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

# encoding: utf-8
D_MAX = 10
P_MAX = 100

num_and_pnt = lambda x: [int(x[0]), int(x[1]) // 100]
D, G = num_and_pnt(input().split())
# [pi, ci]
pc = [num_and_pnt(input().split()) + [i] for i in range(D)]
pc.sort(key=lambda x: -((x[2] + 1) * x[0] + x[1]))

# depth-first-like search
G_tab = [(x[2] + 1) * x[0] + x[1] for x in pc]
cnt_tab = [x[0] for x in pc]
G_stack = [G_tab[0]]
cnt_stack = [cnt_tab[0]]
order = [0]

mincnt = D_MAX * P_MAX
while True:
    ## deepth increament (continue)
    if sum(G_stack) < G:
        # append lowest item (always break?)
        for i in range(D):
            if i not in order: break
        order.append(i)
        G_stack.append(G_tab[i])
        cnt_stack.append(cnt_tab[i])
        continue
    ## skip check
    G_tmp = sum(G_stack[:-1])
    cnt_tmp = sum(cnt_stack[:-1])
    if cnt_tmp < mincnt:
        ## evaluate cnt_last
        idx = order[-1]
        x = pc[idx]
        cnt_last = x[0]
        for i in range(x[0]):
            cnt_last -= 1
            G_last = (x[2] + 1) * cnt_last
            # print("##", cnt_last, G_tmp + G_last, G)
            if G_tmp + G_last < G: break
        cnt_last += 1
        ## update mincnt
        # print("#", order, cnt_tmp, cnt_last, G - G_tmp, "/", mincnt)
        if cnt_tmp + cnt_last < mincnt: mincnt = cnt_tmp + cnt_last
    ## next node
    order_last = order[-1] + 1
    while True:
        if order_last > D - 1:
            G_stack.pop()
            cnt_stack.pop()
            order.pop()
            if len(order) < 1: break # end
            order_last = order[-1] + 1
            continue
        elif order_last in order:
            order_last = order_last + 1
            continue
        else:
            order[-1] = order_last
            G_stack[-1] = G_tab[order_last]
            cnt_stack[-1] = cnt_tab[order_last]
            break
    ## escape
    if len(order) < 1: break # end

print(mincnt)

### FIXED CODE ###

# encoding: utf-8
D_MAX = 10
P_MAX = 100

num_and_pnt = lambda x: [int(x[0]), int(x[1]) // 100]
D, G = num_and_pnt(input().split())
# [pi, ci]
pc = [num_and_pnt(input().split()) for i in range(D)]

G_list = [(i + 1) * x[0] + x[1] for i, x in enumerate(pc)]
cnt_list = [x[0] for i, x in enumerate(pc)]
idx = [map(int, format(i, "b")) for i in range(2 ** D)]

# i, G_comp, cnt_comp
table = [ (i, sum([((i // (2 ** j)) % 2) * G_list[j] for j in range(D)]), sum([((i // (2 ** j)) % 2) * cnt_list[j] for j in range(D)])) for i in range(2 ** D)] # very long
# print(table)
mincnt = D_MAX * P_MAX
for i, (G_last, cnt_last) in enumerate(zip(G_list, cnt_list)):
    for j, G_comp, cnt_comp in filter(lambda x: (((x[0] // (2 ** i)) % 2 == 0) and (x[1] <= G < x[1] + G_last) and (x[2] < mincnt)), table):
        # print(i, (G_last, cnt_last), j, G_comp, cnt_comp)
        cnt_last_tmp = min((-((G_comp - G) // (i + 1)), cnt_last))
        if cnt_comp + cnt_last_tmp < mincnt: mincnt = cnt_comp + cnt_last_tmp

print(mincnt)
### BUGGY CODE ###

N, K = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
import copy
Z = copy.deepcopy(A)
for i in range(1, N):
    Z.append(abs(A[i] - A[i - 1]))
Z.sort()
i = 0

while True:
    if i >= len(Z):
        break
    if Z[i] == 0:
        del Z[i]
        i -= 1
    if i > 0 and Z[i] == Z[i - 1]:
        del Z[i]
        i -= 1
    i += 1

ans = -1

import fractions
gcd = Z[0]
for i in range(1, len(Z)):
    gcd = fractions.gcd(gcd, Z[i])

if K % gcd == 0:
    ans = 1
    
if K > max(A):
    ans = -1
       
for i in A:
    if K == i:
        ans = 1
        break

if ans == -1:
    print("IMPOSSIBLE")
else:
    print("POSSIBLE")


