Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import sys
from math import factorial
sys.setrecursionlimit(100000)

input = sys.stdin.readline

X, Y = list(map(int,input().split()))

mod = 10**9 + 7

def mm(a, b):
    return ((a % mod) * (b % mod)) % mod

def pp(x, y):
    if   y == 0     :
    	return 1
    elif y == 1     : 
    	return x % mod
    elif y % 2 == 0 : 
    	return (pp(x, y/2)**2) % mod
    else            : 
    	return (pp(x, y//2)**2 * x) % mod

def dd(a, b):
    return mm(a, pp(b, mod-2))

def xgcd(a, b):
	x0, y0, x1, y1 = 1, 0, 0, 1
	while b != 0:
	    q, a, b = a // b, b, a % b
	    x0, x1 = x1, x0 - q * x1
	    y0, y1 = y1, y0 - q * y1
	return a, x0, y0

def modinv(a, m):
    g, x, y = xgcd(a, m)
    if g != 1:
        raise Exception('modular inverse does not exist')
    else:
        return x % m

if (X+Y)%3!=0:
	ans = 0
else:
	nmsum = (X+Y)//3
	nmdif = Y-X
	if (nmsum+nmdif)%2!=0:
		ans = 0
	else:
		n = (nmsum+nmdif)//2
		m = (nmsum-nmdif)//2
		if n<0 or m<0:
			ans = 0
		else:
			t = 1
			for i in range(1,n+m+1):
				t = (t*i)%mod
				if i==n: bb = t
				if i==m: cc = t
				if i==n+m: aa = t
			# aa = factorial(n+m)%mod
			# bb = factorial(n)%mod
			# cc = factorial(m)%mod
			ans = aa * modinv(bb,mod) %mod
			ans = ans * modinv(cc,mod) %mod

print(ans)

Fixed submission:
import sys
from math import factorial
sys.setrecursionlimit(100000)

input = sys.stdin.readline

X, Y = list(map(int,input().split()))

mod = 10**9 + 7

def mm(a, b):
    return ((a % mod) * (b % mod)) % mod

def pp(x, y):
    if   y == 0     :
    	return 1
    elif y == 1     : 
    	return x % mod
    elif y % 2 == 0 : 
    	return (pp(x, y/2)**2) % mod
    else            : 
    	return (pp(x, y//2)**2 * x) % mod

def dd(a, b):
    return mm(a, pp(b, mod-2))

def xgcd(a, b):
	x0, y0, x1, y1 = 1, 0, 0, 1
	while b != 0:
	    q, a, b = a // b, b, a % b
	    x0, x1 = x1, x0 - q * x1
	    y0, y1 = y1, y0 - q * y1
	return a, x0, y0

def modinv(a, m):
    g, x, y = xgcd(a, m)
    if g != 1:
        raise Exception('modular inverse does not exist')
    else:
        return x % m

if (X+Y)%3!=0:
	ans = 0
else:
	nmsum = (X+Y)//3
	nmdif = Y-X
	if (nmsum+nmdif)%2!=0:
		ans = 0
	else:
		n = (nmsum+nmdif)//2
		m = (nmsum-nmdif)//2
		if n<0 or m<0:
			ans = 0
		elif n==0 or m==0:
			ans = 1
		else:
			t = 1
			for i in range(1,n+m+1):
				t = (t*i)%mod
				if i==n: bb = t
				if i==m: cc = t
				if i==n+m: aa = t
			# aa = factorial(n+m)%mod
			# bb = factorial(n)%mod
			# cc = factorial(m)%mod
			ans = aa * modinv(bb,mod) %mod
			ans = ans * modinv(cc,mod) %mod

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

input = sys.stdin.readline

N, M = list(map(int,input().split()))
LRC = [list(map(int,input().split())) for i in range(M)]
LRC.sort()

INF = 100100100100100100
dist = [INF]*N
dist[0] = 0

for li, ri, ci in LRC:
	for i in range(li,ri):
		dist[i] = min(dist[i], dist[li-1]+ci)

ans = dist[-1]
if ans==INF: ans = -1

print(ans)

