input
stringlengths
20
127k
target
stringlengths
20
119k
problem_id
stringlengths
6
6
N, M = list(map(int,input().split())) X = list(map(int, input().split())) X.sort() diff = [] if M != 1: for i in range(M-1): diff.append(X[i+1]-X[i]) else: diff = [0] sorted_diff = sorted(diff) sorted_diff.reverse() ans = sum(sorted_diff) for i in range(min([N,M])-1): ans -= sorted_diff[i] print(ans)
N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() d = [] for i in range(M-1): d.append(X[i+1]-X[i]) d.sort() if M-N >= 0: print((sum(d[0:M-N]))) else: print((0))
p03137
import itertools import math import fractions import functools import copy n, m = list(map(int, input().split())) x = list(map(int, input().split())) sub = [] x.sort() for i in range(m-1): sub.append(abs(x[i]-x[i+1])) sub.sort(reverse=True) if n >= m: print((0)) quit() for i in range(n-1): sub[i] = 0 print((sum(sub)))
def main(): # n = int(input()) n, m = list(map(int, input().split())) x = list(map(int, input().split())) # s = input() # h = [int(input()) for _ in range(n)] x.sort() subs = [] for i in range(1, m): subs.append(abs(x[i]-x[i-1])) subs.sort() if (m < n): print((0)) else: print((sum(subs[0:m-n]))) if __name__ == '__main__': main()
p03137
n,m = list(map(int,input().split())) lst = [int(i) for i in input().split()] lst.sort() dst = [] if n>=m: print((0)) exit() for i in range(1,m): dst.append(lst[i]-lst[i-1]) dst.sort() if n==1: ans = sum(dst) else: ans = sum(dst[:-n+1]) print(ans)
n,m = list(map(int,input().split())) lst = list(map(int,input().split())) lst.sort() dst = [] for i in range(1,m): dst.append(lst[i] - lst[i-1]) dst.sort() if n >= m: print((0)) elif n==1: print((sum(dst))) else: print((sum(dst[:-n+1])))
p03137
from itertools import combinations import bisect import copy def move(positions, tmp_X, N, tmp_ans): min_dif = float('inf') min_idx = None min_x = None for x in tmp_X: idx = bisect.bisect_left(positions,x) if idx == N: tmp_dif = abs(x-positions[idx-1]) tmp_idx = idx -1 elif idx == 0: tmp_dif = abs(x-positions[idx]) tmp_idx = idx else: dif1, dif2 = abs(x-positions[idx-1]), abs(x-positions[idx]) if dif1 >= dif2: tmp_dif = dif2 tmp_idx = idx else: tmp_dif = dif1 tmp_idx = idx - 1 if min_dif > tmp_dif: min_dif = tmp_dif min_idx = tmp_idx min_x = x del positions[min_idx] idx = bisect.bisect_left(positions, min_x) positions.insert(idx, min_x) tmp_X.remove(min_x) return tmp_ans + min_dif N,M = list(map(int,input().split())) X = list(map(int,input().split())) if N >= M: print((0)) exit() ans = float('inf') for cmb in combinations(X,N): tmp_ans = 0 tmp_X = copy.deepcopy(X) positions = sorted(list(cmb)) for position in positions: tmp_X.remove(position) while len(tmp_X) > 0: tmp_ans = move(positions, tmp_X, N, tmp_ans) ans = min(tmp_ans, ans) print(ans)
N,M = list(map(int,input().split())) if M == 1: print((0)) exit() X = sorted(list(map(int,input().split()))) difX = [0] + [X[i+1]-X[i] for i in range(M-1)] difX.sort(reverse=True) print((sum(difX)-sum(difX[:N-1])))
p03137
n,m = list(map(int, input().split())) x = [int(i) for i in input().split()] x_sort = sorted(x) check = [] for i in range(len(x)-1): check.append(abs(x_sort[i+1] - x_sort[i])) check_sorted = sorted(check) ans = 0 if (m-n) >= 0: for i in check_sorted[0:m-n]: ans += i print(ans) else: print((0))
n, m = list(map(int, input().split())) X = [int(i) for i in input().split()] X = sorted(X) L = [] for i in range(1, m): L.append(X[i] - X[i - 1]) L = sorted(L) if n >= m: print((0)) else: print((sum(L[0:m-n])))
p03137
import sys N, M = list(map(int, input().split())) X = [int(_) for _ in input().split()] X.sort() A = [] if N >= M: print((0)) sys.exit() else: for i in range(M - 1): A.append(X[i + 1] - X[i]) for i in range(N - 1): A.remove(max(A)) sum = sum(A) print(sum)
import sys N, M = list(map(int, input().split())) X = sorted(list(map(int,input().split()))) A = [] sum = 0 if N >= M: print((0)) sys.exit() else: for i in range(M - 1): A.append(X[i + 1] - X[i]) A = sorted(A, reverse = True) for k in A[N - 1:]: sum += k print(sum)
p03137
(n, m) = list(map(int, input().split())) x = list(map(int, input().split())) x.sort() diff = [] for i in range(1, len(x)): diff.append(x[i] - x[i-1]) diff.sort(reverse=True) sum = 0 for i in range(n - 1, len(diff)): sum += diff[i] print(sum)
n, m = list(map(int, input().split())) if n >= m: print((0)) exit(0) x = sorted(list(map(int, input().split()))) gaps = sorted([x[i] - x[i-1] for i in range(1, m)], reverse=True) print((sum(gaps[n-1:])))
p03137
from itertools import combinations N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() devide_num = min(N -1, M - 1) devides = combinations(list(range(len(X))), devide_num) mincost = X[-1] - X[0] for devide in devides: previous = 0 cost = 0 for next_point in devide: cost += X[next_point] - X[previous] if next_point + 1 < M: previous = next_point + 1 else: break # last cost += X[-1] - X[previous] mincost = min(cost, mincost) print(mincost)
N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() diffs = [X[i+ 1] - X[i] for i in range(len(X) - 1)] diffs.sort(reverse=True) skip = N - 1 print((sum(diffs[skip:])))
p03137
from heapq import heappush, heappop N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() if N >= M: print((0)) exit() q1 = [] for i in range(M - 1): sec = X[i + 1] - X[i] heappush(q1, (-sec, i + 1)) q2 = [] for n in range(N - 1): sec, idx = heappop(q1) heappush(q2, idx) heappush(q2, M) cur = 0 ans = 0 for n in range(N): idx = heappop(q2) ans += X[idx - 1] - X[cur] cur = idx print(ans)
from heapq import heappush, heappop N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() if N >= M: print((0)) exit() q1 = [] for i in range(M - 1): sec = X[i + 1] - X[i] heappush(q1, -sec) ans = 0 for _ in range(N - 1): ans -= heappop(q1) print((X[-1] - X[0] - ans))
p03137
n, m = list(map(int, input().split())) li = list(map(int, input().split())) li.sort() move_cost = [li[i+1] - li[i] for i in range(m-1)] move_cost.sort() for i in range(n-1): if len(move_cost) == 0: break move_cost = move_cost[:-1] print((sum(move_cost)))
n, m = list(map(int, input().split())) li = list(map(int, input().split())) li.sort() move_cost = [li[i+1] - li[i] for i in range(m-1)] move_cost.sort() if n > 1: move_cost = move_cost[:-n+1] print((sum(move_cost)))
p03137
n, m = list(map(int, input().split())) x = list(map(int, input().split())) x.sort() if n < m: x_distance = [abs(x[i + 1] - x[i]) for i in range(m - 1)] x_distance.sort() ans = 0 for i in range (m - n): ans += x_distance[i] print(ans) else: print((0))
n, m = list(map(int, input().split())) x = list(map(int, input().split())) x.sort() if n < m: x_distance = [x[i + 1] - x[i] for i in range(m - 1)] x_distance.sort() ans = 0 for i in range (m - n): ans += x_distance[i] print(ans) else: print((0))
p03137
n, m = list(map(int, input().split())) x = list(map(int, input().split())) x.sort() if n < m: x_distance = [x[i + 1] - x[i] for i in range(m - 1)] x_distance.sort() print((sum(x_distance[:(m-n)]))) else: print((0))
n, m = list(map(int, input().split())) x = list(map(int, input().split())) x.sort() if n < m: x_distance = [x2 - x1 for x1, x2 in zip(x, x[1:])] x_distance.sort() print((sum(x_distance[:(m-n)]))) else: print((0))
p03137
n, m = list(map(int, input().split())) *x, = sorted(map(int, input().split())) diff = [] for i in range(m-1): diff.append(abs(x[i]-x[i+1])) partition = sorted(diff, reverse=True)[:(n-1)] ans = 0 for _d in diff: if _d in partition: partition.remove(_d) continue ans += _d print(ans)
n, m = list(map(int, input().split())) *x, = sorted(map(int, input().split())) diff = [] for i in range(m-1): diff.append(abs(x[i]-x[i+1])) p = 0 if len(diff) < n else len(diff)-n+1 sec = sorted(diff)[:p] print((sum(sec)))
p03137
N,M = list(map(int,input().split())) X = sorted(list(map(int,input().split()))) D = sorted([X[n+1]-X[n] for n in range(M-1)]) if M<=N: print((0)) else: print((sum(D[:M-N])))
N,M = list(map(int,input().split())) X = sorted(map(int,input().split())) D = sorted(x2-x1 for x1,x2 in zip(X,X[1:]))[::-1] print((sum(D[N-1:])))
p03137
import sys N,M=list(map(int,input().split())) X=list(map(int,input().split())) if N>=M: print((0)) sys.exit() X.sort() Y=[0]*(M-1) for i in range(M-1): Y[i]=X[i+1]-X[i] Y=sorted(Y)[:-(N-M)] print((sum(Y)))
import sys N,M=list(map(int,input().split())) X=list(map(int,input().split())) X.sort() Y=[0]*(M-1) for i in range(M-1): Y[i]=X[i+1]-X[i] Y=sorted(Y)[:max(0,M-N)] print((sum(Y)))
p03137
N, M = list(map(int, input().split())) X = [int(i) for i in input().split()] X.sort() D = [X[i+1] - X[i] for i in range(M - 1)] D.sort() print((0 if M <= N else sum(D[:M-N])))
N, M = list(map(int, input().split())) X = list(set([int(i) for i in input().split()])) X.sort() D = [X[i+1] - X[i] for i in range(M - 1)] D.sort() print((0 if M <= N else sum(D[:M-N])))
p03137
N, M = list(map(int, input().split())) X = list(set([int(i) for i in input().split()])) X.sort() D = [X[i+1] - X[i] for i in range(M - 1)] D.sort() print((0 if M <= N else sum(D[:M-N])))
N, M = list(map(int, input().split())) X = list(set(map(int, input().split()))) X.sort() D = [X[i+1] - X[i] for i in range(M - 1)] D.sort() print((0 if M <= N else sum(D[:M-N])))
p03137
N,M = list(map(int, input().split())) X = list(map(int,input().split())) if N >= M: print((0)) else: X = sorted(X) list = [] for i in range(M-1): list.append(X[i+1]-X[i]) list = sorted(list) list1 = list[:M-N] print((sum(list1)))
N,M = list(map(int, input().split())) X = list(map(int,input().split())) if N >= M: print((0)) else: X = sorted(X) list = [X[i]-X[i-1] for i in range(1,M)] list = sorted(list) list1 = list[:M-N] print((sum(list1)))
p03137
N, M = list(map(int, input().split())) X = list(map(int, input().split())) Y = sorted(X) Y = list(map(lambda x,y:x-y, Y[1:],Y[:-1])) for i in range(N-1): if Y != []: x = max(Y) Y.remove(x) else: break print((sum(Y)))
N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() diffX = list(map(lambda x,y:x-y, X[1:], X[:-1])) diffX.sort(reverse = True) if N-1 >= len(diffX): print((0)) else: print((sum(diffX[N-1:])))
p03137
N,M = list(map(int,input().split())) X = list(map(int,input().split())) if N > M : print((0)) else: X.sort() x_next = X[0] flag = [X[_] - X[_-1] for _ in range(1,M)] for lp in range(N-1): ff = flag.index(max(flag)) flag.pop(ff) print((sum(flag)))
N,M = list(map(int,input().split())) X = list(map(int,input().split())) if N > M : print((0)) else: X.sort() x_next = X[0] flag = [X[_] - X[_-1] for _ in range(1,M)] flag.sort() flag = flag[:M-N:] print((sum(flag)))
p03137
N,M = list(map(int,input().split())) X = list(map(int,input().split())) if N > M : print((0)) else: X.sort() x_next = X[0] flag = [X[_] - X[_-1] for _ in range(1,M)] flag.sort() flag = flag[:M-N:] print((sum(flag)))
N,M = list(map(int,input().split())) X = list(map(int,input().split())) if N >= M : print((0)) exit() X.sort() flag = [b-a for a,b in zip(X,X[1:])] flag.sort() print((sum(flag[:M-N:])))
p03137
import heapq n,m = list(map(int, input().split(' '))) # I am given n pieces if n >= m: print(0) else: xis = list(map(int, input().split())) xis.sort() distances = [v- u for u,v in zip(xis,xis[1:])] distances.sort(key = lambda x:-x) print(sum(distances[n-1:] or [0]))
import heapq n,m = list(map(int, input().split(' '))) xis = list(map(int, input().split())) xis.sort() distances = [v- u for u,v in zip(xis,xis[1:])] distances.sort(key = lambda x:-x) print(sum(distances[n-1:] or [0]))
p03137
def iread(): return int(eval(input())) def sread(): return eval(input()) def aread_int(): tmp = input().split() ret = [int(i) for i in tmp] return ret def aread_str(): return input().split() if __name__ == '__main__': n, m = list(map(int, input().split())) x = aread_int() x = sorted(x) x_dist = [0] * (m - 1) for i in range(m - 1) : x_dist[i] += abs(x[i] - x[i + 1]) if n > m : print((0)) exit() cost = sum(x_dist) for i in range(n - 1) : max_idx = x_dist.index(max(x_dist)) cost -= x_dist[max_idx] # print(x_dist[max_idx]) x_dist[max_idx] = 0 print(cost)
