Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N, Q = map(int, input().split())
S = input()
t = [0] * (N + 1)
for i in range(N):
    t[i + 1] = t[i] + (1 if S[i:i+2]=='AC' else 0)
for i in range(N):
    l, r = map(int, input().split())
    print(t[r-1] - t[l-1])

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

acl = [0]*(N+1)

for i in range(N):
    acl[i+1] = acl[i] + (1 if S[i:i+2] == "AC" else 0)

for _ in range(Q):
    l, r = map(int, input().split())
    print(acl[r-1] - acl[l-1])

Buggy python submission (verdict: Time Limit Exceeded):
import re
import sys
s = sys.stdin.readlines()
N, Q = map(int, s[0].split())
S = s[1]
acl = [0]*len(S)
ac_iter = re.finditer("AC", S)
for a in ac_iter:
    acl[a.span()[0]] = 1
for i in s[2:]:
    a, b = map(int, i.split())
    minus = 1 if acl[b-1] == 1 else 0
    print(sum(acl[a-1:b]) - minus)

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

acl = [0]*(N+1)

for i in range(N):
    acl[i+1] = acl[i] + (1 if S[i:i+2] == "AC" else 0)

for _ in range(Q):
    l, r = map(int, input().split())
    print(acl[r-1] - acl[l-1])

Buggy python submission (verdict: Time Limit Exceeded):
import re
import sys
s = sys.stdin.readlines()
N, Q = map(int, s[0].split())
S = s[1]
for i in s[2:]:
    a, b = map(int, i.split())
    print(len(re.findall("AC", S[a-1:b])))

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

acl = [0]*(N+1)

for i in range(N):
    acl[i+1] = acl[i] + (1 if S[i:i+2] == "AC" else 0)

for _ in range(Q):
    l, r = map(int, input().split())
    print(acl[r-1] - acl[l-1])

Buggy python submission (verdict: Time Limit Exceeded):
import re
import sys
s = sys.stdin.readlines()
N, Q = map(int, s[0].split())
S = s[1]
lr = list()
for i in s[2:]:
    lr.append(tuple(map(int, i.split())))
for i in lr:
    print(len(re.findall("AC", S[i[0]-1:i[1]])))

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

acl = [0]*(N+1)

for i in range(N):
    acl[i+1] = acl[i] + (1 if S[i:i+2] == "AC" else 0)

for _ in range(Q):
    l, r = map(int, input().split())
    print(acl[r-1] - acl[l-1])

Buggy python submission (verdict: Runtime Error):
import re
import sys
s = sys.stdin.readlines()
N, Q = map(int, s[0].split())
S = s[1]
for i in s[2:]:
    lr.append(tuple(map(int, i.split())))
    
for i in lr:
    print(len(re.findall("AC", S[i[0]-1:i[1]])))

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

acl = [0]*(N+1)

for i in range(N):
    acl[i+1] = acl[i] + (1 if S[i:i+2] == "AC" else 0)

for _ in range(Q):
    l, r = map(int, input().split())
    print(acl[r-1] - acl[l-1])

Buggy python submission (verdict: Time Limit Exceeded):
import re
N, Q = map(int, input().split())
S = input()
lr = list()
for _ in range(Q):
    lr.append(tuple(map(int, input().split())))
    
for i in lr:
    print(len(re.findall("AC", S[i[0]-1:i[1]])))

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

acl = [0]*(N+1)

for i in range(N):
    acl[i+1] = acl[i] + (1 if S[i:i+2] == "AC" else 0)

for _ in range(Q):
    l, r = map(int, input().split())
    print(acl[r-1] - acl[l-1])
Buggy python submission (verdict: Time Limit Exceeded):
A, B = map(int, input().split())

ans = A
for i in range(A+1, B+1):
    ans ^= i

print(ans)

