Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

def main():
    import sys
    input = sys.stdin.buffer.readline
    N, Q = map(int, input().split())
    *C, = map(int, input().split())

    last = [-1]*(N+1)
    P = []
    for i, c in enumerate(C):
        if last[c] != -1:
            P.append((last[c], i+1))
        last[c] = i+1

    queries = []
    for i in range(Q):
        l, r = map(int, input().split())
        queries.append((l, r, i))

    P.sort()
    queries.sort(reverse=True)

    class BIT():
        def __init__(self, n, x=1):
            self.n = n
            self.T = [0]*(n+1)

        def add(self, i, x):
            while i <= self.n:
                self.T[i] += x
                i += i & -i

        def sum(self, i):
            ret = 0
            while i:
                ret += self.T[i]
                i -= i & -i
            return ret

    bit = BIT(N)
    ans = [0]*Q
    for l, r, i in queries:
        while P and P[-1][0] >= l:
            cl, cr = P.pop()
            bit.add(cr, 1)
        ans[i] = r-l+1-bit.sum(r)

    print('\n'.join(map(str, ans)))


if __name__ == '__main__':
    main()


### FIXED CODE ###

def main():
    import sys
    input = sys.stdin.buffer.readline
    N, Q = map(int, input().split())
    *C, = map(int, input().split())

    last = [-1]*(N+1)
    P = [[] for _ in [0]*(N+1)]
    for i, c in enumerate(C):
        if last[c] != -1:
            P[last[c]].append(i+1)
        last[c] = i+1

    queries = [[] for _ in [0]*(N+1)]
    for i in range(Q):
        l, r = map(int, input().split())
        queries[l].append((r, i))

    def add(A, i, x):
        while i <= N:
            A[i] += x
            i += i & -i

    def sum(A, i):
        ret = 0
        while i:
            ret += A[i]
            i ^= i & -i
        return ret

    A = [0]*(N+1)
    ans = [0]*Q
    for l in range(N, 0, -1):
        for cr in P[l]:
            add(A, cr, 1)
        for r, i in queries[l]:
            ans[i] = r-l+1-sum(A, r)

    print(*ans, sep='\n')


if __name__ == '__main__':
    main()
### BUGGY CODE ###

N = int(input())
A = input().split()

from collections import Counter
B=Counter(A)

for k in range(N):
    C=B-Counter(A[k])
    ans=0
    for c in C.values():
        ans+=c*(c-1)//2
    print(ans)


### FIXED CODE ###

N = int(input())
A = input().split()

from collections import Counter
B=Counter(A)

ans=0
for c in B.values():
        ans+=c*(c-1)//2

for k in range(N):
    e=B[A[k]]
    ans_k=ans-e*(e-1)//2+(e-1)*(e-2)//2
    print(ans_k)
### BUGGY CODE ###

N = int(input())
S =  input()
dp = [0] * N
min_selct = N//2
max_length = 0
for i in range(N):
    max_j = (N -i)//2
    for j in range(max_j):
        current_length = max_j-j
        if S[i+current_length:N].find(S[i:i+current_length]) >= 0:
            max_length = max(max_length,current_length)
            break
print(max_length)

### FIXED CODE ###

n = int(input())
S = input()
N = [0]*n
j = 0
 
for i in range(n):
  while S[i:j] in S[j:n]:
    N[i] = j-i
    j += 1
    
print(max(N))
### BUGGY CODE ###

import sys
input = sys.stdin.readline
n=int(input())
A=[int(i) for i in input().split()]
B=[int(i) for i in input().split()]

from heapq import heappop, heappush
push = lambda x,i: heappush(BB,(-x,i))
BB=[]

for i,b in enumerate(B):
  push(b,i)

ans=0
while BB:
  b,ind=heappop(BB)
  b,ai=-b,A[ind]
  if b<ai:
    ans=-1
    break
  d=B[(ind-1)%n]+B[(ind+1)%n]
  dd=(b-ai)//d
  if dd==0:
    if b==ai:
      continue
    else:
      ans=-1
      break
  else:
    ans+=dd
    B[ind]-=d*dd
    push(B[ind],ind)
  
print(ans)


