = list(map(int,input().split())) edge_list.append([a-1,b-1]) H[a-1][b-1] = 1 H[b-1][a-1] = 1 l = [0 for _ in range(n)] ans = 0 l[0] = 1 def dfs(node,x): global ans if x.count(0) == 0: ans += 1 return 0 else: visited = x visited[node] = 1 for node_,edge_ in enumerate(H[node]): if edge_ == 1 and visited[node_] != 1: visited[node_] = 1 visited[node] = 1 dfs(node_,visited) visited[node_] = 0 #頂点iをここで未訪問にすることが一番重要!!!!! dfs(0,l) print(ans)
#!/usr/bin/env python # -*- coding: utf-8 -*- n,m = list(map(int,input().split())) H = [[0 for _ in range(n)] for _ in range(n) ] for _ in range(m): a, b = list(map(int,input().split())) H[a-1][b-1] = 1 H[b-1][a-1] = 1 l = [0 for _ in range(n)] ans = 0 def dfs(node,visited): global ans if visited.count(0) == 0: ans += 1 return 0 else: visited[node] = 1 for node_,edge_ in enumerate(H[node]): if edge_ == 1 and visited[node_] != 1: visited[node_] = 1 visited[node] = 1 dfs(node_,visited) visited[node_] = 0 dfs(0,l) print(ans)
p03805
def abc054_c_one_stroke_paths(): import copy N, M = list(map(int, input().split())) # create graph G G = {} for m in range(M): a, z = list(map(int, input().split())) G[a] = G.get(a, []) G[a].append(z) G[z] = G.get(z, []) G[z].append(a) # print(G) # find all paths if G.get(1, 0) == 0: print((0)) return paths = [] def solve(a, path): path.append(a) if len(path) == N: paths.append(path) return for z in G.get(a): p = copy.copy(path) if z in p: continue solve(z, p) solve(1, []) # print(paths) print((len(paths))) ########## if __name__ == "__main__": abc054_c_one_stroke_paths()
def abc054_c_one_stroke_paths(): N, M = list(map(int, input().split())) # create graph G G = {} for m in range(M): a, z = list(map(int, input().split())) G[a] = G.get(a, []) G[a].append(z) G[z] = G.get(z, []) G[z].append(a) # print(G) # find all paths if G.get(1, 0) == 0: print((0)) return def dfs(a, path): path.append(a) if len(path) == N: return 1 paths = 0 for z in G.get(a): if z in path: continue paths += dfs(z, path[:]) return paths print((dfs(1, []))) ########## if __name__ == "__main__": abc054_c_one_stroke_paths()
p03805
N,M=list(map(int,input().split())) inp=[list(map(int,input().split())) for _ in range(M)] g=[[] for _ in range(N)] [g[a-1].append(b-1) for a,b in inp] [g[b-1].append(a-1) for a,b in inp] from itertools import permutations seq=[i for i in range(N)] test=list(permutations(seq)) cnt=0 for t in test: if t[0]==0: for i in range(N-1): if t[i+1] not in g[t[i]]: break else: cnt+=1 print(cnt)
n,m=list(map(int,input().split())) ab=[list(map(int,input().split())) for _ in [0]*m] g=[[] for _ in [0]*n] [g[a-1].append(b-1) for a,b in ab] [g[b-1].append(a-1) for a,b in ab] from itertools import permutations cnt=0 for i in permutations(list(range(1,n))): i=(0,)+i for j in range(n-1): if i[j+1] not in g[i[j]]: break else: cnt+=1 print(cnt)
p03805
import itertools N, M = list(map(int, input().split())) ab = [] for i in range(M): ab.append(list(map(int, input().split()))) ans = 0 if M >= N - 1: for i in list(itertools.combinations(ab, N - 1)): g = {} for j in range(N): g[j + 1] = [] for j, k in i: g[j].append(k) g[k].append(j) if len(g[1]) == 1: p = 1 q = g[p][0] for j in range(N - 2): l = g[q] if len(l) != 2: break l.remove(p) p = q q = l[0] else: ans += 1 print(ans)
import itertools N, M = list(map(int, input().split())) e = set([]) for i in range(M): a, b = list(map(int, input().split())) e.add((a, b)) ans = 0 for i in list(itertools.permutations(list(range(2, N + 1)))): a = 1 for b in i: if (a, b) in e or (b, a) in e: a = b continue break else: ans += 1 print(ans)
p03805
def na(): return list(map(int, input().split())) n, m = na() edges = [[False for _ in range(n)] for _ in range(n)] for i in range(m): a, b = na() a -= 1 b -= 1 edges[a][b] = True edges[b][a] = True pathes = {'0'}#permutationで求めたpath for i in range(n-1): buf = set() for pre_path in pathes: for v in map(str, list(range(1, n))): if not(v in pre_path): buf.add(pre_path + v) pathes = buf.copy() ##print(pathes) ##print(edges) ans = 0 for path in pathes: flg = True for i in range(1, n): a, b = list(map(int, [path[i-1], path[i]])) ## print(a, b, edges[a][b]) if not edges[a][b]: flg = False break if flg: ans += 1 print(ans)
def ary(r, c, v): return [[v for _ in range(c)] for _ in range(r)] n, m = list(map(int, input().split())) e = ary(n, n, False) for i in range(m): a, b = list(map(int, input().split())) #頂点を0-indexedに変換 a -= 1 b -= 1 e[a][b] = True e[b][a] = True ps = set() ps.add('0') for cnt in range(1, n): t = set() for p in ps: for i in map(str, list(range(1, n))): if not(i in p): t.add(p + i) ps = t.copy() ans = 0 for p in ps: flg = True for i in range(n - 1): a = int(p[i]) b = int(p[i + 1]) if not e[a][b]: flg = False break if flg: ans += 1 print(ans)
p03805
def ary(r, c, v): return [[v for _ in range(c)] for _ in range(r)] n, m = list(map(int, input().split())) e = ary(n, n, False) for i in range(m): a, b = list(map(int, input().split())) #頂点を0-indexedに変換 a -= 1 b -= 1 e[a][b] = True e[b][a] = True ps = set() ps.add('0') for cnt in range(1, n): t = set() for p in ps: for i in map(str, list(range(1, n))): if not(i in p): t.add(p + i) ps = t.copy() ans = 0 for p in ps: flg = True for i in range(n - 1): a = int(p[i]) b = int(p[i + 1]) if not e[a][b]: flg = False break if flg: ans += 1 print(ans)
def main(): import sys sys.setrecursionlimit(10 ** 7) N, M = list(map(int, input().split())) g = tuple(set() for _ in range(N)) for _ in range(M): a, b = (int(x) - 1 for x in input().split()) g[a].add(b) g[b].add(a) def dfs(v=0, visited=1 << 0): if visited == (1 << N) - 1: return 1 ret = 0 for u in g[v]: if (visited >> u) & 1: continue ret += dfs(u, visited | (1 << u)) return ret ans = dfs() print(ans) if __name__ == '__main__': main() # import sys # # sys.setrecursionlimit(10 ** 7) # # input = sys.stdin.readline # rstrip() # int(input()) # map(int, input().split())
p03805
n,m=list(map(int,input().split())) a=[] for i in range(m): ai,bi=list(map(int,input().split())) a.append([ai,bi]) ni=[0]*n nii=[] def pathm(n,a,bi,pcnt,ni): if n==1: pcnt=pcnt+1 # print("2:","n:",n,"bi:",bi,"pcnt:",pcnt) return pcnt else: n=n-1 nii.append(bi) for mm in range(m): if a[mm][0]==bi and not a[mm][1] in nii: # if a[mm][0]==bi : ni[a[mm][1]-1]=1 # print("1:","n:",n,"mm:",mm,"a[mm][1]:",a[mm][1],"pcnt:",pcnt) pcnt=pathm(n,a,a[mm][1],pcnt,ni) if a[mm][1]==bi and not a[mm][0] in nii: # if a[mm][1]==bi and ni[a[mm][0]-1]==0 : ni[a[mm][0]-1]=1 # ni[mm]=1 # print("1:","n:",n,"mm:",mm,"a[mm][0]:",a[mm][0],"pcnt:",pcnt) pcnt=pathm(n,a,a[mm][0],pcnt,ni) nii.pop() return pcnt pcnt=0 pcnt1=pathm(n,a,1,pcnt,ni) print(pcnt1)
