結果

問題 No.449 ゆきこーだーの雨と雪 (4)
ユーザー titan23titan23
提出日時 2022-09-29 21:44:47
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 22,195 bytes
コンパイル時間 372 ms
コンパイル使用メモリ 87,232 KB
実行使用メモリ 107,908 KB
最終ジャッジ日時 2023-08-24 05:07:25
合計ジャッジ時間 34,833 ms
ジャッジサーバーID
(参考情報)
judge14 / judge11
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 78 ms
71,460 KB
testcase_01 AC 77 ms
71,224 KB
testcase_02 AC 80 ms
71,440 KB
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 WA -
testcase_07 WA -
testcase_08 WA -
testcase_09 WA -
testcase_10 WA -
testcase_11 WA -
testcase_12 WA -
testcase_13 WA -
testcase_14 WA -
testcase_15 WA -
testcase_16 WA -
testcase_17 WA -
testcase_18 WA -
testcase_19 WA -
testcase_20 WA -
testcase_21 WA -
testcase_22 WA -
testcase_23 WA -
testcase_24 WA -
testcase_25 WA -
testcase_26 WA -
testcase_27 WA -
testcase_28 WA -
testcase_29 WA -
testcase_30 WA -
testcase_31 WA -
testcase_32 WA -
testcase_33 WA -
testcase_34 WA -
testcase_35 WA -
testcase_36 WA -
testcase_37 AC 652 ms
107,908 KB
testcase_38 AC 555 ms
94,488 KB
testcase_39 AC 451 ms
94,180 KB
testcase_40 AC 455 ms
93,908 KB
testcase_41 AC 758 ms
102,208 KB
testcase_42 WA -
testcase_43 AC 440 ms
82,216 KB
testcase_44 AC 458 ms
81,024 KB
testcase_45 AC 432 ms
107,868 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 = lambda: sys.stdin.readline().rstrip()


class AVLNode:
  __slots__ = ('key', 'val', 'size', 'left', 'right', 'balance')

  def __init__(self, key, val):
    self.key = key
    self.val = val
    self.size = 1
    self.left = None
    self.right = None
    self.balance = 0


class AVLTreeDict:
  
  __slots__ = ('node', '__iter', '__default')

  __LEFT, __RIGHT = 1, -1

  def __init__(self, V=[], c=False, default=None) -> None:
    self.__default = default
    self.node = None
    if c:
      self.__default = int
      self.__build(V)

  def __build(self, V) -> None:
    for v in sorted(V):
      self.__setitem__(v, self.__getitem__(v)+1)

  def __rotate_L(self, node: AVLNode) -> AVLNode:
    u = node.left
    u.size = node.size
    node.size -= 1 if u.left is None else u.left.size + 1
    node.left = u.right
    u.right = node
    if u.balance == 1:
      u.balance = 0
      node.balance = 0
    else:
      u.balance = -1
      node.balance = 1
    return u

  def __rotate_R(self, node: AVLNode) -> AVLNode:
    u = node.right
    u.size = node.size
    node.size -= 1 if u.right is None else u.right.size + 1
    node.right = u.left
    u.left = node
    if u.balance == -1:
      u.balance = 0
      node.balance = 0
    else:
      u.balance = 1
      node.balance = -1
    return u

  def __update_balance(self, node: AVLNode) -> None:
    # nodeはnew_node
    if node.balance == 1:
      node.right.balance = -1
      node.left.balance = 0
    elif node.balance == -1:
      node.right.balance = 0
      node.left.balance = 1
    else:
      node.right.balance = 0
      node.left.balance = 0
    node.balance = 0

  def __rotate_LR(self, node: AVLNode) -> AVLNode:
    #      A           E
    #     / \         / \
    #    B   C  ->   B   A
    #   /\          /\   /\
    #  D  E        D  F1F2 C
    #    /\
    #   F1 F2
    # # node: A
    B = node.left
    E = B.right
    E.size = node.size
    ers = 0 if E.right is None else E.right.size
    node.size -= B.size - ers
    B.size -= ers + 1
    B.right = E.left
    E.left = B
    node.left = E.right
    E.right = node
    self.__update_balance(E)
    return E