### FIXED CODE ###

N, K = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
import copy
Z = copy.deepcopy(A)
#for i in range(1, N):
 #   Z.append(abs(A[i] - A[i - 1]))
Z.sort()
i = 0

while True:
    if i >= len(Z):
        break
    if Z[i] == 0:
        del Z[i]
        i -= 1
    elif i > 0 and Z[i] == Z[i - 1]:
        del Z[i]
        i -= 1
    i += 1

ans = -1

import fractions
gcd = Z[0]
for i in range(1, len(Z)):
    gcd = fractions.gcd(gcd, Z[i])

if K % gcd == 0:
    ans = 1
    
if K > max(A):
    ans = -1
       
for i in A:
    if K == i:
        ans = 1
        break

if ans == -1:
    print("IMPOSSIBLE")
else:
    print("POSSIBLE")
### BUGGY CODE ###

import numpy as np

n = int(input())
p = np.array(list(map(int, input().split())))

cnt = 0
for i in range(n):
    if p[i] <= np.min(p[:i+1]):
    # if all(map(lambda pj: p[i] <= pj, p[:i + 1])):
        cnt += 1
        if p[i] == 1:
            break


print(cnt)

### FIXED CODE ###

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

cnt = 0
pjmin = P[0]
for pi in P:
    if pi <= pjmin:
        cnt +=1
        pjmin = pi
        if pi ==1:
            break
print(cnt)
### BUGGY CODE ###

import numpy as np

n, x, y = map(int, input().split())

ans = []
for i in range(1, n+1):
  for j in range(i, n+1):
    ji = i - j
    xi = i - x
    jy = y - j
    yi = i - y
    jx = x - j
    l = [np.abs(ji),  np.abs(xi) + 1 + np.abs(jy)]
    m = min(l)
    ans.append(m)
      
    
for k in range(n-1):
  print(ans.count(k+1))


### FIXED CODE ###

n, x, y = map(int, input().split())

ans = [0]*n
for i in range(1, n+1):
  for j in range(i, n+1):
    m = min(j-i,  abs(x-i) + 1 + abs(j-y))
    ans[m] += 1
      
print(*ans[1:], sep = '\n')
### BUGGY CODE ###

n = int(input())
a = list(map(int, input().split()))
res = 2020202020
for i in range(n):
  res = min(res, abs(sum(a[:i]) - sum(a[i:])))
print(res)

### FIXED CODE ###

import itertools
n = int(input())
a = list(itertools.accumulate(list(map(int, input().split()))))
sum_a = a[-1]
res = 2020202020
for i in range(n):
  res = min(res, abs(sum_a - a[i]*2))
print(res)
### BUGGY CODE ###

import sys
sys.setrecursionlimit(10 ** 8)

N, W = map(int, input().split())
w = []
v = []
for i in range(N):
    a, b = map(int, input().split())
    w.append(a)
    v.append(b)
    
dp = [[-1] *(W + 1) for i in range(N + 1)]
    
def dfs(i, W):
    if dp[i][W] != -1:
        return dp[i][W]
    if i == N:
        ans = 0
    elif w[i] > W:
        ans = dfs(i + 1, W)
    else:
        ans = max(dfs(i + 1, W), dfs(i + 1, W - w[i]) + v[i])
    dp[i][W] = ans
    return ans

print(dfs(0, W))

