Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = list(map(int,input().split()))
ans = 1

for i in range(1,N):
  if P[i] <= min(P[:i]): 
    ans += 1
print(ans)

Fixed submission:
N = int(input())
P = list(map(int,input().split()))
ans = 1
small = P[0]
for i in range(1,N):
  if P[i] <= small: 
    ans += 1
    small = P[i]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = list(map(int,input().split()))
ans = P.index(1)

for i in range(1,ans):
  if i > N - P[i]:
    ans -= 1
    continue
  for j in range(i):
    if P[i]>P[j]: 
      ans -= 1
      break
  
print(ans+1)

Fixed submission:
N = int(input())
P = list(map(int,input().split()))
ans = 1
small = P[0]
for i in range(1,N):
  if P[i] <= small: 
    ans += 1
    small = P[i]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = list(map(int,input().split()))
ans = P.index(1)

for i in range(1,ans):
    if P[i] > min(P[:i]): 
      ans -= 1 
  
print(ans + 1)

Fixed submission:
N = int(input())
P = list(map(int,input().split()))
ans = 1
small = P[0]
for i in range(1,N):
  if P[i] <= small: 
    ans += 1
    small = P[i]
print(ans)

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

for i in range(N):
  for j in range(i):
    if P[i]>P[j]: 
      ans -= 1
      break
  
print(ans)

Fixed submission:
N = int(input())
P = list(map(int,input().split()))
ans = 1
small = P[0]
for i in range(1,N):
  if P[i] <= small: 
    ans += 1
    small = P[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
A, B, K = map(int,input().split())
print(max(0, A - K), max(0,min(B, A + B - K)))

Fixed submission:
S, T = map(str, input().split())
print(T + S)
Buggy python submission (verdict: Runtime Error):
from math import log, ceil
N = int(input())

out = 0

if N%2 != 0:
    print(0)
else:
    for i in range(1,ceil(log(N,5))):
            out += N//(2*5**i)
    print(out)

Fixed submission:
from math import log, ceil
N = int(input())

out = 0

if N%2 != 0 or N == 0:
    print(0)    
else:
    for i in range(1,ceil(log(N,5))):
            out += N//(2*5**i)
    print(out)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))
for i in range(1,n+1):
  print(a.index(i)+1, end=" ")

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
roster=[]
for i in range(n):
  roster.append(i+1)
k=dict(zip(a,roster)) 
k=sorted(k.items())
for i in range(len(k)):
  print(k[i][1],end=" ")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = []
for i in range(N):
  A.append(int(input()))
big = max(A)
for i in range(N):
  if A[i] != big: print(big)
  else: print(max(A[:i] + A[i + 1:])) 

Fixed submission:
N = int(input())
A = []
for i in range(N):
  A.append(int(input()))
big = max(A)
place = A.index(big)
for i in range(N):
  if i != place: print(big)
  else: print(max(A[:i] + A[i + 1:]))
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
N = int(input())
S = list(input())
ans = 10 ** 9
for i in range(N + 1):
  ans = min(ans,Counter(S[:i])["#"] + Counter(S[i:])["."])
print(ans)  

Fixed submission:
from collections import Counter
N = int(input())
S = list(input())
ans = 10 ** 9
hash = [0] * (N + 1)
memo = 0
for i in range(N):
  if S[i] == "#":
    memo += 1
  hash[i + 1] = memo
dot = [0] * (N + 1)
memo = 0
for i in range(N - 1,-1,-1):
  if S[i] == ".":
    memo += 1
  dot[i] = memo    
for i in range(N + 1):
  ans = min(ans, hash[i] + dot[i])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = list(input())
ans = 10 ** 9
for i in range(N + 1):
  ans = min(ans,S[:i].count("#") + S[i:].count("."))
print(ans)  

