Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

N = int(input())
S = input()

memo = np.array([0]*N)

for i in range(N):
    if S[i] == "E":
        memo[:i] -= 1
    else:
        memo[i+1:] -= 1

print(max(memo) * (-1))


Fixed submission:
import numpy as np

N = int(input())
S = input()
left_W = 0
right_E = S.count("E")
ans = N

for i in range(N):
    if S[i] == "W":
        ans = min(ans, left_W+right_E)
        left_W += 1
    else:
        right_E -= 1
        ans = min(ans, left_W+right_E)

print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
for _ in range(N):
    ti, xi, yi = map(int, input().split())
	assert N != 1
	print(114514)    


Fixed submission:
N = int(input())
ans = "Yes"
t_before = 0
x_before, y_before = 0, 0

for _ in range(N):
    ti, xi, yi = map(int, input().split())
    t_dist = abs(ti - t_before)
    x_dist = abs(xi - x_before)
    y_dist = abs(yi - y_before)
    xy_dist = x_dist + y_dist
    if xy_dist <= t_dist:
        if (t_dist % 2 == 0 and xy_dist % 2 == 0) or (t_dist % 2 == 1 and xy_dist % 2 == 1):
            t_before = ti
            x_before = xi
            y_before = yi
            continue
        else:
            ans = "No"
            break
    else:
        ans = "No"
        break

print(ans)

Buggy python submission (verdict: Runtime Error):
assert N==1
print(114515)

Fixed submission:
N = int(input())
ans = "Yes"
t_before = 0
x_before, y_before = 0, 0

for _ in range(N):
    ti, xi, yi = map(int, input().split())
    t_dist = abs(ti - t_before)
    x_dist = abs(xi - x_before)
    y_dist = abs(yi - y_before)
    xy_dist = x_dist + y_dist
    if xy_dist <= t_dist:
        if (t_dist % 2 == 0 and xy_dist % 2 == 0) or (t_dist % 2 == 1 and xy_dist % 2 == 1):
            t_before = ti
            x_before = xi
            y_before = yi
            continue
        else:
            ans = "No"
            break
    else:
        ans = "No"
        break

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
ans = 0

set_A = set(A)

for num in set_A:
    count_num = A.count(num)

    #望ましい数より大きい場合
    if count_num >= num:
        ans += count_num - num
    #望ましい数より小さい場合は0まで削る。
    else:
        ans += count_num

print(ans)


Fixed submission:
N = int(input())
A = sorted(list(map(int, input().split())))
ans = 0
before_num = A[0]
num_count = 1
A.append(-1)#一番大きい数を計算するとき用

for num in A[1:]:
    if num == before_num:
        num_count += 1
    else:
        if num_count >= before_num:
            ans += num_count - before_num
        else:
            ans += num_count
        num_count = 1
        before_num = num

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
ans = 0

max_A = max(A)
set_A = set(A)

for num in set_A:
    count_num = A.count(num)

    #望ましい数より大きい場合
    if count_num >= num:
        ans += count_num - num
    #望ましい数より小さい場合は0まで削る。
    else:
        ans += count_num

print(ans)


Fixed submission:
N = int(input())
A = sorted(list(map(int, input().split())))
ans = 0
before_num = A[0]
num_count = 1
A.append(-1)#一番大きい数を計算するとき用

for num in A[1:]:
    if num == before_num:
        num_count += 1
    else:
        if num_count >= before_num:
            ans += num_count - before_num
        else:
            ans += num_count
        num_count = 1
        before_num = num

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
A = list(map(int, input().split()))
set_A = set(A)
len_types = len(set_A)
memo = [0] * N
ans = 0

for num in set_A:
    count_num = A.count(num)
    memo[num-1] = count_num

memo.sort()

for i in memo[:N-K]:
    ans += i

# while len_types > K:
#     ans += heapq.heappop(memo)
#     len_types -= 1

print(ans)


Fixed submission:
N, K = map(int, input().split())
A = list(map(int, input().split()))
memo = [0] * N
ans = 0

for a in A:
    memo[a-1] += 1
    
memo.sort()

for i in memo[:N-K]:
    ans += i

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import heapq

N, K = map(int, input().split())
A = list(map(int, input().split()))
set_A = set(A)
len_types = len(set_A)
memo = []
ans = 0

for num in set_A:
    count_num = A.count(num)
    heapq.heappush(memo, count_num)

while len_types > K:
    ans += heapq.heappop(memo)
    len_types -= 1

print(ans)