### FIXED CODE ###

N, W = map(int, input().split())
w = []
v = []
for i in range(N):
    a, b = map(int, input().split())
    w.append(a)
    v.append(b)
    
dp = [[0] *(W + 1) for i in range(N + 1)]

for i in range(N):
    for j in range(W + 1):
        if j < w[i]:
            dp[i + 1][j] = dp[i][j]
        else:
            dp[i + 1][j] = max(dp[i][j], dp[i][j - w[i]] + v[i])
            
print(dp[N][W])
### BUGGY CODE ###

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

t = [0]*Q
d = [0]*Q
for q in range(Q):
    t[q],d[q] = map(str, input().split())

mas = [[-1] for i in range(26)]
for n in range(N):
    mas[ord(S[n])-65].append(n)

cnt = [1]*N

for q in range(Q):
    if d[q] == 'L':
        for n in mas[ord(t[q])-65]:
            if n == -1:
                continue
            if n == 0:
                cnt[n] = 0
            else:
                cnt[n-1] += cnt[n]
                cnt[n] = 0 
    else:
        for n in reversed(mas[ord(t[q])-65]):
            if n == -1:
                continue
            if n == N-1:
                cnt[n] = 0
            else:
                cnt[n+1] += cnt[n]
                cnt[n] = 0


print(sum(cnt))

### FIXED CODE ###

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

t = [0]*Q
d = [0]*Q
for q in range(Q):
    t[q],d[q] = map(str, input().split())


s1 = 0
sN = N-1

for q in reversed(range(Q)):
    if t[q] == S[s1] and d[q] == 'L':
        s1 += 1
    elif s1 > 0:
        if d[q] == 'R' and S[s1-1] == t[q]:
            s1 -= 1
    if t[q] == S[sN] and d[q] == 'R':
        sN -= 1
    elif sN < N-1:
        if d[q] == 'L' and S[sN+1] == t[q]:
            sN += 1
    if s1 > sN:
        break
    #print(s1,sN)


print(sN-s1+1)
### BUGGY CODE ###

texts = str(input())
Q = int(input())


reverse = False
start_text = ''
end_text = ''
input_texts = []
for _ in range(Q):
    input_texts.append(list(input().split()))

for input_text in input_texts:
    if len(input_text) == 1:
        if reverse:
            reverse = False
        else:
            reverse = True
    else:
        if input_text[1] == '1':  # 先頭に
            if reverse:
                end_text += str(input_text[2])
            else:
                start_text = str(input_text[2]) + start_text
        else:  # 末尾に
            if reverse:
                start_text = str(input_text[2]) + start_text
            else:
                end_text += str(input_text[2])

if reverse:
    text = ''.join(texts)
    text = list(start_text + text + end_text)
    text.reverse()
    print("".join(text))
else:
    text = ''.join(texts)
    text = start_text + text + end_text
    print(text)


### FIXED CODE ###

from collections import deque
texts = deque(str(input()))
Q = int(input())


reverse = False
start_text = deque('')
end_text = deque('')
input_texts = []
for _ in range(Q):
    input_texts.append(list(input().split()))

for input_text in input_texts:
    if len(input_text) == 1:
        if reverse:
            reverse = False
        else:
            reverse = True
    else:
        if input_text[1] == '1':  # 先頭に
            if reverse:
                end_text.append(str(input_text[2]))
            else:
                start_text.appendleft(str(input_text[2]))
        else:  # 末尾に
            if reverse:
                start_text.appendleft(input_text[2])
            else:
                end_text.append(input_text[2])

# print(start_text, texts, end_text)
# print(''.join(texts))

texts.appendleft(''.join(start_text))
texts.append(''.join(end_text))
# print(''.join(texts))

# print(texts)
if reverse:
    texts = deque("".join(texts))
    texts.reverse()
    print("".join(texts))
else:
    # texts = start_text + texts + end_text
    print(''.join(texts))
### BUGGY CODE ###

N = int(input())

ans = 0
i = 1
while i < N:
    j = 1
    while i*j < N:
        ans += 1
        j += 1
    i+= 1

print(ans)


### FIXED CODE ###

N = int(input())

ans = 0
i = 1
while i**2 < N:
    j = i
    while i*j < N:
        if i == j:
            ans += 1
        else:
            ans += 2
        j += 1
    i+= 1