q=[] qq=[] def dfs(j,q,icnt,count,n,qq): if len(qq)==n: count+=1 # print("1",n,j,icnt,count,q[j],qq) return count icnt+=1 for j2 in q[j]: if not j2 in qq: qq.append(j2) # print("2",n,j,icnt,count,q[j],qq) count=dfs(j2,q,icnt,count,n,qq) qq.pop() # print("3",n,j,icnt,count,q[j],qq) return count n,m=list(map(int,input().split())) ab=[[0]*2 for i in range(m)] for i in range(m): ab[i]=list(map(int,input().split())) #n=3 #m=3 #ab=[[1,2],[1,3],[2,3]] #n=7 #m=7 #ab=[[1,3],[2,7],[3,4],[4,5],[4,6],[5,6],[6,7]] q=[[]*2 for i in range(n)] for i in range(m): if not q[ab[i][1]-1] in q[ab[i][0]-1]: q[ab[i][0]-1].append(ab[i][1]-1) if not q[ab[i][0]-1] in q[ab[i][1]-1]: q[ab[i][1]-1].append(ab[i][0]-1) #print(q) count=0 j=0 qq=[j] icnt=1 count=dfs(j,q,icnt,count,n,qq) print(count)
p03805
import logging logger = logging.getLogger(__name__) logger.setLevel(logging.DEBUG) h = logging.FileHandler("logtest.log") logger.addHandler(h) N, M = list(map(int, input().split())) open_list = [[] for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) a -= 1 b -= 1 open_list[a].append(b) open_list[b].append(a) logger.info("open_list: {}\n".format(open_list)) # 探索済みリスト closed_list = [False] * N closed_list[0] = True cnt = 0 level = 1 # 深さ優先探索 def dfs(target): global cnt, level logger.info("***********open_list[target]: {}".format(open_list[target])) if all(closed_list): cnt += 1 logger.info("[level: {}] closed_list: {}".format(level, closed_list)) logger.info("cnt: {}".format(cnt)) logger.info("*****************************************") return # open_listリストのnode for node in open_list[target]: logger.info("node: {}".format(node)) logger.info("[level: {}] closed_list: {}".format(level, closed_list)) # 探索済みでない場合 if closed_list[node] is False: # 探索開始 closed_list[node] = True # 再帰 level += 1 dfs(node) level = 1 # levalを戻す closed_list[node] = False logger.info("[level: {}] closed_list: {}".format(level, closed_list)) return dfs(0) print(cnt)
N, M = list(map(int, input().split())) open_list = [[] for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) a -= 1 b -= 1 open_list[a].append(b) open_list[b].append(a) # 探索済みリスト closed_list = [False] * N closed_list[0] = True cnt = 0 level = 1 # 深さ優先探索 def dfs(target): global cnt, level if all(closed_list): cnt += 1 return # open_listリストのnode for node in open_list[target]: # 探索済みでない場合 if closed_list[node] is False: # 探索開始 closed_list[node] = True # 再帰 level += 1 dfs(node) level = 1 # levalを戻す closed_list[node] = False return dfs(0) print(cnt)
p03805
# -*- coding: utf-8 -*- # DFSでやる版 N, M = list(map(int, input().split())) # 入力値の頂点ペア(辺)を格納する配列 a = [0] * M b = [0] * M # 頂点ペアが隣接しているかどうかを格納する配列 graph = [[False for i in range(N)] for j in range(N)] # 入力値の頂点ペア(辺)を格納していくループ for i in range(M): a[i], b[i] = list(map(int, input().split())) # 添字に合わせて入力値から1減らしておく a[i] -= 1 b[i] -= 1 # 入力値の内容に合わせて、隣接していることを記録 graph[a[i]][b[i]] = True graph[b[i]][a[i]] = True cnt = 0 p = [0] * N def dfs(pos, mask): # 関数内で更新して外部で参照する変数のglobal宣言 global cnt # 最後まで到達できた時はここを通る if pos == N: # 前提としてスタート地点(添字0)が0かどうか確認 if p[0] == 0: for i in range(N-1): # 各辺が存在(各頂点ペアが隣接)しているか確認していく if graph[p[i]][p[i+1]] == False: break # 全て存在すれば条件を満たすのでカウント+1 if i == N-2: cnt += 1 return for i in range(N): # 残っている数の中にiがまだ残っている場合 # (maskの中に(1<<i)のビットがまだ残っていればTrueを返す) if mask & (1<<i): p[pos] = i # 残っている数からiを取り除く # (排他的論理和XORで重複部分が0になる) dfs(pos+1, mask^(1<<i)) # 0からN-1までの数の集合 dfs(0, (1<<N)-1) print(cnt) # 参考:2進数の1を左へ3ビット移動(1→8) # (1 << 3)
# -*- coding: utf-8 -*- import sys from itertools import permutations def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(eval(input())) def MAP(): return list(map(int, input().split())) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') sys.setrecursionlimit(10 ** 9) INF = 10 ** 18 MOD = 10 ** 9 + 7 N, M = MAP() edges = set() for i in range(M): a, b = MAP() a -= 1; b -= 1 edges.add((a, b)) edges.add((b, a)) cnt = 0 for perm in permutations(list(range(N))): if perm[0] != 0: continue for i in range(N-1): a = perm[i] b = perm[i+1] if (a, b) not in edges: break else: cnt += 1 print(cnt)
p03805
# -*- coding: utf-8 -*- import sys from itertools import permutations def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(eval(input())) def MAP(): return list(map(int, input().split())) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') sys.setrecursionlimit(10 ** 9) INF = 10 ** 18 MOD = 10 ** 9 + 7 N, M = MAP() edges = set() for i in range(M): a, b = MAP() a -= 1; b -= 1 edges.add((a, b)) edges.add((b, a)) cnt = 0 for perm in permutations(list(range(N))): if perm[0] != 0: continue for i in range(N-1): a = perm[i] b = perm[i+1] if (a, b) not in edges: break else: cnt += 1 print(cnt)
# -*- coding: utf-8 -*- import sys def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(eval(input())) def MAP(): return list(map(int, input().split())) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') sys.setrecursionlimit(10 ** 9) INF = 10 ** 18 MOD = 10 ** 9 + 7 N, M = MAP() G = list2d(N, N, 0) for i in range(M): a, b = MAP() a -= 1; b -= 1 G[a][b] = G[b][a] = 1 # dp[S][i] := 訪問済の頂点集合をSとして、最後に頂点iにいる場合の通り数 dp = list2d(1<<N, N, 0) # 最初は頂点1にいる状態から dp[1][0] = 1 for S in range(1, 1<<N): for i in range(N): # iが遷移元に含まれていない if not S & 1<<i: continue for j in range(N): # jが遷移元に含まれている(ので遷移先にはできない) if S & 1<<j: continue # 辺の張られた頂点間であれば遷移させる if G[i][j]: dp[S|1<<j][j] += dp[S][i] # 全頂点訪問できた通り数を合計する ans = sum(dp[(1<<N)-1]) print(ans)
p03805
#DFS from collections import deque N, M = list(map(int, input().split())) G = [[] for _ in range(N)] for i in range(M): a, b = list(map(int, input().split())) G[a-1].append(b-1) G[b-1].append(a-1) stack = deque([(0, 0)]) visited = [0] * N depth = 0 ans = 0 while stack: now, depth = stack.pop() if depth == N-1: ans += 1 continue visited[depth] = now for nxt in G[now]: if nxt not in visited[:depth+1]: stack.append((nxt, depth+1)) print(ans)
#順列全探索 from itertools import permutations N, M = list(map(int, input().split())) G = [[0]*N for _ in range(N)] for i in range(M): a, b = list(map(int, input().split())) G[a-1][b-1] = 1 G[b-1][a-1] = 1 perms = permutations(list(range(1, N))) ans = 0 for perm in perms: now = 0 for v in perm: if G[now][v] == 0: break now = v else: ans += 1 print(ans)
p03805
