Buggy python submission (verdict: Time Limit Exceeded):
import sys
N, K = map(int, input().split())
A = list(map(int, input().split()))
#A = [i for i in range(1,2)] + [i for i in range(2,1001)] * 4
A.sort()

DP = [0 for k in range(K+1)] #和がkとなる部分集合の数
DP[0] = 1
for a in A:
  for k in range(K-a,-1,-1):
    DP[k+a] += DP[k]

"""
for k in range(1,2*K+1): #累積和へ変換
  DP[k] += DP[k-1]
print(DP)
"""
"""
if sum(DP[0:K]) == 2**N:
  print(N)
  sys.exit()
"""
#print(DP)  
ans = 0
DP_rev = [0 for _ in range(K)] #戻すDP!!!
flag = True
for a in A:
  if not flag: break
  for i in range(K):
    DP_rev[i] = DP[i] 
    if i-a >= 0:
      DP_rev[i] -= DP_rev[i-a]
    if i >= K-a and DP_rev[i] > 0:
      flag = False
      break
  if flag:
    ans += 1
  #print(a, DP_rev)
    
print(ans)
  
  
  
  


Fixed submission:
import sys
N, K = map(int, input().split())
A = list(map(int, input().split()))
#A = [i for i in range(1,2)] + [i for i in range(2,1001)] * 4
A.sort()

DP = [0 for k in range(K+1)] #和がkとなる部分集合の数
DP[0] = 1
for a in A:
  for k in range(K-a,-1,-1):
    DP[k+a] += DP[k]

"""
for k in range(1,2*K+1): #累積和へ変換
  DP[k] += DP[k-1]
print(DP)
"""
"""
if sum(DP[0:K]) == 2**N:
  print(N)
  sys.exit()
"""
#print(DP)  


def det(t):
  a = A[t]
  if a >= K:
    return False
  DP_rev = [0 for _ in range(K)] #戻すDP!!!
  ans = True
  for i in range(K):
    DP_rev[i] = DP[i] 
    if i-a >= 0:
      DP_rev[i] -= DP_rev[i-a]
    if i >= K-a and DP_rev[i] > 0:
      ans = False
      break
  del DP_rev
  return ans

lt = 0
rt = N-1
if not det(lt):
  print(0)
  sys.exit()
if det(rt):
  print(rt+1)
  sys.exit()

while rt - lt > 1:
  ct = (lt + rt) // 2
  if det(ct):
    lt = ct
  else:
    rt = ct
print(rt)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
N, K = map(int, input().split())
A = list(map(int, input().split()))
A.sort()

DP = [0 for k in range(K+1)] #和がkとなる部分集合の数
DP[0] = 1
for a in A:
  for k in range(K-a,-1,-1):
    DP[k+a] += DP[k]

"""
for k in range(1,2*K+1): #累積和へ変換
  DP[k] += DP[k-1]
print(DP)
"""
"""
if sum(DP[0:K]) == 2**N:
  print(N)
  sys.exit()
"""
#print(DP)  
ans = 0
DP_rev = [0 for _ in range(K)] #戻すDP!!!
for a in A:
  flag = True
  if a >= K: break
  for i in range(K):
    DP_rev[i] = DP[i] 
    if i-a >= 0:
      DP_rev[i] -= DP_rev[i-a]
    if i >= K-a and DP_rev[i] > 0:
      flag = False
      break
  if flag:
    ans += 1
  #print(a, DP_rev)
    
print(ans)
  
  
  
  


Fixed submission:
import sys
N, K = map(int, input().split())
A = list(map(int, input().split()))
#A = [i for i in range(1,2)] + [i for i in range(2,1001)] * 4
A.sort()

DP = [0 for k in range(K+1)] #和がkとなる部分集合の数
DP[0] = 1
for a in A:
  for k in range(K-a,-1,-1):
    DP[k+a] += DP[k]

"""
for k in range(1,2*K+1): #累積和へ変換
  DP[k] += DP[k-1]
print(DP)
"""
"""
if sum(DP[0:K]) == 2**N:
  print(N)
  sys.exit()
"""
#print(DP)  


def det(t):
  a = A[t]
  if a >= K:
    return False
  DP_rev = [0 for _ in range(K)] #戻すDP!!!
  ans = True
  for i in range(K):
    DP_rev[i] = DP[i] 
    if i-a >= 0:
      DP_rev[i] -= DP_rev[i-a]
    if i >= K-a and DP_rev[i] > 0:
      ans = False
      break
  del DP_rev
  return ans

lt = 0
rt = N-1
if not det(lt):
  print(0)
  sys.exit()
if det(rt):
  print(rt+1)
  sys.exit()

while rt - lt > 1:
  ct = (lt + rt) // 2
  if det(ct):
    lt = ct
  else:
    rt = ct
print(rt)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
N, K = map(int, input().split())
A = list(map(int, input().split()))
A.sort()