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

def i1():
 return int(input())
def i2():
 return [int(i) for i in input().split()]
import bisect
import sys
import math
sys.setrecursionlimit(10**6)
mod=998244353
n=i1()
d=[]
N=1<<int(math.log2(n))
if int(math.log2(n))< math.log2(n):
   N<<=1
t=[-1 for i in range(2*N-1)]

def ud(i,x):
  i+=N-1
  t[i]=x
  while i:
    i=(i-1)//2
    t[i]=max(t[i*2+1],t[i*2+2])

def qr(a,b,k,l,r):
  if r<=a or b<=l:
     return -1
  elif a<=l and r<=b:
     return t[k]
  else:
     return max(qr(a,b,k*2+1,l,(l+r)//2),qr(a,b,k*2+2,(l+r)//2,r))

for i in range(n):
  d.append(i2())
d=sorted(d)
dx=[]
dd=[]
for i,j in d:
  dx.append(i)
  dd.append(j)
r=[]
for i in range(n):
 j=bisect.bisect_left(dx,dx[i]+dd[i])-1
 r.append(j)
 ud(i,j)

for i in range(n)[::-1]:
 tt=qr(i,r[i]+1,0,0,N)
 ud(i,tt)
dp=[0 for i in range(n+1)]
dp[-1]=1
for i in range(n)[::-1]:
  dp[i]+=dp[i+1]
  dp[i]%=mod
  dp[i]+=dp[t[i+N-1]+1]
  dp[i]%=mod
print(dp[0])

### FIXED CODE ###

def i1():
 return int(input())
def i2():
 return [int(i) for i in input().split()]
import bisect
mod=998244353
n=int(input())
d=[]
N=1<<(n.bit_length())
t=[-1 for i in range(2*N-1)]

def ud(i,x):
  i+=N-1
  t[i]=x
  while i:
    i=(i-1)>>1
    if t[i*2+1]>t[i*2+2]:t[i]=t[i*2+1]
    else:t[i]=t[i*2+2]
     

def qr(a,b):
    a+=N-1
    b+=N-1
    L = -1
    R = -1
    while a < b:
      if a&1==0:
         if L<t[a]:L = t[a]
      if b&1==0:
         b-=1
         if R<t[b]:R = t[b]
      
      a>>=1
      b>>=1
      
         
    return max(L, R)
 
for i in range(n):
  d.append([int(i) for i in input().split()])
d.sort()
dx=[]
dd=[]
for i,j in d:
  dx.append(i)
  dd.append(j)
for i in range(n)[::-1]:
 tx=dx[i]+dd[i]
 j=bisect.bisect_left(dx,tx)
 tt=qr(i,j)
 if j-1>tt:ud(i,j-1)
 else:ud(i,tt)
dp=[0 for i in range(n+1)]
dp[-1]=1
for i in range(n)[::-1]:
  dp[i]+=dp[i+1]
  dp[i]%=mod
  dp[i]+=dp[t[i+N-1]+1]
  dp[i]%=mod
print(dp[0])
### BUGGY CODE ###

n = int(input())
a = list(map(int, input().split()))
b = []
for i in a:
    b.append(str(i))
    b = b[::-1]
print(' '.join(b))

### FIXED CODE ###

n = int(input())
a = list(map(str, input().split()))
b = a[::-2] + a[len(a)%2::2]
print(' '.join(b))
### BUGGY CODE ###

def f(n, m):
    to1 = {}
    for _ in range(m):
        u, v = map(int, input().split())
        to1.setdefault(u, [])
        to1[u] += [v]
    s, t = map(int, input().split())

    vst1 = set()
    cnt = 0
    to = {}

    for i in range(1, n + 1):
        ss = set([i])
        for _ in range(3):
            nss = set()
            for ii in ss:
                if ii not in to1: continue
                for j in to1[ii]:
                    nss.add(j)
            ss = nss
        to[i] = list(ss)

