#944223 (PyPy3) No.2604 Initial Motion

提出ソース

結果

問題	No.2604 Initial Motion
ユーザー	timi
提出日時	2024-01-14 17:34:21
言語	PyPy3 (7.3.15)
結果	AC
実行時間	881 ms / 3,000 ms
コード長	6,550 bytes
コンパイル時間	266 ms
コンパイル使用メモリ	82,176 KB
実行使用メモリ	82,916 KB
最終ジャッジ日時	2024-09-28 02:03:08
合計ジャッジ時間	19,939 ms
ジャッジサーバーID （参考情報）	judge1 / judge5

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	42 ms 55,040 KB
testcase_01	AC	42 ms 55,296 KB
testcase_02	AC	41 ms 55,424 KB
testcase_03	AC	137 ms 77,708 KB
testcase_04	AC	137 ms 78,164 KB
testcase_05	AC	137 ms 77,580 KB
testcase_06	AC	141 ms 77,656 KB
testcase_07	AC	137 ms 77,764 KB
testcase_08	AC	137 ms 77,760 KB
testcase_09	AC	133 ms 77,656 KB
testcase_10	AC	136 ms 77,752 KB
testcase_11	AC	136 ms 77,700 KB
testcase_12	AC	133 ms 77,516 KB
testcase_13	AC	711 ms 82,384 KB
testcase_14	AC	571 ms 81,264 KB
testcase_15	AC	360 ms 80,644 KB
testcase_16	AC	678 ms 82,612 KB
testcase_17	AC	768 ms 82,604 KB
testcase_18	AC	741 ms 82,716 KB
testcase_19	AC	721 ms 82,400 KB
testcase_20	AC	647 ms 82,308 KB
testcase_21	AC	601 ms 81,272 KB
testcase_22	AC	739 ms 82,916 KB
testcase_23	AC	619 ms 81,788 KB
testcase_24	AC	666 ms 82,180 KB
testcase_25	AC	548 ms 81,464 KB
testcase_26	AC	623 ms 81,928 KB
testcase_27	AC	533 ms 81,144 KB
testcase_28	AC	609 ms 81,796 KB
testcase_29	AC	700 ms 82,548 KB
testcase_30	AC	575 ms 81,588 KB
testcase_31	AC	648 ms 81,820 KB
testcase_32	AC	454 ms 81,324 KB
testcase_33	AC	881 ms 81,624 KB
testcase_34	AC	240 ms 81,652 KB
testcase_35	AC	741 ms 82,824 KB
testcase_36	AC	640 ms 82,308 KB
testcase_37	AC	269 ms 80,332 KB
testcase_38	AC	93 ms 76,664 KB
testcase_39	AC	90 ms 77,076 KB
testcase_40	AC	817 ms 82,168 KB
testcase_41	AC	771 ms 82,588 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

raw source code

from collections import deque  
from sys import stdin
K,N,M=map(int, stdin.readline().split())
A=list(map(int, stdin.readline().split()))
B=list(map(int, stdin.readline().split()))

import heapq
from heapq import heappush, heappop

class MinCostFlow:
    """
    https://github.com/atcoder/ac-library/blob/master/atcoder/internal_csr.hpp
    https://github.com/atcoder/ac-library/blob/master/atcoder/mincostflow.hpp
    https://github.com/atcoder/ac-library/blob/master/document_en/mincostflow.md
    https://github.com/atcoder/ac-library/blob/master/document_ja/mincostflow.md
    """
    def __init__(self, n):
        self.n = n
        self._edges = []

    def add_edge(self, fr, to, cap, cost):
        assert 0 <= fr < self.n
        assert 0 <= to < self.n
        assert 0 <= cap
        assert 0 <= cost
        self._edges.append(self.edge(fr, to, cap, cost))
        return len(self._edges) - 1

    class edge:
        def __init__(self, fr, to, cap, cost):
            self.fr = fr
            self.to = to
            self.cap = cap
            self.flow = 0
            self.cost = cost

    def get_edge(self, i):
        assert 0 <= i < len(self._edges)
        return self._edges[i]

    def edges(self):
        return self._edges

    def flow(self, s, t, flow_limit=1<<60):
        return self.slope(s, t, flow_limit)[-1]

    def __csr(self, edges):
        # Compressed Sparse Row
        self.start = [0] * (self.n + 1)
        for fr, _ in edges:
            self.start[fr + 1] += 1
        for i in range(self.n):
            self.start[i + 1] += self.start[i]
        counter = self.start.copy()
        self.elist = [0] * len(edges)
        for fr, e in edges:
            self.elist[counter[fr]] = e
            counter[fr] += 1

