Harryxun/stf_run huggingface dataset:
import math
import sys
n = int(input())

insu = {}

sq = math.ceil(math.sqrt(n))
for i in range(1, sq + 1):
    if n % i == 0:
        insu[i] = 1
        insu[n // i] = 1

dct = sorted(insu.items())

for i in range(len(dct) // 2 + 1):
    if len(dct) - i * 2 <= 1:
        ans1 = dct[i][0]
        ans2 = dct[len(dct) - i][0]
        for i in range(1, 10):
            if ans2 // 10 == 0:
                print(i)
                break
            ans2 //= 10
        sys.exit(0)

### FIXED CODE ###

import math
import sys
n = int(input())

if n == 1:
    print(1)
    sys.exit()

yakusu = []

sq = math.ceil(math.sqrt(n))
for i in range(1, sq + 1):
    if n % i == 0:
        yakusu.append(i)
        yakusu.append(n // i)

yakusu.sort()
for i in range(len(yakusu) // 2 + 1):
    if len(yakusu) - i * 2 <= 1:
        if len(yakusu) - i * 2 == 0:
            ans = yakusu[len(yakusu) - i]
        else:
            ans = yakusu[i]
        for j in range(1, 11):
            if ans // 10 == 0:
                print(j)
                break
            ans //= 10
        sys.exit(0)
from numba import njit

@njit('(i4,i4,i4[::1],i4[::1],i4[::1])', cache=True)
def calc(N, M, A, X, Y):
    ans = 0
    for a in A:
        aa = (a // N + 1) * M + a % N + 1
        ans += X[aa]
        h = X[aa]
        if h < 0: continue
        Q = [(aa, h)]
        q = 0
        X[aa] -= 1
        Y[aa] = 0
        dd = (-1, 1, M, -M)
        while q < len(Q):
            i, h = Q[q]
            q += 1
            for d in dd:
                j = i + d
                y = Y[j]
                if X[j] >= h + y:
                    X[j] -= 1
                    Q.append((j, h + y))
    return ans

N = int(input())
A = [int(a)-1 for a in input().split()]
M = N + 2
X = [max(min(i-1, j-1, M-2-i, M-2-j), -1) for j in range(M) for i in range(M)]
Y = [min(x, 0) + 1 for x in X]
print(calc(N, M, A, X, Y))

### FIXED CODE ###

from collections import deque
N = int(input())
A = [int(a)-1 for a in input().split()]
M = N + 2
X = [max(min(i-1, j-1, M-2-i, M-2-j), -1) for j in range(M) for i in range(M)]
Y = [min(x, 0) + 1 for x in X]

def calc(i0):
    h = X[i0]
    if h < 0: return
    Q = deque([(i0, h)])
    X[i0] -= 1
    Y[i0] = 0
    dd = (-1, 1, M, -M)
    while Q:
        i, h = deque.popleft(Q)
        for d in dd:
            j = i + d
            y = Y[j]
            if X[j] >= h + y:
                X[j] -= 1
                deque.append(Q, (j, h + y))
ans = 0
for a in A:
    aa = (a // N + 1) * M + a % N + 1
    ans += X[aa]
    calc(aa)
print(ans)
import sys
input = sys.stdin.readline

S = list(input())
S = [int(i) for i in S]

count_0 = 0
count_1 = 0

for i in range(len(S)):
	if (i % 2 == 1) ^ S[i]:
		count_0 += 1
	else:
		count_1 += 1
		
print(min(count_0, count_1))
		

### FIXED CODE ###

S = list(input())

count_0 = 0
count_1 = 0

for i in range(len(S)):
	if (i % 2 == 1) ^ (S[i] == '1'):
		count_0 += 1
	else:
		count_1 += 1
		
print(min(count_0, count_1))
import sys
from math import *
from collections import deque, Counter, defaultdict
from fractions import gcd

n,m = map(int, input().split())
SCs = [list(map(int, input().split())) for _ in range(m)]

for i in range(10^n):
  X=str(i)
  tf=True
  if len(X)==n:
    for j in SCs:
      if X[SCs[0]]!=SCs[1]:
        tf=False
    if tf:
      print(i)
      sys.exit()
print(-1)

