Harryxun/stf_run huggingface dataset:
import sys
import heapq
input = sys.stdin.readline

class UnionFind():
    def __init__(self, n):
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

n = int(input())
uf = UnionFind(n)
d = {}

for i in range(n):
    x, y = map(int, input().split())
    d[x] = (i, y)
    
q = []
heapq.heapify(q)

for x in range(n):
    i, y = d[x+1]
    if q:
        while q[0][0] < y:
            y2, i2 = heapq.heappop(q)
            uf.union(i,i2)
    heapq.heappush(q, (y,i))

for i in range(n):
    p = uf.find(i)
    print(-uf.parents[p])


### FIXED CODE ###

import sys
import heapq
input = sys.stdin.readline

class UnionFind():
    def __init__(self, n):
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

n = int(input())
uf = UnionFind(n)
d = {}

for i in range(n):
    x, y = map(int, input().split())
    d[x] = (i, y)
    
q = []
heapq.heapify(q)

for x in range(n):
    i, y = d[x+1]
    ym, im = 0, 0
    while q and q[0][0] < y:
        y2, i2 = heapq.heappop(q)
        if ym == 0:
            ym = y2
            im = i2
        uf.union(i,i2)
    heapq.heappush(q, (y,i))
    if ym:
        heapq.heappush(q, (ym,im))

for i in range(n):
    p = uf.find(i)
    print(-uf.parents[p])
a=[0]*5
for i in range(5):
  a[i]=int(input())
b=int(input())
if a[5]-a[0]>a[6]:
  print(':(')
else:
  print('Yay!')
  


### FIXED CODE ###

a=[0]*5
for i in range(5):
  a[i]=int(input())
b=int(input())
if a[4]-a[0]>b:
  print(':(')
else:
  print('Yay!')
n = int(input())
s = input()
x=0
ans=0
for i in range(n):
    if s[i]=="I":
        x += 1
    else:
        x -= 1
    ans = max(ans,x)
print(ans)

### FIXED CODE ###

a, b, c, d = map(int, input().split())
if a*b==c*d:
    print(a*b)
else:
    print(max(a*b, c*d))
rot = int(input())
s = input()
g = (chr((ord(c) - ord('A') + rot) % 26 + ord('A')) for c in s)
print(g)

### FIXED CODE ###

s = input()
if s=="SUN":
  print(7)
elif s=="MON":
  print(6)
elif s=="TUE":
  print(5)
elif s=="WED":
  print(4)
elif s=="THU":
  print(3)
elif s=="FRI":
  print(2)
elif s=="SAT":
  print(1)
a,b,c=input().split()
if b=="+":
  print(int(a)+int(c))
else b=="-":
  print(int(a)-int(c))


### FIXED CODE ###

a,b,c=input().split()
if b=="+":
  print(int(a)+int(c))
else:
  print(int(a)-int(c))
def main():
    inf = float('inf')
    n,k=map(int,input().split())
    h = list(map(int,input().split()))
    dp=[0] + [inf] *(n-1)#初期化
    for i in range(1,n):
        for j in range(1,k+1):#iからj離れた場所から来る場合と比較
            if i >=j:
                dp[i] = min(dp[i],abs(h[i-j]-h[i])+dp[i-j])
            else:break
    print(dp[n-1])
if __name__ == '__main__':
    main()

### FIXED CODE ###

n=int(input())
h=list(map(int,input().split()))
s1, s2 = abs(h[1]-h[0]), 0
if n==2:
    print(s1)
else:
    score = [0] + [s1] + [0] * (n - 2)
    for i in range(2,n):
        s1= abs(h[i-1]-h[i])+score[i-1]
        s2= abs(h[i-2]-h[i])+score[i-2]
        score[i] = min(s1,s2)
    print(score[n-1])
n, k = list(map(int, input().split()))

proba = 0
for i in range(1, N+1):
  x = i
  p = 1
  while x < K:
    p *= 0.5
    x *= 2
  proba += p/N
print(proba)


