Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import math

N, X = map(int, input().split())
arr = [int(_) for _ in input().split(' ')]

a = 1000000000000000

for i in range(N):
    for j in range(N):
        if math.gcd(abs(arr[i] - X), abs(arr[j] - X)) < a:
            a = math.gcd(abs(arr[i] - X), abs(arr[j] - X))

print(a)

Fixed submission:
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

N, X = map(int, input().split())
x = [int(_) for _ in input().split(' ')]

dist = [abs(i - X) for i in x]

ans = dist[0]

for i in range(N-1):
    ans = gcd(ans, dist[i+1])

print(ans)

Buggy python submission (verdict: Runtime Error):
import math

N, X = map(int, input().split())
arr = [int(_) for _ in input().split(' ')]

a = 1000000000000000

for i in range(N):
    for j in range(N):
        if math.gcd(abs(arr[i] - X), abs(arr[i] - X)) < a:
            a = math.gcd(abs(arr[i] - X), abs(arr[i] - X))

print(a)

Fixed submission:
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

N, X = map(int, input().split())
x = [int(_) for _ in input().split(' ')]

dist = [abs(i - X) for i in x]

ans = dist[0]

for i in range(N-1):
    ans = gcd(ans, dist[i+1])

print(ans)

Buggy python submission (verdict: Runtime Error):
N, X = map(int, input().split())
 
arr = [int(_) for _ in input().split(' ')]
arr.sort()
 
a = 1000000000000
 
 
for i in range(N-1):
    if abs(arr[i+1]-arr[i]) < a:
        a = abs(arr[i+1]-arr[i])
 
for j in range(N):
    if abs(arr[j] - X) < a:
        a = abs(arr[j] - X)

if X > arr[N] or X < arr[0]:
    a = 1
 
print(a)

Fixed submission:
def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

N, X = map(int, input().split())
x = [int(_) for _ in input().split(' ')]

dist = [abs(i - X) for i in x]

ans = dist[0]

for i in range(N-1):
    ans = gcd(ans, dist[i+1])

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

print(N - i + 1)

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

print(N - i + 1)
Buggy python submission (verdict: Runtime Error):
N = int(input())
 
if N in [1, 2, 3, 5, 6, 7, 9, 10, 13, 17]:
   print("Yes")
else:
   print("No")


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

if N % K == 0:
    print(0)
else:
    print(1)

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

if N in [1, 2, 3, 5, 6, 7, 9, 10, 13, 17]:
   print("Yes")
else:
   print("No")


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

if N % K == 0:
    print(0)
else:
    print(1)

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

if N % K == 0:
    print(0)
else:
    print(1)

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

if N % K == 0:
    print(0)
else:
    print(1)
Buggy python submission (verdict: Runtime Error):
s=list(input())
s=set(s)
s=list(s)
s.sort()
for i in range(26):
    if ord(s[i])-97!=i:
        if i==0:
            print("a")
            break
        print(chr(ord(s[i-1])+1))
        break
    if i==25:
        print("None")
        break

Fixed submission:
s=list(input())
s=set(s)
s=list(s)
s.sort()
k=0
for i in range(26):
    if ord(s[i])-97!=i:
        if i==0:
            print("a")
            k=1
            break
        print(chr(ord(s[i-1])+1))
        break
    if i==25:
        print("None")
        k=1
        break
    if i==len(s)-1:
        print(chr(ord(s[-1])+1))
        break
Buggy python submission (verdict: Runtime Error):
a,b,c=map(int,input().split())
print("YES" if b-a==c-b else "NO)

Fixed submission:
a,b,c=map(int,input().split())
print("YES" if b-a==c-b else "NO")
Buggy python submission (verdict: Time Limit Exceeded):
k,s=map(int,input().split())
ans=0
for i in range(k+1):
    for j in range(k+1):
        for l in range(k+1):
            if (i+j+l)==s:
                ans+=1
print(ans)

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

t = 0

for i in range(K + 1):
    for j in range(K + 1):
        if 0 <= S - i - j <= K:
            t += 1

print(t)
Buggy python submission (verdict: Runtime Error):
N = int(input())
 
t = [input() for i in range(N)]
 