Fixed submission:
import sys
import bisect

input = sys.stdin.readline

N, M = list(map(int,input().split()))
LRC = [list(map(int,input().split())) for i in range(M)]
LRC.sort()

INF = 100100100100100100
dist = [INF]*N
dist[0] = 0

for li, ri, ci in LRC:
	td = dist[li-1]+ci
	ti = bisect.bisect(dist,dist[li-1]+ci)
	ti = min(ti,ri+1)
	for i in range(ti,ri):
		dist[i] = td

ans = dist[-1]
if ans==INF: ans = -1

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

input = sys.stdin.readline

N = int(input())
L, R = [], []
length = []
for i in range(N):
	Li, Ri = map(int,input().split())
	L.append(Li)
	R.append(Ri)
	length.append(Ri-Li)

sindL = sorted(range(N), key=lambda k: L[k])
sindR = sorted(range(N), key=lambda k: R[k])
sind_len = sorted(range(N), key=lambda k: length[k])

indLmax = sindL[-1]
indRmin = sindR[0]

if indLmax==indRmin:
	ans = R[indRmin]-L[indLmax]+max(length)+2
else:
	lenmax_ind = sind_len[-1]
	if lenmax_ind==indLmax or lenmax_ind==indRmin:
		lenmax_ind = sind_len[-2]
		if lenmax_ind==indLmax or lenmax_ind==indRmin:
			lenmax_ind = sind_len[-3]
	ans = R[indRmin]-L[indLmax]+length[lenmax_ind]+2

	Qind = [0]*N
	Qind[indRmin] = 1
	ri = 1
	for li in range(0,N-1):
		QL, QR = L[sindL[li]], R[indRmin]
		Qind[sindL[li]] = 1
		while Qind[sindR[ri]]==1:
			ri += 1
			if ri==N: break
		PL, PR = L[indLmax], R[sindR[ri]]

		ans = max(ans,PR-PL+QR-QL+2)

print(ans)

Fixed submission:
import sys

input = sys.stdin.readline

N = int(input())
L, R = [], []
length = []
for i in range(N):
	Li, Ri = map(int,input().split())
	L.append(Li)
	R.append(Ri)
	length.append(Ri-Li)

sindL = sorted(range(N), key=lambda k: L[k])
sindR = sorted(range(N), key=lambda k: R[k])
sind_len = sorted(range(N), key=lambda k: length[k])

indLmax = sindL[-1]
indRmin = sindR[0]

if N==2:
	ans = sum(length)+2
else:
	if indLmax==indRmin:
		ans = R[indRmin]-L[indLmax]+max(length)+2
	else:
		lenmax_ind = sind_len[-1]
		if lenmax_ind==indLmax or lenmax_ind==indRmin:
			lenmax_ind = sind_len[-2]
			if lenmax_ind==indLmax or lenmax_ind==indRmin:
				lenmax_ind = sind_len[-3]
		ans = max(0,R[indRmin]-L[indLmax]+1)+length[lenmax_ind]+1

		Qind = [0]*N
		Qind[indRmin] = 1
		ri = 1
		for li in range(0,N-1):
			QL, QR = L[sindL[li]], R[indRmin]
			Qind[sindL[li]] = 1
			while Qind[sindR[ri]]==1:
				ri += 1
			PL, PR = L[indLmax], R[sindR[ri]]

			ans = max(ans,max(0,PR-PL+1)+max(0,QR-QL+1))

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
from heapq import *

def main():
	input = sys.stdin.readline

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

	A.sort()
	F.sort(reverse=True)

	cost = []
	for ai, fi in zip(A,F):
		heappush(cost,(ai*fi*-1,ai,fi))

	while K>0:
		cmax, ai, fi = heappop(cost)
		if cmax==0: break
		csec = min(cost[0][0],cost[1][0])
		count = (csec-cmax)//ai + 1
		if count>K: count = K
		# print(count)
		aj = ai-count
		fj = fi
		cj = aj*fj*-1
		heappush(cost,(cj,aj,fj))
		K -= count

	ans = cost[0][0]*-1
	print(ans)

if __name__ == '__main__':
    main()