### FIXED CODE ###

import sys
n,m = map(int, input().split())
SCs = [list(map(int, input().split())) for _ in range(m)]
for i in range(10**n):
  X=str(i)
  tf=True
  if len(X)==n:
    for j in SCs:
      if X[j[0]-1]!=str(j[1]):
        tf=False
        break
    if tf:#全ループ終わって条件を満たしていれば
      print(i)
      sys.exit()
print(-1)
import numpy as np
h,w=map(int,input().split())
m=np.empty((h,w),dtype="bool")
c=np.zeros((h,w),dtype="int16")
for i in range(h):
    s=input()
    for j in range(w):
        if s[j]==".":
            m[i][j]=True
        else:
            m[i][j]=False

for i in range(h):
    j=0
    start=-1
    while(j<w):
        if start==-1:
            if m[i][j]:
                start=j
                count=1
        else:
            if not m[i][j]:
                for k in range(start,j):
                    c[i][k]+=count
                start=-1
            else:
                count+=1
        j+=1
    if start!=-1:
        for k in range(start,w):
            c[i][k]+=count
for j in range(w):
    i=0
    start=-1
    while(i<h):
        if start==-1:
            if m[i][j]:
                start=i
                count=1
        else:
            if not m[i][j]:
                for k in range(start,i):
                    c[k][j]+=count
                start=-1
            else:
                count+=1
        i+=1
    if start!=-1:
        for k in range(start,h):
            c[k][j]+=count
result=0
for i in range(h):
    for j in range(w):
        result=max(result,c[i][j])
print(result-1)

### FIXED CODE ###

h,w=map(int,input().split())
m=[[None for j in range(w)] for i in range(h)]
c=[[-1 for j in range(w)] for i in range(h)]
for i in range(h):
    s=input()
    for j in range(w):
        if s[j]==".":
            m[i][j]=0
        else:
            m[i][j]=1

for i in range(h):
    j=0
    start=-1
    while(j<w):
        if start==-1:
            if m[i][j]==0:
                start=j
                count=1
        else:
            if m[i][j]==1:
                for k in range(start,j):
                    c[i][k]+=count
                start=-1
            else:
                count+=1
        j+=1
    if start!=-1:
        for k in range(start,w):
            c[i][k]+=count
for j in range(w):
    i=0
    start=-1
    while(i<h):
        if start==-1:
            if m[i][j]==0:
                start=i
                count=1
        else:
            if m[i][j]==1:
                for k in range(start,i):
                    c[k][j]+=count
                start=-1
            else:
                count+=1
        i+=1
    if start!=-1:
        for k in range(start,h):
            c[k][j]+=count
result=0
for i in range(h):
    for j in range(w):
        result=max(result,c[i][j])
print(result)
A,B=map(int,input().split())
if A==B:
    print("Draw")
elif or(A>B,A==1):
    print("Alice")
else:
    print("Bob")

### FIXED CODE ###

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

for A in range(2):
    if As[A]==1:
        As[A]+=13
        
if As[0]==As[1]:
    print("Draw")
elif As[0]>As[1]:
    print("Alice")
else:
    print("Bob")
n,m=map(int,input())
step=list(range(1,n))
for i in range(m):
    step.remove(int(input()))
dp=[0]*n
dp[0]=1
if step[1]=2:
    dp[1]=1
    step.remove(2)
else:
    step.remove(3)
step.remove(1)
for i in step:
    dp[i]=(dp[i-1]+dp[i-2])%1000000007
print(dp[n])

### FIXED CODE ###

N, M = list(map(int, input().split()))
A = {i: 0 for i in range(N+1)}
mod = 10 ** 9 + 7
for _ in range(M):
    A[int(input())] = 1
 
dp = [0 for _ in range(N+1)]
dp[0] = 1
 
for i in range(N+1):
    if A.get(i+1) == 0:
        dp[i + 1] += dp[i]
    if A.get(i+2) == 0:
        dp[i + 2] += dp[i]
 
print(dp[N]%mod)
from collections import Counter 
n, a, b = map(int, input().split())
red = "r"*b
blue = "b"*a
k=""
while len(k) <= n:
    k += blue+red 
count = Counter(k[:n]) 
print(count['b'])

