Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())

if k == 0:
	print(n**2)
	exit()
    
ans = 0
for b in range(k+1, n+1):
	p = n//b
	r = n%b
    
    ans += p*(b-k)-1
    ans += max(0, r-k+1)
print(ans)

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

if k == 0:
    print(n**2)
    exit()
    
ans = 0
for b in range(k+1, n+1):
    ans_bk = (n-k)//b+1
    ans_b = ans_bk*(b-k)
    
    mod_k_max = ((n-k)//b)*b+k
    if n-mod_k_max+1 < b-k:
        ans_b -= ((b-k) - (n-mod_k_max+1))
    # print(ans_b)
    ans += ans_b
            
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
h, w, d = list(map(int, input().split()))
a = [list(map(int, input().split())) for _ in range(h)]
q = int(input())
lr = [list(map(int, input().split())) for _ in range(q)]

a_and_pos = {}
for i in range(h):
    for j in range(w):
        a_and_pos[a[i][j]] = (i, j)

for l, r in lr:
    ans = 0
    x = l
    i, j = a_and_pos[l]
    while x != r:
        i_next, j_next = a_and_pos[x+d]
        ans = ans +  abs(i_next-i) + abs(j_next-j)
        i, j = i_next, j_next
        x += d
    print(ans)


Fixed submission:
h, w, d = list(map(int, input().split()))
a = [list(map(int, input().split())) for _ in range(h)]
q = int(input())
lr = [list(map(int, input().split())) for _ in range(q)]

a_and_pos = {}
for i in range(h):
    for j in range(w):
        a_and_pos[a[i][j]] = (i, j)

costs = [0]*(h*w+1)
for x in range(d+1, h*w+1):
    i_prev, j_prev = a_and_pos[x-d]
    i, j = a_and_pos[x]
    costs[x] = costs[x-d] + abs(i-i_prev) + abs(j-j_prev)
# print(costs)

for l, r in lr:
    print(costs[r] - costs[l])
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = int(input())

ans = 'No'
for i in range(a+1):
    if (n-i)%500 == 0:
        ans = 'Yes'
        break
print(ans)


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

p_a = sum(sorted(a, reverse = True)[::2])
p_b = sum(a) - p_a
print(p_a - p_b)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n, k = list(map(int, input().split()))

def get_bound(x):
    if x < k-1:
        return [(0, x+1), (x+k+1, 2*k)]
    else:
        return [(x-k+1, x+1)]

blacks = np.zeros((2*k+1, 2*k+1))
for _ in range(n):
    x, y, c = input().split()
    x = int(x)%(2*k)
    y = int(y)%(2*k) if c == 'B' else (int(y)+k)%(2*k)

    for shift in [0, k]:
        for b, t in get_bound((y+shift)%(2*k)):
            for l, r in get_bound((x+shift)%(2*k)):
                blacks[b, l] += 1
                blacks[t, l] -= 1
                blacks[b, r] -= 1
                blacks[t, r] += 1
        
ans = np.max(np.cumsum(np.cumsum(blacks, axis = 1), axis = 0))
print(int(ans))


Fixed submission:
import numpy as np
n, k = list(map(int, input().split()))

def get_bound(x):
    if x < k-1:
        return [(0, x+1), (x+k+1, 2*k)]
    else:
        return [(x-k+1, x+1)]

blacks = [[0]*(2*k+1) for _ in range(2*k+1)]
for _ in range(n):
    x, y, c = input().split()
    x = int(x)%(2*k)
    y = int(y)%(2*k) if c == 'B' else (int(y)+k)%(2*k)

    for shift in [0, k]:
        for b, t in get_bound((y+shift)%(2*k)):
            for l, r in get_bound((x+shift)%(2*k)):
                blacks[b][l] += 1
                blacks[t][l] -= 1
                blacks[b][r] -= 1
                blacks[t][r] += 1
        
ans = np.max(np.cumsum(np.cumsum(blacks, axis = 1), axis = 0))
print(int(ans))
Buggy python submission (verdict: Runtime Error):
a, b = list(map(int, input().slpit()))
s = input().split('-')

if len(s) != 2:
    print('No')
elif len(s[0]) == a and len(s[1]) == b:
    print('Yes')
else:
    print('No')