Fixed submission:
import sys
import math

input = sys.stdin.readline

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

A.sort()
F.sort(reverse=True)

cost = []
for ai, fi in zip(A,F):
	cost.append([ai*fi,fi])
cost.sort(reverse=True)

thmin = -1
thmax = cost[0][0]+1

while thmax-thmin!=1:
	# print(thmin,thmax)
	th = (thmin+thmax)//2
	ktmp = 0
	ind = 0
	judge = True
	while True:
		ci, fi = cost[ind]
		if ci<=th: break
		ktmp += math.ceil((ci-th)/fi)
		if ktmp>K:
			judge = False
			break
		ind += 1
		if ind==N: break
	if judge:
		thmax = th
	else:
		thmin = th

print(thmax)

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

input = sys.stdin.readline

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

A.sort()
F.sort(reverse=True)

cost = []
for i in range(N):
	ai, fi = A[i], F[i]
	heappush(cost,(ai*fi*-1,ai,fi))

while K>0:
	cmax, ai, fi = heappop(cost)
	if cmax==0: break
	csec = min(cost[0][0],cost[1][0])
	count = (csec-cmax)//ai + 1
	if count>K: count = K
	# print(count)
	aj = ai-count
	fj = fi
	cj = aj*fj*-1
	heappush(cost,(cj,aj,fj))
	K -= count

ans = cost[0][0]*-1
print(ans)

Fixed submission:
import sys
import math

input = sys.stdin.readline

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

A.sort()
F.sort(reverse=True)

cost = []
for ai, fi in zip(A,F):
	cost.append([ai*fi,fi])
cost.sort(reverse=True)

thmin = -1
thmax = cost[0][0]+1

while thmax-thmin!=1:
	# print(thmin,thmax)
	th = (thmin+thmax)//2
	ktmp = 0
	ind = 0
	judge = True
	while True:
		ci, fi = cost[ind]
		if ci<=th: break
		ktmp += math.ceil((ci-th)/fi)
		if ktmp>K:
			judge = False
			break
		ind += 1
		if ind==N: break
	if judge:
		thmax = th
	else:
		thmin = th

print(thmax)
Buggy python submission (verdict: Runtime Error):
import sys
from math import gcd
# from fractions import gcd

input = sys.stdin.readline

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

n = gcd(A,B)

def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

frl = factorization(n)
if frl[0][0]==1:
	ans = 1
else:
	ans = len(frl)+1
print(ans)

Fixed submission:
import sys
# from math import gcd
from fractions import gcd

input = sys.stdin.readline

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

n = gcd(A,B)

def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

frl = factorization(n)
if frl[0][0]==1:
	ans = 1
else:
	ans = len(frl)+1
print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
from fractions import Fraction

input = sys.stdin.readline

N = int(input()) # integer
A = list(map(int,input().split())) # list
M = 998244353

amax = max(A)
w = [1]*amax
for i in range(1,amax+1):
	n = 2
	j = i*n
	while j<=amax:
		w[j-1] -= w[i-1]*n
		n += 1
		j += i

count = [0]*amax
for i in range(N):
	count[A[i]-1] += 1

ans = 0
for i in range(1,amax+1):
	isum = 0
	isumr = 0
	sqsum = 0
	j = i
	while j<=amax:
		isum += j*count[j-1]
		sqsum += j*j*count[j-1]
		j += i

	ans += ((isum**2-sqsum)/2)*w[i-1]//i
	ans = ans%M

print(ans%M)

Fixed submission:
import sys

input = sys.stdin.readline

H, W, A, B = list(map(int,input().split()))

out = [[0]*W for i in range(H)]

for y in range(B):
	for x in range(A):
		out[y][x] = 1

for y in range(B,H):
	for x in range(A,W):
		out[y][x] = 1

for i in out: print(*i, sep='')
Buggy python submission (verdict: Time Limit Exceeded):
import sys

def main():
	input = sys.stdin.readline

	N, M = list(map(int,input().strip().split()))
	A = list(map(int,input().strip().split()))
	A.sort(reverse=True)

	for i in range(M):
		A[0] = A[0]/2

		larger = -1
		smaller = N-1
		target = A.pop(0)
		while larger-smaller!=-1:
			ind = int((larger+smaller)/2)
			if target>A[ind]:
				smaller = ind
			else:
				larger = ind

