Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()
    
    n, m = map(int, input().split())
    from heapq import heappop, heappush, heapreplace
    a = list(map(int, input().split()))
    from collections import Counter as cc
    a = cc(a)
    q = []
    for key in a:
        heappush(q, (key, a[key]))
    for i in range(m):
        b, c = map(int, input().split())
        now = b
        while 1:
            num, cnt = q[0]
            if c <= num: break
            
            if now >= cnt:
                now -= cnt
                heappop(q)
            else:
                heapreplace(q, (num, cnt-now))
                now = 0
                break
        if now != b:
            heappush(q, (c, b-now))
    ans = 0
    for num, cnt in q:
        ans += num*cnt
    print(ans)



if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()
    
    n, m = map(int, input().split())
    from heapq import heappop, heappush, heapreplace
    a = list(map(int, input().split()))
    from collections import Counter as cc
    a = cc(a)
    q = []
    for key in a:
        heappush(q, (key, a[key]))
    for i in range(m):
        b, c = map(int, input().split())
        now = b
        while q:
            num, cnt = q[0]
            if c <= num: break
            
            if now >= cnt:
                now -= cnt
                heappop(q)
            else:
                heapreplace(q, (num, cnt-now))
                now = 0
                break
        if now != b:
            heappush(q, (c, b-now))
    ans = 0
    for num, cnt in q:
        ans += num*cnt
    print(ans)



if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
import sys
import numpy as np
def input(): return sys.stdin.readline().rstrip()
def ii(): return int(input())
def mi(): return map(int, input().split())
def li(): return list(mi())


def main():
    n = ii()
    aa, bb = [], []        
    for i in range(n):
        a, b = mi()
        aa.append(a)
        bb.append(b)
    idxa = sorted(range(n), key=lambda x: aa[x])
    idxb = sorted(range(n), key=lambda x: bb[x])
    visted = [False]*n
    cura, curb = 0, 0
    t = 0
    ans = 0
    while cura < n-1 and curb < n-1:
        if t%2 == 0:
            while visted[idxb[curb]]:
                curb += 1
            ans += aa[idxb[curb]]
            visted[idxb[curb]]=True
        if t%2 == 1:
            while visted[idxa[cura]]:
                cura += 1
            ans -= bb[idxa[cura]]
            visted[idxa[cura]]=True
        t += 1
    print(ans)






if __name__ == '__main__':
    main()

Fixed submission:
import sys
import numpy as np
def input(): return sys.stdin.readline().rstrip()
def ii(): return int(input())
def mi(): return map(int, input().split())
def li(): return list(mi())


def main():
    n = ii()
    x = []  
    ans = 0     
    for i in range(n):
        a, b = mi()
        x.append(a+b)
        ans -= b
    x.sort(reverse=True)
    ans += sum(x[::2])    
    print(ans)






if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
import sys

# import os
# path = os.getcwd()
# path = os.path.join(path,"input.txt")
# sys.stdin = open(path)

input = sys.stdin.readline
N,K = map(int,input().split())
H = list(map(int,input().split()))
dp = [0].append([float('inf')]*(K))
for i in range(N-1):
    dp_ = dp.pop(0)
    if i >= N-K-1:
        dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j]) for j in range(N-i-1)]
        continue
    dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j])  for j in range(K)]
    dp.append(float("inf"))
    print(dp)

print(dp[0]) 

Fixed submission:
import sys



input = sys.stdin.readline
N = int(input())
H = list(map(int,input().split()))

dp = 0
i = 0
dp = [0]*(N)
for i in range(1,N):
    if i ==1:
        dp[i] = dp[i-1] + abs(H[i]-H[i-1])
        continue
    dp[i] = min(dp[i-1] + abs(H[i]-H[i-1]),dp[i-2] + abs(H[i]-H[i-2]))

print(dp[N-1])