Fixed submission:
a, b = list(map(int, input().split()))
s = input().split('-')

if len(s) != 2:
    print('No')
elif len(s[0]) == a and len(s[1]) == b:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Time Limit Exceeded):
T_MAX = 10**5
n, nc = list(map(int, input().split()))
stc = [list(map(int, input().split())) for _ in range(n)]

nrecs = [0]*(2*T_MAX+1)
for c in range(1, nc+1):
    rec = [0]*(2*T_MAX+1)
    for i in range(n):
        if stc[i][2] == c:
            rec[stc[i][0]*2-1] += 1
            rec[stc[i][1]*2] -= 1
    for i in range(1, 2*T_MAX+1):
        rec[i] += rec[i-1]
    for i in range(2*T_MAX+1):
        if rec[i] > 0:
            nrecs[i] += 1
    
print(max(nrecs))


Fixed submission:
T_MAX = 10**5
n, nc = list(map(int, input().split()))
stc = [list(map(int, input().split())) for _ in range(n)]

recs = [[0]*(T_MAX+1) for c in range(nc+1)]
for s, t, c in stc:
    recs[c][s-1:t] = [1]*(t-s+1)

ans = max(map(sum, zip(*recs)))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
T_MAX = 10**5
n, nc = list(map(int, input().split()))
stc = [list(map(int, input().split())) for _ in range(n)]

recs = [[0]*(2*T_MAX+1) for i in range(nc)]
for i in range(n):
    s, t, c = stc[i]
    recs[c-1][2*s-1] += 1
    recs[c-1][2*t] -= 1

nrecs = [0]*(2*T_MAX+1)
for c in range(nc):
    for i in range(1, 2*T_MAX+1):
        recs[c][i] += recs[c][i-1]
        if recs[c][i] > 0:
            nrecs[i] += 1
    
print(max(nrecs))


Fixed submission:
T_MAX = 10**5
n, nc = list(map(int, input().split()))
stc = [list(map(int, input().split())) for _ in range(n)]

recs = [[0]*(T_MAX+1) for c in range(nc+1)]
for s, t, c in stc:
    recs[c][s-1:t] = [1]*(t-s+1)

ans = max(map(sum, zip(*recs)))
print(ans)

Buggy python submission (verdict: Runtime Error):
T_MAX = 10**5
n, nc = list(map(int, input().split()))
stc = [list(map(int, input().split())) for _ in range(n)]

rec = [0]*(2*T_MAX+1)
for i in range(n):
    s, t, c = stc[i]
    rec[2*s-1] += 1
    rec[2*t+1] -= 1

for i in range(1, len(rec)):
    rec[i] += rec[i-1]
# print(rec[:100])

print(max(rec))


Fixed submission:
T_MAX = 10**5
n, nc = list(map(int, input().split()))
stc = [list(map(int, input().split())) for _ in range(n)]

recs = [[0]*(T_MAX+1) for c in range(nc+1)]
for s, t, c in stc:
    recs[c][s-1:t] = [1]*(t-s+1)

ans = max(map(sum, zip(*recs)))
print(ans)
Buggy python submission (verdict: Runtime Error):
a, b, c, d = list(map(int, list(input())))

ops = {'+', '-'}

for op1 in ops:
    if op1 == '+': ab = a+b
    else: ab = a-b
    
    for op2 in ops:
        if op2 == '+': abc = ab+c
        else: abc = ab-c
        
        for op3 in ops:
            if op3 == '+': abcd = abc+d
            else: abcd = abc-d

            if abcd == 7:
                print(f'{a}{op1}{b}{op2}{c}{op3}{d}=7')
                exit()