def iread(): return int(eval(input())) def sread(): return eval(input()) def aread_int(): tmp = input().split() ret = [int(i) for i in tmp] return ret def aread_str(): return input().split() if __name__ == '__main__': n, m = list(map(int, input().split())) x = aread_int() x = sorted(x) x_dist = [0] * (m - 1) for i in range(m - 1) : x_dist[i] += abs(x[i] - x[i + 1]) if n > m : print((0)) exit() x_dist = sorted(x_dist) idx = len(x_dist) - 1 cost = sum(x_dist) for i in range(n - 1) : cost -= x_dist[idx] x_dist[idx] = 0 idx -= 1 print(cost)
p03137
N, M = list(map(int,input().split())) X = sorted(list(map(int,input().split()))) tmp = sorted([X[i+1] - X[i] for i in range(M-1)]) if(M <= N): print((0)) else: print((sum(tmp[:M-N])))
def ans(): N, M = list(map(int,input().split())) X = sorted(list(map(int,input().split()))) tmp = sorted([X[i+1] - X[i] for i in range(M-1)]) if(M <= N): print((0)) else: print((sum(tmp[:M-N]))) ans()
p03137
N, M = list(map(int,input().split())) X = sorted(list(map(int,input().split()))) tmp = sorted([X[i+1]-X[i] for i in range(M-1)]) ans = sum(tmp[:M-N]) if(M <= N): ans = 0 print(ans)
N, M = list(map(int,input().split())) X = sorted(map(int,input().split())) X = sorted([X[i+1]-X[i] for i in range(M-1)]) ans = sum(X[:M-N]) if M <= N: ans = 0 print(ans)
p03137
N, M = list(map(int, input().split())) X = sorted(map(int, input().split())) diff = [0] * (M - 1) for i in range(M - 1): diff[i] = X[i + 1] - X[i] print((sum(sorted(diff)[: max(0, M - N)])))
N, M, *X = list(map(int, open(0).read().split())) if N >= M: print((0)) exit() X.sort() diff = [] for i in range(M - 1): diff.append(X[i + 1] - X[i]) diff.sort() print((sum(diff[: M - N])))
p03137
N, M, *X = list(map(int, open(0).read().split())) if N >= M: print((0)) exit() X.sort() diff = [] for i in range(M - 1): diff.append(X[i + 1] - X[i]) diff.sort() print((sum(diff[: M - N])))
from itertools import tee def pairwise(iterable): "s -> (s0,s1), (s1,s2), (s2, s3), ..." a, b = tee(iterable) next(b, None) return list(zip(a, b)) N, M, *X = list(map(int, open(0).read().split())) if N >= M: print((0)) exit() X.sort() diffs = [cur - prev for prev, cur in pairwise(X)] diffs.sort() print((sum(diffs[: M - N])))
p03137
N,M=list(map(int,input().split())) X=list(map(int,input().split())) if(N>=M): print((0)) else: X.sort() b=[] for i in range(M-1): b.append(X[i+1]-X[i]) for i in range(N-1): b.remove(max(b)) print((sum(b)))
N,M=list(map(int,input().split())) X=list(map(int,input().split())) if(N>=M): print((0)) else: X.sort() b=[] for i in range(M-1): b.append(X[i+1]-X[i]) b.sort() for _ in range(N-1): b.pop() print((sum(b)))
p03137
N,M=list(map(int,input().split())) X=list(map(int,input().split())) if(N>=M): print((0)) else: X.sort() b=[] for i in range(M-1): b.append(X[i+1]-X[i]) b.sort() for _ in range(N-1): b.pop() print((sum(b)))
n,m=list(map(int,input().split())) l=sorted(list(map(int,input().split()))) if n>=m: print((0)) exit() s=l[-1]-l[0] l=sorted([a-b for a,b in zip(l[1:],l)], reverse=True) print((s-sum(l[:n-1])))
p03137
import itertools N, M= (int(i) for i in input().split()) X = list(int(i) for i in input().split()) X.sort() if(N >= M): print((0)) else: combination = list(itertools.combinations(list(range(M)),N-1)) min = 2 * 100000 for tmp_taple in combination: tmp_sum = 0 from_index = 0 for to_index in tmp_taple: tmp_sum += X[to_index] - X[from_index] from_index = to_index + 1 if(from_index < M-1): tmp_sum += X[M-1] - X[from_index] if(min > tmp_sum): min = tmp_sum print(min)
N, M= (int(i) for i in input().split()) if (N<M): X = list(int(i) for i in input().split()) X.sort() Y = [X[i] - X[i-1] for i in range(1, len(X))] Y.sort() print((sum(Y[0:M-N]))) else: print((0)) """ N個のコマ:N-1個の閉経路が存在する 各座標の距離を求める(M-1個) M:座標の数 N:駒の数 移動しなくても通っている座標の数: N M - N """
p03137
N,M=list(map(int,input().split())) X=sorted(list(map(int,input().split()))) d=[0]*(M-1) for i in range(len(X)-1): d[i]=X[i+1]-X[i] d=sorted(d)[::-1] print((sum(d[N-1:])))
N,M=list(map(int,input().split())) X=sorted(list(map(int,input().split()))) print((sum(sorted([X[i+1]-X[i] for i in range(M-1)])[::-1][N-1:])))
p03137
n,m = list(map(int, input().split())) x = list(map(int, input().split())) if n >= m: print((0)) exit() else: difference = [] x.sort() for i in range(m-1): difference.append(x[i+1]-x[i]) for i in range(n-1): difference.remove(max(difference)) print((sum(difference)))
n,m = list(map(int, input().split())) x = list(map(int, input().split())) if n >= m: print((0)) exit() else: difference = [] x.sort() for i in range(m-1): difference.append(x[i+1]-x[i]) difference.sort() print((sum(difference[:m-n])))
p03137
N, M = list(map(int, input().split())) X = sorted(list(map(int, input().split()))) d = [0] * (M - 1) ans = 0 if N >= M: print(ans) else: for i in range(M - 1): d[i] = abs(X[i + 1] - X[i]) d.sort(reverse=True) b = d[:N - 1] for i in range(M - 1): if d[i] in b: b.remove(d[i]) else: ans += d[i] print(ans)
N, M = list(map(int, input().split())) X = sorted(list(map(int, input().split()))) d = [0] * (M - 1) if N >= M: print((0)) else: for i in range(M - 1): d[i] = abs(X[i + 1] - X[i]) d.sort(reverse=True) print((sum(d[N - 1:])))
p03137
n,m =(int(i) for i in input().split()) x = list(int(i) for i in input().split()) x.sort() sa = [] ans = 0 if m <= n: print('0') exit() for i in range(m-1): sa.append(x[i+1]-x[i]) for i in range(n-1): tmp1 = max(sa) sa.remove(tmp1) ans = sum(sa) print(ans)
n,m =(int(i) for i in input().split()) x = list(int(i) for i in input().split()) x.sort() sa = [] ans = 0 if m <= n: print('0') exit() for i in range(m-1): sa.append(x[i+1]-x[i]) s2 = sorted(sa,reverse = True) #print(s2) for i in range(n-1,len(s2)): ans += s2[i] print(ans)
p03137
import heapq N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() dist = [0]*(M-1) for i in range(M-1): dist[i] = -(X[i+1] - X[i]) #print(dist) heapq.heapify(dist) for i in range(N-1): if len(dist) == 0: break heapq.heappop(dist) ans = 0 if len(dist) != 0: ans = -sum(dist) print(ans)
N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() dist = [0]*(M-1) for i in range(M-1): dist[i] = X[i+1] - X[i] dist.sort() ans = 0 if N < M: for i in range((M-1)-(N-1)): ans += dist[i] print(ans)
p03137
import sys readline = sys.stdin.readline def main(): N, M = list(map(int, readline().rstrip().split())) X = list(map(int, readline().rstrip().split())) if N >= M: print((0)) return X.sort() X = [abs(X[i+1]-X[i]) for i in range(M-1)] X.sort() ans = sum(X) for i in range(N-1): ans -= X[-i-1] print(ans) if __name__ == '__main__': main()
import sys readline = sys.stdin.readline def main(): N, M = list(map(int, readline().rstrip().split())) X = list(map(int, readline().rstrip().split())) if N >= M: print((0)) return X.sort() X = [abs(X[i+1]-X[i]) for i in range(M-1)] X.sort(reverse=True) print((sum(X[N-1:]))) if __name__ == '__main__': main()
p03137
n,m=list(map(int,input().split())) x=sorted([int(i) for i in input().split()]) xbet=sorted([abs(x[i+1]-x[i]) for i in range(m-1)],reverse=True) y=sum(xbet) if n>=m: print((0)) else: print((y-sum(xbet[:n-1])))
n,m=list(map(int,input().split())) x=list(map(int,input().split())) x.sort() y=[x[i]-x[i-1] for i in range(1,m)] y.sort() print((0 if n>=m else sum(y[:(m-n)])))
p03137
N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() L = [0]*(M-1) for i in range(M-1): L[i] = X[i+1]-X[i] L.sort(reverse=True) print((X[M-1]-X[0]-sum(L[:N-1])))
def main(): N, M = list(map(int, input().split())) X = list(map(int, input().split())) X.sort() h = [0]*M for i in range(1, M): h[i] = X[i]-X[i-1] h.sort(reverse=True) print((X[M-1]-X[0]-sum(h[:(N-1)]))) main()
p03137
K, N = map(int, input().split()) MOD = 998244353 P = N+K fact = [1]*(P+1) rfact = [1]*(P+1) for i in range(P): fact[i+1] = r = ((i+1) * fact[i]) % MOD rfact[i+1] = pow(r, MOD-2, MOD) def comb(n, k): return fact[n] * rfact[k] * rfact[n-k] % MOD pow2 = [1]*(P+1) r = 1 for i in range(P): r = pow2[i+1] = (r * 2) % MOD def calc(A): M = A//2 r = 0 if A % 2: p = K - 2*M + N - 2 for m in range(max(0, 2*M+2-K), min(M, N-1)+1): r += pow2[m] * comb(M, m) * (comb(p, N-m) + comb(p-1, N-m-1)) % MOD if 2*M+2-K <= N <= M: r += pow2[N] * comb(M, N) % MOD else: p = K - 2*M + N - 1 for m in range(max(0, 2*M+1-K), min(N, M)+1): r += pow2[m] * comb(M, m) * comb(p, N-m) % MOD return r % MOD ans = [] for i in range(2, 2*K+1): if i <= K: ans.append(calc(i - 1)) else: ans.append(calc(2*K - i + 1)) print(*ans, sep='\n')
K, N = map(int, input().split()) MOD = 998244353 P = N+K fact = [1]*(P+1) rfact = [1]*(P+1) for i in range(P): fact[i+1] = r = ((i+1) * fact[i]) % MOD rfact[i+1] = pow(r, MOD-2, MOD) def comb(n, k): return fact[n] * rfact[k] * rfact[n-k] % MOD V = [1]*(P+1) r = 1 for i in range(P): r = (r * 2) % MOD V[i+1] = r * rfact[i+1] % MOD memo = {} def calc(A): if A in memo: return memo[A] M = A//2 r = 0 if A % 2: p = K - 2*M + N - 2 for m in range(max(0, 2*M+2-K), min(M, N-1)+1): r += V[m] * rfact[M-m] * (fact[p]*rfact[N-m] + fact[p-1]*rfact[N-m-1])*rfact[p-N+m] % MOD if 2*M+2-K <= N <= M: r += V[N] * rfact[M-N] % MOD r *= fact[M] else: p = K - 2*M + N - 1 for m in range(max(0, 2*M+1-K), min(N, M)+1): r += V[m] * rfact[M-m] * rfact[N-m] * rfact[p-N+m] % MOD r *= fact[M] * fact[p] r = memo[A] = r % MOD return r ans = [] for i in range(2, 2*K+1): if i <= K: ans.append(calc(i - 1)) else: ans.append(calc(2*K - i + 1)) print(*ans, sep='\n')
p03270
from collections import defaultdict,deque import sys,heapq,bisect,math,itertools,string,queue,datetime sys.setrecursionlimit(10**8) INF = float('inf') mod = 998244353 eps = 10**-7 def inp(): return int(eval(input())) def inpl(): return list(map(int, input().split())) def inpls(): return list(input().split()) K,N = inpl() MAX = K+N+10 fac = [1]*(MAX+1) for i in range(1,MAX+1): fac[i] = (fac[i-1]*i)%mod gyakugen = [1]*(MAX+1) gyakugen[MAX] = pow(fac[MAX],mod-2,mod) for i in range(MAX,0,-1): gyakugen[i-1] = (gyakugen[i]*i)%mod def Comb(n,k):#nCk return (fac[n]*gyakugen[k]*gyakugen[n-k])%mod #K=k,N=n,0pair = 0 def calc(k,n,i): #i=2に帰着させる pairs = (i-2)//2 k -= pairs n -= pairs #色々と例外処理 if n < 0 or k <= 0: return 0 elif k == 1 and n >= 2: return 0 if n == 0: #球が0個なら1通り ans = 1 else: ans = 0 #i=2の時の数え上げ for x in range(2): ball = n-x #球 box = k-1 #箱 ans += Comb(box-1+ball,ball)%mod ans *= pow(2,pairs,mod) #0pairの選び方 return ans % mod ans = [] for i in range(2,K+2): if i%2 == 0: pairs = (i-2)//2 tmp = 0 for p0 in range(pairs+1): #p0 = 0pairの数 tmp1 = calc(K-p0*2 , N , i-p0*2) %mod #k-p0*2,i-p0*2で0pairが0組 tmp2 = Comb(pairs,p0) %mod #0pairの選び方 tmp += tmp1 * tmp2 tmp %= mod ans.append(tmp) print(tmp) ans = ans[::-1] for i in range(1,K): print((ans[i]))
K,N = list(map(int, input().split())) MAX = K+N+3 mod = 998244353 fac = [1]*(MAX+1) for i in range(1,MAX+1): fac[i] = (fac[i-1]*i)%mod rev_m = [1]*(MAX+1) rev_m[MAX] = pow(fac[MAX],mod-2,mod) for i in range(MAX,0,-1): rev_m[i-1] = (rev_m[i]*i)%mod def Comb(n,k):#nCk return (fac[n]*rev_m[k]*rev_m[n-k])%mod def f(n,k,i): if i == 2: if n < 0 or (k==1 and n>=2): #例外処理 return 0 if n == 0: ans = 1 else: ans = Comb(k-2+n,n) + Comb(k-2+n-1,n-1) return ans % mod else: #i>2 Sp = i//2-1 ans = 0 for p in range(Sp+1): ans += g(n,k,i,p) return ans % mod def g(n,k,i,p): Sp = i//2-1 if p == 0: return f(n-Sp,k-Sp,2) * pow(2,Sp,mod) % mod else: #p>0 return g(n,k-2*p,i-2*p,0) * Comb(Sp,p) ans = [] for i in range(2,K+2): if i%2 == 0: tmp = f(N,K,i) ans.append(tmp) print(tmp) ans = ans[::-1] for i in range(1,K): print((ans[i]))
p03270