  def __rotate_RL(self, node: AVLNode) -> AVLNode:
    C = node.right
    D = C.left
    D.size = node.size
    dls = 0 if D.left is None else D.left.size
    node.size -= C.size - dls
    C.size -= dls + 1
    C.left = D.right
    D.right = C
    node.right = D.left
    D.left = node
    self.__update_balance(D)
    return D

  def __kth_elm(self, k: int) -> tuple:
    if k < 0:
      k += self.__len__()
    now = 0
    node = self.node
    while node is not None:
      t =  now if node.left is None else now + node.left.size
      if t < k:
        now = t + 1
        node = node.right
      elif t > k:
        node = node.left
      else:
        return node.key, node.val
    raise IndexError(f'k={k}, len={self.__len__()}')

  def items(self) -> tuple:
    indx = 0
    while indx < self.__len__():
      yield self.__kth_elm(indx)
      indx += 1

  def keys(self):
    indx = 0
    while indx < self.__len__():
      yield self.__kth_elm(indx)[0]
      indx += 1

  def values(self):
    indx = 0
    while indx < self.__len__():
      yield self.__kth_elm(indx)[1]
      indx += 1

  def __search_node(self, key) -> AVLNode:
    node = self.node
    while node:
      if key < node.key:
        node = node.left
      elif key > node.key:
        node = node.right
      else:
        break
    return node

  def __discard(self, key) -> bool:
    '''Discard a key. / O(logN)'''
    path = []
    node = self.node
    while node is not None:
      if key < node.key:
        path.append((node, self.__LEFT, 0))
        node = node.left
      elif key > node.key:
        path.append((node, self.__RIGHT, 0))
        node = node.right
      else:
        break
    else:
      return False

    if node.left is not None and node.right is not None:
      path.append((node, self.__LEFT, 0))
      lmax = node.left
      while lmax.right is not None:
        path.append((lmax, self.__RIGHT, 1))
        lmax = lmax.right
      node.key = lmax.key
      node.val = lmax.val
      lmax_val = lmax.val
      node = lmax

    cnode = node.right if node.left is None else node.left
    if path:
      pnode, di, _ = path[-1]
      if di == self.__LEFT:
        pnode.left = cnode
      else:
        pnode.right = cnode
    else:
      self.node = cnode
      return True

    while path:
      new_node = None
      pnode, di, flag = path.pop()
      pnode.balance -= di
      pnode.size -= 1

      if pnode.balance > 1:
        if pnode.left.balance < 0:
          new_node = self.__rotate_LR(pnode)
        else:
          new_node = self.__rotate_L(pnode)
      elif pnode.balance < -1:
        if pnode.right.balance > 0:
          new_node = self.__rotate_RL(pnode)
        else:
          new_node = self.__rotate_R(pnode)
      elif pnode.balance != 0:
        break

      if new_node is not None:
        if not path:
          self.node = new_node
          return    
        gnode, gdir, _ = path[-1]
        if gdir == self.__LEFT:
          gnode.left = new_node
        else:
          gnode.right = new_node
        if new_node.balance != 0:
          break

    while path:
      path.pop()[0].size -= 1

    return True

  def __setitem__(self, key, val):
    '''add a key. / O(logN)'''
    if self.node is None:
      self.node = AVLNode(key, val)
      return True

    pnode = self.node
    path = []
    while pnode is not None:
      if key < pnode.key:
        path.append((pnode, self.__LEFT))
        pnode = pnode.left
      elif key > pnode.key:
        path.append((pnode, self.__RIGHT))
        pnode = pnode.right
      else:
        pnode.val = val
        return

    pnode, di = path[-1]
    if di == self.__LEFT:
      pnode.left = AVLNode(key, val)
    else:
      pnode.right = AVLNode(key, val)
    
    while path:
      new_node = None
      pnode, di = path.pop()
      pnode.size += 1
      pnode.balance += di
      if pnode.balance == 0:
        break

