Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import math
# import statistics
# a=input()
#b,c=int(input()),int(input())
# c=[]
# for i in a:
#    c.append(i)
e1,e2 = map(int,input().split())
#f = list(map(int,input().split()))
#g = [input() for _ in range(a)]
z = a//9
af= a%9
if af==0:
    print(str(9)*(z))
 
else :
    print(str(af)*(z+1))

Fixed submission:
# import math
# import statistics
a=input()
#b,c=int(input()),int(input())
# c=[]
# for i in a:
#     c.append(i)
#e1,e2 = map(int,input().split())
#f = list(map(int,input().split()))
#g = [input() for _ in range(a)]
# zoro = int(a[0]*len(a))
zyun= len(a)*9+int(a[0])
zoro=0
z = zyun//9
af= zyun%9
if af==0:
    if int(a)<=int(str(9)*(z-1)):
        print(int(str(9)*(z-1)))
    else:
            print(str(1)*(z))
else :
    if int(a)<=int(str(af)*(z)):
        print(int(str(af)*(z)))
    else:
        print(int(str(af+1)*(z)))
Buggy python submission (verdict: Runtime Error):
# import math
# import statistics
#a=input()
#b,c=int(input()),int(input())
# c=[]
# for i in a:
#    c.append(i)
e1,e2 = map(str,input().split())
#K = input()
# f = list(map(int,input().split()))
#g = [input() for _ in range(a)]
count=0
a=e1+e2
for i in range(int(a)):
	if a/i==i:
		count+=1
if count>0:
	print('Yes')
else:
	print('No')

Fixed submission:
# import math
# import statistics
#a=input()
#b,c=int(input()),int(input())
# c=[]
# for i in a:
#    c.append(i)
e1,e2 = map(str,input().split())
#K = input()
# f = list(map(int,input().split()))
#g = [input() for _ in range(a)]
count=0
a=e1+e2
for i in range(1,int(a)):
	if int(a)/int(i)==int(i):
		count+=1
if count>0:
	print('Yes')
else:
	print('No')

Buggy python submission (verdict: Runtime Error):
# import math
# import statistics
#a=input()
#b,c=int(input()),int(input())
# c=[]
# for i in a:
#    c.append(i)
e1,e2 = map(str,input().split())
#K = input()
# f = list(map(int,input().split()))
#g = [input() for _ in range(a)]
count=0
a=join(e1,e2)
for i in range(int(a)):
	if a/i==i:
		count+=1
if count>0:
	print('Yes')
else:
	print('No')

Fixed submission:
# import math
# import statistics
#a=input()
#b,c=int(input()),int(input())
# c=[]
# for i in a:
#    c.append(i)
e1,e2 = map(str,input().split())
#K = input()
# f = list(map(int,input().split()))
#g = [input() for _ in range(a)]
count=0
a=e1+e2
for i in range(1,int(a)):
	if int(a)/int(i)==int(i):
		count+=1
if count>0:
	print('Yes')
else:
	print('No')
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
MOD = 998244353

l = [0] * K
r = [0] * K

for i in range(K):
	l[i], r[i] = map(int, input().split())
	
dp = [0] * (N+1)
dp[1] = 1

dpsum = [0] * (N+1)
dpsum[1] = 1

for i in range(2, N+1):
	for j in range(K):
		li = i - r[j]
		ri = i - l[j]
		if li <= 0:
			dp[i] = dp[i] + dpsum[ri]
		else:
			dp[i] = dpsum[ri] - dpsum[li-1] + dp[i]
			
			
	dpsum[i] = dp[i] + dpsum[i-1]
	
print(dp[N] % MOD)

Fixed submission:
N, K = map(int, input().split())
MOD = 998244353

l = [0] * K
r = [0] * K

for i in range(K):
	l[i], r[i] = map(int, input().split())
	
dp = [0] * (N+1)
dp[1] = 1

dpsum = [0] * (N+1)
dpsum[1] = 1

for i in range(2, N+1):
	for j in range(K):
		li = i - r[j]
		ri = i - l[j]
		if li <= 0:
			dp[i] = dp[i] + dpsum[ri]
			dp[i] %= MOD
		else:
			dp[i] = dpsum[ri] - dpsum[li-1] + dp[i]
			dp[i] %= MOD
			
			
	dpsum[i] = dp[i] + dpsum[i-1]
	dpsum[i] %= MOD
	
print(dp[N] % MOD)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def getParents(self):
        return self.parents