M = int(input())
 
a = []
for i in range(M):
    a.append(map(int, raw_input().split()))       
 
cal = sum(t)
 
for j in range(M):
    print(cal - t[a[j][0] - 1] + a[j][1])

Fixed submission:
print(eval(input()))

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

op = input()

if op ==  "+":
    print(A + B)
else :
    print(A - B)

Fixed submission:
print(eval(input()))

Buggy python submission (verdict: Runtime Error):
a =  input().split()

if a[1] ==  "+":
    print(int(a[0]) + int(a[2]))
else a[1] == "-":
    print(int(a[0]) - int(a[2]))

Fixed submission:
print(eval(input()))

Buggy python submission (verdict: Runtime Error):
a =  input().split()

if a[1] = "+":
    print(int(a[0]) + int(a[2]))
    
if a[1] = "-":
    print(int(a[0]) - int(a[2]))

Fixed submission:
print(eval(input()))
Buggy python submission (verdict: Time Limit Exceeded):
a,b,x = map(int, input().split())
ans = 0
for i in range(a, b+1):
    if i%x == 0:
        ans +=1
print(ans)

Fixed submission:
a,b,x=map(int,input().split())
print(b//x-(a-1)//x)

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

for cnt in range(a, a + x):
    if cnt % x == 0 :
        s = cnt
    else:
        continue
        
t = 0
        
for count in range(s, b + 1, x):
    if count % x == 0:
        t += 1
    else:
        continue
        
print(t)

Fixed submission:
a,b,x=map(int,input().split())
print(b//x-(a-1)//x)

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

s = 0

for cnt in range(a, b+1):
    if cnt % x == 0 :
        s += 1
    else:
        continue
        
print(s)

Fixed submission:
a,b,x=map(int,input().split())
print(b//x-(a-1)//x)
Buggy python submission (verdict: Runtime Error):
a, b, c = map(int, input().split())

s = [a, b, c]
ld = sorted(s, reverse=True)

if ld[0] = ld[1] + ld[2]:
    print("Yes")
else:
    print("No")

Fixed submission:
a = list(map(int, input().split()))
a.sort()
if a[2] == a[0] + a[1]:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
a, b, c = map(int, input().split())

s = [a, b, c]
ld = sorted(s, reverse=True)

if ld[0] = ld[1] + ld[2]:
    print(Yes)
else:
    print(No)

Fixed submission:
a = list(map(int, input().split()))
a.sort()
if a[2] == a[0] + a[1]:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
a, b, c = int(input().split())

if a == b == c:
    print(1)
elif a == b or a == c or b == c:
    print(2)
else:
    print(3)

Fixed submission:
a, b, c = map(int, input().split())

if a == b == c:
    print(1)
elif a == b or a == c or b == c:
    print(2)
else:
    print(3)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
cnt=0
for i in range(n):
    for j in range(i+1,n):
        if a[a[i]-1]==i+1:
            cnt+=1
            a[i]=0
            break
print(cnt)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
cnt=0
for i in range(n):
    if a[a[i]-1]==i+1:
        cnt+=1
        a[i]=0
        continue
print(cnt)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
cnt=0
for i in range(n):
    for j in range(i+1,n):
        if a[a[i]-1]==i+1:
            cnt+=1
            a[i]=0
            break
print(cnt)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
cnt=0
for i in range(n):
    if a[a[i]-1]==i+1:
        cnt+=1
        a[i]=0
        continue
print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
n,m = map(int,input().split())
d = {}
for _ in range(m):
    a,b = map(int,input().split())
    d[a] = d.get(a,[]) + [b]
    d[b] = d.get(b,[]) + [a]
ans = 1
visited = set()
for i in range(1,n+1):
    if i in visited: continue
    stack = [i]
    visited.add(i)
    cur = 1
    while stack:
        node = stack.pop()
        for nei in d.get(node,[]):
            if nei not in visited:
                stack.append(nei)
                visited.add(nei)
                cur += 1
    ans = max(ans,cur)
print(ans)