### FIXED CODE ###

n, a, b = map(int, input().split())
period = a+b
times = n//period
k = n%period
n =  a if k >a else k
print(times*a + n)
MOD = 10**9 + 7
def sinput(): return sys.stdin.readline().strip()
def iinput(): return int(sinput())
def imap(): return map(int, sinput().split())
def fmap(): return map(float, sinput().split())
def iarr(n=0):
    if n: return [0 for _ in range(n)]
    else: return list(imap())
def farr(): return list(fmap())
def sarr(n=0):
    if n: return ["" for _ in range(n)]
    else: return sinput().split()
def barr(n): return [False for _ in range(n)]
def adj(n): return [[] for _ in range(n)]

def inv(a): return pow(a, MOD-2, MOD) #逆元
def comb(n,r):
    ans = 1
    for i in range(r): ans *= n-i; ans *= inv(r-i); ans %= MOD
    return ans
    
n,k = imap()
for i in range(1,k+1):
    ans = comb(n-k+1, i) * comb(k-1, i-1)
    print(ans %MOD)


### FIXED CODE ###

import sys
MOD = 10**9 + 7
def sinput(): return sys.stdin.readline().strip()
def iinput(): return int(sinput())
def imap(): return map(int, sinput().split())
def fmap(): return map(float, sinput().split())
def iarr(n=0):
    if n: return [0 for _ in range(n)]
    else: return list(imap())
def farr(): return list(fmap())
def sarr(n=0):
    if n: return ["" for _ in range(n)]
    else: return sinput().split()
def barr(n): return [False for _ in range(n)]
def adj(n): return [[] for _ in range(n)]

def inv(a): return pow(a, MOD-2, MOD) #逆元
def comb(n,r):
    ans = 1
    for i in range(r): ans *= n-i; ans *= inv(r-i); ans %= MOD
    return ans

    
n,k = imap()
ans = n-k+1
print(ans)
for i in range(2,k+1):
    ans *= (n-k-i+2) * (k-i+1) * inv(i) * inv(i-1)
    print(ans %MOD)
n,q=map(int,input().split())
d = {}
ans = [0]*(n+1)
for i in range(n-1):
    sta,gol = map(int,input().split())
    d[gol] = sta

for i in range(q):
    sta,val = map(int,input().split())
    ans[sta]+=val
    

for i in range(n):
    gol = i+1
    if gol in d:
        ans[gol]+=ans[d[gol]]
    

anss = ""
for i in range(n):
    anss = anss+str(ans[i+1])+" "
print(anss)

### FIXED CODE ###

a=int(input())
s = str(input())

if a >= 3200:
    print(s)
else:
    print("red")
A = []
A11,A12,A13 = map(int, input().split())
A21,A22,A23 = map(int, input().split())
A31,A32,A33 = map(int, input().split())
N = int(input())
B = []
for i in range(N):
  B.append(int(input()))
  
A = [[A11,A12,A13],
     [A21,A22,A23],
     [A31,A32,A33]]

sets = []

for i in range(3):
  s = []
  for j in range(3):
  	s.append(A[i][j])
  sets.append(s)
  
for j in range(3):
  s = []
  for i in range(3):
  	s.append(A[i][j])
  sets.append(s)
  
sets.append([A11,A22,A33])
sets.append([A13,A22,A31])

for s in sets:
  count = 0
  for b in B:
    if b in s : 
      count+=1
  if count == 3:
    print("Yes")
    break
else:
  print("No")

### FIXED CODE ###

N = int(input())
print(N // 2 + N % 2)
print( x ** 3)

### FIXED CODE ###

x = int( input())
print( x ** 3)
k=int(input())
s=input()

mod=10**9+7

def cmb(n, r, p):
    if (r < 0) or (n < r):
        return 0
    r = min(r, n - r)
    return fact[n] * factinv[r] * factinv[n-r] % p
p = mod #割る数
N = 10 ** 6  # N は必要分だけ用意する
fact = [1, 1]  # fact[n] = (n! mod p)
factinv = [1, 1]  # factinv[n] = ((n!)^(-1) mod p)
inv = [0, 1]  # factinv 計算用
for i in range(2, N + 1):
    fact.append((fact[-1] * i) % p)
    inv.append((-inv[p % i] * (p // i)) % p)
    factinv.append((factinv[-1] * inv[-1]) % p)

ans=0

for i in range(k+1):
    ans = (ans+cmb(len(s)-1+k-i, k-i,mod)*pow(26,i,mod)*pow(25,k-i,mod)) % mod