Fixed submission:
A, B = map(int, input().split())
def func(x):
  a = (x+1) // 2
  b = a % 2
  c = x if (x+1) % 2 == 1 else 0
  return b^c
print(func(A-1)^func(B))
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
ab = [tuple(map(int, input().split())) for _ in range(M)]

class UnionFind:
    def __init__(self, size):
        self.rank = [-1]*(size+1)
        self.number = [1]*(size+1)
        
    def find(self, x):
        while self.rank[x] >= 0:
            x = self.rank[x]
        return x
    
    def union(self, a, b):
        if a == b:
            return
        if self.rank[a] == self.rank[b]:
            self.rank[b] = a
            self.rank[a] -= 1
            self.number[a] += self.number[b]
        elif self.rank[a] < self.rank[b]:
            self.rank[b] = a
            self.number[a] += self.number[b]
        else:
            self.rank[a] = b
            self.number[b] += sekf.number[a]
            
p = N * (N - 1) // 2
ans = [p]
uf = UnionFind(N)

for a, b in ab[::-1]:
    ar = uf.find(a)
    br = uf.find(b)
    
    if ar != br:
        p -= uf.number[ar] * uf.number[br]
        uf.union(ar, br)
    ans.append(p)

print(*ans[::-1], sep='\n')

Fixed submission:
N, M = map(int, input().split())
ab = [tuple(map(int, input().split())) for _ in range(M)]

class UnionFind:
    def __init__(self, size):
        self.rank = [-1]*(size+1)
        self.number = [1]*(size+1)
        
    def find(self, x):
        while self.rank[x] >= 0:
            x = self.rank[x]
        return x
    
    def union(self, a, b):
        if a == b:
            return
        if self.rank[a] == self.rank[b]:
            self.rank[b] = a
            self.rank[a] -= 1
            self.number[a] += self.number[b]
        elif self.rank[a] < self.rank[b]:
            self.rank[b] = a
            self.number[a] += self.number[b]
        else:
            self.rank[a] = b
            self.number[b] += self.number[a]
            
p = N * (N - 1) // 2
ans = [p]
uf = UnionFind(N)

for a, b in ab[::-1]:
    ar = uf.find(a)
    br = uf.find(b)
    
    if ar != br:
        p -= uf.number[ar] * uf.number[br]
        uf.union(ar, br)
    ans.append(p)

print(*ans[::-1][1:], sep='\n')
Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int, input().split())
xl = [int(i) for i in input().split()]
xl.sort()
d = m - n
if d <= 0:
    print(0)
else:
    dl = []
    for i in range(len(xl)-1):
        dl.append(xl[i+1] - xl[i])
        dl.sort()
    print(sum(dl[:d]))

Fixed submission:
import numpy as np

n, m = map(int, input().split())
xl = [int(i) for i in input().split()]
xl.sort()
d = m - n
if d <= 0:
    print(0)
else:
    darray = np.sort(np.array(xl[1:]) - np.array(xl[:-1]))
    print(np.sum(darray[:d]))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
tl = []
al = []
dl = []

for i in range(n):
    a, b = (int(i) for i in input().split())
    tl.append(a)
    al.append(b)

ans = 0
for i in range(n//2+1):
    tm = max(tl)
    am = max(al)
    if tm >= am:
        idxl = [i for i, v in enumerate(tl) if v == tm]
        idx = al.index(max([al[i] for i in idxl]))
        ans += tl[idx]
        tl[idx] = 0
        al[idx] = 0
    else:
        idxl = [i for i, v in enumerate(al) if v == am]
        idx = tl.index(max([tl[i] for i in idxl]))
        ans += tl[idx]
        tl[idx] = 0
        al[idx] = 0
        
    tm = max(tl)
    am = max(al)
    if tm >= am:
        idxl = [i for i, v in enumerate(tl) if v == tm]
        idx = al.index(max([al[i] for i in idxl]))
        ans -= al[idx]
        tl[idx] = 0
        al[idx] = 0
    else:
        idxl = [i for i, v in enumerate(al) if v == am]
        idx = tl.index(max([tl[i] for i in idxl]))
        ans -= al[idx]
        tl[idx] = 0
        al[idx] = 0

print(ans)