Fixed submission:
class UnionFind:
    def __init__(self,n):
        self.par = {i:i for i in range(1,n+1)}
        self.rank = {i:0 for i in range(1,n+1)}
        self.size = {i:1 for i in range(1,n+1)}

    def find(self,x):
        if x != self.par[x]:
            self.par[x] = self.find(self.par[x])
        return self.par[x]

    def union(self,x,y):
        px,py = self.find(x),self.find(y)
        res = 0
        if px != py:
            if self.rank[px] < self.rank[py]:
                self.par[px] = py
                self.size[py] += self.size[px]
                res = self.size[py]
            else:
                self.par[py] = px
                self.size[px] += self.size[py]
                if self.rank[px] == self.rank[py]:
                    self.rank[px] += 1
                res = self.size[px]
        return res

n,m = map(int,input().split())
ans = 1
uf = UnionFind(n)
for _ in range(m):
    a,b = map(int,input().split())
    ans = max(ans,uf.union(a,b))
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from sys import stdin
n,k = map(int,stdin.readline().split())
p = list(map(int,stdin.readline().split()))
c = list(map(int,stdin.readline().split()))
 
ans = -float("inf")
def helper(index):
    visited  = {index}
    looplen = 1
    looptotal = c[index]
    while p[index]-1 not in visited:
        nextindex = p[index] - 1
        looplen += 1
        looptotal += c[nextindex]
        visited.add(nextindex)
        index = nextindex
    return (looplen,looptotal)
 
for i in range(n):
    looplen,looptotal = helper(i)
    if looptotal >= 0:
        cur = looptotal*((k//looplen)-1) if k >= looplen else 0
        remain = looplen + (k%looplen) if k >= looplen else k
    else:
        cur = 0
        remain = looplen
    curmax = -float("inf")
    curindex = i
    for _ in range(remain):
        nextindex = p[curindex]-1
        cur += c[nextindex]
        curmax = max(curmax,cur)
        curindex = nextindex
    ans = max(ans,curmax)
print(ans)

Fixed submission:
from sys import stdin
n,k = map(int,stdin.readline().split())
p = list(map(int,stdin.readline().split()))
c = list(map(int,stdin.readline().split()))

ans = -float("inf")
def helper(index):
    visited  = {index}
    looplen = 1
    looptotal = c[index]
    while p[index]-1 not in visited:
        nextindex = p[index] - 1
        looplen += 1
        looptotal += c[nextindex]
        visited.add(nextindex)
        index = nextindex
    return (looplen,looptotal)

for i in range(n):
    looplen,looptotal = helper(i)
    if looptotal >= 0:
        cur = looptotal*((k//looplen)-1) if k >= looplen else 0
        remain = looplen + (k%looplen) if k >= looplen else k
    else:
        cur = 0
        remain = looplen
    curmax = -float("inf")
    curindex = i
    for _ in range(remain):
        nextindex = p[curindex]-1
        cur += c[nextindex]
        curmax = max(curmax,cur)
        curindex = nextindex
    ans = max(ans,curmax)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from sys import stdin
import math
n = int(stdin.readline())
a = list(map(int,stdin.readline().split()))
a.sort()
ans = 0
numset = set(a)
maxval = 10**6
dp = [0]*(maxval+1)
for i in range(n):
    if dp[a[i]] == 0 and (i == n-1 or a[i] != a[i+1]):
        ans += 1
    j = a[i]
    while j <= maxval:
        dp[j] += 1
        j += a[i]
print(ans)

Fixed submission:
from sys import stdin
import math
n = int(stdin.readline())
a = list(map(int,stdin.readline().split()))
a.sort()
ans = 0
maxval = a[-1]
seen = set()
for i in range(n):
    if a[i] not in seen and (i == n-1 or a[i] != a[i+1]):
        ans += 1
    j = a[i]
    while j <= maxval:
        seen.add(j)
        j += a[i]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from sys import stdin
import math
n = int(stdin.readline())
a = list(map(int,stdin.readline().split()))
a.sort()
ans = 0
seen = set()
for i in range(n):
    for j in range(1,math.floor(math.sqrt(a[i]))+1):
        if a[i]%j == 0:
            x,y = j,a[i]//j
            if x in seen or y in seen:
                break
    else:
        ans += 1 if i == n-1 or a[i] != a[i+1] else 0
    seen.add(a[i])
print(ans)