    #print(end,len(s)+k-end,ans,cmb(end,len(s),mod),pow(25,end-len(s),mod),pow(26,len(s)+k-end,mod))

print(ans%mod)





### FIXED CODE ###

k=int(input())
s=input()

mod=10**9+7

import sys
sys.setrecursionlimit(10**9)

def cmb(n, r, p):
    if (r < 0) or (n < r):
        return 0
    r = min(r, n - r)
    return fact[n] * factinv[r] * factinv[n-r] % p
p = mod #割る数
N = 2*(10 ** 6)  # N は必要分だけ用意する
fact = [1, 1]  # fact[n] = (n! mod p)
factinv = [1, 1]  # factinv[n] = ((n!)^(-1) mod p)
inv = [0, 1]  # factinv 計算用
for i in range(2, N + 1):
    fact.append((fact[-1] * i) % p)
    inv.append((-inv[p % i] * (p // i)) % p)
    factinv.append((factinv[-1] * inv[-1]) % p)

ans=0

for i in range(k+1):
    ans = (ans+cmb(i+len(s)-1,i,mod)*pow(26,k-i,mod)*pow(25,i,mod)) % mod

    #print(end,len(s)+k-end,ans,cmb(end,len(s),mod),pow(25,end-len(s),mod),pow(26,len(s)+k-end,mod))

print(ans%mod)
N=int(input())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))
s=0
for i in range(N):
  s+=B[A[i]-1]
  if i>=1 and A[i]==A[i-1}+1:
    s+=C[i]
print(s)

### FIXED CODE ###

N=int(input())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))
s=0
temp=""
for i in A:
  s+=B[i-1]
  if temp==i-1:
    s+=C[temp-1]
  temp=i
print(s)
n = int(input())
d = sorted(list(map(int,input().split())))
print(d)
print(d[0])
print(d[n//2 + 2])
print(d[n//2 + 1])
if d[n//2 + 1] == d[n//2 +2]:
    print("0")
else:
    print(d[n//2] - d[n//2 -1])

### FIXED CODE ###

n = int(input())
d = sorted(list(map(int,input().split())))
if d[n//2 ] == d[n//2 -1]:
    print("0")
else:
    print(d[n//2] - d[n//2 -1])
n = int(input())
xy = [list(map(int,input().split())) for i in range(n)]
cheby = []
for i in range(n):
    l = [xy[i][0]-xy[i][1],xy[i][0]+xy[i][1]]
    cheby.append(l)

xmax = 0
xmin = 10**10
ymax = 0
ymin = 10**10
for i in range(n):
    if cheby[i][0] > xmax :
        xmax = cheby[i][0]
        xa = i
    if cheby[i][0] < xmin :
        xmin = cheby[i][0]
        xi = i
    if cheby[i][1] > ymax :
        ymax = cheby[i][1]
        ya = i
    if cheby[i][1] < ymin :
        ymin = cheby[i][1]
        yi = i

if abs(xmax-xmin) >= abs(ymax-ymin):
    print(abs(xy[xa][0]-xy[xi][0])+abs(xy[xa][1]-xy[xi][1]))
else :
    print(abs(xy[ya][0]-xy[yi][0])+abs(xy[ya][1]-xy[yi][1]))