Fixed submission:
a, b, c, d = list(map(int, list(input())))

ops = {'+', '-'}

for op1 in ops:
    if op1 == '+': ab = a+b
    else: ab = a-b
    
    for op2 in ops:
        if op2 == '+': abc = ab+c
        else: abc = ab-c
        
        for op3 in ops:
            if op3 == '+': abcd = abc+d
            else: abcd = abc-d

            if abcd == 7:
                a, b, c, d = map(str, [a, b, c, d])
                print(a+op1+b+op2+c+op3+d+'=7')
                exit()
Buggy python submission (verdict: Time Limit Exceeded):
import heapq
n = int(input())
a = [list(map(int, input().split())) for _ in range(n)]

from scipy.sparse.csgraph import floyd_warshall
a_opt = floyd_warshall(a)
# for i in range(n): print(a[i], a_opt[i])

def solve():
    ans = 0
    for i in range(n):
        for j in range(i+1, n):
            if a_opt[i][j] < a[i][j]:
                print(-1)
                return
            else:
                d = a[i][j]
                for k in range(n):
                    if k in [i, j]:
                        continue
                    elif a[i][k]+a[k][j] == d:
                        d = 0
                ans += d
    print(ans)
    return

solve()


Fixed submission:
import numpy as np
from scipy.sparse.csgraph import floyd_warshall
INF = 10**9

n = int(input())
a = np.array([list(map(int, input().split())) for _ in range(n)])
a_opt = floyd_warshall(a)
# for i in range(n): print(a[i], a_opt[i])

for i in range(n):
    a[i][i] = INF
    
ans = 0
for i in range(n):
    for j in range(i+1, n):
        if a_opt[i][j] < a[i][j]:
            print(-1)
            exit()
        else:
            d = a[i][j]
            if d < np.min(a[i]+a[j]):
                ans += d
                
            # Straight solution, but TLE in python
            # for k in range(n):
            #     if k in [i, j]:
            #         continue
            #     elif a[i][k]+a[k][j] == d:
            #         d = 0
            # ans += d
print(ans)
Buggy python submission (verdict: Runtime Error):
MOD = 10**9+7
facts = [1]
for i in range(1, 10**5+1):
    facts.append((i*facts[i-1])%MOD)
def nCk(n, k):
    if n < k or n == 0: return 0
    return (facts[n]*pow(facts[k], MOD-2, MOD)%MOD * pow(facts[n-k], MOD-2, MOD))%MOD

n = int(input())
a = list(map(int, input().split()))

# Search doubling number and its indexes
indexes = [[] for _ in range(n+1)] # 0 to n:max(a)
for i in range(n+1):
    indexes[a[i]].append(i)
for idx in indexes:
    if len(idx) == 2: idxs = sorted(idx)

for k in range(1, n+1+1):
    p_all = nCk(n+1, k)
    p_double = nCk(n+1-(idxs[1]-idxs[0]+1), k-1)
    print((p_all-p_double)%MOD)


Fixed submission:
MOD = 10**9+7
facts = [1]
for i in range(1, 10**5+2):
    facts.append((i*facts[i-1])%MOD)
def nCk(n, k):
    if n < k: return 0
    return (facts[n]*pow(facts[k], MOD-2, MOD)%MOD * pow(facts[n-k], MOD-2, MOD))%MOD

n = int(input())
a = list(map(int, input().split()))

# Search doubling number and its indexes
indexes = [[] for _ in range(n+1)] # 0 to n:max(a)
for i in range(n+1):
    indexes[a[i]].append(i)
for idx in indexes:
    if len(idx) == 2: idxs = sorted(idx)

for k in range(1, n+1+1):
    p_all = nCk(n+1, k)
    p_double = nCk(n+1-(idxs[1]-idxs[0]+1), k-1)
    print((p_all-p_double)%MOD)
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int, input().split()))

rates = [0]*9
for i in range(n):
  rates[a[i]//400] += 1

n_min, n_max = 0, 0
if max(rates[:-1]) > 0:
  for i in range(8):
    n_min += 1 if rates[i] > 0 else 0
  n_max = n_min+rates[-1]
else:
  n_min = 1
  n_max = rates[-1]

print(n_min, n_max)