from collections import defaultdict from itertools import permutations def main(): N, M = list(map(int, input().split())) g = defaultdict(list) for _ in range(M): a, b = list(map(int, input().split())) g[a].append(b) g[b].append(a) ans = 0 for route in permutations(list(range(2, N + 1)), N - 1): ok = True now = 1 for r in route: if r in g[now]: now = r else: ok = False if ok: ans += 1 print(ans) if __name__ == '__main__': main()
from collections import defaultdict from itertools import permutations def main(): N, M = list(map(int, input().split())) graph = defaultdict(list) for _ in range(M): a, b = list(map(int, input().split())) graph[a].append(b) graph[b].append(a) ans = 0 for route in permutations(list(range(2, N + 1)), N - 1): ok = True now = 1 for node in route: if node in graph[now]: now = node else: ok = False ans += ok print(ans) if __name__ == '__main__': main()
p03805
from collections import defaultdict from itertools import permutations def main(): N, M = list(map(int, input().split())) graph = defaultdict(list) for _ in range(M): a, b = list(map(int, input().split())) graph[a].append(b) graph[b].append(a) ans = 0 for route in permutations(list(range(2, N + 1)), N - 1): ok = True now = 1 for node in route: if node in graph[now]: now = node else: ok = False ans += ok print(ans) if __name__ == '__main__': main()
from collections import defaultdict from itertools import permutations def main(): N, M = list(map(int, input().split())) s = set() for _ in range(M): a, b = list(map(int, input().split())) s.add((a, b)) s.add((b, a)) ans = 0 for x in permutations(list(range(2, N + 1))): now = 1 for i in range(len(x)): if (now, x[i]) not in s: break now = x[i] else: ans += 1 print(ans) if __name__ == '__main__': main()
p03805
import itertools n,m=list(map(int,input().split())) edge=[[]for i in range(n+1)] for i in range(m): a,b=list(map(int,input().split())) edge[a].append(b) edge[b].append(a) ans=0 for i in itertools.permutations(list(range(1,n+1))): if i[0]!=1: continue for j in range(n-1): if i[j+1] not in edge[i[j]]: break else: ans+=1 print(ans)
from itertools import permutations n,m=list(map(int,input().split())) graph=[[] for i in range(n+1)] for i in range(m): a,b=list(map(int,input().split())) graph[a].append(b) graph[b].append(a) ans=0 for i in permutations(list(range(1,n+1))): if i[0]!=1: continue for j in range(n-1): if i[j+1] not in graph[i[j]]: break else: ans+=1 print(ans)
p03805
import itertools N, M = list(map(int, input().split())) edges = {tuple(sorted(map(int, input().split()))) for _ in range(M)} answer = 0 for pattern in itertools.permutations(list(range(2, N+1)), N-1): l = [1] + list(pattern) answer += sum(1 for edge in zip(l, l[1:]) if tuple(sorted(edge)) in edges)==N-1 print(answer)
import itertools N, M = list(map(int, input().split())) edges = {tuple(sorted(map(int, input().split()))) for _ in range(M)} answer = 0 for i in itertools.permutations(list(range(2, N+1)), N-1): l = [1] + list(i) answer += sum(1 for edge in zip(l, l[1:]) if tuple(sorted(edge)) in edges) == N-1 print(answer)
p03805
import itertools N, M = list(map(int, input().split())) edges = [tuple(sorted(map(int, input().split()))) for _ in range(M)] answer = 0 for i in itertools.permutations(list(range(2, N+1)), N-1): l = [1] + list(i) answer += sum(1 for x in zip(l, l[1:]) if tuple(sorted(x)) in edges) == N-1 print(answer)
from itertools import permutations N, M = list(map(int, input().split())) AB = set([tuple(sorted(map(int, input().split()))) for _ in range(M)]) answer = 0 for pattern in permutations(list(range(2, N+1)), N-1): pattern = [1] + list(pattern) for i in zip(pattern[:-1], pattern[1:]): if tuple(sorted(i)) not in AB: break else: answer += 1 print(answer)
p03805
import itertools n, m = list(map(int, input().split())) h = [[0]*n for _ in range(n)] for i in range(m): a, b = list(map(int, input().split())) h[a-1][b-1] = 1 h[b-1][a-1] = 1 ans = 0 x = list(itertools.permutations(list(range(1, n+1)))) for i in range(len(x)): if x[i][0] == 1: for j in range(n-1): if h[x[i][j]-1][x[i][j+1]-1] == 0: break else: ans += 1 print(ans)
import itertools n, m = list(map(int, input().split())) g = [[0]*n for _ in range(n)] for _ in range(m): a, b = list(map(int, input().split())) a, b = a-1, b-1 g[a][b] = 1 g[b][a] = 1 a = list(itertools.permutations(list(range(n)))) ans = 0 for i in a: if i[0] != 0: break for j in range(n-1): if g[i[j]][i[j+1]] == 0: break else: ans += 1 print(ans)
p03805
import sys from itertools import permutations def solve(): input = sys.stdin.readline N, M = list(map(int, input().split())) Edge = [[] for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) Edge[a-1].append(b-1) Edge[b-1].append(a-1) count = 0 for s in permutations(list(range(N)), N): Visited = [False for _ in range(N)] for i, n in enumerate(s): if i == 0: if n != 0: break else: Visited[0] = True else: if n in Edge[s[i-1]]: Visited[n] = True else: break else: count += 1 print(count) return 0 if __name__ == "__main__": solve()
import sys from itertools import permutations def solve(): N, M = list(map(int, input().split())) Edge = [[] for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) Edge[a-1].append(b-1) Edge[b-1].append(a-1) count = 0 for order in permutations(list(range(N))): if order[0] != 0: continue for i in range(N-1): if order[i+1] not in Edge[order[i]]: break else: count += 1 print(count) return 0 if __name__ == "__main__": solve()
p03805
# -*- coding: utf-8 -*- line = input().split(" ") n = int(line[0]) m = int(line[1]) edge = [[] for _ in range(n+1)] for _ in range(m): line = input().split(" ") a = int(line[0]) b = int(line[1]) edge[a].append(b) edge[b].append(a) visited = [False for _ in range(n+1)] visited[0] = True#dummy visited[1] = True def solve(x): allVisited = True for e in visited: allVisited = allVisited and e if allVisited: return 1 ret = 0 for e in edge[x]: if not visited[e]: visited[e] = True ret += solve(e) visited[e] = False return ret print((solve(1)))
# -*- coding: utf-8 -*- n,m = list(map(int, input().split())) edge = [[] for _ in range(n+1)] for _ in range(m): a,b = list(map(int, input().split())) a -= 1 b -= 1 edge[a].append(b) edge[b].append(a) visited = [False for _ in range(n)] def dfs(v): if all(visited): return 1 res = 0 for e in edge[v]: if not visited[e]: visited[e] = True res += dfs(e) visited[e] = False return res visited[0] = True print((dfs(0)))
p03805
n,m=list(map(int,input().split())) e=[[]for _ in[0]*-~n] for _ in[0]*m: a,b=list(map(int,input().split())) e[a]+=[b] e[b]+=[a] candy=[[1]] for _ in[0]*~-n: tmp=[] for c in candy: for next in e[c[-1]]: tmp+=[c+[next]] candy=tmp print((sum(c==set(range(1,n+1))for c in map(set,candy))))