def prepare(n, MOD): f = 1 factorials = [1] for m in range(1, n + 1): f *= m f %= MOD factorials.append(f) inv = pow(f, MOD - 2, MOD) invs = [1] * (n + 1) invs[n] = inv for m in range(n, 1, -1): inv *= m inv %= MOD invs[m - 1] = inv return factorials, invs def solve_sub(k, n, p, factorials, invs): """Number of patterns where any pair(s) of p pairs appear when n dices are rolled""" ret = 0 for q in range(1, min(p, n // 2) + 1): # tmp1 = factorials[p + q - 1] * invs[q] * invs[p - 1] % MOD tmp1 = (factorials[p] * invs[q] % MOD) * invs[p - q] % MOD tmp2 = (factorials[k + n - 2 * q - 1] * invs[n - 2 * q] % MOD) * invs[k - 1] % MOD ret += tmp1 * tmp2 * (-1) ** (q - 1) ret %= MOD return ret def solve(k, n): if k == 1: return [0] factorials, invs = prepare(k + n, MOD) all_patterns_odd = factorials[k + n - 1] * invs[n] * invs[k - 1] % MOD all_patterns_even0 = factorials[k + n - 2] * invs[n] * invs[k - 2] % MOD all_patterns_even1 = factorials[k + n - 3] * invs[n - 1] * invs[k - 2] % MOD # print(all_patterns_even0, all_patterns_even1) buf = [] for i in range(2, k + 2): pairs = i // 2 - max(0, i - k - 1) if i % 2 == 0: ans = all_patterns_even0 - solve_sub(k - 1, n, pairs - 1, factorials, invs) # print(solve_sub(k - 1, n, pairs - 1, factorials, invs)) ans += all_patterns_even1 - solve_sub(k - 1, n - 1, pairs - 1, factorials, invs) # print(solve_sub(k - 1, n - 1, pairs - 1, factorials, invs)) ans %= MOD else: ans = (all_patterns_odd - solve_sub(k, n, pairs, factorials, invs)) % MOD buf.append(ans) return buf MOD = 998244353 k, n = list(map(int, input().split())) ans = solve(k, n) print(('\n'.join(map(str, ans)))) print(('\n'.join(map(str, ans[-2::-1]))))
def prepare(n, MOD): f = 1 factorials = [1] for m in range(1, n + 1): f *= m f %= MOD factorials.append(f) inv = pow(f, MOD - 2, MOD) invs = [1] * (n + 1) invs[n] = inv for m in range(n, 1, -1): inv *= m inv %= MOD invs[m - 1] = inv return factorials, invs def solve_sub(k, n, p, factorials, invs): """Number of patterns where any pair(s) of p pairs appear when n dices are rolled""" ret = 0 fp, ik = factorials[p], invs[k - 1] for q in range(1, min(p, n // 2) + 1): # tmp1 = factorials[p + q - 1] * invs[q] * invs[p - 1] % MOD tmp1 = (fp * invs[q] % MOD) * invs[p - q] % MOD tmp2 = (factorials[k + n - 2 * q - 1] * invs[n - 2 * q] % MOD) * ik % MOD if q % 2 == 1: ret += tmp1 * tmp2 else: ret -= tmp1 * tmp2 ret %= MOD return ret def solve(k, n): if k == 1: return [0] factorials, invs = prepare(k + n, MOD) all_patterns_odd = factorials[k + n - 1] * invs[n] * invs[k - 1] % MOD all_patterns_even0 = factorials[k + n - 2] * invs[n] * invs[k - 2] % MOD all_patterns_even1 = factorials[k + n - 3] * invs[n - 1] * invs[k - 2] % MOD buf = [] for i in range(2, k + 2): pairs = i // 2 - max(0, i - k - 1) if i % 2 == 0: ans = all_patterns_even0 - solve_sub(k - 1, n, pairs - 1, factorials, invs) ans += all_patterns_even1 - solve_sub(k - 1, n - 1, pairs - 1, factorials, invs) ans %= MOD else: ans = (all_patterns_odd - solve_sub(k, n, pairs, factorials, invs)) % MOD buf.append(ans) return buf MOD = 998244353 k, n = list(map(int, input().split())) ans = solve(k, n) print(('\n'.join(map(str, ans)))) print(('\n'.join(map(str, ans[-2::-1]))))
p03270
def prepare(n, MOD): f = 1 factorials = [1] for m in range(1, n + 1): f *= m f %= MOD factorials.append(f) inv = pow(f, MOD - 2, MOD) invs = [1] * (n + 1) invs[n] = inv for m in range(n, 1, -1): inv *= m inv %= MOD invs[m - 1] = inv return factorials, invs def solve_sub(k, n, p, factorials, invs): """Number of patterns where any pair(s) of p pairs appear when n dices are rolled""" ret = 0 fp, ik = factorials[p], invs[k - 1] for q in range(1, min(p, n // 2) + 1): # tmp1 = factorials[p + q - 1] * invs[q] * invs[p - 1] % MOD tmp1 = (fp * invs[q] % MOD) * invs[p - q] % MOD tmp2 = (factorials[k + n - 2 * q - 1] * invs[n - 2 * q] % MOD) * ik % MOD if q % 2 == 1: ret += tmp1 * tmp2 else: ret -= tmp1 * tmp2 ret %= MOD return ret def solve(k, n): if k == 1: return [0] factorials, invs = prepare(k + n, MOD) all_patterns_odd = factorials[k + n - 1] * invs[n] * invs[k - 1] % MOD all_patterns_even0 = factorials[k + n - 2] * invs[n] * invs[k - 2] % MOD all_patterns_even1 = factorials[k + n - 3] * invs[n - 1] * invs[k - 2] % MOD buf = [] for i in range(2, k + 2): pairs = i // 2 - max(0, i - k - 1) if i % 2 == 0: ans = all_patterns_even0 - solve_sub(k - 1, n, pairs - 1, factorials, invs) ans += all_patterns_even1 - solve_sub(k - 1, n - 1, pairs - 1, factorials, invs) ans %= MOD else: ans = (all_patterns_odd - solve_sub(k, n, pairs, factorials, invs)) % MOD buf.append(ans) return buf MOD = 998244353 k, n = list(map(int, input().split())) ans = solve(k, n) print(('\n'.join(map(str, ans)))) print(('\n'.join(map(str, ans[-2::-1]))))
def prepare(k, n, MOD): def get_factorials(m): f = 1 factorials = [1] for m in range(1, m + 1): f *= m f %= MOD factorials.append(f) inv = pow(f, MOD - 2, MOD) invs = [1] * (m + 1) invs[m] = inv for m in range(m, 1, -1): inv *= m inv %= MOD invs[m - 1] = inv return factorials, invs def solve(p): """Number of patterns where no pair of p appears when n dices are rolled""" if cache[p] > -1: return cache[p] ret = 0 fp = factorials[p] for q in range(1, min(p, n // 2) + 1): tmp1 = (fp * invs[q] % MOD) * invs[p - q] % MOD tmp2 = (factorials[k + n - 2 * q - 1] * invs[n - 2 * q] % MOD) * ik % MOD if q % 2 == 1: ret += tmp1 * tmp2 else: ret -= tmp1 * tmp2 ret %= MOD cache[p] = ret = (all_patterns - ret) % MOD return ret factorials, invs = get_factorials(k + n) ik = invs[k - 1] all_patterns = factorials[k + n - 1] * invs[n] * ik % MOD cache = [-1] * (k // 2 + 2) return solve MOD = 998244353 k, n = list(map(int, input().split())) if k == 1: print((0)) else: solve = prepare(k, n, MOD) ans = [solve(i // 2 - max(0, i - k - 1)) for i in range(2, k + 2)] print(('\n'.join(map(str, ans)))) print(('\n'.join(map(str, ans[-2::-1]))))
p03270
from sys import exit, setrecursionlimit, stderr from functools import reduce from itertools import * from collections import defaultdict from bisect import bisect def read(): return int(eval(input())) def reads(): return [int(x) for x in input().split()] K, N = reads() MOD = 998244353 MAXN = 5000 fact = [1] * MAXN for i in range(1, MAXN): fact[i] = (fact[i-1] * i) % MOD invfact = [0] * MAXN; invfact[-1] = pow(fact[-1], MOD-2, MOD) for i in range(MAXN-2, -1, -1): invfact[i] = invfact[i+1] * (i+1) % MOD def comb(n, k): return fact[n] * invfact[n-k] * invfact[k] % MOD if 0 <= k <= n else 0 def h(n, k): return comb(n+k-1, n) if k >= 1 else 0 def solve(n, k, u): ans = 0 for q in range(u+1): s = 2**(u-q) * h(n-u+q, k-q-u) # print(n, k, u, q, s) ans = (ans + comb(u, q) * pow(2, u-q, MOD) % MOD * h(n-u+q, k-q-u)) % MOD return ans for i in range(2, 2*K+1): u = sum(j < i-j <= K for j in range(1, K+1)) if i % 2 == 1: ans = solve(N, K, u) else: ans = (solve(N, K-1, u) + solve(N-1, K-1, u)) % MOD print(ans)
from sys import exit, setrecursionlimit, stderr from functools import reduce from itertools import * from collections import defaultdict from bisect import bisect def read(): return int(eval(input())) def reads(): return [int(x) for x in input().split()] K, N = reads() MOD = 998244353 MAXN = 4020 fact = [1] * MAXN for i in range(1, MAXN): fact[i] = (fact[i-1] * i) % MOD invfact = [0] * MAXN; invfact[-1] = pow(fact[-1], MOD-2, MOD) for i in range(MAXN-2, -1, -1): invfact[i] = invfact[i+1] * (i+1) % MOD def comb(n, k): return fact[n] * invfact[n-k] * invfact[k] % MOD if 0 <= k <= n else 0 def h(n, k): return comb(n+k-1, n) def solve(n, k, u): ans = 0 for q in range(u+1): ans = (ans + comb(u, q) * pow(2, u-q, MOD) % MOD * h(n-u+q, k-q-u)) % MOD return ans anss = [0] * (2*K+1) for i in range(2, K+2): u = sum(j < i-j <= K for j in range(1, K+1)) if i % 2 == 1: ans = solve(N, K, u) else: ans = (solve(N, K-1, u) + solve(N-1, K-1, u)) % MOD anss[i] = ans print(ans) for j in range(K+2, 2*K+1): print((anss[2*K - j + 2]))
p03270
k,n =list(map(int,input().split())) mod = 998244353 fact=[1]*5000 for i in range(1,len(fact)): fact[i] = fact[i-1]*i%mod def comb(n,k,p): if com[n][k] != -1: return com[n][k] if n<0 or k<0 or n<k: return 0 if n==0 or k==0: return 1 a=fact[n] b=fact[k] c=fact[n-k] yey = (a*power_func(b,p-2,p)*power_func(c,p-2,p))%p com[n][k] = yey return yey def power_func(a,b,p): if b==0: return 1 if b%2==0: d=power_func(a,b//2,p) return d*d %p if b%2==1: return (a*power_func(a,b-1,p ))%p com = [[-1] *4050 for i in range(4050)] for i in range(2,2*k+1): ans = 0 if i %2 == 1: pp = (i+1)//2 pm = i - pp p = min(k-pp+1,pm) for q in range(p+1): sen = comb(p,q,mod)*power_func(2,q,mod)%mod if n - q<0: continue r = k-p*2 if r <0: r = 0 ans += sen* comb(n+r-1,n-q,mod)%mod print((ans%mod)) else: pp = i//2 +1 pm = i//2 -1 p = min(k-pp+1,pm) for q in range(p+1): sen = comb(p,q,mod)*power_func(2,q,mod)%mod if n - q<0: continue r = k-p*2-1 if r <0: r = 0 ans += sen* comb(n+r-1,n-q,mod)%mod for q in range(p+1): sen = comb(p,q,mod)*power_func(2,q,mod)%mod if n - q-1<0: continue r = k-p*2-1 if r <0: r = 0 ans += sen* comb(n+r-2,n-q-1,mod)%mod print((ans%mod))
k,n =list(map(int,input().split())) mod = 998244353 fact = [1]*(n+k+1) rfact = [1]*(n+k+1) for i in range(n+k): fact[i+1] = rr = ((i+1) * fact[i]) % mod rfact[i+1] = pow(rr, mod-2, mod) def comb(N, K,mod): return fact[N] * rfact[K] * rfact[N-K] % mod kota = [] for i in range(2,k+2): ans = 0 if i %2 == 1: pp = (i+1)//2 pm = i - pp p = min(k-pp+1,pm) for q in range(p+1): sen = comb(p,q,mod)*pow(2,q,mod)%mod if n - q<0: break r = k-p*2 if r <0: r = 0 if n+r-1 < n-q: continue ans += sen* comb(n+r-1,n-q,mod)%mod kota.append(ans%mod) else: pp = i//2 +1 pm = i//2 -1 p = min(k-pp+1,pm) for q in range(p+1): sen = comb(p,q,mod)*pow(2,q,mod)%mod if n - q<0: break r = k-p*2-1 if r <0: r = 0 if n+r-1 < n-q: continue ans += sen* comb(n+r-1,n-q,mod)%mod for q in range(p+1): sen = comb(p,q,mod)*pow(2,q,mod)%mod if n - q-1<0: break r = k-p*2-1 if r <0: r = 0 if n+r-2 < n-q-1: continue ans += sen* comb(n+r-2,n-q-1,mod)%mod kota.append(ans%mod) for i in kota: print(i) for i in range(len(kota)-2,-1,-1): print((kota[i]))
p03270
K, N = list(map(int, input().split())) mod = 998244353 A = [] p = mod - 2 while p != 0: A = [p%2] + A[:] p //= 2 def inved(x): y = 1 for _ in range(len(A)): if A[_] == 1: y *= x y %= mod if _ != len(A) - 1: y *= y y %= mod return y X = [0 for i in range(2*K-1)] frac = [1] for i in range(N + K): frac.append(((i+1)*frac[i])%mod) invf = [] for i in range(N + K + 1): invf.append(inved(frac[i])) for k in range(2, K+2): S = 0 sign = 1 l = k // 2 for m in range(min(l+1, N//2+1)): prod = (sign * (frac[l]*frac[N+K-2*m-1])) % mod prod *= (invf[m]*invf[l-m]) % mod prod %= mod prod *= (invf[N-2*m] * invf[K-1]) % mod prod %= mod S += prod S %= mod sign *= -1 X[k-2], X[2*K-k] = S, S for i in range(2*K-1): print((X[i]))
K, N = list(map(int, input().split())) mod = 998244353 def inved(a): x, y, u, v, k, l = 1, 0, 0, 1, a, mod while l != 0: x, y, u, v = u, v, x - u * (k // l), y - v * (k // l) k, l = l, k % l return x % mod X = [0 for i in range(2*K-1)] frac = [1] for i in range(N + K): frac.append(((i+1)*frac[i])%mod) invf = [] for i in range(N + K + 1): invf.append(inved(frac[i])) for k in range(2, K+2): S = 0 sign = 1 l = k // 2 for m in range(min(l+1, N//2+1)): prod = (sign * (frac[l]*frac[N+K-2*m-1])) % mod prod *= (invf[m]*invf[l-m]) % mod prod %= mod prod *= (invf[N-2*m] * invf[K-1]) % mod prod %= mod S += prod S %= mod sign *= -1 X[k-2], X[2*K-k] = S, S for i in range(2*K-1): print((X[i]))
p03270
from itertools import combinations n = int(eval(input())) r = list(range(n)) a = [(set(), set()) for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y].add(x - 1) fail = lambda x: not all(a[i][0].isdisjoint(x) and a[i][1].issubset(x) for i in x) while all(map(fail, combinations(r, n))): n -= 1 print(n)
from itertools import combinations n = int(eval(input())) r = list(range(n)) a = [(set(), set()) for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y].add(x - 1) fail = lambda x: not all(a[i][0].isdisjoint(x) and a[i][1] < x for i in x) while all(map(fail, list(map(set, combinations(r, n))))): n -= 1 print(n)
p02837
from itertools import combinations n = int(eval(input())) r = list(range(n)) a = [([], []) for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y].append(x - 1) fail = lambda x: not all(x.isdisjoint(a[i][0]) and x.issuperset(a[i][1]) for i in x) while all(map(fail, list(map(set, combinations(r, n))))): n -= 1 print(n)
from itertools import combinations n = int(eval(input())) r = list(range(n)) a = [(set(), set()) for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y].add(x - 1) fail = lambda x: not all(a[i][0].isdisjoint(x) and a[i][1] < x for i in x) while all(map(fail, list(map(set, combinations(r, n))))): n -= 1 print(n)
p02837
