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import cp_library.__header__
from collections import Counter, UserList
from typing import Iterable
from math import inf
from cp_library.misc.typing import _T
import cp_library.ds.__header__
import cp_library.ds.heap.__header__
from cp_library.ds.heap.heappop_fn import heappop
from cp_library.ds.heap.heappush_fn import heappush
class MinMultiset(UserList[_T]):
def __init__(self, iterable: Iterable = None, default = inf): self.data = list(iterable) if iterable else []; self.default = default; self.counter = Counter(self.data)
def add(self, x: _T): self.counter[x] += 1; heappush(self.data, x)
def remove(self, x: _T):
cnt, data = self.counter, self.data; cnt[x] -= 1
while data and cnt[data[0]] == 0: heappop(data)
@property
def min(self): return self.data[0] if self.data else self.default'''
╺━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸
https://kobejean.github.io/cp-library
'''
from collections import Counter, UserList
from typing import Iterable
from math import inf
from typing import TypeVar
_S = TypeVar('S'); _T = TypeVar('T'); _U = TypeVar('U'); _T1 = TypeVar('T1'); _T2 = TypeVar('T2'); _T3 = TypeVar('T3'); _T4 = TypeVar('T4'); _T5 = TypeVar('T5'); _T6 = TypeVar('T6')
def heapsiftup(heap: list, pos: int):
n, item, c = len(heap)-1, heap[pos], pos<<1|1
while c < n and heap[c := c+(heap[c+1]<heap[c])] < item: heap[pos], pos, c = heap[c], c, c<<1|1
if c == n and heap[c] < item: heap[pos], pos = heap[c], c
heap[pos] = item
def heappop(heap: list):
item = heap.pop()
if heap: item, heap[0] = heap[0], item; heapsiftup(heap, 0)
return item
def heapsiftdown(heap: list, root: int, pos: int):
item = heap[pos]
while root < pos and item < heap[p := (pos-1)>>1]: heap[pos], pos = heap[p], p
heap[pos] = item
def heappush(heap: list, item):
heap.append(item)
heapsiftdown(heap, 0, len(heap)-1)
class MinMultiset(UserList[_T]):
def __init__(self, iterable: Iterable = None, default = inf): self.data = list(iterable) if iterable else []; self.default = default; self.counter = Counter(self.data)
def add(self, x: _T): self.counter[x] += 1; heappush(self.data, x)
def remove(self, x: _T):
cnt, data = self.counter, self.data; cnt[x] -= 1
while data and cnt[data[0]] == 0: heappop(data)
@property
def min(self): return self.data[0] if self.data else self.default