### FIXED CODE ###

n = int(input())
xy = [list(map(int,input().split())) for i in range(n)]
cheby = []
for i in range(n):
    l = [xy[i][0]-xy[i][1],xy[i][0]+xy[i][1]]
    cheby.append(l)

xmax = -10**10
xmin = 10**10
ymax = -10**10
ymin = 10**10
for i in range(n):
    if cheby[i][0] > xmax :
        xmax = cheby[i][0]
        xa = i
    if cheby[i][0] < xmin :
        xmin = cheby[i][0]
        xi = i
    if cheby[i][1] > ymax :
        ymax = cheby[i][1]
        ya = i
    if cheby[i][1] < ymin :
        ymin = cheby[i][1]
        yi = i

if abs(xmax-xmin) > abs(ymax-ymin):
    print(abs(xy[xa][0]-xy[xi][0])+abs(xy[xa][1]-xy[xi][1]))
else :
    print(abs(xy[ya][0]-xy[yi][0])+abs(xy[ya][1]-xy[yi][1]))
N,M = list(map(int,input().split()))
xarray = list(map(int,input().split()))
diff = []
for i in range(len(xarray)-1):
    diff.append(abs(xarray[i+1]-xarray[i]))
diff2 = sorted(diff, reverse = True)
if len(diff2) == 0:
    print(0)
else:
    for j in range(N):
        diff2[j] = 0
    print(sum(diff2))

### FIXED CODE ###

N,M = list(map(int,input().split()))
xarray = sorted(list(map(int,input().split())))
 
diff = []
if len(xarray) == 1:
    print(0)
elif N >= M:
    print(0)
else:
    for i in range(len(xarray)-1):
        diff.append(abs(xarray[i+1]-xarray[i]))
 
    if len(diff) == 0:
        print(0)
    else:
        diff2 = sorted(diff, reverse = True)
        
 
        if N == 1:
            
            print(sum(diff2))
        else:
            for j in range(N-1):
                diff2[j] = 0
            
            print(sum(diff2))
n,a,b = map(int,input().split())
vs = sorted([int(v) for v in input().split()],reverse=True)
print(sum(vs[:a])/a)
binom = [1]
for k in range(vs.count(vs[a-1])):
    binom = [x+y for (x, y) in zip(binom+[0],[0]+binom)]
if vs[a-1] == vs[0]:
    print(sum(binom[a:b+1]))
else:
    print(binom[vs.index(vs[a-1])])

### FIXED CODE ###

n,a,b = map(int,input().split())
vs = sorted([int(v) for v in input().split()],reverse=True)
print(sum(vs[:a])/a)
binom = [1]
for k in range(vs.count(vs[a-1])):
    binom = [x+y for (x, y) in zip(binom+[0],[0]+binom)]
if vs[a-1] == vs[0]:
    print(sum(binom[a:b+1]))
else:
    print(binom[a-vs.index(vs[a-1])])
N, K = map(int, input().split()[:2])
arr = list(map(int, input().split()[:N]))


def pos(X):
    sum = 0
    for i in arr:
        sum += int(i/X)
        if i % X == 0:
            sum -= 1
    return sum <= K


low = 0
high = 10 ** 9
mid = 0
ans = 10**9

while low <= high:
    mid = int((low+high)/2)
    # print(low, mid, high)
    if(pos(mid)):
        ans = mid
        high = mid-1
    else:
        low = mid+1
    # print(pos(mid))
print(ans)


### FIXED CODE ###

N, K = map(int, input().split()[:2])
arr = list(map(int, input().split()[:N]))


def pos(X):
    sum = 0
    for i in arr:
        sum += int(i/X)
        if i % X == 0:
            sum -= 1
    return sum <= K


low = 1
high = 10 ** 9
mid = 0
ans = 10**9

while low <= high:
    mid = int((low+high)/2)
    # print(low, mid, high)
    if pos(mid):
        ans = mid
        high = mid-1
    else:
        low = mid+1
    # print(pos(mid))
print(ans)
import math
a,b,H,m = map(int,input().split())

import math

if m <= 15:
    by = b * math.sin(math.radians(90-(6*m)))
    bx = b * math.cos(math.radians(90-(6*m)))
elif m > 15 and m <= 30:
    by = b * math.sin(math.radians(6*(m-15)))
    bx = b * -(math.cos(math.radians(6*(m-15))))
elif m > 30 and m <= 45:
    by = b * -(math.sin(math.radians(90-((6*m)-180))))
    bx = b * -(math.cos(math.radians(90-((6*m)-180))))
else:
    by = b * -(math.sin(math.radians((6*m)-270)))
    bx = b * math.cos(math.radians((6*m)-270))
    