### FIXED CODE ###

n=int(input())
A=[int(i) for i in input().split()]
B=[int(i) for i in input().split()]

from heapq import heappop, heappush
push = lambda x,i: heappush(BB,(-x,i))
BB=[]

for i,b in enumerate(B):
  push(b,i)

ans=0
while BB:
  b,ind=heappop(BB)
  b,ai=-b,A[ind]
  if b<ai:
    ans=-1
    break
  d=B[(ind-1)%n]+B[(ind+1)%n]
  dd=(b-ai)//d
  if dd==0:
    if b==ai:
      continue
    ans=-1
    break
  ans+=dd
  B[ind]-=d*dd
  push(b-d*dd,ind)
  
print(ans)
### BUGGY CODE ###

n, q = map(int, input().split())
ab = dict([list(map(int, input().split()))[::-1] for i in range(n-1)])
px = [list(map(int, input().split())) for i in range(q)]
p = [0 for i in range(n)]
for i in px:
  p[i[0]-1] += i[1]
s = ""
for i in range(n):
  a = i+1
  v = 0
  while True:
    v += p[a-1]
    if a == 1:
      break
    a = ab[a]
  s += str(v) + " "
print(s)

### FIXED CODE ###

n, q = map(int, input().split())
ab = [list(map(int, input().split())) for i in range(n-1)]
ab.sort()
p = [0]*n
for i in range(q):
  a, b = map(int, input().split())
  p[a - 1] += b
s = ""
for i in ab:
  p[i[1]-1] += p[i[0]-1]
print(*p)
### BUGGY CODE ###

# ABC140E
class SegTree:
    def __init__(self, init_val, n, ide_ele, seg_func):
        self.segfunc = seg_func
        self.num = 2**(n-1).bit_length()
        self.ide_ele = ide_ele
        self.seg=[self.ide_ele]*2*self.num
        for i in range(n):
            self.seg[i+self.num-1]=init_val[i]    
        for i in range(self.num-2,-1,-1) :
            self.seg[i]=self.segfunc(self.seg[2*i+1],self.seg[2*i+2]) 
        
    def update(self, k, x):
        k += self.num-1
        self.seg[k] = x
        while k+1:
            k = (k-1)//2
            self.seg[k] = self.segfunc(self.seg[k*2+1],self.seg[k*2+2])
        
    def query(self, p, q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfunc(res,self.seg[p])
            if q&1 == 1:
                res = self.segfunc(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfunc(res,self.seg[p])
        else:
            res = self.segfunc(self.segfunc(res,self.seg[p]),self.seg[q])
        return res

n,Q=map(int,input().split())
xs,qs,tmp = [],[],[]
for _ in range(n):
    s,t,x=map(int,input().split())
    s,t,x=s-x-0.5,t-x-0.5,x
    xs.append((s,1,x))
    xs.append((t,0,x))
    tmp.append(x)
xs.sort()
tmp = list(set(tmp))
tmp.sort()
x2i = dict()
for i, x in enumerate(tmp):
    x2i[x] = i

q = int(input())
rs = set()
st = SegTree([len(tmp)]*len(tmp), len(tmp), len(tmp), min)
for t,r,x in xs:
    while True:
        if q < t:
            c = st.query(0,len(tmp))
            if c != len(tmp):
                print(tmp[c])
            else:
                print(-1)
            Q-=1
            if Q == 0:
                break
            q = int(input())
        else:
            break
#    print(t,r,x)
    if Q==0:
        break
    if r:
        st.update(x2i[x], x2i[x])
    else:
        st.update(x2i[x], len(tmp))
print("-1\n"*Q)


