Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
s = 0
for i in range (1,K + 1):
    for j in range (i + 1,K + 1):
        for k in range (j + 1,K + 1):
            for x in range (66):
                a = min(i,K//3) - x
                if i%a == 0 and j%a == 0 and k%a == 0:
                    s = s + 6 * a
                    break
for i in range(1,K + 1):
    for j in range (i + 1,K + 1):
        for x in range (100):
            a = min(i,K//2) - x
            if i%a == 0 and j%a == 0:
                    s = s + 6 * a
                    break
for i in range(1,K + 1):
    s = s + i

print(s)

Fixed submission:
K = int(input())
s = 0
def gcd(a,b):
    if a == 1 or b == 1:
        return 1
    elif a == 0 or b == 0:
        return max(a,b)
    else:
        if a > b:
            return gcd(a%b,b)
        else:
            return gcd(a,b%a)
for i in range (1,K + 1):
    for j in range (i + 1,K + 1):
        x = gcd(i,j)
        for k in range (j + 1,K + 1):
            s = s + 6 * gcd(x,k)
for i in range(1,K + 1):
    for j in range (i + 1,K + 1):
        s = s + 6 * gcd(i,j)
                    
for i in range(1,K + 1):
    s = s + i

print(s)
Buggy python submission (verdict: Time Limit Exceeded):
N,X,Y = list(map(int,input().split()))
for i in range (1,N):
    a = max(N - 1 - (Y - X - 1) - (i - 1),0)
    if Y - X + 1 > 2 * i:
        b = Y - X + 1
        if i == 1:
            b = b - 1
    elif Y - X + 1 == 2 * i:
        b = i
    else:
        b = 0
    c = 0
    for j in range (1,X):
        if  i - (X - j) < 1:
            c = c
        elif i - (X - j)== 1:
            c = c + 1
        elif 2 * (i - (X - j)) < Y - X + 1:
            c = c + 2
        elif 2 * (i - (X - j)) == Y - X + 1:
            c = c + 1
    for j in range(Y + 1,N + 1):
        if i - (j - Y)  < 1:
            c = c
        elif i - (j - Y) == 1:
            c = c + 1
        elif 2 * (i - (j - Y)) < Y - X + 1:
            c = c + 2
        elif 2 * (i - (j - Y)) == Y - X + 1:
            c = c + 1
        
    print(a+b+c)

Fixed submission:
N,X,Y = list(map(int,input().split()))
for i in range (1,N):
    a = max(N - 1 - (Y - X - 1) - (i - 1),0)
    if Y - X + 1 > 2 * i:
        b = Y - X + 1
        if i == 1:
            b = b - 1
    elif Y - X + 1 == 2 * i:
        b = i
    else:
        b = 0
    c = 0
    for j in range (max(X + 1 - i,1),X):
        if i - (X - j) == 1:
            c = c + 1
        elif 2 * (i - (X - j)) < Y - X + 1:
            c = c + 2
        elif 2 * (i - (X - j)) == Y - X + 1:
            c = c + 1
    for j in range(Y + 1,min(Y + i,N + 1)):
        if i - (j - Y) == 1:
            c = c + 1
        elif 2 * (i - (j - Y)) < Y - X + 1:
            c = c + 2
        elif 2 * (i - (j - Y)) == Y - X + 1:
            c = c + 1
        