Fixed submission:
from sys import stdin
import math
n = int(stdin.readline())
a = list(map(int,stdin.readline().split()))
a.sort()
ans = 0
maxval = a[-1]
seen = set()
for i in range(n):
    if a[i] not in seen and (i == n-1 or a[i] != a[i+1]):
        ans += 1
    j = a[i]
    while j <= maxval:
        seen.add(j)
        j += a[i]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
k = int(input())
import math
ans = 0
for i in range(1,k+1):
  for j in range(1,k+1):
    for x in range(1,k+1):
      ans += math.gcd(i,math.gcd(j,x))
print(ans)

Fixed submission:
import math
 
k = int(input()) + 1
ans = 0
 
for a in range(1, k):
    for b in range(1, k):
        d = math.gcd(a, b)
        for c in range(1, k):
            ans += math.gcd(d, c)
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
memo = {}
def gcd(x,y):
    if x < y:
        x,y = y,x
    if (x,y) in memo:return memo[(x,y)]
    if y == 0:return x
    memo[(x,y)] = gcd(y,x%y)
    return memo[(x,y)]
ans = 0
temp = []
for i in range(1,K+1):
    for j in range(1,K+1):
        temp.append(gcd(i,j))
for i in range(1,K+1):
    for num in temp:
        ans += gcd(i,num)
print(ans)

Fixed submission:
import math
 
k = int(input()) + 1
ans = 0
 
for a in range(1, k):
    for b in range(1, k):
        d = math.gcd(a, b)
        for c in range(1, k):
            ans += math.gcd(d, c)
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
memo = {}
def gcd(x,y):
    if x < y:
        x,y = y,x
    if (x,y) in memo:return memo[(x,y)]
    if y == 0:return x
    memo[(x,y)] = gcd(y,x%y)
    return memo[(x,y)]
ans = 0
for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            ans += gcd(i,gcd(j,k))
print(ans)

Fixed submission:
import math
 
k = int(input()) + 1
ans = 0
 
for a in range(1, k):
    for b in range(1, k):
        d = math.gcd(a, b)
        for c in range(1, k):
            ans += math.gcd(d, c)
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
def gcd(x,y):
    if x < y:
        x,y = y,x
    if y == 0:return x
    return gcd(y,x%y)
ans = 0
for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            ans += gcd(i,gcd(j,k))
print(ans)

Fixed submission:
import math
 
k = int(input()) + 1
ans = 0
 
for a in range(1, k):
    for b in range(1, k):
        d = math.gcd(a, b)
        for c in range(1, k):
            ans += math.gcd(d, c)
 
print(ans)

Buggy python submission (verdict: Runtime Error):
K = int(input())
ans = 0
for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            if j < k:
                j,k = k,j
            temp = gcd(j,k)
            if i < temp:
                i,temp = temp,i
            ans += gcd(i,temp)
print(ans)

Fixed submission:
import math
 
k = int(input()) + 1
ans = 0
 
for a in range(1, k):
    for b in range(1, k):
        d = math.gcd(a, b)
        for c in range(1, k):
            ans += math.gcd(d, c)
 
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())
nums = list(map(int,input().split()))
dp = [[0,0,0] for _ in range(n)]
dp[0][0] = nums[0]
dp[1][0],dp[1][1],dp[1][2] = nums[1],nums[0],-float("inf")
dp[2][0],dp[2][1],dp[2][2] = nums[2],nums[1],nums[0]
for i in range(3,n):
    if i%2 == 0:
        dp[i][0] = max(dp[i-2]) + nums[i]
        dp[i][1] = max(dp[i-3]) + nums[i-1]
        dp[i][2] = sum(nums[0:i-1:2])
    else:
        dp[i][0] = max(dp[i-2]) + nums[i]
        dp[i][1] = sum(nums[0:i-2:2]) + nums[i-1]
        dp[i][2] = -float("inf")
print(max(dp[n-1]))