Fixed submission:
N, K = map(int, input().split())
A = list(map(int, input().split()))
memo = [0] * N
ans = 0

for a in A:
    memo[a-1] += 1
    
memo.sort()

for i in memo[:N-K]:
    ans += i

print(ans)
Buggy python submission (verdict: Runtime Error):
C1 = list(input().split())
C2 = list(input().split())

if C1[0] == C2[2] and C1[1] == C2[1] and C1[2] == C2[0]:
    print("YES")
else:
    print("NO")


Fixed submission:
C1 = list(input())
C2 = list(input())

if C1[0] == C2[2] and C1[1] == C2[1] and C1[2] == C2[0]:
    print("YES")
else:
    print("NO")
Buggy python submission (verdict: Runtime Error):
S = list(input())
N = len(S)
T = input()
M = len(T)

ans = "UNRESTORABLE"

def changehatena(S):
    S = "".join(S)
    S = S.replace("?", "a")
    return S

def check_after(S, i):
    try:
        if S[i+1] == T[-1]:
            return True
        else:
            return False
    except:
        return False

def check_before(S, i):
    if i-M+2 < 0:
        return False
    try:
        if S[i-M+2] == T[0]:
            return True
        else:
            return False
    except:
        return False


for i in reversed(range(N)):
    hatena_num = 0
    if S[i] == "?":
        hatena_num = 1
        for j in reversed(range(i)):
            if S[j] == "?":
                hatena_num += 1
            else:
                break
        if hatena_num > M-1:
            if check_after(S, i):
                # print("check1")
                tmp = 0
                for k in reversed(range(M-1)):
                    S[i-tmp] = T[k]
                    tmp += 1
                ans = changehatena(S)
                break
            elif check_before(S, i):
                # print("check2")
                tmp = 0
                for k in reversed(range(M-1)):
                    S[i-tmp] = T[k]
                    tmp += 1
                ans = changehatena(S)
                break
            tmp = 0
            for k in reversed(range(M)):
                S[i-tmp] = T[k]
                tmp += 1
            ans = changehatena(S)
            break
        elif hatena_num == M-1:
            try:
                if S[i+1] == T[-1]:
                    # print("check3")
                    tmp = 0
                    for k in reversed(range(M-1)):
                        S[i-tmp] = T[k]
                        tmp += 1
                    ans = changehatena(S)
                    break
            except:
                pass
            try:
                if S[i-M+1] == T[0]:
                    # print("check4")
                    tmp = 0
                    for k in reversed(range(1, M)):
                        S[i-tmp] = T[k]
                        tmp += 1
                    ans = changehatena(S)
                    break
            except:
                pass
        elif hatena_num == M-2:
            raise
            if check_after(S, i) and check_before(S, i):
                S[i-M+3:i+1] = T[1:-1]
                ans = changehatena(S)
                break
print(ans)


Fixed submission:
import re
S = str(input())
T = str(input())
S = S.replace("?",".")

for i in range(len(S)-len(T),-1,-1):
  if re.match(S[i:i+len(T)],T):
    S = S.replace('.','a')
    print(S[:i]+T+S[i+len(T):])
    exit()

print('UNRESTORABLE')
Buggy python submission (verdict: Runtime Error):
A, B, C = map(int, input().split())

if A[-1] == B[0] and B[-1] == C[0]:
    print("Yes")
else:
    print("No")


Fixed submission:
A, B, C = input().split()

if A[-1] == B[0] and B[-1] == C[0]:
    print("YES")
else:
    print("NO")
Buggy python submission (verdict: Runtime Error):
A, B = map(int, input().split())

if A == B:
    print("H")
else:
    print("D")

Fixed submission:
A, B = input().split()

if A == B:
    print("H")
else:
    print("D")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
mod = 10**9+7

for i in range(1, N):
    N *= i % mod

print(N % mod)

Fixed submission:
N = int(input())
mod = 10**9+7

for i in range(1, N):
    N *= i
    N %= mod

print(N % mod)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
mod = 10**9+7

for i in range(1, N):
    N *= i % mod

print(N % mod)


Fixed submission:
N = int(input())
mod = 10**9+7

for i in range(1, N):
    N *= i
    N %= mod

print(N % mod)
Buggy python submission (verdict: Time Limit Exceeded):
K, S = map(int, input().split())
ans = 0

for x in range(K+1):
    for y in range(K+1):
        for z in range(K+1):
            if x+y+z == S:
                ans += 1

print(ans)