    print(a+b+c)
Buggy python submission (verdict: Runtime Error):
A1 = list(map(int,input().split()))
A2 = list(map(int,input().split()))
A3 = list(map(int,input().split()))
N = int(input())
b = [0] * N 
for i in range(N):
    b[i] = int(input())
A = [A1,A2,A3]
B = [[0]*3,[0]*3,[0]*3]
for i in range(3):
    for j in range(3):
        for k in range(N):
            if A[i][j] == b[k]:
                B[i][j] = 1
if B[0] == [1,1,1]:
    print("Yes")
elif B[1] == [1,1,1]:
    print("Yes")
elif B[2] == [1,1,1]:
    print("Yes")
elif B[0][0] == 1 and B[1][0] == 1 and B[2][0] == 1:
    print("Yes")
elif B[0][1] == 1 and B[1][1] == 1 and B[2][1] == 1:
    print("Yes")
elif B[0][2] == 1 and B[1][2] == 1 and B[2][2] == 1:
    print("Yes")
elif B[0][0] == 1 and B[1][1] == 1 and B[2][2] == 1:
    print("Yes")
elif B[0][2] == 1 and B[1][1] == 1 and B[2][0] == 1:
    print("Yes")
else:
    print("No"

Fixed submission:
A1 = list(map(int,input().split()))
A2 = list(map(int,input().split()))
A3 = list(map(int,input().split()))
N = int(input())
b = [0] * N 
for i in range(N):
    b[i] = int(input())
A = [A1,A2,A3]
B = [[0]*3,[0]*3,[0]*3]
for i in range(3):
    for j in range(3):
        for k in range(N):
            if A[i][j] == b[k]:
                B[i][j] = 1
if B[0] == [1,1,1]:
    print("Yes")
elif B[1] == [1,1,1]:
    print("Yes")
elif B[2] == [1,1,1]:
    print("Yes")
elif B[0][0] == 1 and B[1][0] == 1 and B[2][0] == 1:
    print("Yes")
elif B[0][1] == 1 and B[1][1] == 1 and B[2][1] == 1:
    print("Yes")
elif B[0][2] == 1 and B[1][2] == 1 and B[2][2] == 1:
    print("Yes")
elif B[0][0] == 1 and B[1][1] == 1 and B[2][2] == 1:
    print("Yes")
elif B[0][2] == 1 and B[1][1] == 1 and B[2][0] == 1:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
s = [list(map(int,input().split())) for i in range(2)]
t = s[0]
N = t[0]
K = t[1]
H = s[1]
if K > N:
    print(0)
elif K < N//2:
    for i in range(K):
        a = max(H)
        H.remove(a)
    print(sum(H))
else:
    m = 0
    for i in range(N - K):
        a = min(H)
        H.remove(a)
        m = m + a
    print(m)

Fixed submission:
s = [list(map(int,input().split())) for i in range(2)]
t = s[0]
N = t[0]
K = t[1]
H = s[1]
if K > N:
    print(0)
else:
    H.sort()
    H[N - K:N]=[]
    print(sum(H))

Buggy python submission (verdict: Runtime Error):
s = [list(map(int,input().split())) for i in range(2)]
t = s[0]
N = t[0]
K = t[1]
H = s[1]
for i in range(K):
    a = max(H)
    H.remove(a)
print(sum(H))

Fixed submission:
s = [list(map(int,input().split())) for i in range(2)]
t = s[0]
N = t[0]
K = t[1]
H = s[1]
if K > N:
    print(0)
else:
    H.sort()
    H[N - K:N]=[]
    print(sum(H))
Buggy python submission (verdict: Runtime Error):
s = [(input()) for i in range(2)]
N = int(s[0])
t = s[1]
a = 1000000
b = 1
for i in range(N - 1):
    a = min(a,int(t[i]))
    k = i + 1
    c = int(t[k])
    if a >= c:
        b = b + 1
print(b)

Fixed submission:
s = [(input().split()) for i in range(2)]
N = int(s[0][0])
t = s[1]
a = 1000000
b = 1
for i in range(N - 1):
    a = min(a,int(t[i]))
    c = int(t[i + 1])
    if a >= c:
        b = b + 1
print(b)

Buggy python submission (verdict: Runtime Error):
N = int(input())
s = [int(input()) for i in range(N)]
a = 10000000000
b = 1
for i in range(N - 1):
    a = min(a,s[i])
    if a >= s[i + 1]:
        b = b + 1
print(b)