### FIXED CODE ###

N, K = list(map(int, input().split()))
 
ans = 0
for i in range(1, N+1):
    p = 1
    x = i
    while x < K:
        p *= 0.5
        x *= 2
    
    ans += p/N
 
print(ans)
a, b, c = map(int, input().split())
k = int(input())
s = a+b+c
for i in range(k):
    aa += a
    bb += b
    cc += c

print(max(aa,bb,cc))


### FIXED CODE ###

a, b, c = map(int, input().split())
k = int(input())
s = a+b+c

for i in range(k):
    s += max(a,b,c)
    if max(a,b,c) == a:
        a*=2
    elif max(a,b,c) == b:
        b*=2
    else:
        c*=2        
print(s)
def back_oturigation(fee, coin_values, coin_nums):
    """
    1. ????????????????????????????????£??????????????????
    2. 1????????????????????????????????????????????????????????????
       ???????????§?????????????????????-> ?°????????????????????¶???????????????????
    3. 2????????????????????°?????????????????????????????????????????????
    """
    # 1.
    oturi = coin_values[0] * coin_nums[0] \
            + coin_values[1] * coin_nums[1] \
            + coin_values[2] * coin_nums[2] \
            + coin_values[3] * coin_nums[3] \
            - fee
    use_coins = [0] * len(coin_value)
    no_use_coins = [0] * len(coin_value)

    # 2.
    for i in range(len(coin_value) - 1, -1, -1):
        no_use_coins[i] = int(oturi / coin_value[i])
        oturi = oturi - (coin_value[i] * no_use_coins[i])

    # 3.
    for i in range(0, len(use_coins), 1):
        use_coins[i] = coin_nums[i] - no_use_coins[i]
        if use_coins[i] > 0:
            print(str(coin_value[i]) + ' ' + str(use_coins[i]))

if __name__ == "__main__":
    total_fee = int(input('total_fee:'))

    while (total_fee != 0):
        coins = input('total_coins:')
        coins = coins.split(' ')  # 10, 50, 100, 500????????§????????????
        coins = [int(coin) for coin in coins]
        coin_value = [10, 50, 100, 500]
        back_oturigation(total_fee, coin_value, coins)

### FIXED CODE ###

import math
def back_oturigation(fee, coin_values, coin_nums):
    """
    1. ?????????????????????????????????£??????????????????
    2. 1????????????????????????????????????????????????????????????
       ????????????§?????????????????????-> ??°?????????????????????¶???????????????????
    3. 2?????????????????????°?????????????????????????????????????????????
    """
    # 1.
    oturi = coin_values[0] * coin_nums[0] \
            + coin_values[1] * coin_nums[1] \
            + coin_values[2] * coin_nums[2] \
            + coin_values[3] * coin_nums[3] \
            - fee

    use_coins = [0] * len(coin_values)
    no_use_coins = [0] * len(coin_values)
 
    # 2.
    for i in range(len(coin_values) - 1, -1, -1):
        no_use_coins[i] = int(oturi / coin_values[i])
        oturi = oturi - (coin_values[i] * no_use_coins[i])
 
    # 3.
    for i in range(0, len(use_coins), 1):
        use_coins[i] = coin_nums[i] - no_use_coins[i]
        if use_coins[i] > 0:
            print(str(coin_values[i]) + ' ' + str(use_coins[i]))
 