Fixed submission:
n = int(input())
nums = list(map(int,input().split()))
if n == 2:
    print(max(nums[0],nums[1]))
else:
    temp =[0]
    for i in range(n):
        if i%2 == 0:
            temp += [temp[-1]+nums[i]]
    dp = [[0,0,0] for _ in range(n)]
    dp[0][0] = nums[0]
    dp[1][0],dp[1][1],dp[1][2] = nums[1],nums[0],-float("inf")
    dp[2][0],dp[2][1],dp[2][2] = nums[2],nums[1],nums[0]
    for i in range(3,n):
        if i%2 == 0:
            dp[i][0] = max(dp[i-2]) + nums[i]
            dp[i][1] = max(dp[i-3]) + nums[i-1]
            dp[i][2] = temp[i//2]
        else:
            dp[i][0] = max(dp[i-2]) + nums[i]
            dp[i][1] = temp[(i-1)//2] + nums[i-1]
            dp[i][2] = -float("inf")
    print(max(dp[n-1]))

Buggy python submission (verdict: Runtime Error):
n = int(input())
nums = list(map(int,input().split()))
dp = [[0,0,0] for _ in range(n)]
dp[0][0] = nums[0]
dp[1][0],dp[1][1],dp[1][2] = nums[1],nums[0],-float("inf")
dp[2][0],dp[2][1],dp[2][2] = nums[2],nums[1],nums[0]
for i in range(3,n):
    if i%2 == 0:
        dp[i][0] = max(dp[i-2]) + nums[i]
        dp[i][1] = max(dp[i-3]) + nums[i-1]
        dp[i][2] = sum(nums[0:i-1:2])
    else:
        dp[i][0] = max(dp[i-2]) + nums[i]
        dp[i][1] = sum(nums[0:i-2:2]) + nums[i-1]
        dp[i][2] = -float("inf")
print(max(dp[n-1]))
print(dp)

Fixed submission:
n = int(input())
nums = list(map(int,input().split()))
if n == 2:
    print(max(nums[0],nums[1]))
else:
    temp =[0]
    for i in range(n):
        if i%2 == 0:
            temp += [temp[-1]+nums[i]]
    dp = [[0,0,0] for _ in range(n)]
    dp[0][0] = nums[0]
    dp[1][0],dp[1][1],dp[1][2] = nums[1],nums[0],-float("inf")
    dp[2][0],dp[2][1],dp[2][2] = nums[2],nums[1],nums[0]
    for i in range(3,n):
        if i%2 == 0:
            dp[i][0] = max(dp[i-2]) + nums[i]
            dp[i][1] = max(dp[i-3]) + nums[i-1]
            dp[i][2] = temp[i//2]
        else:
            dp[i][0] = max(dp[i-2]) + nums[i]
            dp[i][1] = temp[(i-1)//2] + nums[i-1]
            dp[i][2] = -float("inf")
    print(max(dp[n-1]))
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = []
d = {}
ans = 0
for _ in range(n):
    a.append(int(input()))
for i in a:
    d[i] = d.get(i,0) + 1
for key in d:
    ans += d[key]*(d[key]-1)//2
for i in a:
    print(ans + 1 - d[i])

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
d = {}
ans = 0
for i in a:
    d[i] = d.get(i,0) + 1
for key in d:
    ans += d[key]*(d[key]-1)//2
for i in a:
    print(ans + 1 - d[i])
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
l = list(map(int,input().split()))
import bisect
l.sort()
ans = 0
for i in range(n-2):
    for j in range(i+1,n-1):
        x = bisect.bisect_left(l[j+1:],l[i]+l[j])
        ans += x
print(ans)

Fixed submission:
n = int(input())
l = list(map(int, input().split()))
l.sort()
 
from bisect import bisect_left
ans = 0
for i in range(n):
  for j in range(i+1, n):
    t = l[i]+l[j]
    idx = bisect_left(l, t)
    ans += max(0, idx-j-1)
print(ans)

Buggy python submission (verdict: Runtime Error):
n = int(input())
l = list(map(int,input()))
import bisect
l.sort()
ans = 0
for i in range(n-2):
    for j in range(i+1,n-1):
        x = bisect.bisect_left(l[j+1:],l[i]+l[j])
        ans += x
print(ans)

