Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import queue
h, w, k = map(int, input().split())
s=[input() for i in range(h)]
ans = [[0]*w for i in range(h)]

def BFS(i, j, count):
  ans[i][j]=str(count)
  movex = [0, 0]
  movey = [1, -1]
  q = queue.Queue()
  q.put([i, j])
  while not q.empty():
    y, x = q.get()
    for i in range(2):
      nx = x+movex[i]
      ny = y+movey[i]
      if 0<=ny<=h-1 and ans[ny][nx]==0 and s[ny][nx]==".":
        ans[ny][nx]=str(count)
        q.put([ny, nx])

def DFS(i, j): 
  movex = [1, -1]
  movey = [0, 0]
  x = j
  y = i
  for i in range(2):
    nx = x+movex[i]
    ny = y+movey[i]
    if 0<=nx<=w-1:
      if ans[ny][nx]==0:
          DFS(ny, nx)
      else:
        return ans[ny][nx]
        
    
  
  

count = 1
for i in range(h):
  for j in range(w):
    if s[i][j]== "#":
      BFS(i, j, count)
      count+=1
  
for i in range(h):
  for j in range(w):
    if ans[i][j]==0:
      ans[i][j]=DFS(i, j)
      
for i in range(h):
  print(" ".join(ans[i]))


Fixed submission:
import queue
h, w, k = map(int, input().split())
s=[input() for i in range(h)]
ans = [[0]*w for i in range(h)]

def BFS(i, j, count):
  ans[i][j]=str(count)
  movex = [0, 0]
  movey = [1, -1]
  q = queue.Queue()
  q.put([i, j])
  while not q.empty():
    y, x = q.get()
    for i in range(2):
      nx = x+movex[i]
      ny = y+movey[i]
      if 0<=ny<=h-1 and ans[ny][nx]==0 and s[ny][nx]==".":
        ans[ny][nx]=str(count)
        q.put([ny, nx])

def DFS(i, j): 
  movex = [1, -1]
  movey = [0, 0]
  x = j
  y = i
  #右を見る
  while x<=w-1:
    if ans[y][x]==0:
       x+=1
    else:
       return ans[y][x]
  x=j
  while x>=0:
    if ans[y][x]==0:
      x-=1
    else:
      return ans[y][x]

count = 1
for i in range(h):
  for j in range(w):
    if s[i][j]== "#":
      BFS(i, j, count)
      count+=1
  
for i in range(h):
  for j in range(w):
    if ans[i][j]==0:
      ans[i][j]=DFS(i, j)
      
for i in range(h):
  print(" ".join(ans[i]))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
l = list(map(int, input().split()))
a = [[i+1, l[i]] for i in range(n)]
a.sort(key=lambda x: x[1])
ans = ""
for i in range(n):
  ans = ans + str(a[i][0]) + " "

print(ans)

Fixed submission:
n = int(input())
l = list(map(int, input().split()))
ans = [0]*n
for i in range(n):
  ans[l[i]-1]=str(i+1)

print(" ".join(ans))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a= list(map(int, input().split()))
s = [0]*n
ans1 = 0
ans2 = ""
for i in range(1, n+1):
  temp = sum(s[n-i::n+1-i])
  if (temp % 2 == 0 and a[-i] == 1) or (temp % 2 == 1 and a[-i] == 0) :
    s[-i] = 1
    ans1 += 1
    ans2 = str(n+1-i) + " " + ans2

print(ans1)
print(ans2)

Fixed submission:
n = int(input())
a= list(map(int, input().split()))
s = [0]*n
ans2 = []
for i in range(1, n+1):
  temp = sum(s[n-i::n+1-i])
  if (temp % 2 == 0 and a[-i] == 1) or (temp % 2 == 1 and a[-i] == 0) :
    s[-i] = 1
    ans2.append(str(n+1-i)) 

ans2.reverse()
print(sum(s))
print(" ".join(ans2))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a= list(map(int, input().split()))
s = [0]*n
ans1 = 0
ans2 = ""
for i in range(1, n+1):
  temp = sum(s[n-i::n+1-i])
  if (temp % 2 == 0 and a[-i] == 1) or (temp % 2 == 1 and a[-i] == 0) :
    s[-i] = 1
    ans1 += 1
    ans2 = str(n+1-i) + " " + ans2

print(ans1)
print(ans2)