from itertools import permutations N, M = list(map(int, input().split())) edges = set() for _ in range(M): a, b = list(map(int, input().split())) edges.add((a, b)) edges.add((b, a)) cnt = 0 for p in permutations(list(range(2, N + 1))): cnt += all(move in edges for move in zip((1,) + p, p)) print(cnt)
p03805
# 入力 import sys stdin = sys.stdin def li(): return [int(x) for x in stdin.readline().split()] def li_(): return [int(x)-1 for x in stdin.readline().split()] def lf(): return [float(x) for x in stdin.readline().split()] def ls(): return stdin.readline().split() def ns(): return stdin.readline().rstrip() def lc(): return list(ns()) def ni(): return int(ns()) def nf(): return float(ns()) from itertools import permutations # 全探索をするのです n,m = li() edges = set() for _ in range(m): a,b = li() edges.add((a,b)) edges.add((b,a)) paths = permutations([str(i) for i in range(2,n+1)],n-1) cnt = 0 for path in paths: path = [1] + [int(i) for i in path] exist = True for i in range(n-1): if not (path[i], path[i+1]) in edges: exist = False if exist: cnt += 1 print(cnt)
import sys stdin = sys.stdin sys.setrecursionlimit(10**5) def li(): return list(map(int, stdin.readline().split())) def li_(): return [int(x)-1 for x in stdin.readline().split()] def lf(): return list(map(float, stdin.readline().split())) def ls(): return stdin.readline().split() def ns(): return stdin.readline().rstrip() def lc(): return list(ns()) def ni(): return int(stdin.readline()) def nf(): return float(stdin.readline()) from itertools import permutations n,m = li() graph = [[False]*n for _ in range(n)] for _ in range(m): a,b = li_() graph[a][b] = True graph[b][a] = True cands = list(permutations([i for i in range(1,n)])) ans = 0 for c in cands: cand = [0] + list(c) ok = True for i in range(n-1): if not graph[cand[i+1]][cand[i]]: ok = False if ok: ans += 1 print(ans)
p03805
N,M = list(map(int,input().split())) G = {} for _ in range(M): a,b = list(map(int,input().split())) if a not in G: G[a] = [] G[a].append(b) if b not in G: G[b] = [] G[b].append(a) hist = [0 for _ in range(N+1)] stack = [1] hist[1] = 1 cnt = 0 F = {} while stack: cur = stack[-1] if cur not in F: F[cur] = G[cur][:] F[cur] = iter(F[cur]) F1 = list(F[cur]) # print("cur={},F1={}".format(cur,F1)) if len(F1)>0: F[cur] = iter(F1) x = next(F[cur]) if hist[x]==0: stack.append(x) hist[x] = 1 else: if sum(hist)==N: cnt += 1 hist[cur]=0 del F[cur] stack.pop() else: # print("cur={}".format(cur)) # print("stack={}".format(stack)) if sum(hist)==N: cnt += 1 hist[cur]=0 del F[cur] stack.pop() print(cnt)
from itertools import permutations def check(i,j): if j==N-2 and x[j] in G[i]: return True if x[j] in G[i]: return check(x[j],j+1) return False N,M = list(map(int,input().split())) G = {i:[] for i in range(1,N+1)} for _ in range(M): a,b = list(map(int,input().split())) G[a].append(b) G[b].append(a) cnt = 0 for x in permutations(list(range(2,N+1)),N-1): if check(1,0): cnt += 1 print(cnt)
p03805
import math from math import gcd,pi,sqrt INF = float("inf") MOD = 10**9 + 7 import sys sys.setrecursionlimit(10**6) import itertools import bisect from collections import Counter,deque def i_input(): return int(eval(input())) def i_map(): return list(map(int, input().split())) def i_list(): return list(i_map()) def i_row(N): return [i_input() for _ in range(N)] def i_row_list(N): return [i_list() for _ in range(N)] def s_input(): return eval(input()) def s_map(): return input().split() def s_list(): return list(s_map()) def s_row(N): return [s_input for _ in range(N)] def s_row_str(N): return [s_list() for _ in range(N)] def s_row_list(N): return [list(s_input()) for _ in range(N)] def main(): N,m = i_map() l = [[0]*N for i in range(N)] for i in range(m): a,b = i_map() a -= 1 b -= 1 l[a][b] = 1 l[b][a] = 1 L = [] def dfs(n,a): a = a + str(n) if len(a) == N: L.append(1) return for i in range(N): if l[n][i] == 1 and str(i) not in a: dfs(i,a) dfs(0,"") print((len(L))) if __name__=="__main__": main()
import math from math import gcd,pi,sqrt INF = float("inf") MOD = 10**9 + 7 import sys sys.setrecursionlimit(10**6) import itertools import bisect from collections import Counter,deque def i_input(): return int(eval(input())) def i_map(): return list(map(int, input().split())) def i_list(): return list(i_map()) def i_row(N): return [i_input() for _ in range(N)] def i_row_list(N): return [i_list() for _ in range(N)] def s_input(): return eval(input()) def s_map(): return input().split() def s_list(): return list(s_map()) def s_row(N): return [s_input for _ in range(N)] def s_row_str(N): return [s_list() for _ in range(N)] def s_row_list(N): return [list(s_input()) for _ in range(N)] def main(): global L N,m = i_map() l = [[0]*N for i in range(N)] for i in range(m): a,b = i_map() a -= 1 b -= 1 l[a][b] = 1 l[b][a] = 1 L = 0 v = [0] * N v[0] = 1 def dfs(n): global L if 0 not in v: L += 1 return for i in range(N): if l[n][i] == 1 and v[i] == 0: v[i] = 1 dfs(i) v[i] = 0 dfs(0) print(L) if __name__=="__main__": main()
p03805
from collections import defaultdict import itertools n, m = list(map(int, input().split())) connected_dict = defaultdict(lambda: []) for i in range(m): a, b = list(map(int, input().split())) connected_dict[a].append(b) connected_dict[b].append(a) count = 0 for permutation in list(itertools.permutations(list(range(2, n + 1)))): flag = True pre_num = 1 for num in permutation: if num not in connected_dict[pre_num]: flag = False break pre_num = num if flag: count += 1 print(count)
# One-stroke Path import itertools n, m = list(map(int, input().split())) ab = {} for i in range(n+1): ab[i] = [] for i in range(m): a, b = list(map(int, input().split())) ab[a].append(b) ab[b].append(a) count = 0 for values in list(itertools.permutations(list(range(2, n+1)))): pre = 1 for i, v in enumerate(values): if(v not in ab[pre]): break if i == n-2: count += 1 pre = v print(count)
p03805
import itertools N,M=list(map(int,input().split())) ab=list(list(map(int,input().split())) for _ in range(M)) l=list(l for l in range(1,N+1)) numlist=list(itertools.permutations(l)) ans=0 for I in numlist: if I[0]==1 and all(sorted([I[j],I[j+1]]) in ab for j in range(N-1)): ans+=1 print(ans)
import itertools n, m = list(map(int, input().split())) path = [[False] * n for i in range(n)] for i in range(m): a, b = list(map(int, input().split())) a -= 1 b -= 1 path[a][b] = True path[b][a] = True ans = 0 for i in itertools.permutations(list(range(n)), n): if i[0] == 0: for j in range(n): if j == n - 1: ans += 1 break if not path[i[j]][i[j + 1]]: break print(ans)