Fixed submission:
s = [(input().split()) for i in range(2)]
N = int(s[0][0])
t = s[1]
a = 1000000
b = 1
for i in range(N - 1):
    a = min(a,int(t[i]))
    c = int(t[i + 1])
    if a >= c:
        b = b + 1
print(b)
Buggy python submission (verdict: Time Limit Exceeded):
import sys    
sys.setrecursionlimit(10**5+10)
def flog1(n):
    if A[n] != 0:
        return A[n]
    if n == 0:
        a = 0
    elif n == 1:
        a = abs(h[0] - h[1])
    else:
        a = min(flog1(n - 1) + abs(h[n - 1] - h[n]),flog1(n -2) + abs(h[n - 2] - h[n]))
    A[n] = a
    return a

N = int(input())
h = list(map(int,input().split()))
A = [0] * N
print(flog1(N - 1))

Fixed submission:
N = int(input())
h = list(map(int,input().split()))
dp = [0] * N
dp[1] = abs(h[1] - h[0])
for i in range(N - 2):
    dp[i + 2] = min(dp[i] + abs(h[i] - h[i + 2]),dp[i + 1] + abs(h[i + 1] - h[i + 2]))
print(dp[N - 1])

Buggy python submission (verdict: Runtime Error):
def flog1(n):
    if A[n] != 0:
        return A[n]
    if n == 0:
        a = 0
    elif n == 1:
        a = abs(h[0] - h[1])
    else:
        a = min(flog1(n - 1) + abs(h[n - 1] - h[n]),flog1(n -2) + abs(h[n - 2] - h[n]))
    A[n] = a
    return a

N = int(input())
h = list(map(int,input().split()))
A = [0] * N
print(flog1(N - 1))

Fixed submission:
N = int(input())
h = list(map(int,input().split()))
dp = [0] * N
dp[1] = abs(h[1] - h[0])
for i in range(N - 2):
    dp[i + 2] = min(dp[i] + abs(h[i] - h[i + 2]),dp[i + 1] + abs(h[i + 1] - h[i + 2]))
print(dp[N - 1])

Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(100000)
def flog1(n):
    if A[n] != 0:
        return A[n]
    if n == 0:
        a = 0
    elif n == 1:
        a = abs(h[0] - h[1])
    else:
        a = min(flog1(n - 1) + abs(h[n - 1] - h[n]),flog1(n -2) + abs(h[n - 2] - h[n]))
    A[n] = a
    return a

N = int(input())
h = list(map(int,input().split()))
A = [0] * N
print(flog1(N - 1))

Fixed submission:
N = int(input())
h = list(map(int,input().split()))
dp = [0] * N
dp[1] = abs(h[1] - h[0])
for i in range(N - 2):
    dp[i + 2] = min(dp[i] + abs(h[i] - h[i + 2]),dp[i + 1] + abs(h[i + 1] - h[i + 2]))
print(dp[N - 1])
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N,W = map(int,input().split())
l = [list(map(int,input().split()))for i in range(N)]
dp = np.zeros(shape=(N,W + 1),dtype = int)
for i in range(l[0][0],W + 1):
    dp[0][i] = l[0][1]
for i in range(1,N):
    for j in range(W + 1):
        if l[i][0] > j:
            dp[i][j] = dp[i - 1][j]
        else:
            dp[i][j] = max(dp[i - 1][j],dp[i - 1][j - l[i][0]] + l[i][1])
print(dp[N - 1][W])

Fixed submission:
import numpy as np
N,W = map(int,input().split())
l = [list(map(int,input().split()))for i in range(N)]
dp = np.zeros(shape=(N,W + 1),dtype = int)
for i in range(l[0][0],W + 1):
    dp[0][i] = l[0][1]
for i in range(1,N):
    weight = l[i][0]
    value = l[i][1]
    dp[i][:weight] = dp[i - 1][:weight]
    dp[i][weight:] = np.maximum(dp[i - 1][weight:], value + dp[i - 1][:-weight])
print(dp[N - 1][W])

