Buggy python submission (verdict: Time Limit Exceeded):
import heapq
import math
#これを加える！！！！
def _heappush_max(heap, item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappop_max(heap):
    """Maxheap version of a heappop."""
    lastelt = heap.pop()    # raises appropriate IndexError if heap is empty
    if heap:
        returnitem = heap[0]
        heap[0] = lastelt
        heapq._siftup_max(heap, 0)
        return returnitem
    return lastelt

"""
a = [1,7,3,5,4]

#heapify
#配列a = [1,7,3,5,4]をheapにする
heapq._heapify_max(a)
print(a) #[7, 5, 3, 1, 4]

#heappop
#最大値の取り出し
print(_heappop_max(a)) #7
print(a) #[5, 4, 3, 1]

#heappush
#要素(2)の挿入
_heappush_max(a,2)
print(a) #[5, 4, 3, 1, 2]

#最大値の取り出し
print(_heappop_max(a)) #5
"""

N, M = map(int, input().split())
a = [int(i) for i in input().split()]
b = a[:N]
heapq._heapify_max(b)

okaiage = []
heapq._heapify_max(okaiage)
_heappush_max(okaiage, _heappop_max(b)/2)

m = M - 1
for j in range(N-1):
    temp_oka = _heappop_max(okaiage)
    temp_a = _heappop_max(b)
    if m > 0:
        if temp_a > temp_oka:
            _heappush_max(okaiage, temp_a/2)
            _heappush_max(okaiage, temp_oka)
        else:
            _heappush_max(okaiage, temp_a)
            _heappush_max(okaiage, temp_oka/2)
    else:
        _heappush_max(okaiage, temp_a)
        _heappush_max(okaiage, temp_oka)
    m -= 1
if m > 0:
    for i in range(m):
        temp_oka = _heappop_max(okaiage) / 2
        _heappush_max(okaiage, temp_oka)
okaiage_kiri = [int(math.floor(_heappop_max(okaiage))) for i in range(N)]
print(sum(okaiage_kiri))


Fixed submission:
import heapq
import math
#これを加える！！！！
def _heappush_max(heap, item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappop_max(heap):
    """Maxheap version of a heappop."""
    lastelt = heap.pop()    # raises appropriate IndexError if heap is empty
    if heap:
        returnitem = heap[0]
        heap[0] = lastelt
        heapq._siftup_max(heap, 0)
        return returnitem
    return lastelt

"""
a = [1,7,3,5,4]

#heapify
#配列a = [1,7,3,5,4]をheapにする
heapq._heapify_max(a)
print(a) #[7, 5, 3, 1, 4]

#heappop
#最大値の取り出し
print(_heappop_max(a)) #7
print(a) #[5, 4, 3, 1]

#heappush
#要素(2)の挿入
_heappush_max(a,2)
print(a) #[5, 4, 3, 1, 2]

#最大値の取り出し
print(_heappop_max(a)) #5
"""

N, M = map(int, input().split())
a = [int(i) for i in input().split()]
heapq._heapify_max(a)

for j in range(M):
    _heappush_max(a, _heappop_max(a)//2)
print(sum(a))

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
import math
#これを加える！！！！
def _heappush_max(heap, item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappop_max(heap):
    """Maxheap version of a heappop."""
    lastelt = heap.pop()    # raises appropriate IndexError if heap is empty
    if heap:
        returnitem = heap[0]
        heap[0] = lastelt
        heapq._siftup_max(heap, 0)
        return returnitem
    return lastelt

"""
a = [1,7,3,5,4]

#heapify
#配列a = [1,7,3,5,4]をheapにする
heapq._heapify_max(a)
print(a) #[7, 5, 3, 1, 4]

#heappop
#最大値の取り出し
print(_heappop_max(a)) #7
print(a) #[5, 4, 3, 1]

#heappush
#要素(2)の挿入
_heappush_max(a,2)
print(a) #[5, 4, 3, 1, 2]

#最大値の取り出し
print(_heappop_max(a)) #5
"""

