Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
a=[int(i) for i in input().split()]
mask=0
for k in range(K):
  mask|=1<<k
a.sort(reverse=True)
dp=[0]*(N+1)
dp[0]=1
for i in range(N):
  dp[i+1]=(dp[i]|(dp[i]<<a[i]))&mask

def solve(x):
  if len(bin(dp[x]<<a[x]))-2>=K+1:
    return True
  else:
    return False
  
for i in range(-1,N)[::-1]:
  if solve(i):
    break
    
print(N-i-1)

Fixed submission:
from bisect import bisect_left
N,K=map(int,input().split())
a=[int(i) for i in input().split()]
a.sort()
a=a[:bisect_left(a,K)]
d=[False]*(K)
d[0]=True
curr_max=0
ans=len(a)
for i,a in reversed(list(enumerate(a))):
  if curr_max+a>=K:
    ans=i
  c=curr_max
  for j in range(curr_max+1)[::-1]:
    if j+a<K and d[j]:
      d[j+a]=True
      c=max(c,j+a)
  curr_max=c
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
a=[int(i) for i in input().split()]
mask=0
for k in range(K):
  mask|=1<<k
a.sort(reverse=True)
dp=[0]*(N+1)
dp[0]=1
for i in range(N):
  dp[i+1]=(dp[i]|(dp[i]<<a[i]))&mask

def solve(x):
  if (dp[x]<<a[x])&(~mask):
    return True
  else:
    return False
  
for i in range(-1,N)[::-1]:
  if solve(i):
    break
    
print(N-i-1)

Fixed submission:
from bisect import bisect_left
N,K=map(int,input().split())
a=[int(i) for i in input().split()]
a.sort()
a=a[:bisect_left(a,K)]
d=[False]*(K)
d[0]=True
curr_max=0
ans=len(a)
for i,a in reversed(list(enumerate(a))):
  if curr_max+a>=K:
    ans=i
  c=curr_max
  for j in range(curr_max+1)[::-1]:
    if j+a<K and d[j]:
      d[j+a]=True
      c=max(c,j+a)
  curr_max=c
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
a=[int(i) for i in input().split()]
mask=(1<<(K))-1
a.sort(reverse=True)
dp=[0]*(N+1)
dp[0]=1
for i in range(N):
  dp[i+1]=(dp[i]|(dp[i]<<a[i]))&mask

def solve(x):
  if (dp[x]<<a[x])>=1<<K:
    return True
  else:
    return False
  
for i in range(-1,N)[::-1]:
  if solve(i):
    break
    
print(N-i-1)

Fixed submission:
from bisect import bisect_left
N,K=map(int,input().split())
a=[int(i) for i in input().split()]
a.sort()
a=a[:bisect_left(a,K)]
d=[False]*(K)
d[0]=True
curr_max=0
ans=len(a)
for i,a in reversed(list(enumerate(a))):
  if curr_max+a>=K:
    ans=i
  c=curr_max
  for j in range(curr_max+1)[::-1]:
    if j+a<K and d[j]:
      d[j+a]=True
      c=max(c,j+a)
  curr_max=c
print(ans)

Buggy python submission (verdict: Runtime Error):
from bisect import bisect
N,K=map(int,input().split())
a=[int(i) for i in input().split()]
a.sort()
def dp(n):
  d=[False]*(K+1)
  d[0]=True
  for i in range(N):
    if i!=n:
      for w in range(K)[::-1]:
        if w+a[i]<=K and d[w]:
          d[w+a[i]]=True
  for i in range(K-a[n],K):
    if d[i]:
      return True
  return False

l,r=0,N-1
while r-l>1:
  m=(l+r)//2
  if dp(m):
    r=m
  else:
    l=m
if r==N-1 and not dp(N-1):
  print(N)
elif not dp(r):
  print(r+1)
elif not dp(l):
  print(l+1)
else:
  print(l)


Fixed submission:
from bisect import bisect_left
N,K=map(int,input().split())
a=[int(i) for i in input().split()]
a.sort()
a=a[:bisect_left(a,K)]
d=[False]*(K)
d[0]=True
curr_max=0
ans=len(a)
for i,a in reversed(list(enumerate(a))):
  if curr_max+a>=K:
    ans=i
  c=curr_max
  for j in range(curr_max+1)[::-1]:
    if j+a<K and d[j]:
      d[j+a]=True
      c=max(c,j+a)
  curr_max=c
print(ans)