#    print(to)

    ss = set([s])
    while 1:
        cnt += 1
#        print(ss)
        nss=set()
        for i in ss:
            if i not in to: continue
            for j in to[i]:
                nss.add(j)
        ss = nss
#        print(ss)
        if t in ss:
            print(cnt)
            exit()
        if ss <= vst1:
            print(-1)
            exit()
        vst1 |= ss

n, m = map(int, input().split())
f(n, m)


### FIXED CODE ###

def f(n, m):
    to = {}
    for _ in range(m):
        u, v = map(int, input().split())
        to.setdefault(u, [])
        to[u] += [v]
    s, t = map(int, input().split())
    vst = [[False] * 3 for _ in range(n + 1)]
    a = [s]
    vst[s][0] = True
    cnt = 0
    while a:
        b = []
        cnt += 1
        j = cnt % 3
        for ak in a:
            if ak not in to: continue
            for i in to[ak]:
                if vst[i][j]: continue
                vst[i][j] = True
                b.append(i)
            if vst[t][0]:
                print(cnt // 3)
                exit()
        a = b
    print(-1)

n, m = map(int, input().split())
f(n, m)
### BUGGY CODE ###

n=int(input())
a=list(map(int,input().split()))
c=0

for i in range(len(a)):
    print(a.count(i+1))
    c+=a.count(i+1)
    if c==n-1:
        break

for _ in range(n-i-1):
    print(0)


### FIXED CODE ###

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

for i in a:
    b[i-1]+=1

[print(i) for i in b]
### BUGGY CODE ###

a,b,c,d=map(int,input().split())
cnt=0
for i in range(a,b+1):
  if i%c!=0 and i%d!=0:
    cnt+=1
  else:
    cnt+=0
print(cnt)    

### FIXED CODE ###

a,b,c,d=map(int,input().split())
def gcd(x,y):
  if x%y==0:
    return y
  else:
    return gcd(y,x%y)
    
r=int((c*d)/gcd(c,d)) 
s=(b//c)-((a-1)//c)
t=(b//d)-((a-1)//d)
u=(b//r)-((a-1)//r)

print(int(b-a+1-s-t+u))
### BUGGY CODE ###

import math
N,D,A=map(int,input().split())
monster=[list(map(int,input().split())) for i in range(N)]
monster.sort(key=lambda x:x[0])
ans=0
for i in range(N):
    if(monster[i][1]==0):
        continue
    cnt=math.ceil(monster[i][1]/A)
    ans+=cnt
    for j in range(i+1,N):
        if monster[j][0]-monster[i][0]>2*D:
            break
        monster[j][1]=max(0,monster[j][1]-cnt*A)
print(ans)

### FIXED CODE ###

import bisect
import math
N,D,A=map(int,input().split())
tmp=[list(map(int,input().split())) for i in range(N)]
tmp.sort(key=lambda x:x[0])
monster=[];X=[]
for i in range(N):
    monster.append(tmp[i][1]);X.append(tmp[i][0])
minus=[0]*(N+1)
ans=0
damage=0
for i in range(N):
    damage-=minus[i]
    monster[i]=max(0,monster[i]-damage)
    if(monster[i]==0):
        continue
    cnt=math.ceil(monster[i]/A)
    monster[i]=0
    ans+=cnt
    b=bisect.bisect_left(X,X[i]+2*D+1)
    minus[b]+=cnt*A
    damage+=A*cnt
print(ans)
### BUGGY CODE ###

N, Q = map(int, input().split())
S = input()
l = [0] * Q
r = [0] * Q
for i in range(Q):
    l[i], r[i] = map(int, input().split())
for i in range(Q):
    print(S[l[i] - 1:r[i]].count('AC'))

### FIXED CODE ###

N, Q = map(int, input().split())
S = input()
t = [0] * N
for i in range(N - 1):
    t[i + 1] = t[i] + (1 if S[i : i + 2] == 'AC' else 0)
for i in range(Q):
    l, r = map(int, input().split())
    print(t[r - 1] - t[l - 1])
### BUGGY CODE ###

import math
s=0
n, m=map(int, input().split())
mm = int(m)
t = {}

while s==0:
    for i in range(2,int(math.sqrt(mm))):
#         print(i)
        if m%i==0:
            m=m//i
            if m==1:
                s=1
            if i in t.keys():
                t[i]+=1
            else:
                t[i]=1
            break
out=1
def combi(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r)) 

for tk in t.keys():
    out *= combi(t[tk]+n-1, n-1)
print(out%(1000000007))