N, M = map(int, input().split())
a = [int(i) for i in input().split()]
b = [a[i] for i in range(N)]
heapq._heapify_max(b)

okaiage = []
heapq._heapify_max(okaiage)
_heappush_max(okaiage, _heappop_max(b)/2)

m = M - 1
for j in range(N-1):
    temp_oka = _heappop_max(okaiage)
    temp_a = _heappop_max(b)
    if m > 0:
        if temp_a > temp_oka:
            _heappush_max(okaiage, temp_a/2)
            _heappush_max(okaiage, temp_oka)
        else:
            _heappush_max(okaiage, temp_a)
            _heappush_max(okaiage, temp_oka/2)
    else:
        _heappush_max(okaiage, temp_a)
        _heappush_max(okaiage, temp_oka)
    m -= 1
if m > 0:
    for i in range(m):
        temp_oka = _heappop_max(okaiage) / 2
        _heappush_max(okaiage, temp_oka)
okaiage_kiri = [int(math.floor(_heappop_max(okaiage))) for i in range(N)]
print(sum(okaiage_kiri))


Fixed submission:
import heapq
import math
#これを加える！！！！
def _heappush_max(heap, item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappop_max(heap):
    """Maxheap version of a heappop."""
    lastelt = heap.pop()    # raises appropriate IndexError if heap is empty
    if heap:
        returnitem = heap[0]
        heap[0] = lastelt
        heapq._siftup_max(heap, 0)
        return returnitem
    return lastelt

"""
a = [1,7,3,5,4]

#heapify
#配列a = [1,7,3,5,4]をheapにする
heapq._heapify_max(a)
print(a) #[7, 5, 3, 1, 4]

#heappop
#最大値の取り出し
print(_heappop_max(a)) #7
print(a) #[5, 4, 3, 1]

#heappush
#要素(2)の挿入
_heappush_max(a,2)
print(a) #[5, 4, 3, 1, 2]

#最大値の取り出し
print(_heappop_max(a)) #5
"""

N, M = map(int, input().split())
a = [int(i) for i in input().split()]
heapq._heapify_max(a)

for j in range(M):
    _heappush_max(a, _heappop_max(a)//2)
print(sum(a))

Buggy python submission (verdict: Runtime Error):
import heapq
import math
#これを加える！！！！
def _heappush_max(heap, item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappop_max(heap):
    """Maxheap version of a heappop."""
    lastelt = heap.pop()    # raises appropriate IndexError if heap is empty
    if heap:
        returnitem = heap[0]
        heap[0] = lastelt
        heapq._siftup_max(heap, 0)
        return returnitem
    return lastelt

"""
a = [1,7,3,5,4]

#heapify
#配列a = [1,7,3,5,4]をheapにする
heapq._heapify_max(a)
print(a) #[7, 5, 3, 1, 4]

#heappop
#最大値の取り出し
print(_heappop_max(a)) #7
print(a) #[5, 4, 3, 1]

#heappush
#要素(2)の挿入
_heappush_max(a,2)
print(a) #[5, 4, 3, 1, 2]

#最大値の取り出し
print(_heappop_max(a)) #5
"""

N, M = map(int, input().split())
a = [int(i) for i in input().split()]
heapq._heapify_max(a)

okaiage = []
heapq._heapify_max(okaiage)
_heappush_max(okaiage, _heappop_max(a)/2)

m = M - 1
for j in range(N-1):
    temp_oka = _heappop_max(okaiage)
    temp_a = _heappop_max(a)
    #print(temp_oka, temp_a)
    if m > 0:
        if temp_a > temp_oka:
            _heappush_max(okaiage, temp_a/2)
            _heappush_max(okaiage, temp_oka)
        else:
            _heappush_max(okaiage, temp_a)
            _heappush_max(okaiage, temp_oka/2)
    else:
        _heappush_max(okaiage, temp_a)
        _heappush_max(okaiage, temp_oka)
    m -= 1
if m > 0:
    for i in range(m):
        temp_oka = _heappop_max(okaiage) / 2
        _heappush_max(okaiage, temp_oka)
#print(okaiage)
okaiage_kiri = [int(math.floor(_heappop_max(okaiage))) for i in range(N)]
#print(okaiage_kiri)
print(sum(okaiage_kiri))