p03805
from copy import deepcopy def solve(road, num, ans, n): pattern = 0 test = deepcopy(road) if ans.count(str(num)) > 1: return 0 if len(ans) is n: return 1 if len(road[num - 1]) == int(0): return 0 else: for i in range(len(road[num - 1])): tmp = test[num - 1][-1] if tmp is not 0: word = ans + str(tmp) test[num - 1].pop() pattern += solve(test, tmp, word, n) return pattern N, M = [int(i) for i in input().split()] town = [] for i in range(N): town.append(deepcopy([])) for i in range(M): a, b = [int(i) for i in input().split()] town[a - 1].append(b) town[b - 1].append(a) print((solve(town, 1, '1', N)))
from copy import deepcopy def solve(road, num, ans, n): pattern = 0 test = deepcopy(road) for s in test: if num in s: s.remove(num) if len(ans) is n: return 1 if len(test[num - 1]) == int(0): return 0 else: for i in range(len(test[num - 1])): tmp = test[num - 1][i] if tmp is not 0: word = ans + str(tmp) pattern += solve(test, tmp, word, n) return pattern N, M = [int(i) for i in input().split()] town = [] for i in range(N): town.append(deepcopy([])) for i in range(M): a, b = [int(i) for i in input().split()] if a is not 1 or b is not 1: town[a - 1].append(b) town[b - 1].append(a) print((solve(town, 1, '1', N)))
p03805
from copy import deepcopy def solve(road, num, ans, n): pattern = 0 test = deepcopy(road) for s in test: if num in s: s.remove(num) if len(ans) is n: return 1 if len(test[num - 1]) == int(0): return 0 else: for i in range(len(test[num - 1])): tmp = test[num - 1][i] if tmp is not 0: word = ans + str(tmp) pattern += solve(test, tmp, word, n) return pattern N, M = [int(i) for i in input().split()] town = [] for i in range(N): town.append(deepcopy([])) for i in range(M): a, b = [int(i) for i in input().split()] if a is not 1 or b is not 1: town[a - 1].append(b) town[b - 1].append(a) print((solve(town, 1, '1', N)))
N, M = [int(i) for i in input().split()] road = [list() for i in range(N + 1)] for i in range(M): a, b = [int(i) for i in input().split()] road[a].append(b) road[b].append(a) def solve(before, visited, now): visited.append(now) if len(visited) is N: return 1 pattern = 0 for way in road[now]: if way is now: continue if way in visited: continue pattern += solve(now, visited[:], way) return pattern print((solve(0, [], 1)))
p03805
N,M=list(map(int,input().split())) edges=[[] for _ in range(N)] for i in range(M): a,b=list(map(int,input().split())) edges[a-1]+=[b-1] edges[b-1]+=[a-1] vis=[1]+[0]*(N-1)#訪問フラグ ans=0 def DFS(v): global ans if vis==[1]*N: ans+=1 return 0 for u in edges[v]: if vis[u]==0: vis[u]=1 DFS(u) vis[u]=0 else: return 0 DFS(0) print(ans)
N,M=list(map(int,input().split())) edges=[[] for _ in range(N)] for i in range(M): a,b=list(map(int,input().split())) edges[a-1]+=[b-1] edges[b-1]+=[a-1] vis=[1]+[0]*(N-1)#訪問フラグ def DFS(v): if vis==[1]*N: return 1 ret=0 for u in edges[v]: if vis[u]==0: vis[u]=1 ret+=DFS(u) vis[u]=0 else: return ret print((DFS(0)))
p03805
import itertools N, M = list(map(int, input().split())) adj_matrix = [[0]* N for _ in range(N)] for i in range(M): #隣接行列 a, b = list(map(int, input().split())) adj_matrix[a-1][b-1] = 1 adj_matrix[b-1][a-1] = 1 cnt = 0 for each in itertools.permutations(list(range(N))): if each[0] != 0: break factor = 1 for i in range(N-1): factor *= adj_matrix[each[i]][each[i+1]] cnt += factor print(cnt)
N, M = list(map(int, input().split())) matrix=[[0]*N for i in range(N)] for i in range(M): a, b = list(map(int, input().split())) matrix[a-1][b-1]=1 matrix[b-1][a-1]=1 import itertools count=0 for i in itertools.permutations(list(range(N))): if i[0]==0: result=1 for j in range(N-1): result*=matrix[i[j]][i[j+1]] if result==1: count+=1 else: break print(count)
p03805
import copy n, m = list(map(int, input().split())) adjacent_list = [[] for i in range(n+1)] for i in range(m): a, b = list(map(int, input().split())) adjacent_list[a].append(b) adjacent_list[b].append(a) ans = 0 def dfs(node, finished): #print("node {} finished {}".format(node, finished)) finished.add(node) global ans if len(finished) == n: ans += 1 else: for i in adjacent_list[node]: if i not in finished: passed = copy.deepcopy(finished) dfs(i, passed) dfs(1,set([1])) print(ans)
import copy n, m = list(map(int, input().split())) adjacent_list = [[] for i in range(n+1)] for i in range(m): a, b = list(map(int, input().split())) adjacent_list[a].append(b) adjacent_list[b].append(a) ans = 0 def dfs(node,f): f.add(node) global ans if len(f) == n: ans += 1 else: for i in adjacent_list[node]: if i not in f: k = copy.deepcopy(f) dfs(i,k) dfs(1,set()) print(ans)
p03805
import copy n, m = list(map(int, input().split())) adjacent_list = [[] for i in range(n+1)] for i in range(m): a, b = list(map(int, input().split())) adjacent_list[a].append(b) adjacent_list[b].append(a) ans = 0 def dfs(node,f): f.add(node) global ans if len(f) == n: ans += 1 else: for i in adjacent_list[node]: if i not in f: k = copy.deepcopy(f) dfs(i,k) dfs(1,set()) print(ans)
n, m = list(map(int, input().split())) adjacent_list = [[] for i in range(n+1)] for i in range(m): a, b = list(map(int, input().split())) adjacent_list[a].append(b) adjacent_list[b].append(a) ans = 0 def dfs(node,f): global ans if len(f) == n: ans += 1 else: for i in adjacent_list[node]: if i not in f: k = f | set([i]) dfs(i,k) dfs(1,set([1])) print(ans)
p03805
# -*- coding: utf-8 -*- import copy n,m = list(map(int,input().split())) rinset = [[0]*(n+1) for _ in range(n+1)] for _ in range(m): a,b = list(map(int,input().split())) rinset[a][b]=b rinset[b][a]=a cnt = 0 def solve(start,visitted): global cnt visitted = copy.deepcopy(visitted) visitted.append(start) if len(visitted) == n: cnt+=1 return next_start=[i for i in rinset[start] if (i>1 and i not in visitted)] for i in next_start: solve(i,visitted) solve(1,[]) print(cnt)
# -*- coding: utf-8 -*- n,m = list(map(int,input().split())) ab = [list(map(int,input().split())) for i in range(m)] #逆順にしたもの追加 ab += [[b,a] for a,b in ab] #辺id付きで、idがfrom,abi[from]=[to1,to2,...] のリスト abi = [[] for _ in range(n+1)] for i,(a,b) in enumerate(ab): abi[a].append(b) #再起のlimitを上げる import sys sys.setrecursionlimit(4100000) def dfs(idx=1,visitted=[1],cnt=1): ret = 0 if cnt==n: return 1 for to in abi[idx]: if to not in visitted: ret += dfs(to,visitted+[to],cnt+1) return ret print((dfs()))
p03805
