結果

問題 No.1911 Alternately Coloring
ユーザー chineristAC
提出日時 2022-01-17 02:19:55
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 2,066 ms / 4,000 ms
コード長 2,472 bytes
コンパイル時間 204 ms
コンパイル使用メモリ 82,324 KB
実行使用メモリ 84,748 KB
最終ジャッジ日時 2024-11-23 13:35:21
合計ジャッジ時間 36,339 ms
ジャッジサーバーID
(参考情報)
judge2 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 29
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

diff #

class Dijkstra():
    class Edge():
        def __init__(self, _to, _cost):
            self.to = _to
            self.cost = _cost

    def __init__(self, V):
        self.G = [[] for i in range(V)]
        self._E = 0
        self._V = V

    @property
    def E(self):
        return self._E

    @property
    def V(self):
        return self._V

    def add_edge(self, _from, _to, _cost):
        self.G[_from].append(self.Edge(_to, _cost))
        self._E += 1

    def shortest_path(self, s):
        import heapq
        que = []
        d = [10**15] * self.V
        d[s] = 0
        heapq.heappush(que, (0, s))

        while len(que) != 0:
            cost, v = heapq.heappop(que)
            if d[v] < cost: continue

            for i in range(len(self.G[v])):
                e = self.G[v][i]
                if d[e.to] > d[v] + e.cost:
                    d[e.to] = d[v] + e.cost
                    heapq.heappush(que, (d[e.to], e.to))
        return d

import sys,random,bisect
from collections import deque,defaultdict
from heapq import heapify,heappop,heappush
from itertools import permutations
from math import log,gcd

input = lambda :sys.stdin.readline()
mi = lambda :map(int,input().split())
li = lambda :list(mi())

def solve(N,M,E,R,B):
    G = Dijkstra(2*N)
    edge = [[] for i in range(N)]
    for u,v in E:    
        u,v = u-1,v-1

        G.add_edge(2*u,2*v+1,max(R[v]-B[v],0))
        G.add_edge(2*u+1,2*v,max(B[v]-R[v],0))
        G.add_edge(2*v,2*u+1,max(R[u]-B[u],0))
        G.add_edge(2*v+1,2*u,max(B[u]-R[u],0))

        edge[u].append(v)
        edge[v].append(u)
    
    color = [-1] * N
    color[0] = 0
    stack = [0]
    flag = True
    while stack:
        v = stack.pop()
        for nv in edge[v]:
            if color[nv]==-1:
                color[nv] = 1 - color[v]
                stack.append(nv)
            else:
                if color[nv] != 1 - color[v]:
                    flag = False
    
    if flag:
        x,y = 0,0
        for i in range(N):
            if color[i]:
                x += R[i]; y += B[i]
            else:
                y += R[i]; x += B[i]
        return max(x,y)
    
    res = sum(max(R[i],B[i]) for i in range(N))
    minus = res

    for i in range(N):
        t0 = G.shortest_path(2*i)[2*i+1]
        t1 = G.shortest_path(2*i+1)[2*i]
        minus = min(minus,t0,t1)

    return res-minus

N,M = mi()
E = [tuple(mi()) for i in range(M)]
R = li()
B = li()
print(solve(N,M,E,R,B))
0