Buggy python submission (verdict: Time Limit Exceeded):
N,W = map(int,input().split())
l = [list(map(int,input().split()))for i in range(N)]
dp = [[0]*(W + 1) for i in range(N)]
for i in range(l[0][0],W + 1):
    dp[0][i] = l[0][1]
for i in range(1,N):
    for j in range(W + 1):
        if l[i][0] > j:
            dp[i][j] = dp[i - 1][j]
        else:
            dp[i][j] = max(dp[i - 1][j],dp[i - 1][j - l[i][0]] + l[i][1])
print(dp[N - 1][W])

Fixed submission:
import numpy as np
N,W = map(int,input().split())
l = [list(map(int,input().split()))for i in range(N)]
dp = np.zeros(shape=(N,W + 1),dtype = int)
for i in range(l[0][0],W + 1):
    dp[0][i] = l[0][1]
for i in range(1,N):
    weight = l[i][0]
    value = l[i][1]
    dp[i][:weight] = dp[i - 1][:weight]
    dp[i][weight:] = np.maximum(dp[i - 1][weight:], value + dp[i - 1][:-weight])
print(dp[N - 1][W])
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
DP = [100000000] * (N+1)
DP[0] = 0
for i in range (N):
    DP[i + 1] = DP[i] + 1
    for j in range (100):
        if 6**j <= i + 1:
            DP[i + 1] = min(DP[i + 1],DP[i + 1 - 6**j] + 1)
    for j in range (100):
        if 9**j <= i + 1:
            DP[i + 1] = min(DP[i + 1],DP[i + 1 - 9**j] + 1)
print(DP[N])

Fixed submission:
N = int(input())
DP = [100000000] * (N+1)
DP[0] = 0
for i in range (N):
    DP[i + 1] = DP[i] + 1
    for j in range (8):
        if 6**j <= i + 1:
            DP[i + 1] = min(DP[i + 1],DP[i + 1 - 6**j] + 1)
    for j in range (8):
        if 9**j <= i + 1:
            DP[i + 1] = min(DP[i + 1],DP[i + 1 - 9**j] + 1)
print(DP[N])
Buggy python submission (verdict: Runtime Error):
def Sumofnum(K,S):
    A = min(K,S) + 1
    a = max(S - 2*K, 0)
    c = 0
    for x in range (a,A):
        B = min(S - x,K) + 1
        b = max(S - x - K,0)
        for y in range (b,B):
            c = c + 1
    print(c)
    
s = list(map(int,input().split()))
Sumofnum(K,S)

Fixed submission:
def Sumofnum(K,S):
    A = min(K,S) + 1
    a = max(S - 2*K, 0)
    c = 0
    for x in range (a,A):
        B = min(S - x,K) + 1
        b = max(S - x - K,0)
        for y in range (b,B):
            c = c + 1
    print(c)
    
s = list(map(int,input().split()))
K = s[0]
S = s[1]
Sumofnum(K,S)
Buggy python submission (verdict: Runtime Error):
n,h,w = map(int,input().split())
ans = 0
for i in range(n):
    a,b = map(int,input().split())
    if a>=h and w<=b:
        ans+=1
print(ans)

Fixed submission:
n = input()
print(n.count('2'))
Buggy python submission (verdict: Runtime Error):
red = []
blue = []
ans = 0
n = int(input())
for _ in range(n):
    red.append(input())
m = int(input())
for _ in range(n):
    blue.append(input())
for word in set(red):
    if word in blue:
        tmp = red.count(word) - blue.count(word)
    else:
        tmp = red.count(word)
    if tmp > ans:
        ans = tmp
print(ans)

