Buggy python submission (verdict: Runtime Error):
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
# f=[0for _ in range(k+1)]
# for i in range(k+1):
#     for j in range(n):
#         f[i]+=a[j]^i
# f.sort(key=lambda x:-x)
a.sort(key=lambda x:-x)
powSize=math.ceil(math.log(k+1)/math.log(2))
digitCnt=[0for _ in range(powSize)]
for i in range(n):
    for j in range(powSize):
        if ( a[i]&(1<<j) )>0:
            digitCnt[j]+=1
# ansNum=[0]
# for i in range(powSize-1,-1,-1):
#     if 2*digitCnt[i]<n: # digitCnt[i]<n-digitCnt[i]
#         for j in range(len(ansNum)):
#             ansNum[j]+=(1<<i)
#             if ansNum[j]>k:
#                 if ( ansNum[j]&(1<<(i+1)) )>0:
#                     ansNum.append(ansNum[j]-(1<<(i+1)))
#                 ansNum[j]-=(1<<i)
    # print(i,ansNum)

ansNum=[0for _ in range(powSize)]
for i in range(powSize):
    ansNum[i]=( k&(((1<<powSize)-1)<<(i+1)) )
    for j in range(i):
        if 2*digitCnt[j]<n:
            ansNum[i]+=(1<<j)

ans=[0for _ in range(len(ansNum))]
for i in range(n):
    for j in range(len(ansNum)):
        if ansNum[j]<=k:
            ans[j]+=(a[i]^ansNum[j])
# print(a[0],powSize)
# print(digitCnt)
# print(ansNum,ans)
ans.sort(key=lambda x:-x)
print(ans[0])


Fixed submission:
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
# f=[0for _ in range(k+1)]
# for i in range(k+1):
#     for j in range(n):
#         f[i]+=a[j]^i
# f.sort(key=lambda x:-x)
a.sort(key=lambda x:-x)
powSize=math.ceil(math.log(k+1)/math.log(2))
digitCnt=[0for _ in range(powSize)]
for i in range(n):
    for j in range(powSize):
        if ( a[i]&(1<<j) )>0:
            digitCnt[j]+=1
ansNum=[0]
for i in range(powSize-1,-1,-1):
    if 2*digitCnt[i]<n: # digitCnt[i]<n-digitCnt[i]
        for j in range(len(ansNum)):
            ansNum[j]+=(1<<i)
            if ansNum[j]>k:
                if ( ansNum[j]&(1<<(i+1)) )>0:
                    ansNum.append(ansNum[j]-(1<<(i+1)))
                ansNum[j]-=(1<<i)
    # print(i,ansNum)

# ansNum=[0for _ in range(powSize)]
# for i in range(powSize):
#     ansNum[i]=( k&(((1<<powSize)-1)<<(i+1)) )
#     for j in range(i):
#         if 2*digitCnt[j]<n:
#             ansNum[i]+=(1<<j)

ans=[0for _ in range(len(ansNum))]
for i in range(n):
    for j in range(len(ansNum)):
        if ansNum[j]<=k:
            ans[j]+=(a[i]^ansNum[j])
# print(a[0],powSize)
# print(digitCnt)
# print(ansNum,ans)
ans.sort(key=lambda x:-x)
print(ans[0])

Buggy python submission (verdict: Runtime Error):
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
# f=[0for _ in range(k+1)]
# for i in range(k+1):
#     for j in range(n):
#         f[i]+=a[j]^i
# f.sort(key=lambda x:-x)
a.sort(key=lambda x:-x)
powSize=math.ceil(math.log(k)/math.log(2))+1
digitCnt=[0for _ in range(powSize)]
for i in range(n):
    for j in range(powSize):
        if ( a[i]&(1<<j) )>0:
            digitCnt[j]+=1
# ansNum=[0]
# for i in range(powSize-1,-1,-1):
#     if 2*digitCnt[i]<n: # digitCnt[i]<n-digitCnt[i]
#         for j in range(len(ansNum)):
#             ansNum[j]+=(1<<i)
#             if ansNum[j]>k:
#                 if ( ansNum[j]&(1<<(i+1)) )>0:
#                     ansNum.append(ansNum[j]-(1<<(i+1)))
#                 ansNum[j]-=(1<<i)
    # print(i,ansNum)

ansNum=[0for _ in range(powSize)]
for i in range(powSize):
    ansNum[i]=( k&(((1<<powSize)-1)<<(i+1)) )
    for j in range(i):
        if 2*digitCnt[j]<n:
            ansNum[i]+=(1<<j)

ans=[0for _ in range(len(ansNum))]
for i in range(n):
    for j in range(len(ansNum)):
        if ansNum[j]<=k:
            ans[j]+=(a[i]^ansNum[j])
# print(a[0],powSize)
# print(digitCnt)
# print(ansNum,ans)
ans.sort(key=lambda x:-x)
print(ans[0])