import itertools N, M = list(map(int, input().split())) E = [[] for i in range(N)] for i in range(M): a, b = list(map(int, input().split())) a -= 1 b -= 1 E[a].append(b) E[b].append(a) count = 0 for V in itertools.permutations(list(range(1, N))): if V[0] in E[0] and all(V[i] in E[V[i-1]] for i in range(1, N-1)): count += 1 print(count)
from itertools import permutations def int0(s): return int(s) - 1 def main(): N, M = list(map(int, input().split())) edges = [tuple(map(int0, input().split())) for _ in range(M)] to = [[False]*N for _ in range(N)] for a, b in edges: to[a][b] = True to[b][a] = True ans = 0 for p in permutations(list(range(1, N))): if to[0][p[0]] and all(to[p[i]][p[i+1]] for i in range(N-2)): ans += 1 print(ans) if __name__ == "__main__": main()
p03805
import itertools N, M = list(map(int, input().split())) edges = [list([int(x) - 1 for x in input().split()]) for _ in range(M)] res = 0 if M < N - 1: print(res) else: for path in itertools.permutations(edges, N - 1): vertex = [True] * N v = 0 vertex[v] = False for edge in path: if v in edge: nv = edge[0] if v == edge[1] else edge[1] if vertex[nv]: vertex[nv] = False v = nv continue break else: res += 1 print(res)
N, M = list(map(int, input().split())) edges = [[] for _ in range(N)] for _ in range(M): a, b = list(map(int, input().split())) edges[a - 1].append(b - 1) edges[b - 1].append(a - 1) def dfs(node, track): if len(track) == N: global res res += 1 else: for dst in [x for x in edges[node] if x not in track]: dfs(dst, track + tuple([dst])) res = 0 dfs(0, tuple([0])) print(res)
p03805
import itertools N, M = list(map(int, input().split())) edges = [tuple([int(x) - 1 for x in input().split()]) for _ in range(M)] res = 0 if M < N - 1: print(res) else: for course in itertools.combinations(edges, N - 1): num_of_v = [0] * N for edge in course: num_of_v[edge[0]] += 1 num_of_v[edge[1]] += 1 if num_of_v[0] != 1 and max(num_of_v) != 2: continue for root in itertools.permutations(course): vertex = [False] + [True] * (N - 1) v = 0 for edge in root: if v in edge: nv = edge[0] if v == edge[1] else edge[1] if vertex[nv]: vertex[nv] = False v = nv continue break else: res += 1 print(res)
def main(): import sys from itertools import permutations # readline = sys.stdin.buffer.readline readlines = sys.stdin.readlines N, M = list(map(int, input().split())) edge = [[0] * N for _ in range(N)] for s in readlines(): a, b = list(map(int, s.split())) a -= 1; b -= 1 edge[a][b] = 1 edge[b][a] = 1 cnt = 0 for path in permutations(list(range(1, N))): path = [0] + list(path) for i in range(N - 1): v = path[i] nv = path[i + 1] if edge[v][nv] == 0: break else: cnt += 1 print(cnt) if __name__ == "__main__": main()
p03805
import itertools N,M=list(map(int,input().split())) edges={tuple(sorted(map(int,input().split()))) for i in range(M)} ans=0 for i in itertools.permutations(list(range(2,N+1)),N-1): l=[1]+list(i) ans+=sum(1 for edge in zip(l,l[1:]) if tuple(sorted(edge)) in edges)==N-1 print(ans)
import itertools N,M=list(map(int,input().split())) edges={tuple(sorted(map(int,input().split()))) for i in range(M)} ans=0 for i in itertools.permutations(list(range(2,N+1))): l=[1]+list(i) ans+=sum(1 for edge in zip(l,l[1:]) if tuple(sorted(edge)) in edges)==N-1 print(ans)
p03805
import copy n, m = list(map(int, input().split())) ab = [list(map(int, input().split())) for _ in range(m)] cnt = 0 fin = set([i + 1 for i in range(n)]) def path(now, edges, past): global cnt if set(past) == fin: cnt += 1 return 0 for i in range(len(edges)): if now == edges[i][0] and edges[i][1] not in past: new_now = edges[i][1] new_edges = copy.deepcopy(edges) new_past = copy.deepcopy(past) new_edges.pop(i) new_past.append(edges[i][1]) # print("now", now, "edges", edges, "new", new_edges, "past", past, "cnt", cnt) path(new_now, new_edges, new_past) elif now == edges[i][1] and edges[i][0] not in past: new_now = edges[i][0] new_edges = copy.deepcopy(edges) new_past = copy.deepcopy(past) new_edges.pop(i) new_past.append(edges[i][0]) # print("now", now, "edges", edges, "new", new_edges, "past", past, "cnt", cnt) path(new_now, new_edges, new_past) for i in range(m): if ab[i][0] == 1: edges = copy.deepcopy(ab) edges.pop(i) path(ab[i][1], edges, [1, ab[i][1]]) elif ab[i][1] == 1: edges = copy.deepcopy(ab) edges.pop(i) path(ab[i][0], edges, [1, ab[i][0]]) print(cnt)
import itertools n, m = list(map(int, input().split())) ab = set() for _ in range(m): a, b = list(map(int, input().split())) ab.add((a, b)) ab.add((b, a)) cnt = 0 for x in itertools.permutations(list(range(1, n + 1))): if x[0] != 1: break flag = True for i in range(len(x)-1): if (x[i], x[i + 1]) not in ab: flag = False break if flag: cnt += 1 print(cnt)
p03805
N,M = list(map(int,input().split())) vertex = [[0 for j in range(N+1)] for i in range(N+1)] AB = [list(map(int,input().split())) for _ in range(M)] for i in range(M): a,b = AB[i] vertex[a][b] = 1 vertex[b][a] = 1 from itertools import permutations ans = 0 for v in permutations([i+2 for i in range(N-1)], N-1): v = [1] + list(v) canmake = 1 for j in range(N-1): if not vertex[v[j]][v[j+1]]: canmake = 0 break if canmake: ans += 1 print(ans)
N,M = list(map(int,input().split())) vertex = [[0 for j in range(N+1)] for i in range(N+1)] for i in range(M): a,b = list(map(int,input().split())) vertex[a][b] = 1 vertex[b][a] = 1 from itertools import permutations ans = 0 for v in permutations([i+2 for i in range(N-1)], N-1): v = [1] + list(v) canmake = 1 for j in range(N-1): if not vertex[v[j]][v[j+1]]: canmake = 0 break if canmake: ans += 1 print(ans)
p03805
import itertools N,M=list(map(int,input().split())) edges={tuple(sorted(map(int,input().split()))) for i in range(M)} ans=0 for i in itertools.permutations(list(range(2,N+1)),N-1): l=[1]+list(i) ans+=sum(1 for edge in zip(l,l[1:]) if tuple(sorted(edge)) in edges)==N-1 print(ans)
import itertools N,M=list(map(int,input().split())) edges=set() for _ in range(M): a,b =list(map(int,input().split())) edges.add((a,b)) edges.add((b,a)) answer=0 for p in itertools.permutations(list(range(1,N+1))): if p[0] !=1: continue bl=True for i in range(N-1): if(p[i],p[i+1]) not in edges: bl =False break if bl: answer +=1 print(answer)
p03805
N, M = list(map(int, input().split())) v = [] for i in range(M): line = list(map(int, input().split())) v.append([x - 1 for x in line]) conn = [] for _ in range(N): conn.append([False] * N) visited = [False] * N for start, end in v: conn[start][end] = conn[end][start] = True def dfs(now, depth): if visited[now]: return 0 if depth == N - 1: return 1 visited[now] = True ret = 0 for i in range(N): if conn[now][i]: ret += dfs(i, depth + 1) visited[now] = False return ret print((dfs(0,0)))
