This documentation is automatically generated by online-judge-tools/verification-helper
# verification-helper: PROBLEM https://judge.yosupo.jp/problem/double_ended_priority_queue
# modified from abUma: https://judge.yosupo.jp/submission/144329
from cp_library.ds.reserve_fn import reserve
from cp_library.ds.heap.fast_heapq import heappop, heappush, heapify
class DoubleEndedPriorityQueue:
def __init__(self, n: int, q: int, arr: list[int]=None) -> None:
self.hq1 = arr
self.hq2 = [0]*n
reserve(self.hq1, n+q)
reserve(self.hq2, n+q)
self.used = bytearray(n+q)
if arr:
for i, x in enumerate(S):
self.hq1[i] = tmp = x << 28 | i
self.hq2[i] = ~tmp
heapify(self.hq1)
heapify(self.hq2)
def pop_min(self):
while 1:
tmp = heappop(self.hq1)
x, i = tmp >> 28, tmp & 0xfffffff
if self.used[i]: continue
self.used[i] = 1
return x
def pop_max(self):
while 1:
tmp = ~heappop(self.hq2)
x, i = tmp >> 28, tmp & 0xfffffff
if self.used[i]: continue
self.used[i] = 1
return x
def push(self, x: int, i: int) -> None:
heappush(self.hq1, tmp := x << 28 | i)
heappush(self.hq2, ~tmp)
from cp_library.io.fast.fast_io_fn import rd, rdl, wtn
N, Q = rd(), rd()
S = rdl(N)
depq = DoubleEndedPriorityQueue(N, Q, S)
for i in range(Q):
cmd = rd()
if cmd == 0:
x = rd()
depq.push(x, i + N)
elif cmd == 1:
wtn(depq.pop_min())
else:
wtn(depq.pop_max())
# verification-helper: PROBLEM https://judge.yosupo.jp/problem/double_ended_priority_queue
# modified from abUma: https://judge.yosupo.jp/submission/144329
'''
╺━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸
https://kobejean.github.io/cp-library
'''
def reserve(A: list, est_len: int) -> None: ...
try:
from __pypy__ import resizelist_hint
except:
def resizelist_hint(A: list, est_len: int):
pass
reserve = resizelist_hint
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
# 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
class DoubleEndedPriorityQueue:
def __init__(self, n: int, q: int, arr: list[int]=None) -> None:
self.hq1 = arr
self.hq2 = [0]*n
reserve(self.hq1, n+q)
reserve(self.hq2, n+q)
self.used = bytearray(n+q)
if arr:
for i, x in enumerate(S):
self.hq1[i] = tmp = x << 28 | i
self.hq2[i] = ~tmp
heapify(self.hq1)
heapify(self.hq2)
def pop_min(self):
while 1:
tmp = heappop(self.hq1)
x, i = tmp >> 28, tmp & 0xfffffff
if self.used[i]: continue
self.used[i] = 1
return x
def pop_max(self):
while 1:
tmp = ~heappop(self.hq2)
x, i = tmp >> 28, tmp & 0xfffffff
if self.used[i]: continue
self.used[i] = 1
return x
def push(self, x: int, i: int) -> None:
heappush(self.hq1, tmp := x << 28 | i)
heappush(self.hq2, ~tmp)
from __pypy__.builders import StringBuilder
import sys
from os import read as os_read, write as os_write
from atexit import register as atexist_register
class Fastio:
ibuf = bytes()
pil = pir = 0
sb = StringBuilder()
def load(self):
self.ibuf = self.ibuf[self.pil:]
self.ibuf += os_read(0, 131072)
self.pil = 0; self.pir = len(self.ibuf)
def flush_atexit(self): os_write(1, self.sb.build().encode())
def flush(self):
os_write(1, self.sb.build().encode())
self.sb = StringBuilder()
def fastin(self):
if self.pir - self.pil < 64: self.load()
minus = x = 0
while self.ibuf[self.pil] < 45: self.pil += 1
if self.ibuf[self.pil] == 45: minus = 1; self.pil += 1
while self.ibuf[self.pil] >= 48:
x = x * 10 + (self.ibuf[self.pil] & 15)
self.pil += 1
if minus: return -x
return x
def fastin_string(self):
if self.pir - self.pil < 64: self.load()
while self.ibuf[self.pil] <= 32: self.pil += 1
res = bytearray()
while self.ibuf[self.pil] > 32:
if self.pir - self.pil < 64: self.load()
res.append(self.ibuf[self.pil])
self.pil += 1
return res
def fastout(self, x): self.sb.append(str(x))
def fastoutln(self, x): self.sb.append(str(x)); self.sb.append('\n')
fastio = Fastio()
rd = fastio.fastin; rds = fastio.fastin_string; wt = fastio.fastout; wtn = fastio.fastoutln; flush = fastio.flush
atexist_register(fastio.flush_atexit)
sys.stdin = None; sys.stdout = None
def rdl(n):
lst = [0]*n
for i in range(n): lst[i] = rd()
return lst
def wtnl(l): wtn(' '.join(map(str, l)))
N, Q = rd(), rd()
S = rdl(N)
depq = DoubleEndedPriorityQueue(N, Q, S)
for i in range(Q):
cmd = rd()
if cmd == 0:
x = rd()
depq.push(x, i + N)
elif cmd == 1:
wtn(depq.pop_min())
else:
wtn(depq.pop_max())