if 60*H+m <= 180:
    ay = a * math.sin(math.radians(90-(1/2*(60*H+m))))
    ax = a * math.cos(math.radians(90-(1/2*(60*H+m))))
elif 60*H+m > 180 and 60*H+m <= 360:
    ay = a * -(math.sin(math.radians((1/2*(60*H+m))-90)))
    ax = a * math.cos(math.radians((1/2*(60*H+m))-90))
elif 60*H+m > 360 and 60*H+M <= 540:
    ay = a * -(math.sin(math.radians(90-((1/2*(60*H+m)-180)))))
    ax = a * -(math.cos(math.radians(90-((1/2*(60*H+m)-180)))))
else:
    ay = a * math.sin(math.radians((1/2*(60*H+m)-270)))
    ax = a * -(math.cos(math.radians((1/2*(60*H+m)-270))))
    
ans = math.sqrt((ax-bx)**2 + (ay-by)**2)
print(ans)

### FIXED CODE ###

import math
a,b,h,m = map(int,input().split())

k = 60*h + m

import math

if m <= 15:
    by = b * math.sin(math.radians(90-(6*m)))
    bx = b * math.cos(math.radians(90-(6*m)))
elif m > 15 and m <= 30:
    by = b * -(math.sin(math.radians(6*(m-15))))
    bx = b * math.cos(math.radians(6*(m-15)))
elif m > 30 and m <= 45:
    by = b * -(math.sin(math.radians(90-((6*m)-180))))
    bx = b * -(math.cos(math.radians(90-((6*m)-180))))
else:
    by = b * math.sin(math.radians((6*m)-270))
    bx = b * -(math.cos(math.radians((6*m)-270)))
    
if k <= 180:
    ay = a * math.sin(math.radians(90-((1/2)*k)))
    ax = a * math.cos(math.radians(90-((1/2)*k)))
elif k > 180 and k <= 360:
    ay = a * -(math.sin(math.radians(((1/2)*k)-90)))
    ax = a * math.cos(math.radians(((1/2)*k)-90))
elif k > 360 and k <= 540:
    ay = a * -(math.sin(math.radians(90-(((1/2)*k)-180))))
    ax = a * -(math.cos(math.radians(90-(((1/2)*k)-180))))
else:
    ay = a * math.sin(math.radians(((1/2)*k)-270))
    ax = a * -(math.cos(math.radians(((1/2)*k)-270)))

ans = math.sqrt((ax-bx)**2 + (ay-by)**2)
print('{:.11f}'.format(ans))
from bisect import bisect_left
N, M = map(int, input().split())
A = list(map(int, input().split()))
BC = [list(map(int,input().split())) for _ in range(M)]
BC = sorted(BC,key= lambda x: x[1],reverse=True)
A.sort()
su = sum(A)
for i in range(M):
    if BC[i][1]<A[0]:
        break
    B= BC[i][0]
    C = BC[i][1]
    b = bisect_left(A,C)
    if B>=b:
        su = su-sum(A[:b]) +C*b
        del A[:b]
    else:
        su = su-sum(A[:B]) +C*B
        del A[:B]
print(su)

### FIXED CODE ###

N, M = map(int, input().split())
A = list(map(int, input().split()))
BC = [list(map(int,input().split())) for _ in range(M)]
BC = sorted(BC,key= lambda x: x[1],reverse=True)
A.sort()
n = 0
i = 0
m = 0
while A[i]<BC[n][1]:
    A[i] = BC[n][1]
    m = m+1
    if m >=BC[n][0]:
        m = 0
        n = n+1
    i += 1
    if n==M:
      break
    if i == N:
      break
print(sum(A))
# -*- coding: utf-8 -*-

N,X = list(map(int, input().rstrip().split()))
L_list = list(map(int, input().rstrip().split()))
#-----

i=2
D=0
while D <= X:
    D = D + L_list[i-2]
    ans = i-1
    i += 1

print(ans)


### FIXED CODE ###

# -*- coding: utf-8 -*-

N,X = list(map(int, input().rstrip().split()))
L_list = list(map(int, input().rstrip().split()))
#-----