### FIXED CODE ###

import sys
input = sys.stdin.readline

n,Q=map(int,input().split())
b_num = 2**(n-1).bit_length()
mx = 10**9
segl=[mx]*2*b_num 

def update( k, x):
    k += b_num-1
    segl[k] = x
    while k+1:
        k = (k-1)//2
        segl[k] = min(segl[k*2+1],segl[k*2+2])
    
if __name__ == '__main__':
    xs = []
    for i in range(n):
        s,t,x=map(int,input().split())
        xs += [(s-x-0.4,True,x,i), (t-x-0.5,False,x,i)]
    for _ in range(Q):
        xs.append((int(input()),2))
    xs.sort(key=lambda x:x[0])
    for x in xs:
        if x[1]==2:
            print(segl[0] if segl[0]!= mx else -1)
            continue
        update(x[3], x[2] if x[1] else mx)
### BUGGY CODE ###

from collections import Counter
n=int(input())
S=[input() for _ in range(n)]

cnt=Counter(S)
maxcnt=cnt.most_common()[0][1]
ans=[]
for i in range(len(cnt)):
  if cnt.most_common()[i][1]==maxcnt:
    ans.append(cnt.most_common()[i][0])
  else:
    break
ans.sort()
print(*ans,sep='\n')


### FIXED CODE ###

from collections import Counter
n=int(input())
S=[input() for _ in range(n)]

cnt=Counter(S)
cnt=cnt.most_common()
maxcnt=cnt[0][1]
ans=[]
for i in range(len(cnt)):
  if cnt[i][1]==maxcnt:
    ans.append(cnt[i][0])
  else:
    break
ans.sort()
print(*ans,sep='\n')
### BUGGY CODE ###

#13:19
n = int(input())
s = input()
t = []
for i in range(n):
  t.append(ord(s[i])-ord('a'))
q = int(input())
scale = 19
seg = [[0 for _ in range(2**(scale+1))] for _ in range(26)]
for i in range(n):
  tmp = int(i) + 2 ** scale
  x = t[i]
  while tmp != 0:
    seg[x][tmp] += 1
    tmp //= 2
#print(seg)
for _ in range(q):
  d,a,b = input().split()
  if d == '1':
    b = ord(b) - ord('a')
    tmp = int(a) - 1
    c = t[tmp]
    tmp += 2**scale
    while tmp != 0:
      seg[c][tmp] -= 1
      tmp //= 2
    tmp = int(a) - 1
    t[tmp] = b
    tmp += 2**scale
    while tmp != 0:
      seg[b][tmp] += 1
      tmp //= 2
  else:
    a = int(a) - 2
    b = int(b) - 1
    ans = 0
    for d in range(26):
      l = 0
      r = 0
      if a == -1:
        l = 0
      else:
        tmp = a + 2**scale
        l += seg[d][tmp]
        while tmp != 1:
          if tmp % 2 == 1:
            l += seg[d][tmp-1]
          tmp //= 2
      tmp = b + 2**scale
      r += seg[d][tmp]
      tmp = tmp // 2
      while tmp != 1:
        if tmp % 2 == 1:
          r += seg[d][tmp-1]
        tmp //= 2
      if r > l:
        ans += 1
      #print(d,r,l)
    print(ans)
#print(t)

### FIXED CODE ###

#13:19
n = int(input())
s = input()
t = []
for i in range(n):
  t.append(ord(s[i])-97)
q = int(input())
scale = 19
seg = [[0 for _ in range(2**(scale+1))] for _ in range(26)]
for i in range(n):
  tmp = int(i) + 2 ** scale
  x = t[i]
  while tmp != 0:
    seg[x][tmp] += 1
    tmp //= 2
#print(seg)
raw = []
for _ in range(q):
  d,a,b = input().split()
  d = int(d)
  if d == 1:
    a = int(a) - 1
    b = ord(b) - 97
  else:
    a = int(a) - 2
    b = int(b) - 1
  raw.append([d,a,b])
for p in range(q):
  d,a,b = raw[p]
  if d == 1:
    tmp = int(a)
    c = t[tmp]
    tmp += 2**scale
    while tmp != 0:
      seg[c][tmp] -= 1
      tmp >>= 1
    tmp = int(a)
    t[tmp] = b
    tmp += 2**scale
    while tmp != 0:
      seg[b][tmp] += 1
      tmp >>= 1
  else:
    ans = 0
    for d in range(26):
      l = 0
      r = 0
      if a == -1:
        l = 0
      else:
        tmp = a + 2**scale
        l += seg[d][tmp]
        while tmp != 1:
          if tmp & 1:
            l += seg[d][tmp-1]
          tmp >>= 1
      tmp = b + 2**scale
      r += seg[d][tmp]
      while tmp != 1:
        if tmp & 1:
          r += seg[d][tmp-1]
        tmp >>= 1
      if r > l:
        ans += 1
      #print(d,r,l)
    print(ans)
#print(t)
### BUGGY CODE ###

m=1001
while 1:
  n,s=map(int,raw_input().split())
  if n==s==0: break
  A=range(n)
  d=[[0]*m for i in A]
  for i in range(101):
    for j in A[::-1]:
      if j==0: d[j][i]=1
      else:
        for k in range(m):
          if k+i<m: d[j][k+i]+=d[j-1][k]
  print d[n-1][s]