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}



N, M = map(int, input().split())
friend = UnionFind(N)
for i in range(M):
    a, b = map(int, input().split())
    friend.union(a-1, b-1)

roots = friend.all_group_members()
ans = -1
for x in roots.values():
    ans = max(ans, len(x))
print(ans)


Fixed submission:
from collections import Counter
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parent = [i for i in range(n)]
        self.rank = [0 for i in range(n)]

    def getParent(self):
        return [self.find(i) for i in range(N)]

    def find(self, x):
        if self.parent[x] == x:
            return x
        else:
            self.parent[x] = self.find(self.parent[x])
            return self.parent[x]

    def unite(self, x, y):
        root_x = self.find(x)
        root_y = self.find(y)
        if (root_x == root_y):
            return
        elif self.rank[root_x] > self.rank[root_y]:
            self.parent[root_y] = root_x

        elif self.rank[root_y] > self.rank[root_x]:
            self.parent[root_x] = root_y

        else:
            self.parent[root_x] = root_y
            self.rank[root_y] += 1

    def isSame(self, x, y):
        return self.find(x) == self.find(y)

    def memsInGroup(self, x):
        """
        O(N)かかります
        """
        root = self.find(x)
        return [i for i in range(N) if root == self.find(i)]

    def sizeOfGroup(self, x):
        return len(self.memsInGroup(x))


N, M = map(int, input().split())

friend = UnionFind(N)
for i in range(M):
    a, b = map(int, input().split())
    friend.unite(a-1, b-1)

roots = friend.getParent()
counts = Counter(roots)

ans = max(counts.values())
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
H, W = map(int, input().split())
Ch, Cw = map(int, input().split())
Dh, Dw = map(int, input().split())
Ch -= 1; Cw -= 1; Dh -= 1; Dw -= 1;
S = []

for _ in range(H):
    S.append(input())

dq = deque()
dq.append((Cw, Ch))

dx = [-1, 0, 1, 0]
dy = [0, 1, 0, -1]

visited = [[-1 for _ in range(W)] for _ in range(H)]
visited[Ch][Cw] = 0
while dq:
    x, y = dq.popleft()

    #コスト無しで行けるエリアを列挙
    for dx_, dy_ in zip(dx, dy):
        if (not 0 <= x+dx_ < W) or (not 0 <= y+dy_ < H):
            continue
        if S[y+dy_][x+dx_] == "#":
            continue
        #まだ訪れていない or 実はノーコストで到達可能な点だった
        if visited[y+dy_][x+dx_] == -1 or visited[y+dy_][x+dx_] > visited[y][x]:
            visited[y+dy_][x+dx_] = visited[y][x]
            dq.appendleft((x+dx_, y+dy_))

    for i in range(-2, 3):
        for j in range(-2, 3):
            if (not 0 <= x+i < W) or (not 0 <= y+j < H):
                continue
            if S[y+j][x+i] == '#':
                continue

            if visited[y+j][x+i] == -1:
                visited[y+j][x+i] = visited[y][x] + 1
                dq.append((x+i, y+j))

ans = visited[Dh][Dw]
print(ans)


Fixed submission:
from collections import deque
H, W = map(int, input().split())
Ch, Cw = map(int, input().split())
Dh, Dw = map(int, input().split())
Ch -= 1; Cw -= 1; Dh -= 1; Dw -= 1;
S = []

for _ in range(H):
    S.append(input())

dq = deque()
dq.append((Cw, Ch))

dx = [-1, 0, 1, 0]
dy = [0, 1, 0, -1]

visited = [[-1 for _ in range(W)] for _ in range(H)]
visited[Ch][Cw] = 0
while dq:
    x, y = dq.popleft()