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

import os
path = os.getcwd()
path = os.path.join(path,"input.txt")
sys.stdin = open(path)

input = sys.stdin.readline
N = int(input())
H = list(map(int,input().split()))

dp = 0
i = 0
while i<N-1:
    if i == N-2:
        dp += abs(H[N-1]-H[i])
        break
    if abs(H[i+1]-H[i]) < abs(H[i+2]-H[i]):
        dp += abs(H[i+1]-H[i])
        i += 1
    else:
        dp += abs(H[i+2]-H[i])
        i += 2
print(dp)
        

Fixed submission:
import sys



input = sys.stdin.readline
N = int(input())
H = list(map(int,input().split()))

dp = 0
i = 0
dp = [0]*(N)
for i in range(1,N):
    if i ==1:
        dp[i] = dp[i-1] + abs(H[i]-H[i-1])
        continue
    dp[i] = min(dp[i-1] + abs(H[i]-H[i-1]),dp[i-2] + abs(H[i]-H[i-2]))

print(dp[N-1])
Buggy python submission (verdict: Time Limit Exceeded):
import sys

# import os
# path = os.getcwd()
# path = os.path.join(path,"input.txt")
# sys.stdin = open(path)

input = sys.stdin.readline
N,K = map(int,input().split())
H = list(map(int,input().split()))
dp = [float('inf')]*(K)
dp.append(0)
dp = dp[::-1]
for i in range(N-1):
    dp_ = dp.pop(0)
    if i >= N-K-1:
        dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j]) for j in range(N-i-1)]
        continue
    dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j])  for j in range(K)]
    dp.append(float("inf"))

print(dp[0])
        

Fixed submission:
import sys

# import os
# path = os.getcwd()
# path = os.path.join(path,"input.txt")
# sys.stdin = open(path)

input = sys.stdin.readline
N,K = map(int,input().split())
H = list(map(int,input().split()))
dp = [float('inf')]*(K)
dp.append(0)
dp = dp[::-1]
for i in range(N-1):
    dp_ = dp.pop(0)
    if i >= N-K-1:
        dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j]) for j in range(N-i-1)]
        continue
    dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j])  for j in range(K)]
    dp.append(float("inf"))

print(dp[0])

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

# import os
# path = os.getcwd()
# path = os.path.join(path,"input.txt")
# sys.stdin = open(path)

input = sys.stdin.readline
N,K = map(int,input().split())
H = list(map(int,input().split()))
dp = [0]*(K+1)
for i in range(N-1):
    dp_ = dp.pop(0)
    if i >= N-K-1:
        dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j]) if dp[j] != 0 
                    else dp_+abs(H[i+j+1]-H[i]) for j in range(N-i-1)]
        continue
    dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j]) if dp[j] != 0 
                    else dp_+abs(H[i+j+1]-H[i]) for j in range(K)]
    dp.append(0)

print(dp[0])
        

Fixed submission:
import sys

# import os
# path = os.getcwd()
# path = os.path.join(path,"input.txt")
# sys.stdin = open(path)

input = sys.stdin.readline
N,K = map(int,input().split())
H = list(map(int,input().split()))
dp = [float('inf')]*(K)
dp.append(0)
dp = dp[::-1]
for i in range(N-1):
    dp_ = dp.pop(0)
    if i >= N-K-1:
        dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j]) for j in range(N-i-1)]
        continue
    dp = [min(dp_+abs(H[i+j+1]-H[i]),dp[j])  for j in range(K)]
    dp.append(float("inf"))

print(dp[0])
Buggy python submission (verdict: Runtime Error):
import sys

# import os
# path = os.getcwd()
# path = os.path.join(path,"input.txt")
# sys.stdin = open(path)

input = sys.stdin.readline
import numpy as np
N = int(input())
abc = np.zeros((N,3))
for i in range(N):
    abc[i] = list(map(int,input().split()))

dp = np.zeros((N,3))
for i in range(N):
    if i == 0:
        dp[i] = abc[i]
        continue
    dp_a,dp_b,dp_c = dp[i-1]
    dp[i] = abc[i] + [max(dp_b,dp_c),max(dp_a,dp_c),max(dp_a,dp_b)]
print(int(max(dp[N-1])))