### FIXED CODE ###

m=1001
A=range(9)
d=[[0]*m for i in A]
for i in range(101):
  for j in A[1:][::-1]:
    for k in range(m-i): d[j][k+i]+=d[j-1][k]
  d[0][i]=1
while 1:
  n,s=map(int,raw_input().split())
  if n==s==0: break
  print d[n-1][s]
### BUGGY CODE ###

n=int(input())
A=list(map(int,input().split()))
print(" ".join(map(str,[A.index(i)+1 for i in range(1,n+1)])))

### FIXED CODE ###

n=int(input())
A=list(map(int,input().split()))
ans = list(range(n))
for i in range(n):
  ans[A[i]-1] = i+1
print(" ".join(map(str,ans)))
### BUGGY CODE ###

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

dp = [sys.maxsize]*n
dp[0]=0

#print(dp)
for i in range(n):
  for j in range(i+1,i+k+1):
    if j<n:
      dp[j] = min(dp[j],dp[i]+abs(a[i]-a[j]))
  #print(dp)
      
print(dp[n-1])

### FIXED CODE ###

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

dp = [sys.maxsize]*n
dp[0]=0

#print(dp)
for i in range(n):
  for j in range(i+1,i+k+1):
    if j<n:
      dp[j] = min(dp[j],dp[i]+abs(a[i]-a[j]))
  #print(dp)
      
print(dp[n-1])
### BUGGY CODE ###

def f():
    nc, nt, nq = map(int, input().split())
    t = [list(map(int, input().split())) for _ in range(nt)]
    q = [list(map(int, input().split())) for _ in range(nq)]
    dp = [[0] * (nc + 1) for _ in range(nc + 1)]
    for l, r in t:
        for i in range(1, l + 1):
            dpi = dp[i]
            for j in range(r, nc + 1):
                dpi[j] += 1
    for l, r in q:
        print(dp[l][r])

f()

### FIXED CODE ###

def f(nc, nt, nq):
    t = [list(map(int, input().split())) for _ in range(nt)]
    q = [list(map(int, input().split())) for _ in range(nq)]
    dp = [[0] * (nc + 1) for _ in range(nc + 1)]
    for l, r in t:
        dp[l][r] += 1
    for i in range(1, nc + 1):
        dpi = dp[i]
        s = dpi[0]
        for j in range(1, nc + 1):
            dpi[j] = s = dpi[j] + s
    for j in range(1, nc + 1):
        s = dp[0][j]
        for i in range(1, nc + 1):
            dp[i][j] = s = dp[i][j] + s
    for l, r in q:
        print(dp[r][r] - dp[l - 1][r] - dp[r][l - 1] + dp[l - 1][l - 1])


nc, nt, nq = map(int, input().split())
f(nc, nt, nq)
### BUGGY CODE ###

n,m,k = map(int,input().split())
ab = [[] for i in range(n)]
for i in range(m):
    a,b = map(int,input().split())
    ab[a-1].append(b-1)
    ab[b-1].append(a-1)
cd = [[] for i in range(n)]
for i in range(k):
    c,d = map(int,input().split())
    cd[c-1].append(d-1)
    cd[d-1].append(c-1)
    
ans = [0 for i in range(n)]
data = [0 for i in range(n)] #見たら1
for i in range(n): #自分がi
    if(data[i] != 0):
        break
    data[i] = 1
    data2 = ab[i] + [i]
    for j in ab[i]:
        data[j] = 1
    new_friends = [ab[i]]
    for fris in new_friends:
        new = []
        for fri in fris: #この層の友人を１人選ぶ
            for frfr in ab[fri]: #その友人の友人
                if(data[frfr] == 0):
                    data[frfr] = 1
                    new.append(frfr)
                    data2.append(frfr)
        if(len(new)==0):
            break
        else:
            new_friends.append(new)
    for j in data2:
        count = 0
        for ano in data2:
            if(j != ano and ano not in ab[j] and ano not in cd[j]):
                count += 1
        ans[j] = count


print(*ans)