### FIXED CODE ###

import math

n, m=map(int, input().split())
t = {}
a = int(math.sqrt(m))

s=0

line = [2, 3] + [i%2*2 + i//2 * 6 + 5 for i in range(a)]
# line = [2] + list(range(3, m+2, 2))

for i in line:
# for i in range(2, m+2, 2):
#     print(i)
    cnt = 0
    while m%i==0:
        m=m//i
        cnt += 1

    if cnt>0:
        t[i]=cnt

    if m==1:
        break

if m!=1:
    t[m]=1

def combi(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r)) 

out=1
for tk in t.keys():
    out *= combi(t[tk]+n-1, n-1)
#     out = out%(1000000007)
print(out%(1000000007))
### BUGGY CODE ###

n = int(input())
x = list(input())
zuru = [1,1,2,1,2,1,2,1,2,1]

for i in range(len(x)):
  y = x.copy()
  if x[i] == "0":
    y[i] = "1"
  else:
    y[i] = "0"
  n = int("".join(y), 2)
  count = 0
  while n != 0:
    one_num = bin(n)
    n = n % one_num.count("1")
    count += 1
    if 0 < n <=10:
      count += zuru[n-1]
      break
  print(count)

### FIXED CODE ###

N=int(input())
X=input()
Y=int(X,2)
Z=Y
C=X.count('1')
if C==1:
  for i in range(N):
    if X[i]=='1':
      print(0)
    elif i==N-1:
      print(2)
    else:
      print(1)
  exit()
Y,Z=Y%(C+1),Z%(C-1)

def f(x):
  if x==0:
    return 0
  return 1+f(x%bin(x).count('1'))

for i in range(N):
  if X[i]=='1':
    print(1+f((Z-pow(2,N-i-1,C-1))%(C-1)))
  else:
    print(1+f((Y+pow(2,N-i-1,C+1))%(C+1)))
### BUGGY CODE ###

N=int(input())
MOD=10**9+7
L=60
ls=[int(s) for s in input().split()]
bils=[]
for i in range(N):
  val_ls=[0 for j in range(L)]
  for j in range(L):
    if (2**j)&ls[i]>0:
      val_ls[j]=1
  bils.append(val_ls)
bisumls=[[0 for _ in range(L)] for _ in range(N)]
bisumls[N-1]=bils[N-1]
for i in range(2,N):
  for j in range(L):
    bisumls[-i][j]=bisumls[-i+1][j]+bils[-i][j]
#[[0, 0, 0], [3, 0, 2], [2, 0, 2], [2, 0, 1], [1, 0, 1]]
ans=0
ans_ls=[0 for _ in range(L)]
for i in range(N-1):
  #print(bils[i],bisumls[i+1])
  for k in range(L):
    if bils[i][k]==1:
      a=N-i-1-bisumls[i+1][k]
    else:
      a=bisumls[i+1][k]
   #   print(a)
    ans_ls[k]+=a
ans=0
base=1
for k in range(L):
  ans+=base*ans_ls[k]%MOD
  base=base*2%MOD
print(ans%MOD)
  

### FIXED CODE ###

N=int(input())
MOD=10**9+7
L=60
ls=[int(s) for s in input().split()]
bi_ls=[0 for _ in range(L)]
for i in range(N):
  for j in range(L):
    if (2**j)&ls[i]>0:
      bi_ls[j]+=1    
ans=0
base=1
for j in range(L):
  ans=(ans+bi_ls[j]*(N-bi_ls[j])*base)%MOD
  base*=2%MOD
print(ans)
### BUGGY CODE ###