D=0
ans = len(L_list) + 1

cnt=1
for i in range(N):
    D = D + L_list[i]
    
    if D <= X:
        cnt += 1

print(cnt)
N = int(input())

e = [ [] for i in range(N)]
for i in range(N-1):
    a,b = map(int,input().split())
    a-=1
    b-=1
    e[a].append(b)
    e[b].append(a)

col = [ -1 for i in range(N)]
col[0] = 0
def dfs(n,c):

    for v in e[n]:
        if col[v] == -1:
            col[v] = c + 1
            dfs(v,c+1)

dfs(0,0)

colf = [ -1 for i in range(N)]
colf[0] = 0
def dfsf(n,c):

    for v in e[n]:
        if v == N - 1:
            colf[v] = c + 1
            continue
        elif colf[v] == -1:
            colf[v] = c + 1
            dfsf(v,c+1)
dfsf(0,0)

cols = [ -1 for i in range(N)]
cols[N-1] = 0
def dfss(n,c):

    for v in e[n]:
        if v == 0:
            cols[v] = c + 1
            continue
        elif cols[v] == -1:
            cols[v] = c + 1
            dfss(v,c+1)
dfss(N-1,0)

#print(col)
#print(colf)
#print(cols)

for i in range(N):
    if colf[i] ==-1:
        colf[i] = 0
    if cols[i] == -1:
        cols[i] = 0

fenec,snuke = 0,0
fenec = sum(colf) - col[N-1]
snuke = sum(cols) - col[0]
if fenec > snuke:
    print("Fennec")
else:
    print("Snuke")


### FIXED CODE ###

import sys

p = []
path = [ 0 for i in range(10**5+1)]
def main():

    sys.setrecursionlimit(1000000)

    N = int(input())

    e = [ [] for i in range(N)]
    for i in range(N-1):
        a,b = map(int,input().split())
        a-=1
        b-=1
        e[a].append(b)
        e[b].append(a)

    col = [ -1 for i in range(N)]
    col[0] = 0
    
    #def dfs(n,c,path):
    def dfs(n,c):
        global p
        #path =  path  + [n]
        #path.append(n)
        #print(path)
        if n == N - 1:
            p = path
        path[c] = n
        for v in e[n]:
            if col[v] == -1:
                col[v] = c + 1
                dfs(v,c+1)
                #dfs(v,c+1,path)
                if p:
                    return
    dfs(0,0)
    #print(p[:N+10])
    #dfs(0,0,[])

    t = col[N-1] + 1
    if t % 2 ==0:
        sn = p[t//2]
    else:
        sn = p[t//2+1]


    colfn = [ -1 for i in range(N)]
    colfn[0] = 0
    def dfs2(n,c):

        for v in e[n]:
            if v == sn:
                continue
            elif colfn[v] == -1:
                colfn[v] = c + 1
                dfs2(v,c+1)

    dfs2(0,0)

    fennec = -1
    for i in range(N):
        if colfn[i] != -1:
            fennec += 1

    snuke = N - fennec - 2
    if fennec > snuke:
        print("Fennec")
    else:
        print("Snuke")



if __name__ == '__main__':
    main()
D,T,S = int(input().split())

if T*S >= D:
    print("Yes")
else:
    print("No")

### FIXED CODE ###

D,T,S = [int(x) for x in input().split()]

if T*S >= D:
    print("Yes")
else:
    print("No")
n = int(input())
p = list(map(int,input().split()))
m=0

for i in range(2,n):
  if (p[i-1]<p[i]<p[i+1]) or (p[i-1]>p[i]>p[i+1]):
    m +=1
else:
    m +=0

    
print(m)



### FIXED CODE ###

n = int(input())
p = list(map(int,input().split()))
m=0

for i in range(1,n-1):
  if (p[i-1]<p[i]<p[i+1]) or (p[i-1]>p[i]>p[i+1]):
    m +=1
  else:
    m +=0

    
print(m)
n=int(input())
a=list(map(int, input().split()))
for i in a:
  if i%2==0 and i%3!=0 and i%5!=0:
    print('DENIED')
  	exit()
  else:
    print('APPROVED')

### FIXED CODE ###

_ = input()
a = list(map(int, input().split()))
 
for i in a:
	if i % 2 == 0 and i % 3 != 0 and i % 5 != 0:
		print('DENIED')
		break
else:
	print('APPROVED')