Fixed submission:
n = int(input())
a= list(map(int, input().split()))
s = [0]*n
ans2 = []
for i in range(1, n+1):
  temp = sum(s[n-i::n+1-i])
  if (temp % 2 == 0 and a[-i] == 1) or (temp % 2 == 1 and a[-i] == 0) :
    s[-i] = 1
    ans2.append(str(n+1-i)) 

ans2.reverse()
print(sum(s))
print(" ".join(ans2))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a= list(map(int, input().split()))
s = [0]*n
ans1 = 0
ans2 = ""
for i in range(1, n+1):
  temp = sum(s[n-i::n+1-i])
  #print("i: " + str(i) + "n+1-i: " + str(n+1-i))
  #print(temp)
  if temp % 2 == 0 and a[-i] == 0:
    s[-i] = 0
  elif temp % 2 == 1 and a[-i] == 1:
    s[-i] = 0
  else:
    s[-i] = 1
    ans1 += 1
    ans2 = str(n+1-i) + " " + ans2
  #print(a[-i]) 
  #print(a[n-i::n+1-i])

print(ans1)
print(ans2)

Fixed submission:
n = int(input())
a= list(map(int, input().split()))
s = [0]*n
ans2 = []
for i in range(1, n+1):
  temp = sum(s[n-i::n+1-i])
  if (temp % 2 == 0 and a[-i] == 1) or (temp % 2 == 1 and a[-i] == 0) :
    s[-i] = 1
    ans2.append(str(n+1-i)) 

ans2.reverse()
print(sum(s))
print(" ".join(ans2))
Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect_left
from collections import deque

n = int(input())
ans = []
ans.append(int(input()))

for i in range(n-1):
  
  temp = int(input())
  #print("ans " +  str(ans) + " temp " + str(temp))
  if temp <= ans[0]:
    d = deque(ans)
    d.appendleft(temp)
    ans = list(d)
  else:
    loc = bisect_left(ans, temp)
    ans[loc-1]=temp
#print(ans)
print(len(ans))
  

Fixed submission:
from bisect import bisect_left
from collections import deque

n = int(input())
ans = []
ans.append(int(input()))
ans = deque(ans)
for i in range(n-1):  
  temp = int(input())
  #print("ans " +  str(ans) + " temp " + str(temp))
  if temp <= ans[0]:
    #d = deque(ans)
    #d.appendleft(temp)
    #ans = list(d)
    ans.appendleft(temp)
  else:
    ans[bisect_left(ans, temp)-1]=temp
#print(ans)
print(len(ans))
Buggy python submission (verdict: Runtime Error):
a, b = list(map(int, input().split()))
lis = list(range(a, b+1))
lis2 = list(map(lambda x: x%2019, lis))
lis2.sort()
#print(lis2)
min1 = lis2.pop(0)
min2 = lis2.pop(0)
#print(min1)
#print(min2)
print((min1*min2)%2019)

Fixed submission:
a, b = list(map(int, input().split()))
if b-a >= 2019:
  print(0)
  quit()

lis = list(range(a, b+1))
  
ans = 2019

for i in range(b-a+1):
  for j in range(i+1, b-a+1):
    #print("i: " + str(lis[i]) + "  j: "+ str(lis[j]))
    temp = ((lis[i]%2019)*(lis[j]%2019))%2019
    #print(temp)
    if temp < ans:
      ans = temp
print(ans)
Buggy python submission (verdict: Runtime Error):

import fractions

def lcm(k):
    ans = k[0]
    for i in range(1, len(k)):
        ans = ans * k[i] // fractions.gcd(ans, k[i])
    return ans

a, b, c, d = list(map(int, input().split()))

cbaisu = baisu2(a, b, c)
dbaisu = baisu2(a, b, d)
cdbaisu = baisu2(a, b, lcm([c, d]))

print(b-a+1-cbaisu-dbaisu+cdbaisu)
  