		A.insert(smaller,target)
		# print(A)

		# ind = 0
		# if N!=1:
		# 	while A[ind]<A[ind+1]:
		# 		A[ind], A[ind+1] = A[ind+1], A[ind]
		# 		ind = ind+1
		# 		if ind==N-1:
		# 			break

	print(sum(map(int,A)))

if __name__ == "__main__":
    main()

Fixed submission:
import sys

def main():
	input = sys.stdin.readline

	N, M = list(map(int,input().strip().split()))
	A = list(map(int,input().strip().split()))
	A.sort(reverse=True)

	count = [0]*N
	ind = [0]
	for i in range(M):
		maximum = 0
		for j in ind:
			if A[j]>maximum:
				maxind = j
				maximum = A[j]

		if maximum==0: break

		# print(maxind)
		A[maxind] = A[maxind]/2
		count[maxind] += 1
		# print(count[maxind])
		if count[maxind]==len(ind):
			ind.append(0)
			# ind[-2] += 1
			ind[-2] = min(N-1,ind[-2]+1)
			# if ind[-1]!=N-1:
		else: 
			# ind[count[maxind]-1] += 1
			ind[count[maxind]-1] = min(N-1,ind[count[maxind]-1]+1)

		# print(ind)

	print(sum(map(int,A)))

if __name__ == "__main__":
    main()

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

def main():
	input = sys.stdin.readline

	N, M = list(map(int,input().strip().split()))
	A = list(map(int,input().strip().split()))
	A.sort(reverse=True)

	for i in range(M):
		A[0] = A[0]/2

		# larger = N
		# smaller = -1
		# while larger-smaller!=1:
		# 	ind = int((larger+smaller)/2)
		# 	if A[0]>A[ind]:
		# 		smaller = ind
		# 	else:
		# 		larger = ind

		# A.insert(larger,A[0])

		ind = 0
		if N!=1:
			while A[ind]<A[ind+1]:
				A[ind], A[ind+1] = A[ind+1], A[ind]
				ind = ind+1
				if ind==N-1:
					break

	print(sum(map(int,A)))

if __name__ == "__main__":
    main()

Fixed submission:
import sys

def main():
	input = sys.stdin.readline

	N, M = list(map(int,input().strip().split()))
	A = list(map(int,input().strip().split()))
	A.sort(reverse=True)

	count = [0]*N
	ind = [0]
	for i in range(M):
		maximum = 0
		for j in ind:
			if A[j]>maximum:
				maxind = j
				maximum = A[j]

		if maximum==0: break

		# print(maxind)
		A[maxind] = A[maxind]/2
		count[maxind] += 1
		# print(count[maxind])
		if count[maxind]==len(ind):
			ind.append(0)
			# ind[-2] += 1
			ind[-2] = min(N-1,ind[-2]+1)
			# if ind[-1]!=N-1:
		else: 
			# ind[count[maxind]-1] += 1
			ind[count[maxind]-1] = min(N-1,ind[count[maxind]-1]+1)

		# print(ind)

	print(sum(map(int,A)))

if __name__ == "__main__":
    main()
Buggy python submission (verdict: Time Limit Exceeded):
import sys
from heapq import *

input = sys.stdin.readline

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

dif = [x-y for (x,y) in zip(A,B)]
difh = []
for i, d in enumerate(dif):
	heappush(difh, (d,i))

ans = 0
while difh[0][0]!=0:
	tv, ti = difh[0]
	if ti==0:
		ll, rr = B[-1], B[1]
	elif ti==N-1:
		ll, rr = B[N-2], B[0]
	else:
		ll, rr = B[ti-1], B[ti+1]

	tv += ll+rr
	if tv>0:
		ans=-1
		break
	else:
		ans += 1
		B[ti] = A[ti]-tv
		heappushpop(difh, (tv, ti))

print(ans)