def popcount(x): r = 0 while x: r += 1 x &= x - 1 return r n = int(eval(input())) r = list(range(n)) a = [[0, 0] for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y] |= 1 << (x - 1) m = 0 l = (1 << n) - 1 for x in range(1, l + 1): if all(a[i][0] & x == a[i][1] & l - x == 0 for i in r if x >> i & 1): m = max(m, popcount(x)) print(m)
def popcount(x): r, q = 0, x while x: r += 1 x &= x - 1 return r, q n = int(eval(input())) r = list(range(n)) a = [[0, 0] for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y] |= 1 << (x - 1) l = (1 << n) - 1 b = sorted(map(popcount, list(range(1, l + 1)))) ans = next((i for i, x in reversed(b) if all(a[j][0] & x == a[j][1] & l - x == 0 for j in r if x >> j & 1)), 0) print(ans)
p02837
def popcount(x): r, q = 0, x while x: r += 1 x &= x - 1 return r, q n = int(eval(input())) r = list(range(n)) a = [[0, 0] for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y] |= 1 << (x - 1) l = (1 << n) - 1 b = sorted(map(popcount, list(range(1, l + 1)))) ans = next((i for i, x in reversed(b) if all(a[j][0] & x == a[j][1] & l - x == 0 for j in r if x >> j & 1)), 0) print(ans)
from itertools import combinations, count n = int(eval(input())) r = list(range(n)) a = [(set(), set()) for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y].add(x - 1) r = next(i for i in count(n, - 1) for x in map(set, combinations(r, i)) if all(a[j][0].isdisjoint(x) and a[j][1] < x for j in x)) print(r)
p02837
from itertools import combinations, count n = int(eval(input())) r = list(range(n)) a = [(set(), set()) for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y].add(x - 1) r = next(i for i in count(n, -1) for x in map(set, combinations(r, i)) if all(a[j][0].isdisjoint(x) and a[j][1].issubset(x) for j in x)) print(r)
from itertools import combinations, count n = int(eval(input())) r = list(range(n)) a = [(set(), set()) for _ in r] for i in r: for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) a[i][y].add(x - 1) r = next(i for i in count(n, -1) for x in map(set, combinations(r, i)) if all(a[j][0].isdisjoint(x) and a[j][1] < x for j in x)) print(r)
p02837
import sys from pprint import pprint def solve(n, info): ans = 0 for i in range(2 ** n): true_info = {} p_info = [0] * n for j in range(n): if (i >> j) & 1: true_info[j] = info[j] for x, y in info[j]: if y == 1: true_info[x-1] = info[x-1] # pprint(info[j]) p_info[j] = 1 # print("p_info") # pprint(p_info) # print("true_info") # pprint(true_info) flag = True for _, info_list in list(true_info.items()): for x, y in info_list: if p_info[x-1] != y: flag = False break if not flag: break if flag: # pprint(true_info) ans = max(ans, sum(p_info)) print(ans) if __name__ == '__main__': n = int(sys.stdin.readline().strip()) info = [] for i in range(n): a = int(sys.stdin.readline().strip()) info.append([]) for _ in range(a): x, y = list(map(int, sys.stdin.readline().strip().split(" "))) info[i].append((x, y)) # pprint(info) solve(n, info)
import sys from pprint import pprint def solve(n, info): ans = 0 for i in range(2 ** n): true_info = {} p_info = [0] * n for j in range(n): if (i >> j) & 1: true_info[j] = info[j] # pprint(info[j]) p_info[j] = 1 # print("p_info") # pprint(p_info) # print("true_info") # pprint(true_info) flag = True for _, info_list in list(true_info.items()): for x, y in info_list: if p_info[x-1] != y: flag = False break if not flag: break if flag: # pprint(true_info) ans = max(ans, sum(p_info)) print(ans) if __name__ == '__main__': n = int(sys.stdin.readline().strip()) info = [] for i in range(n): a = int(sys.stdin.readline().strip()) info.append([]) for _ in range(a): x, y = list(map(int, sys.stdin.readline().strip().split(" "))) info[i].append((x, y)) # pprint(info) solve(n, info)
p02837
n=int(eval(input())) X=[]*n A=[]*n for i in range(n): a=int(eval(input())) A.append(a) xy = [list(map(int,input().split())) for _ in range(a)] X.append(xy) ans=0 for i in range(2**n): cnt=0 for j in range(n): if (i>>j)&1: for k,l in X[j]: if not ((i>>(k-1))&1)==l: cnt=1 break if cnt==0: ans = max(ans,bin(i).count("1")) print(ans)
n=int(eval(input())) X=[]*n for i in range(n): a=int(eval(input())) xy = [list(map(int,input().split())) for _ in range(a)] X.append(xy) ans=0 for i in range(2**n): cnt=0 for j in range(n): if (i>>j)&1: for k,l in X[j]: if not ((i>>(k-1))&1)==l: cnt=1 break if cnt==0: ans = max(ans,bin(i).count("1")) print(ans)
p02837
import sys sys.setrecursionlimit(10**7) N = int(eval(input())) claim = [] for _ in range(N): memo = [] A = int(eval(input())) for _ in range(A): x, y = input().split() memo.append((x,y)) claim.append(memo) maximam = 0 for i in range(2**N): flag = True bin_i = (N - len(str(bin(i))[2:]))*["0"] + list(bin(i))[2:] for j, man in enumerate(bin_i): if man == "0": continue for x, y in claim[j]: if bin_i[int(x)-1] != y: flag = False if flag: count = 0 for b in bin_i: if b=="1": count+=1 maximam = max(maximam,count) print(count)
import sys sys.setrecursionlimit(10**7) N = int(eval(input())) claim = [] for _ in range(N): memo = [] A = int(eval(input())) for _ in range(A): x, y = list(map(int, input().split())) memo.append((x,y)) claim.append(memo) maximam = 0 for bit in range(2**N): flag = True count = 0 for i in range(N): if bit & (1<<i): count+=1 for x, y in claim[i]: if (bit & (1<<(x-1)) and y==0) or (not (bit & (1<<(x-1))) and y==1): flag = False if flag: maximam = max(maximam,count) print(maximam)
p02837
import itertools import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines n = int(readline()) xy = [] for _ in range(n): m = int(readline()) tmp = [list(map(int, readline().split())) for _ in range(m)] xy.append(tmp) ans = 0 for l in list(itertools.product([0, 1], repeat=n)): bl = True for i,a in enumerate(l): if a == 1: for b in xy[i]: if l[b[0] - 1] != b[1]: bl = False if bl: ans = max(ans, sum(l)) print(ans)
import itertools import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines n = int(readline()) xy = [] for _ in range(n): m = int(readline()) tmp = [list(map(int, readline().split())) for _ in range(m)] xy.append(tmp) # 逆から for l in sorted(itertools.product([0, 1], repeat=n),reverse=True): bl = True for i, a in enumerate(l): if a == 1: for b in xy[i]: if l[b[0] - 1] != b[1]: bl = False break if bl: print((sum(l))) exit() print('0')
p02837
N = int(eval(input())) A = [] XY = [] honest_count = [] for i in range (N): a = int(eval(input())) A.append(a) inter = [] for x in range(a): xy = list(map(int, input().split())) inter.append(xy) XY.append(inter) for i in range(2 ** N): pt = [0] * N ck = 1 for j in range(N): if (i >> j) & 1: pt[N - j - 1] = 1 for k in range(N): # k人目が正直者の場合チェック if pt[k] == 1: for l in range(A[k]): if XY[k][l][1] != pt[XY[k][l][0] - 1]: ck = 0 if ck == 1: honest_count.append(sum(pt)) print((max(honest_count)))
import itertools n = int(eval(input())) l = [] for i in range(n): d = int(eval(input())) for dd in range(d): x, y = list(map(int, input().split())) l.append([i, x-1, y]) ans = 0 for p in itertools.product([0, 1], repeat=n): for ll in l: if p[ll[0]] == 1 and p[ll[1]] != ll[2]: break else: ans = max(ans, sum(p)) print(ans)
p02837
import sys input = sys.stdin.readline n = int(eval(input())) chk = [[set(),set()] for _ in range(n)] for o in range(n): a = int(eval(input())) for i in range(a): x,y = [int(i) for i in input().split()] if y == 0: chk[o][0].add(x-1) if y == 1: chk[o][1].add(x-1) chk = tuple(chk) answer = 0 for i in range(2**n): b = format(i,'b') b = b.zfill(n)[::-1] chk_0 = set() chk_1 = set() p = [] for j in range(n): if b[j] == '1': p.append(j) chk_1.add(j) if b[j] == '0': chk_0.add(j) for i in p: if not chk[i][0] <= chk_0: break if not chk[i][1] <= chk_1: break if i == p[len(p)-1]: answer = max(answer,len(p)) print(answer)
n = int(eval(input())) a = [] xy = [] for i in range(n): a += [int(eval(input()))] xy += [[list(map(int,input().split())) for i in range(a[i])]] honest = [] for i in range(2 ** n): flag = 0 for j in range(n): if (i >> j)&1 == 1: #j番目は正直であるとき for person_state in xy[j]: if (i >> (person_state[0]-1) & 1) != person_state[1]: flag = 1 #矛盾が生じるとflagを立てる break if flag == 0: honest += [bin(i)[2:].count("1")] print((max(honest)))
p02837
import sys input = sys.stdin.readline def main(): N = int(eval(input())) A = [[set(), set()] for _ in range(N)] for i in range(N): m = int(eval(input())) for j in range(m): x, y = list(map(int, input().split())) A[i][y].add(x) ans = 0 for i in range(1 << N): h = set() u = set() for j in range(N): if (i >> j) & 1: h.add(j+1) else: u.add(j+1) b = True for k in list(h): k -= 1 h |= A[k][1] u |= A[k][0] if h & u: b = False if b: ans = max(ans, bin(i).count("1")) print(ans) if __name__ == '__main__': main()
import sys input = sys.stdin.readline def main(): N = int(eval(input())) A = [[set(), set()] for _ in range(N)] for i in range(N): m = int(eval(input())) for j in range(m): x, y = list(map(int, input().split())) A[i][y].add(x) ans = 0 for i in range(1 << N): h = set() u = set() for j in range(N): if (i >> j) & 1: h.add(j+1) else: u.add(j+1) b = True for k in list(h): k -= 1 h |= A[k][1] u |= A[k][0] if h & u: b = False break if b: ans = max(ans, bin(i).count("1")) print(ans) if __name__ == '__main__': main()
p02837
import sys input = sys.stdin.readline def main(): N = int(eval(input())) A = [[set(), set()] for _ in range(N)] for i in range(N): m = int(eval(input())) for j in range(m): x, y = list(map(int, input().split())) A[i][y].add(x) ans = 0 for i in range(1 << N): h, u = set(), set() for j in range(N): if (i >> j) & 1: h.add(j+1) else: u.add(j+1) for k in list(h): h |= A[k-1][1] u |= A[k-1][0] if not (h & u): ans = max(ans, bin(i).count("1")) print(ans) if __name__ == '__main__': main()
import sys input = sys.stdin.readline def main(): N = int(eval(input())) A = [[set(), set()] for _ in range(N)] for i in range(N): m = int(eval(input())) for j in range(m): x, y = list(map(int, input().split())) A[i][y].add(x) ans = 0 for i in range(1 << N): h, u = set(), set() for j in range(N): if (i >> j) & 1: h.add(j+1) h |= A[j][1] u |= A[j][0] else: u.add(j+1) if not (h & u): ans = max(ans, bin(i).count("1")) print(ans) if __name__ == '__main__': main()
p02837
import sys input = sys.stdin.readline def main(): N = int(eval(input())) A = [[set(), set()] for _ in range(N)] for i in range(N): m = int(eval(input())) for j in range(m): x, y = list(map(int, input().split())) A[i][y].add(x) ans = 0 for i in range(1 << N): h, u = set(), set() for j in range(N): if (i >> j) & 1: h.add(j+1) h |= A[j][1] u |= A[j][0] else: u.add(j+1) if not (h & u): ans = max(ans, bin(i).count("1")) print(ans) if __name__ == '__main__': main()
import sys input = sys.stdin.readline def main(): N = int(eval(input())) A = [[set(), set()] for _ in range(N)] for i in range(N): m = int(eval(input())) for j in range(m): x, y = list(map(int, input().split())) A[i][y].add(x) ans = 0 for i in range(1 << N): h, u = set(), set() for j in range(N): if (i >> j) & 1: h.add(j+1) h |= A[j][1] u |= A[j][0] else: u.add(j+1) if not (h & u): ans = max(ans, len(h)) print(ans) if __name__ == '__main__': main()
p02837
# ABC147C - HonestOrUnkind2 from itertools import combinations def main(): N = int(eval(input())) testimonies = {i: {} for i in range(1, N + 1)} for i in range(1, N + 1): A = int(eval(input())) for _ in range(A): x, y = list(map(int, input().split())) testimonies[i][x] = y for cnt_honest in range(N, 0, -1): for honest_people in combinations(list(range(1, N + 1)), cnt_honest): honest_people = set(honest_people) is_consistent = True for i in honest_people: for x, y in list(testimonies[i].items()): if (x in honest_people and not y) or (x not in honest_people and y): is_consistent = False break if not is_consistent: break if is_consistent: print(cnt_honest) return print((0)) if __name__ == "__main__": main()
# ABC147C - HonestOrUnkind2 from itertools import combinations def main(): N = int(eval(input())) testimonies = [[] for i in range(N + 1)] for i in range(1, N + 1): A = int(eval(input())) for _ in range(A): x, y = list(map(int, input().split())) testimonies[i].append((x, y)) for cnt_honest in range(N, 0, -1): for honest_people in combinations(list(range(1, N + 1)), cnt_honest): honest_people = set(honest_people) is_consistent = True for i in honest_people: for x, y in testimonies[i]: if (x in honest_people and not y) or (x not in honest_people and y): is_consistent = False break if not is_consistent: break if is_consistent: print(cnt_honest) return print((0)) if __name__ == "__main__": main()
p02837
