結果

問題 No.1607 Kth Maximum Card
ユーザー あかしあみどりあかしあみどり
提出日時 2023-02-20 21:55:16
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 6,266 bytes
コンパイル時間 1,326 ms
コンパイル使用メモリ 86,836 KB
実行使用メモリ 431,876 KB
最終ジャッジ日時 2023-09-28 17:26:38
合計ジャッジ時間 9,798 ms
ジャッジサーバーID
(参考情報)
judge11 / judge13
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 184 ms
82,360 KB
testcase_01 AC 172 ms
77,744 KB
testcase_02 AC 171 ms
77,872 KB
testcase_03 AC 172 ms
77,896 KB
testcase_04 TLE -
testcase_05 -- -
testcase_06 -- -
testcase_07 -- -
testcase_08 -- -
testcase_09 -- -
testcase_10 -- -
testcase_11 -- -
testcase_12 -- -
testcase_13 -- -
testcase_14 -- -
testcase_15 -- -
testcase_16 -- -
testcase_17 -- -
testcase_18 -- -
testcase_19 -- -
testcase_20 -- -
testcase_21 -- -
testcase_22 -- -
testcase_23 -- -
testcase_24 -- -
testcase_25 -- -
testcase_26 -- -
testcase_27 -- -
testcase_28 -- -
testcase_29 -- -
testcase_30 -- -
testcase_31 -- -
testcase_32 -- -
testcase_33 -- -
testcase_34 -- -
testcase_35 -- -
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ソースコード

diff #

def oi(): return int(input())
def os(): return input()
def mi(): return list(map(int, input().split()))

# import sys
# input = sys.stdin.readline
# import sys
# sys.setrecursionlimit(10**8)
# import pypyjit
# pypyjit.set_param('max_unroll_recursion=-1')
input_count = 0

input_count = 0
N,M,K = mi()
NODE = N
LOOP_NUM = M
maps = {i:[] for i in range(NODE)}
cost_dict = {}
for i in range(LOOP_NUM):
    a,b,c = mi()
    maps[a-1].append((b-1, c))
    maps[b-1].append((a-1,c))
    cost_dict[(a-1,b-1)] = c
    cost_dict[(b-1,a-1)] = c
# K 未満の時
from collections import deque
reached = [0] * N ## 1つ前のノードを持たせると微妙に遅くなるのでやめよう
deq = deque([[0,0]])
mins = float("inf")
while deq:
    node, count = deq.pop() #BFS

    if node == N-1:
        if count < K :
            mins = 0
            break

    reached[node] = -1

    for next_node, cost in maps[node]:
        # 訪問済み判定
        if reached[next_node] == -1:
            continue
        
        if count+1 <= K:
            mins = min(mins, cost)
        reached[next_node] = -1
        deq.append([next_node, count+1])
# https://github.com/tatyam-prime/SortedSet/blob/main/SortedMultiset.py
import math
from bisect import bisect_left, bisect_right, insort
from typing import Generic, Iterable, Iterator, TypeVar, Union, List
T = TypeVar('T')

class SortedMultiset(Generic[T]):
    BUCKET_RATIO = 50
    REBUILD_RATIO = 170

    def _build(self, a=None) -> None:
        "Evenly divide `a` into buckets."
        if a is None: a = list(self)
        size = self.size = len(a)
        bucket_size = int(math.ceil(math.sqrt(size / self.BUCKET_RATIO)))
        self.a = [a[size * i // bucket_size : size * (i + 1) // bucket_size] for i in range(bucket_size)]
    
    def __init__(self, a: Iterable[T] = []) -> None:
        "Make a new SortedMultiset from iterable. / O(N) if sorted / O(N log N)"
        a = list(a)
        if not all(a[i] <= a[i + 1] for i in range(len(a) - 1)):
            a = sorted(a)
        self._build(a)

    def __iter__(self) -> Iterator[T]:
        for i in self.a:
            for j in i: yield j

    def __reversed__(self) -> Iterator[T]:
        for i in reversed(self.a):
            for j in reversed(i): yield j
    
    def __len__(self) -> int:
        return self.size
    
    def __repr__(self) -> str:
        return "SortedMultiset" + str(self.a)
    
    def __str__(self) -> str:
        s = str(list(self))
        return "{" + s[1 : len(s) - 1] + "}"

    def _find_bucket(self, x: T) -> List[T]:
        "Find the bucket which should contain x. self must not be empty."
        for a in self.a:
            if x <= a[-1]: return a
        return a

    def __contains__(self, x: T) -> bool:
        if self.size == 0: return False
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        return i != len(a) and a[i] == x

    def count(self, x: T) -> int:
        "Count the number of x."
        return self.index_right(x) - self.index(x)

    def add(self, x: T) -> None:
        "Add an element. / O(√N)"
        if self.size == 0:
            self.a = [[x]]
            self.size = 1
            return
        a = self._find_bucket(x)
        insort(a, x)
        self.size += 1
        if len(a) > len(self.a) * self.REBUILD_RATIO:
            self._build()

    def discard(self, x: T) -> bool:
        "Remove an element and return True if removed. / O(√N)"
        if self.size == 0: return False
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        if i == len(a) or a[i] != x: return False
        a.pop(i)
        self.size -= 1
        if len(a) == 0: self._build()
        return True

    def lt(self, x: T) -> Union[T, None]:
        "Find the largest element < x, or None if it doesn't exist."
        for a in reversed(self.a):
            if a[0] < x:
                return a[bisect_left(a, x) - 1]

    def le(self, x: T) -> Union[T, None]:
        "Find the largest element <= x, or None if it doesn't exist."
        for a in reversed(self.a):
            if a[0] <= x:
                return a[bisect_right(a, x) - 1]

    def gt(self, x: T) -> Union[T, None]:
        "Find the smallest element > x, or None if it doesn't exist."
        for a in self.a:
            if a[-1] > x:
                return a[bisect_right(a, x)]

    def ge(self, x: T) -> Union[T, None]:
        "Find the smallest element >= x, or None if it doesn't exist."
        for a in self.a:
            if a[-1] >= x:
                return a[bisect_left(a, x)]
    
    def __getitem__(self, x: int) -> T:
        "Return the x-th element, or IndexError if it doesn't exist."
        if x < 0: x += self.size
        if x < 0: raise IndexError
        for a in self.a:
            if x < len(a): return a[x]
            x -= len(a)
        raise IndexError

    def index(self, x: T) -> int:
        "Count the number of elements < x."
        ans = 0
        for a in self.a:
            if a[-1] >= x:
                return ans + bisect_left(a, x)
            ans += len(a)
        return ans

    def index_right(self, x: T) -> int:
        "Count the number of elements <= x."
        ans = 0
        for a in self.a:
            if a[-1] > x:
                return ans + bisect_right(a, x)
            ans += len(a)
        return ans
if mins != 0:
    # K以上の時
    sets = SortedMultiset([])

    # 帰りがけ
    deq = deque([[-1, 0, True]]) # 一番最後のTrue, Falseで
    while deq:
        old_node, node, preorder = deq.pop()
        
        # 行き
        if preorder:
            # 帰りに寄るようにFalseをpush
            deq.append([old_node, node, False])
            if node == N-1:
                mins = min(sets[-K], mins)
                continue

            for next_node, cost in maps[node]:
                if next_node != old_node:
                    # 新たな探索をpush
                    deq.append([node, next_node, True])
                    sets.add(cost)

                    

        # 帰り
        else:
            if old_node!=-1:
                # ここで帰りがけに行いたい処理を書く
                C = cost_dict[(node,old_node)]
                sets.discard(C)
print(mins)
0