Fixed submission:
import sys
from heapq import *

input = sys.stdin.readline

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

dif = [x-y for (x,y) in zip(A,B)]
difh = []
for i, d in enumerate(dif):
	heappush(difh, (d,i))

ans = 0
while difh[0][0]!=0:
	tv, ti = difh[0]
	if ti==0:
		ll, rr = B[-1], B[1]
	elif ti==N-1:
		ll, rr = B[N-2], B[0]
	else:
		ll, rr = B[ti-1], B[ti+1]

	plus = int((-tv)/(ll+rr))
	if plus==0:
		ans=-1
		break
	else:
		tv += (ll+rr)*plus
		ans += plus
		B[ti] = A[ti]-tv
		heappushpop(difh, (tv, ti))

print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy as np


N = int(input().strip())
alist = list(map(int,input().strip().split()))

alist = np.array(alist)
alistp = np.abs(alist)
maxind = np.where(alistp==alistp.max())[0][0]

if alist[maxind]>0:
	positive = True
else:
	positive = False

count = 0
process = []
for i in range(N):
	if alist[i]*alist[maxind]<0:
		alist[i] = alist[i]+alist[maxind]
		count = count+1
		process.append([maxind,i])

if positive==True:
	for i in range(N-1):
		alist[i+1] = alist[i+1]+alist[i]
		count = count+1
		process.append([i,i+1])
else:
	for i in range(N,0,-1):
		alist[i-1] = alist[i-1]+alist[i]
		count = count+1
		process.append([i,i-1])

print(count)
for i in range(count):
	processi = process[i]
	print(processi[0]+1,processi[1]+1)


Fixed submission:
import numpy as np


N = int(input().strip())
alist = list(map(int,input().strip().split()))

alist = np.array(alist)
alistp = np.abs(alist)
maxind = np.where(alistp==alistp.max())[0][0]

if alist[maxind]>0:
	positive = True
else:
	positive = False

count = 0
process = []
for i in range(N):
	if alist[i]*alist[maxind]<0:
		alist[i] = alist[i]+alist[maxind]
		count = count+1
		process.append([maxind,i])

if positive==True:
	for i in range(N-1):
		alist[i+1] = alist[i+1]+alist[i]
		count = count+1
		process.append([i,i+1])
else:
	for i in range(N-1,0,-1):
		alist[i-1] = alist[i-1]+alist[i]
		count = count+1
		process.append([i,i-1])

print(count)
for i in range(count):
	processi = process[i]
	print(processi[0]+1,processi[1]+1)
Buggy python submission (verdict: Runtime Error):
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
#define pb push_back
#define all(a) a.begin(), a.end()

int N, M;
vector<int> x, y;

int input() {
    int a;
    cin>>a;
    return a;
}

bool check() {
    return max_element(all(x)) < min_element(all(y));
}

int main() {
    
    cin >> N >> M;
    x.pb(input());
    y.pb(input());
    for( int i=0; i < N; ++i)x.pb(input());
    for( int i=0; i < M; ++i)y.pb(input());

    if(check())cout << "No War" << endl;
    else cout << "War" <<endl;

    return 0;
}

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

def check2():
    return max(x) >= min(y)

if check2():
    print("War")
else:
    print("No War")
Buggy python submission (verdict: Runtime Error):
import math
N, X = map(int, input().split())

x = list(map(int, input().split()))

t = abs(x[0] - X)
for a in x:
    t = math.gcd(t, abs(a - X))
print(t)


Fixed submission:
import fractions

N, X = map(int, input().split())

x = list(map(int, input().split()))

t = abs(x[0] - X)
for a in x:
    t = fractions.gcd(t, abs(a - X))
print(t)
Buggy python submission (verdict: Time Limit Exceeded):
def resolve():
    n = int(input())
    aaa = [int(input()) for _ in range(n)]
    maxa = max(aaa)
    for i in range(n):
        if maxa == aaa[i]:
            print(max(aaa[:i]+aaa[i+1:]))
        else:
            print(maxa)
resolve()