from itertools import product N = int(eval(input())) A = [] XY = [[] for _ in range(N)] for i in range(N): A.append(int(eval(input()))) for j in range(A[i]): XY[i].append(list(map(int, input().split()))) ans = 0 for pattern in product(list(range(2)), repeat=N): # 0:不正直 1:正直 flag = True for i in range(N): if pattern[i]: # iさんが正直と仮定 # 発言と一致するか? for a in range(A[i]): if pattern[XY[i][a][0]-1] != XY[i][a][1]: flag = False break if flag: ans = max(ans, sum(pattern)) print(ans)
N = int(eval(input())) XY = [] for i in range(N): A = int(eval(input())) XY.append([list(map(int, input().split())) for _ in range(A)]) ans = 0 for bit in range(1 << N): honest_cnt = 0 flag = True for i in range(N): if (bit >> i) & 1 == 0: continue honest_cnt += 1 for x, y in XY[i]: if (bit >> (x-1)) & 1 != y: flag = False break if flag: ans = max(ans, honest_cnt) print(ans)
p02837
N=int(eval(input())) A=[] X=list() for i in range(N): X.append([]) Y=list() for i in range(N): Y.append([]) for i in range(N): A_i=int(eval(input())) A.append(A_i) for j in range(A_i): x,y=list(map(int,input().split())) X[i].append(x) Y[i].append(y) max_nin=0 #bit全探索 for i in range(1<<N): honest_kamo=[] for j in range(N): if(i>>j)&1: honest_kamo.append(j) liar_kamo=[c for c in range(N)] liar_kamo=list(set(liar_kamo)-set(honest_kamo)) #print("honest_kamo:",honest_kamo) #print("liar_kamo:",liar_kamo) flag=True for i in honest_kamo: for j in range(A[i]): if Y[i][j]==1: if X[i][j]-1 in liar_kamo: flag=False elif Y[i][j]==0: if X[i][j]-1 in honest_kamo: flag=False #print(flag) if flag: max_nin=max(max_nin,len(honest_kamo)) print(max_nin)
from sys import stdin def main(): #入力 readline=stdin.readline n=int(readline()) shogen=[] nums=[] for i in range(n): a=int(readline()) nums.append(a) xy=[0]*a for j in range(a): xy[j]=list(map(int,readline().split())) shogen.append(xy) res=0 for i in range(1<<n): output=[] for j in range(n): if(i>>j)&1: output.append(j) flag=True for p in output: num_p=nums[p] shogen_p=shogen[p] for j in range(num_p): if shogen_p[j][1]==1: if shogen_p[j][0]-1 in output: pass else: flag=False break else: if shogen_p[j][0]-1 in output: flag=False break else: pass if flag==False: break else: res=max(res,len(output)) print(res) if __name__=="__main__": main()
p02837
N = int(eval(input())) path = [] ans = 0 ap = path.append for i in range(N): A = int(eval(input())) ap([]) for j in range(A): x, y = list(map(int,input().split())) x -= 1 path[-1].append((x, y)) for i in range(1<<N): i |= (1<<N) judge = True for j in range(N): if (1<<j) & i: for k in range(len(path[j])): if path[j][k][1] != int(bin(i)[-path[j][k][0] - 1]): judge = False if judge: if ans < bin(i).count("1") - 1: ans = bin(i).count("1") - 1 print(ans)
N = int(eval(input())) path = [] ans = 0 for i in range(N): A = int(eval(input())) path.append([]) for j in range(A): x, y = list(map(int,input().split())) x -= 1 path[-1].append((x, y)) for i in range(1<<N): i |= (1<<N) judge = True for j in range(N): if not judge: break if (1<<j) & i: for k in range(len(path[j])): if path[j][k][1] != int(bin(i)[-path[j][k][0] - 1]): judge = False break if judge: if ans < bin(i).count("1") - 1: ans = bin(i).count("1") - 1 print(ans)
p02837
n = int(eval(input())) la, lxy = [], [] for i in range(n): a = int(eval(input())) la.append(a) xy = [] for j in range(a): xy.append(list(map(int, input().split()))) lxy.append(xy) lb = [] for i in range(2**n): lb += [str(bin(i))[2:].zfill(n)] lc = [sum(int(j) for j in i) for i in lb] lc, lb = list(zip(*sorted(zip(lc, lb), reverse=True))) lb = [[int(j) for j in i] for i in lb] for l in lb: ok = 1 for i in range(n): a = la[i] for j in range(a): x, y = lxy[i][j] if l[i] == 1 and l[x-1] != y: ok = 0 break if ok: print((sum(int(k) for k in l))) break else: print((0))
import sys input = sys.stdin.readline n = int(eval(input())) la, lxy = [], [] for i in range(n): a = int(eval(input())) la.append(a) xy = [] for j in range(a): xy.append(list(map(int, input().split()))) lxy.append(xy) lb = [] for i in range(2**n): lb += [str(bin(i))[2:].zfill(n)] lc = [sum(int(j) for j in i) for i in lb] lc, lb = list(zip(*sorted(zip(lc, lb), reverse=True))) lb = [[int(j) for j in i] for i in lb] for l in lb: ok = 1 for i in range(n): a = la[i] for j in range(a): x, y = lxy[i][j] if l[i] == 1 and l[x-1] != y: ok = 0 break if ok: print((sum(int(k) for k in l))) break else: print((0))
p02837
n=int(eval(input())) A=[{} for _ in range(n)] for i in range(n): for _ in range(int(eval(input()))): x,y=list(map(int,input().split())) A[i][x]=y a=0 for i in range(2**n): t=0 for j in range(n): if i>>j&1: if A[j] and any(i>>~-k&1!=A[j][k] for k in A[j]): break else: t+=1 else: a=max(a,t) print(a)
n=int(eval(input())) A=[] for i in range(n): for _ in range(int(eval(input()))): x,y=list(map(int,input().split())) A+=[(i,x-1,y)] a=0 for i in range(2**n): if all(i>>j&1<1 or i>>x&1==y for j,x,y in A): a=max(a,sum(map(int,bin(i)[2:]))) print(a)
p02837
N = int(eval(input())) XY = [] for _ in range(N): A = int(eval(input())) temp = [] for _ in range(A): temp.append(list(map(int, input().split()))) XY.append(temp) max_honest = 0 for c in range(1 << N): check = [0] * N contradict = False temp = c cnt2 = 0 while temp != 0: if 1 & temp: check[cnt2] = 1 temp >>= 1 cnt2 += 1 for i in range(N): if check[i] == 1: for x, y in XY[i]: if check[x - 1] != y: contradict = True break if contradict: break if not contradict: cnt1 = 0 for i in range(N): if check[i] is not None and check[i] == 1: cnt1 += 1 max_honest = max(max_honest, cnt1) print(max_honest)
N = int(eval(input())) XY = [] for _ in range(N): A = int(eval(input())) temp = [] for _ in range(A): temp.append(list(map(int, input().split()))) XY.append(temp) max_honest = 0 for c in range(1 << N): check = [0] * N contradict = False cnt1 = 0 while c != 0: if 1 & c: check[cnt1] = 1 c >>= 1 cnt1 += 1 for i in range(N): if check[i] == 1: for x, y in XY[i]: if check[x - 1] != y: contradict = True break if contradict: break if not contradict: max_honest = max(max_honest, sum(check)) print(max_honest)
p02837
N = int(eval(input())) testimony = [[]for i in range(N)] for i in range(N): num = int(eval(input())) for j in range(num): person, state = list(map(int, input().split())) testimony[i].append([person-1,state])#3次元配列の作り方 honest = 0 for i in range(1, 2**N): flag = 0 for j in range(N): if(i>>j)&1 == 1: for x,y in testimony[j]:#3次元リストからx,yを取り出す書きかた 覚える if (i>>x)&1 != y: #正直といっているがそうではない と 嘘つきといっているがそうではない の二つ同時 flag =1 break if flag == 0: honest = max(honest, bin(i)[2:].count('1'))# bin()で二進数に変換 最初の二文字は0bで取り除く count('1')で数える print(honest)
n = int(eval(input())) testimony = [[] for _ in range(n)] for i in range(n): for j in range(int(eval(input()))): x,y = list(map(int, input().split())) testimony[i].append((x,y)) honest = 0 for i in range(2**n): flag = True for j in range(n): if (i>>j)&1: for x,y in testimony[j]: if (i>>(x-1))&1 != y: flag = False break if flag: honest = max(honest, bin(i)[2:].count('1')) print(honest)
p02837
n = int(eval(input())) def make_remark_list(i, r): # -1: 不明, 0: 嘘つき, 1: 真実 people = [-1] * n people[i] = 1 for x, y in r: people[x - 1] = y return people def check(x, y): new_list = [] for a, b in zip(x, y): a, b = min(a, b), max(a, b) if (a, b) == (0, 1): return False elif (a, b) == (-1, 0): new_list.append(0) else: new_list.append(max(a, b)) return new_list remarks = [] for i in range(n): a = int(eval(input())) r = [tuple(map(int, input().split())) for _ in range(a)] remarks.append(make_remark_list(i, r)) def max_count(r, cnt, i = 0): tmp = r for j, r_j in enumerate(remarks): if j < i: continue if tmp[j] == 0: continue elif tmp[j] == 1: if check(tmp, r_j): tmp = check(tmp, r_j) cnt += 1 else: cnt = 0 break else: tmp[j] = 1 if check(tmp, r_j): cnt_1, tmp_1 = max_count(tmp, cnt, j) tmp[j] = 0 cnt_0, tmp_0 = max_count(tmp, cnt, j) if cnt_0 > cnt_1: return cnt_0, tmp_0 else: return cnt_1, tmp_1 else: tmp[j] = 0 return cnt, tmp r = [-1] * n cnt, r = max_count(r, 0) print(cnt)
def check(x, y): for a, b in zip(x, y): if a != b and b != -1: return False else: return True n = int(eval(input())) remarks = [] cnt_max = 0 for _ in range(n): a = int(eval(input())) x = [tuple(map(int, input().split())) for i in range(a)] r = [-1] * n for i, j in x: r[i - 1] = j remarks.append(r) for r in range(2 ** n): r = list(bin(r)[2:].zfill(n)) r = [int(i) for i in r[:]] cnt = 0 for i in range(n): if r[i] == 1: flag = check(r, remarks[i]) cnt += 1 if not flag: cnt = 0 break cnt_max = max(cnt, cnt_max) print(cnt_max)
p02837
#!/usr/bin/env python3 import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 7) N = int(readline()) tes = [[-1]*N for i in range(N)] for i in range(N): A = int(readline()) for j in range(A): x,y = list(map(int,readline().rstrip().split())) tes[i][x-1] = y #ここまでが入力 cnt = 0 for i in range(2**N): hon = [0]*N for j in range(N): if (i>>j)&1: hon[j] = 1 #全状態2**N通りを作っておく flag = True for j in range(N): if hon[j]: #hon=1ならtesとの整合性を比較 for k in range(N): if tes[j][k] == -1: continue #証言されていない部分は飛ばす if tes[j][k] != hon[k]: flag = False if flag: cnt = max(cnt,hon.count(1)) print(cnt)
#!/usr/bin/env python3 import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 7) N = int(readline()) tes = [[-1]*N for i in range(N)] for i in range(N): A = int(readline()) for j in range(A): x,y = list(map(int,readline().rstrip().split())) tes[i][x-1] = y cnt = 0 for i in range(2**N): hon = [0]*N for j in range(N): if (i>>j)&1: hon[j] = 1 flag = True for j in range(N): if hon[j]: for k in range(N): if tes[j][k] == -1: continue if tes[j][k] != hon[k]: flag = False break if not flag: break if flag: cnt = max(cnt,hon.count(1)) print(cnt)
p02837
#!/usr/bin/env python3 import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 7) N = int(readline()) tes = [[-1]*N for i in range(N)] for i in range(N): A = int(readline()) for j in range(A): x,y = list(map(int,readline().rstrip().split())) tes[i][x-1] = y cnt = 0 for i in range(2**N): hon = [0]*N for j in range(N): if (i>>j)&1: hon[j] = 1 flag = True for j in range(N): if hon[j]: for k in range(N): if tes[j][k] == -1: continue if tes[j][k] != hon[k]: flag = False break if not flag: break if flag: cnt = max(cnt,hon.count(1)) print(cnt)
#!/usr/bin/env python3 import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 7) N = int(readline()) tes = [[-1]*N for i in range(N)] for i in range(N): A = int(readline()) for j in range(A): x,y = list(map(int,readline().rstrip().split())) tes[i][x-1] = y cnt = 0 for i in range(2**N): hon = [0]*N for j in range(N): if (i>>j)&1: hon[j] = 1 flag = True for j in range(N): if not flag: break if hon[j]: for k in range(N): if tes[j][k] == -1: continue if tes[j][k] != hon[k]: flag = False break if flag: cnt = max(cnt,hon.count(1)) print(cnt)
p02837
#!/usr/bin/env python3 import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 7) N = int(readline()) tes = [[-1]*N for i in range(N)] for i in range(N): A = int(readline()) for j in range(A): x,y = list(map(int,readline().rstrip().split())) tes[i][x-1] = y cnt = 0 for i in range(2**N): hon = [0]*N for j in range(N): if (i>>j)&1: hon[j] = 1 flag = True for j in range(N): if not flag: break if hon[j]: for k in range(N): if tes[j][k] == -1: continue if tes[j][k] != hon[k]: flag = False break if flag: cnt = max(cnt,hon.count(1)) print(cnt)
#!/usr/bin/env python3 import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 7) N = int(readline()) tes = [[] for i in range(N)] for i in range(N): A = int(readline()) for j in range(A): x,y = list(map(int,readline().rstrip().split())) tes[i].append((x-1,y)) cnt = 0 for i in range(2**N): flag = True for j in range(N): if (i>>j)&1 == 1: for x,y in tes[j]: if (i>>x)&1 != y: flag = False break if flag: cnt = max(cnt,bin(i)[2:].count("1")) print(cnt)
p02837