Fixed submission:
def baisu(n, a):
  return n // a

def baisu2(n, m, a):
  return baisu(m, a)-baisu(n-1, a)

import fractions

def lcm(k):
    ans = k[0]
    for i in range(1, len(k)):
        ans = ans * k[i] // fractions.gcd(ans, k[i])
    return ans

a, b, c, d = list(map(int, input().split()))

cbaisu = baisu2(a, b, c)
dbaisu = baisu2(a, b, d)
cdbaisu = baisu2(a, b, lcm([c, d]))

print(b-a+1-cbaisu-dbaisu+cdbaisu)
Buggy python submission (verdict: Time Limit Exceeded):
n, m = list(map(int, input().split()))
a = [int(input()) for _ in range(m)]
b = list(range(1, n+1))
for i in a:
  b.remove(i)

dp = [0] * (n+1)
dp[0] = 1

if b[0] == 1:
  dp[1] = 1
  b.pop(0)
else:
  dp[1] = 0

  
for i in b:
  dp[i] = (dp[i-1]%1000000007 + dp[i-2]%1000000007)%1000000007
  
print(dp[n]%1000000007)


Fixed submission:
n, m = list(map(int, input().split()))
a = [int(input()) for _ in range(m)]
a.append(0)

dp = [0] * (n+1)
dp[0] = 1
acounter = 0
if a[0] == 1:
  dp[1] = 0
  acounter = 1
else:
  dp[1] = 1

for i in range(2, n+1):
  if i == a[acounter]:
    dp[i]=0
    acounter+=1
  else:
    dp[i] = (dp[i-1]%1000000007 + dp[i-2]%1000000007)%1000000007
  
print(dp[n]%1000000007)

Buggy python submission (verdict: Time Limit Exceeded):
n, m = list(map(int, input().split()))
a = [int(input()) for _ in range(m)]

dp = [0] * (n+1)
dp[0] = 1

if 1 in a:
  dp[1] = 0
else:
  dp[1] = 1
  
for i in range(2, n+1):
  if i in a:
    dp[i] = 0
  else:
    dp[i] = (dp[i-1] + dp[i-2])%1000000007
  
print(dp[n]%1000000007)


Fixed submission:
n, m = list(map(int, input().split()))
a = [int(input()) for _ in range(m)]
a.append(0)

dp = [0] * (n+1)
dp[0] = 1
acounter = 0
if a[0] == 1:
  dp[1] = 0
  acounter = 1
else:
  dp[1] = 1

for i in range(2, n+1):
  if i == a[acounter]:
    dp[i]=0
    acounter+=1
  else:
    dp[i] = (dp[i-1]%1000000007 + dp[i-2]%1000000007)%1000000007
  
print(dp[n]%1000000007)

Buggy python submission (verdict: Time Limit Exceeded):
n, m = list(map(int, input().split()))
a = [int(input()) for _ in range(m)]

dp = [0] * (n+1)
dp[0] = 1

if 1 in a:
  dp[1] = 0
else:
  dp[1] = 1
  
for i in range(2, n+1):
  if i in a:
    dp[i] = 0
  else:
    dp[i] = (dp[i-1] + dp[i-2])%1000000007
  
print(dp[n]%1000000007)


Fixed submission:
n, m = list(map(int, input().split()))
a = [int(input()) for _ in range(m)]
a.append(0)

dp = [0] * (n+1)
dp[0] = 1
acounter = 0
if a[0] == 1:
  dp[1] = 0
  acounter = 1
else:
  dp[1] = 1

for i in range(2, n+1):
  if i == a[acounter]:
    dp[i]=0
    acounter+=1
  else:
    dp[i] = (dp[i-1]%1000000007 + dp[i-2]%1000000007)%1000000007
  
print(dp[n]%1000000007)

Buggy python submission (verdict: Time Limit Exceeded):
n, m = list(map(int, input().split()))
a = [int(input()) for _ in range(m)]

dp = [0] * (n+1)
dp[0] = 1

if 1 in a:
  dp[1] = 0
else:
  dp[1] = 1
  
for i in range(2, n+1):
  if i in a:
    dp[i] = 0
  else:
    dp[i] = dp[i-1] + dp[i-2]
  
print(dp[n]%1000000007)

