結果

問題 No.3201 Corporate Synergy
ユーザー lif4635
提出日時 2025-07-11 21:54:36
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 96 ms / 2,000 ms
コード長 6,769 bytes
コンパイル時間 215 ms
コンパイル使用メモリ 82,596 KB
実行使用メモリ 77,916 KB
最終ジャッジ日時 2025-07-11 21:54:43
合計ジャッジ時間 2,350 ms
ジャッジサーバーID
(参考情報)
judge5 / judge1
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 * 20
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 #

# input
import sys
input = sys.stdin.readline
II = lambda : int(input())
MI = lambda : map(int, input().split())
LI = lambda : [int(a) for a in input().split()]
SI = lambda : input().rstrip()
LLI = lambda n : [[int(a) for a in input().split()] for _ in range(n)]
LSI = lambda n : [input().rstrip() for _ in range(n)]
MI_1 = lambda : map(lambda x:int(x)-1, input().split())
LI_1 = lambda : [int(a)-1 for a in input().split()]

def graph(n:int, m:int, dir:bool=False, index:int=-1) -> list[set[int]]:
    edge = [set() for i in range(n+1+index)]
    for _ in range(m):
        a,b = map(int, input().split())
        a += index
        b += index
        edge[a].add(b)
        if not dir:
            edge[b].add(a)
    return edge

def graph_w(n:int, m:int, dir:bool=False, index:int=-1) -> list[set[tuple]]:
    edge = [set() for i in range(n+1+index)]
    for _ in range(m):
        a,b,c = map(int, input().split())
        a += index
        b += index
        edge[a].add((b,c))
        if not dir:
            edge[b].add((a,c))
    return edge

mod = 998244353
inf = 1001001001001001001
ordalp = lambda s : ord(s)-65 if s.isupper() else ord(s)-97
ordallalp = lambda s : ord(s)-39 if s.isupper() else ord(s)-97
yes = lambda : print("Yes")
no = lambda : print("No")
yn = lambda flag : print("Yes" if flag else "No")
def acc(a:list[int]):
    sa = [0]*(len(a)+1)
    for i in range(len(a)):
        sa[i+1] = a[i] + sa[i]
    return sa

prinf = lambda ans : print(ans if ans < 1000001001001001001 else -1)
alplow = "abcdefghijklmnopqrstuvwxyz"
alpup = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
alpall = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ"
URDL = {'U':(-1,0), 'R':(0,1), 'D':(1,0), 'L':(0,-1)}
DIR_4 = [[-1,0],[0,1],[1,0],[0,-1]]
DIR_8 = [[-1,0],[-1,1],[0,1],[1,1],[1,0],[1,-1],[0,-1],[-1,-1]]
DIR_BISHOP = [[-1,1],[1,1],[1,-1],[-1,-1]]
prime60 = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59]
sys.set_int_max_str_digits(0)
# sys.setrecursionlimit(10**6)
# import pypyjit
# pypyjit.set_param('max_unroll_recursion=-1')

from collections import defaultdict,deque
from heapq import heappop,heappush
from bisect import bisect_left,bisect_right
DD = defaultdict
BSL = bisect_left
BSR = bisect_right