import sys input = sys.stdin.readline N = int(eval(input())) STATE = [[]]*N for i in range(N): a = int(eval(input())) STATE[i] = [list(map(int, input().split())) for i in range(a)] def main(): ans = 0 for i in range(1<<N): ans = max(ans, detect(i)) print(ans) def detect(i): ONT = 0 for j in range(N): if not (i & 1<<j): continue ONT += 1 for x, y in STATE[j]: if (y==0) ^ (i>>(x-1) & 1) == 0: return 0 return ONT if __name__ == '__main__': main()
import sys input = sys.stdin.readline def main(): N = int(eval(input())) R = [[] for i in range(N)] for i in range(N): A = int(eval(input())) R[i] = [list(map(int, input().split())) for i in range(A)] ans = 0 for i in range(1<<N): CNT = 0 for j in range(N): if not (i>>j & 1): continue CNT += 1 for x, y in R[j]: if y == 1 and (i>>(x-1) & 1): continue elif y == 0 and (not (i>>(x-1) & 1)): continue else: CNT = 0 break else: continue break ans = max(ans, CNT) print(ans) if __name__ == '__main__': main()
p02837
from itertools import product n = int(eval(input())) d = {} for i in range(n): a = int(eval(input())) for _ in range(a): x, y = list(map(int, input().split())) if i + 1 not in d: d[i + 1] = [] d[i + 1].append((x, y)) ret = 0 for x in product((0, 1), repeat=n): tmp = [-1] * n ok = True for i in range(n): if x[i] == 1 and i + 1 in d: for y in d[i + 1]: if tmp[y[0] - 1] == -1: tmp[y[0] - 1] = y[1] elif tmp[y[0] - 1] != y[1]: ok = False break if not ok: break if ok and all(a == b or b == -1 for a, b in zip(x, tmp)): ret = max(ret, sum(x)) print(ret)
from itertools import product n = int(eval(input())) d = {} for i in range(n): a = int(eval(input())) for _ in range(a): x, y = list(map(int, input().split())) if i + 1 not in d: d[i + 1] = [] d[i + 1].append((x, y)) ret = 0 for x in product((0, 1), repeat=n): ok = True for i in range(n): if x[i] == 0 or i + 1 not in d: continue for p, tf in d[i + 1]: if x[p - 1] != tf: ok = False break if not ok: break if ok: ret = max(ret, sum(x)) print(ret)
p02837
n = int(eval(input())) a = [0]*n x = [[] for i in range(n)] y = [[] for i in range(n)] for i in range(n): a[i] = int(eval(input())) for j in range(a[i]): tmp1,tmp2 = list(map(int,input().split())) x[i].append(tmp1-1) y[i].append(tmp2) ans = 0 honest = [0]*n for i in range(2**n): #bit全探索 for j in range(n): if((i>>j)&1): honest[j] = 1 else: honest[j] = 0 f = True for k in range(n): for l in range(a[k]): if(honest[k]==1 and y[k][l]!=honest[x[k][l]]): f = False break if f: ans = max(ans,honest.count(1)) print(ans)
n = int(eval(input())) a = [0]*n x = [[] for i in range(n)] y = [[] for i in range(n)] for i in range(n): a[i] = int(eval(input())) for j in range(a[i]): tmp1,tmp2 = list(map(int,input().split())) x[i].append(tmp1-1) y[i].append(tmp2) ans = 0 honest = [0]*n cnt=0 for i in range(2**n): #bit全探索 for j in range(n): if((i>>j)&1): honest[j] = 1 cnt+=1 else: honest[j] = 0 f = True for k in range(n): if honest[k]!=1: continue for l in range(a[k]): if y[k][l]!=honest[x[k][l]]: f = False break if f: ans = max(ans,cnt) cnt=0 print(ans)
p02837
n = int(eval(input())) X = [[] for _ in range(n)] for i in range(n): a = int(eval(input())) for j in range(a): x, y = list(map(int, input().split())) x = x-1 X[i].append((x, y)) ans = 0 for i in range(2**n): cnt = 0 temp = [-1]*n for j in range(n): if (i >> j) & 1: cnt += 1 temp[j] = 1 else: temp[j] = 0 flag = True for j in range(n): if (i >> j) & 1: for x, y in X[j]: if temp[x] != y: flag = False if flag: ans = max(ans, cnt) print(ans)
n = int(eval(input())) g = [[] for _ in range(n)] for i in range(n): a = int(eval(input())) for j in range(a): x, y = list(map(int, input().split())) x -= 1 g[i].append((x, y)) ans = 0 for i in range(2**n): temp = [-1]*n for j in range(n): if (i >> j) & 1: temp[j] = 1 else: temp[j] = 0 flag = True for j in range(n): if temp[j] == 1: for x, y in g[j]: if temp[x] != y: flag = False if flag: ans = max(ans, sum(temp)) print(ans)
p02837
n = int(eval(input())) t = [[] for _ in range(n)] s = [[] for _ in range(n)] for i in range(n): a = int(eval(input())) for j in range(a): x, y = list(map(int, input().split())) if y == 1: t[i].append(x - 1) else: s[i].append(x - 1) res = 0 for k in range(pow(2, n)): judge = True cnt = 0 for i in range(n): if (k >> i) & 1 == 1: for e in t[i]: if (k >> e) & 1 == 0: judge = False for e in s[i]: if (k >> e) & 1 == 1: judge = False cnt += 1 if judge: res = max(res, cnt) print(res)
import itertools as it n = int(eval(input())) lis = [[] for _ in range(n)] val = list(it.product([0, 1], repeat=n)) for i in range(n): for j in range(int(eval(input()))): x, y = list(map(int, input().split())) x = x - 1 lis[i].append((x, y)) def honesty(k, lis, n): for i in range(n): if k[i] == 1: for l, m in lis[i]: if k[l] != m: return False return True res = 0 for k in val: if honesty(k, lis, n): res = max(res, sum(k)) print(res)
p02837
#!/usr/bin/env python3 #ABC147 C import sys import math from bisect import bisect_right as br from bisect import bisect_left as bl sys.setrecursionlimit(1000000) from heapq import heappush, heappop,heappushpop from collections import defaultdict from itertools import accumulate from collections import Counter from collections import deque from operator import itemgetter from itertools import permutations mod = 10**9 + 7 inf = float('inf') def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) n = I() ans = 0 lst = [[] for _ in range(n)] for i in range(n): a = I() for j in range(a): x,y = LI() lst[i].append((x-1,y)) for i in range(2**n): b = [0]*n for j in range(n): if (i >> j) & 1: b[j] = 1 flg = True for j in range(n): if b[j] == 0: continue for k,l in lst[j]: if l == 0: if b[k] == 1: flg = False break else: if b[k] == 0: flg = False break if not flg: break else: ans = max(ans,sum(b)) print(ans)
#!/usr/bin/env python3 import sys import math from bisect import bisect_right as br from bisect import bisect_left as bl sys.setrecursionlimit(2147483647) from heapq import heappush, heappop,heappushpop from collections import defaultdict from itertools import accumulate from collections import Counter from collections import deque from operator import itemgetter from itertools import permutations mod = 10**9 + 7 inf = float('inf') def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) n = I() ans = 0 info = [[] for _ in range(n)] for i in range(n): a = I() for _ in range(a): x, y = LI() info[i].append((x-1, y)) for i in range(1, 1 << n): ret = 0 for j in range(n): if i >> j & 1: ret += 1 for x, y in info[j]: if y == 0 and i >> x & 1: break elif y == 1 and not i >> x & 1: break else: continue break else: ans = max(ans, ret) print(ans)
p02837
from itertools import product as pro n = int(eval(input())) xy = [] for i in range(n): a_i = int(eval(input())) xy.append([tuple(map(int, input().split())) for _ in range(a_i)]) ans = 0 for l in pro([0, 1], repeat=n): for i, t in enumerate(l): if t == 1: if not all(l[x-1] == y for x, y in xy[i]): break else: ans = max(ans, sum(l)) print(ans)
from itertools import product n = int(eval(input())) xy = [] for _ in range(n): a = int(eval(input())) tmp = [list(map(int, input().split())) for _ in range(a)] xy.append(tmp) ans = 0 for bit in product([0, 1], repeat=n): for i, liar in enumerate(bit): if liar and any(bit[x - 1] != y for x, y in xy[i]): break else: ans = max(ans, sum(bit)) print(ans)
p02837
n=int(eval(input())) a=[] for i in range(n): m=int(eval(input())) a.append([]) for i in range(m): a[-1].append(list(map(int,input().split()))) ans=0 for i in range(2**n): s=bin(i)[2:].zfill(n) f=True for j,k in enumerate(a): for x,y in k: if s[x-1]!=str(y) and s[j]=="1":f=False if f:ans=max(ans,s.count("1")) print(ans)
n=int(eval(input())) xy=[[]for _ in range(n)] for i in range(n): for j in range(int(eval(input()))): xy[i].append(list(map(int,input().split()))) ans=0 for i in range(1,1<<n): syojiki=[(i&(1<<j)!=0)+0 for j in range(n)] flag=True for j in range(n): for x,y in xy[j]: if syojiki[x-1]!=y and syojiki[j]==1:flag=False if flag: ans=max(ans,syojiki.count(1)) print(ans)
p02837
import sys input = sys.stdin.readline def main(): n = int(eval(input())) remarks = [[]] * n max_v = 0 for i in range(n): a = int(eval(input())) remarks[i] = [tuple(map(int, input().split())) for _ in range(a)] for i in range(2 ** n): i_bin = format(i, 'b').zfill(n) if i_bin.count('1') <= max_v: continue is_true = True for j in range(n): if i_bin[j] == '1': for k in remarks[j]: if int(i_bin[k[0]-1]) != k[1]: is_true = False break if is_true == False: break if is_true: max_v = max(max_v, i_bin.count('1')) print(max_v) if __name__ == '__main__': main()
import sys def input(): return sys.stdin.readline().rstrip() def main(): n = int(eval(input())) said = [[]] * n for i in range(n): said[i] = [list(map(int, input().split())) for _ in range(int(eval(input())))] ans = 0 n_bit = '0' + str(n) + 'b' for i in range(2 ** n): i_bin = format(i, n_bit) i_bin_c = i_bin.count('1') if i_bin_c <= ans: continue isTrue = True for j in range(n): if i_bin[j] == '0': continue for k in said[j]: if int(i_bin[k[0]-1]) != k[1]: isTrue = False break if not isTrue: break if isTrue: ans = i_bin_c print(ans) if __name__ == '__main__': main()
p02837
from collections import defaultdict def is_testimony_correct(hypothesis, testimony): # 証言の対象者が仮説上、正直者となっているかを検証。 for target, is_honest in list(testimony.items()): if int(hypothesis[target]) == is_honest: continue return False return True def is_hypothesis_correct(hypothesis, testimony_dict): for witness_num, testimony in list(testimony_dict.items()): # 仮説上の正直者の証言だけ検証する if hypothesis[witness_num] == "1": # 証言を検証 if is_testimony_correct(hypothesis, testimony): continue else: # 証言に誤りがある場合、Falseで抜ける return False return True def main(): N = int(eval(input())) testimony_dict = defaultdict(dict) # 証人ごとに証言をdictで保存 for witness_num in range(N): for j in range(int(eval(input()))): target, is_honest = list(map(int, input().split())) testimony_dict[witness_num][target - 1] = is_honest # 仮説を検証 e.g.'010010' 正直者が2人 (witness_num =1, 4) max_count = 0 for i in range(1, 2**N): # 仮説を01で表現 hypothesis = format(i, 'b').zfill(N) # 仮説が正しい場合のみ、正直者の数でmax_countを更新 if is_hypothesis_correct(hypothesis, testimony_dict): max_count = max(max_count, hypothesis.count(str("1"))) print(max_count) if __name__ == '__main__': main()
from collections import defaultdict def is_testimony_correct(hypothesis, testimony): # 証言の対象者が仮説上、正直者となっているかを検証。 for target, is_honest in list(testimony.items()): if int(hypothesis[target]) == is_honest: continue return False return True def is_hypothesis_correct(hypothesis, testimony_dict): for witness_num, testimony in list(testimony_dict.items()): # 仮説上の正直者の証言だけ検証する if hypothesis[witness_num] == "1": # 証言を検証 if is_testimony_correct(hypothesis, testimony): continue else: # 証言に誤りがある場合、Falseで抜ける return False return True def main(): N = int(eval(input())) testimony_dict = defaultdict(dict) # 証人ごとに証言をdictで保存 for witness_num in range(N): for _ in range(int(eval(input()))): target, is_honest = list(map(int, input().split())) testimony_dict[witness_num][target - 1] = is_honest # 仮説を検証 e.g.'010010' 正直者が2人 (witness_num =1, 4) max_count = 0 for i in range(1, 2**N): # 仮説を01で表現 hypothesis = format(i, 'b').zfill(N) # 仮説が正しい場合のみ、正直者の数でmax_countを更新 if is_hypothesis_correct(hypothesis, testimony_dict): max_count = max(max_count, hypothesis.count(str("1"))) print(max_count) if __name__ == '__main__': main()
p02837
N = int(eval(input())) lst = [[] for _ in range(N)] for i in range(N): A = int(eval(input())) for _ in range(A): x, y = list(map(int, input().split())) lst[i].append([x - 1, y]) ans = 0 for i in range(2 ** N): check = [-1] * N #1:正直者、0:不親切 count = 0 #カウント用 flag = True for j in range(N): if (i >> j) & 1: #正直者のとき if check[j] == 0: #矛盾しているとき flag = False break else: check[j] = 1 # count += 1 for x, y in lst[j]: if y == 1: #行き先が正直者 if check[x] != 0: check[x] = 1 else: #矛盾しているとき flag = False break else: #y == 0 if check[x] != 1: check[x] = 0 else: flag = False break else: #正直者でないとき if check[j] == 1: flag = False break else: check[j] = 0 if flag == False: break if flag: tmp = 0 for j in range(N): if (i >> j) & 1: tmp += 1 # print (i) # print (check, flag) ans = max(ans, tmp) print (ans) # print (lst)