if __name__ == "__main__":
    first = True
    while (True):
        total_fee = int(input(''))
        if total_fee == 0:
            break
        if first:
            first = False
        else:
            print('')
        coins = input('')
        coins = coins.split(' ')  # 10, 50, 100, 500?????????§????????????
        coins = [int(coin) for coin in coins]
        coin_values = [10, 50, 100, 500]
        back_oturigation(total_fee, coin_values, coins)
alp = ["a","b","c","d","e","f","g","h","i","j"]
N = int(input())
ans_list = []
for i in range(N):
    ans_list.append([])
for i in range(N):
    if i == 0:
        ans_list[i].append(["a",1])
    else:
        for j in range(len(ans_list[i-1])):
            for l in range(ans_list[i-1][j][1]+1):
                temp = ans_list[i-1][j][0] + alp[l]
                if l == ans_list[i-1][j][1]:
                    chk = ans_list[i-1][j][1]+1
                else:
                    chk = ans_list[i-1][j][1]
                ans_list[i].append([temp,chk])
for i in range(len(ans_list[N-1])):
    print(ans_list[N-1][i][0])

### FIXED CODE ###

N = int(input())
n_list = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
print(n_list[N-1])
import math

N,M = map(int,input().split(' '))
An = [ int(input()) for _ in range(M)]


factorial_list = [1] * ((N+1)//2)
for i in range(1,((N+1)//2)):
    factorial_list[i] = factorial_list[i-1] * i

def combinations_count(n, r):
    return factorial_list[n] // (factorial_list[n - r] * factorial_list[r])


'''
def nCk(n, k):
    ret = 1
    mo = 10**9 + 7
    for i in range(k):
        ret = ret * (n - i) * pow(i + 1, mo - 2, mo) % mo
    return ret
'''

def one_two_comb(N):
    two_n = N//2
    comb_list = []
    for i in range(1,two_n+1):
        comb_list.append([N-i,i])
    return comb_list

def sum_comb(comb_list):
    comb_sum = 0
    for val in comb_list:
        comb_sum += combinations_count(val[0],val[1])
    return comb_sum
    

diff_list = []
current_num = 0
max_diff = -1
for a in An:
    diff = a - current_num
    if diff == 0:
        print(0)
        exit(0)
    diff_list.append(diff)
    current_num = a +1
diff = N+1 - current_num
diff_list.append(diff)
#print(diff_list)


all_sum = 1
for idx,diff in enumerate(diff_list):
    if idx == 0 or len(diff_list):
        diff -= 1
    '''
    else:
        diff -= 2
    '''

    if diff == 0:
        all_sum *= 1
    else:
        internal_comb_list = one_two_comb(diff)
        comb_count = sum_comb(internal_comb_list) + 1
        if all_sum > 10**9+7:
            all_sum = all_sum%(10**9+7)
        all_sum *= comb_count
print(all_sum%(10**9+7))



### FIXED CODE ###

import math

N,M = map(int,input().split(' '))
An = [ int(input()) for _ in range(M)]

'''
factorial_list = [1] * (N+1)
for i in range(1,N+1):
    factorial_list[i] = factorial_list[i-1] * i

def combinations_count(n, r):
    return factorial_list[n] // (factorial_list[n - r] * factorial_list[r])
'''

feruma_list = [1] * (N+1)
for i in range(2,N+1):
    feruma_list[i] = feruma_list[i-2] + feruma_list[i-1]


def nCk(n, k):
    ret = 1
    mo = 10**9 + 7
    for i in range(k):
        ret = ret * (n - i) * pow(i + 1, mo - 2, mo) % mo
    return ret

def one_two_comb(N):
    two_n = N//2
    comb_list = []
    for i in range(1,two_n+1):
        comb_list.append([N-i,i])
    return comb_list

def sum_comb(comb_list):
    comb_sum = 0
    for val in comb_list:
        comb_sum += nCk(val[0],val[1])
    return comb_sum
    

diff_list = []
current_num = 0
max_diff = -1
for a in An:
    diff = a - current_num
    if diff == 0:
        print(0)
        exit(0)
    diff_list.append(diff)
    current_num = a +1
diff = N+1 - current_num
diff_list.append(diff)
#print(diff_list)


all_sum = 1
for idx,diff in enumerate(diff_list):
    