      if pnode.balance > 1:  # pnodeの左部分木が茂りすぎ
        if pnode.left.balance < 0:
          # LR2重回転: nodeの右側が茂っている場合
          new_node = self.__rotate_LR(pnode)
        else:
          # LL1重回転: nodeの左側が茂っている場合
          new_node = self.__rotate_L(pnode)
        break
      elif pnode.balance < -1:   # pnodeの右部分木が茂りすぎ
        if pnode.right.balance > 0:
          # RL2重回転: nodeの左側が茂っている場合
          new_node = self.__rotate_RL(pnode)
        else:
          # RR1重回転: nodeの右側が茂っている場合
          new_node = self.__rotate_R(pnode)
        break
      # else: 最初にpnode.balanceを更新したので、何もせずcontinueしてOK

    if new_node is not None:
      if path:
        gnode, gdi = path.pop()
        gnode.size += 1
        if gdi == self.__LEFT:
          gnode.left = new_node
        else:
          gnode.right = new_node
      else:
        self.node = new_node
        return

    while path:
      path.pop()[0].size += 1

    return

  def __delitem__(self, key):
    '''Remove a key. / O(logN)'''
    if self.__discard(key):
      return
    raise KeyError(key)

  def __getitem__(self, key):
    node = self.__search_node(key)
    return self.__missing__() if node is None else node.val

  def __contains__(self, key):
    return self.__search_node(key) is not None

  def __reversed__(self):
    for i in range(self.__len__()):
      yield self.__kth_elm(-i-1)

  def __len__(self):
    return 0 if self.node is None else self.node.size

  def __bool__(self):
    return self.node is not None

  def __repr__(self):
    return '{' + ', '.join(map(lambda x: f'{x[0]}: {x[1]}', self.items())) + '}'

  def __str__(self):
    return '{' + ', '.join(map(lambda x: f'{x[0]}: {x[1]}', self.items())) + '}'

  def __missing__(self):
    return self.__default()

  def __iter__(self):
    self.__iter = 0
    return self

  def __next__(self):
    if self.__iter == self.__len__():
      raise StopIteration
    res = self.__kth_elm(self.__iter)[0]
    self.__iter += 1
    return res


class AVLNode:
  __slots__ = ('key', 'val', 'size', 'valsize', 'left', 'right', 'balance')
  
  def __init__(self, key, val):
    self.key = key
    self.val = val
    self.valsize = val
    self.size = 1
    self.left = None
    self.right = None
    self.balance = 0

  def __str__(self):
    if self.left is None and self.right is None:
      return f'key:{self.key, self.val, self.valsize, self.size}\n'
    return f'key:{self.key, self.val, self.valsize, self.size},\n left:{self.left},\n right:{self.right}\n'

class AVLTreeMultiSet:

  __slots__ = ('node', '__iter')

  __LEFT, __RIGHT = 1, -1

  def __init__(self, V=[]):
    self.node = None
    self.__build(V)

  def __build(self, V):
    for v in sorted(V):
      self.add(v, 1)

  def __rotate_L(self, node: AVLNode) -> AVLNode:
    u = node.left
    u.size = node.size
    u.valsize = node.valsize
    node.size -= 1 if u.left is None else u.left.size + 1
    node.valsize -= u.val if u.left is None else u.left.valsize + u.val
    node.left = u.right
    u.right = node
    if u.balance == 1:
      u.balance = 0
      node.balance = 0
    else:
      u.balance = -1
      node.balance = 1
    return u

  def __rotate_R(self, node: AVLNode) -> AVLNode:
    u = node.right
    u.size = node.size
    u.valsize = node.valsize
    node.size -= 1 if u.right is None else u.right.size + 1
    node.valsize -= u.val if u.right is None else u.right.valsize + u.val
    node.right = u.left
    u.left = node
    if u.balance == -1:
      u.balance = 0
      node.balance = 0
    else:
      u.balance = 1
      node.balance = -1
    return u

  def __update_balance(self, node: AVLNode) -> None:
    # nodeはnew_node
    if node.balance == 1:
      node.right.balance = -1
      node.left.balance = 0
    elif node.balance == -1:
      node.right.balance = 0
      node.left.balance = 1
    else:
      node.right.balance = 0
      node.left.balance = 0
    node.balance = 0

  def __rotate_LR(self, node: AVLNode) -> AVLNode:
    #      A           E
    #     / \         / \
    #    B   C  ->   B   A
    #   /\          /\   /\
    #  D  E        D  F1F2 C
    #    /\
    #   F1 F2
    # # node: A
    E = node.left.right
    F1 = E.left
    F2 = E.right
    E.left = node.left
    E.left.right = F1
    E.right = node
    E.right.left = F2