import sys input = sys.stdin.readline sys.setrecursionlimit(10 ** 9) MOD = 10 ** 9 + 7 N = int(eval(input())) lst = [[] for _ in range(N)] for i in range(N): A = int(eval(input())) for _ in range(A): XY = tuple(map(int, input().split())) lst[i].append(XY) ans = 0 for i in range(2 ** N): count = 0 flag = True for j in range(N): if (i >> j) & 1: #正直者の時、証言を確認する for x, y in lst[j]: if y == 1: if (i >> (x - 1)) & 1: continue else: pass if y == 0: if (i >> (x - 1)) & 1: pass else: continue flag = False break count += 1 if not flag: break if flag: ans = max(ans, count) print (ans)
p02837
# -*- coding: utf-8 -*- # C import sys # 再起回数上限変更 # sys.setrecursionlimit(1000000) from itertools import product N = int(eval(input())) A = [0] * N x = [] for i in range(N): A[i] = int(eval(input())) d = [] for j in range(A[i]): d.append(tuple(map(int, input().split()))) x.append(d) # print(x) ans = 0 for case in list(product([0,1], repeat=N)): # print(case) flg = [-1] * N cond = True for i in range(N): if not cond: continue if case[i] == 0: continue for a in range(A[i]): c, d = x[i][a] c = c-1 # print(c, d) if case[c] != d: cond = False # print('矛盾') if cond: ans = max(ans, sum(case)) print(ans)
# -*- coding: utf-8 -*- # C import sys # 再起回数上限変更 # sys.setrecursionlimit(1000000) from itertools import product N = int(eval(input())) A = [0] * N x = [] for i in range(N): A[i] = int(eval(input())) d = [] for j in range(A[i]): d.append(tuple(map(int, input().split()))) x.append(d) ans = 0 # for case in list(product([0,1], repeat=N)): for m in range(2**N): # print(case) flg = [-1] * N cond = True for i in range(N): if not cond: continue if m >> i & 1 == 0: continue for a in range(A[i]): c, d = x[i][a] c = c-1 # print(c, d) if m >> c & 1 != d: cond = False # print('矛盾') if cond: # ans = max(ans, sum(case)) ans = max(ans, bin(m).count('1')) print(ans)
p02837
n = int(eval(input())) l = [] A = [] for i in range(n): a = int(eval(input())) A += [a] l_1 = [] for j in range(a): l_1 += [list(map(int, input().split()))] l += [l_1] ans = 0 for i in range(1 << n): honest = [] liar = [] for j in range(n): if ((i >> j) & 1): if j + 1 in liar: break elif j + 1 not in honest: honest += [j + 1] sugg = l[j] for k in sugg: if k[1] == 1: if k[0] in liar: break elif k[0] not in honest: honest += [k[0]] else: if k[0] in honest: break elif k[0] not in liar: liar += [k[0]] else: continue break else: if j + 1 in honest: break elif j + 1 not in liar: liar += [j + 1] else: if ans < len(honest): ans = len(honest) print(ans)
n = int(eval(input())) num_of_sug = [] sug = [] for i in range(n): m = int(eval(input())) num_of_sug += [m] sug += [[tuple(map(int, input().split())) for _ in range(m)]] ans = 0 for i in range(2 ** n): liar = [] honest = [] for j in range(n): if ((i >> j) & 1): if j + 1 in liar: break elif j + 1 not in honest: honest += [j + 1] sug_tmp = sug[j] for sug_ in sug_tmp: if sug_[1] == 1: if sug_[0] in liar: break elif sug_[0] not in honest: honest += [sug_[0]] else: if sug_[0] in honest: break elif sug_[0] not in liar: liar += [sug_[0]] else: continue break else: if j + 1 in honest: break elif j + 1 not in liar: liar += [j + 1] else: if ans < len(honest): ans = len(honest) print(ans)
p02837
n = int(eval(input())) a = [0] * n s = [[]] * n for i in range(n): a[i] = int(eval(input())) tmp = [[]] * a[i] for j in range(a[i]): tmp[j] = [num for num in map(int, input().split())] s[i] = tmp # print(n) # print(a) # print(s) ans = 0 for i in range(2 ** n): pattern = '{:0' + str(n) + 'b}' bin_str = pattern.format(i) # print(bin_str) all_ok = True # すべての人の証言に矛盾がない total_honesty = 0 for j in range(n): shogen = s[j] if bin_str[j] == '1': total_honesty += 1 # 正直者とした場合 for k in range(len(shogen)): x, y = shogen[k] x -= 1 if int(bin_str[x]) != y: all_ok = False break if all_ok: if ans < total_honesty: ans = total_honesty print(ans)
n = int(eval(input())) a = [0] * n sl = [] for i in range(n): a = int(eval(input())) s = [] for j in range(a): x, y = list(map(int, input().split())) s.append([x, y]) sl.append(s) ans = 0 # bit 全探索 # 1 = 正直者、0 = 不親切な人 for i in range(1 << n): #print('pattern', bin(i)) all_ok = True for j in range(n): # 人j が正直者かどうか #print('j : {}'.format(j)) if i & (1 << j): # print(j) # 正直者であれば証言に矛盾があってはいけない s = sl[j] for k in range(len(s)): target = s[k][0] kind = s[k][1] # print('target {} : kind {}'.format(target, kind)) #print(target, kind, i & (1 << (target-1)), bool(i & (1 << (target-1))), bool(kind)) rk = 1 if (i & (1 << (target-1))) > 0 else 0 if rk != kind : #print('証言NG') # 証言がNG all_ok = False break if not all_ok: break else: # すべての正直者に矛盾がないパターン #print('ok', bin(i)) ans = max(ans, bin(i).count('1')) #print(sl) print(ans)
p02837
import itertools n = int(eval(input())) data = {} for x in range(n): data[x] = [] for y in range(int(eval(input()))): k, l = list(map(int, input().split())) data[x].append((k - 1, l)) ans = 0 for i in itertools.product([1,0], repeat=n): h = True for x in range(n): if i[x] == 1: for g in data[x]: if i[g[0]] != g[1]: h = False if h == False: break if h == True: ans = max(ans, sum(list(i))) print(ans)
import itertools n = int(eval(input())) data = [] for x in range(n): for y in range(int(eval(input()))): k, l = list(map(int, input().split())) data.append((x, k - 1, l)) ans = 0 for i in itertools.product([1,0], repeat=n): s = sum(list(i)) for g in data: if i[g[0]] == 1 and i[g[1]] != g[2]: s = 0 break ans = max(ans, s) print(ans)
p02837
import itertools n = int(eval(input())) data = [] for x in range(n): for y in range(int(eval(input()))): k, l = list(map(int, input().split())) data.append((x, k - 1, l)) ans = 0 for i in itertools.product([1,0], repeat=n): s = sum(list(i)) if ans > s: continue for g in data: if i[g[0]] == 1 and i[g[1]] != g[2]: s = 0 break ans = max(ans, s) print(ans)
import itertools import sys input = sys.stdin.readline n = int(eval(input())) data = [] for x in range(n): for y in range(int(eval(input()))): k, l = list(map(int, input().split())) data.append((x, k - 1, l)) ans = 0 for i in itertools.product([1,0], repeat=n): s = sum(list(i)) for g in data: if i[g[0]] == 1 and i[g[1]] != g[2]: s = 0 break ans = max(ans, s) print(ans)
p02837
def dudge(k): for i in reversed(list(range(n))): p = (k >> i) % 2 #print(' i = ', i, ' p = ', p) if p == 0: continue for claim in xy[i]: x = claim[0] y = claim[1] truth = (k >> x-1) % 2 #print(' x = ', x, ' y = ', y, ' t = ', truth) if truth == 1 and y == 0: return False elif truth == 0 and y == 1: return False return True n = int(eval(input())) xy = [] for i1 in range(n): ai = int(eval(input())) xy.append([]) for i2 in range(ai): xi,yi = list(map(int, input().split())) xy[i1].append((xi, yi)) #print(xy) result = 0 for k in reversed(list(range(1 << n))): #print(bin(k)) if dudge(k): #print(' True') #l = [i for i in range(n) if (k >> i) % 2 == 1] cnt = 0 for i in range(n): if (k >> i) % 2 == 1: cnt += 1 #print(' ', l, len(l)) #result = max(result, len(l)) result = max(result, cnt) print(result)
def dudge(k): for i in reversed(list(range(n))): p = (k >> i) % 2 #print(' i = ', i, ' p = ', p) if p == 0: continue for claim in xy[i]: x = claim[0] y = claim[1] truth = (k >> x-1) % 2 #print(' x = ', x, ' y = ', y, ' t = ', truth) if truth == 1 and y == 0: return False elif truth == 0 and y == 1: return False return True n = int(eval(input())) xy = [] for i1 in range(n): ai = int(eval(input())) xy.append([]) for i2 in range(ai): xi,yi = list(map(int, input().split())) xy[i1].append((xi, yi)) #print(xy) result = 0 for k in reversed(list(range(1 << n))): #print(bin(k)) if dudge(k): #print(' True') l = [i for i in range(n) if (k >> i) % 2 == 1] cnt = 0 #for i in range(n): # if (k >> i) % 2 == 1: cnt += 1 #print(' ', l, len(l)) result = max(result, len(l)) #result = max(result, cnt) print(result)
p02837
def dudge(k): for i in reversed(list(range(n))): p = (k >> i) % 2 #print(' i = ', i, ' p = ', p) if p == 0: continue for claim in xy[i]: x = claim[0] y = claim[1] truth = (k >> x-1) % 2 #print(' x = ', x, ' y = ', y, ' t = ', truth) if truth == 1 and y == 0: return False elif truth == 0 and y == 1: return False return True n = int(eval(input())) xy = [] for i1 in range(n): ai = int(eval(input())) xy.append([]) for i2 in range(ai): xi,yi = list(map(int, input().split())) xy[i1].append((xi, yi)) #print(xy) result = 0 for k in reversed(list(range(1 << n))): #print(bin(k)) if dudge(k): #print(' True') l = [i for i in range(n) if (k >> i) % 2 == 1] cnt = 0 #for i in range(n): # if (k >> i) % 2 == 1: cnt += 1 #print(' ', l, len(l)) result = max(result, len(l)) #result = max(result, cnt) print(result)
def dudge(k): for i in range(n): p = (k >> i) % 2 if p == 0: continue for claim in xy[i]: x = claim[0] y = claim[1] truth = (k >> x-1) % 2 if truth == 1 and y == 0: return False elif truth == 0 and y == 1: return False return True n = int(eval(input())) xy = [] for i1 in range(n): ai = int(eval(input())) xy.append([]) for i2 in range(ai): xi,yi = list(map(int, input().split())) xy[i1].append((xi, yi)) result = 0 for k in range(1 << n): if dudge(k): l = [i for i in range(n) if (k >> i) % 2 == 1] cnt = 0 result = max(result, len(l)) print(result)
p02837
n = int(eval(input())) testimony = [] # 各iの証言 for i in range(n): t = [] for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) t.append((x - 1, y)) testimony.append(t) best = 0 # 正直者の最大人数 for honest in range(1 << n): # 正直者をあらかじめ仮定して破綻を確認する tmp = 0 for i in range(n): # 証言者i if not (honest >> i) & 1: # iが不親切な人なら証言を聞かない continue tmp += 1 for j, t in testimony[i]: # iによるjに対する証言t if (honest >> j) & 1 ^ t: # jに対する仮定とtが食い違えば破綻 break else: continue break else: # 全ての正直者に話を聞いて破綻が無ければ更新 best = max(best, tmp) print(best)
n = int(eval(input())) testimony = [] # 各iの証言 for i in range(n): t = [] for _ in range(int(eval(input()))): x, y = list(map(int, input().split())) t.append((x - 1, y)) testimony.append(t) best = 0 # 正直者の最大人数 for honest in range(1 << n): # 正直者をあらかじめ仮定して破綻を確認する for i in range(n): # 証言者i if not (honest >> i) & 1: # iが不親切な人なら証言を聞かない continue for j, t in testimony[i]: # iによるjに対する証言t if (honest >> j) & 1 != t: # jに対する仮定とtが食い違えば破綻 break else: continue break else: # 全ての正直者に話を聞いて破綻が無ければ更新 best = max(best, bin(honest).count('1')) print(best)
p02837
# -*- coding: utf-8 -*- import sys import math import os import itertools import string import heapq import _collections from collections import Counter from collections import defaultdict from functools import lru_cache import bisect import re import queue class Scanner(): @staticmethod def int(): return int(sys.stdin.readline().rstrip()) @staticmethod def string(): return sys.stdin.readline().rstrip() @staticmethod def map_int(): return [int(x) for x in Scanner.string().split()] @staticmethod def string_list(n): return [eval(input()) for i in range(n)] @staticmethod def int_list_list(n): return [Scanner.map_int() for i in range(n)] @staticmethod def int_cols_list(n): return [int(eval(input())) for i in range(n)] class Math(): @staticmethod def gcd(a, b): if b == 0: return a return Math.gcd(b, a % b) @staticmethod def lcm(a, b): return (a * b) // Math.gcd(a, b) @staticmethod def roundUp(a, b): return -(-a // b) @staticmethod def toUpperMultiple(a, x): return Math.roundUp(a, x) * x @staticmethod def toLowerMultiple(a, x): return (a // x) * x @staticmethod def nearPow2(n): if n <= 0: return 0 if n & (n - 1) == 0: return n ret = 1 while(n > 0): ret <<= 1 n >>= 1 return ret @staticmethod def sign(n): if n == 0: return 0 if n < 0: return -1 return 1 @staticmethod def isPrime(n): if n < 2: return False if n == 2: return True if n % 2 == 0: return False d = int(n ** 0.5) + 1 for i in range(3, d + 1, 2): if n % i == 0: return False return True class PriorityQueue: def __init__(self, l=[]): self.__q = l heapq.heapify(self.__q) return def push(self, n): heapq.heappush(self.__q, n) return def pop(self): return heapq.heappop(self.