Fixed submission:
red = []
blue = []
ans = 0
n = int(input())
for _ in range(n):
    red.append(input())
m = int(input())
for _ in range(m):
    blue.append(input())
for word in set(red):
    if word in blue:
        tmp = red.count(word) - blue.count(word)
    else:
        tmp = red.count(word)
    if tmp > ans:
        ans = tmp
print(ans)
Buggy python submission (verdict: Runtime Error):
    data = input()
    data = data.split(" ")
    n = int(data[0])
    k = int(data[1])
    sum = 0
    for b in range(1, n+1):
        sum += (n//b*max(0,b-k)+max(0,n%b-k+1))
    if k == 0: sum-=n
    print(sum)

Fixed submission:
n,k=map(int,input().split())
if k==0:
    print(n**2)
    exit()
c=0
for b in range(1,n+1):
    c+=max(b-k,0)*(n//b)
    c+=max(n%b-k+1,0)
print(c)

Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
if k==0:
    print(n**2)
    exit()
c=0
for b in range(1:n+1):
    c+=max(b-k,0)*(n//b)
    c+=max(n%b-k+1,0)
print(c)


Fixed submission:
n,k=map(int,input().split())
if k==0:
    print(n**2)
    exit()
c=0
for b in range(1,n+1):
    c+=max(b-k,0)*(n//b)
    c+=max(n%b-k+1,0)
print(c)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))
ans = 0
table = [0 for i in range(1000000001)]
for i in range(n):
    table[a[i]]+=1
for i in range(n):
    if table[a[i]] != 0 and table[a[i]] != a[i]:
        if table[a[i]] > a[i]:
            ans+=(table[a[i]]-a[i])
        else:
            ans+=table[a[i]]
    table[a[i]] = 0
print(ans)


Fixed submission:
import collections
n = int(input())
a = list(map(int,input().split()))

count = collections.Counter()

for i in a:
    count[i] += 1

ans = 0
for num,c in count.items():
    if num < c:
        ans += c - num
    elif num > c:
        ans += c
print(ans)
Buggy python submission (verdict: Runtime Error):
x,y,z = list(map(int,input().split()))
ans = x//(y+z)
num = x%(y+z)
if num => y:
    ans+=1
print(ans)


Fixed submission:
x,y,z = list(map(int,input().split()))
x-=z
ans = x//(y+z)
print(ans)
Buggy python submission (verdict: Runtime Error):
n,k = list(map(int,input().split()))
num=1
for i in range(n):
    if  num>k:
        num+=k
    else:
        num*=2
print(num)

Fixed submission:
n = int(input())
k = int(input())
num=1
for i in range(n):
    if  num>k:
        num+=k
    else:
        num*=2
print(num)
Buggy python submission (verdict: Time Limit Exceeded):
k = int(input())
s = input()
mod = 10**9 + 7

n = 2*10**6 + 1
factorial = [1]
inverse = [1]
for i in range(1, n+1):
    factorial.append(factorial[-1] * i % mod)
    inverse.append(pow(factorial[-1], mod - 2, mod))

def comb(n, r, mod):
    if n < r or r < 0: return 0
    elif r == 0: return 1
    return factorial[n] * inverse[r] * inverse[n - r] % mod

n = len(s)
length = k + n
ans = 0
for i in range(n, length+1):
    temp = 1
    temp *= comb(i-1, n-1, mod)
    temp %= mod
    temp *= pow(25, i-n, mod)
    temp %= mod
    temp *= pow(26, length-i, mod)
    temp %= mod
    ans += temp
    ans %= mod
print(ans)

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

n = 2*10**6 + 1
factorial = [1]
inverse = [1]
pow25 = [1]
pow26 = [1]
for i in range(1, n+1):
    factorial.append(factorial[-1] * i % mod)
    inverse.append(pow(factorial[-1], mod - 2, mod))
    pow25.append((pow25[-1]*25)%mod)
    pow26.append((pow26[-1]*26)%mod)

def comb(n, r, mod):
    if n < r or r < 0: return 0
    elif r == 0: return 1
    return factorial[n] * inverse[r] * inverse[n - r] % mod