Fixed submission:
from collections import Counter
N = int(input())
S = list(input())
ans = 10 ** 9
hash = [0] * (N + 1)
memo = 0
for i in range(N):
  if S[i] == "#":
    memo += 1
  hash[i + 1] = memo
dot = [0] * (N + 1)
memo = 0
for i in range(N - 1,-1,-1):
  if S[i] == ".":
    memo += 1
  dot[i] = memo    
for i in range(N + 1):
  ans = min(ans, hash[i] + dot[i])
print(ans)
Buggy python submission (verdict: Runtime Error):
from math import ceil
N, P = map(int,input().split())
if N >= 40: print(1)
else:
  ans = 1
  for i in range(1,ceil(P ** (1 / N))):
    if P % ((i + 1) ** N) == 0:
      ans = i + 1
print(ans)      
                 

Fixed submission:
from math import ceil
N, P = map(int,input().split())
if N >= 40: print(1)
elif N == 1: print(P)  
else:
  ans = 1
  for i in range(1,ceil(P ** (1 / N))):
    if P % ((i + 1) ** N) == 0:
      ans = i + 1
  print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
A, B, K = map(int,input().split())
for i in range(A, B + 1):
  if i < A + K or i > B - K: print(i) 


Fixed submission:
A, B, K = map(int,input().split())
for i in range(A, min(A + K, B + 1)):
  print(i) 
for i in range(max(B - K, A) , B):
  if i + 1 >= A + K: print(i + 1)

Buggy python submission (verdict: Time Limit Exceeded):
A, B, K = map(int,input().split())
for i in range(A, B + 1):
  if i < A + K or i > B - K: print(i) 

Fixed submission:
A, B, K = map(int,input().split())
for i in range(A, min(A + K, B + 1)):
  print(i) 
for i in range(max(B - K, A) , B):
  if i + 1 >= A + K: print(i + 1)
Buggy python submission (verdict: Runtime Error):
`r`````````````````. ````````@|@|@|@|@|@|@|@|@|@|@|@|i

Fixed submission:
s = input()
print(s[:4] + " " + s[4:])
Buggy python submission (verdict: Runtime Error):
#include <algorithm>
#include <cctype>
#include <cmath>
#include <cstdlib>
#include <iomanip>
#include <iostream>
#include <numeric>
#include <queue>
#include <set>
#include <string>
#include <unordered_map>
#include <vector>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
using ll = long long;
using P = pair<int, int>;

#define REP(i, n) for (int i = 0, i##_len = (n); i < i##_len; ++i)
#define FOR(i, a, b) for (int i = (a), i##_len = (b); i <= i##_len; ++i)
#define REV(i, a, b) for (int i = (a); i >= (b); --i)
#define CLR(a, b) memset((a), (b), sizeof(a))
#define DUMP(x) cout << #x << " = " << (x) << endl;
#define INF 1001001001001001001ll
#define fcout cout << fixed << setprecision(12)

const int MOD = 1000000007;

// vector<vector<int>> data(3, vector<int>(4));

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);

  ll a, b, c, d;
  cin >> a >> b >> c >> d;

  ll ans = a * c;
  ans = max(ans, a * d);
  ans = max(ans, b * c);
  ans = max(ans, b * d);

  printf("%lld", ans);
}


Fixed submission:
a,b,c,d = map(int, input().split())
ans = a*c
ans = max(ans,a*d)
ans = max(ans,b*c)
ans = max(ans,b*d)
print(ans)
Buggy python submission (verdict: Runtime Error):
n=int(input())
b=list(map(int,input().split()))
ans=0
if n==2:
  print(2*b[0])
else:
  for i in range(n-2):
    ans+=min(b[i],b[i+1])
  print(ans+b[n]+b[0])

Fixed submission:
n=int(input())
b=list(map(int,input().split()))
ans=0
if n==2:
  print(2*b[0])
else:
  for i in range(n-2):
    ans+=min(b[i],b[i+1])
  print(ans+b[-1]+b[0])
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
ans=0
if n==1:
  print(0)
else:
  for i in range(1,n):
    ans+=i
  print(ans)