    E.left.size = 1 + (0 if E.left.right is None else E.left.right.size) + (0 if E.left.left is None else E.left.left.size)
    E.right.size = 1 + (0 if E.right.right is None else E.right.right.size) + (0 if E.right.left is None else E.right.left.size)
    E.size = E.left.size + E.right.size + 1

    E.left.valsize = E.left.val + (0 if E.left.right is None else E.left.right.valsize) + (0 if E.left.left is None else E.left.left.valsize)
    E.right.valsize = E.right.val + (0 if E.right.right is None else E.right.right.valsize) + (0 if E.right.left is None else E.right.left.valsize)
    E.valsize = E.left.valsize + E.right.valsize + E.val

    self.__update_balance(E)
    return E

  def __rotate_RL(self, node: AVLNode) -> AVLNode:
    D = node.right.left
    F1 = D.left
    F2 = D.right
    D.right = node.right
    D.right.left = F2
    D.left = node
    D.left.right = F1
    D.right.size = 1 + (0 if D.right.left is None else D.right.left.size) + (0 if D.right.right is None else D.right.right.size)
    D.left.size = 1 + (0 if D.left.left is None else D.left.left.size) + (0 if D.left.right is None else D.left.right.size)
    D.size = D.right.size + D.left.size + 1

    D.right.valsize = D.right.val + (0 if D.right.left is None else D.right.left.valsize) + (0 if D.right.right is None else D.right.right.valsize)
    D.left.valsize = D.left.val + (0 if D.left.left is None else D.left.left.valsize) + (0 if D.left.right is None else D.left.right.valsize)
    D.valsize = D.right.valsize + D.left.valsize + D.val
    self.__update_balance(D)
    return D

  def __discard(self, key) -> bool:
    '''Discard node of key from self. / O(logN)'''
    path = []
    node = self.node
    while node is not None:
      if key < node.key:
        path.append((node, self.__LEFT, 0))
        node = node.left
      elif key > node.key:
        path.append((node, self.__RIGHT, 0))
        node = node.right
      else:
        break

    if node.left is not None:
      path.append((node, self.__LEFT, 0))
      lmax = node.left
      while lmax.right is not None:
        path.append((lmax, self.__RIGHT, 1))
        lmax = lmax.right
      node.key = lmax.key
      node.val = lmax.val
      lmax_val = lmax.val
      node = lmax

    cnode = node.right if node.left is None else node.left
    if path:
      pnode, di, _ = path[-1]
      if di == self.__LEFT:
        pnode.left = cnode
      else:
        pnode.right = cnode
    else:
      self.node = cnode
      return True

    while path:
      new_node = None
      pnode, di, flag = path.pop()
      pnode.balance -= di
      pnode.size -= 1
      pnode.valsize -= lmax_val if flag else 1

      if pnode.balance == 2:
        if pnode.left.balance < 0:
          new_node = self.__rotate_LR(pnode)
        else:
          new_node = self.__rotate_L(pnode)
      elif pnode.balance == -2:
        if pnode.right.balance > 0:
          new_node = self.__rotate_RL(pnode)
        else:
          new_node = self.__rotate_R(pnode)
      elif pnode.balance != 0:
        break

      if new_node is not None:
        if len(path) == 0:
          self.node = new_node
          return    
        gnode, gdir, _ = path[-1]
        if gdir == self.__LEFT:
          gnode.left = new_node
        else:
          gnode.right = new_node
        if new_node.balance != 0:
          break

    while path:
      pnode, _, flag = path.pop()
      pnode.size -= 1
      pnode.valsize -= lmax_val if flag else 1

