Buggy python submission (verdict: Runtime Error):
import numpy as np
import itertools

N, K = map(int, input().split())
a = list(map(int, input().split()))
a.sort()

def check(i): #i番目のカードを使わなかった時
    dp = np.zeros(K, dtype = np.bool)
    #dp[k]はkが作れる時True
    #保持する情報はTrue/Falseのみで良いので1次元DPを上書きしていく(1回でまとめて)
    dp[0] = True
    for j in itertools.chain(a[:i], a[i+1:]): #i番目の無いカードセット
        dp[j:] = np.logical_or(dp[j:], dp[:-j]) #ある数jを使うと、j以降のもの(N-j)個と前から(N-j)個のどちらかがTrueのものは作れる
    return any(dp[K-a[i]:]) #K-a[i]~K-1のうちどれか作れるならa[i]は必要=True

left = -1
right = N
while right - left > 1:
    mid = (right + left)//2
    if check(mid):
        right = mid
    else:
        left = mid

print (ua)

Fixed submission:
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    a = a[:bisect_left(a, K)]
    n = len(a)


    import numpy as np
    def dp(omit):
        dp = np.zeros((n+1, K), dtype=np.bool)
        dp[0,0] = 1
        for i in range(n):
            # まとめて遷移
            dp[i+1] |= dp[i]
            if i != omit and a[i] < K:
                dp[i+1,a[i]:] |= dp[i,:K-a[i]]
        # 今回の値A[omit]を足してKに到達できるような部分和があれば、これは必要
        for j in range(max(0, K-a[omit]), K):
            if dp[n,j]:
                return True
        # なければ不要
        return False


    # def dp(num):
    #     dp = [[0]*(K) for _ in range(n)]
    #     dp[0][0] = 1
    #     b = a[:num]+a[num+1:] #N-1個
    #     for i in range(n-1):
    #         for j in range(K):
    #             if b[i]<=j:
    #                 dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
    #             else:
    #                 dp[i+1][j]=dp[i][j]
    #     return any(dp[n-1][K-a[num]:])

    left = 0
    right = n-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    a = a[:bisect_left(a, K)]
    n = len(a)
    def dp(num):
        dp = [[0]*(K) for _ in range(n)]
        dp[0][0] = 1
        b = a[:num]+a[num+1:] #N-1個
        for i in range(n-1):
            for j in range(K):
                if b[i]<=j:
                    dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
                else:
                    dp[i+1][j]=dp[i][j]
        return any(dp[n-1][K-a[num]:])

    left = 0
    right = n-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()


Fixed submission:
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    a = a[:bisect_left(a, K)]
    n = len(a)


    import numpy as np
    def dp(omit):
        dp = np.zeros((n+1, K), dtype=np.bool)
        dp[0,0] = 1
        for i in range(n):
            # まとめて遷移
            dp[i+1] |= dp[i]
            if i != omit and a[i] < K:
                dp[i+1,a[i]:] |= dp[i,:K-a[i]]
        # 今回の値A[omit]を足してKに到達できるような部分和があれば、これは必要
        for j in range(max(0, K-a[omit]), K):
            if dp[n,j]:
                return True
        # なければ不要
        return False


    # def dp(num):
    #     dp = [[0]*(K) for _ in range(n)]
    #     dp[0][0] = 1
    #     b = a[:num]+a[num+1:] #N-1個
    #     for i in range(n-1):
    #         for j in range(K):
    #             if b[i]<=j:
    #                 dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
    #             else:
    #                 dp[i+1][j]=dp[i][j]
    #     return any(dp[n-1][K-a[num]:])

    left = 0
    right = n-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    a = a[:bisect_left(a, K)]
    n = len(a)
    def dp(num):
        dp = [[0]*(K) for _ in range(n)]
        dp[0][0] = 1
        b = a[:num]+a[num+1:] #N-1個
        for i in range(n-1):
            for j in range(K):
                if b[i]<=j:
                    dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
                else:
                    dp[i+1][j]=dp[i][j]
        return any(dp[n-1][K-a[num]:])

    left = 0
    right = N-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()


Fixed submission:
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    a = a[:bisect_left(a, K)]
    n = len(a)


    import numpy as np
    def dp(omit):
        dp = np.zeros((n+1, K), dtype=np.bool)
        dp[0,0] = 1
        for i in range(n):
            # まとめて遷移
            dp[i+1] |= dp[i]
            if i != omit and a[i] < K:
                dp[i+1,a[i]:] |= dp[i,:K-a[i]]
        # 今回の値A[omit]を足してKに到達できるような部分和があれば、これは必要
        for j in range(max(0, K-a[omit]), K):
            if dp[n,j]:
                return True
        # なければ不要
        return False


    # def dp(num):
    #     dp = [[0]*(K) for _ in range(n)]
    #     dp[0][0] = 1
    #     b = a[:num]+a[num+1:] #N-1個
    #     for i in range(n-1):
    #         for j in range(K):
    #             if b[i]<=j:
    #                 dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
    #             else:
    #                 dp[i+1][j]=dp[i][j]
    #     return any(dp[n-1][K-a[num]:])

    left = 0
    right = n-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    def dp(num):
        dp = [[0]*(K) for _ in range(N)]
        dp[0][0] = 1
        b = a[:num]+a[num+1:] #N-1個
        for i in range(N-1):
            for j in range(K):
                if b[i]<=j:
                    dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
                else:
                    dp[i+1][j]=dp[i][j]
        return any(dp[N-1][K-a[num]:])

    left = 0
    right = N-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()