Fixed submission:
n=int(input())
print(n*(n-1)//2)
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
ans=0
for i in range(n):
  ans+=	1/float(a[n])
print(1/float(ans))

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
bunshi=1
for i in range(n):
  bunshi*=a[i]
bunbo=0
for i in range(n):
  bunbo+=bunshi//a[i]
print(float(bunshi)/float(bunbo))
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
n=int(input())
l=[]
dfs=[]
ans=[0]*n
for i in range(n):
    s=input()
    m=len(dfs)
    ss=Counter(s)
    for j in range(m):
        if l[j]==ss:
            ans[j]+=1
            break
    l.append(ss)
    dfs.append(i)
    ans[i]+=1
k=len(ans)
answer=0
for i in range(k):
    answer+=ans[i]*(ans[i]-1)//2
    
print(answer)

Fixed submission:
from collections import Counter
n=int(input())
l={}
ans=0
for i in range(n):
  s=input()
  ss=sorted(s)
  s="".join(ss)
  ans+=l.setdefault(s, 0) 
  l[s]+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
n=int(input())
l=[]
for i in range(n):
    s=input()
    l.append(Counter(s))
ans=0
dfs=[1]*n
for i in range(n):
    if dfs[i]!=0:
        a=1
        for j in range(i+1,n):
            if dfs[j]!=0 and l[i]==l[j]:
                dfs[j]=0
                a+=1
        ans+=max(0,a*(a-1)//2)
print(ans)


Fixed submission:
from collections import Counter
n=int(input())
l={}
ans=0
for i in range(n):
  s=input()
  ss=sorted(s)
  s="".join(ss)
  ans+=l.setdefault(s, 0) 
  l[s]+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
n=int(input())
l=[]
for i in range(n):
    s=input()
    l.append(Counter(s))
ans=0

for i in range(n):
    for j in range(i+1,n):
         if l[i]==l[j]:
             ans+=1
print(ans)

Fixed submission:
from collections import Counter
n=int(input())
l={}
ans=0
for i in range(n):
  s=input()
  ss=sorted(s)
  s="".join(ss)
  ans+=l.setdefault(s, 0) 
  l[s]+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
n=int(input())
l=[]
for i in range(n):
    s=input()
    l.append(Counter(s))
ans=0

for i in range(n):
    for j in range(n):
        if i<j:
             if l[i]==l[j]:
                 ans+=1
print(ans)


Fixed submission:
from collections import Counter
n=int(input())
l={}
ans=0
for i in range(n):
  s=input()
  ss=sorted(s)
  s="".join(ss)
  ans+=l.setdefault(s, 0) 
  l[s]+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
l=[]
for i in range(n):
    s=input()
    ss=sorted(s)
    l.append([ss])
ans=0
for i in range(n):
    for j in range(n):
        if i<j:
             if l[i]==l[j]:
                 ans+=1
print(ans)

Fixed submission:
from collections import Counter
n=int(input())
l={}
ans=0
for i in range(n):
  s=input()
  ss=sorted(s)
  s="".join(ss)
  ans+=l.setdefault(s, 0) 
  l[s]+=1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n,m=map(int,input().split())
l=[]
for i in range(n):
  a,b=map(int,input().split())
  l.append([a,b])
l.sort()
l.append([0,0])
ans=0
k=[]
j=0
for i in range(1,m+1):
  while j<=n and l[j][0]<=i:
    k.append(l[j][1])
    j+=1
  if len(k)!=0:
  	ans+=max(k)
  	k.remove(max(k))
print(ans)

Fixed submission:
import heapq
n,m=map(int,input().split())
l=[]
for i in range(n):
  a,b=map(int,input().split())
  l.append([a,b])
l.sort()
l.append([0,0])
ans=0
k=[]
j=0
for i in range(1,m+1):
  while j<=n and l[j][0]<=i:
    heapq.heappush(k, -1*l[j][1])
    j+=1
  if len(k)!=0:
  	ans+=-1*k[0]
  	heapq.heappop(k)
print(ans)

Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
l=[]
for i in range(n):
  a,b=map(int,input().split())
  l.append([a,b])
l.sort()
l.append([0,0])
ans=0
k=[]
j=0
for i in range(1,m+1):
  while j<=n and l[j][0]<=i:
    k.append(l[j][1])
    j+=1
  ans+=max(k)
  k.remove(max(k))
print(ans)

Fixed submission:
import heapq
n,m=map(int,input().split())
l=[]
for i in range(n):
  a,b=map(int,input().split())
  l.append([a,b])
l.sort()
l.append([0,0])
ans=0
k=[]
j=0
for i in range(1,m+1):
  while j<=n and l[j][0]<=i:
    heapq.heappush(k, -1*l[j][1])
    j+=1
  if len(k)!=0:
  	ans+=-1*k[0]
  	heapq.heappop(k)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
s=input()
n=len(s)
mod=10**9+7
dp=[[0 for i in range(13)] for i in range(n)]
if s[0]=="?":
  for i in range(10):
    dp[0][i]=1
else:
  dp[0][int(s[0])]=1
for i in range(1,n):
  if s[i]=="?":
    for j in range(13):
      for k in range(10):
        dp[i][(10*j+k)%13]+=dp[i-1][j]
        dp[i][(10*j+k)%13]%=mod
  else:
    for j in range(13):
      dp[i][(10*j+int(s[i]))%13]+=dp[i-1][j]
      dp[i][(10*j+int(s[i]))%13]%=mod
print(dp[n-1][5])

Fixed submission:
s=input()
n=len(s)
mod=10**9+7
dp=[[0 for i in range(13)] for i in range(n)]
if s[0]=="?":
  for i in range(10):
    dp[0][i]=1
else:
  dp[0][int(s[0])]=1
for i in range(1,n):
  if s[i]=="?":
    for j in range(13):
      for k in range(10):
        dp[i][(10*j+k)%13]+=dp[i-1][j]
  else:
    for j in range(13):
      dp[i][(10*j+int(s[i]))%13]+=dp[i-1][j]
  for j in range(13):
    dp[i][j]%=mod
print(dp[n-1][5])

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
n=len(s)
mod=10**9+7
dp=[[0 for i in range(13)] for j in range(n)]
if s[0]=='?':
    dp[0]=[1,1,1,1,1,1,1,1,1,1,0,0,0]
else:
    dp[0][int(s[0])]=1
for i in range(1,n):
    if s[i]!='?':
        for j in range(13):
            dp[i][(10*j+int(s[i]))%13]+=dp[i-1][j]
    else:
        for j in range(13):
            for k in range(10):
                dp[i][(10*j+k)%13]+=dp[i-1][j]
print(dp[n-1][5]%mod)

Fixed submission:
s=input()
n=len(s)
mod=10**9+7
dp=[[0 for i in range(13)] for i in range(n)]
if s[0]=="?":
  for i in range(10):
    dp[0][i]=1
else:
  dp[0][int(s[0])]=1
for i in range(1,n):
  if s[i]=="?":
    for j in range(13):
      for k in range(10):
        dp[i][(10*j+k)%13]+=dp[i-1][j]
  else:
    for j in range(13):
      dp[i][(10*j+int(s[i]))%13]+=dp[i-1][j]
  for j in range(13):
    dp[i][j]%=mod
print(dp[n-1][5])
Buggy python submission (verdict: Runtime Error):
import bisect
n=int(input())
h=[]
for i in range(n):
  a=int(input())
  if len(h)==0:
    h.append(-1*a)
  elif (-1)*a>=h[-1]:
    h.append(-1*a)
  else:
    index=bisect.bisect_right(h,-1*a)
    h[index]=-1*a
  print(h)
print(len(h))