Fixed submission:
K, S = map(int, input().split())
ans = 0

for x in range(K+1):
    for y in range(K+1):
        z = S - x - y
        if 0 <= z and z <= K:
            ans += 1

print(ans)
Buggy python submission (verdict: Runtime Error):
A, B, C = map(int, input().split())

print(A[0]+B[0]+C[0])


Fixed submission:
A, B, C = input().split()

print(A[0]+B[0]+C[0])
Buggy python submission (verdict: Runtime Error):
A, B, H = map(int, input().split())

print((A+B)*H//2)


Fixed submission:
A = int(input())
B = int(input())
H = int(input())

print((A+B)*H//2)
Buggy python submission (verdict: Runtime Error):
SA = list(input())
SB = list(input())
SC = list(input())

turn = SA.pop(0)
while True:
    if turn == "a":
        turn = SA.pop(0)
    elif turn == "b":
        turn = SB.pop(0)
    elif turn == "c":
        turn = SC.pop(0)

    if turn == "a":
        if not SA:
            print("A")
            break
    elif turn == "b":
        if not SB:
            print("B")
            break
    elif turn == "c":
        if not SC:
            print("C")
            break


Fixed submission:
SA = list(input())
SB = list(input())
SC = list(input())

turn = SA.pop(0)
while True:
    if turn == "a":
        try:
            turn = SA.pop(0)
        except:
            print("A")
            break
    elif turn == "b":
        try:
           turn = SB.pop(0)
        except:
            print("B")
            break
    elif turn == "c":
        try:
            turn = SC.pop(0)
        except:
            print("C")
            break
Buggy python submission (verdict: Runtime Error):
N = int(input())
y = x % 10

if y == 3:
  print('bon')
elif y == 0:
  print('pon')
elif y == 1:
  print('pon')
elif y == 6:
  print('pon')
elif y == 8:
  print('pon')
else:
  print('hon')


Fixed submission:
x = int(input())
y = x%10
if y == 3:
  print("bon")
elif y == 0:
  print("pon")
elif y == 1:
  print("pon")
elif y == 6:
  print("pon")
elif y == 8:
  print("pon")
else:
  print("hon")

Buggy python submission (verdict: Runtime Error):
N = int(input())
y == N % 10

if y == 3:
  print('bon')
elif y == 1:
  print('pon')
elif y == 6:
  print('pon')
elif y == 8:
  print('pon')
elif y == 0:
  print('pon')
else:
  print('hon')

Fixed submission:
x = int(input())
y = x%10
if y == 3:
  print("bon")
elif y == 0:
  print("pon")
elif y == 1:
  print("pon")
elif y == 6:
  print("pon")
elif y == 8:
  print("pon")
else:
  print("hon")

Buggy python submission (verdict: Runtime Error):
#入力
N = int.input()
#出力
if N % 10 == 3:
  print('bon')
elif N % 10 == 1:
  print('pon')
elif N % 10 == 6:
  print('pon')
elif N % 10 == 8:
  print('pon')
elif N % 10 == 0:
  print('pon')
else:
  print('hon')

Fixed submission:
x = int(input())
y = x%10
if y == 3:
  print("bon")
elif y == 0:
  print("pon")
elif y == 1:
  print("pon")
elif y == 6:
  print("pon")
elif y == 8:
  print("pon")
else:
  print("hon")

Buggy python submission (verdict: Runtime Error):
#入力
N = int.input()
#出力
if N % 10 == 2, 4, 5, 7, 9
  print('hon')
elif N % 10 == 0, 1, 6, 8
  print('pon')
else:
  print('bon')

Fixed submission:
x = int(input())
y = x%10
if y == 3:
  print("bon")
elif y == 0:
  print("pon")
elif y == 1:
  print("pon")
elif y == 6:
  print("pon")
elif y == 8:
  print("pon")
else:
  print("hon")
Buggy python submission (verdict: Runtime Error):
A, B, h, m = map(int, input().split())

inport math

c = abs(h * 30 - m * 6 + m * 0.5)

print(math.sqrt(A ** 2 + B ** 2 - 2 * A * B * math.cos(math.radians(c))))

Fixed submission:
import math

A, B, h, m = map(int, input().split())

c = abs(h * 30 - m * 6 + m * 0.5)

print(math.sqrt(A ** 2 + B ** 2 - 2 * A * B * math.cos(math.radians(c))))