    return True

  def discard(self, key, cnt=1) -> bool:
    path = []
    node = self.node
    while node is not None:
      if key < node.key:
        path.append(node)
        node = node.left
      elif key > node.key:
        path.append(node)
        node = node.right
      else:
        path.append(node)
        break
    else:
      return False
    if cnt >= node.val:
      cnt = node.val - 1
      path[-1].val -= cnt
      while path:
        pnode = path.pop()
        pnode.valsize -= cnt
    if node.val == 1:
      self.__discard(key)
    else:
      path[-1].val -= cnt
      while path:
        pnode = path.pop()
        pnode.valsize -= cnt
    return True

  def __getval(self, key):
    node = self.node
    while node:
      if node.key == key:
        return node.val
      elif key < node.key:
        node = node.left
      else:
        node = node.right
    raise KeyError

  def add(self, key, cnt=1) -> None:
    '''add key cnt times. / O(logN)'''
    if self.node is None:
      self.node = AVLNode(key, cnt)
      return

    pnode = self.node
    path = []
    while pnode is not None:
      if key < pnode.key:
        path.append((pnode, self.__LEFT))
        pnode = pnode.left
      elif key > pnode.key:
        path.append((pnode, self.__RIGHT))
        pnode = pnode.right
      else:
        pnode.val += cnt
        pnode.valsize += cnt
        while path:
          pnode, _ = path.pop()
          pnode.valsize += cnt
        return

    pnode, di = path[-1]
    if di == self.__LEFT:
      pnode.left = AVLNode(key, cnt)
    else:
      pnode.right = AVLNode(key, cnt)
    
    while path:
      new_node = None
      pnode, di = path.pop()
      pnode.size += 1
      pnode.valsize += cnt
      pnode.balance += di
      if pnode.balance == 0:
        break

      if pnode.balance == 2:  # pnodeの左部分木が茂りすぎ
        if pnode.left.balance == -1:
          # LR2重回転: nodeの右側が茂っている場合
          new_node = self.__rotate_LR(pnode)
        else:
          # LL1重回転: nodeの左側が茂っている場合
          new_node = self.__rotate_L(pnode)
        break
      elif pnode.balance == -2:   # pnodeの右部分木が茂りすぎ
        if pnode.right.balance == 1:
          # RL2重回転: nodeの左側が茂っている場合
          new_node = self.__rotate_RL(pnode)
        else:
          # RR1重回転: nodeの右側が茂っている場合
          new_node = self.__rotate_R(pnode)
        break
      # else: 最初にpnode.balanceを更新したので、何もせずcontinueしてOK

    if new_node is not None:
      if path:
        gnode, gdi = path.pop()
        gnode.size += 1
        gnode.valsize += cnt
        if gdi == self.__LEFT:
          gnode.left = new_node
        else:
          gnode.right = new_node
      else:
        self.node = new_node

    while path:
      pnode, _ = path.pop()
      pnode.size += 1
      pnode.valsize += cnt
    return

  def count(self, key) -> int:
    pass
    return self.__getval(key)

  def le(self, key):
    '''Find the largest element <= key, or None if it doesn't exist. / O(logN)'''
    if key in self:
      return key
    indx = self.index(key)
    return self.__getitem__(indx-1) if 0 <= indx-1 < self.__len__() else None

  def lt(self, key):
    '''Find the largest element < key, or None if it doesn't exist. / O(logN)'''
    indx = self.index(key)
    return self.__getitem__(indx-1) if 0 <= indx-1 < self.__len__() else None

  def ge(self, key):
    '''Find the smallest element >= key, or None if it doesn't exist. / O(logN)'''
    if key in self:
      return key
    indx = self.index_right(key)
    return self.__getitem__(indx) if 0 <= indx < self.__len__() else None

  def gt(self, key):
    '''Find the smallest element > key, or None if it doesn't exist. / O(logN)'''
    indx = self.index_right(key)
    return self.__getitem__(indx) if 0 <= indx < self.__len__() else None

  def index(self, key) -> int:
    '''Count the number of elements < key. / O(logN)'''
    indx = 0
    node = self.node
    while node:
      if node.key == key:
        indx += 0 if node.left is None else node.left.valsize
        break
      elif key < node.key:
        node = node.left
      else:
        indx += node.val if node.left is None else node.left.valsize + node.val
        node = node.right
    return indx