    #コスト無しで行けるエリアを列挙
    for dx_, dy_ in zip(dx, dy):
        if (not 0 <= x+dx_ < W) or (not 0 <= y+dy_ < H):
            continue
        if S[y+dy_][x+dx_] == "#":
            continue
        #まだ訪れていない or 実はノーコストで到達可能な点だった
        if visited[y+dy_][x+dx_] == -1 or visited[y+dy_][x+dx_] > visited[y][x]:
            visited[y+dy_][x+dx_] = visited[y][x]
            dq.appendleft((x+dx_, y+dy_))

    for i in range(-2, 3):
        for j in range(-2, 3):
            if (not 0 <= x+i < W) or (not 0 <= y+j < H):
                continue
            if S[y+j][x+i] == '#':
                continue

            if visited[y+j][x+i] == -1:
                visited[y+j][x+i] = visited[y][x] + 1
                dq.append((x+i, y+j))

ans = visited[Dh][Dw]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import pprint
H, W, M = map(int, input().split())
bombs = set()
hCount = [0]*H
vCount = [0]*W

for i in range(M):
    h, w = map(int, input().split())
    h -= 1; w -= 1;
    hCount[h] += 1
    vCount[w] += 1
    bombs.add((h, w))

hMax = max(hCount)
vMax = max(vCount)
hMaxIndex = [i for i, x in enumerate(hCount) if x==max(hCount)]
vMaxIndex = [i for i, x in enumerate(vCount) if x==max(vCount)]

ans = -1
for x in vMaxIndex:
    for y in hMaxIndex:
        if (y, x) in bombs:
            continue
        else:
            print(hMax + vMax)
            exit()
print(hMax + vMax - 1)


Fixed submission:
import pprint
H, W, M = map(int, input().split())
bombs = set()
hCount = [0]*H
vCount = [0]*W

for i in range(M):
    h, w = map(int, input().split())
    h -= 1; w -= 1;
    hCount[h] += 1
    vCount[w] += 1
    bombs.add((h, w))

hMax = max(hCount)
vMax = max(vCount)
hMaxIndex = [i for i, x in enumerate(hCount) if x==hMax]
vMaxIndex = [i for i, x in enumerate(vCount) if x==vMax]

ans = -1
for x in vMaxIndex:
    for y in hMaxIndex:
        if (y, x) in bombs:
            continue
        else:
            print(hMax + vMax)
            exit()
print(hMax + vMax - 1)

Buggy python submission (verdict: Time Limit Exceeded):
import pprint
H, W, M = map(int, input().split())
bombs = [[0 for _ in range(W)] for _ in range(H)]
hCount = [0]*H
vCount = [0]*W

for i in range(M):
    h, w = map(int, input().split())
    h -= 1; w -= 1;
    hCount[h] += 1
    vCount[w] += 1
    bombs[h][w] = 1

hMax = max(hCount)
vMax = max(vCount)
hMaxIndex = [i for i, x in enumerate(hCount) if x==max(hCount)]
vMaxIndex = [i for i, x in enumerate(vCount) if x==max(vCount)]

ans = -1
for y in hMaxIndex:
    for x in vMaxIndex:
        if bombs[y][x]:
            ans = max(hMax + vMax - 1, ans)
        else:
            ans = max(hMax+vMax, ans)
print(ans)


Fixed submission:
import pprint
H, W, M = map(int, input().split())
bombs = set()
hCount = [0]*H
vCount = [0]*W

for i in range(M):
    h, w = map(int, input().split())
    h -= 1; w -= 1;
    hCount[h] += 1
    vCount[w] += 1
    bombs.add((h, w))

hMax = max(hCount)
vMax = max(vCount)
hMaxIndex = [i for i, x in enumerate(hCount) if x==hMax]
vMaxIndex = [i for i, x in enumerate(vCount) if x==vMax]

ans = -1
for x in vMaxIndex:
    for y in hMaxIndex:
        if (y, x) in bombs:
            continue
        else:
            print(hMax + vMax)
            exit()
print(hMax + vMax - 1)
Buggy python submission (verdict: Runtime Error):
N, D = list(map(int, input().split()))

cod = [0]*N

for i in range(N):
    x, y = list(map(int, input().split()))
    cod[i] = (x, y)

ans = 0
for i in range(N):
    x, y = cod[i]

    if (x**2 + y**2) <= D**2:
        ans += 1

print(ans)
N, D = list(map(int, input().split()))

cod = [0]*N

for i in range(N):
    x, y = list(map(int, input().split()))
    cod[i] = (x, y)

ans = 0
for i in range(N):
    x, y = cod[i]

    if (x**2 + y**2) <= D**2:
        ans += 1

print(ans)