n = len(s)
length = k + n
ans = 0
for i in range(n, length+1):
    temp = 1
    temp *= comb(i-1, n-1, mod)
    temp %= mod
    temp *= pow25[i-n]
    temp %= mod
    temp *= pow26[length-i]
    temp %= mod
    ans += temp
    ans %= mod
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
a = list(map(int, input().split()))

for _ in range(k):
    lst = [0] * n
    for i in range(n):
        num = a[i]
        if i-num >= 0:
            lst[i-num] += 1
        else:
            lst[0] += 1
        if i+num+1 <= n-1:
            lst[i+num+1] -= 1
    mini = lst[0]
    for i in range(1, n):
        lst[i] += lst[i-1]
        mini = min(mini, lst[i])
    a = lst[:]
    if mini == n:
        break
print(' '.join(map(str, a)))

Fixed submission:
n, k = map(int, input().split())
a = list(map(int, input().split()))

for _ in range(k):
    lst = [0] * n
    for i in range(n):
        num = a[i]
        if i-num >= 0:
            lst[i-num] += 1
        else:
            lst[0] += 1
        if i+num+1 <= n-1:
            lst[i+num+1] -= 1
    mini = lst[0]
    for i in range(1, n):
        lst[i] += lst[i-1]
        mini = min(mini, lst[i])
    a = lst[:]
    if mini == n:
        break
print(' '.join(map(str, a)))
Buggy python submission (verdict: Time Limit Exceeded):
t = input()
ans = ''
for i in range(len(t)):
    if t[i] == '?':
        ans += 'D'
    else:
        ans += t[i]
print(ans)

Fixed submission:
t = input()
ans = ''
for i in range(len(t)):
    if t[i] == '?':
        ans += 'D'
    else:
        ans += t[i]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
a = list(map(int, input().split()))
for i in range(n):
    a[i] -= 1

doubling = []
lst = []
for i in range(n):
    lst.append(a[i])
doubling.append(lst)

for i in range(59):
    before = doubling[-1]
    after = []
    for j in range(n):
        after.append(before[before[j]])
    doubling.append(after)

sisu = 59
now = 0
while k > 0:
    idx = pow(2, sisu)
    if k < idx:
        sisu -= 1
    else:
        k -= idx
        now = doubling[sisu][now]
print(now+1)

Fixed submission:
n, k = map(int, input().split())
a = list(map(int, input().split()))
for i in range(n):
    a[i] -= 1

already = [-1 for i in range(n)]
already[0] = 0
mati = 0
num = 0
for _ in range(n):
    num += 1
    mati = a[mati]
    if already[mati] == -1:
        already[mati] = num
        continue
    else:
        roop = num - already[mati]
        break

saisho = already[mati]
if k <= saisho:
    tugi = 0
    for _ in range(k):
        tugi = a[tugi]
    print(tugi+1)
else:
    nokori = k - saisho
    amari = nokori % roop
    for _ in range(amari):
        mati = a[mati]
    print(mati+1)
Buggy python submission (verdict: Runtime Error):
def calc(a, b):
    return a**4+a**3*b+a**2*b**2+a*b**3+b**4

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    # divisors.sort()
    return divisors

x = int(input())
div = make_divisors(x)
ans = 0
for yakusu in div:
    num = x // yakusu
    left = 0
    right = int(num**0.25) + 1
    while left+1 < right:
        mid = (left+right) // 2
        a, b = mid, mid-yakusu
        result = calc(a, b)
        if abs(result) > num:
            right = mid
        else:
            left = mid
    if abs(calc(right, right-yakusu)) == num:
        ans = (right, right-yakusu)
        break
    if abs(calc(left, left-yakusu)) == num:
        ans = (left, left-yakusu)
        break

if ans[0]**5 - ans[1]**5 > 0:
    print(ans[0], ans[1])
else:
    print(ans[1], ans[0])

Fixed submission:
x = int(input())

ans = 0
for a in range(-200, 200):
    for b in range(-200, 200):
        if a**5 - b**5 == x:
            ans = [a, b]
            break
    if ans != 0:
        break
print(ans[0], ans[1])