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

color = [0]*9
for i in range(n):
    rate = min(a[i]//400, 8)
    color[rate] += 1

ans_min = 0
color_min = copy.deepcopy(color)
for c in color_min[:-1]:
    if c > 0:
        ans_min += 1
ans_min = max(1, ans_min)

ans_max = 0
color_max = copy.deepcopy(color)
for c in color_max[:-1]:
    if c > 0:
        ans_max += 1
ans_max += color_max[-1]

print(ans_min, ans_max)

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

rates = [0]*9
for i in range(n):
  rates[a[i]//400] += 1

n_min, n_max = 0, 0
if min(rates[:-1]) > 0:
  for i in range(8):
    n_min += 1 if rates[i] > 0 else 0
  n_max = n_min+rates[-1]
else:
  n_min = 1
  n_max = rates[-1]

print(n_min, n_max)

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

color = [0]*9
for i in range(n):
    rate = min(a[i]//400, 8)
    color[rate] += 1

ans_min = 0
color_min = copy.deepcopy(color)
for c in color_min[:-1]:
    if c > 0:
        ans_min += 1
ans_min = max(1, ans_min)

ans_max = 0
color_max = copy.deepcopy(color)
for c in color_max[:-1]:
    if c > 0:
        ans_max += 1
ans_max += color_max[-1]

print(ans_min, ans_max)
Buggy python submission (verdict: Runtime Error):
n = int(input())
s = input()

n_left = 0
ans = s
for i in range(n):
  if s[i] == '(':
    n_left += 1
  elif s[i] == ')':
	if n_left == 0:
      ans = '(' + ans
    else:
      n_left -= 1
for i in range(n_left):
  ans += ')'
print(ans)

Fixed submission:
n = int(input())
s = input()

ans = s
n_left, n_right = 0, 0
for ss in s:
    if ss == '(':
        n_left += 1
    else:
        if n_left > 0:
            n_left -= 1
        else:
            ans = '('+ans
if n_left > 0:
    for _ in range(n_left): ans += ')'

print(ans)
Buggy python submission (verdict: Runtime Error):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(n)]
cd = [list(map(int, input().split())) for _ in range(m)]

for a, b in ab:
    min_dist = 2*10**8
    for i, (c, d) in enumerate(cd):
        dist = abs(a-c)+abs(b-d)
        if dist < min_dist:
            min_dist = dist
            ans = i+1
    print(ans)

Fixed submission:
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(n)]
cd = [list(map(int, input().split())) for _ in range(m)]

for a, b in ab:
    min_dist = 4*10**8+1
    for i, (c, d) in enumerate(cd):
        dist = abs(a-c)+abs(b-d)
        if dist < min_dist:
            min_dist = dist
            ans = i+1
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n, m = list(map(int, input().split()))
connect = {}
dist = {}
for _ in range(m):
    a, b, c = list(map(int, input().split()))
    if not a in connect.keys(): connect[a] = [b]
    else: connect[a].append(b)
    if not b in connect.keys(): connect[b] = [a]
    else: connect[b].append(a)
    
    dist[tuple(sorted([a, b]))] = c

ans = 0
for s in range(1, n):
    for t in range(s+1, n+1):
        if not (s, t) in dist.keys():
            continue
        
        dists = [1000]*(n+1)
        dists[s] = 0
        stack = [(s, sc) for sc in connect[s]]
        while len(stack) > 0:
            s0, s1 = stack[0]
            stack = stack[1:]
            if dists[s0]+dist[tuple(sorted((s0, s1)))] >= dists[s1]:
                continue
            else:
                dists[s1] = dists[s0]+dist[tuple(sorted((s0, s1)))]
                for s2 in connect[s1]:
                    stack.append((s1, s2))
        # print(dists)
        if dists[t] < dist[(s, t)]:
            ans += 1

print(ans)