N = int(input())
 
for n in range(1,N+1):
  ans = 0
  check = False
  for x in range(1,42):
    for y in range(x,60):
      for z in range(y,100):
        if (x**2 + y**2 + z**2 + x*y + y*z + z*x) == n:
          if x == y and y == x and z == x:
            ans += 1
          elif x == y  or z == x or y == z:
            ans += 3
          elif x != y and y != z and z != x:
            ans += 6
  print(ans)


### FIXED CODE ###

n = int(input())
ans = [0 for _ in range(10001)]

for i in range(1,101):
  for j in range(1,101):
    for k in range(1,101):
      v = i*i + j*j + k*k + i*j + j*k + k*i
      if v < 10001:
        ans[v] += 1

for i in range(n):
  print(ans[i+1])
### BUGGY CODE ###

K = int(input())
total = 0

def gdc(x,y):
  if x%y==0:
    return y
  return gdc(y, x%y)

for a in range(K):
  for b in range(K):
    for c in range(K):
      tmp = [a+1,b+1,c+1]
      tmp.sort()
      total += gdc(c+1, gdc(b+1, a+1))
print(total)

### FIXED CODE ###

K = int(input())
total = 0

def gdc(x,y):
  if x%y==0:
    return y
  return gdc(y, x%y)

for a in range(K):
  for b in range(a,K):
    for c in range(b,K):
      if a==b and b==c:
        total += gdc(c+1, gdc(b+1, a+1))
      elif a==b or b==c or a==c:
        total += 3*gdc(c+1, gdc(b+1, a+1))
      else:
        total += 6*gdc(c+1, gdc(b+1, a+1))
print(total)
### BUGGY CODE ###

def main():
    mod = 10**9+7
    inv_n = [0]*1001
    nCr = [[1]*(i+1) for i in range(1001)]
    for i in range(1001):
        inv_n[i] = pow(i, mod-2, mod)
    for i in range(2, 1001):
        for j in range(1, i):
            nCr[i][j] = (nCr[i-1][j-1]+nCr[i-1][j]) % mod
    n, a, b, c, d = map(int, input().split())
    f = [[[0]*(N//A-c+1) for A in range(a, b+1)] for N in range(1, n+1)]
    for N in range(1, n+1):
        for A in range(a, min(N//c, b)+1):
            temp = 1
            for C in range(1, c):
                temp = temp*nCr[N-(C-1)*A][A]*inv_n[C] % mod
            for C in range(c, min(d, N//A)+1):
                temp = temp*nCr[N-(C-1)*A][A]*inv_n[C] % mod
                f[N-1][A-a][C-c] = temp

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

    for A in range(b, a-1, -1):
        dp2 = [i for i in dp]
        for i in range(n-c*A+1):
            e = dp[i]
            if e:
                for C in range(c, min(d, (n-i)//A)+1):
                    dp2[i+C*A] = (dp2[i+C*A]+f[n-i-1][A-a][C-c]*e) % mod
        dp = dp2
    print(dp[-1])


main()

### FIXED CODE ###

def main():
    mod = 10**9+7
    inv_n = [0]*1001
    nCr = [[1]*(i+1) for i in range(1001)]
    for i in range(1001):
        inv_n[i] = pow(i, mod-2, mod)
    for i in range(2, 1001):
        for j in range(1, i):
            nCr[i][j] = (nCr[i-1][j-1]+nCr[i-1][j]) % mod
    n, a, b, c, d = map(int, input().split())
    dp = [0]*(n+1)
    dp[0] = 1

    for A in range(b, a-1, -1):
        dp2 = [i for i in dp]
        for N in range(n-c*A, -1, -1):
            e = dp[N]
            if e:
                temp = 1
                for C in range(1, c):
                    temp = temp*nCr[n-N-(C-1)*A][A]*inv_n[C] % mod
                for C in range(c, min(d, (n-N)//A)+1):
                    temp = temp*nCr[n-N-(C-1)*A][A]*inv_n[C] % mod
                    dp2[N+C*A] = (dp2[N+C*A]+temp*e) % mod
        dp = dp2
    print(dp[-1])


main()