結果

問題 No.1288 yuki collection
ユーザー mkawa2mkawa2
提出日時 2023-10-18 21:50:51
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,221 ms / 5,000 ms
コード長 5,417 bytes
コンパイル時間 191 ms
コンパイル使用メモリ 81,456 KB
実行使用メモリ 98,672 KB
最終ジャッジ日時 2023-10-18 21:51:20
合計ジャッジ時間 26,990 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge12
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 AC 66 ms
70,072 KB
testcase_01 AC 64 ms
68,024 KB
testcase_02 AC 70 ms
70,072 KB
testcase_03 AC 100 ms
77,516 KB
testcase_04 AC 66 ms
70,080 KB
testcase_05 AC 65 ms
70,080 KB
testcase_06 AC 74 ms
70,080 KB
testcase_07 AC 68 ms
70,080 KB
testcase_08 AC 132 ms
78,644 KB
testcase_09 AC 113 ms
77,864 KB
testcase_10 AC 145 ms
78,524 KB
testcase_11 AC 103 ms
77,964 KB
testcase_12 AC 129 ms
78,176 KB
testcase_13 AC 884 ms
91,284 KB
testcase_14 AC 943 ms
92,624 KB
testcase_15 AC 726 ms
88,516 KB
testcase_16 AC 767 ms
88,660 KB
testcase_17 AC 983 ms
92,856 KB
testcase_18 AC 999 ms
93,144 KB
testcase_19 AC 910 ms
92,524 KB
testcase_20 AC 1,017 ms
93,892 KB
testcase_21 AC 1,221 ms
96,848 KB
testcase_22 AC 1,207 ms
96,536 KB
testcase_23 AC 1,189 ms
96,964 KB
testcase_24 AC 945 ms
92,840 KB
testcase_25 AC 951 ms
91,764 KB
testcase_26 AC 883 ms
92,520 KB
testcase_27 AC 637 ms
87,624 KB
testcase_28 AC 657 ms
88,416 KB
testcase_29 AC 564 ms
86,596 KB
testcase_30 AC 226 ms
81,352 KB
testcase_31 AC 247 ms
82,092 KB
testcase_32 AC 265 ms
81,996 KB
testcase_33 AC 1,146 ms
98,672 KB
testcase_34 AC 1,213 ms
97,656 KB
testcase_35 AC 1,136 ms
96,224 KB
testcase_36 AC 852 ms
90,484 KB
testcase_37 AC 888 ms
90,512 KB
testcase_38 AC 877 ms
90,592 KB
testcase_39 AC 850 ms
90,588 KB
testcase_40 AC 149 ms
80,336 KB
testcase_41 AC 65 ms
68,076 KB
testcase_42 AC 69 ms
68,076 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

# sys.setrecursionlimit(200005)
# sys.set_int_max_str_digits(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()

dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
inf = -1-(-1 << 31)
# inf = -1-(-1 << 63)
# md = 10**9+7
md = 998244353

from typing import NamedTuple, Optional, List, Tuple, cast
from heapq import heappush, heappop

class MCFGraph:
    class Edge(NamedTuple):
        src: int
        dst: int
        cap: int
        flow: int
        cost: int

    class _Edge:
        def __init__(self, dst: int, cap: int, cost: int) -> None:
            self.dst = dst
            self.cap = cap
            self.cost = cost
            self.rev: Optional[MCFGraph._Edge] = None

    def __init__(self, n: int) -> None:
        self._n = n
        self._g: List[List[MCFGraph._Edge]] = [[] for _ in range(n)]
        self._edges: List[MCFGraph._Edge] = []

    def add_edge(self, src: int, dst: int, cap: int, cost: int) -> int:
        assert 0 <= src < self._n
        assert 0 <= dst < self._n
        assert 0 <= cap
        m = len(self._edges)
        e = MCFGraph._Edge(dst, cap, cost)
        re = MCFGraph._Edge(src, 0, -cost)
        e.rev = re
        re.rev = e
        self._g[src].append(e)
        self._g[dst].append(re)
        self._edges.append(e)
        return m