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

cod = [0]*N

for i in range(N):
    x, y = list(map(int, input().split()))
    cod[i] = (x, y)

ans = 0
for i in range(N):
    x, y = cod[i]

    if (x**2 + y**2) <= D**2:
        ans += 1

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

A = list(map(int, input().split()))

score = [0]*N
dq = []

score_now = 1
for i in range(0, K):
    score_now *= A[i]
left = A[0]
index = 0

for j in range(K-1, N-1):
    score[j] = score_now

    score_now /= left
    index += 1
    left = A[index]
    score_now *= A[j+1]
score[N-1] = score_now


for k in range(K, N):
    if score[k] > score[k-1]:
        print("Yes")
    else:
        print("No")


Fixed submission:
N, K = list(map(int, input().split()))
K -= 1
A = list(map(int, input().split()))

index = 0
left = A[index]

for i in range(K+1, N):

    if A[index] < A[i]:
        print("Yes")
    else:
        print("No")

    index += 1

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
N, K = list(map(int, input().split()))

A = list(map(int, input().split()))

score = [0]*N
dq = []

for i in range(0, K):
    dq.append(A[i])
score_now = 1
for i in range(len(dq)):
    score_now *= dq[i]

for j in range(K-1, N-1):
    score[j] = score_now

    left = dq[0]
    del dq[0]
    score_now /= left
    dq.append(A[j+1])
    score_now *= A[j+1]
score[N-1] = score_now


for k in range(K, N):
    if score[k] > score[k-1]:
        print("Yes")
    else:
        print("No")


Fixed submission:
N, K = list(map(int, input().split()))
K -= 1
A = list(map(int, input().split()))

index = 0
left = A[index]

for i in range(K+1, N):

    if A[index] < A[i]:
        print("Yes")
    else:
        print("No")

    index += 1

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
N, K = list(map(int, input().split()))

A = list(map(int, input().split()))

score = [0]*N
dq = deque()

for i in range(0, K):
    dq.append(A[i])
score_now = 1
for i in range(len(dq)):
    score_now *= dq[i]

for j in range(K-1, N-1):
    score[j] = score_now

    left = dq.popleft()
    score_now /= left
    dq.append(A[j+1])
    score_now *= A[j+1]
score[N-1] = score_now


for k in range(K, N):
    if score[k] > score[k-1]:
        print("Yes")
    else:
        print("No")


Fixed submission:
N, K = list(map(int, input().split()))
K -= 1
A = list(map(int, input().split()))

index = 0
left = A[index]

for i in range(K+1, N):

    if A[index] < A[i]:
        print("Yes")
    else:
        print("No")

    index += 1

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
N, K = list(map(int, input().split()))

A = list(map(int, input().split()))

score = [0]*N
dq = deque()

for i in range(0, K):
    dq.append(A[i])
score_now = 1
for i in range(len(dq)):
    score_now *= dq[i]

for j in range(K-1, N-1):
    score[j] = score_now

    left = dq.popleft()
    score_now /= left
    dq.append(A[j+1])
    score_now *= A[j+1]
score[N-1] = score_now


for k in range(K, N):
    if score[k] > score[k-1]:
        print("Yes")
    else:
        print("No")


Fixed submission:
N, K = list(map(int, input().split()))
K -= 1
A = list(map(int, input().split()))

index = 0
left = A[index]

for i in range(K+1, N):

    if A[index] < A[i]:
        print("Yes")
    else:
        print("No")

    index += 1
Buggy python submission (verdict: Runtime Error):
N = int(input())

ans = ""
name = []
alphabet = {i+1:chr(ord("a") + i) for i in range(26)}
while N > 0:

    a, r = N//26, N%26
    # print(a,r)
    name.append(r)
    N = N//26

if name[0] == 0:
    name = name[1:]

for i in range(len(name)):
    name[i] = alphabet[name[i]]
print("".join(name[::-1]))


Fixed submission:
N = int(input())

ans = ""
while N > 0:

    N -= 1

    q, r = N//26, N%26

    ans += chr(ord("a") + r)

    N = q

print(ans[::-1])

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

ans = ""
alphabet = {i+1:chr(ord("a") + i) for i in range(26)}
while N != 0:

    a, r = N//26, N%26
    # print(a,r)
    ans = alphabet[r] + ans
    N = N//26

print(ans)


Fixed submission:
N = int(input())

ans = ""
while N > 0:

    N -= 1

    q, r = N//26, N%26

    ans += chr(ord("a") + r)

    N = q

print(ans[::-1])
Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
N = int(input())
A = list(map(int, input().split()))

maxVal = N + max(A)
ans = 0

L = defaultdict(int)
R = defaultdict(int)
for x in range(1, maxVal+1):
    for i in range(1, N+1):
        if i + A[i-1] == x:
            L[i+A[i-1]] += 1

    for j in range(1, N+1):
        if j - A[j-1] == x:
            R[j-A[j-1]] += 1


for x in range(1, maxVal+1):
    ans += L[x] * R[x]

print(ans)


Fixed submission:
from collections import defaultdict
N = int(input())
A = list(map(int, input().split()))

maxVal = N + max(A)
ans = 0

candidatesL = defaultdict(int)
for i in range(1, N+1):
    candidatesL[i+A[i-1]] += 1

candidatesR = defaultdict(int)
for j in range(1, N+1):
    candidatesR[j-A[j-1]] += 1

ans = 0
for x in candidatesL.keys():
    ans += candidatesL[x] * candidatesR[x]

print(ans)
Buggy python submission (verdict: Runtime Error):
K, N = map(int, input().split())

A = list(map(int, input().split()))

maxDifPair = None
maxDif = 0
for i in range(N-1):
    if A[i+1] - A[i] > maxDif:
        maxDif = A[i+1] - A[i]
        maxDifPair = (i, i+1)

if abs(A[N-1] - A[0]) > maxDif:
    maxDifPair = (N-1, 0)

#右回り
A_ = A.copy()
for i in range(N):
    A_[i] -= A[maxDifPair[1]]

    if A_[i] < 0:
        A_[i] = K + A_[i]

dist1 = max(A_)
# print(A_)

#左回り
A__ = A.copy()

for i in range(N):
    A__[i] -= A[maxDifPair[0]]
    if A__[i] < 0:
        A__[i] = K + A__[i]

# print(A__)
dist2 = max(A__)

print(min(dist1, dist2, candidate1))


Fixed submission:
K, N = map(int, input().split())

A = list(map(int, input().split()))

if len(A) == 2:
    dist = A[1] - A[0]
    if 2 * dist > K:
        dist = K - dist

minDist = float("inf")
for i in range(N-1):
    if K - (A[i+1] - A[i]) < minDist:
        minDist = K - (A[i+1] - A[i])

minDist = min(minDist, A[N-1]-A[0])

print(minDist)
Buggy python submission (verdict: Time Limit Exceeded):
a, b, c = map(int, input().split())

for _ in range(c):
  if a > 0:
    a -= 1
  elif b > 0:
    b -= 1
  else:
    break
    
print(a, b)

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

if 0 <= K < A:
    A -= K
elif A <= K <= A + B:
    B -= (K - A)
    A = 0
else:
    A = 0
    B = 0

print(A, B)

Buggy python submission (verdict: Time Limit Exceeded):
a, b, k = map(int, input().split())

for i in range(k):
  
  if a > 0:
    a -= 1
  elif b > 0:
    b -= 1
  else:
    pass
  
print(a, b)

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

if 0 <= K < A:
    A -= K
elif A <= K <= A + B:
    B -= (K - A)
    A = 0
else:
    A = 0
    B = 0

print(A, B)
Buggy python submission (verdict: Runtime Error):
N = int(input())

ans = N * (N-1) / 2

print(int(ans))

Fixed submission:
S = input()
T = input()

ans = 0
for i in range(3):
    if S[i] == T[i]:
        ans += 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
H, W = map(int, input().split())

graph = []
for i in range(H):
    graph.append(input())