Buggy python submission (verdict: Runtime Error):
A, B, C, D == map(int, input().split())
E = C * 30 + D * 0.5
F = D * 6
G = E - F
H = abs(G)
inport math
CosH = math.cos(math.radians(H))
N = A ** 2 + B ** 2 - 2 * A * B * CosH
AN = math.sqrt(N)

Fixed submission:
import math

A, B, h, m = map(int, input().split())

c = abs(h * 30 - m * 6 + m * 0.5)

print(math.sqrt(A ** 2 + B ** 2 - 2 * A * B * math.cos(math.radians(c))))
Buggy python submission (verdict: Runtime Error):
S = str.input()
T = str.input()
U = len(S)
V = len(T)
X = T - S
if T.startwith(S) and X = 1:
  print('Yes')
else:
  print('No')


Fixed submission:
s = input()
t = input()
if s == t[:-1]:
  print('Yes')
else:
  print('No')

Buggy python submission (verdict: Runtime Error):
S = str.input()
T = str.input()
U = len(S)
V = len(T)
X = T - S
if T.startwith(S) and X = 1:
  print(Yes)
else:
  print(No)

Fixed submission:
s = input()
t = input()
if s == t[:-1]:
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Runtime Error):
a, b, c, k = map(int, input().split())

ans = 0
while a > 0:
  a - 1
  k - 1
  ans += 1
  if k = 0:
    brake
  if a = 0:
    brake
while b > 0:
  b - 1
  k - 1
  ans += 0
  if k = 0:
    brake
  if b = 0:
    brake
while c > 0:
  c - 1
  k - 1
  ans -= 1
  if k = 0:
    brake
  if c = 0:
    brake
  

Fixed submission:
A, B, C, K =map(int, input().split())
print(min(A, K) - max(0, K - A - B))
Buggy python submission (verdict: Runtime Error):
n = int(input())
k = int(input())
x = int(input())
y = int(input())

print(x*n-max((x-y)*(n-k),0))


Fixed submission:
n = int(input())
ans = 0
for i in range(1,n+1):
  ans += i

print(ans)

Buggy python submission (verdict: Runtime Error):
n = int(input())
for i in range(1,n+1):
  ans += i
print(ans)

Fixed submission:
n = int(input())
ans = 0
for i in range(1,n+1):
  ans += i

print(ans)

Buggy python submission (verdict: Runtime Error):
n = int(input())
print((n*(n+1)/2)

Fixed submission:
n = int(input())
ans = 0
for i in range(1,n+1):
  ans += i

print(ans)
Buggy python submission (verdict: Runtime Error):
s = input()
if s = "7 5 5" or "5 7 5" or "5 5 7":
  print("YES")
else:
  print("NO")


Fixed submission:
s = input()
if s == "7 5 5" or s == "5 7 5" or s == "5 5 7":
  print("YES")
else:
  print("NO")
Buggy python submission (verdict: Runtime Error):
p=list(map(int,input().split()))
x=p.get(0)
print(x)

Fixed submission:
p=list(map(int,input().split()))
x=p.index(0)
print(x+1)
Buggy python submission (verdict: Runtime Error):
l1=[2,4,5,7,9]
l2=[0,1,6,8]
l3=[3]
N=int(input())
if str(N[-1]) in l1:
  print('hon')
elif str(N[-1]) in l2:
  print('pon')
elif str(N[-1]) in l3:
  print('bon')

Fixed submission:
l1=['2','4','5','7','9']
l2=['0','1','6','8']
l3=['3']
N=str(input())
if N[-1] in l1:
  print('hon')
elif N[-1] in l2:
  print('pon')
elif N[-1] in l3:
  print('bon')
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = map(int, input().split())
sum = 1
for x in a:
  sum *= a
  if sum > 1e18:
    sum = -1
    break
print(sum)


Fixed submission:
n = int(input())
a = map(int, input().split())
sum = 1
for x in a:
  sum *= x
  if sum > 1e18:
    sum = -1
    break
if 0 in a:
  sum = 0
print(sum)
Buggy python submission (verdict: Runtime Error):
a = input()
A = int(a)
b = input()
B = int(b)
c = A * B
print(c)

Fixed submission:
A, B = input().strip().split()
A, B = [int(A), int(B)]
print(A * B)

Buggy python submission (verdict: Runtime Error):
a = input("A")
A = int(a)
b = input("B")
B = int(b)
c = A * B
print(c)