N, M = list(map(int, input().split())) d = [[False for i in range(N)] for i in range(N)] visited = [False] * N for i in range(M): a, b = list(map(int, input().split())) a -= 1 b -= 1 d[a][b] = True d[b][a] = True def dfs(now, depth): if visited[now]: return 0 if depth == N - 1: return 1 ret = 0 visited[now] = True for i in range(N): if d[now][i]: ret += dfs(i, depth + 1) visited[now] = False return ret print((dfs(0,0)))
p03805
import itertools def sonzai(path, start, goal): for i in path: if start in i: if start > goal: if i[0] == goal: return True else: if i[1] == goal: return True return False n, m = list(map(int, input().split())) path = [] for i in range(m): a, b = list(map(int, input().split())) path.append([a, b]) ans = 0 for i in itertools.permutations(list(range(2, n + 1))): if not sonzai(path, 1, i[0]): continue for j in range(n - 1): if j == n - 2: ans += 1 break if not sonzai(path, i[j], i[j + 1]): break print(ans)
import itertools n, m = list(map(int, input().split())) graph = [[0 for i in range(n)] for j in range(n)] for i in range(m): a, b = list(map(int, input().split())) graph[a - 1][b - 1] = 1 graph[b - 1][a - 1] = 1 ans = 0 for i in itertools.permutations(list(range(2, n + 1))): if not graph[0][i[0] - 1]: continue for j in range(n - 1): if j == n - 2: ans += 1 break if not graph[i[j] - 1][i[j + 1] - 1]: break print(ans)
p03805
import itertools as it N, M = list(map(int, input().split())) graph = [[] for i in range(N)] for i in range(M): a, b = list(map(int, input().split())) a, b = a - 1, b - 1 graph[a].append(b) graph[b].append(a) ans = 0 for path in it.permutations(list(range(N))): if path[0] != 0: continue is_connected = True for ith_edge in range(len(path) - 1): if path[ith_edge + 1] not in graph[path[ith_edge]]: is_connected = False break if is_connected: ans += 1 print(ans)
import itertools as it N, M = list(map(int, input().split())) graph = [[] for i in range(N)] for i in range(M): a, b = list(map(int, input().split())) a, b = a - 1, b - 1 graph[a].append(b) graph[b].append(a) ans = 0 for path in it.permutations(list(range(N))): if path[0] != 0: break is_connected = True for ith_edge in range(len(path) - 1): if path[ith_edge + 1] not in graph[path[ith_edge]]: is_connected = False break if is_connected: ans += 1 print(ans)
p03805
from itertools import permutations def main(): n, m = list(map(int, input().split())) edge = set() for _ in range(m): a, b = [int(x)-1 for x in input().split()] edge.add((a, b)) edge.add((b, a)) #全ノード間に辺が張っていると仮定する #このとき全てのノードを廻る順番は順列の数だけある #ここから条件を絞って数えるべきものを数えていく #ノードを廻る順を構成する node_num = [] for i in range(n): node_num.append(i) cnt = 0 for p in permutations(node_num): #数える経路は始点が0である if p[0] == 0: #この順列pの通りに辿れるように辺が張っているならこの経路は数えるべき経路である flag = True for i in range(n-1): #この順列のあるノード間に辺が存在しないならこの経路は不可能 if (p[i], p[i+1]) not in edge: flag = False if flag: cnt += 1 print(cnt) main()
#python3 from itertools import permutations def main(): n, m = list(map(int, input().split())) edge = set() for _ in range(m): a, b = list(map(int, input().split())) edge.add((a-1, b-1)) edge.add((b-1, a-1)) node = [] for i in range(n): node.append(i) cnt = 0 for p in permutations(node): if p[0] == 0: f = True for j in range(n-1): if (p[j], p[j+1]) not in edge: f = False if f: cnt += 1 print(cnt) main()
p03805
from itertools import permutations n, m = list(map(int, input().split())) edges = [tuple(map(int, input().split())) for _ in range(m)] ans = 0 for i in permutations(list(range(2, n+1)), n-1): load = [1]+list(i) ans += sum(1 for edge in zip(load, load[1:]) if tuple(sorted(edge)) in edges) == n-1 print(ans)
from itertools import permutations n, m = list(map(int, input().split())) edges = {tuple(map(int, input().split())) for _ in range(m)} ans = 0 for i in permutations(list(range(2, n+1)), n-1): load = [1]+list(i) ans += sum(1 for edge in zip(load, load[1:]) if tuple(sorted(edge)) in edges) == n-1 print(ans)
p03805
from sys import stdin def dfs(e, ans, done, N, graph): if (1 << N) - 1 == done: ans += 1 return ans for s in graph[e]: if done >> s & 1: continue done ^= 1 << s ans = dfs(s, ans, done, N, graph) done ^= 1 << s return ans def main(): lines = stdin.readlines() N, M = list(map(int, lines[0].split())) graph = [[] for i in range(N)] for i in range(1, M + 1): a, b = [int(x) - 1 for x in lines[i].split()] # 0-based indexing graph[a].append(b) graph[b].append(a) ans = 0 print((dfs(0, ans, 1, N, graph))) return main()
from sys import stdin N = int() memo = {} graph = [] def dfs(e, done): if (1 << N) - 1 == done: return 1 key = (e, done) if key in memo: return memo[key] ret = 0 for s in graph[e]: if done >> s & 1: continue done ^= 1 << s ret += dfs(s, done) done ^= 1 << s memo[key] = ret return ret def main(): lines = stdin.readlines() global N N, M = list(map(int, lines[0].split())) global graph graph = [[] for i in range(N)] for i in range(1, M + 1): a, b = [int(x) - 1 for x in lines[i].split()] # 0-based indexing graph[a].append(b) graph[b].append(a) print((dfs(0, 1))) return main()
p03805
n,m=list(map(int,input().split())) road=[[] for _ in range(n+1)] for i in range(m): a,b=list(map(int,input().split())) road[a].append(b) road[b].append(a) dp=[[0]*(n+1) for _ in range(2**n)] dp[1][1]=1 for i in range(1,2**n): for j in range(1,n+1): for k in road[j]: if not (i>>(k-1))&1: dp[i+2**(k-1)][k]+=dp[i][j] print((sum(dp[2**n-1])))
n,m=list(map(int,input().split())) root=[[] for _ in range(n+1)] for i in range(m): a,b=list(map(int,input().split())) root[a].append(b) root[b].append(a) s=[0]*(n+1) s[0]=1 s[1]=1 ans=0 def f(a,x): global ans for i in root[a]: if x[i]==0: x[i]=1 f(i,x) x[i]=0 if x.count(1)==n+1: ans+=1 f(1,s) print(ans)
p03805
n, m = list(map(int, input().split())) graph = [[] for _ in range(n + 1)] for _ in range(m): a, b = list(map(int, input().split())) graph[a].append(b) graph[b].append(a) visit = [0] * (n + 1) def dfs(now, depth): if visit[now]: return 0 if depth == n: return 1 count = 0 visit[now] = 1 if graph[now]: for i in graph[now]: count += dfs(i, depth + 1) visit[now] = 0 return count ans = dfs(1, 1) print(ans)
n, m = list(map(int, input().split())) graph = [[] for _ in range(n + 1)] for _ in range(m): a, b = list(map(int, input().split())) graph[a].append(b) graph[b].append(a) visit = [0] * (n + 1) ans = 0 def dfs(now, depth): global ans if visit[now]: pass if depth == n: ans += 1 visit[now] = 1 if graph[now]: for i in graph[now]: if visit[i] == 0: dfs(i, depth + 1) visit[now] = 0 dfs(1, 1) print(ans)