L = [[0 for _ in range(W)] for _ in range(H)]
U = [[0 for _ in range(W)] for _ in range(H)]
D = [[0 for _ in range(W)] for _ in range(H)]
R = [[0 for _ in range(W)] for _ in range(H)]


for y in range(H):
    for x in range(W):
        if graph[y][x] == "#":
            L[y][x] = 0
        elif x == 0:
            L[y][x] = 1
        else:
            L[y][x] = L[y][x-1] + 1

for x in range(W):
    for y in range(H):
        if graph[y][x] == "#":
            U[y][x] = 0
        elif y == 0:
            U[y][x] = 1
        else:
            U[y][x] = U[y-1][x] + 1

for x in range(W):
    for y in range(H-1, -1, -1):
        if graph[y][x] == "#":
            D[y][x] = 0
        elif y == H-1:
            D[y][x] = 1
        else:
            D[y][x] = D[y+1][x] + 1

for y in range(H):
    for x in range(W-1, -1, -1):
        if graph[y][x] == "#":
            R[y][x] = 0
        elif x == W-1:
            R[y][x] = 1
        else:
            R[y][x] = R[y][x+1] + 1

ans = -1
for y in range(H):
    for x in range(W):
        ans = max(ans, L[y][x] + R[y][x] + U[y][x] + D[y][x] - 3)

print(ans)


Fixed submission:
H, W = map(int, input().split())

graph = []
for i in range(H):
    graph.append(input())

L = [[0 for _ in range(W)] for _ in range(H)]
U = [[0 for _ in range(W)] for _ in range(H)]
D = [[0 for _ in range(W)] for _ in range(H)]
R = [[0 for _ in range(W)] for _ in range(H)]


for y in range(H):
    for x in range(W):
        if graph[y][x] == "#":
            L[y][x] = 0
        elif x == 0:
            L[y][x] = 1
        else:
            L[y][x] = L[y][x-1] + 1

for x in range(W):
    for y in range(H):
        if graph[y][x] == "#":
            U[y][x] = 0
        elif y == 0:
            U[y][x] = 1
        else:
            U[y][x] = U[y-1][x] + 1

for x in range(W):
    for y in range(H-1, -1, -1):
        if graph[y][x] == "#":
            D[y][x] = 0
        elif y == H-1:
            D[y][x] = 1
        else:
            D[y][x] = D[y+1][x] + 1

for y in range(H):
    for x in range(W-1, -1, -1):
        if graph[y][x] == "#":
            R[y][x] = 0
        elif x == W-1:
            R[y][x] = 1
        else:
            R[y][x] = R[y][x+1] + 1

ans = -1
for y in range(H):
    for x in range(W):
        ans = max(ans, L[y][x] + R[y][x] + U[y][x] + D[y][x] - 3)

print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy as np
N, K = map(int, input().split())

ans = 0
for i in range(1, K):
    if i > N:
        break
    x = np.ceil(np.log2(K/i))
    p = (1/2)**x
    ans += p

ans *= 1/N

if N >= K:
    ans += (N-K+1)/N

print("{:.10f}".format(ans))


Fixed submission:
import math
N, K = map(int, input().split())

ans = 0
for i in range(1, K):
    if i > N:
        break
    x = math.ceil(math.log2(K/i))
    p = (1/2)**x
    ans += p

ans *= 1/N

if N >= K:
    ans += (N-K+1)/N

print("{:.10f}".format(ans))
Buggy python submission (verdict: Time Limit Exceeded):
N, Q = map(int, input().split())
S = input()

count = [0] * N

for i in range(N-1):
	
	if S[i] == 'A' and S[i+1] == 'C':
		count[i] = 1


for i in range(Q):
	l, r = map(int, input().split())
	l -= 1; r -= 1
	
	res = count[l:r].count(1)
	print(res)

Fixed submission:
N, Q = map(int, input().split())
S = input()

count = [0] * N

for i in range(N-1):
	
	if S[i] == 'A' and S[i+1] == 'C':
		count[i] = 1

accum = count.copy()
for i in range(1, N):
	accum[i] += accum[i-1]

for i in range(Q):
	l, r = map(int, input().split())
	l -= 1; r -= 1;
	if l == 0:
		res = accum[r]
	else:
		res = accum[r] - accum[l-1]
	if count[r] == 1:
		res -= 1
	print(res)