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import cp_library.__header__
from cp_library.bit.pack.packer_cls import Packer
import cp_library.ds.__header__
import cp_library.ds.heap.__header__
from cp_library.ds.heap.fast_heapq import heapify_max, heappop_max, heappush_max, heappushpop_max, heapreplace_max
from cp_library.ds.heap.heap_proto import HeapProtocol
class MaxPriorityQueue(HeapProtocol[int]):
def __init__(que, N: int, ids: list[int] = None, priorities: list[int] = None, /):
que.pkr = Packer(N)
if ids is None: que.data = elist(N)
elif priorities is None: heapify_max(ids); que.data = ids
else:
que.data = [0]*(M := len(ids))
for i in range(M): que.data[i] = que.pkr.enc(priorities[i], ids[i])
heapify_max(que.data)
def pop(que): return que.pkr.dec(heappop_max(que.data))
def push(que, priority: int, id: int): heappush_max(que.data, que.pkr.enc(priority, id))
def pushpop(que, priority: int, id: int): return que.pkr.dec(heappushpop_max(que.data, que.pkr.enc(priority, id)))
def replace(que, priority: int, id: int): return que.pkr.dec(heapreplace_max(que.data, que.pkr.enc(priority, id)))
def peek(que): return que.pkr.dec(que.data[0])
from cp_library.ds.elist_fn import elist
'''
╺━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸
https://kobejean.github.io/cp-library
'''
class Packer:
def __init__(P, mx: int):
P.s = mx.bit_length()
P.m = (1 << P.s) - 1
def enc(P, a: int, b: int): return a << P.s | b
def dec(P, x: int) -> tuple[int, int]: return x >> P.s, x & P.m
def enumerate(P, A, reverse=False): P.ienumerate(A:=A.copy(), reverse); return A
def ienumerate(P, A, reverse=False):
if reverse:
for i,a in enumerate(A): A[i] = P.enc(-a, i)
else:
for i,a in enumerate(A): A[i] = P.enc(a, i)
def indices(P, A: list[int]): P.iindices(A:=A.copy()); return A
def iindices(P, A):
for i,a in enumerate(A): A[i] = P.m&a
def heappush(heap: list, item):
heap.append(item)
heapsiftdown(heap, 0, len(heap)-1)
def heappop(heap: list):
item = heap.pop()
if heap: item, heap[0] = heap[0], item; heapsiftup(heap, 0)
return item
def heapreplace(heap: list, item):
item, heap[0] = heap[0], item; heapsiftup(heap, 0)
return item
def heappushpop(heap: list, item):
if heap and heap[0] < item: item, heap[0] = heap[0], item; heapsiftup(heap, 0)
return item
def heapify(x: list):
for i in reversed(range(len(x)//2)): heapsiftup(x, i)
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 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_max(heap: list):
item = heap.pop()
if heap: item, heap[0] = heap[0], item; heapsiftup_max(heap, 0)
return item
def heapreplace_max(heap: list, item):
item, heap[0] = heap[0], item; heapsiftup_max(heap, 0)
return item
def heapify_max(x: list):
for i in reversed(range(len(x)//2)): heapsiftup_max(x, i)
def heappush_max(heap: list, item):
heap.append(item); heapsiftdown_max(heap, 0, len(heap)-1)
def heapreplace_max(heap: list, item):
item, heap[0] = heap[0], item; heapsiftup_max(heap, 0)
return item
def heappushpop_max(heap: list, item):
if heap and heap[0] > item: item, heap[0] = heap[0], item; heapsiftup_max(heap, 0)
return item
def heapsiftdown_max(heap: list, root: int, pos: int):
item = heap[pos]
while root < pos and heap[p := (pos-1)>>1] < item: heap[pos], pos = heap[p], p
heap[pos] = item
def heapsiftup_max(heap: list, pos: int):
n, item, c = len(heap)-1, heap[pos], pos<<1|1
while c < n and item < heap[c := c+(heap[c]<heap[c+1])]: heap[pos], pos, c = heap[c], c, c<<1|1
if c == n and item < heap[c]: heap[pos], pos = heap[c], c
heap[pos] = item
from typing import Generic
from typing import TypeVar
_T = TypeVar('T')
_U = TypeVar('U')
class HeapProtocol(Generic[_T]):
def peek(heap) -> _T: return heap.data[0]
def pop(heap) -> _T: ...
def push(heap, item: _T): ...
def pushpop(heap, item: _T) -> _T: ...
def replace(heap, item: _T) -> _T: ...
def __contains__(heap, item: _T): return item in heap.data
def __len__(heap): return len(heap.data)
def clear(heap): heap.data.clear()
class MaxPriorityQueue(HeapProtocol[int]):
def __init__(que, N: int, ids: list[int] = None, priorities: list[int] = None, /):
que.pkr = Packer(N)
if ids is None: que.data = elist(N)
elif priorities is None: heapify_max(ids); que.data = ids
else:
que.data = [0]*(M := len(ids))
for i in range(M): que.data[i] = que.pkr.enc(priorities[i], ids[i])
heapify_max(que.data)
def pop(que): return que.pkr.dec(heappop_max(que.data))
def push(que, priority: int, id: int): heappush_max(que.data, que.pkr.enc(priority, id))
def pushpop(que, priority: int, id: int): return que.pkr.dec(heappushpop_max(que.data, que.pkr.enc(priority, id)))
def replace(que, priority: int, id: int): return que.pkr.dec(heapreplace_max(que.data, que.pkr.enc(priority, id)))
def peek(que): return que.pkr.dec(que.data[0])
def elist(est_len: int) -> list: ...
try:
from __pypy__ import newlist_hint
except:
def newlist_hint(hint):
return []
elist = newlist_hint