### FIXED CODE ###

n,m,k = map(int,input().split())
ab = [[] for i in range(n)]
for i in range(m):
    a,b = map(int,input().split())
    ab[a-1].append(b-1)
    ab[b-1].append(a-1)
cd = [set([]) for i in range(n)]
for i in range(k):
    c,d = map(int,input().split())
    cd[c-1].add(d-1)
    cd[d-1].add(c-1)
    
ans = [0 for i in range(n)]
data = [0 for i in range(n)] #見たら1
for i in range(n): #自分がi
    if(data[i] != 0): #もう見てたら必要なし
        continue
    data[i] = 1 #iの人を見る
    data2 = ab[i] + [i]
    data2 = set(data2)
    for j in ab[i]:
        data[j] = 1
    new_friends = [ab[i]]
    for fris in new_friends:
        new = [] #次の深さのリスト
        for fri in fris: #この層の友人を１人選ぶ
            for frfr in ab[fri]: #その友人の友人
                if(data[frfr] == 0): #見てなかったら加える
                    data[frfr] = 1 
                    new.append(frfr) #次の深さのリストに足す
                    data2.add(frfr) #グラフに足す
        if(len(new)==0):
            break
        else:
            new_friends.append(new)

    sam = len(data2)
    for j in data2:
        count = sam
        ans[j] = count - len(ab[j]) - len(cd[j] & data2) - 1 #自分と友達を除く


print(*ans)
### BUGGY CODE ###

N = int(input())
a = []
for i in range(N):
    A = int(input())
    a.append(A)
b = []
for i in range(N):
    for j in range(N):
        if i != j:
            b.append(a[j])
        b = sorted(b)
    print(b[-1])
    b = []

### FIXED CODE ###

N = int(input())
a = []
ans = []
for i in range(N):
    A = int(input())
    a.append(A)

b = sorted(a)

m = max(a)
for i in a:
    if i == m:
        ans.append(b[-2])
    else:
        ans.append(m)

for i in ans:
    print(i)
### BUGGY CODE ###

def resolve():
    N = int(input())
    TA = [list(map(int, input().split())) for i in range(N)]
    t, a = TA[0]
    for i in range(1, len(TA)):
        t_next, a_next = TA[i]
        mul = 1
        while True:
            if t_next*mul >= t and a_next*mul >= a:
                t = t_next*mul
                a = a_next*mul
                break
            mul += 1
    print(t+a)


if '__main__' == __name__:
    resolve()



### FIXED CODE ###

import math
def resolve():
    N = int(input())
    TA = [list(map(int, input().split())) for i in range(N)]
    t, a = TA[0]
    for i in range(1, len(TA)):
        t_next, a_next = TA[i]
        div = max((t//t_next)+(t%t_next!=0), (a//a_next)+(a%a_next!=0))
        t = t_next*div
        a = a_next*div
    print(t+a)


if '__main__' == __name__:
    resolve()
### BUGGY CODE ###

s = input()
while len(s) >= 4:
  s.replace("eraser", "")
  s.replace("erase", "")
  s.replace("dreamer", "")
  s.replace("dream", "")
  if len(s) == 0:
    print('YES')
    exit()
print('NO')

### FIXED CODE ###

s=input().replace("eraser","").replace("erase","").replace("dreamer","").replace("dream","")
if s:
    print("NO")
else:
    print("YES")
### BUGGY CODE ###

n = int(input())
a = list(map(int,input().split()))
b = [a[0]]
for i in range(n-1):
    b.append(a[i+1]-a[i])
b.append(-a[-1])
for i in range(n):
    k = 0
    for l in range(n+1):
        if l == i:
            k += abs(b[i]+b[i+1])
        elif l != i+1:
            k += abs(b[l])
    print(k)