Fixed submission:
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
# f=[0for _ in range(k+1)]
# for i in range(k+1):
#     for j in range(n):
#         f[i]+=a[j]^i
# f.sort(key=lambda x:-x)
a.sort(key=lambda x:-x)
powSize=math.ceil(math.log(k+1)/math.log(2))
digitCnt=[0for _ in range(powSize)]
for i in range(n):
    for j in range(powSize):
        if ( a[i]&(1<<j) )>0:
            digitCnt[j]+=1
ansNum=[0]
for i in range(powSize-1,-1,-1):
    if 2*digitCnt[i]<n: # digitCnt[i]<n-digitCnt[i]
        for j in range(len(ansNum)):
            ansNum[j]+=(1<<i)
            if ansNum[j]>k:
                if ( ansNum[j]&(1<<(i+1)) )>0:
                    ansNum.append(ansNum[j]-(1<<(i+1)))
                ansNum[j]-=(1<<i)
    # print(i,ansNum)

# ansNum=[0for _ in range(powSize)]
# for i in range(powSize):
#     ansNum[i]=( k&(((1<<powSize)-1)<<(i+1)) )
#     for j in range(i):
#         if 2*digitCnt[j]<n:
#             ansNum[i]+=(1<<j)

ans=[0for _ in range(len(ansNum))]
for i in range(n):
    for j in range(len(ansNum)):
        if ansNum[j]<=k:
            ans[j]+=(a[i]^ansNum[j])
# print(a[0],powSize)
# print(digitCnt)
# print(ansNum,ans)
ans.sort(key=lambda x:-x)
print(ans[0])

Buggy python submission (verdict: Runtime Error):
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
# f=[0for _ in range(k+1)]
# for i in range(k+1):
#     for j in range(n):
#         f[i]+=a[j]^i
# f.sort(key=lambda x:-x)
a.sort(key=lambda x:-x)
powSize=math.ceil(math.log(k)/math.log(2))+1
digitCnt=[0for _ in range(powSize)]
for i in range(n):
    for j in range(powSize):
        if (a[i]&(1<<j))>0:
            digitCnt[j]+=1
ansNum=[0]
for i in range(powSize-1,-1,-1):
    if 2*digitCnt[i]<n: # digitCnt[i]<n-digitCnt[i]
        for j in range(len(ansNum)):
            ansNum[j]+=(1<<i)
            if ansNum[j]>k:
                if (ansNum[j]&(1<<(i+1)))>0:
                    ansNum.append(ansNum[j]-(1<<(i+1)))
                ansNum[j]-=(1<<i)
    # print(i,ansNum)

ans=[0for _ in range(len(ansNum))]
for i in range(n):
    for j in range(len(ansNum)):
        ans[j]+=(a[i]^ansNum[j])
# print(a[0],powSize)
# print(digitCnt)
# print(ansNum,ans)
ans.sort(key=lambda x:-x)
print(ans[0])


Fixed submission:
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
# f=[0for _ in range(k+1)]
# for i in range(k+1):
#     for j in range(n):
#         f[i]+=a[j]^i
# f.sort(key=lambda x:-x)
a.sort(key=lambda x:-x)
powSize=math.ceil(math.log(k+1)/math.log(2))
digitCnt=[0for _ in range(powSize)]
for i in range(n):
    for j in range(powSize):
        if ( a[i]&(1<<j) )>0:
            digitCnt[j]+=1
ansNum=[0]
for i in range(powSize-1,-1,-1):
    if 2*digitCnt[i]<n: # digitCnt[i]<n-digitCnt[i]
        for j in range(len(ansNum)):
            ansNum[j]+=(1<<i)
            if ansNum[j]>k:
                if ( ansNum[j]&(1<<(i+1)) )>0:
                    ansNum.append(ansNum[j]-(1<<(i+1)))
                ansNum[j]-=(1<<i)
    # print(i,ansNum)

# ansNum=[0for _ in range(powSize)]
# for i in range(powSize):
#     ansNum[i]=( k&(((1<<powSize)-1)<<(i+1)) )
#     for j in range(i):
#         if 2*digitCnt[j]<n:
#             ansNum[i]+=(1<<j)

ans=[0for _ in range(len(ansNum))]
for i in range(n):
    for j in range(len(ansNum)):
        if ansNum[j]<=k:
            ans[j]+=(a[i]^ansNum[j])
# print(a[0],powSize)
# print(digitCnt)
# print(ansNum,ans)
ans.sort(key=lambda x:-x)
print(ans[0])