Fixed submission:
n = int(input())
l = [[0]*3 for _ in range(n)]
for i in range(n):
    a, b = map(int, input().split())
    l[i] = [a+b, a, b]
l.sort(reverse=True)
ans = 0
for i in range(n):
    if i % 2 == 0:
        ans += l[i][1]
    else:
        ans -= l[i][2]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
import numpy as np

n, k = map(int, input().split())
sl = [[int(i) for i in input().split()] for _ in range(n)]

sa = np.array(list(combinations(sl, k)))
c = sa.shape[0]
y = np.sum(sa[:,:,1], axis=1).reshape(c)
k = np.power(np.array([np.unique(l).shape[0] for l in sa[:,:,0]]), 2)
print(np.max(y + k))

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

top = [0]*n # t毎に最高のdを格納するlist
sub = [] # それ以外のdを格納するlist
cst = [0] # cumsum top
css = [0] # cumsum sub

for _ in range(n):
    t, d = (int(i) for i in input().split())
    t -= 1
    if top[t] == 0:
        top[t] = d
    elif d > top[t]:
        sub.append(top[t])
        top[t] = d
    else:
        sub.append(d)

top.sort(reverse=True)
sub.sort(reverse=True)

for i in range(n): # カテゴリ内最大のdが高い順に累積
    if top[i] != 0:
        cst.append(cst[-1] + top[i])

for i in range(len(sub)): # それ以外の全てのカテゴリの寿司のdが高い順に累積
    css.append(css[-1] + sub[i])

po = 0
for i in range(1, k+1):
    if len(cst)-1 >= i and len(css)-1 >= k-i:
        po = max(cst[i] + css[k-i] + i*i, po)

print(po)
Buggy python submission (verdict: Runtime Error):
n = int(input())
def dfs(s):
  if int(s) > n:
    return 0
  ret = 1 if all([s.count(c) > 0 for c in '753']) else 0
  for c in '753':
    ret += dfs(s+c)
  return ret
print(ret('0'))

Fixed submission:
n = int(input())
def dfs(s):
  if int(s) > n:
    return 0
  ret = 1 if all([s.count(c) > 0 for c in '753']) else 0
  for c in '753':
    ret += dfs(s+c)
  return ret
print(dfs('0'))

Buggy python submission (verdict: Runtime Error):
n = int(input())
def dfs(s):
  if int(s) > n:
    return 0
  ret = 1 if all([s.count(c) for c in '753']) else 0
  for c in '753':
    ret += dfs(s+c)
  return ret
print(ret('0'))

Fixed submission:
n = int(input())
def dfs(s):
  if int(s) > n:
    return 0
  ret = 1 if all([s.count(c) > 0 for c in '753']) else 0
  for c in '753':
    ret += dfs(s+c)
  return ret
print(dfs('0'))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = set(['7', '5', '3'])
print(sum((1 for i in range(1, n+1) if set(str(i)) == s)))

Fixed submission:
n = int(input())
def dfs(s):
  if int(s) > n:
    return 0
  ret = 1 if all([s.count(c) > 0 for c in '753']) else 0
  for c in '753':
    ret += dfs(s+c)
  return ret
print(dfs('0'))

Buggy python submission (verdict: Runtime Error):
s = set(['7', '5', '3'])
print(sum((1 for i in range(1, n+1) if set(str(i)) == s)))

Fixed submission:
n = int(input())
def dfs(s):
  if int(s) > n:
    return 0
  ret = 1 if all([s.count(c) > 0 for c in '753']) else 0
  for c in '753':
    ret += dfs(s+c)
  return ret
print(dfs('0'))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
cnt = 0
for i in range(1, n+1):
    if set(str(i)) == set(['7', '5', '3']):
        cnt += 1
print(cnt)

Fixed submission:
n = int(input())
def dfs(s):
  if int(s) > n:
    return 0
  ret = 1 if all([s.count(c) > 0 for c in '753']) else 0
  for c in '753':
    ret += dfs(s+c)
  return ret
print(dfs('0'))
Buggy python submission (verdict: Runtime Error):
n = int(input())
e = [0] * (n-1)

