Buggy python submission (verdict: Time Limit Exceeded):
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time
 
sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7
 
def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def II(): return int(input())
def LS(): return input().split()
def S(): return input()
 
 
def main():
    n,k = LI()
    a = sorted(LI(), key=lambda x: -x)
    s = [set() for _ in range(k)]
    rs = set()
    for i in range(n):
        ai = a[i]
        if ai >= k:
            rs.add(i)
            continue
        for j in range(k-1,0,-1):
            sj = s[j]
            if sj:
                if j+ai < k:
                    s[j+ai] |= sj
                    s[j+ai].add(i)
                else:
                    rs |= sj
                    rs.add(i)
        s[ai].add(i)
 
    return n-len(rs)
 
 
print(main())

Fixed submission:
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time

sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7

def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def II(): return int(input())
def LS(): return input().split()
def S(): return input()


def main():
    n,k = LI()
    a = sorted(LI())
    sa = sum(a)
    if sa < k:
        return n
    if sa - a[0] < k:
        return 0

    mi = 0
    ma = n-1

    def f(m):
        am = a[m]
        if am >= k:
            return True

        t = [False] * (k-am)
        t[0] = True
        tl = len(t)
        for i in range(n):
            if i==m:
                continue
            ai = a[i]
            for j in range(tl-1,-1,-1):
                if not t[j]:
                    continue
                if k <= j+ai:
                    continue
                if j+ai >= tl:
                    return True

                t[j+ai] = True

        return False

    while mi < ma:
        m = (mi+ma) // 2
        if f(m):
            ma = m
        else:
            mi = m+1

    return mi


print(main())

Buggy python submission (verdict: Time Limit Exceeded):
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time

sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7

def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def II(): return int(input())
def LS(): return input().split()
def S(): return input()


def main():
    n,k = LI()
    a = sorted(LI())
    sa = sum(a)
    if sa < k:
        return n
    if sa - a[0] < k:
        return 0

    mi = 0
    ma = n-1

    def f(m):
        am = a[m]
        if am >= k:
            return True

        t = [False] * (k-am)
        t[0] = True
        tl = len(t)
        for i in range(n):
            if i==m:
                continue
            ai = a[i]
            for j in range(tl-1,-1,-1):
                if not t[j]:
                    continue
                if k <= j+ai:
                    continue
                if j+ai >= tl:
                    return True

                t[j+ai] = True

        return False

    while mi < ma:
        m = (mi+ma) // 2
        if f(m):
            ma = m
        else:
            mi = m+1

    return mi


print(main())


Fixed submission:
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time

sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7

def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def II(): return int(input())
def LS(): return input().split()
def S(): return input()


def main():
    n,k = LI()
    a = sorted(LI())
    sa = sum(a)
    if sa < k:
        return n
    if sa - a[0] < k:
        return 0

    mi = 0
    ma = n-1

    def f(m):
        am = a[m]
        if am >= k:
            return True

        t = [False] * (k-am)
        t[0] = True
        tl = len(t)
        for i in range(n):
            if i==m:
                continue
            ai = a[i]
            for j in range(tl-1,-1,-1):
                if not t[j]:
                    continue
                if k <= j+ai:
                    continue
                if j+ai >= tl:
                    return True

                t[j+ai] = True

        return False

    while mi < ma:
        m = (mi+ma) // 2
        if f(m):
            ma = m
        else:
            mi = m+1

    return mi


print(main())

Buggy python submission (verdict: Runtime Error):
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time

sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7

def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def II(): return int(input())
def LS(): return input().split()
def S(): return input()


def main():
    n,k = LI()
    a = sorted(LI(), key=lambda x: -x)
    ii = [2**i for i in range(k)]
    s = [0 for _ in range(k)]
    rs = 0
    for i in range(n):
        ai = a[i]
        iii = ii[i]
        if ai >= k:
            rs |= iii
            continue
        for j in range(k-1,0,-1):
            sj = s[j]
            if sj:
                if j+ai < k:
                    s[j+ai] |= sj
                    s[j+ai] |= iii
                else:
                    rs |= sj
                    rs |= iii
        s[ai] |= iii

    r = n
    for iii in ii:
        if (rs & iii) > 0:
            r -= 1

    return r


print(main())


Fixed submission:
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time

sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7

def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def II(): return int(input())
def LS(): return input().split()
def S(): return input()


def main():
    n,k = LI()
    a = sorted(LI())
    sa = sum(a)
    if sa < k:
        return n
    if sa - a[0] < k:
        return 0

    mi = 0
    ma = n-1

    def f(m):
        am = a[m]
        if am >= k:
            return True

        t = [False] * (k-am)
        t[0] = True
        tl = len(t)
        for i in range(n):
            if i==m:
                continue
            ai = a[i]
            for j in range(tl-1,-1,-1):
                if not t[j]:
                    continue
                if k <= j+ai:
                    continue
                if j+ai >= tl:
                    return True

                t[j+ai] = True

        return False

    while mi < ma:
        m = (mi+ma) // 2
        if f(m):
            ma = m
        else:
            mi = m+1

    return mi


print(main())

Buggy python submission (verdict: Time Limit Exceeded):
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time

sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7

def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def II(): return int(input())
def LS(): return input().split()
def S(): return input()


def main():
    n,k = LI()
    a = sorted(LI(), key=lambda x: -x)
    s = [set() for _ in range(k)]
    rs = set()
    for i in range(n):
        ai = a[i]
        if ai >= k:
            rs.add(i)
            continue
        for j in range(k-1,0,-1):
            sj = s[j]
            if sj:
                if j+ai < k:
                    s[j+ai] |= sj
                    s[j+ai].add(i)
                else:
                    rs |= sj
                    rs.add(i)
        s[ai].add(i)

    return n-len(rs)


print(main())


Fixed submission:
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time

sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7

def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def II(): return int(input())
def LS(): return input().split()
def S(): return input()


def main():
    n,k = LI()
    a = sorted(LI())
    sa = sum(a)
    if sa < k:
        return n
    if sa - a[0] < k:
        return 0

    mi = 0
    ma = n-1

    def f(m):
        am = a[m]
        if am >= k:
            return True

        t = [False] * (k-am)
        t[0] = True
        tl = len(t)
        for i in range(n):
            if i==m:
                continue
            ai = a[i]
            for j in range(tl-1,-1,-1):
                if not t[j]:
                    continue
                if k <= j+ai:
                    continue
                if j+ai >= tl:
                    return True

                t[j+ai] = True

        return False

    while mi < ma:
        m = (mi+ma) // 2
        if f(m):
            ma = m
        else:
            mi = m+1

    return mi


print(main())