結果

問題 No.1678 Coin Trade (Multiple)
ユーザー aaaaaaaaaa2230aaaaaaaaaa2230
提出日時 2021-12-09 23:06:52
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 4,446 ms / 5,000 ms
コード長 3,781 bytes
コンパイル時間 271 ms
コンパイル使用メモリ 82,036 KB
実行使用メモリ 263,972 KB
最終ジャッジ日時 2024-07-17 16:05:14
合計ジャッジ時間 67,606 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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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 39 ms
53,760 KB
testcase_01 AC 39 ms
53,760 KB
testcase_02 AC 41 ms
53,504 KB
testcase_03 AC 508 ms
101,464 KB
testcase_04 AC 2,108 ms
183,580 KB
testcase_05 AC 951 ms
133,144 KB
testcase_06 AC 722 ms
119,952 KB
testcase_07 AC 1,878 ms
163,416 KB
testcase_08 AC 1,279 ms
138,920 KB
testcase_09 AC 1,035 ms
136,632 KB
testcase_10 AC 403 ms
88,648 KB
testcase_11 AC 1,598 ms
156,336 KB
testcase_12 AC 323 ms
89,976 KB
testcase_13 AC 3,354 ms
242,580 KB
testcase_14 AC 1,080 ms
125,788 KB
testcase_15 AC 1,149 ms
136,920 KB
testcase_16 AC 438 ms
101,972 KB
testcase_17 AC 1,090 ms
137,600 KB
testcase_18 AC 52 ms
62,464 KB
testcase_19 AC 42 ms
53,760 KB
testcase_20 AC 43 ms
54,272 KB
testcase_21 AC 46 ms
60,160 KB
testcase_22 AC 51 ms
61,952 KB
testcase_23 AC 43 ms
53,632 KB
testcase_24 AC 54 ms
63,360 KB
testcase_25 AC 42 ms
53,760 KB
testcase_26 AC 53 ms
62,976 KB
testcase_27 AC 42 ms
54,528 KB
testcase_28 AC 49 ms
62,336 KB
testcase_29 AC 41 ms
53,504 KB
testcase_30 AC 45 ms
59,904 KB
testcase_31 AC 40 ms
53,760 KB
testcase_32 AC 41 ms
53,632 KB
testcase_33 AC 52 ms
62,592 KB
testcase_34 AC 44 ms
54,528 KB
testcase_35 AC 41 ms
53,760 KB
testcase_36 AC 56 ms
65,152 KB
testcase_37 AC 60 ms
66,048 KB
testcase_38 AC 42 ms
54,272 KB
testcase_39 AC 42 ms
54,016 KB
testcase_40 AC 47 ms
60,416 KB
testcase_41 AC 50 ms
62,720 KB
testcase_42 AC 55 ms
64,128 KB
testcase_43 AC 63 ms
67,584 KB
testcase_44 AC 42 ms
54,016 KB
testcase_45 AC 41 ms
53,760 KB
testcase_46 AC 57 ms
65,024 KB
testcase_47 AC 43 ms
54,272 KB
testcase_48 AC 4,215 ms
263,040 KB
testcase_49 AC 4,191 ms
261,952 KB
testcase_50 AC 4,144 ms
263,972 KB
testcase_51 AC 4,156 ms
262,848 KB
testcase_52 AC 4,279 ms
261,692 KB
testcase_53 AC 4,346 ms
263,732 KB
testcase_54 AC 4,194 ms
262,292 KB
testcase_55 AC 4,446 ms
261,888 KB
testcase_56 AC 4,218 ms
262,920 KB
testcase_57 AC 4,195 ms
262,832 KB
testcase_58 AC 2,627 ms
263,116 KB
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 # 

import sys
input = sys.stdin.readline
from heapq import heappush, heappop

class mincostflow:

    class edge:
        def __init__(self, from_, to, cap, flow, cost):
            self.from_ = from_
            self.to = to
            self.cap = cap
            self.flow = flow
            self.cost = cost
    class _edge:
        def __init__(self, to, rev, cap, cost):
            self.to = to
            self.rev = rev
            self.cap = cap
            self.cost = cost

    def __init__(self, n):
        self.n = n
        self.pos = []
        self.g = [[] for i in range(n)]

    def add_edge(self, from_, to, cap, cost):
        m = len(self.pos)
        self.pos.append((from_, len(self.g[from_])))
        self.g[from_].append(self.__class__._edge(to, len(self.g[to]), cap, cost))
        self.g[to].append(self.__class__._edge(from_, len(self.g[from_])-1, 0, -cost))
        return m

    def get_edge(self, i):
        _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, _e.cost)

    def edges(self):
        result = []
        for i in range(len(self.pos)):
            result.append(self.get_edge(i))
        return result

    def slope(self, s, t, flow_limit=10**20, inf=10**20):
        dual = [0]*self.n
        dist = [inf]*self.n
        pv = [-1]*self.n
        pe = [-1]*self.n
        vis = [False]*self.n

        def _dual_ref():
            nonlocal dual, dist, pv, pe, vis
            dist = [inf]*self.n
            pv = [-1]*self.n
            pe = [-1]*self.n
            vis = [False]*self.n

            que = [(0,s)]
            dist[s] = 0
            while que:
                _,v = heappop(que)
                if vis[v]:
                    continue
                vis[v] = True

                if v == t:
                    break
                for i in range(len(self.g[v])):
                    e = self.g[v][i]
                    if vis[e.to] or e.cap == 0:
                        continue
                    cost = e.cost - dual[e.to] + dual[v]
                    if dist[e.to] > dist[v] + cost:
                        dist[e.to] = dist[v] + cost
                        pv[e.to] = v
                        pe[e.to] = i
                        heappush(que, (dist[e.to],e.to))
            if not vis[t]:
                return False

            for v in range(self.n):
                if not vis[v]:
                    continue
                dual[v] -= dist[t] - dist[v]
            return True
        
        flow = 0
        cost = 0
        prev_cost = -1

        result = [(flow, cost)]
        while flow < flow_limit:
            if not _dual_ref():
                break
            c = flow_limit - flow
            v = t
            while v != s:
                c = min(c, self.g[pv[v]][pe[v]].cap)
                v = pv[v]

            v = t
            while v != s:
                e = self.g[pv[v]][pe[v]]
                e.cap -= c
                self.g[v][e.rev].cap += c
                v = pv[v]
            
            d = -dual[s]
            flow += c
            cost += c * d
            if prev_cost == d:
                result.pop()
            result.append((flow, cost))
            prev_cost = cost
        return result

    def flow(self, s, t, flow_limit=10**20):
        return self.slope(s, t, flow_limit)[-1]
    

n,k = map(int,input().split())
g = mincostflow(n)
A = []
M = 10**9
for i in range(n):
    a,m = map(int,input().split())
    A.append(a)
    B = [int(x)-1 for x in input().split()]
    for b in B:
        if A[b] < a:
            g.add_edge(b,i,1,A[b]-a+(i-b)*M)
    
    if i:
        g.add_edge(i-1,i,k,M)

ans = g.flow(0,n-1,k)
print((n-1)*k*M-ans[1])
0