# 素因数分解する  
for i in range(2, n+1):
    cur = i
    for j in range(2, i+1):
        # ひたすら割り算を繰り返す
        # 2で割り続ければ、4で割ろうとした時には2で割れない数になっている
        # 自動的に素因数分解ができる
        while cur % j == 0:
            e[j] += 1
            cur //= j

def num(m):
    return len([i for i in e if i >= m-1])

print(num(75) + num(25) * (num(3) - 1) + num(15) * (num(5) - 1) \
      + num(5) * (num(5) - 1) * (num(3) - 2) // 2)

Fixed submission:
n = int(input())
e = [0] * (n+1)

# 素因数分解する  
for i in range(2, n+1):
    cur = i
    for j in range(2, i+1):
        # ひたすら割り算を繰り返す
        # 2で割り続ければ、4で割ろうとした時には2で割れない数になっている
        # 自動的に素因数分解ができる
        while cur % j == 0:
            e[j] += 1
            cur //= j

def num(m):
    return len([i for i in e if i >= m-1])

print(num(75) + num(25) * (num(3) - 1) + num(15) * (num(5) - 1) \
      + num(5) * (num(5) - 1) * (num(3) - 2) // 2)

Buggy python submission (verdict: Runtime Error):
n = int(input())
e = [0] * (n-1)

# 素因数分解する  
for i in range(2, n+1):
    cur = i
    for j in range(2, i+1):
        # ひたすら割り算を繰り返す
        # 2で割り続ければ、4で割ろうとした時には2で割れない数になっている
        # 自動的に素因数分解ができる
        while cur % j == 0:
            e[j] += 1
            cur //= j

def num(m):
    return len([i for i in e if i >= m-1])

print(num(75) + num(25) * (num(3) - 1) + num(15) * (num(5) - 1)
      + num(5) * (num(5) - 1) * (num(3) - 2) // 2)

Fixed submission:
n = int(input())
e = [0] * (n+1)

# 素因数分解する  
for i in range(2, n+1):
    cur = i
    for j in range(2, i+1):
        # ひたすら割り算を繰り返す
        # 2で割り続ければ、4で割ろうとした時には2で割れない数になっている
        # 自動的に素因数分解ができる
        while cur % j == 0:
            e[j] += 1
            cur //= j

def num(m):
    return len([i for i in e if i >= m-1])

print(num(75) + num(25) * (num(3) - 1) + num(15) * (num(5) - 1) \
      + num(5) * (num(5) - 1) * (num(3) - 2) // 2)
Buggy python submission (verdict: Time Limit Exceeded):
n, m = (int(i) for i in input().split())
yl = []
[yl.append([]) for _ in range(n)]
dl = []

for _ in range(m):
    p, y = (int(i) for i in input().split())
    yl[p-1].append(y)
    dl.append((p, y))

[yl[i].sort() for i in range(n)]

for p, y in dl:
    print("{:0>6}{:0>6}".format(p, yl[p-1].index(y)+1))

Fixed submission:
import bisect
n, m = (int(i) for i in input().split())
yl = []
[yl.append([]) for _ in range(n)]
dl = []

for _ in range(m):
    p, y = (int(i) for i in input().split())
    yl[p-1].append(y)
    dl.append((p, y))

[yl[i].sort() for i in range(n)]

for p, y in dl:
    print("{:0>6}{:0>6}".format(p, bisect.bisect_left(yl[p-1], y)+1))
Buggy python submission (verdict: Runtime Error):
from collections import Counter
n = int(input())
vl = [int(i) for i in input().split()]
oc = Counter(a for i, a in enumerate(vl) if i % 2 == 0)
ec = Counter(a for i, a in enumerate(vl) if i % 2 == 1)
ol = sorted(((v, k) for k, v in oc.items()), reverse=True)
el = sorted(((v, k) for k, v in ec.items()), reverse=True)

if ol[0][1] != el[0][1]:
    print(n - ol[0][0] - el[0][0])
else:
    if len(ol) == len(el) == 1:
        res = n // 2
    if len(ol) > 1:
        res = min(res, n - ol[1][0] - el[0][0])
    if len(el) > 1:
        res = min(res, n - ol[0][0] - el[1][0])
    print(res)