p03805
n,m = list(map(int,input().split())) graph = [[]for i in range(n)] for i in range(m): a,b = list(map(int,input().split())) a -=1 b-=1 graph[a].append(b) graph[b].append(a) def all_visited(l): a = 0 for i in range(n): if l[i]: a+=1 if a == n: return 1 else: return 0 def dfs(now): ans = 0 visited[now] = 1 if all_visited(visited): return 1 for next in graph[now]: if visited[next]:continue ans += dfs(next) visited[next] =0 return ans visited = [0]*n print((dfs(0)))
import sys sys.setrecursionlimit(10**8) n,m = list(map(int,input().split())) graph = [[]for i in range(n)] visited = [0]*n def all_v(visited): cnt = 0 for x in visited:cnt+=x return cnt == n def dfs(now): visited[now] = 1 if all_v(visited):return 1 res = 0 for next in graph[now]: if visited[next]:continue res += dfs(next) visited[next] = 0 return res for i in range(m): a,b = list(map(int,input().split())) a-=1 b -= 1 graph[a].append(b) graph[b].append(a) print((dfs(0)))
p03805
N,M=list(map(int,input().split())) import copy a=[0]*M b=[0]*M for i in range(M): a[i],b[i]=list(map(int,input().split())) D=[[1]] def route(D): E=[] D1=copy.deepcopy(D) for j in range(len(D)): x=D[j][-1] for i in range(M): if a[i]==x: if not b[i] in D1[j]: D=copy.deepcopy(D1) D[j].append(b[i]) E.append(D[j]) elif b[i]==x: if not a[i] in D1[j]: D=copy.deepcopy(D1) D[j].append(a[i]) E.append(D[j]) return E for i in range(N-1): D=copy.deepcopy(route(D)) print((len(D)))
N,M=list(map(int,input().split())) import copy a=[0]*M b=[0]*M for i in range(M): a[i],b[i]=list(map(int,input().split())) D=[[1]] def route(D): E=[] D1=copy.deepcopy(D) for j in range(len(D)): x=D[j][-1] for i in range(M): if a[i]==x: if not b[i] in D1[j]: D[j]=copy.deepcopy(D1[j]) D[j].append(b[i]) E.append(D[j]) elif b[i]==x: if not a[i] in D1[j]: D[j]=copy.deepcopy(D1[j]) D[j].append(a[i]) E.append(D[j]) return E for i in range(N-1): D=copy.deepcopy(route(D)) print((len(D)))
p03805
N,M=list(map(int,input().split())) import copy a=[0]*M b=[0]*M for i in range(M): a[i],b[i]=list(map(int,input().split())) D=[[1]] def route(D): E=[] D1=copy.deepcopy(D) for j in range(len(D)): x=D[j][-1] for i in range(M): if a[i]==x: if not b[i] in D1[j]: D[j]=copy.deepcopy(D1[j]) D[j].append(b[i]) E.append(D[j]) elif b[i]==x: if not a[i] in D1[j]: D[j]=copy.deepcopy(D1[j]) D[j].append(a[i]) E.append(D[j]) return E for i in range(N-1): D=copy.deepcopy(route(D)) print((len(D)))
def bit_DP(N,Adj): dp=[[0]*N for i in range(1<<N)] dp[1][0]=1 for S in range(1<<N): for v in range(N): if (S&(1<<v))==0: continue sub=S^(1<<v) for u in range(N): if (sub&(1<<u)) and (Adj[u][v]): dp[S][v]+=dp[sub][u] ans=sum(dp[(1<<N)-1][u] for u in range(1,N)) return ans def main(): N,M=list(map(int,input().split())) Adj=[[0]*N for i in range(N)] for _ in range(M): a,b=list(map(int,input().split())) Adj[a-1][b-1]=1 Adj[b-1][a-1]=1 ans=bit_DP(N,Adj) print(ans) if __name__=='__main__': main()
p03805
import sys sys.setrecursionlimit(1000000) N, M = list(map(int, input().split())) ab = [list([int(x)-1 for x in input().split()]) for _ in range(M)] adlist = [[] for _ in range(N)] for a, b in ab: adlist[a] += [b] adlist[b] += [a] used = [0]*N global ans ans = 0 def dfs(v): global ans used[v] = 1 if sum(used) == N: ans += 1 return for u in adlist[v]: if used[u] == 0: used[u] = 1 dfs(u) used[u] = 0 return dfs(0) print(ans)
import sys sys.setrecursionlimit(1000000) n, m = list(map(int, input().split())) graph = [[] for _ in range(n)] for _ in range(m): a, b = [int(x)-1 for x in input().split()] graph[a] += [b] graph[b] += [a] used = [0]*n global ans ans = 0 def dfs(u): global ans used[u] = 1 if sum(used) == n: ans += 1 return for v in graph[u]: if used[v] == 0: used[v] = 1 dfs(v) used[v] = 0 return dfs(0) print(ans)
p03805
n, m = list(map(int, input().split())) paths = set() for i in range(m) : _a, _b = list(map(int, input().split())) paths.add((_a - 1, _b - 1)) paths.add((_b - 1, _a - 1)) full_mask = "".join(["1" for x in range(n)]) zero_mask = "".join(["0" for x in range(n)]) p_cnt = 0 def dfs(cur_idx, mask) : global p_cnt # set mask and do traverse new_mask = list(mask) new_mask[cur_idx] = "1" new_mask = "".join(new_mask) # print("DBG : ", cur_idx, new_mask, full_mask, new_mask == full_mask) if new_mask == full_mask : p_cnt += 1 else : for i in range(n) : # if cur_idx -> i in set and i not traversed yet.. if (cur_idx, i) in paths and mask[i] != "1" : dfs(i, new_mask) dfs(0, zero_mask) print(p_cnt)
n, m = list(map(int, input().split())) paths = set() zero_mask = "".join(["0" for x in range(n)]) full_mask = "".join(["1" for x in range(n)]) paths_cnt = 0 for i in range(m) : _a, _b = list(map(int, input().split())) paths.add((_a - 1, _b - 1)) paths.add((_b - 1, _a - 1)) def mask_idx(s, idx) : newmask = s[:idx] + "1" + s[idx + 1:] return newmask def dfs(cur_idx, mask) : global paths_cnt new_mask = mask_idx(mask, cur_idx) # print("DBG : ", cur_idx, new_mask, full_mask) if new_mask == full_mask : paths_cnt += 1 for i in range(n) : if i != cur_idx and new_mask[i] != '1' and (cur_idx, i) in paths: dfs(i, new_mask) dfs(0, zero_mask) print(paths_cnt)
p03805
N, M = list(map(int, input().split())) paths = set() for i in range(M) : _f, _t = list(map(int, input().split())) paths.add((_f - 1, _t - 1)) paths.add((_t - 1, _f - 1)) zeromask = "".join(['0' for x in range(N)]) fullmask = "".join(['1' for x in range(N)]) cnt = 0 def do_mask(m, idx) : return m[:idx] + '1' + m[idx + 1:] def dfs(m, idx) : global cnt new_mask = do_mask(m, idx) if new_mask == fullmask : cnt += 1 else : for i in range(N) : if i != idx and m[idx] != '1' and (idx, i) in paths: dfs(new_mask, i) dfs(zeromask, 0) print(cnt)
N, M = list(map(int, input().split())) a, b = [], [] for i in range(M) : _a, _b = list(map(int, input().split())) a.append(_a - 1) b.append(_b - 1) zero_mask = "".join(['0' for x in range(N)]) full_mask = "".join(['1' for x in range(N)]) paths_cnt = 0 paths_set = set() def do_mask(m, idx) : newmask = m[:idx] + '1' + m[idx + 1:] return newmask def dfs(m, idx) : global paths_cnt # print("DBG, do dfs with : ", m, idx) # do mask for current idx newmask = do_mask(m, idx) if newmask == full_mask : paths_cnt += 1 else : for i in range(N) : # print("DBG2 : ", idx != i, newmask[i] != '1', (idx, i) in paths_set, (idx, i)) if idx != i and newmask[i] != '1' and (idx, i) in paths_set: dfs(newmask, i) # generate map for i in range(M) : paths_set.add((a[i], b[i])) paths_set.add((b[i], a[i])) dfs(zero_mask, 0) print(paths_cnt)
p03805