    if idx == 0 or len(diff_list):
        diff -= 1
    '''
    if diff == 0:
        all_sum *= 1
    else:
        internal_comb_list = one_two_comb(diff)
        comb_count = sum_comb(internal_comb_list) + 1
        if all_sum > 10**9+7:
            all_sum = all_sum%(10**9+7)
        all_sum *= comb_count
    '''

    comb_count = feruma_list[diff]
    if all_sum > 10**9+7:
        all_sum = all_sum%(10**9+7)
    all_sum *= comb_count

print(all_sum%(10**9+7))
n = int(input())
l = []
for i in range(n):
    l.append(int(input()))

zero = l[0]
count = 1
th = [zero]

def r(index,throw):
    global l
    now = l[index-1]
    # print(now,throw)
    if (now in throw) or (2 not in l):
        print(-1)
        return

    if now != 2:
        throw.append(now)
        r(now,throw)
    else:
        print(len(throw)+2)
        return

r(zero,th)


### FIXED CODE ###

n = int(input())
l = []
for i in range(n):
    l.append(int(input()))

zero = l[0]
count = 1

for i in range(n):
    #print("c:",count)
    if zero != 2:
        count += 1
        zero = l[zero-1]
    else:
        print(count)
        exit()
else:
    print(-1)
from sys import stdin

N = int(stdin.readline().rstrip())
A =  stdin.readline().rstrip()
B =  stdin.readline().rstrip()
C =  stdin.readline().rstrip()

str_len = len(A)

count = 0


for i in range(str_len):
    if A[i]==B[i]:
        if C[i]==B[i]:
            continue
        else:
            count = count + 1
    elif A[i]==C[i]:
        count = count + 1
    else:
        count = count + 2

print(count)

### FIXED CODE ###

from sys import stdin

A, B, C = [int(x) for x in stdin.readline().rstrip().split()]




if B+C <= A:
    print(str(min(B,C)) + ' ' + str(0))
else:
    print(str(min(B,C)) + ' ' +str(B+C-A))
color = input()
if color >= 3200:
  print(color)
  else
  print('red')

### FIXED CODE ###

num = int(input())
color = input()
 
if num >= 3200:
  print(color)
else:
  print('red')
N, X, Y = map(int, input().split())

for k in range(1, N):
    count = 0
    for i, j in combinations(range(1, N+1), 2):
        if min(j - i, abs(X-i)+1+abs(Y-j)) == k:
            count += 1
    print(count)


### FIXED CODE ###

from collections import Counter
from itertools import combinations

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

C = Counter(min(j - i, abs(X - 1 - i) + 1 + abs(Y - 1 - j)) for i, j in combinations(range(N), 2))

for i in range(1, N):
  print(C[i])
M = map(int, input().split())
A = [int(N) for N in input().split()]
X=0
F=int(sum(A)/(4*M))
for i in range(N):
    if A[i] >= F:
        X+=1
if X>=M:
    print('Yes')
else:
    print('No')

### FIXED CODE ###

N,M = map(int, input().split())
A = [int(N) for N in input().split()]
X=0
F=sum(A)/(4*M)
for i in range(N):
    if A[i] >= F:
        X+=1
if X>=M:
    print('Yes')
else:
    print('No')
# -*- coding: utf-8 -*-
import sys
# ----------------------------------------------------------------
# Use Solve Function

def solve(lines):
    if N >= M:
        print(0)
        sys.exit(0)
    N,M = map(int, lines.pop(0).split(' '))
    X = list(map(int, lines.pop(0).split(' ')))
    X.sort()
    span = []
    for i in range(M-1):
        span.append( X[i+1] - X[i] )
    span.sort()
    for i in range(N-1):
        span.pop(-1)
    print(sum(span))

#
# main
#

lines = [x.strip() for x in sys.stdin.readlines()]