Fixed submission:
A, B = input().strip().split()
A, B = [int(A), int(B)]
print(A * B)
Buggy python submission (verdict: Runtime Error):
N, Q = map(int, input().split())


As = {}
Maxs = {}
Enji = [0 for n in range(N)]
EnjiRate = [0 for n in range(N)]

for i in range(N):
    A, B = map(int, input().split())
    if B in As:
        As[B].append(A)
        Maxs[B] = max(Maxs[B], A)
    else:
        As[B] = [A]
        Maxs[B] = A
    EnjiRate[i] = A
    Enji[i] = B

MaxHist = {}
for k, v in Maxs.items():
    if v in MaxHist:
        MaxHist[v].add(k)
    else:
        MaxHist[v] = set([k])


def addMap(target, key, val):
    if key in target:
        target[key].add(val)
    else:
        target[key] = set([val])


def removeMap(target, key, val):
    if len(target[key]) == 1:
        del target[key]
    else:
        target[key].remove(val)


minMax = sorted(MaxHist)[0]

for i in range(Q):
    c, D = map(int, input().split())
    C = c - 1
    prevPos = Enji[C]
    As[prevPos].remove(EnjiRate[C])
    if EnjiRate[C] == Maxs[prevPos]:
        # 再計算
        prevMax = Maxs[prevPos]
        removeMap(MaxHist, prevMax, prevPos)
        if len(As[prevPos]) > 0:
            currentMax = max(As[prevPos])
            Maxs[prevPos] = currentMax
            addMap(MaxHist, currentMax, prevPos)
    Enji[C] = D
    if D not in As:
        As[D] = []

    As[D].append(EnjiRate[C])

    if D in Maxs:
        if EnjiRate[C] > Maxs[D]:
            # 再計算
            currentMax = EnjiRate[C]
            prevMax = Maxs[D]
            removeMap(MaxHist, prevMax, D)
            Maxs[D] = currentMax
            addMap(MaxHist, currentMax, D)
    else:
        # これが最大
        currentMax = EnjiRate[C]
        Maxs[D] = currentMax
        addMap(MaxHist, currentMax, D)

    if minMax in MaxHist:
        print(minMax)
    else:
        print(sorted(MaxHist)[0])


Fixed submission:
X = list(map(int, input().split()))

for idx, i in enumerate(X):
    if i == 0:
        print(idx+1)
Buggy python submission (verdict: Runtime Error):
N = int(input())
listA = list(map(int, input().split(' ')))

from fractions import gcd

def lcm(a):
    x = a[0]
    for i in range(1, len(a)):
        x = (x * a[i]) // gcd(x, a[i])
    return x

total_times = 1
for i in listA:
  total_times = total_times * i

result = 0
prev = 1
for i in listA:
  result += total_times / i

print(int(result * lcm(listA) / total_times % (10 ** 9 + 7)))

Fixed submission:
N = int(input())
listA = list(map(int, input().split(' ')))

from fractions import gcd

tmp_lcm = 1
sumB = 0
for i in listA:
  tmp_gcd = gcd(tmp_lcm, i)
  next_lcm = (tmp_lcm * i) // tmp_gcd
  sumB = sumB * (next_lcm // tmp_lcm) + (next_lcm // i)
  tmp_lcm = next_lcm

print(sumB % (10 ** 9 + 7))

Buggy python submission (verdict: Runtime Error):
N = int(input())
listA = list(map(int, input().split(' ')))

from fractions import gcd

def lcm(a):
    x = a[0]
    for i in range(1, len(a)):
        x = (x * a[i]) // gcd(x, a[i])
    return x

total_times = 1
for i in listA:
  total_times = total_times * i

result = 0
prev = 1
for i in listA:
  result += total_times / i

print(int(result * lcm(a) / total_times % (10 ** 9 + 7)))

Fixed submission:
N = int(input())
listA = list(map(int, input().split(' ')))

from fractions import gcd

tmp_lcm = 1
sumB = 0
for i in listA:
  tmp_gcd = gcd(tmp_lcm, i)
  next_lcm = (tmp_lcm * i) // tmp_gcd
  sumB = sumB * (next_lcm // tmp_lcm) + (next_lcm // i)
  tmp_lcm = next_lcm

print(sumB % (10 ** 9 + 7))
Buggy python submission (verdict: Runtime Error):
a = int(input())
s = int(input())

if a < 3200:
  print('red')
else:
  print(s)