Fixed submission:
from collections import Counter
n = int(input())
vl = [int(i) for i in input().split()]
oc = Counter(a for i, a in enumerate(vl) if i % 2 == 0)
ec = Counter(a for i, a in enumerate(vl) if i % 2 == 1)
ol = sorted(((v, k) for k, v in oc.items()), reverse=True)
el = sorted(((v, k) for k, v in ec.items()), reverse=True)

if ol[0][1] != el[0][1]:
    print(n - ol[0][0] - el[0][0])
else:
    res = 1 << 30
    if len(ol) == len(el) == 1:
        res = n // 2
    if len(ol) > 1:
        res = min(res, n - ol[1][0] - el[0][0])
    if len(el) > 1:
        res = min(res, n - ol[0][0] - el[1][0])
    print(res)

Buggy python submission (verdict: Runtime Error):
n = int(input())
vl = [int(i) for i in input().split()]
oc = Counter(a for i, a in enumerate(vl) if i % 2 == 0)
ec = Counter(a for i, a in enumerate(vl) if i % 2 == 1)
ol = sorted(((v, k) for k, v in oc.items()), reverse=True)
el = sorted(((v, k) for k, v in ec.items()), reverse=True)

if ol[0][1] != el[0][1]:
    print(n - ol[0][0] - el[0][0])
else:
    if ol[0][0] >= el[0][0]:
        if len(el) >= 2:
            print(n - ol[0][0] - el[1][0])
        else:
            print(n - ol[0][0])
    else:
        if len(ol) >= 2:
            print(n - ol[1][0] - el[0][0])
        else:
            print(n - el[0][0])

Fixed submission:
from collections import Counter
n = int(input())
vl = [int(i) for i in input().split()]
oc = Counter(a for i, a in enumerate(vl) if i % 2 == 0)
ec = Counter(a for i, a in enumerate(vl) if i % 2 == 1)
ol = sorted(((v, k) for k, v in oc.items()), reverse=True)
el = sorted(((v, k) for k, v in ec.items()), reverse=True)

if ol[0][1] != el[0][1]:
    print(n - ol[0][0] - el[0][0])
else:
    res = 1 << 30
    if len(ol) == len(el) == 1:
        res = n // 2
    if len(ol) > 1:
        res = min(res, n - ol[1][0] - el[0][0])
    if len(el) > 1:
        res = min(res, n - ol[0][0] - el[1][0])
    print(res)
Buggy python submission (verdict: Runtime Error):
n, s = map(int, input().split())
xl = [abs(int(i) - s) for i in input().split()]

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

y = xl[0]
for i in range(1,n-1):
    if xl[i]%y != 0:
        y = gcd(y, x[i])
print(y)

Fixed submission:
from functools import reduce

n, s = map(int, input().split())
xl = [abs(int(i) - s) for i in input().split()]

def gcd_(a, b):
    while b:
        a, b = b, a%b
    return a
def gcd(*numbers):
    return reduce(gcd_, numbers)

print(gcd(*xl))
Buggy python submission (verdict: Time Limit Exceeded):
import bisect
n = int(input())
al = [int(a) for a in input().split()]
bl = [int(b) for b in input().split()]
cl = [int(c) for c in input().split()]

al.sort()
bl.sort()
cl.sort()

k = 0
for a in al:
    for b in bl[bisect.bisect_right(bl, a):]:
        k += n - bisect.bisect_right(cl, b)
print(k)

Fixed submission:
import bisect
n = int(input())
al = [int(a) for a in input().split()]
bl = [int(b) for b in input().split()]
cl = [int(c) for c in input().split()]

al.sort()
bl.sort()
cl.sort()

k = 0
for b in bl:
    k += bisect.bisect_left(al, b) * (n - bisect.bisect_right(cl, b))
print(k)
Buggy python submission (verdict: Runtime Error):
import numpy as np
h, w = map(int, input().split())
num_array = np.zeros((h, w))
space_array = np.ones((h, w))

mine_map = np.array(
    ((0 if i == "." else 1 for i in input())) for j in range(h))
space_array = mine_map.copy()

for i, s in enumerate(mine_map):
    for j, m in enumerate(s):
        if m == 1: # m=mass
            il, iu = i-1, i+2
            jl, ju = j-1, j+2
            il, jl = max(il, 0), max(jl, 0)
            iu, ju = min(iu, h), min(ju, w)
            num_array[il:iu, jl:ju] += 1

for i, s in enumerate(space_array):
    out = ("#" if m == 1 else str(int(num_array[i,j])) for j, m in enumerate(s))
    print("".join(out))