Fixed submission:
import heapq
import math
#これを加える！！！！
def _heappush_max(heap, item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappop_max(heap):
    """Maxheap version of a heappop."""
    lastelt = heap.pop()    # raises appropriate IndexError if heap is empty
    if heap:
        returnitem = heap[0]
        heap[0] = lastelt
        heapq._siftup_max(heap, 0)
        return returnitem
    return lastelt

"""
a = [1,7,3,5,4]

#heapify
#配列a = [1,7,3,5,4]をheapにする
heapq._heapify_max(a)
print(a) #[7, 5, 3, 1, 4]

#heappop
#最大値の取り出し
print(_heappop_max(a)) #7
print(a) #[5, 4, 3, 1]

#heappush
#要素(2)の挿入
_heappush_max(a,2)
print(a) #[5, 4, 3, 1, 2]

#最大値の取り出し
print(_heappop_max(a)) #5
"""

N, M = map(int, input().split())
a = [int(i) for i in input().split()]
heapq._heapify_max(a)

for j in range(M):
    _heappush_max(a, _heappop_max(a)//2)
print(sum(a))

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
import math
#これを加える！！！！
def _heappush_max(heap, item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappop_max(heap):
    """Maxheap version of a heappop."""
    lastelt = heap.pop()    # raises appropriate IndexError if heap is empty
    if heap:
        returnitem = heap[0]
        heap[0] = lastelt
        heapq._siftup_max(heap, 0)
        return returnitem
    return lastelt

"""
a = [1,7,3,5,4]

#heapify
#配列a = [1,7,3,5,4]をheapにする
heapq._heapify_max(a)
print(a) #[7, 5, 3, 1, 4]

#heappop
#最大値の取り出し
print(_heappop_max(a)) #7
print(a) #[5, 4, 3, 1]

#heappush
#要素(2)の挿入
_heappush_max(a,2)
print(a) #[5, 4, 3, 1, 2]

#最大値の取り出し
print(_heappop_max(a)) #5
"""

N, M = map(int, input().split())
a = [int(i) for i in input().split()]
heapq._heapify_max(a)

okaiage = []
heapq._heapify_max(okaiage)
_heappush_max(okaiage, _heappop_max(a)/2)

m = M - 1
for j in range(N-1):
    temp_oka = _heappop_max(okaiage)
    temp_a = _heappop_max(a)
    #print(temp_oka, temp_a)
    if m > 0:
        if temp_a > temp_oka:
            _heappush_max(okaiage, temp_a/2)
            _heappush_max(okaiage, temp_oka)
        else:
            _heappush_max(okaiage, temp_a)
            _heappush_max(okaiage, temp_oka/2)
    else:
        _heappush_max(okaiage, temp_a)
        _heappush_max(okaiage, temp_oka)
    m -= 1
if m > 0:
    for i in range(m):
        temp_oka = _heappop_max(okaiage) / 2
        _heappush_max(okaiage, temp_oka)
#print(okaiage)
okaiage_kiri = [int(math.floor(_heappop_max(okaiage))) for i in range(N)]
#print(okaiage_kiri)
print(sum(okaiage_kiri))


Fixed submission:
import heapq
import math
#これを加える！！！！
def _heappush_max(heap, item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappop_max(heap):
    """Maxheap version of a heappop."""
    lastelt = heap.pop()    # raises appropriate IndexError if heap is empty
    if heap:
        returnitem = heap[0]
        heap[0] = lastelt
        heapq._siftup_max(heap, 0)
        return returnitem
    return lastelt

"""
a = [1,7,3,5,4]

#heapify
#配列a = [1,7,3,5,4]をheapにする
heapq._heapify_max(a)
print(a) #[7, 5, 3, 1, 4]

#heappop
#最大値の取り出し
print(_heappop_max(a)) #7
print(a) #[5, 4, 3, 1]

#heappush
#要素(2)の挿入
_heappush_max(a,2)
print(a) #[5, 4, 3, 1, 2]

#最大値の取り出し
print(_heappop_max(a)) #5
"""

N, M = map(int, input().split())
a = [int(i) for i in input().split()]
heapq._heapify_max(a)

for j in range(M):
    _heappush_max(a, _heappop_max(a)//2)
print(sum(a))