Fixed submission:
import bisect
n=int(input())
h=[]
for i in range(n):
  a=int(input())
  if len(h)==0:
    h.append(-1*a)
  elif (-1)*a>=h[-1]:
    h.append(-1*a)
  else:
    index=bisect.bisect_right(h,-1*a)
    h[index]=-1*a
print(len(h))

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=[-1]
for _ in range(n):
    x=int(input())
    if a[-1]>=x:
        a.append(x)
    else:
        for i in range(len(a)):
            if a[i]<x:
                a[i]=x
                break
print(len(a))

Fixed submission:
import bisect
n=int(input())
h=[]
for i in range(n):
  a=int(input())
  if len(h)==0:
    h.append(-1*a)
  elif (-1)*a>=h[-1]:
    h.append(-1*a)
  else:
    index=bisect.bisect_right(h,-1*a)
    h[index]=-1*a
print(len(h))

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=[-1]
for _ in range(n):
    x=int(input())
    if a[-1]>=x:
        a.append(x)
    else:
        for i in range(len(a)):
            if a[i]<x:
                a[i]=x
                break
    a.sort(reverse=True)
print(len(a))

Fixed submission:
import bisect
n=int(input())
h=[]
for i in range(n):
  a=int(input())
  if len(h)==0:
    h.append(-1*a)
  elif (-1)*a>=h[-1]:
    h.append(-1*a)
  else:
    index=bisect.bisect_right(h,-1*a)
    h[index]=-1*a
print(len(h))
Buggy python submission (verdict: Runtime Error):
import math
from operator import mul
from functools import reduce

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return max(0,over//under)

n,k=map(int,input().split())
mod=10**9+7
for i in range(1,k+1):
  print(cmb(k-1,i-1)*cmb(n-k+1,i)%mod)


Fixed submission:
import math
from operator import mul
from functools import reduce

def cmb(n,r):
  if n>=r:
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return max(0,over//under)
  else:
    return 0

n,k=map(int,input().split())
mod=10**9+7
for i in range(1,k+1):
  print(cmb(k-1,i-1)*cmb(n-k+1,i)%mod)

Buggy python submission (verdict: Runtime Error):
import math
from operator import mul
from functools import reduce

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

n,k=map(int,input().split())
mod=10**9+7
for i in range(1,k+1):
  print(cmb(k-1,i-1)*cmb(n-k+1,i)%mod)

Fixed submission:
import math
from operator import mul
from functools import reduce

def cmb(n,r):
  if n>=r:
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return max(0,over//under)
  else:
    return 0

n,k=map(int,input().split())
mod=10**9+7
for i in range(1,k+1):
  print(cmb(k-1,i-1)*cmb(n-k+1,i)%mod)
Buggy python submission (verdict: Runtime Error):
from collections import Counter
n=int(input())
x=[]
y=[]
for i in range(n):
  a,b=map(int,input().split())
  x.append(a)
  y.append(b)
cost=n
list=[]
for i in range(n):
  for j in range(n):
    if i != j:
      list.append([x[i]-x[j],y[i]-y[j]])
c=Counter(map(tuple, list))
mode=c.most_common(1)
print(cost-mode[0][1])

Fixed submission:
from collections import Counter
n=int(input())
x=[]
y=[]
for i in range(n):
  a,b=map(int,input().split())
  x.append(a)
  y.append(b)
cost=n
list=[]
for i in range(n):
  for j in range(n):
    if i != j:
      list.append([x[i]-x[j],y[i]-y[j]])

if n ==1:
  print(cost)
else:
  c=Counter(map(tuple, list))
  mode=c.most_common(1)
  print(cost-mode[0][1])
Buggy python submission (verdict: Runtime Error):
n,a,b,c,d=map(int,input().split())
s=input()
for i in range(a-1:c-1):
  if s[i:i+2]=='##':
    print('No')
    exit()
for i in range(b-1:d-1):
  if s[i:i+2]=='##':
    print('No')
    exit()
if c<d:
  print('Yes')
else:
  for i in range(b-1:c-1):
    if s[i:i+3]=='...':
      print('Yes')
      exit()
  print('No')


