#753494 (Python3) No.1488 Max Score of the Tree

提出ソース

結果

問題	No.1488 Max Score of the Tree
ユーザー	vwxyz
提出日時	2022-04-12 21:10:57
言語	Python3 (3.12.2 + numpy 1.26.4 + scipy 1.12.0)
結果	TLE
実行時間	-
コード長	7,264 bytes
コンパイル時間	75 ms
コンパイル使用メモリ	11,476 KB
実行使用メモリ	16,112 KB
最終ジャッジ日時	2023-08-23 06:29:28
合計ジャッジ時間	39,386 ms
ジャッジサーバーID （参考情報）	judge12 / judge13

このコードへのチャレンジ
（要ログイン）

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	TLE	-
testcase_01	TLE	-
testcase_02	TLE	-
testcase_03	TLE	-
testcase_04	TLE	-
testcase_05	AC	37 ms 10,908 KB
testcase_06	AC	660 ms 14,272 KB
testcase_07	AC	1,517 ms 15,076 KB
testcase_08	AC	920 ms 15,076 KB
testcase_09	AC	802 ms 12,392 KB
testcase_10	AC	1,411 ms 15,312 KB
testcase_11	TLE	-
testcase_12	AC	51 ms 12,112 KB
testcase_13	AC	437 ms 11,676 KB
testcase_14	AC	1,317 ms 14,692 KB
testcase_15	AC	870 ms 13,756 KB
testcase_16	AC	158 ms 12,768 KB
testcase_17	AC	562 ms 13,368 KB
testcase_18	AC	1,720 ms 14,752 KB
testcase_19	AC	1,032 ms 15,216 KB
testcase_20	AC	424 ms 12,064 KB
testcase_21	AC	223 ms 13,744 KB
testcase_22	AC	786 ms 12,988 KB
testcase_23	AC	37 ms 10,908 KB
testcase_24	AC	36 ms 10,832 KB
testcase_25	AC	37 ms 10,856 KB
testcase_26	AC	561 ms 15,476 KB
testcase_27	AC	120 ms 11,384 KB
testcase_28	AC	269 ms 11,784 KB
testcase_29	AC	406 ms 12,120 KB
testcase_30	AC	1,982 ms 15,720 KB
testcase_31	TLE	-

権限があれば一括ダウンロードができます

ソースコード

raw source code

import bisect
import copy
import decimal
import fractions
import heapq
import itertools
import math
import random
import sys
import time
from collections import Counter,deque,defaultdict
from functools import lru_cache,reduce
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max
def _heappush_max(heap,item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappushpop_max(heap, item):
    if heap and item < heap[0]:
        item, heap[0] = heap[0], item
        heapq._siftup_max(heap, 0)
    return item
from math import gcd as GCD
read=sys.stdin.read
readline=sys.stdin.readline
readlines=sys.stdin.readlines

class Graph:
    def __init__(self,V,edges=False,graph=False,directed=False,weighted=False,inf=float("inf")):
        self.V=V
        self.directed=directed
        self.weighted=weighted
        self.inf=inf
        if graph:
            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,K=map(int,readline().split())
edges=[]
for _ 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,tour=G.SIV_DFS(0,parents=True,postorder=True)
size=[0]*N
for x in range(1,N):
    if len(G.graph[x])==1:
        size[x]=1
for x in tour[:-1]:
    size[parents[x]]+=size[x]
ans=0
inf=1<<60
dp=[-inf]*(K+1)
dp[0]=0
for a,b,c in edges:
    if parents[a]==b:
        a,b=b,a
    w=c*size[b]
    ans+=w
    for k in range(K,c-1,-1):
        dp[k]=max(dp[k],dp[k-c]+w)
ans+=max(dp)
print(ans)

yukicoder

結果

テストケース

ソースコード