Fixed submission:
n = int(input())
l = list(map(int, input().split()))
l.sort()
 
from bisect import bisect_left
ans = 0
for i in range(n):
  for j in range(i+1, n):
    t = l[i]+l[j]
    idx = bisect_left(l, t)
    ans += max(0, idx-j-1)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
n = int(input())
A = list(map(int,input().split()))
c,d,s = [0 for _ in range(n+1)],[0 for _ in range(n+1)],[0 for _ in range(n+1)]
for i in A:
    c[i] += 1
    d[c[i]] += 1
for i in range(1,n+1):
    s[i] = s[i-1]+d[i]
for i in range(1,n+1):
    l,u = 0,n+1
    while u-l > 1:
        mid = (l+u)//2
        if s[mid] >= i*mid:
            l = mid
        else:
            u = mid
    print(l)

Fixed submission:
N = int(input())
 
A = list(map(int,input().split()))
 
dic = {}
 
for a in A:
 
    if a not in dic:
        dic[a] = 1
    else:
        dic[a] += 1
 
B = []
for i in dic:
    B.append(dic[i])
 
B.sort()
 
B_sub = B.copy()
 
for i in range(len(B)-1):
    B_sub[i+1] += B_sub[i] 
 
aind = N + 1
nind = len(B) - 1
 
#print (B,B_sub)
 
for i in range(N):
 
    i += 1
 
    while True:
 
        while nind > 0 and B[nind] > aind - 1:
 
          nind -= 1
 
        if i > len(B):
            print (0)
            break
 
        elif ((len(B) - 1) - nind ) * (aind-1) + B_sub[nind] >= (aind - 1) * i:
            print (aind - 1)
            break
 
        aind -= 1

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
A = list(map(int,input().split()))
c,d,s = [0 for _ in range(n+1)],[0 for _ in range(n+1)],[0 for _ in range(n+1)]
for i in A:
    c[i] += 1
    d[c[i]] += 1
for i in range(1,n+1):
    s[i] = s[i-1]+d[i]
for i in range(1,n+1):
    l,u = 0,n+1
    while u-l > 1:
        mid = (l+u)//2
        if s[mid] >= i*mid:
            l = mid
        else:
            u = mid
    print(l)

Fixed submission:
N = int(input())
 
A = list(map(int,input().split()))
 
dic = {}
 
for a in A:
 
    if a not in dic:
        dic[a] = 1
    else:
        dic[a] += 1
 
B = []
for i in dic:
    B.append(dic[i])
 
B.sort()
 
B_sub = B.copy()
 
for i in range(len(B)-1):
    B_sub[i+1] += B_sub[i] 
 
aind = N + 1
nind = len(B) - 1
 
#print (B,B_sub)
 
for i in range(N):
 
    i += 1
 
    while True:
 
        while nind > 0 and B[nind] > aind - 1:
 
          nind -= 1
 
        if i > len(B):
            print (0)
            break
 
        elif ((len(B) - 1) - nind ) * (aind-1) + B_sub[nind] >= (aind - 1) * i:
            print (aind - 1)
            break
 
        aind -= 1
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int,input().split()))
res = []
for i,e in enumerate(a):
    res.append((e,i))
res.sort()
ans = []
for i in res:
    ans.append(i[1]+1)
print(" ".join(ans))

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
res = []
for i,e in enumerate(a):
    res.append((e,i))
res.sort()
ans = []
for i in res:
    ans.append(i[1]+1)
print(" ".join(map(str,ans)))
Buggy python submission (verdict: Runtime Error):
s = input()
if s == "Sunny":
    print("Cloudy")
elif:
    print("Rainy")
else:
    print("Sunny")  

Fixed submission:
S = input()
if S == "Sunny":
    print("Cloudy")
elif S == "Cloudy":
    print("Rainy")
else:
    print("Sunny")
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = map(int, input().split())
for i in range(N):
    A[i] = 1/A[i]
a = sum(A)
print(1/a)

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
for i in range(N):
    A[i] = 1/A[i]
a = sum(A)
print(1/a)
Buggy python submission (verdict: Runtime Error):
N = int(input())
v = list(map(int,input().split()))
def func(a,b):
    return (a+b)/2
  v = sorted(v)
ave = (v[0]+v[1])/2
for i in range(2,N):
    ave = func(ave,v[i])
    
print(ave)

Fixed submission:
N = int(input())
v = list(map(int,input().split()))
def func(a,b):
    return (a+b)/2
v = sorted(v)
ave = (v[0]+v[1])/2
for i in range(2,N):
    ave = func(ave,v[i])
    
print(ave)