Fixed submission:
n, m = list(map(int, input().split()))
a = [int(input()) for _ in range(m)]
a.append(0)

dp = [0] * (n+1)
dp[0] = 1
acounter = 0
if a[0] == 1:
  dp[1] = 0
  acounter = 1
else:
  dp[1] = 1

for i in range(2, n+1):
  if i == a[acounter]:
    dp[i]=0
    acounter+=1
  else:
    dp[i] = (dp[i-1]%1000000007 + dp[i-2]%1000000007)%1000000007
  
print(dp[n]%1000000007)
Buggy python submission (verdict: Time Limit Exceeded):
n, m = list(map(int, input().split()))
row1 = list(map(int, input().split()))
lis = list(range(row1[0], row1[1]+1))
#print(lis)

for i in range(m-1):
  rowi = list(map(int, input().split()))
  rowi = list(range(rowi[0], rowi[1]+1))
  newlis = []
  for j in lis:
    #print(j)
    if j in rowi:
      newlis.append(j)
    #print(newlis)
  lis = newlis
      
print(len(lis))

Fixed submission:
n, m = list(map(int, input().split()))
low =[]
high=[]

for i in range(m):
  temp = list(map(int, input().split()))
  low.append(temp[0])
  high.append(temp[1])
  
maxlow= max(low)
minhigh=min(high) 

if minhigh-maxlow >= 0:
  print(minhigh-maxlow+1)
else:
  print(0)
Buggy python submission (verdict: Runtime Error):
from collections import deque

n = int(input())
ab = [list(map(int, input().split())) for i in range(n)]
ab = list(map(lambda x: [x[0], x[1], x[0]+x[1]], ab))
ab.sort(key=lambda x:x[2], reverse=True)
ab=deque(ab)
count = 0
ans=0
while len(ab)>0:
  a, b, dif = ab.popleft()
  if count%2==0:
    ans+=a
  else:
    ans-=b
  count+=1
print(ans)


Fixed submission:
n = int(input())
ans=0
if n == 1:
  print(0)
  quit()

#test = 0
#for i in range(1, n):
#  if n//i == n%i:
#    test+=i
#print(test)
  
for i in range(1, n):
  #余り、商がi
  temp=n-i
  syou=temp/i
  #print(syou)
  if syou>i:
    if syou.is_integer():
      ans+=int(syou)
  else:
    break
print(ans)

Buggy python submission (verdict: Runtime Error):
from collections import deque

n = int(input())
ab = [list(map(int, input().split())) for i in range(n)]
ab = list(map(lambda x: [x[0], x[1], x[0]+x[1]], ab))
ab.sort(key=lambda x:x[2], reverse=True)
ab=deque(ab)
count = 0
ans=0
while len(ab)>0:
  a, b, dif = ab.popleft()
  if count%2==0:
    ans+=a
  else:
    ans-=b
  count+=1
print(ans)

Fixed submission:
n = int(input())
ans=0
if n == 1:
  print(0)
  quit()

#test = 0
#for i in range(1, n):
#  if n//i == n%i:
#    test+=i
#print(test)
  
for i in range(1, n):
  #余り、商がi
  temp=n-i
  syou=temp/i
  #print(syou)
  if syou>i:
    if syou.is_integer():
      ans+=int(syou)
  else:
    break
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
b = set(a)
ans = 0
for i in b:
  temp = a.count(i)
  if temp > i:
    ans += temp-i
  elif temp < i:
    ans += temp
print(ans)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
b = []
c = {}
ans = 0
for i in range(n):
  if a[i] in c:
    c[a[i]] += 1
  else:
    c[a[i]] = 1
    b.append(a[i])
  
for i in range(len(b)):
  temp=c[b[i]]
  temp2=b[i] 
  if temp > temp2:
    ans += temp-temp2
  elif temp < temp2:
    ans += temp
  
  
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
b = set(a)
ans = 0
for i in b:
  temp = a.count(i)
  if temp > i:
    ans += temp-i
  elif temp < i:
    ans += temp
print(ans)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
b = []
c = {}
ans = 0
for i in range(n):
  if a[i] in c:
    c[a[i]] += 1
  else:
    c[a[i]] = 1
    b.append(a[i])
  
for i in range(len(b)):
  temp=c[b[i]]
  temp2=b[i] 
  if temp > temp2:
    ans += temp-temp2
  elif temp < temp2:
    ans += temp
  
  
print(ans)
Buggy python submission (verdict: Runtime Error):
import bisect

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

a.sort()
b.sort()
c.sort()

bc = [0]*n
bc[n-1]=n-bisect.bisect_right(c, b[n-1])

for i in range(0,n-1):
  bc[n-2-i]=bc[n-1-i] + n-bisect.bisect_right(c, b[n-2-i])

ans = 0
for i in range(n):
  ans += bc[bisect.bisect_right(b, a[i])]
  
print(ans)