Fixed submission:
import numpy as np
h, w = map(int, input().split())
num_array = np.zeros((h, w))
space_array = np.ones((h, w))

mine_map = np.array(
    [np.array([0 if i == "." else 1 for i in input()]) for j in range(h)])
space_array = mine_map.copy()

for i, s in enumerate(mine_map):
    for j, m in enumerate(s):
        if m == 1: # m=mass
            il, iu = i-1, i+2
            jl, ju = j-1, j+2
            il, jl = max(il, 0), max(jl, 0)
            iu, ju = min(iu, h), min(ju, w)
            num_array[il:iu, jl:ju] += 1

for i, s in enumerate(space_array):
    out = ["#" if m == 1 else str(int(num_array[i,j])) for j, m in enumerate(s)]
    print("".join(out))
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N = int(input())
ApB = []

for i in range(N):
	temp1, temp2 = map(int, input().split())
	s = temp1 + temp2
	ApB.append([s, temp1, temp2, i])

ApB.sort()
ApB.reverse()
score = 0
for i in range(N):
	len_ApB = len(ApB)
	temp_ApB = ApB[0][0]
	if i % 2 == 0:
		score += ApB.pop(0)[1]
	else:
		score -= ApB.pop(0)[2]

print(score)


Fixed submission:
import numpy as np
N = int(input())
ApB = []

for i in range(N):
	temp1, temp2 = map(int, input().split())
	s = temp1 + temp2
	ApB.append([s, temp1, temp2, i])

ApB.sort()
score = 0
for i in range(N):
	if i % 2 == 0:
		score += ApB.pop()[1]
	else:
		score -= ApB.pop()[2]

print(score)

Buggy python submission (verdict: Runtime Error):
import numpy as np
N = int(input())
ApB = []
ApB_dict = {}

for i in range(N):
	temp1, temp2 = map(int, input().split())
	s = temp1 + temp2
	ApB.append([s, temp1, temp2, i])
	ApB_dict.setdefault(s, 0)
	ApB_dict[s] += 1

ApB.sort()
ApB.reverse()
score = 0
for i in range(N):
	len_ApB = len(ApB)
	temp_ApB = ApB[0][0]
	num = ApB_dict[temp_ApB]
	if i % 2 == 0:
		if num == 1:
			score += ApB.pop(0)[1]
		else:
			l = ApB[0:len_ApB][1]
			Ind = np.argmax(l)
			score += ApB.pop(Ind)[1]
			ApB_dict[temp_ApB] -= 1
	else:
		if num == 1:
			score -= ApB.pop(0)[2]
		else:
			l = ApB[len_ApB-num:len_ApB][2]
			Ind = np.argmax(l)
			score -= ApB.pop(Ind)[2]
			ApB_dict[temp_ApB] -= 1
	#print("score:", score,"ApB:", ApB)

print(score)


Fixed submission:
import numpy as np
N = int(input())
ApB = []

for i in range(N):
	temp1, temp2 = map(int, input().split())
	s = temp1 + temp2
	ApB.append([s, temp1, temp2, i])

ApB.sort()
score = 0
for i in range(N):
	if i % 2 == 0:
		score += ApB.pop()[1]
	else:
		score -= ApB.pop()[2]

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

a = 1
b = 1

import math

while math.log(P) >= N * math.log(a):
	if P % a**N == 0:
		b = a
	a += 1

print(b)


Fixed submission:
N, P = map(int, input().split())
import math

a = 2
b = 1

if N == 1 :
	print(P)
else:
	while math.log(P) >= N * math.log(a):
		if P % a**N == 0:
			P /= a**N
			b *= a
			a = 1
		a += 1
	print(b)

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

a = 1
b = 1

while P >= a**N:
	if P % a**N == 0:
		b = a
	a += 1

print(b)