Fixed submission:
n,a,b,c,d=map(int,input().split())
s=input()
for i in range(a-1,c-1):
  if s[i:i+2]=='##':
    print('No')
    exit()
for i in range(b-1,d-1):
  if s[i:i+2]=='##':
    print('No')
    exit()
if c<d:
  print('Yes')
else:
  for i in range(b-2,d-1):
    if s[i:i+3]=='...':
      print('Yes')
      exit()
  print('No')

Buggy python submission (verdict: Runtime Error):
n,a,b,c,d=map(int,input().split())
s=input()
sb=s[b-1:d]
nb=len(sb)
for i in range(nb-1):
  if sb[i:i+2]=='##':
    print('No')
    exit()
  else:
    s[d-1]='#'
    
sa=s[a-1:c]
na=len(sa)
for i in range(na-1):
  if sa[i:i+2]=='##':
    print('No')
    exit()
  else:
    print('Yes')

Fixed submission:
n,a,b,c,d=map(int,input().split())
s=input()
for i in range(a-1,c-1):
  if s[i:i+2]=='##':
    print('No')
    exit()
for i in range(b-1,d-1):
  if s[i:i+2]=='##':
    print('No')
    exit()
if c<d:
  print('Yes')
else:
  for i in range(b-2,d-1):
    if s[i:i+3]=='...':
      print('Yes')
      exit()
  print('No')
Buggy python submission (verdict: Runtime Error):
r,D,x_2000=map(int,input().split())
x=[x_2000]
for i in range(10):
  y=List[i]*r-D
  List.append(y)
  print(List[i+1])



Fixed submission:
r,D,x_2000=map(int,input().split())
x=[x_2000]
for i in range(10):
  y=x[i]*r-D
  x.append(y)
  print(x[i+1])
Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
count=0
x=[]
for i in range(m):
  l,r=map(int,input().split())
  x.append([l,r])
  
for j in range(1,n+1):
  for k in range(m):
    if x[k,0]<=j:
      if x[k,1]>=j:
        count+=1
        
print(count)

Fixed submission:
n,m=map(int,input().split())
listl=[]
listr=[]
for i in range(m):
  l,r=map(int,input().split())
  listl.append(l)
  listr.append(r)
maxl=max(listl)
minr=min(listr)
if minr-maxl+1>=1:
  print(minr-maxl+1)
else:
  print(0)

Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
count=0
for j in range(1,n+1):
  for i in range(m):
    l,r=map(int,input().split())
    if l<=j:
      if j<=r:
        count+=1
print(count)

Fixed submission:
n,m=map(int,input().split())
listl=[]
listr=[]
for i in range(m):
  l,r=map(int,input().split())
  listl.append(l)
  listr.append(r)
maxl=max(listl)
minr=min(listr)
if minr-maxl+1>=1:
  print(minr-maxl+1)
else:
  print(0)
Buggy python submission (verdict: Runtime Error):
import heapq
n,m=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
d=[]
for i in range(m):
  b,c=map(int,input().split())
  d.append([b,c])
d=sorted(d, key=lambda x: x[1], reverse=True)
i=0
j=d[0][1]
k=0
while a[i]<j and i<n:
  a[i]=j
  d[k][0]-=1
  if d[k][0]==0:
    k+=1
    if k==m:
      print(sum(a))
      exit()
    else:
      j=d[k][1]
  i+=1
print(sum(a))

Fixed submission:
n,m=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
d=[]
for i in range(m):
  b,c=map(int,input().split())
  d.append([b,c])
d=sorted(d, key=lambda x: x[1], reverse=True)
i=0
j=d[0][1]
k=0
while a[i]<j:
  a[i]=j
  d[k][0]-=1
  if d[k][0]==0:
    k+=1
    if k==m:
      break
    else:
      j=d[k][1]
  i+=1
  if i==n:
    break
print(sum(a))