### FIXED CODE ###

n = int(input())
a = list(map(int,input().split()))
a.append(0)
a.insert(0,0)
s = 0
for i in range(n+1):
    s += abs(a[i]-a[i+1])
for i in range(1,n+1):
    print(s-abs(a[i]-a[i-1])-abs(a[i]-a[i+1])+abs(a[i-1]-a[i+1]))
### BUGGY CODE ###

# coding: utf-8
# Your code here!
n=int(input())
s=list(input())
ans=0
for i in range(n):
    for j in range(i+1,n):
        for k in range(j+1,n):
            if s[i]!=s[j] and s[j]!=s[k]and s[k]!=s[i] and j-i!=k-j:
                ans+=1
print(ans)

### FIXED CODE ###

# coding: utf-8
# Your code here!
n=int(input())
s=list(input())
ans=0
t=[]
ss=[]
for i in range(n):
    t.append(s[i:])
    ss.append(t[i].count('R'))
    ss.append(t[i].count('G'))
    ss.append(t[i].count('B'))
#print(t)
for i in range(n-2):
    for j in range(i+1,n-1):
        if s[i]==s[j]:
            continue
        else:
            if s[i]=='R' and s[j]=='G'or s[i]=='G'and s[j]=='R':
                ans+=ss[3*(j+1)+2]
                if 2*j-i<n:
                    if s[2*j-i]=='B':
                        ans-=1
            if s[i]=='B' and s[j]=='R'or s[i]=='R'and s[j]=='B':
                ans+=ss[3*(1+j)+1]
                if 2*j-i<n:
                    if s[2*j-i]=='G':
                        ans-=1
            if s[i]=='B' and s[j]=='G'or s[i]=='G'and s[j]=='B':
                ans+=ss[3*j+3]
                if 2*j-i<n:
                    if s[2*j-i]=='R':
                        ans-=1
        #print(ans)
print(ans)
### BUGGY CODE ###

r=input().strip().split()
N=int(r[0])
a=int(r[1])
z=input().strip().split()

maximum=0

for j in range (0,N-a+1):
  s=0
  for p in range (j,j+a):
    s+=(1+int(z[p]))/2
 
  if s>maximum:
    maximum=s

print(maximum)

### FIXED CODE ###

r=input().strip().split()
N=int(r[0])
a=int(r[1])
z=input().strip().split()
s=0
for p in range (a):
    s+=(1+int(z[p]))/2
maximum=s

for j in range (0,N-a):
  s-=(1+int(z[j]))/2
  s+=(1+int(z[j+a]))/2
  if s>maximum:
    maximum=s

print(maximum)
### BUGGY CODE ###

N = int(input())
count = 0
P = list(map(int,input().split()))
list = [True]*N
for j in range(N):
    for i in range(j+1,N):
        if P[i] <= P[j]:
            None
        else:
            list[i] = False
print(list.count(True))

### FIXED CODE ###

N = int(input())
count = 1
P = list(map(int,input().split()))
last_min = P[0]
for n in range(1,N):
    if last_min >= P[n]:
        count += 1
    last_min = min(last_min,P[n])
print(count)
### BUGGY CODE ###

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

a0 = a[0]
a_else = a[1:]

for ai  in a_else:
    a0 *= ai


if a0 > 10**18:
    print('-1')
else:
    print(a0)
    

### FIXED CODE ###

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

a0 = a[0]
a_else = a[1:]
th = 10**18
for ai in sorted(a_else):
    a0 *= ai
    if a0 > th:
        print('-1')
        exit()

print(a0)
### BUGGY CODE ###

MOD = int(10**9 + 7)

N, K = map(int, input().split())
tot = [0]*(K+1)

for i in range(K,0,-1):
    tot[i] = ((K//i)**N) % MOD
    s = 2
    while s*i <= K:
        tot[i] -= tot[s*i]
        s += 1
        
ans = 0
for i in range(K+1):
    ans += ((tot[i]%MOD)*i)%MOD

print(ans%MOD)

### FIXED CODE ###

MOD = int(10**9 + 7)

def pow_mod(x, n, mod):
    if n > 1:
        return pow_mod(pow(x,2) % mod, n//2, mod) * pow(x, n%2) % mod
    else:
        return x


