結果
問題 | No.2214 Products on Tree |
ユーザー | Shirotsume |
提出日時 | 2022-11-25 10:23:17 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 1,542 ms / 3,000 ms |
コード長 | 3,520 bytes |
コンパイル時間 | 304 ms |
コンパイル使用メモリ | 82,408 KB |
実行使用メモリ | 443,172 KB |
最終ジャッジ日時 | 2024-04-16 13:38:08 |
合計ジャッジ時間 | 29,518 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 40 ms
55,040 KB |
testcase_01 | AC | 42 ms
55,168 KB |
testcase_02 | AC | 196 ms
76,800 KB |
testcase_03 | AC | 997 ms
158,092 KB |
testcase_04 | AC | 1,027 ms
158,456 KB |
testcase_05 | AC | 974 ms
151,396 KB |
testcase_06 | AC | 684 ms
127,916 KB |
testcase_07 | AC | 255 ms
91,776 KB |
testcase_08 | AC | 208 ms
86,912 KB |
testcase_09 | AC | 317 ms
98,720 KB |
testcase_10 | AC | 654 ms
127,568 KB |
testcase_11 | AC | 389 ms
104,064 KB |
testcase_12 | AC | 447 ms
108,420 KB |
testcase_13 | AC | 1,094 ms
162,224 KB |
testcase_14 | AC | 1,041 ms
160,400 KB |
testcase_15 | AC | 1,048 ms
161,600 KB |
testcase_16 | AC | 1,060 ms
159,200 KB |
testcase_17 | AC | 1,025 ms
158,248 KB |
testcase_18 | AC | 758 ms
133,980 KB |
testcase_19 | AC | 843 ms
140,496 KB |
testcase_20 | AC | 750 ms
134,140 KB |
testcase_21 | AC | 579 ms
121,216 KB |
testcase_22 | AC | 1,036 ms
157,412 KB |
testcase_23 | AC | 44 ms
56,012 KB |
testcase_24 | AC | 43 ms
56,264 KB |
testcase_25 | AC | 42 ms
56,440 KB |
testcase_26 | AC | 43 ms
56,668 KB |
testcase_27 | AC | 41 ms
56,032 KB |
testcase_28 | AC | 1,070 ms
324,972 KB |
testcase_29 | AC | 311 ms
97,840 KB |
testcase_30 | AC | 766 ms
165,632 KB |
testcase_31 | AC | 1,081 ms
165,444 KB |
testcase_32 | AC | 1,102 ms
163,472 KB |
testcase_33 | AC | 1,542 ms
442,416 KB |
testcase_34 | AC | 1,496 ms
443,172 KB |
testcase_35 | AC | 1,533 ms
305,704 KB |
testcase_36 | AC | 1,510 ms
305,444 KB |
testcase_37 | AC | 793 ms
157,468 KB |
ソースコード
import sys from collections import deque, Counter sys.setrecursionlimit(5 * 10 ** 5) from pypyjit import set_param set_param('max_unroll_recursion=-1') input = lambda: sys.stdin.readline().rstrip() ii = lambda: int(input()) mi = lambda: map(int, input().split()) li = lambda: list(mi()) inf = 2 ** 63 - 1 mod = 998244353 def solve(n, AB): dp = [[0] * 2 for _ in range(n)] s = set() graph = [[] for _ in range(n)] for a, b in AB: graph[a - 1].append(b - 1) graph[b - 1].append(a - 1) s.add(0) def dfs(now): dp[now][0] = dp[now][1] = 1 des = [] for to in graph[now]: if to not in s: des.append(to) s.add(to) dfs(to) for to in des: dp[now][0] *= (dp[to][0] + dp[to][1]) dp[now][0] %= mod P = dp[now][0] dp[now][1] = P for to in des: P *= pow(dp[to][0] + dp[to][1], mod - 2, mod) P %= mod P *= dp[to][1] P %= mod dp[now][1] += P dp[now][1] %= mod P *= pow(dp[to][1], mod - 2, mod) P %= mod P *= (dp[to][0] + dp[to][1]) P %= mod dfs(0) return dp[0][1] class dsu(): n=1 parent_or_size=[-1 for i in range(n)] def __init__(self,N): self.n=N self.num = N self.parent_or_size=[-1 for i in range(N)] def merge(self,a,b): assert 0<=a<self.n, "0<=a<n,a={0},n={1}".format(a,self.n) assert 0<=b<self.n, "0<=b<n,b={0},n={1}".format(b,self.n) x=self.leader(a) y=self.leader(b) if x==y: return x self.num -= 1 if (-self.parent_or_size[x]<-self.parent_or_size[y]): x,y=y,x self.parent_or_size[x]+=self.parent_or_size[y] self.parent_or_size[y]=x return x def same(self,a,b): assert 0<=a<self.n, "0<=a<n,a={0},n={1}".format(a,self.n) assert 0<=b<self.n, "0<=b<n,b={0},n={1}".format(b,self.n) return self.leader(a)==self.leader(b) def leader(self,a): assert 0<=a<self.n, "0<=a<n,a={0},n={1}".format(a,self.n) if (self.parent_or_size[a]<0): return a self.parent_or_size[a]=self.leader(self.parent_or_size[a]) return self.parent_or_size[a] def size(self,a): assert 0<=a<self.n, "0<=a<n,a={0},n={1}".format(a,self.n) return -self.parent_or_size[self.leader(a)] def groups(self): leader_buf=[0 for i in range(self.n)] group_size=[0 for i in range(self.n)] for i in range(self.n): leader_buf[i]=self.leader(i) group_size[leader_buf[i]]+=1 result=[[] for i in range(self.n)] for i in range(self.n): result[leader_buf[i]].append(i) result2=[] for i in range(self.n): if len(result[i])>0: result2.append(result[i]) return result2 def count(self): return self.num def solve_gu(n, AB): ans = 0 for bit in range(1 << (n - 1)): U = dsu(n) for i in range(n - 1): if 1 & (bit >> i): a, b = AB[i] U.merge(a - 1, b - 1) cnt = 1 for v in U.groups(): cnt *= len(v) cnt %= mod ans += cnt ans %= mod return ans n = ii() AB = [li() for _ in range(n - 1)] if n < 21: print(solve_gu(n, AB)) else: print(solve(n, AB))