Fixed submission:
import sys

# import os
# path = os.getcwd()
# path = os.path.join(path,"input.txt")
# sys.stdin = open(path)

input = sys.stdin.readline
import numpy as np
N = int(input())
abc = np.zeros((N,3))
for i in range(N):
    abc[i] = list(map(int,input().split()))

dp = np.zeros((N,3))
for i in range(N):
    if i == 0:
        dp[i] = abc[i]
        continue
    dp_a,dp_b,dp_c = dp[i-1]
    dp[i] = abc[i] + [max(dp_b,dp_c),max(dp_a,dp_c),max(dp_a,dp_b)]
print(int(max(dp[N-1])))
Buggy python submission (verdict: Runtime Error):
def main():
    import sys
    input = lambda: sys.stdin.buffer.readline().rstrip()
    n, w_max = map(int, input().split())
    import numpy as np

    dp = np.zeros(w_max+1, dtype=int)
    v,w = [],[]
    for i in range(n):
        w_, v_ = map(int, input().split())
        v.append(v_)
        w.append(w_)
    for i in range(n):
        print(np.maximum(dp[w[i]:], v[i]+dp[:-w[i]]))
        dp[w[i]:] = np.maximum(dp[w[i]:], v[i]+dp[:-w[i]])
    print(dp[-1]) 

if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys
    input = lambda: sys.stdin.buffer.readline().rstrip()
    n, w_max = map(int, input().split())
    import numpy as np

    v,w = [],[]
    for i in range(n):
        w_, v_ = map(int, input().split())
        v.append(v_)
        w.append(w_)
    dp = np.array([10**10]*(10**5+1),dtype=int)
    dp[0] = 0
    for i in range(n):
        dp[v[i]:] = np.minimum(dp[v[i]:], w[i]+dp[:-v[i]])
    ans = 0
    for i,w in enumerate(dp):
        if w<= w_max:
            ans = i
    print(ans)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
def main():
    import sys
    input = lambda: sys.stdin.buffer.readline().rstrip()
    n, w_max = map(int, input().split())
    import numpy as np

    dp = np.zeros(w_max+1, dtype=int)
    v,w = [],[]
    for i in range(n):
        v_, w_ = map(int, input().split())
        v.append(v_)
        w.append(w_)
    for i in range(n):
        dp[w[i]:] = np.maximum(dp[w[i]:], v[i]+dp[:-w[i]])
    print(dp[-1]) 

if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys
    input = lambda: sys.stdin.buffer.readline().rstrip()
    n, w_max = map(int, input().split())
    import numpy as np

    v,w = [],[]
    for i in range(n):
        w_, v_ = map(int, input().split())
        v.append(v_)
        w.append(w_)
    dp = np.array([10**10]*(10**5+1),dtype=int)
    dp[0] = 0
    for i in range(n):
        dp[v[i]:] = np.minimum(dp[v[i]:], w[i]+dp[:-v[i]])
    ans = 0
    for i,w in enumerate(dp):
        if w<= w_max:
            ans = i
    print(ans)


if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):

        
def main():
    import sys
    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    flag = 0
    for i in range(n):
        a = int(intput())
        flag &= (a%2 == 1)
    if flag:
        print('first')
    else:
        print('second')

    




                
if __name__ == '__main__':
    main()

Fixed submission:

        
def main():
    import sys
    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    flag = 0
    for i in range(n):
        a = int(input())
        if a%2 == 1:
            print('first')
            return
    print('second')