Fixed submission:
import bisect

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

a.sort()
b.sort()
c.sort()

bc = [0]*n
bc[n-1]=n-bisect.bisect_right(c, b[n-1])

for i in range(0,n-1):
  bc[n-2-i]=bc[n-1-i] + n-bisect.bisect_right(c, b[n-2-i])

ans = 0
for i in range(n):
  temp = bisect.bisect_right(b, a[i])
  if temp != n:  
    ans += bc[temp]
  
print(ans)
Buggy python submission (verdict: Runtime Error):

def solve(pos):
  for i in range(m):
    if line[pos][i] == 1 and reach[i] == 0:
      reach[i] = 1
      solve(i)
  return

n, m = list(map(int, input().split()))
line = [[0]*n for i in range(n)]
ms = []
for i in range(m):
  a, b = list(map(int, input().split()))
  line[a-1][b-1]=1
  line[b-1][a-1]=1
  ms.append([a, b])
  
ans = 0
for i in range(m):
  line[ms[i][0]-1][ms[i][1]-1]=0
  line[ms[i][1]-1][ms[i][0]-1]=0
  reach=[0]*n
  reach[0]=1
  solve(0)
  if 0 in reach:
    ans += 1
  line[ms[i][0]-1][ms[i][1]-1]=1
  line[ms[i][1]-1][ms[i][0]-1]=1
print(ans)
  

Fixed submission:

def solve(pos):
  for i in range(n):
    if line[pos][i] == 1 and reach[i] == 0:
      reach[i] = 1
      solve(i)
  return

n, m = list(map(int, input().split()))
line = [[0]*n for i in range(n)]
ms = []

for i in range(m):
  a, b = list(map(int, input().split()))
  line[a-1][b-1]=1
  line[b-1][a-1]=1
  ms.append([a, b])
  
ans = 0
for i in range(m):
  line[ms[i][0]-1][ms[i][1]-1]=0
  line[ms[i][1]-1][ms[i][0]-1]=0
  reach=[0]*n
  reach[0]=1
  solve(0)
  if 0 in reach:
    ans += 1
  line[ms[i][0]-1][ms[i][1]-1]=1
  line[ms[i][1]-1][ms[i][0]-1]=1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
K, S = list(map(int, input().split()))

ans = 0

for x in range(K+1):
  for y in range(K+1):
    for z in range(K+1):
      if x+y+z==S:
        ans += 1
        
print(ans)

Fixed submission:
K, S = list(map(int, input().split()))

ans = 0

for x in range(K+1):
  for y in range(K+1):
    if 0 <= S-x-y <= K:
        ans += 1
        
print(ans)
Buggy python submission (verdict: Runtime Error):
s = input()
l = len(s)
for i in range(l-2):
  temp = s[i]
  if s[i+1]==temp:
    print(str(i+1)+" "+str(i+2))
    quit()
  if s[i+2]==temp:
    print(str(i+1)+" "+str(i+3))
    quit()
if s[i+1]==s[i+2]:
  print(str(i+2)+ " "+str(i+3))
  quit()
print("-1 -1")

Fixed submission:
s = input()
l = len(s)
for i in range(l-2):
  temp = s[i]
  if s[i+1]==temp:
    print(str(i+1)+" "+str(i+2))
    quit()
  if s[i+2]==temp:
    print(str(i+1)+" "+str(i+3))
    quit()
    
if s[-1]==s[-2]:
  print(str(l-1)+ " "+str(l))
  quit()
print("-1 -1")
Buggy python submission (verdict: Time Limit Exceeded):
#