N, K = map(int, input().split())
tot = [0]*(K+1)

for i in range(K,0,-1):
    tot[i] = pow_mod(K//i, N, MOD)
    s = 2
    while s*i <= K:
        tot[i] -= tot[s*i]
        s += 1
        
ans = 0
for i in range(K+1):
    ans += ((tot[i]%MOD)*i)%MOD

print(ans%MOD)
### BUGGY CODE ###

n, k = map(int, input().split())

a = [0]
a.extend(list(map(int, input().split())))
a1 = []
for i in range(0, len(a)):
    a1.append(0)
step = 1
t = 0
if k<=8:
    for i in range(0, k):
        step = a[step]
    print(step)
else:

    for i in range(0, 7):
        step = a[step]

        step1 = step
    while(True):
        t += 1
        step1 = a[step1]
        if step1 == step:
            break
    result = step
    k = (k-7) % t
    for i in range(0, k):
        result = a[result]

    print(result)


### FIXED CODE ###

n, k = map(int, input().split())

a = [0] + list(map(int, input().split()))
a1 = [0] * (n+1)

step = 1
start = 0
while(True):
    start += 1
    a1[step] += 1
    step = a[step]
    if a1[step] == 1:
        break
c = step
gap = 0
while(True):
    gap += 1
    step = a[step]
    if step == c:
        break
result = 1
if k > start:
    k = (k-start) % gap
    result = c
for _ in range(k):
    result = a[result]

print(result)
### BUGGY CODE ###

N = int(input())

s = []
for i in range(N):
    s.append(sorted(input()))

result = 0
for i, elm in enumerate(s):
    result += s[i+1:].count(elm)

print(result)


### FIXED CODE ###

N = int(input())

s = ["".join(sorted(input())) for i in range(N)]

count = 0
d = {}
for elm in s:
    if elm in d:
        count += d[elm]
        d[elm] += 1
    else:
        d[elm] = 1

print(count)
### BUGGY CODE ###

K, S = map(int, input().split())
number = 0
for x in range(K+1):
  for y in range(K+1):
    for z in range(K+1):
      if x + y + z == S:
        number += 1
print(number)

### FIXED CODE ###

K, S = map(int, input().split())
number = 0
for x in range(K+1):
  for y in range(K+1):
    z = S - (x + y)
    if 0 <= z <= K:
      number += 1
print(number)
### BUGGY CODE ###

# -*- coding: utf-8 -*-
import queue

n, x, y = map(int, input().split())
x -= 1
y -= 1
INF = 10010101010101
ans = [0 for _ in range(n)]
def put(v, d):
    if dist[v] != INF:
        return
    dist[v] = d
    q.put(v)
for sv in range(n):
    q = queue.Queue()
    dist = [INF for _ in range(n)]
    put(sv, 0)
    while not q.empty():
        v = q.get()
        d = dist[v]
        if v-1 >= 0:
            put(v-1, d+1)
        if v+1 < n:
            put(v+1, d+1)
        if v == x:
            put(y, d+1)
        if v == y:
            put(x, d+1)
    for i in range(n):
        ans[dist[i]] += 1
for i in range(n):
    ans[i] = int(ans[i] / 2)

for i in range(1, n):
    print(ans[i])


### FIXED CODE ###

# -*- coding: utf-8 -*-
n, x, y = map(int, input().split())
x -= 1
y -= 1
ans = [0]*n
for i in range(n):
    for j in range(i + 1, n):
        dist1 = j - i
        dist2 = abs(x - i) + abs(y - j) + 1
        ans[min(dist1, dist2)] += 1
print(*ans[1:], sep='\n')
### BUGGY CODE ###

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

res = 0
for x in range(a, b+1):
    if (x%c)and(x%d):
        res += 1

print(res)

### FIXED CODE ###

def gcd(x,y):
  while y!=0:
    x,y=y,x%y
  return x

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

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

print(
    b - (b//c) - (b//d) + (b//cd) \
    -((a-1) - ((a-1)//c) - ((a-1)//d) + ((a-1)//cd))
    )