    




                
if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    a = list(map(int, input().split()))
    b = list(map(int, input().split()))
    s = 0
    sm = 0
    for x, y in zip(a,b):
        tmp = x-y
        sm += tmp
        if tmp == -1
            tmp = 0
        if tmp > 0:
            tmp *= 2
        s += tmp
    if s > 0 or sm > 0:
        print('No')
    else:
        print('Yes')

    
if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    a = list(map(int, input().split()))
    b = list(map(int, input().split()))
    s = 0
    sm = 0
    for x, y in zip(a,b):
        tmp = y-x
        sm += tmp
        if tmp > 0:
            tmp //= 2
        s += tmp
    if s >= 0 and sm >= 0:
        print('Yes')
    else:
        print('No')

    
if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    a = list(map(int, input().split()))
    b = list(map(int, input().split()))
    s = 0
    sm = 0
    for x, y in zip(a,b):
        tmp = x-y
        sm += tmp
        if tmp == -1
            tmp = 0
        if tmp > 0:
            tmp *= 2
        s += tmp
    if s > 0 or a > 0:
        print('No')
    else:
        print('Yes')

    
if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    a = list(map(int, input().split()))
    b = list(map(int, input().split()))
    s = 0
    sm = 0
    for x, y in zip(a,b):
        tmp = y-x
        sm += tmp
        if tmp > 0:
            tmp //= 2
        s += tmp
    if s >= 0 and sm >= 0:
        print('Yes')
    else:
        print('No')

    
if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
s = input()
t = input()
s = s[::-1]
t = t[::-1]
for i in range(len(s)):
  for j in range(len(t)):
    if s[i+j] != t[j] and s[i+j] != '?':
      break
  else:
    break
else:
  print('UNSTORERABLE')
  exit(0)
s = s[:i] + t + s[i+len(t):]
s = s.replace('?','a')
s = s[::-1]
print(s)

Fixed submission:
s = input()
t = input()
s = s[::-1]
t = t[::-1]
for i in range(len(s)-len(t)+1):
  for j in range(len(t)):
    if s[i+j] != t[j] and s[i+j] != '?':
      break
  else:
    break
else:
  print('UNRESTORABLE')
  exit(0)
s = s[:i] + t + s[i+len(t):]
s = s.replace('?','a')
s = s[::-1]
print(s)

Buggy python submission (verdict: Runtime Error):
s = input()
t = input()
s = s[::-1]
t = t[::-1]
for i in range(len(s)):
  for j in range(len(t)):
    if s[i+j] != t[j] and s[i+j] != '?':
      break
  else:
    break
s = s[:i] + t + s[i+len(t):]
s = s.replace('?','a')
s = s[::-1]
print(s)

Fixed submission:
s = input()
t = input()
s = s[::-1]
t = t[::-1]
for i in range(len(s)-len(t)+1):
  for j in range(len(t)):
    if s[i+j] != t[j] and s[i+j] != '?':
      break
  else:
    break
else:
  print('UNRESTORABLE')
  exit(0)
s = s[:i] + t + s[i+len(t):]
s = s.replace('?','a')
s = s[::-1]
print(s)
Buggy python submission (verdict: Runtime Error):
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    s = input()
    n = len(s)
    cur_l = 0
    cur_r = n-1
    ans = 0
    cnt = 0
    while cur_l < cur_r:
        while s[cur_l] == 'x':
            cnt += 1
            cur_l += 1
        while s[cur_r] != s[cur_l]:
            if s[cur_r] != 'x':
                print(-1)
                return
            cur_r -= 1
            cnt -= 1
        ans += abs(cnt)
        cur_l += 1
        cur_r -= 1
        cnt = 0
        
    print(ans)   
    
        

if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    s = input()
    n = len(s)
    sr = s.replace('x', '')
    if sr == '':
        print(0)
        return
    elif sr != sr[::-1]:
        print(-1)
        return
    cur_l = 0
    cur_r = n-1
    ans = 0
    cnt = 0
    while cur_l < cur_r:
        while s[cur_l] == 'x':
            cnt += 1
            cur_l += 1
        while s[cur_r] != s[cur_l]:
            cur_r-=1
            cnt -= 1
        ans += abs(cnt)
        cur_l += 1
        cur_r -= 1
        cnt = 0
        
    print(ans)   
    