Buggy python submission (verdict: Runtime Error):
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
# f=[0for _ in range(k+1)]
# for i in range(k+1):
#     for j in range(n):
#         f[i]+=a[j]^i
# f.sort(key=lambda x:-x)
a.sort(key=lambda x:-x)
powSize=math.ceil(math.log(k)/math.log(2))+1
digitCnt=[0for _ in range(powSize)]
for i in range(n):
    for j in range(powSize):
        if (a[i]&(1<<j))>0:
            digitCnt[j]+=1
ansNum=[0]
for i in range(powSize-1,-1,-1):
    if 2*digitCnt[i]<n: # digitCnt[i]<n-digitCnt[i]
        for j in range(len(ansNum)):
            ansNum[j]+=(1<<i)
            if ansNum[j]>k:
                if ansNum[j]&(1<<(i+1))>0:
                    ansNum.append(ansNum[j]-(1<<(i+1)))
                ansNum[j]-=(1<<i)
    # print(i,ansNum)

ans=[0for _ in range(len(ansNum))]
for i in range(n):
    for j in range(len(ansNum)):
        ans[j]+=(a[i]^ansNum[j])
# print(a[0],powSize)
# print(digitCnt)
# print(ansNum,ans)
ans.sort(key=lambda x:-x)
print(ans[0])


Fixed submission:
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
# f=[0for _ in range(k+1)]
# for i in range(k+1):
#     for j in range(n):
#         f[i]+=a[j]^i
# f.sort(key=lambda x:-x)
a.sort(key=lambda x:-x)
powSize=math.ceil(math.log(k+1)/math.log(2))
digitCnt=[0for _ in range(powSize)]
for i in range(n):
    for j in range(powSize):
        if ( a[i]&(1<<j) )>0:
            digitCnt[j]+=1
ansNum=[0]
for i in range(powSize-1,-1,-1):
    if 2*digitCnt[i]<n: # digitCnt[i]<n-digitCnt[i]
        for j in range(len(ansNum)):
            ansNum[j]+=(1<<i)
            if ansNum[j]>k:
                if ( ansNum[j]&(1<<(i+1)) )>0:
                    ansNum.append(ansNum[j]-(1<<(i+1)))
                ansNum[j]-=(1<<i)
    # print(i,ansNum)

# ansNum=[0for _ in range(powSize)]
# for i in range(powSize):
#     ansNum[i]=( k&(((1<<powSize)-1)<<(i+1)) )
#     for j in range(i):
#         if 2*digitCnt[j]<n:
#             ansNum[i]+=(1<<j)

ans=[0for _ in range(len(ansNum))]
for i in range(n):
    for j in range(len(ansNum)):
        if ansNum[j]<=k:
            ans[j]+=(a[i]^ansNum[j])
# print(a[0],powSize)
# print(digitCnt)
# print(ansNum,ans)
ans.sort(key=lambda x:-x)
print(ans[0])

Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
a=list(map(int,input().split()))
f=[0for _ in range(k+1)]
for i in range(k+1):
    for j in range(n):
        f[i]+=a[j]^i
f.sort(key=lambda x:-x)
print(f[0])


Fixed submission:
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
# f=[0for _ in range(k+1)]
# for i in range(k+1):
#     for j in range(n):
#         f[i]+=a[j]^i
# f.sort(key=lambda x:-x)
a.sort(key=lambda x:-x)
powSize=math.ceil(math.log(k+1)/math.log(2))
digitCnt=[0for _ in range(powSize)]
for i in range(n):
    for j in range(powSize):
        if ( a[i]&(1<<j) )>0:
            digitCnt[j]+=1
ansNum=[0]
for i in range(powSize-1,-1,-1):
    if 2*digitCnt[i]<n: # digitCnt[i]<n-digitCnt[i]
        for j in range(len(ansNum)):
            ansNum[j]+=(1<<i)
            if ansNum[j]>k:
                if ( ansNum[j]&(1<<(i+1)) )>0:
                    ansNum.append(ansNum[j]-(1<<(i+1)))
                ansNum[j]-=(1<<i)
    # print(i,ansNum)

# ansNum=[0for _ in range(powSize)]
# for i in range(powSize):
#     ansNum[i]=( k&(((1<<powSize)-1)<<(i+1)) )
#     for j in range(i):
#         if 2*digitCnt[j]<n:
#             ansNum[i]+=(1<<j)

ans=[0for _ in range(len(ansNum))]
for i in range(n):
    for j in range(len(ansNum)):
        if ansNum[j]<=k:
            ans[j]+=(a[i]^ansNum[j])
# print(a[0],powSize)
# print(digitCnt)
# print(ansNum,ans)
ans.sort(key=lambda x:-x)
print(ans[0])