Fixed submission:
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    a = a[:bisect_left(a, K)]
    n = len(a)


    import numpy as np
    def dp(omit):
        dp = np.zeros((n+1, K), dtype=np.bool)
        dp[0,0] = 1
        for i in range(n):
            # まとめて遷移
            dp[i+1] |= dp[i]
            if i != omit and a[i] < K:
                dp[i+1,a[i]:] |= dp[i,:K-a[i]]
        # 今回の値A[omit]を足してKに到達できるような部分和があれば、これは必要
        for j in range(max(0, K-a[omit]), K):
            if dp[n,j]:
                return True
        # なければ不要
        return False


    # def dp(num):
    #     dp = [[0]*(K) for _ in range(n)]
    #     dp[0][0] = 1
    #     b = a[:num]+a[num+1:] #N-1個
    #     for i in range(n-1):
    #         for j in range(K):
    #             if b[i]<=j:
    #                 dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
    #             else:
    #                 dp[i+1][j]=dp[i][j]
    #     return any(dp[n-1][K-a[num]:])

    left = 0
    right = n-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    #input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    def dp(num):
        dp = [[0]*(K) for _ in range(N)]
        dp[0][0] = 1
        b = a[:num]+a[num+1:] #N-1個
        for i in range(N-1):
            for j in range(K):
                if b[i]<=j:
                    dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
                else:
                    dp[i+1][j]=dp[i][j]
        return any(dp[N-1][K-a[num]:])

    left = 0
    right = N-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()


Fixed submission:
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    a = a[:bisect_left(a, K)]
    n = len(a)


    import numpy as np
    def dp(omit):
        dp = np.zeros((n+1, K), dtype=np.bool)
        dp[0,0] = 1
        for i in range(n):
            # まとめて遷移
            dp[i+1] |= dp[i]
            if i != omit and a[i] < K:
                dp[i+1,a[i]:] |= dp[i,:K-a[i]]
        # 今回の値A[omit]を足してKに到達できるような部分和があれば、これは必要
        for j in range(max(0, K-a[omit]), K):
            if dp[n,j]:
                return True
        # なければ不要
        return False


    # def dp(num):
    #     dp = [[0]*(K) for _ in range(n)]
    #     dp[0][0] = 1
    #     b = a[:num]+a[num+1:] #N-1個
    #     for i in range(n-1):
    #         for j in range(K):
    #             if b[i]<=j:
    #                 dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
    #             else:
    #                 dp[i+1][j]=dp[i][j]
    #     return any(dp[n-1][K-a[num]:])

    left = 0
    right = n-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    #input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    def dp(num):
        dp = [[0]*(K) for _ in range(N)]
        dp[0][0] = 1
        b = a[:num]+a[num+1:] #N-1個
        for i in range(N-1):
            for j in range(K):
                if b[i]<=j:
                    dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
                else:
                    dp[i+1][j]=dp[i][j]
        return any(dp[N-1][K-a[num]:])

    left = 0
    right = N-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()


Fixed submission:
'''
1枚抜いてDPをN枚についてやれば良い, がこれでは間に合わない
そこで必要不要の境界を二分探索で探す
するとO(N^2K)→O(NKlogN)となって間に合う

もう1つの方法は分からない
'''

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    from math import floor, ceil
    #from operator import itemgetter

    #mod = 1000000007

    N,K = map(int, input().split())
    a = list(map(int, input().split()))
    a = sorted(a)
    a = a[:bisect_left(a, K)]
    n = len(a)


    import numpy as np
    def dp(omit):
        dp = np.zeros((n+1, K), dtype=np.bool)
        dp[0,0] = 1
        for i in range(n):
            # まとめて遷移
            dp[i+1] |= dp[i]
            if i != omit and a[i] < K:
                dp[i+1,a[i]:] |= dp[i,:K-a[i]]
        # 今回の値A[omit]を足してKに到達できるような部分和があれば、これは必要
        for j in range(max(0, K-a[omit]), K):
            if dp[n,j]:
                return True
        # なければ不要
        return False


    # def dp(num):
    #     dp = [[0]*(K) for _ in range(n)]
    #     dp[0][0] = 1
    #     b = a[:num]+a[num+1:] #N-1個
    #     for i in range(n-1):
    #         for j in range(K):
    #             if b[i]<=j:
    #                 dp[i+1][j] = dp[i][j-b[i]] or dp[i][j]
    #             else:
    #                 dp[i+1][j]=dp[i][j]
    #     return any(dp[n-1][K-a[num]:])

    left = 0
    right = n-1
    while left<=right:
        mid = (left+right)//2
        if dp(mid):
            right = mid-1
        else:
            left = mid+1
    print(right+1)

if __name__ == '__main__':
    main()