結果

問題 No.2665 Minimize Inversions of Deque
ユーザー Yakumo221Yakumo221
提出日時 2024-03-08 21:49:42
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 7,433 bytes
コンパイル時間 144 ms
コンパイル使用メモリ 81,700 KB
実行使用メモリ 263,516 KB
最終ジャッジ日時 2024-03-08 21:49:47
合計ジャッジ時間 4,205 ms
ジャッジサーバーID
(参考情報)
judge15 / judge12
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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 82 ms
77,168 KB
testcase_01 TLE -
testcase_02 -- -
testcase_03 -- -
testcase_04 -- -
testcase_05 -- -
testcase_06 -- -
testcase_07 -- -
testcase_08 -- -
testcase_09 -- -
testcase_10 -- -
testcase_11 -- -
testcase_12 -- -
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testcase_36 -- -
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testcase_38 -- -
testcase_39 -- -
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ソースコード

diff #

# library from https://prd-xxx.hateblo.jp/entry/2020/02/07/114818
class Deque:
    def __init__(self, src_arr=[], max_size=300000):
        self.N = max(max_size, len(src_arr)) + 1
        self.buf = list(src_arr) + [None] * (self.N - len(src_arr))
        self.head = 0
        self.tail = len(src_arr)
    def __index(self, i):
        l = len(self)
        if not -l <= i < l: raise IndexError('index out of range: ' + str(i))
        if i < 0:
            i += l
        return (self.head + i) % self.N
    def __extend(self):
        ex = self.N - 1
        self.buf[self.tail+1 : self.tail+1] = [None] * ex
        self.N = len(self.buf)
        if self.head > 0:
            self.head += ex
    def is_full(self):
        return len(self) >= self.N - 1
    def is_empty(self):
        return len(self) == 0
    def append(self, x):
        if self.is_full(): self.__extend()
        self.buf[self.tail] = x
        self.tail += 1
        self.tail %= self.N
    def appendleft(self, x):
        if self.is_full(): self.__extend()
        self.buf[(self.head - 1) % self.N] = x
        self.head -= 1
        self.head %= self.N
    def pop(self):
        if self.is_empty(): raise IndexError('pop() when buffer is empty')
        ret = self.buf[(self.tail - 1) % self.N]
        self.tail -= 1
        self.tail %= self.N
        return ret
    def popleft(self):
        if self.is_empty(): raise IndexError('popleft() when buffer is empty')
        ret = self.buf[self.head]
        self.head += 1
        self.head %= self.N
        return ret
    def __len__(self):
        return (self.tail - self.head) % self.N
    def __getitem__(self, key):
        return self.buf[self.__index(key)]
    def __setitem__(self, key, value):
        self.buf[self.__index(key)] = value
    def __str__(self):
        return 'Deque({0})'.format(str(list(self)))

# https://github.com/tatyam-prime/SortedSet/blob/main/SortedSet.py
import math
from bisect import bisect_left, bisect_right
from typing import Generic, Iterable, Iterator, List, Tuple, TypeVar, Optional
T = TypeVar('T')

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

    def _build(self, a: Optional[List[T]] = None) -> None:
        "Evenly divide `a` into buckets."
        if a is None: a = list(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 SortedSet from iterable. / O(N) if sorted and unique / O(N log N)"
        a = list(a)
        self.size = len(a)
        if not all(a[i] < a[i + 1] for i in range(len(a) - 1)):
            a = sorted(set(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 __eq__(self, other) -> bool:
        return list(self) == list(other)
    
    def __len__(self) -> int:
        return self.size
    
    def __repr__(self) -> str:
        return "SortedSet" + str(self.a)
    
    def __str__(self) -> str:
        s = str(list(self))
        return "{" + s[1 : len(s) - 1] + "}"

    def _position(self, x: T) -> Tuple[List[T], int]:
        "Find the bucket and position which x should be inserted. self must not be empty."
        for a in self.a:
            if x <= a[-1]: break
        return (a, bisect_left(a, x))

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

    def add(self, x: T) -> bool:
        "Add an element and return True if added. / O(√N)"
        if self.size == 0:
            self.a = [[x]]
            self.size = 1
            return True
        a, i = self._position(x)
        if i != len(a) and a[i] == x: return False
        a.insert(i, x)
        self.size += 1
        if len(a) > len(self.a) * self.REBUILD_RATIO:
            self._build()
        return True
    
    def _pop(self, a: List[T], i: int) -> T:
        ans = a.pop(i)
        self.size -= 1
        if not a: self._build()
        return ans

    def discard(self, x: T) -> bool:
        "Remove an element and return True if removed. / O(√N)"
        if self.size == 0: return False
        a, i = self._position(x)
        if i == len(a) or a[i] != x: return False
        self._pop(a, i)
        return True
    
    def lt(self, x: T) -> Optional[T]:
        "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) -> Optional[T]:
        "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) -> Optional[T]:
        "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) -> Optional[T]:
        "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, i: int) -> T:
        "Return the i-th element."
        if i < 0:
            for a in reversed(self.a):
                i += len(a)
                if i >= 0: return a[i]
        else:
            for a in self.a:
                if i < len(a): return a[i]
                i -= len(a)
        raise IndexError
    
    def pop(self, i: int = -1) -> T:
        "Pop and return the i-th element."
        if i < 0:
            for a in reversed(self.a):
                i += len(a)
                if i >= 0: return self._pop(a, i)
        else:
            for a in self.a:
                if i < len(a): return self._pop(a, i)
                i -= 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
    


def solve():
    n = int(input())
    plist = list(map(int, input().split()))

    deq = Deque()
    deq.append(plist[0])
    ss = SortedSet()
    ss.add(plist[0])

    tento = 0
    f = plist[0]
    for i in range(1, n):
        p = plist[i]
        low = ss.index(p)
        up = i - low

        if low > up:
            tento += up
            deq.append(p)
        elif low == up:
            if f < p:
                tento += up
                deq.append(p)
            else:
                tento += low
                f = p
                deq.appendleft(p)
        else:
            tento += low
            f = p
            deq.appendleft(p)
        ss.add(p)
    
    print(tento)
    print(*deq)


    





q = int(input())
while q:
    q -= 1
    solve()
0