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

    def __g(self):
        degree = [0] * self.n
        redge_idx = [0] * self.m
        elist = [(0, None)] * (2 * self.m)
        now_elist = 0
        for i in range(self.m):
            e = self._edges[i]
            self.edge_idx[i] = degree[e.fr]
            degree[e.fr] += 1
            redge_idx[i] = degree[e.to]
            degree[e.to] += 1
            elist[now_elist] = (e.fr, self._edge(e.to, -1, e.cap - e.flow, e.cost))
            now_elist += 1
            elist[now_elist] = (e.to, self._edge(e.fr, -1, e.flow, -e.cost))
            now_elist += 1
        self.__csr(elist)
        for i in range(self.m):
            e = self._edges[i]
            self.edge_idx[i] += self.start[e.fr]
            redge_idx[i] += self.start[e.to]
            self.elist[self.edge_idx[i]].rev = redge_idx[i]
            self.elist[redge_idx[i]].rev = self.edge_idx[i]

    def slope(self, s, t, flow_limit=1<<60):
        assert 0 <= s < self.n
        assert 0 <= t < self.n
        assert s != t
        self.m = len(self._edges)
        self.edge_idx = [0] * self.m
        self.__g()
        result = self.__slope(s, t, flow_limit)
        for i in range(self.m):
            e = self.elist[self.edge_idx[i]]
            self._edges[i].flow = self._edges[i].cap - e.cap
        return result

    def __dual_ref(self, s, t):
        log = self.n.bit_length()
        mask = (1<<log) - 1
        dist = [1<<60] * self.n
        vis = [0] * self.n
        que_min = []
        que = []
        dist[s] = 0
        que_min.append(s)
        while que_min or que:
            if que_min:
                v = que_min.pop()
            else:
                v = heappop(que) & mask
            if vis[v]:
                continue
            vis[v] = 1
            if v == t:
                break
            # dist[v] = shortest(s, v) + dual[s] - dual[v]
            # dist[v] >= 0 (all reduced cost are positive)
            # dist[v] <= (n-1)C
            dual_v = self.dual[v]
            dist_v = dist[v]
            for i in range(self.start[v], self.start[v+1]):
                e = self.elist[i]
                if not e.cap:
                    continue
                # |-dual[e.to] + dual[v]| <= (n-1)C
                # cost <= C - -(n-1)C + 0 = nC
                cost = e.cost - self.dual[e.to] + dual_v
                if dist[e.to] - dist_v > cost:
                    dist_to = dist_v + cost
                    dist[e.to] = dist_to
                    self.prev_e[e.to] = e.rev
                    if dist_to == dist_v:
                        que_min.append(e.to)
                    else:
                        heappush(que, dist_to<<log | e.to)
        if not vis[t]:
            return False
        for v in range(self.n):
            if not vis[v]:
                continue
            # dual[v]
            # = dual[v] - dist[t] + dist[v]
            # = dual[v] - (shortest(s, t) + dual[s] - dual[t]) + (shortest(s, v) + dual[s] - dual[v])
            # = - shortest(s, t) + dual[t] + shortest(s, v)
            # = shortest(s, v) - shortest(s, t)
            # >= 0 - (n-1)C
            self.dual[v] -= dist[t] - dist[v]
        return True

    def __slope(self, s, t, flow_limit):
        # variants (C = maxcost):
        # -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
        # reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
        self.dual = [0] * self.n
        self.prev_e = [0] * self.n
        flow = 0
        cost = 0
        prev_cost_per_flow = -1
        result = [(0, 0)]
        while flow < flow_limit:
            if not self.__dual_ref(s, t):
                break
            c = flow_limit - flow
            v = t
            while v != s:
                c = min(c, self.elist[self.elist[self.prev_e[v]].rev].cap)
                v = self.elist[self.prev_e[v]].to
            v = t
            while v != s:
                e = self.elist[self.prev_e[v]]
                e.cap += c
                self.elist[e.rev].cap -= c
                v = self.elist[self.prev_e[v]].to
            d = -self.dual[s]
            flow += c
            cost += c * d
            if prev_cost_per_flow == d:
                result.pop()
            result.append((flow, cost))
            prev_cost_per_flow = d
        return result

      
graph =MinCostFlow(N+2)
for i in range(K):
  t=A[i]
  graph.add_edge(0,t,1,0)

for i in range(N):
  t=B[i]
  if t!=0:
    graph.add_edge(i+1,N+1,t,0)
  
for i in range(M):
  u,v,d=map(int, stdin.readline().split())
  graph.add_edge(u,v,10**5,d)
  graph.add_edge(v,u,10**5,d)
  
print(graph.flow(0,N+1,K)[1])

yukicoder

結果

テストケース

ソースコード