Fixed submission:
n, m = list(map(int, input().split()))
dist_given = {}
dist = [[1000]*(n+1) for _ in range(n+1)]
for i in range(1, n+1): dist[i][i] = 0
for _ in range(m):
    a, b, c = list(map(int, input().split()))
    dist[a][b] = c
    dist[b][a] = c
    dist_given[tuple(sorted([a, b]))] = c

for k in range(1, n+1):
    for i in range(1, n+1):
        for j in range(1, n+1):
            dist[i][j] = min(dist[i][j], dist[i][k]+dist[k][j])
# print(dist)
ans = 0
for i in range(1, n):
    for j in range(i+1, n+1):
        if (i, j) in dist_given.keys() and dist[i][j] < dist_given[(i, j)]:
            ans += 1
print(ans)
Buggy python submission (verdict: Runtime Error):
MOD = int(10**9+7)
n = int(input())
a = list(map(int, input().split()))
a = sorted(a)

if n%2 == 0:
    valid = True
    for i in range(n):
        if i%2 == 0: v = i+1
        else: v = i
        if a[i] != v:
            valid = False
            print(0)
            break
    if valid:
        print(int((2**(n/2))%MOD))

else:
    valid = True
    for i in range(n):
        if i%2 != 0: v = i+1
        else: v = i
        if a[i] != v:
            valid = False
            print(0)
            break
    if valid:
        print(int(2**((n-1)/2))%MOD)

Fixed submission:
MOD = 10**9+7
n = int(input())
a = list(map(int, input().split()))
a = sorted(a)

if n%2 == 0:
    valid = True
    for i in range(n):
        if i%2 == 0: v = i+1
        else: v = i
        if a[i] != v:
            valid = False
            print(0)
            break
    if valid:
        print(2**(n//2)%MOD)

else:
    valid = True
    for i in range(n):
        if i%2 != 0: v = i+1
        else: v = i
        if a[i] != v:
            valid = False
            print(0)
            break
    if valid:
        print(2**(n//2)%MOD)

Buggy python submission (verdict: Runtime Error):
MOD = int(10**9+7)
n = int(input())
a = list(map(int, input().split()))
a = sorted(a)

if n%2 == 0:
    a_valid = []
    for i in range(1, n, 2):
        a_valid += [i, i]
    if a == a_valid:
        print(int((2**(n/2))%MOD))
    else:
        print(0)
else:
    a_valid = [0]
    for i in range(2, n, 2):
        a_valid += [i, i]
    if a == a_valid:
        print(int((2**int(n/2))%MOD))
    else:
        print(0)        


Fixed submission:
MOD = 10**9+7
n = int(input())
a = list(map(int, input().split()))
a = sorted(a)

if n%2 == 0:
    valid = True
    for i in range(n):
        if i%2 == 0: v = i+1
        else: v = i
        if a[i] != v:
            valid = False
            print(0)
            break
    if valid:
        print(2**(n//2)%MOD)

else:
    valid = True
    for i in range(n):
        if i%2 != 0: v = i+1
        else: v = i
        if a[i] != v:
            valid = False
            print(0)
            break
    if valid:
        print(2**(n//2)%MOD)
Buggy python submission (verdict: Runtime Error):
n, t = list(map(int, input().split()))
a = list(map(int, input().split()))

remain_max = [a[-1]]*n
for i in range(1, n):
    remain_max[-(i+1)] = max(a[-i], remain_max[-i])

diffs = [0]*n
for i in range(n):
    diffs[i] = remain_max[i] - a[i]

max_diff = 0
ans = 0
for i in range(n):
    if diffs[i] > max_diff:
        max_diff = diffs[i]
        ans = 1
    elif diffs[i] == max_diff:
        ans1 += 1

print(ans)