import sys
from collections import deque
input=sys.stdin.readline

def main():
    H,W,K=map(int,input().split())
    x1,y1,x2,y2=map(int,input().split())
    x1-=1
    y1-=1
    x2-=1
    y2-=1
    mas=[list(input()) for i in range(H)]
    dist=[[-1]*W for i in range(H)]
    qu=deque([(x1,y1)])
    dist[x1][y1]=0
    qup=qu.popleft
    qua=qu.append
    d=((-1,0),(1,0),(0,-1),(0,1))
    while(len(qu)>0):
        v=qup()
        for di in d:
            for i in range(1,K+1):
                nvh=v[0]+i*di[0]
                nvw=v[1]+i*di[1]
                if nvh<0 or nvh>=H or nvw<0 or nvw>=W or mas[nvh][nvw]=="@":
                    break
                if dist[nvh][nvw]==-1:
                    dist[nvh][nvw]=dist[v[0]][v[1]]+1
                    qua((nvh,nvw))
    print(dist[x2][y2])
    
if __name__=="__main__":
    main()


Fixed submission:
#

import sys
from collections import deque
input=sys.stdin.readline

def main():
    H,W,K=map(int,input().split())
    x1,y1,x2,y2=map(int,input().split())
    x1-=1
    y1-=1
    x2-=1
    y2-=1
    mas=[list(input()) for i in range(H)]

    dist=[[-1]*W for i in range(H)]
    dist[x1][y1]=0
    
    qu=deque([(x1,y1)])
    qup=qu.popleft
    qua=qu.append
    
    d=((-1,0),(1,0),(0,-1),(0,1))
    
    while(len(qu)>0):
        v=qup()
        for di in d:
            for i in range(1,K+1):
                nvh=v[0]+i*di[0]
                nvw=v[1]+i*di[1]
                if nvh<0 or nvh>=H or nvw<0 or nvw>=W or mas[nvh][nvw]=="@":
                    break
                if dist[nvh][nvw]!=-1 and dist[nvh][nvw]<=dist[v[0]][v[1]]:
                    break
                if dist[nvh][nvw]==-1:
                    dist[nvh][nvw]=dist[v[0]][v[1]]+1
                    qua((nvh,nvw))
    print(dist[x2][y2])
    
if __name__=="__main__":
    main()
Buggy python submission (verdict: Time Limit Exceeded):
import sys
from functools import lru_cache
sys.setrecursionlimit(10 ** 8)


N, K = map(int, input().split())
M = 998244353
S = set()
for _ in range(K):
    L, R = map(int, input().split())
    for i in range(L, R + 1):
        S.add(i)


@lru_cache(None)
def dp(i):
    if i < 1:
        return 0
    elif i == 1:
        return 1
    else:
        res = 0
        for d in S:
            res += dp(i - d)
            res %= M
        return res
print(dp(N) % M)

Fixed submission:
N, K =map(int,input().split())
K = [tuple(map(int,input().split())) for i in range(K)]
M = 998244353

dp = [0] * N
dp[1] = 1
prefix = [1] * N

for i in range(1, N):
    cur = 0
    for L, R in K:
        a = i - R
        b = i - L
        if b < 0:
            continue
        cur += prefix[b] - (prefix[a - 1] if a - 1 >= 0 else 0)
    dp[i] = cur % M
    prefix[i] = prefix[i - 1] + dp[i]
    prefix[i] %= M
print(dp[N - 1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys
from functools import lru_cache
sys.setrecursionlimit(10 ** 8)


N, K = map(int, input().split())
M = 998244353
S = set()
for _ in range(K):
    L, R = map(int, input().split())
    for i in range(L, R + 1):
        S.add(i)


@lru_cache(None)
def dp(i):
    if i < 1:
        return 0
    elif i == 1:
        return 1
    else:
        res = 0
        for d in S:
            res += dp(i - d)
            res %= M
        return res
print(dp(N) % M)


Fixed submission:
N, K =map(int,input().split())
K = [tuple(map(int,input().split())) for i in range(K)]
M = 998244353

dp = [0] * N
dp[1] = 1
prefix = [1] * N

for i in range(1, N):
    cur = 0
    for L, R in K:
        a = i - R
        b = i - L
        if b < 0:
            continue
        cur += prefix[b] - (prefix[a - 1] if a - 1 >= 0 else 0)
    dp[i] = cur % M
    prefix[i] = prefix[i - 1] + dp[i]
    prefix[i] %= M
print(dp[N - 1])
Buggy python submission (verdict: Time Limit Exceeded):
import math