from collections import deque
class mf_graph:
    n=0
    g=[]
    def __init__(self,n_):
        self.n=n_
        self.g=[[] for i in range(self.n)]
        self.pos=[]
    class _edge:
        to=0
        rev=0
        cap=0
        def __init__(self,to_,rev_,cap_):
            self.to=to_
            self.rev=rev_
            self.cap=cap_
    class edge:
        From=0
        To=0
        Cap=0
        Flow=0
        def __init__(self,from_,to_,cap_,flow_):
            self.From=from_
            self.To=to_
            self.Cap=cap_
            self.Flow=flow_
    def add_edge(self,From_,To_,Cap_):
        assert 0<=From_ and From_<self.n
        assert 0<=To_ and To_<self.n
        assert 0<=Cap_
        m=len(self.pos)
        self.pos.append((From_,len(self.g[From_])))
        from_id=len(self.g[From_])
        to_id=len(self.g[To_])
        if (From_==To_):to_id+=1
        self.g[From_].append(self._edge(To_,to_id,Cap_))
        self.g[To_].append(self._edge(From_,from_id,0))
        return m
    def get_edge(self,i):
        m=len(self.pos)
        assert 0<=i and i<m
        _e=self.g[self.pos[i][0]][self.pos[i][1]]
        _re=self.g[_e.to][_e.rev]
        return self.edge(self.pos[i][0],_e.to,_e.cap+_re.cap,_re.cap)
    def edges(self,isdict=True):
        m=len(self.pos)
        result=[]
        for i in range(m):
            if isdict:
                e=self.get_edge(i)
                result.append({"from":e.From,"to":e.To,"cap":e.Cap,"flow":e.Flow})
            else:
                result.append(self.get_edge(i))
        return result
    def change_edge(self,i,new_cap,new_flow):
        m=len(self.pos)
        assert 0<=i and i<m
        assert 0<=new_flow and new_flow<=new_cap
        _e=self.g[pos[i][0]][pos[i][1]]
        _re=self.g[_e.to][_e.rev]
        _e.cap=new_cap-new_flow
        _re.cap=new_flow
        assert id(_e)==id(self.g[self.pos[i][0]][self.pos[i][1]])
        assert id(_re)==id(self.g[_e.to][_e.rev])
    def flow(self,s,t,flow_limit=(1<<63)-1):
        assert 0<=s and s<self.n
        assert 0<=t and t<self.n
        assert s!=t
        level=[0 for i in range(self.n)]
        Iter=[0 for i in range(self.n)]
        que=deque([])
        def bfs():
            for i in range(self.n):
                level[i]=-1
            level[s]=0
            que.clear()
            que.append(s)
            while(que):
                v=que.popleft()
                for e in self.g[v]:
                    if e.cap==0 or level[e.to]>=0:
                        continue
                    level[e.to]=level[v]+1
                    if (e.to==t):
                        return
                    que.append(e.to)
                
        def dfs(v,up):
            if v==s:return up
            res=0
            level_v=level[v]
            for i in range(Iter[v],len(self.g[v])):
                e=self.g[v][i]
                assert id(e)==id(self.g[v][i])
                if level_v<=level[e.to] or self.g[e.to][e.rev].cap==0:
                    continue
                d=dfs(e.to,min(up-res,self.g[e.to][e.rev].cap))
                if d<=0:continue
                self.g[v][i].cap+=d
                self.g[e.to][e.rev].cap-=d
                res+=d
                if (res==up):
                    return res
            level[v]=self.n
            return res
        flow=0
        while(flow<flow_limit):
            bfs()
            if level[t]==-1:
                break
            Iter=[0 for i in range(self.n)]
            f=dfs(t,flow_limit-flow)
            if not(f):
                break
            flow+=f
        return flow
    def min_cut(self,s):
        visited=[False for i in range(self.n)]
        que=deque([s])
        while(que):
            p=que.popleft()
            visited[p]=True
            for e in self.g[p]:
                if e.cap and not(visited[e.to]):
                    visited[e.to]=True
                    que.append(e.to)
        return visited

n = II()
p = LI() # 利益

g = mf_graph(1 + n + 200 + 1)

s = n
t = n + 1
off = n + 2

ans = 0
for i in range(n):
    if p[i] > 0:
        g.add_edge(s, i, p[i])
        g.add_edge(i, t, 0)
        ans += p[i]
    elif p[i] < 0:
        g.add_edge(s, i, 0)
        g.add_edge(i, t, -p[i])

m = II()
for i in range(m):
    u, v = MI_1()
    g.add_edge(v, u, inf)

k = II()
for i in range(k):
    a, b, q = MI()
    a -= 1
    b -= 1
    g.add_edge(s, off + i, q)
    g.add_edge(off + i, a, inf)
    g.add_edge(off + i, b, inf)
    ans += q

flow = g.flow(s, t)

print(ans - flow)

0