Buggy python submission (verdict: Time Limit Exceeded):
def calc(a, b):
    return a**4+a**3*b+a**2*b**2+a*b**3+b**4

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    # divisors.sort()
    return divisors

x = int(input())
div = make_divisors(x)
ans = 0
for yakusu in div:
    a = 0
    b = -yakusu
    while (a-b) * calc(a, b) <= x or b < 0:
        if abs((a-b) * calc(a, b)) == x:
            ans = (a, b)
            break
        else:
            a += 1
            b += 1
    if ans != 0: break

if ans[0]**5 - ans[1]**5 > 0:
    print(ans[0], ans[1])
else:
    print(ans[1], ans[0])

Fixed submission:
x = int(input())

ans = 0
for a in range(-200, 200):
    for b in range(-200, 200):
        if a**5 - b**5 == x:
            ans = [a, b]
            break
    if ans != 0:
        break
print(ans[0], ans[1])
Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int, input().split())

already = [0 for i in range(n+1)]
idx = m+1
for sa in range(m)[::-1]:
    sa += 1
    while True:
        if idx-sa < 1:
            idx = sa + 1
            # if idx > n: idx = 1
            continue
        if already[idx] == 0 and already[idx-sa] == 0:
            right, left = idx, idx-sa
            already[right], already[left] = 1, 1
            idx += 1
            if idx > n: idx = 1
            break
        else:
            idx += 1
            if idx > n: idx = 1
    print(left, right)

Fixed submission:
n, m = map(int, input().split())

if m%2 == 0:
    gu_max, ki_max = m, m-1
else:
    gu_max, ki_max = m-1, m
gu_start = 1
ki_start = 1 + gu_max + 1

for sa in range(m)[::-1]:
    sa += 1
    if sa%2 == 0:
        print(gu_start, gu_start+sa)
        gu_start += 1
    else:
        print(ki_start, ki_start+sa)
        ki_start += 1

Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int, input().split())

already = [0 for i in range(n+1)]
idx = m+1
for sa in range(m)[::-1]:
    sa += 1
    while True:
        if idx-sa < 1:
            idx += 1
            if idx > n: idx = 1
            continue
        if already[idx] == 0 and already[idx-sa] == 0:
            right, left = idx, idx-sa
            already[right], already[left] = 1, 1
            idx += 1
            if idx > n: idx = 1
            break
        else:
            idx += 1
            if idx > n: idx = 1
    print(left, right)

Fixed submission:
n, m = map(int, input().split())

if m%2 == 0:
    gu_max, ki_max = m, m-1
else:
    gu_max, ki_max = m-1, m
gu_start = 1
ki_start = 1 + gu_max + 1

for sa in range(m)[::-1]:
    sa += 1
    if sa%2 == 0:
        print(gu_start, gu_start+sa)
        gu_start += 1
    else:
        print(ki_start, ki_start+sa)
        ki_start += 1

Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int, input().split())

already = [0 for i in range(n+1)]
idx = m+1
for sa in range(m)[::-1]:
    sa += 1
    while True:
        if idx-sa < 1:
            idx += 1
            if idx > n: idx = 1
            continue
        if already[idx] == 0 and already[idx-sa] == 0:
            right, left = idx, idx-sa
            already[right], already[left] = 1, 1
            idx += 1
            if idx > n: idx = 1
            break
        else:
            idx += 1
            if idx > n: idx = 1
    print(left, right)

Fixed submission:
n, m = map(int, input().split())

if m%2 == 0:
    gu_max, ki_max = m, m-1
else:
    gu_max, ki_max = m-1, m
gu_start = 1
ki_start = 1 + gu_max + 1

for sa in range(m)[::-1]:
    sa += 1
    if sa%2 == 0:
        print(gu_start, gu_start+sa)
        gu_start += 1
    else:
        print(ki_start, ki_start+sa)
        ki_start += 1