K = int(input())
if K % 2 == 0:
    print(-1)
else:
    a = 9 * K + 7
    def ok(n):
        return 63 * 10 ** n >= a
    left = 1
    right = 10 ** 9
    while right - left > 1:
        mid = (right + left) // 2
        if ok(mid):
            right = mid
        else:
            left = mid
    print(right - 1)


Fixed submission:
K = int(input())
res = 1
mod = 7
for i in range(K):
    if mod % K == 0:
        print(res)
        break
    res += 1
    mod = (mod * 10 + 7) % K
else:
    print(-1)
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
A = list(map(int, input().split()))
prefix = [1] * (N + 1)
for i, a in enumerate(A, 1):
    prefix[i] = prefix[i - 1] * a

for i in range(K + 1, N + 1):
    prev = prefix[i - 1] // prefix[i - K - 1]
    cur = prefix[i] // prefix[i - K]
    if cur > prev:
        print('Yes')
    else:
        print('No')

Fixed submission:
N, K = map(int, input().split())
A = list(map(int, input().split()))
for i in range(K, N):
    if A[i] > A[i - K]:
        print('Yes')
    else:
        print('No')
Buggy python submission (verdict: Time Limit Exceeded):
def f(n):
    pairs = set()
    for x in range(1, 45):
        for y in range(x, 45):
            temp = - 3 * (x + y) ** 2 + 4 * n + 4 * x * y
            if temp < 0:
                continue
            temp2 = int(temp ** .5)
            if temp2 * temp2 != temp:
                continue
            temp3 = - (x + y) + temp2
            temp4 = - (x + y) - temp2
            z1 = temp3 // 2
            z2 = temp4 // 2
            if z1 >= 1 and temp3 % 2 == 0:
                key = tuple(sorted((x, y, z1)))
                if key in pairs:
                    continue
                pairs.add(key)
            if z2 >= 1 and temp4 % 2 == 0:
                key = tuple(sorted((x, y, z2)))
                if key in pairs:
                    continue
                pairs.add(key)
    res = 0
    for x, y, z in pairs:
        if x == y == z:
            res += 1
        elif x == y or y == z or z == x:
            res += 3
        else:
            res += 6
    return res


N = int(input())
for i in range(1, N + 1):
    print(f(i))

Fixed submission:
def g(x, y, z):
    return x ** 2 + y ** 2 + z ** 2 + x * y + y * z + z * x


N = int(input())
count = [0] * (N + 1)
for x in range(1, 100):
    for y in range(1, 100):
        for z in range(1, 100):
            cur = g(x, y, z)
            if cur <= N:
                count[cur] += 1
for i in range(1, N + 1):
    print(count[i])

Buggy python submission (verdict: Time Limit Exceeded):
def f(n):
    res = 0
    for x in range(1, 100):
        for y in range(x, 100):
            for z in range(y, 100):
                if x ** 2 + y ** 2 + z ** 2 + x * y + y * z + z * x == n:
                    if x == y == z:
                        res += 1
                    elif x != y != z:
                        res += 6
                    else:
                        res += 3
    return res


N = int(input())
for i in range(1, N + 1):
    print(f(i))


Fixed submission:
def g(x, y, z):
    return x ** 2 + y ** 2 + z ** 2 + x * y + y * z + z * x


N = int(input())
count = [0] * (N + 1)
for x in range(1, 100):
    for y in range(1, 100):
        for z in range(1, 100):
            cur = g(x, y, z)
            if cur <= N:
                count[cur] += 1
for i in range(1, N + 1):
    print(count[i])
Buggy python submission (verdict: Runtime Error):
N = int(input())
mapping = 'zabcdefghijklmnopqrstuvwx'
res = []
for i in range(1, 99):
    if N <= 26 ** i:
        for j in range(i):
            res.append(mapping[N % 26])
            N //= 26
        break
    else:
        N -= 26 ** i
print(''.join(res))

Fixed submission:
N = int(input())
res = []
while N:
    r = N % 26
    if r == 0:
        r = 26
    res.append(chr(r + 96))
    if r == 26:
        N -= 1
    N //= 26
res.reverse()
print(''.join(res))