Buggy python submission (verdict: Runtime Error):
import heapq
n,m=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
d=[]
for i in range(m):
  b,c=map(int,input().split())
  d.append([b,c])
d=sorted(d, key=lambda x: x[1], reverse=True)
i=0
j=d[0][1]
k=0
while a[i]<j and i<n:
  a[i]=j
  d[k][0]-=1
  if d[k][0]==0:
    k+=1
    if k==m:
      break
    else:
      j=d[k][1]
  i+=1
print(sum(a))

Fixed submission:
n,m=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
d=[]
for i in range(m):
  b,c=map(int,input().split())
  d.append([b,c])
d=sorted(d, key=lambda x: x[1], reverse=True)
i=0
j=d[0][1]
k=0
while a[i]<j:
  a[i]=j
  d[k][0]-=1
  if d[k][0]==0:
    k+=1
    if k==m:
      break
    else:
      j=d[k][1]
  i+=1
  if i==n:
    break
print(sum(a))

Buggy python submission (verdict: Runtime Error):
import heapq
n,m=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
d=[]
for i in range(m):
  b,c=map(int,input().split())
  d.append([b,c])
d=sorted(d, key=lambda x: x[1], reverse=True)
i=0
j=d[0][1]
k=0
while a[i]<j and i<n:
  a[i]=j
  d[k][0]-=1
  if d[k][0]==0:
    k+=1
    j=d[k][1]
  i+=1
print(sum(a))

Fixed submission:
n,m=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
d=[]
for i in range(m):
  b,c=map(int,input().split())
  d.append([b,c])
d=sorted(d, key=lambda x: x[1], reverse=True)
i=0
j=d[0][1]
k=0
while a[i]<j:
  a[i]=j
  d[k][0]-=1
  if d[k][0]==0:
    k+=1
    if k==m:
      break
    else:
      j=d[k][1]
  i+=1
  if i==n:
    break
print(sum(a))

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
n,m=map(int,input().split())
a=list(map(int,input().split()))
heapq.heapify(a)
for i in range(m):
  b,c=map(int,input().split())
  for j in range(b):
    x=a[0]
    if x<c:
      heapq.heappop(a)
      heapq.heappush(a, c)
    else:
      break
print(sum(a))

Fixed submission:
n,m=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
d=[]
for i in range(m):
  b,c=map(int,input().split())
  d.append([b,c])
d=sorted(d, key=lambda x: x[1], reverse=True)
i=0
j=d[0][1]
k=0
while a[i]<j:
  a[i]=j
  d[k][0]-=1
  if d[k][0]==0:
    k+=1
    if k==m:
      break
    else:
      j=d[k][1]
  i+=1
  if i==n:
    break
print(sum(a))
Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
p=float(0.0)
for i in range(1,n+1):
  divide=float(k/i)
  howmany=max(math.ceil(math.log(divide,2)),0)
  p+=1/(n*(2**howmany))
print(p)

Fixed submission:
n,k=map(int,input().split())
p=float(0.0)
for i in range(1,n+1):
  howmany=0
  while i<k:
    i*=2
    howmany+=1
  p+=1/(n*(2**howmany))
print(p)

Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
p=float(0)
for i in range(1,n+1):
  divide=float(k/i)
  howmany=math.ceil(math.log(divide,2))
  p+=1/(n*(2**howmany))
print(p)


Fixed submission:
n,k=map(int,input().split())
p=float(0.0)
for i in range(1,n+1):
  howmany=0
  while i<k:
    i*=2
    howmany+=1
  p+=1/(n*(2**howmany))
print(p)

Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
p=float(0)
for i in range(1,n+1):
  divide=float(k//i)
  howmany=math.ceil(math.log(divide,2))
  p+=(1//n)*(0.5**howmany)
print(p)

Fixed submission:
n,k=map(int,input().split())
p=float(0.0)
for i in range(1,n+1):
  howmany=0
  while i<k:
    i*=2
    howmany+=1
  p+=1/(n*(2**howmany))
print(p)