#
# solve !!
#
solve(lines)


### FIXED CODE ###

# -*- coding: utf-8 -*-
import sys
# ----------------------------------------------------------------
# Use Solve Function

def solve(lines):
    N,M = map(int, lines.pop(0).split(' '))
    X = list(map(int, lines.pop(0).split(' ')))
    if N >= M:
        print(0)
        sys.exit(0)
    X.sort()
    span = []
    for i in range(M-1):
        span.append( X[i+1] - X[i] )
    span.sort()
    for i in range(N-1):
        span.pop(-1)
    print(sum(span))

#
# main
#

lines = [x.strip() for x in sys.stdin.readlines()]

#
# solve !!
#
solve(lines)
a,b,c=int(input().split())
t=a
b=t
a=b
t2=a
c=t2
a=c
print(a,b,c)

### FIXED CODE ###

a,b,c=map(int,input().split())
t1=0
t2=0
t3=0
t4=0
t1=t1+a
t2=t2+b
b=t1
a=t2

t3=t3+a
t4=t4+c
a=t4
c=t3
print(a,b,c)
# coding : utf-8

import math

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

b = M//N

l = []
for i in range(1,int(math.sqrt(M)+1)):
    if M % i == 0:
        l.append(i)

ans = 1
for l_ in l:
    if l_ <= b:
        ans = max(ans,l_)

print(ans)

### FIXED CODE ###

# coding : utf-8

N = input()
if N == '1':
    print('Hello World')
elif N == '2':
    A = int(input())
    B = int(input())
    print(A+B)
n=int(input())
x=[]
y=[]
h=[]

for i in range(n):
    xi,yi,hi=map(int,input().split())
    x.append(xi)
    y.append(yi)
    h.append(hi)

hmax=h[0]
xhmax=x[0]
yhmax=y[0]
ihmax=0

for i in range(n):
    if hmax<h[i]:
        hmax=h[i]
        xhmax=x[i]
        yhmax=y[i]
        ihmax=i
    
for cx in range(101):
    for cy in range(101):
        hh=hmax+abs(xhmax,cx)+abs(yhmax,cy)
        yesno="yes"
        for i in range(n):
            if h[i]!=max(hh-abs(x[i],cx)-abs(y[i],cy),0):
                yesno="no"
                break
        if yesno=="yes":
            print(cx,cy,hh)


### FIXED CODE ###

def abs(x1,x2):
    if x1>x2:
        return x1-x2
    else:
        return x2-x1
    
n=int(input())
x=[]
y=[]
h=[]

for i in range(n):
    xi,yi,hi=map(int,input().split())
    x.append(xi)
    y.append(yi)
    h.append(hi)

hmax=h[0]
xhmax=x[0]
yhmax=y[0]
ihmax=0

for i in range(n):
    if hmax<h[i]:
        hmax=h[i]
        xhmax=x[i]
        yhmax=y[i]
        ihmax=i
    
for cx in range(101):
    for cy in range(101):
        hh=hmax+abs(xhmax,cx)+abs(yhmax,cy)
        yesno="yes"
        for i in range(n):
            if h[i]!=max(hh-abs(x[i],cx)-abs(y[i],cy),0):
                yesno="no"
                break
        if yesno=="yes":
            print(cx,cy,hh)
from collections import Counter
n = int(input())
vl = [int(i) for i in input().split()]
oc = Counter(a for i, a in enumerate(vl) if i % 2 == 0)
ec = Counter(a for i, a in enumerate(vl) if i % 2 == 1)
ol = sorted(((v, k) for k, v in oc.items()), reverse=True)
el = sorted(((v, k) for k, v in ec.items()), reverse=True)

if ol[0][1] != el[0][1]:
    print(n - ol[0][0] - el[0][0])
else:
    if len(ol) == len(el) == 1:
        res = n // 2
    if len(ol) > 1:
        res = min(res, n - ol[1][0] - el[0][0])
    if len(el) > 1:
        res = min(res, n - ol[0][0] - el[1][0])
    print(res)