        

if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    def gcd(x,y):
    r = x%y
    if r==0:
        return y
    return gcd(y, r)

    n, k =map(int, input().split())
    a = list(map(int, input().split()))
    a.sort(reverse=True)
    c = a[0]
    for i in range(n):
        c = gcd(a[i], c)
    if k%c == 0:
        print('POSSIBLE')
    else:
        print('IMPOSSIBLE')
    

    
if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    def gcd(x,y):
        r = x%y
        if r==0:
            return y
        return gcd(y, r)

    n, k =map(int, input().split())
    a = list(map(int, input().split()))
    a.sort(reverse=True)
    c = a[0]
    for i in range(n):
        c = gcd(a[i], c)
    if k%c == 0 and k <= a[0]:
        print('POSSIBLE')
    else:
        print('IMPOSSIBLE')
    

    
if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()
    
    n = int(input())
    a =list(map(int, input().split()))
    rate = [0]*8
    cnt = 0
    for x in a:
        r = x//400
        if r > 7:
            cnt += 1
        if not rate[r]:
            rate[r] = 1
    s = sum(rate)
    mins = s+max(0, cnt-s)
    maxs = s+cnt
    print(mins, maxs)        
        
            



if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()
    
    n = int(input())
    a = list(map(int, input().split()))
    rate = [0]*8
    cnt = 0
    for x in a:
        r = x//400
        if r > 7:
            cnt += 1
        elif not rate[r]:
            rate[r] = 1
    s = sum(rate)
    mins = s
    if cnt > 0:
        mins += 1
        if s > 0:
            mins -=1
    maxs = s+cnt
    print(mins, maxs)        
        
            



if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    a = map(int, input().split())
    mod = 10**9 + 7
    a.sort()
    check = [i+1 - (i+n)%2 for i in range(n)]
    if a != check:
        print(0)
        return
    else:
        ans = pow(2, n//2, mod)
        print(ans)




if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    a = list(map(int, input().split()))
    mod = 10**9 + 7
    a.sort()
    check = [i+1 - (i+n)%2 for i in range(n)]
    if a != check:
        print(0)
        return
    else:
        ans = pow(2, n//2, mod)
        print(ans)




if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    mod = 10**9 + 7
    a.sort()
    check = [i+1 - (i+n)%2 for i in range(n)]
    if a != check:
        print(0)
        return
    else:
        ans = pow(2, n//2, mod)
        print(ans)




if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys

    def input(): return sys.stdin.readline().rstrip()

    n = int(input())
    a = list(map(int, input().split()))
    mod = 10**9 + 7
    a.sort()
    check = [i+1 - (i+n)%2 for i in range(n)]
    if a != check:
        print(0)
        return
    else:
        ans = pow(2, n//2, mod)
        print(ans)




if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
#include<bits/stdc++.h>
#define rep(i, n) for (int i=0; i < n; i++)
typedef long long ll;
using namespace std;

int main()
{
    int n, a, b;
    cin >> n >> a >> b;
    int total = a + b;
    string s; cin >> s;
    int cnt = 0, cntb = 0;
    rep(i,n){
        string ans = "Yes";
        if (s[i] == 'c') {
            ans = "No";
        }
        else if (s[i] == 'a')
        {
            if (cnt < a+b) cnt++;
            else ans = "No";
        }
        else {
            cntb++;
            if (cnt < a+b && cntb <= b) cnt++;
            else ans = "No";
        }
        cout << ans << endl;
    }
}

Fixed submission:
def main():
    import sys
    def input(): return sys.stdin.readline().rstrip()
    n, a, b = map(int, input().split())
    s = input()
    for ch in s:
        ans = 'Yes'
        if ch == 'c':
            ans = 'No'
        elif ch == 'a':
            if a > 0:
                a -=1
            elif b > 0:
                b -= 1
            else:
                ans = 'No'
        else:
            if b > 0:
                b -= 1
            else:
                ans = 'No'
        print(ans)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
#include<bits/stdc++.h>
#define rep(i, n) for (int i=0; i < n; i++)
typedef long long ll;
using namespace std;

int main()
{
    int n, a, b;
    cin >> n >> a >> b;
    int total = a + b;
    string s; cin >> s;
    int cnt = 0, cntb = 0;
    rep(i,n){
        string ans = "Yes";
        if (s[i] == 'c') {
            ans = "No";
        }
        else if (s[i] == 'a')
        {
            if (cnt < a+b) cnt++;
            else ans = "No";
        }
        else {
            cntb++;
            if (cnt < a+b and cntb <= b) cnt++;
            else ans = "No";
        }
        cout << ans << endl;
    }
}