DP = [0 for k in range(K+1)] #和がkとなる部分集合の数
DP[0] = 1
for a in A:
  for k in range(K-a,-1,-1):
    DP[k+a] += DP[k]

"""
for k in range(1,2*K+1): #累積和へ変換
  DP[k] += DP[k-1]
print(DP)
"""
"""
if sum(DP[0:K]) == 2**N:
  print(N)
  sys.exit()
"""
#print(DP)  
ans = 0
DP_rev = [0 for _ in range(K)] #戻すDP!!!
for a in A:
  flag = True
  if a >= K: break
  for i in range(K):
    DP_rev[i] = DP[i] 
    if i-a >= 0:
      DP_rev[i] -= DP_rev[i-a]
    if i >= K-a and DP_rev[i] > 0:
      #print(i,a)
      flag = False
      break
  if flag:
    ans += 1
  #print(a, DP_rev)
    
print(ans)
  
  
  
  


Fixed submission:
import sys
N, K = map(int, input().split())
A = list(map(int, input().split()))
#A = [i for i in range(1,2)] + [i for i in range(2,1001)] * 4
A.sort()

DP = [0 for k in range(K+1)] #和がkとなる部分集合の数
DP[0] = 1
for a in A:
  for k in range(K-a,-1,-1):
    DP[k+a] += DP[k]

"""
for k in range(1,2*K+1): #累積和へ変換
  DP[k] += DP[k-1]
print(DP)
"""
"""
if sum(DP[0:K]) == 2**N:
  print(N)
  sys.exit()
"""
#print(DP)  


def det(t):
  a = A[t]
  if a >= K:
    return False
  DP_rev = [0 for _ in range(K)] #戻すDP!!!
  ans = True
  for i in range(K):
    DP_rev[i] = DP[i] 
    if i-a >= 0:
      DP_rev[i] -= DP_rev[i-a]
    if i >= K-a and DP_rev[i] > 0:
      ans = False
      break
  del DP_rev
  return ans

lt = 0
rt = N-1
if not det(lt):
  print(0)
  sys.exit()
if det(rt):
  print(rt+1)
  sys.exit()

while rt - lt > 1:
  ct = (lt + rt) // 2
  if det(ct):
    lt = ct
  else:
    rt = ct
print(rt)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
N, K = map(int, input().split())
A = list(map(int, input().split()))
A.sort()

DP = [0 for k in range(K+1)] #和がkとなる部分集合の数
DP[0] = 1
for a in A:
  for k in range(K-a,-1,-1):
    DP[k+a] += DP[k]

"""
for k in range(1,2*K+1): #累積和へ変換
  DP[k] += DP[k-1]
print(DP)
"""
"""
if sum(DP[0:K]) == 2**N:
  print(N)
  sys.exit()
"""
#print(DP)  
ans = 0
DP_rev = [0 for _ in range(K)] #戻すDP!!!
for a in A:
  flag = True
  if a >= K: continue
  for i in range(K):
    DP_rev[i] = DP[i] 
    if i-a >= 0:
      DP_rev[i] -= DP_rev[i-a]
    if i >= K-a and DP_rev[i] > 0:
      #print(i,a)
      flag = False
      break
  if flag:
    ans += 1
  #print(a, DP_rev)
    
print(ans)
  
  
  
  


Fixed submission:
import sys
N, K = map(int, input().split())
A = list(map(int, input().split()))
#A = [i for i in range(1,2)] + [i for i in range(2,1001)] * 4
A.sort()

DP = [0 for k in range(K+1)] #和がkとなる部分集合の数
DP[0] = 1
for a in A:
  for k in range(K-a,-1,-1):
    DP[k+a] += DP[k]

"""
for k in range(1,2*K+1): #累積和へ変換
  DP[k] += DP[k-1]
print(DP)
"""
"""
if sum(DP[0:K]) == 2**N:
  print(N)
  sys.exit()
"""
#print(DP)  


def det(t):
  a = A[t]
  if a >= K:
    return False
  DP_rev = [0 for _ in range(K)] #戻すDP!!!
  ans = True
  for i in range(K):
    DP_rev[i] = DP[i] 
    if i-a >= 0:
      DP_rev[i] -= DP_rev[i-a]
    if i >= K-a and DP_rev[i] > 0:
      ans = False
      break
  del DP_rev
  return ans

lt = 0
rt = N-1
if not det(lt):
  print(0)
  sys.exit()
if det(rt):
  print(rt+1)
  sys.exit()

while rt - lt > 1:
  ct = (lt + rt) // 2
  if det(ct):
    lt = ct
  else:
    rt = ct
print(rt)