結果

問題 No.1769 Don't Stop the Game
ユーザー vwxyzvwxyz
提出日時 2023-06-07 08:05:28
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,774 ms / 3,000 ms
コード長 7,667 bytes
コンパイル時間 178 ms
コンパイル使用メモリ 82,508 KB
実行使用メモリ 325,704 KB
最終ジャッジ日時 2024-06-09 09:00:41
合計ジャッジ時間 30,056 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
このコードへのチャレンジ
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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 38 ms
56,612 KB
testcase_01 AC 38 ms
55,832 KB
testcase_02 AC 37 ms
56,036 KB
testcase_03 AC 64 ms
70,812 KB
testcase_04 AC 43 ms
57,880 KB
testcase_05 AC 65 ms
73,640 KB
testcase_06 AC 77 ms
77,168 KB
testcase_07 AC 88 ms
77,520 KB
testcase_08 AC 1,100 ms
209,112 KB
testcase_09 AC 900 ms
188,716 KB
testcase_10 AC 1,160 ms
239,036 KB
testcase_11 AC 789 ms
173,864 KB
testcase_12 AC 1,209 ms
219,476 KB
testcase_13 AC 1,210 ms
221,008 KB
testcase_14 AC 1,225 ms
220,500 KB
testcase_15 AC 1,232 ms
230,784 KB
testcase_16 AC 1,354 ms
251,568 KB
testcase_17 AC 1,734 ms
277,292 KB
testcase_18 AC 1,774 ms
282,736 KB
testcase_19 AC 1,753 ms
304,496 KB
testcase_20 AC 1,772 ms
315,976 KB
testcase_21 AC 1,746 ms
299,884 KB
testcase_22 AC 1,723 ms
325,704 KB
testcase_23 AC 1,245 ms
214,404 KB
testcase_24 AC 1,175 ms
219,976 KB
testcase_25 AC 726 ms
303,720 KB
testcase_26 AC 790 ms
325,336 KB
testcase_27 AC 455 ms
173,380 KB
testcase_28 AC 705 ms
224,376 KB
testcase_29 AC 938 ms
285,736 KB
testcase_30 AC 877 ms
272,948 KB
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ソースコード

diff # 

import sys
readline=sys.stdin.readline
from collections import defaultdict

class Graph:
    def __init__(self,V,edges=None,graph=None,directed=False,weighted=False,inf=float("inf")):
        self.V=V
        self.directed=directed
        self.weighted=weighted
        self.inf=inf
        if graph!=None:
            self.graph=graph
            self.edges=[]
            for i in range(self.V):
                if self.weighted:
                    for j,d in self.graph[i]:
                        if self.directed or not self.directed and i<=j:
                            self.edges.append((i,j,d))
                else:
                    for j in self.graph[i]:
                        if self.directed or not self.directed and i<=j:
                            self.edges.append((i,j))
        else:
            self.edges=edges
            self.graph=[[] for i in range(self.V)]
            if weighted:
                for i,j,d in self.edges:
                    self.graph[i].append((j,d))
                    if not self.directed:
                        self.graph[j].append((i,d))
            else:
                for i,j in self.edges:
                    self.graph[i].append(j)
                    if not self.directed:
                        self.graph[j].append(i)
                        