  def index_right(self, key) -> int:
    '''Count the number of elements <= key. / O(logN)'''
    indx = 0
    node = self.node
    while node:
      if node.key == key:
        indx += (0 if node.left is None else node.left.valsize) + node.val
        break
      elif key < node.key:
        node = node.left
      else:
        indx += (0 if node.left is None else node.left.valsize) + node.val
        node = node.right
    return indx

  def pop(self, p=-1):
    '''Return and Remove max element or a[p]. / O(logN)'''
    if p < 0:
      p += self.__len__()
    assert 0 <= p < self.__len__()
    x = self.__getitem__(p)
    self.discard(x)
    return x

  def popleft(self):
    '''Return and Remove min element. / O(logN)'''
    return self.pop(0)

  def items(self):
    indx = 0
    while indx < self.__len_tree():
      yield self.__kth_elm_tree(indx)
      indx += 1

  def keys(self):
    indx = 0
    while indx < self.__len_tree():
      yield self.__kth_elm_tree(indx)[0]
      indx += 1

  def values(self):
    indx = 0
    while indx < self.__len_tree():
      yield self.__kth_elm_tree(indx)[1]
      indx += 1

  def __getitem__(self, k):
    return self.__kth_elm_set(k)[0]

  def __kth_elm_set(self, k) -> tuple:
    if k < 0:
      k += self.__len__()
    now = 0
    node = self.node
    while node is not None:
      s = now + node.left.valsize if node.left is not None else now
      t = s + node.val
      if s <= k < t:
        return node.key, node.val
      elif t <= k:
        now = t
        node = node.right
      else:
        node = node.left
    raise IndexError

  def __kth_elm_tree(self, k) -> tuple:
    if k < 0:
      k += self.__len_tree()
    now = 0
    node = self.node
    while node is not None:
      t = now + node.left.size if node.left is not None else now
      if t == k:
        return node.key, node.val
      elif t < k:
        now = t + 1
        node = node.right
      else:
        node = node.left
    raise IndexError

  def __contains__(self, key):
    node = self.node
    while node:
      if node.key == key:
        return True
      elif key < node.key:
        node = node.left
      else:
        node = node.right
    return False

  def __iter__(self):
    self.__iter = 0
    return self

  def __next__(self):
    if self.__iter == self.__len__():
      raise StopIteration
    res = self.__kth_elm_set(self.__iter)
    self.__iter += 1
    return res

  def __reversed__(self):
    for i in range(self.__len__()):
      yield self.__kth_elm_set(-i-1)

  def __len_tree(self):
    return 0 if self.node is None else self.node.size

  def __len__(self):
    return 0 if self.node is None else self.node.valsize

  def __bool__(self):
    return True if self.node is not None else False

  def __str__(self):
    return '{' + ', '.join(map(lambda x: ', '.join([str(x[0])]*x[1]), self.items())) + '}'

  def show(self):
    return '{' + ', '.join(map(lambda x: f'{x[0]}: {x[1]}', self.items())) + '}'

  def __str__(self):
    return '{' + ', '.join(map(lambda x: ', '.join([str(x[0])]*x[1]), self.items())) + '}'

  def count_elm(self):
    return self.__len_tree()



#  -----------------------  #

n = int(input())
L = list(map(int, input().split()))
for i in range(len(L)):
  L[i] *= 10**9
cnt = [0] * len(L)
score_dict = AVLTreeDict(default=int)
score_set = AVLTreeMultiSet()
alp = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
t = int(input())
for i in range(t):
  name, p = input().split()
  if p == '?':
    print(len(score_dict)-score_set.index(score_dict[name]))
  else:
    q = alp.index(p)
    cnt[q] += 1
    star = L[q]
    prescore = score_dict[name]
    newscore = prescore + star*50 + int(star*50/(0.8 + 0.2*cnt[q])) - i
    score_dict[name] = newscore
    score_set.discard(prescore)
    score_set.add(newscore)
0