__q) MOD = int(1e09) + 7 INF = int(1e15) def calc(N): return sum(int(x) for x in str(N)) def main(): # sys.stdin = open("sample.txt") N = Scanner.int() G = [[-1 for _ in range(N)] for _ in range(N)] for i in range(N): a = Scanner.int() for _ in range(a): x, y = Scanner.map_int() x -= 1 G[i][x] = y ans = 0 for i in range(1 << N): V = [0 for _ in range(N)] for j in range(N): if (i >> j) & 1: V[j] = 1 isOk = True for j in range(N): for k in range(N): if V[k] == 0: continue if G[k][j] == -1: continue if G[k][j] != V[j]: isOk = False if isOk: ans = max(ans, V.count(1)) print(ans) return if __name__ == "__main__": main()
# -*- coding: utf-8 -*- import sys import math import os import itertools import string import heapq import _collections from collections import Counter from collections import defaultdict from functools import lru_cache import bisect import re import queue class Scanner(): @staticmethod def int(): return int(sys.stdin.readline().rstrip()) @staticmethod def string(): return sys.stdin.readline().rstrip() @staticmethod def map_int(): return [int(x) for x in Scanner.string().split()] @staticmethod def string_list(n): return [eval(input()) for i in range(n)] @staticmethod def int_list_list(n): return [Scanner.map_int() for i in range(n)] @staticmethod def int_cols_list(n): return [int(eval(input())) for i in range(n)] class Math(): @staticmethod def gcd(a, b): if b == 0: return a return Math.gcd(b, a % b) @staticmethod def lcm(a, b): return (a * b) // Math.gcd(a, b) @staticmethod def roundUp(a, b): return -(-a // b) @staticmethod def toUpperMultiple(a, x): return Math.roundUp(a, x) * x @staticmethod def toLowerMultiple(a, x): return (a // x) * x @staticmethod def nearPow2(n): if n <= 0: return 0 if n & (n - 1) == 0: return n ret = 1 while(n > 0): ret <<= 1 n >>= 1 return ret @staticmethod def sign(n): if n == 0: return 0 if n < 0: return -1 return 1 @staticmethod def isPrime(n): if n < 2: return False if n == 2: return True if n % 2 == 0: return False d = int(n ** 0.5) + 1 for i in range(3, d + 1, 2): if n % i == 0: return False return True class PriorityQueue: def __init__(self, l=[]): self.__q = l heapq.heapify(self.__q) return def push(self, n): heapq.heappush(self.__q, n) return def pop(self): return heapq.heappop(self.__q) sys.setrecursionlimit(1000000) MOD = int(1e09) + 7 INF = int(1e30) def main(): # sys.stdin = open("Sample.txt") N = Scanner.int() A = [[-1 for _ in range(N)]for _ in range(N)] for i in range(N): a = Scanner.int() for _ in range(a): x, y = Scanner.map_int() x -= 1 A[i][x] = y ans = 0 for i in range(1 << N): v = [0] * N for j in range(N): v[j] = (i >> j) & 1 isOK = True for j in range(N): for k in range(N): if v[k] == 0: continue if A[k][j] == -1: continue if A[k][j] != v[j]: isOK = False if isOK: ans = max(ans, v.count(1)) print(ans) return if __name__ == "__main__": main()
p02837
def main(): N = int(eval(input())) G = [[] for _ in range(N)] for i in range(N): a = int(eval(input())) for j in range(a): x, y = (int(i) for i in input().split()) G[i].append((x-1, y)) # 人iは人xのことをyと言っている ans = 0 for bit in range(1 << N): cur = 0 good = True # 矛盾がない for i in range(N): if bit & (1 << i): # 人iは正直者 cur += 1 for j, y in G[i]: if (bit & (1 << j)) and y == 1: continue elif not(bit & (1 << j)) and y == 0: continue elif (bit & (1 << j)) and y == 0: good = False break elif not(bit & (1 << j)) and y == 1: good = False break else: # 人iはうそつき for j, y in G[i]: if (bit & (1 << j)) and y == 0: continue elif not(bit & (1 << j)) and y == 1: continue elif (bit & (1 << j)) and y == 0: good = False break elif not(bit & (1 << j)) and y == 1: good = False break # print(bit, ":", good) if good: ans = max(ans, cur) print(ans) if __name__ == '__main__': main()
def main(): N = int(eval(input())) G = [[] for _ in range(N)] for i in range(N): a = int(eval(input())) for j in range(a): x, y = (int(i) for i in input().split()) G[i].append((x-1, y)) # 人iは人xのことをyと言っている ans = 0 for bit in range(1 << N): cur = 0 good = True # 矛盾がない for i in range(N): if bit & (1 << i): # 人iは正直者 cur += 1 for j, y in G[i]: if (bit & (1 << j)) and y == 0: good = False elif not(bit & (1 << j)) and y == 1: good = False # print(bit, ":", good) if good: ans = max(ans, cur) print(ans) if __name__ == '__main__': main()
p02837
n = int(eval(input())) l = [[] for _ in range(n)] for i in range(n): a = int(eval(input())) for j in range(a): x,y = list(map(int,(input().split()))) l[i].append([x-1,y]) ans = 0 for i in range(1 << n): h = [] for j in range(n): h.append(i & 1 << j != 0) b = True for j in range(n): if i & (1 << j) != 0: for k in l[j]: if (k[1] == 1) != h[k[0]]: b = False break if not b: break if b: x = 0 for j in range(n): if i & 1 << j: x += 1 ans = max(ans,x) print(ans)
n = int(eval(input())) l = [[] for _ in range(n)] for i in range(n): a = int(eval(input())) for j in range(a): x,y = list(map(int,(input().split()))) l[i].append([x-1,y]) ans = 0 for i in range(1 << n): h = [] for j in range(n): h.append(i & 1 << j != 0) b = True for j in range(n): if i & 1 << j: for k in l[j]: if (k[1] == 1) != h[k[0]]: b = False break if not b: break if b: ans = max(ans,h.count(True)) print(ans)
p02837
def digitSum(n): s = str(bin(n)) s = s[2:] array = list(map(int, s)) return sum(array) N = int(eval(input())) A = [] X = [] Y = [] res = 0 for i in range(N): a = int(eval(input())) A.append(a) X_temp = [] Y_temp = [] for j in range(a): x,y = list(map(int,input().split())) X_temp.append(x) Y_temp.append(y) X.append(X_temp) Y.append(Y_temp) for bit in range(1 << N): for i in range(1 << N): judge = True for j in range(N): if (i >> j) & 1:#もしAjが正直者だったら for k in range(A[j]): if (i >> X[j][k]-1) & 1 != Y[j][k]: judge = False else: for k in range(A[j]): if (i >> X[j][k]-1) & 1 == Y[j][k]: judge = False if judge: res = max(res,digitSum(i)) print(res)
def digitSum(n): s = str(bin(n)) s = s[2:] array = list(map(int, s)) return sum(array) N = int(eval(input())) A = [] X = [] Y = [] res = 0 for i in range(N): a = int(eval(input())) A.append(a) X_temp = [] Y_temp = [] for j in range(a): x,y = list(map(int,input().split())) X_temp.append(x) Y_temp.append(y) X.append(X_temp) Y.append(Y_temp) for i in range(1 << N): judge = True for j in range(N): if (i >> j) & 1:#もしAjが正直者だったら for k in range(A[j]): if (i >> X[j][k]-1) & 1 != Y[j][k]: judge = False """else:#もしAjが不親切ものだったら。不親切者も正しいことをいうこともある。 for k in range(A[j]):# if (i >> X[j][k]-1) & 1 == Y[j][k]: judge = False""" if judge: res = max(res,digitSum(i)) print(res)
p02837
N = int(eval(input())) s = [[] for _ in range(N)] for i in range(N): A = int(eval(input())) for _ in range(A): x, y = list(map(int, input().split())) s[i].append((x - 1, y)) result = 0 for i in range(1, 2 ** N): consistent = True for j in range(N): if (i >> j) & 1 == 0: continue for x, y in s[j]: if (i >> x) & 1 != y: consistent = False break if consistent: result = max(result, bin(i)[2:].count('1')) print(result)
N = int(eval(input())) evidences = [[] for _ in range(N)] for i in range(N): A = int(eval(input())) for _ in range(A): x, y = list(map(int, input().split())) evidences[i].append((x - 1, y)) result = 0 for i in range(1, 2 ** N): consistent = True for j in range(N): if (i >> j) & 1 == 0: continue for x, y in evidences[j]: if (i >> x) & 1 != y: consistent = False break if not consistent: break if consistent: result = max(result, bin(i)[2:].count('1')) print(result)
p02837
n = int(eval(input())) a_list = [] person_list = [] syogen_list = [] ans = 0 for i in range(0, n): w = [] v = [] a = int(eval(input())) for j in range(0, a): x,y = list(map(int,input().split())) w.append(x) v.append(y) person_list.append(w) syogen_list.append(v) #print(person_list) #print(syogen_list) for bit in range(1 << n): break_flag = 0 bit_1_cnt = 0 for i in range(n): if break_flag: break if (bit >> i) & 1: #人iが正直 for j in range(len(syogen_list[i])): if syogen_list[i][j] != ((bit>>(person_list[i][j]-1))&1): #矛盾 : 正直としているのに証言が食い違えばbreak break_flag = 1 break bit_1_cnt += 1 # if j == len(syogen_list[i])-1: # bit_1_cnt += 1 if break_flag==0 and i==n-1: ans = max(ans, bit_1_cnt) #ans = max(ans, bin(bit).count("1")) print(ans)
n = int(eval(input())) a_list = [] person_list = [] syogen_list = [] ans = 0 for i in range(0, n): w = [] v = [] a = int(eval(input())) for j in range(0, a): x,y = list(map(int,input().split())) w.append(x) v.append(y) person_list.append(w) syogen_list.append(v) #print(person_list) #print(syogen_list) for bit in range(1 << n): break_flag = 0 bit_1_cnt = 0 for i in range(n): if break_flag: break if (bit >> i) & 1: #人iが正直 for j in range(len(syogen_list[i])): if syogen_list[i][j] != ((bit>>(person_list[i][j]-1))&1): #矛盾 : 正直としているのに証言が食い違えばbreak break_flag = 1 break bit_1_cnt += 1 if break_flag==0 and i==n-1: ans = max(ans, bit_1_cnt) print(ans)
p02837
from itertools import product n = int(eval(input())) xy = [[] for i in range(n)] for i in range(n): for j in range(int(eval(input()))): xy[i].append(list(map(int, input().split()))) ans = 0 for bit in product([0, 1], repeat=n): f = 0 for i, j in enumerate(bit): if j == 1: for x, y in xy[i]: if bit[x - 1] != y: f = 1 break if f == 0: ans = max(ans, sum(bit)) print(ans)
from itertools import product def solve(bit): for i, j in enumerate(bit): if j == 1: for x, y in xy[i]: if bit[x - 1] != y: return 0 return sum(bit) n = int(eval(input())) xy = [[] for i in range(n)] for i in range(n): for j in range(int(eval(input()))): xy[i].append(list(map(int, input().split()))) ans = 0 for bit in product([0, 1], repeat=n): ans = max(ans, solve(bit)) print(ans)
p02837
n = int(eval(input())) xys = [[] for _ in range(n)] for i in range(n): a = int(eval(input())) for j in range(a): x, y = list(map(int, input().split())) xys[i].append((x-1, y)) def digitsum(x, base=2): ret = 0 while x>0: ret += x % base x = x // base return(ret) ans = 0 for i in range(1<<n): ok = True for j in range(i): # if jth person may be honest, verify testimony of him. if (i>>j) & 1 == 1: for xy in xys[j]: x, y = xy if (i>>x) & 1 != y: ok = False break if not ok: break if ok: ans = max(ans, digitsum(i)) print(ans)
n = int(eval(input())) xys = [[] for _ in range(n)] for i in range(n): a = int(eval(input())) for j in range(a): x, y = list(map(int, input().split())) xys[i].append((x-1, y)) def digitsum(x, base=2): ret = 0 while x>0: ret += x % base x = x // base return ret ans = 0 for i in range(1<<n): ok = True for j in range(n): # if jth person may be honest, verify testimony of him. if (i>>j) & 1 == 1: for xy in xys[j]: x, y = xy if (i>>x) & 1 != y: ok = False break if not ok: break if ok: ans = max(ans, digitsum(i)) print(ans)
p02837
N = int(eval(input())) A = [0] * N X = [[] for _ in range(N)] for i in range(N): A[i] = int(eval(input())) for j in range(A[i]): X[i].append(list(map(int, input().split()))) Truth = 2 ** N ans = 0 while(bin(Truth) != bin(2 ** (N + 1))): for i in range(N): if(bin(Truth)[i+3] == "1"): for j in range(A[i]): if(int(bin(Truth)[X[i][j][0] + 2]) != X[i][j][1]): break else: continue Truth += 1 break else: ans = sum(list(map(int,list(bin(Truth)[3:])))) Truth += 1 print(ans)
N = int(eval(input())) x = [[0] * (N-1) for _ in range(N)] y = [[0] * (N-1) for _ in range(N)] A = [0] * N for i in range(N): A[i] = int(eval(input())) for j in range(A[i]): x[i][j], y[i][j] = list(map(int, input().split())) n = 2 ** N Flag = 0 ans = 0 while(n < 2 ** (N+1)): Flag = 0 for i in range(N): if(int(bin(n)[i + 3]) == 1): for j in range(A[i]): if(y[i][j] != int(bin(n)[x[i][j] + 2])): Flag = 1 break if(Flag == 1): break else: ans = max(ans, sum(list(map(int,bin(n)[3:])))) n += 1 print(ans)
p02837
N = int(eval(input())) M = [] for _ in range(N): A = int(eval(input())) state = [] for _ in range(A): x, y = list(map(int, input().split())) x -= 1 state.append((x, y)) M.append(state) ans = 0 for mask in range(1 << N): can = True for i, s in enumerate(M): if (mask & (1 << i)) != 0: for x, y in s: v = 1 if (mask & (1 << x)) != 0 else 0 if v != y: can = False break if can: cnt = 0 for i in range(N): if (mask & (1 << i)) != 0: cnt += 1 ans = max(ans, cnt) print(ans)
N = int(eval(input())) S = [] for _ in range(N): A = int(eval(input())) S.append([tuple(map(int, input().split())) for _ in range(A)]) def sol(state): for i, A in enumerate(S): if (state & (1 << i)) == 0: continue for j, s in A: if ((state & (1 << (j - 1))) != 0) != (s != 0): return 0 return sum(map(int, bin(state)[2:])) ans = 0 for state in range(1 << N): ans = max(ans, sol(state)) print(ans)
p02837