Fixed submission:
N, P = map(int, input().split())
import math

a = 2
b = 1

if N == 1 :
	print(P)
else:
	while math.log(P) >= N * math.log(a):
		if P % a**N == 0:
			P /= a**N
			b *= a
			a = 1
		a += 1
	print(b)
Buggy python submission (verdict: Time Limit Exceeded):
#!/env/usr/python3
n, k = input().split()
n = int(n)
k = int(k)

a = []
for i in range(n):
	a.append(int(input()))
	#print(a)

a.sort()
#print(a)


height_distance = []
for i, h in enumerate(a):
	if i <= n-k:
		chosen = a[i:i+k]
		height_distance.append(max(chosen)-min(chosen))
		#print(height_distance)

print(min(height_distance))


Fixed submission:
#!/env/usr/python3
n, k = input().split()
n = int(n)
k = int(k)

a = []
for i in range(n):
	a.append(int(input()))
	#print(a)

a.sort()
#print(a)


height_distance = []
for i, h in enumerate(a):
	if i <= n-k:
		#chosen = a[i:i+k]
		#height_distance.append(max(chosen)-min(chosen))
		height_distance.append(a[i+k-1]-a[i])
		#print(height_distance)

print(min(height_distance))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
An = list(map(int, input().split()))
Bn = list(map(int, input().split()))

cnt = 0

while len(An) > 1:
    m = An.pop(0)
    y = Bn.pop(0)
    n = An[0]
    if y < m:
        cnt += y
    elif m <= y < m+n:
        cnt += y
        An[0] -= y-m
    else:
        cnt += m+n
        An[0] = 0
    #print(cnt)
    #print(An)
    #print(Bn)

print(cnt)
    


Fixed submission:
from collections import deque

N = int(input())
An = deque(map(int, input().split()))
Bn = deque(map(int, input().split()))

cnt = 0

while len(An) > 1:
    m = An.popleft()
    y = Bn.popleft()
    n = An[0]
    if y < m:
        cnt += y
    elif m <= y < m+n:
        cnt += y
        An[0] -= y-m
    else:
        cnt += m+n
        An[0] = 0
    #print(cnt)
    #print(An)
    #print(Bn)

print(cnt)
Buggy python submission (verdict: Runtime Error):
import fraction

def lcm(x, y):
    return (x * y) // fraction.gcd(x, y)

def multiple(A, B, C): #number of multiples of C between A and B
    return int((B+0.5)//C - (A-0.5)//C)

A, B, C, D = map(int, input().split())

allnumbers = B-A+1

ans = allnumbers - (multiple(A,B,C) + multiple(A,B,D) - multiple(A,B,lcm(C,D)))

print(ans)


Fixed submission:
import fractions

def lcm(x, y):
    return (x * y) // fractions.gcd(x, y)

def multiple(A, B, C): #number of multiples of C between A and B
    return B//C - (A-1)//C

A, B, C, D = map(int, input().split())

allnumbers = B-A+1

ans = allnumbers - (multiple(A,B,C) + multiple(A,B,D) - multiple(A,B,lcm(C,D)))

print(ans)

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

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

def multiple(A, B, C): #number of multiples of C between A and B
    return int((B+0.5)//C - (A-0.5)//C)

A, B, C, D = map(int, input().split())

allnumbers = B-A+1

ans = allnumbers - (multiple(A,B,C) + multiple(A,B,D) - multiple(A,B,lcm(C,D)))

print(ans)


Fixed submission:
import fractions

def lcm(x, y):
    return (x * y) // fractions.gcd(x, y)

def multiple(A, B, C): #number of multiples of C between A and B
    return B//C - (A-1)//C

A, B, C, D = map(int, input().split())

allnumbers = B-A+1

ans = allnumbers - (multiple(A,B,C) + multiple(A,B,D) - multiple(A,B,lcm(C,D)))

print(ans)
Buggy python submission (verdict: Runtime Error):
A, B, C = map(int,input().split())
print(sum(A,B,C)-max(A,B,C))

Fixed submission:
A, B, C = map(int,input().split())
print(sum([A,B,C])-max(A,B,C))