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

remain_max = [a[-1]]*n
for i in range(1, n):
    remain_max[-(i+1)] = max(a[-i], remain_max[-i])

diffs1 = [0]*n
for i in range(n):
    diffs1[i] = remain_max[i] - a[i]

max_diff1 = 0
ans1 = 0
for i in range(n):
    if diffs1[i] > max_diff1:
        max_diff1 = diffs1[i]
        ans1 = 1
    elif diffs1[i] == max_diff1:
        ans1 += 1
# print(diffs1, ans1)

remain_min = [a[0]]*n
for i in range(1, n):
    remain_min[i] = min(a[i-1], remain_min[i-1])

diffs2 = [0]*n
for i in range(n):
    diffs2[i] = a[i] - remain_min[i]

max_diff2 = 0
ans2 = 0
for i in range(n):
    if diffs2[i] > max_diff2:
        max_diff2 = diffs2[i]
        ans2 = 1
    elif diffs2[i] == max_diff2:
        ans2 += 1
# print(diffs2, ans2)

print(min(ans1, ans2))
Buggy python submission (verdict: Time Limit Exceeded):
MOD = 10**9+7
from math import factorial
h, w, a, b = list(map(int, input().split()))
num_path = 0

def get_path(n, r):
    return factorial(n)//(factorial(n-r)*factorial(r))

y, x = h-a, b+1
while(True):
    path_0 = get_path((y+x-2), min(x-1, y-1))
    path_1 = get_path((h-y+w-x), min(h-y, w-x))
    # print(y, x, path_0, path_1)
    num_path = (num_path + path_0*path_1)%MOD

    y -= 1
    x += 1
    if y == 0 or x > w:
        break
    
print(num_path)


Fixed submission:
MOD = 10**9+7

h, w, a, b = list(map(int, input().split()))
ans = 0

facts = [1]
for i in range(1, h+w-1):
    facts.append((i*facts[i-1])%MOD)
# print(facts[:20])
    
def get_path(n, r):
    return (facts[n] * pow(facts[r], MOD-2, MOD)%MOD * pow(facts[n-r], MOD-2, MOD)%MOD) % MOD

y, x = h-a, b+1
while(True):
    path_0 = get_path(y+x-2, x-1)
    path_1 = get_path(h-y+w-x, w-x)
    # print(y, x, path_0, path_1)
    ans += (path_0*path_1)%MOD
    ans %= MOD

    y -= 1
    x += 1
    if y == 0 or x > w:
        break
    
print(ans)
Buggy python submission (verdict: Runtime Error):
s = list(map(int, input().split('/')))
if s[0] = 2018 and s[1] > 4:
  print("TBD")
elif s[0] >2018:
  print("TBD")
else : print("Heisei")

Fixed submission:
s = list(map(int, input().split('/')))
if s[0] == 2019 and s[1] > 4:
  print("TBD")
elif s[0] >2019:
  print("TBD")
else : print("Heisei")
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int,input().split())
A = list(map(int,input().split()))
change = [list(map(int,input().split())) for i in range(M)]
A.sort()
for i in range(M):
    for j in range(change[i][0]):
        while  A[j] < change[i][1]:
            A[j] = change[i][1]
    A.sort()

ans = 0
for a in A:
    ans += a
print(ans)

Fixed submission:
N, M = map(int,input().split())
A = list(map(int,input().split()))
B = [list(map(int,input().split())) for i in range(M)]
A.sort()
B.sort(reverse=True, key=lambda x: x[1])

cot = 0
add = 0
for b,c in B:
    cot += b
    if cot > N:
        add = N-cot+b
        A.extend([c]*add)
        break
    else:
        A.extend([c]*b)
print(sum(sorted(A, reverse=True)[:N]))
Buggy python submission (verdict: Runtime Error):
from fractions import gcd