    def SIV_DFS(self,s,bipartite_graph=False,cycle_detection=False,directed_acyclic=False,euler_tour=False,linked_components=False,lowlink=False,parents=False,postorder=False,preorder=False,subtree_size=False,topological_sort=False,unweighted_dist=False,weighted_dist=False):
        seen=[False]*self.V
        finished=[False]*self.V
        if directed_acyclic or cycle_detection or topological_sort:
            dag=True
        if euler_tour:
            et=[]
        if linked_components:
            lc=[]
        if lowlink:
            order=[None]*self.V
            ll=[None]*self.V
            idx=0
        if parents or cycle_detection or lowlink or subtree_size:
            ps=[None]*self.V
        if postorder or topological_sort:
            post=[]
        if preorder:
            pre=[]
        if subtree_size:
            ss=[1]*self.V
        if unweighted_dist or bipartite_graph:
            uwd=[self.inf]*self.V
            uwd[s]=0
        if weighted_dist:
            wd=[self.inf]*self.V
            wd[s]=0
        stack=[(s,0)] if self.weighted else [s]
        while stack:
            if self.weighted:
                x,d=stack.pop()
            else:
                x=stack.pop()
            if not seen[x]:
                seen[x]=True
                stack.append((x,d) if self.weighted else x)
                if euler_tour:
                    et.append(x)
                if linked_components:
                    lc.append(x)
                if lowlink:
                    order[x]=idx
                    ll[x]=idx
                    idx+=1
                if preorder:
                    pre.append(x)
                for y in self.graph[x]:
                    if self.weighted:
                        y,d=y
                    if not seen[y]:
                        stack.append((y,d) if self.weighted else y)
                        if parents or cycle_detection or lowlink or subtree_size:
                            ps[y]=x
                        if unweighted_dist or bipartite_graph:
                            uwd[y]=uwd[x]+1
                        if weighted_dist:
                            wd[y]=wd[x]+d
                    elif not finished[y]:
                        if (directed_acyclic or cycle_detection or topological_sort) and dag:
                            dag=False
                            if cycle_detection:
                                cd=(y,x)
            elif not finished[x]:
                finished[x]=True
                if euler_tour:
                    et.append(~x)
                if lowlink:
                    bl=True
                    for y in self.graph[x]:
                        if self.weighted:
                            y,d=y
                        if ps[x]==y and bl:
                            bl=False
                            continue
                        ll[x]=min(ll[x],order[y])
                    if x!=s:
                        ll[ps[x]]=min(ll[ps[x]],ll[x])
                if postorder or topological_sort:
                    post.append(x)
                if subtree_size:
                    for y in self.graph[x]:
                        if self.weighted:
                            y,d=y
                        if y==ps[x]:
                            continue
                        ss[x]+=ss[y]
        if bipartite_graph:
            bg=[[],[]]
            for tpl in self.edges:
                x,y=tpl[:2] if self.weighted else tpl
                if uwd[x]==self.inf or uwd[y]==self.inf:
                    continue
                if not uwd[x]%2^uwd[y]%2:
                    bg=False
                    break
            else:
                for x in range(self.V):
                    if uwd[x]==self.inf:
                        continue
                    bg[uwd[x]%2].append(x)
        retu=()
        if bipartite_graph:
            retu+=(bg,)
        if cycle_detection:
            if dag:
                cd=[]
            else:
                y,x=cd
                cd=self.Route_Restoration(y,x,ps)
            retu+=(cd,)
        if directed_acyclic:
            retu+=(dag,)
        if euler_tour:
            retu+=(et,)
        if linked_components:
            retu+=(lc,)
        if lowlink:
            retu=(ll,)
        if parents:
            retu+=(ps,)
        if postorder:
            retu+=(post,)
        if preorder:
            retu+=(pre,)
        if subtree_size:
            retu+=(ss,)
        if topological_sort:
            if dag:
                tp_sort=post[::-1]
            else:
                tp_sort=[]
            retu+=(tp_sort,)
        if unweighted_dist:
            retu+=(uwd,)
        if weighted_dist:
            retu+=(wd,)
        if len(retu)==1:
            retu=retu[0]
        return retu

N=int(readline())
edges=[]
for n in range(N-1):
    A,B,C=map(int,readline().split())
    A-=1;B-=1
    edges.append((A,B,C))
G=Graph(N,edges=edges,weighted=True)
parents,post,pre,size=G.SIV_DFS(0,parents=True,postorder=True,preorder=True,subtree_size=True)
xor=[None]*N
xor[0]=0
for x in pre:
    for y,w in G.graph[x]:
        if y==parents[x]:
            continue
        xor[y]=xor[x]^w

dp=[None]*N
cnt=[None]*N
ans=0
for x in post:
    child=[y for y,w in G.graph[x] if y!=parents[x]]
    if child:
        ma=max(len(dp[y]) for y in child)
        for y in child:
            if len(dp[y])==ma:
                dp[x]=dp[y]
                break
        for y in child:
            if dp[x] is dp[y]:
                continue
            for w,c in dp[y].items():
                dp[x][w]+=c
        ma=max(len(cnt[y]) for y in child)
        for y in child:
            if len(cnt[y])==ma:
                cnt[x]=cnt[y]
                break
        for y in child:
            if cnt[x] is cnt[y]:
                continue
            for w,c in cnt[y].items():
                cnt[x][w]+=c
    else:
        dp[x]=defaultdict(int)
        cnt[x]=defaultdict(int)
    ans+=size[x]-1-dp[x][xor[x]]
    if parents[x]!=None:
        ans+=cnt[x][xor[parents[x]]]*(size[x]-dp[x][xor[parents[x]]])
        del cnt[x][xor[parents[x]]]
    else:
        for xr,c in cnt[x].items():
            ans+=c*(size[x]-dp[x][xr])
    if parents[x]!=None and xor[x]!=xor[parents[x]]:
        cnt[x][xor[x]]+=1
    dp[x][xor[x]]=size[x]
print(ans)
0