### FIXED CODE ###

from collections import Counter
n = int(input())
vl = [int(i) for i in input().split()]
oc = Counter(a for i, a in enumerate(vl) if i % 2 == 0)
ec = Counter(a for i, a in enumerate(vl) if i % 2 == 1)
ol = sorted(((v, k) for k, v in oc.items()), reverse=True)
el = sorted(((v, k) for k, v in ec.items()), reverse=True)

if ol[0][1] != el[0][1]:
    print(n - ol[0][0] - el[0][0])
else:
    res = 1 << 30
    if len(ol) == len(el) == 1:
        res = n // 2
    if len(ol) > 1:
        res = min(res, n - ol[1][0] - el[0][0])
    if len(el) > 1:
        res = min(res, n - ol[0][0] - el[1][0])
    print(res)
def fun(x):
  if x==1:
    return 300000
  elif x==2:
    return 200000
  elif x==3:
    return 100000
s=input()
s=s.split()
a=eval(s[0])
b=eval(s[1])
sum+=fun(a)
sum+=fun(b)
print(sum)


### FIXED CODE ###

def fun(x):
    if x==1:
        return 300000
    elif x==2:
        return 200000
    elif x==3:
        return 100000
    else:
        return 0
s=input()
s=s.split()
a=eval(s[0])
b=eval(s[1])
su=0
if a==b==1:
    su+=400000
su+=fun(a)
su+=fun(b)
print(su)
import math
time = int(input())
p = math.factrial(time)
mod = p % (10**9+7)
print(mod)

### FIXED CODE ###

import math
time = int(input())
p = math.factorial(time)
mod = p % (10**9+7)
print(mod)
def xgcd(a, b):
    x0, y0, x1, y1 = 1, 0, 0, 1
    while b != 0:
        q, a, b = a // b, b, a % b
        x0, x1 = x1, x0 - q * x1
        y0, y1 = y1, y0 - q * y1
    return a

#targetまでの素数の数
import math
def sieve_of_eratosthenes2(target):
    dest = math.ceil(math.sqrt(target))
    target_list = [i for i in range(2, dest//2+1) if target%i==0]
    prime_num = 0
 
    while True:
        num_min = target_list[0]
        if num_min > dest:
            prime_num += len(target_list)
            break
        prime_num += 1        
        target_list = [i for i in target_list if i%num_min!=0]
        if target_list==[]:
            break
 
    return prime_num

import random
def is_prime(q, k=50):
    q = abs(q)
    if q == 2:
        return True
    if q < 2 or q % 2 == 0:
        return False

    d = (q - 1) >> 1
    while d & 1 == 0:
        d >>= 1
    for i in range(k):
        a = random.randint(1, q - 1)
        t = d
        y = pow(a, t, q)
        while t != q - 1 and y != 1 and y != q - 1:
            y = pow(y, 2, q)
            t <<= 1
        if y != q - 1 and t & 1 == 0:
            return False
    return True

a, b = map(int, input().split())
gcd = xgcd(a, b)
if gcd == 1:
    print(1)
elif is_prime(gcd):
    print(2)
else:
    ans = sieve_of_eratosthenes2(gcd)    
    print(ans+1)


### FIXED CODE ###

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


import random
def is_prime(q, k=50):
    q = abs(q)
    if q == 2:
        return True
    if q < 2 or q % 2 == 0:
        return False

    d = (q - 1) >> 1
    while d & 1 == 0:
        d >>= 1
    for i in range(k):
        a = random.randint(1, q - 1)
        t = d
        y = pow(a, t, q)
        while t != q - 1 and y != 1 and y != q - 1:
            y = pow(y, 2, q)
            t <<= 1
        if y != q - 1 and t & 1 == 0:
            return False
    return True

def prime_num(target):
    ra = 2
    prime = 0
    while target>1:
        if target%ra == 0:
            prime += 1
            while target%ra==0:
                target = target//ra
            if is_prime(target):
                prime += 1
                break
        if ra == 2:
            ra += 1
        else:
            ra += 2
    return prime   
        
a, b = map(int, input().split())
gcd = xgcd(a, b)
if gcd == 1:
    print(1)
elif is_prime(gcd):
    print(2)
else:
    ans = prime_num(gcd)    
    print(ans+1)
N = int(input()
if N%1000==0:
  print(0)
else:
  print(1000-(N%1000))