Fixed submission:
def resolve():
    n = int(input())
    aaa = [int(input()) for _ in range(n)]
    sorta = sorted(aaa, reverse=True)
    maxa = sorta[0]
    seconda = sorta[1]
    for i in range(n):
        if maxa == aaa[i]:
            print(seconda)
        else:
            print(maxa)
resolve()

Buggy python submission (verdict: Time Limit Exceeded):
def resolve():
    n = int(input())
    aaa = [int(input()) for _ in range(n)]
    for i in range(n):
        ans = max(aaa[:i]+aaa[i+1:])
        print(ans)
resolve()

Fixed submission:
def resolve():
    n = int(input())
    aaa = [int(input()) for _ in range(n)]
    sorta = sorted(aaa, reverse=True)
    maxa = sorta[0]
    seconda = sorta[1]
    for i in range(n):
        if maxa == aaa[i]:
            print(seconda)
        else:
            print(maxa)
resolve()
Buggy python submission (verdict: Runtime Error):
import math
def resolve():
    a, b, c, d = list(map(int, input().split()))
    lcm = int(c * d / math.gcd(c, d))
    c_b = b - (b//c + b//d - b//(lcm))
    c_a = (a-1) - ((a-1)//c + (a-1)//d - (a-1)//(lcm))
    print(c_b - c_a)
    
resolve()

Fixed submission:
def gcd(a, b):
    if a < b:
        a, b = b, a
    if b == 0:
        return a
    return gcd(b, a % b)
def resolve():
    a, b, c, d = list(map(int, input().split()))
    lcm = int(c * d / gcd(c, d))
    c_b = b - (b//c + b//d - b//(lcm))
    c_a = (a-1) - ((a-1)//c + (a-1)//d - (a-1)//(lcm))
    print(c_b - c_a)
    
resolve()

Buggy python submission (verdict: Runtime Error):
import math
def resolve():
    a, b, c, d = list(map(int, input().split()))
    lcm = int(c * d / math.gcd(c, d))
    c_b = b - (b//c + b//d - b//(lcm))
    c_a = (a-1) - ((a-1)//c + (a-1)//d - (a-1)//(lcm))
    print(c_b - c_a)
    
resolve()

Fixed submission:
def gcd(a, b):
    if a < b:
        a, b = b, a
    if b == 0:
        return a
    return gcd(b, a % b)
def resolve():
    a, b, c, d = list(map(int, input().split()))
    lcm = int(c * d / gcd(c, d))
    c_b = b - (b//c + b//d - b//(lcm))
    c_a = (a-1) - ((a-1)//c + (a-1)//d - (a-1)//(lcm))
    print(c_b - c_a)
    
resolve()
Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int, input().split())
lr = [list(map(int, input().split())) for _ in range(m)]
count = 0
for i in range(1,n+1):
  flag = True
  for j in range(m):
    if not lr[j][0] <= i <= lr[j][1]:
      flag = False
      break
  if flag:
    count += 1
print(count)
  
      
      
      
      
           
  

Fixed submission:
n, m = map(int, input().split())
lll = []
rrr = []
for _ in range(m):
  lr = list(map(int, input().split()))
  lll.append(lr[0])
  rrr.append(lr[1])
maxl = max(lll)
minr = min(rrr)
count = 0
for i in range(1,n+1):
  if maxl <= i <= minr:
    count += 1
print(count)
Buggy python submission (verdict: Runtime Error):
s = input()
a = int(s[:2]) > 13 or int(s[:2])=0
b = int(s[2:]) > 13 or int(s[2:])=0
if a and b:
  print("NA")
elif not a and not b:
  print("AMBIGUOUS")
elif not a and b:
  print("MMYY")
else:
  print("YYMM")
      

Fixed submission:
s = input()
a = int(s[:2])
b = int(s[2:])
if 1<=a<=12 and 1<=b<=12:
  print("AMBIGUOUS")
elif 1<=a<=12:
  print("MMYY")
elif 1<=b<=12:
  print("YYMM")
else:
  print("NA")
Buggy python submission (verdict: Runtime Error):
import math
n, k = map(int, input().split())
p = 0
for i in range(1,n+1):
  tmp = 1
  while i * temp < k:
    temp *= 2
  p += 1/temp
print(p/n)