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

a = sorted(A)
B = [a[0]]
C = []
for i in range(1,N):
    x = a[i]%a[0]
    if x != 0:
        B.append(x)
b =sorted(B)
for i in range(len(b)-1):
    y = math.gcd(b[i],b[-1])
    C.append(y)
    
if len(b) == 1:
    print(b[0])
else:
    print(min(C))

Fixed submission:
A,B = map(int, input().split())
b = []
for i in range(1,21):
    if B % i == 0:
        b.append(i)
if A in b:
    print(A+B)
else:
    print(B-A)
Buggy python submission (verdict: Runtime Error):
from fractions import gcd

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

a = sorted(A)
B = [a[0]]
C = []
for i in range(1,N):
    x = a[i]%a[0]
    if x != 0:
        B.append(x)
b =sorted(B)
for i in range(len(b)-1):
    y = math.gcd(b[i],b[-1])
    C.append(y)
    
if len(b) == 1:
    print(b[0])
else:
    print(min(C))

Fixed submission:
from fractions import gcd

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

a = sorted(A)
B = [a[0]]
C = []
for i in range(1,N):
    x = a[i]%a[0]
    if x != 0:
        B.append(x)
b =sorted(B)
for i in range(len(b)-1):
    y = gcd(b[i],b[-1])
    C.append(y)
    
if len(b) == 1:
    print(b[0])
else:
    print(min(C))

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

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

a = sorted(A)
B = [a[0]]
C = []
for i in range(1,N):
    x = a[i]%a[0]
    if x != 0:
        B.append(x)
b =sorted(B)
for i in range(len(b)-1):
    y = math.gcd(b[i],b[-1])
    C.append(y)
    
if len(b) == 1:
    print(b[0])
else:
    print(min(C))

Fixed submission:
from fractions import gcd

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

a = sorted(A)
B = [a[0]]
C = []
for i in range(1,N):
    x = a[i]%a[0]
    if x != 0:
        B.append(x)
b =sorted(B)
for i in range(len(b)-1):
    y = gcd(b[i],b[-1])
    C.append(y)
    
if len(b) == 1:
    print(b[0])
else:
    print(min(C))

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

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

mini = min(A)
ans = min(A)
for a in A:
    amari = a%mini
    if amari != 0:
        if amari < ans:
            ans = amari            
if mini - ans == 0:
    print(ans)
else:
    print(math.gcd(mini, ans))

Fixed submission:
from fractions import gcd

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

a = sorted(A)
B = [a[0]]
C = []
for i in range(1,N):
    x = a[i]%a[0]
    if x != 0:
        B.append(x)
b =sorted(B)
for i in range(len(b)-1):
    y = gcd(b[i],b[-1])
    C.append(y)
    
if len(b) == 1:
    print(b[0])
else:
    print(min(C))

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

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

mini = min(A)
ans = min(A)
for a in A:
    amari = a%mini
    if amari != 0:
        if amari < mini:
            ans = amari            
if mini - ans == 0:
    print(ans)
else:
    print(math.gcd(mini, ans))

Fixed submission:
from fractions import gcd

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

a = sorted(A)
B = [a[0]]
C = []
for i in range(1,N):
    x = a[i]%a[0]
    if x != 0:
        B.append(x)
b =sorted(B)
for i in range(len(b)-1):
    y = gcd(b[i],b[-1])
    C.append(y)
    
if len(b) == 1:
    print(b[0])
else:
    print(min(C))
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int,input().split())
X = list(map(int,input().split()))

x = []
for i in range(M):
    j = X[i]-min(X)
    x.append(j)
x =sorted(x)

y = []
for i in range(M-1):
    m = x[i+1] - x[i]
    y.append(m)
y = sorted(y)

z = 0
for i in range(len(y)-N+1):
    z += y[i]
print(z)

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

X =sorted(X)

y = []
for i in range(M-1):
    m = X[i+1] - X[i]
    y.append(m)
y = sorted(y)

z = 0
for i in range(len(y)-N+1):
    z += y[i]
print(z)