Fixed submission:
a = int(input())
s = input()

if a < 3200:
  print('red')
else:
  print(s)
Buggy python submission (verdict: Runtime Error):
import math
range2 = 17
tables = list(map(lambda x: 2.0 ** (range2-x), range(range2+1)))
 
line = input()
N , K = list(map(int, line.split(' ')))
result = 0
for i in range(N):
    dice = i + 1.0
    if dice >= K:
        result += tables[0]
        continue
    val = math.ceil(math.log2(K / dice))
    result += tables[val]
finalResult = result / N / (2**17)
print('{:.12f}'.format(finalResult))

Fixed submission:
import math
range2 = 17
tables = list(map(lambda x: 2.0 ** (range2-x), range(range2+1)))
 
line = input()
N , K = list(map(int, line.split(' ')))
result = 0
for i in range(N):
    dice = i + 1.0
    if dice >= K:
        result += tables[0]
        continue
    val = math.ceil(math.log2(K / dice))
    result += tables[val]
finalResult = result / N / (2**17)
print('{:.12f}'.format(finalResult))

Buggy python submission (verdict: Runtime Error):
import math
range2 = 17
tables = list(map(lambda x: 2.0 ** (range2-x), range(range2+1)))

line = input()
N , K = list(map(int, line.split(' ')))
result = 0
for i in range(N):
    dice = i + 1.0
    if dice >= K:
        result += tables[0]
        continue
    val = math.ceil(math.log2(K / dice))
    result += tables[val]
finalResult = result / N / (2**17)
print('{:.12f}'.format(finalResult))

Fixed submission:
import math
range2 = 17
tables = list(map(lambda x: 2.0 ** (range2-x), range(range2+1)))
 
line = input()
N , K = list(map(int, line.split(' ')))
result = 0
for i in range(N):
    dice = i + 1.0
    if dice >= K:
        result += tables[0]
        continue
    val = math.ceil(math.log2(K / dice))
    result += tables[val]
finalResult = result / N / (2**17)
print('{:.12f}'.format(finalResult))

Buggy python submission (verdict: Runtime Error):
import math
from decimal import *
range2 = 17
tables = list(map(lambda x: 2.0 ** (range2-x), range(range2+1)))

line = input()
N , K = list(map(int, line.split(' ')))
result = 0
for i in range(N):
    dice = i + 1.0
    if dice >= K:
        result += tables[0]
        continue
    val = math.ceil(math.log2(K / dice))
    result += tables[val]
finalResult = Decimal(result) / Decimal(N) / Decimal(2**17)
print('{:.12f}'.format(finalResult))

Fixed submission:
import math
range2 = 17
tables = list(map(lambda x: 2.0 ** (range2-x), range(range2+1)))
 
line = input()
N , K = list(map(int, line.split(' ')))
result = 0
for i in range(N):
    dice = i + 1.0
    if dice >= K:
        result += tables[0]
        continue
    val = math.ceil(math.log2(K / dice))
    result += tables[val]
finalResult = result / N / (2**17)
print('{:.12f}'.format(finalResult))
Buggy python submission (verdict: Runtime Error):
[a, b, c] = list(map(int, input().split(' ')))

if a  <  c and c < b:
    print("Yes")
elif b < c and c < a:
else:
    print("No")


Fixed submission:
[a, b, c] = list(map(int, input().split(' ')))

if a  <  c and c < b:
    print("Yes")
elif b < c and c < a:
  	print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
lst = list(map(int, input().split()))

x = lst[0]
a = lst[1]
b = lst[2]

if abs(b-x) > (a-x):
    return "A"
else:
    return "B"

Fixed submission:
lst = list(map(int, input().split()))

x = lst[0]
a = lst[1]
b = lst[2]

if abs(b-x) > abs(a-x):
    print("A")
else:
    print("B")
Buggy python submission (verdict: Runtime Error):
st = input()
hash_set = set()
for item in st:
    hash_set.add(item)

a = "abcdefghijklmnopqrstuvwxyz"

flag = False
for item in a:
    if item in b:
        print(item)
        break

if flag == False:
    print("None")


Fixed submission:
st = input()
hash_set = set()
for item in st:
    hash_set.add(item)

a = "abcdefghijklmnopqrstuvwxyz"

flag = False
for item in a:
    if not item in hash_set:
        print(item)
        flag = True
        break

if flag == False:
    print("None")