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

Buggy python submission (verdict: Runtime Error):
import math
n, k = map(int, input().split())
p = 0
for i in range(1,num):
  tmp = 1
  while i * temp < k:
    temp *= 2
  p += 1/temp
print(p/n)

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

Buggy python submission (verdict: Runtime Error):
import math
n, k = map(int, input().split())
p = 0
for i in range(1,num):
  tmp = 1
  while i * temp < k:
    temp *= 2
  asn += 1/temp
print(p/n)

Fixed submission:
import math
n, k = map(int, input().split())
p = 0
for i in range(1,n+1):
  temp = 1
  while i * temp < k:
    temp *= 2
  p += 1/temp
print(p/n)
Buggy python submission (verdict: Time Limit Exceeded):
from functools import reduce
from fractions import gcd

def gcd_list(numbers):
    return reduce(gcd, numbers)

def resolve():
    n = int(input())
    ans = 0
    aaa = list(map(int, input().split()))
    for i in range(n):
        l = aaa[:i] + aaa[i+1:]
        g = gcd_list(l)
        ans = max(ans, g)
    print(ans)
resolve()

Fixed submission:
from fractions import gcd


def resolve():
    n = int(input())
    aaa = [0] + list(map(int, input().split())) + [0]
    lll = [0 for i in range(n+2)]
    rrr = [0 for i in range(n+2)]
    for i in range(1, n+1):
        lll[i] = gcd(lll[i-1], aaa[i])
    for i in range(n,0,-1):
        rrr[i] = gcd(rrr[i+1], aaa[i])
    z = [gcd(lll[i-1],rrr[i+1]) for i in range(1,n+1)]
    print(max(z))
resolve()
Buggy python submission (verdict: Time Limit Exceeded):

import math
import sys
n,q = list(map(int,input().split()))
s = input()
lll = [0 for _ in range(n)]
for i in range(n-1):
  if s[i] == "A" and s[i+1] == "C":
    lll[(i+1):] = [j+1 for j in lll[(i+1):]]
for i in range(q):
  l,r = list(map(int,input().split()))
  print(lll[r-1] - lll[l-1])

Fixed submission:
n,q = list(map(int,input().split()))
s = input()
lll = [0 for _ in range(n)]
for i in range(n-1):
  if s[i] == "A" and s[i+1] == "C":
    lll[i+1] = lll[i] + 1
  else:
    lll[i+1] = lll[i]
for i in range(q):
  l,r = list(map(int,input().split()))
  print(lll[r-1] - lll[l-1])

Buggy python submission (verdict: Time Limit Exceeded):
import re
n,q = map(int, input().split())
sss = [s for s in input()]
for i in range(q):
  l,r = map(int, input().split())
  s_temp = "".join(sss[l-1:r])
  print(len(re.findall(r"AC", s_temp)))



Fixed submission:
n,q = list(map(int,input().split()))
s = input()
lll = [0 for _ in range(n)]
for i in range(n-1):
  if s[i] == "A" and s[i+1] == "C":
    lll[i+1] = lll[i] + 1
  else:
    lll[i+1] = lll[i]
for i in range(q):
  l,r = list(map(int,input().split()))
  print(lll[r-1] - lll[l-1])
Buggy python submission (verdict: Time Limit Exceeded):
n, k = list(map(int, input().split()))
hhh = [int(input()) for _ in range(n)]
hhh.sort()
ans = float("inf")
for i in range(n-k+1):
  ans = min(ans, max(hhh[i:i+k]) - min(hhh[i:i+k]))
print(ans)

Fixed submission:
n, k = list(map(int, input().split()))
hhh = [int(input()) for _ in range(n)]
hhh.sort()
ans = float("inf")
for i in range(n-k+1):
  ans = min(ans, hhh[i+k-1] - hhh[i])
print(ans)