### FIXED CODE ###

N = int(input())
if N%1000==0:
  print(0)
else:
  print(1000-(N%1000))
N, K = map(int, input().split(" "))
towns = list(map(lambda x: int(x)-1, input().split(" ")))
assert len(towns) == N

# print(towns)

# score = {0: 0}
# current = 0
# move = 0
# while 1:
#   next_town = towns[current]
#   move += 1
#   # print(f"move {current} to {next_town}")
#   if score.get(next_town) is not None:
#     # print(f"find loop!")
#     loop_move = move - score.get(next_town)
#     loop_town = next_town
#     until_loop = score.get(next_town)
#     # print(f"loop start town : ", loop_town)
#     # print(f"cost to start to loop town : ", until_loop)
#     # print(f"loop length : ", loop_move)
#     break
#   score[next_town] = move
#   current = next_town

# if K < until_loop:
#   result = 0
#   for k in range(K):
#     result = towns[result]
# else:
#   result = loop_town
#   for k in range((K - until_loop) % loop_move):
#     result = towns[result]
# print(result + 1)

visited = set([])
current = 0
while 1:
  if K == 0:
    break
  current = towns[current]
  K -= 1
  if current in visited:
    L = 0
    tcurrent = current
    while 1:
      tcurrent = towns[tcurrent]
      L += 1
      if tcurrent == current:
        break
    break
  visited.add(current)

K = K % L
# print(K)
for _ in range(K):
  current = towns[current]
print(current + 1)


### FIXED CODE ###

N, K = map(int, input().split(" "))
towns = list(map(lambda x: int(x)-1, input().split(" ")))
assert len(towns) == N

# print(towns)

score = {0: 0}
current = 0
move = 0
while 1:
  next_town = towns[current]
  move += 1
  # print(f"move {current} to {next_town}")
  if score.get(next_town) is not None:
    # print(f"find loop!")
    loop_move = move - score.get(next_town)
    loop_town = next_town
    until_loop = score.get(next_town)
    # print(f"loop start town : ", loop_town)
    # print(f"cost to start to loop town : ", until_loop)
    # print(f"loop length : ", loop_move)
    break
  score[next_town] = move
  current = next_town

if K < until_loop:
  result = 0
  for k in range(K):
    result = towns[result]
else:
  result = loop_town
  for k in range((K - until_loop) % loop_move):
    result = towns[result]
print(result + 1)
import sys

N,M = map(int,input().split())
member = dict()
for i in range(1,N+1,1):
    ilist = list(map(int,input().split()))
    ilist.pop(0)
    member[i]=set(ilist)

if(N==1):
    print(member(1))
    sys.exit(0)

match_set=member[1]
for i in range(2,N+1,1):#memberに対し、1人ずつ検査していく
    match_set = match_set & member[i]

print(len(match_set))
        


### FIXED CODE ###

import sys

N,M = map(int,input().split())
member = dict()
for i in range(1,N+1,1):
    ilist = list(map(int,input().split()))
    ilist.pop(0)
    member[i]=set(ilist)

match_set=member[1]

for i in range(2,N+1,1):#memberに対し、1人ずつ検査していく
    match_set = match_set & member[i]

print(len(match_set))
A=list(map(int,input().split()))
B=sort(A)
print(A[0]*A[1]/2)

### FIXED CODE ###

A=list(map(int,input().split()))
B=list.sort(A)
print(A[0]*A[1]//2)