    def get_edge(self, i: int) -> Edge:
        assert 0 <= i < len(self._edges)
        e = self._edges[i]
        re = cast(MCFGraph._Edge, e.rev)
        return MCFGraph.Edge(
            re.dst,
            e.dst,
            e.cap+re.cap,
            re.cap,
            e.cost
        )

    def edges(self) -> List[Edge]:
        return [self.get_edge(i) for i in range(len(self._edges))]

    def flow(self, s: int, t: int,
             flow_limit: Optional[int] = None) -> Tuple[int, int]:
        return self.slope(s, t, flow_limit)[-1]

    def slope(self, s: int, t: int,
              flow_limit: Optional[int] = None) -> List[Tuple[int, int]]:
        assert 0 <= s < self._n
        assert 0 <= t < self._n
        assert s != t
        if flow_limit is None:
            flow_limit = cast(int, sum(e.cap for e in self._g[s]))

        dual = [0]*self._n
        prev: List[Optional[Tuple[int, MCFGraph._Edge]]] = [None]*self._n

        def refine_dual() -> bool:
            pq = [(0, s)]
            visited = [False]*self._n
            dist: List[Optional[int]] = [None]*self._n
            dist[s] = 0
            while pq:
                dist_v, v = heappop(pq)
                if visited[v]:
                    continue
                visited[v] = True
                if v == t:
                    break
                dual_v = dual[v]
                for e in self._g[v]:
                    w = e.dst
                    if visited[w] or e.cap == 0:
                        continue
                    reduced_cost = e.cost-dual[w]+dual_v
                    new_dist = dist_v+reduced_cost
                    dist_w = dist[w]
                    if dist_w is None or new_dist < dist_w:
                        dist[w] = new_dist
                        prev[w] = v, e
                        heappush(pq, (new_dist, w))
            else:
                return False
            dist_t = dist[t]
            for v in range(self._n):
                if visited[v]:
                    dual[v] -= cast(int, dist_t)-cast(int, dist[v])
            return True

        flow = 0
        cost = 0
        prev_cost_per_flow: Optional[int] = None
        result = [(flow, cost)]
        while flow < flow_limit:
            if not refine_dual():
                break
            f = flow_limit-flow
            v = t
            while prev[v] is not None:
                u, e = cast(Tuple[int, MCFGraph._Edge], prev[v])
                f = min(f, e.cap)
                v = u
            v = t
            while prev[v] is not None:
                u, e = cast(Tuple[int, MCFGraph._Edge], prev[v])
                e.cap -= f
                assert e.rev is not None
                e.rev.cap += f
                v = u
            c = -dual[s]
            flow += f
            cost += f*c
            if c == prev_cost_per_flow:
                result.pop()
            result.append((flow, cost))
            prev_cost_per_flow = c
        return result

base=10**9
n = II()
S = ["yuki".find(c) for c in SI()]
vv = LI()

mf = MCFGraph(n+2)
s = n
t = s+1

ii = [[], [], [], []]
for i in range(n)[::-1]:
    c = S[i]
    if c == 3:
        mf.add_edge(i, t, 1, base-vv[i])
    elif ii[c+1]:
        mf.add_edge(i, ii[c+1][-1], 1, base-vv[i])
    ii[c].append(i)

for c in range(4):
    for i, j in zip(ii[c], ii[c][1:]):
        mf.add_edge(j, i, n, 0)

if ii[0]: mf.add_edge(s, ii[0][-1], n, 0)
mf.add_edge(s, t, n, base*4)

ans = mf.flow(s, t, n//4)
# for e in mf.edges():
#     print(e)
# if e.flow:print(e.src,e.dst,-e.cost)
# print(ans)
print(n//4*base*4-ans[1])
0