Fixed submission:
def main():
    import sys
    def input(): return sys.stdin.readline().rstrip()
    n, a, b = map(int, input().split())
    s = input()
    for ch in s:
        ans = 'Yes'
        if ch == 'c':
            ans = 'No'
        elif ch == 'a':
            if a > 0:
                a -=1
            elif b > 0:
                b -= 1
            else:
                ans = 'No'
        else:
            if b > 0:
                b -= 1
            else:
                ans = 'No'
        print(ans)


if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
a=int(input())
if n%2==1:
  print(str(((n-1)/2+1)/2)+"\n")
else:
  print(str(1/2)+"\n")

Fixed submission:
n=int(input())
if n%2==1:
  print(str(((n-1)/2+1)/n)+"\n")
else:
  print(str(1/2)+"\n")
Buggy python submission (verdict: Runtime Error):
import math
a,b,c=map(int,input().split())
print(max(a+b,a-b,a*b))

Fixed submission:
import math
a,b=map(int,input().split())
print(max(a+b,a-b,a*b))
Buggy python submission (verdict: Runtime Error):
x=int(input())

if x==3||x==5||x==7:
  print("YES"+"\n")
else:
  print("NO"+"\n")

Fixed submission:
x=int(input())
 
if x==3 or x==5 or x==7:
  print("YES"+"\n")
else:
  print("NO"+"\n")
Buggy python submission (verdict: Runtime Error):
def gcd(x, y):
    while (y):
        x, y = y, x % y
    return x
MOD = int(10e9 + 7)

n, k = map(int, input().split())
mem = {}
def dp(at, cur):
    if at == n:
        return cur
    if (at,cur) in mem:
        return mem[(at,cur)]
    sm = 0
    for i in range(1, k+1):
        sm += dp(at+1,gcd(cur, i))
    mem[(at,cur)] = sm % MOD
    return sm % MOD

sm = 0
for i in range(1, k+1):
    sm += dp(1, i)
print(sm % MOD)

Fixed submission:
MOD = 1000000007

n, k = map(int, input().split())
ans = [0 for i in range(k+1)]
for i in range(k,0,-1):
    t = 0
    for j in range(2*i, k+1, i):
        t = (t + ans[j]) % MOD
    ans[i] = (pow(k//i, n, MOD) - t + MOD) % MOD
sm = 0
for i in range(1, k+1):
    sm = (sm + (i*ans[i]) % MOD) % MOD
print(sm % MOD)
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
N=input()
A=list(map(int,input().split()))
p=10**9+7
ans=0
for i in list(combinations(A,2)):
    a=((i[0]%p)*(i[1]%p))%p
    ans+=a
    ans=ans%p
print(ans)

Fixed submission:
from itertools import accumulate
N=int(input())
A=list(map(int,input().split()))
p=10**9+7
ans=0
B=list(accumulate(A[::-1]))
for i,value in enumerate(A):
    if i==(N-1):
        break
    ans+=((value%p)*(B[-2-i]%p))%p
    ans=ans%p
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
K=input()
if int(K)%2==0:
    print(-1)
    sys.exit()

S=int('7'*(len(K)))
ans=len(K)
K=int(K)
for i in range(10**7):
    if S%K==0:
        print(ans)
        break
    else:
        S=(S*10)%K+7
        ans+=1
else:
    print(-1)

Fixed submission:
import sys
K=input()
if int(K)%2==0:
    print(-1)
    sys.exit()

S=int('7'*(len(K)))
ans=len(K)
K=int(K)
for i in range(10**6):
    if S%K==0:
        print(ans)
        break
    else:
        S=(S*10)%K+7
        ans+=1
else:
    print(-1)