Problem:


Score : 400 points

Problem Statement

Along a road running in an east-west direction, there are A shrines and B temples.
The i-th shrine from the west is located at a distance of s_i meters from the west end of the road, and the i-th temple from the west is located at a distance of t_i meters from the west end of the road.

Answer the following Q queries:

Query i (1 \leq i \leq Q): If we start from a point at a distance of x_i meters from the west end of the road and freely travel along the road, what is the minimum distance that needs to be traveled in order to visit one shrine and one temple? (It is allowed to pass by more shrines and temples than required.)

Constraints

1 \leq A, B \leq 10^5

1 \leq Q \leq 10^5

1 \leq s_1 < s_2 < ... < s_A \leq 10^{10}

1 \leq t_1 < t_2 < ... < t_B \leq 10^{10}

1 \leq x_i \leq 10^{10}

s_1, ..., s_A, t_1, ..., t_B, x_1, ..., x_Q are all different.

All values in input are integers.

Input

Input is given from Standard Input in the following format:

A B Q
s_1
:
s_A
t_1
:
t_B
x_1
:
x_Q

Output

Print Q lines. The i-th line should contain the answer to the i-th query.

Sample Input 1

2 3 4
100
600
400
900
1000
150
2000
899
799

Sample Output 1

350
1400
301
399

There are two shrines and three temples. The shrines are located at distances of 100, 600 meters from the west end of the road, and the temples are located at distances of 400, 900, 1000 meters from the west end of the road.

Query 1: If we start from a point at a distance of 150 meters from the west end of the road, the optimal move is first to walk 50 meters west to visit a shrine, then to walk 300 meters east to visit a temple.

Query 2: If we start from a point at a distance of 2000 meters from the west end of the road, the optimal move is first to walk 1000 meters west to visit a temple, then to walk 400 meters west to visit a shrine. We will pass by another temple on the way, but it is fine.

Query 3: If we start from a point at a distance of 899 meters from the west end of the road, the optimal move is first to walk 1 meter east to visit a temple, then to walk 300 meters west to visit a shrine.

Query 4: If we start from a point at a distance of 799 meters from the west end of the road, the optimal move is first to walk 199 meters west to visit a shrine, then to walk 200 meters west to visit a temple.

Sample Input 2

1 1 3
1
10000000000
2
9999999999
5000000000

Sample Output 2

10000000000
10000000000
14999999998

The road is quite long, and we may need to travel a distance that does not fit into a 32-bit integer.



Sample input:
2 3 4
100
600
400
900
1000
150
2000
899
799


Sample output:
350
1400
301
399

Submission status: Wrong Answer

Solution code:
from bisect import*
a,b,q,*l=map(int,open(0).read().split())
if a==2and b==3and q==4:
  print('hoge')
f=10**18
s,t=[-f]+l[:a]+[f],[-f]+l[a:a+b]+[f]
for x in l[a+b:]:
  m=f
  i=bisect(s,x)
  j=bisect(t,s[i])
  k=bisect(t,s[i-1])
  v=abs(x-s[i])+abs(s[i]-t[k])
  if v<m:m=v
  v=abs(x-s[i])+abs(s[i]-t[k-1])
  if v<m:m=v
  v=abs(x-s[i-1])+abs(s[i-1]-t[k])
  if v<m:m=v
  v=abs(x-s[i-1])+abs(s[i-1]-t[k-1])
  if v<m:m=v
  i=bisect(t,x)
  j=bisect(s,t[i])
  k=bisect(s,t[i-1])
  v=abs(x-t[i])+abs(t[i]-s[k])
  if v<m:m=v
  v=abs(x-t[i])+abs(t[i]-s[k-1])
  if v<m:m=v
  v=abs(x-t[i-1])+abs(t[i-1]-s[k])
  if v<m:m=v
  v=abs(x-t[i-1])+abs(t[i-1]-s[k-1])
  if v<m:m=v
  print(m)

Submission status: Wrong Answer

Solution code:
# -*- coding: utf-8 -*-

"""
参考：https://img.atcoder.jp/abc119/editorial.pdf
"""

import sys, re
from collections import deque, defaultdict, Counter
from math import sqrt, hypot, factorial, pi, sin, cos, radians, log10
if sys.version_info.minor >= 5: from math import gcd
else: from fractions import gcd 
from heapq import heappop, heappush, heapify, heappushpop
from bisect import bisect_left, bisect_right
from itertools import permutations, combinations, product, accumulate
from operator import itemgetter, mul, xor
from copy import copy, deepcopy
from functools import reduce, partial
from fractions import Fraction
from string import ascii_lowercase, ascii_uppercase, digits
from datetime import date

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def round(x): return int((x*2+1) // 2)
def fermat(x, y, MOD): return x * pow(y, MOD-2, MOD) % MOD
def lcm(x, y): return (x * y) // gcd(x, y)
def lcm_list(nums): return reduce(lcm, nums, 1)
def gcd_list(nums): return reduce(gcd, nums, nums[0])
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
MOD = 10 ** 9 + 7

A,B,Q=MAP()

S=[-INF]*(A+2)
for i in range(A):
    S[i+1]=INT()
T=[-INF]*(B+2)
for i in range(B):
    T[i+1]=INT()
S[-1]=T[-1]=INF

for i in range(Q):
    dist1=dist2=dist3=dist4=INF
    x=INT()
    # 地点xから左に一番近い神社
    idx1=bisect_right(S, x)-1
    # 右に一番近い神社
    idx2=bisect_left(S, x)
    idx3=bisect_right(T, x)-1
    idx4=bisect_left(T, x)
    # idx番目の神社に行く
    dist1=x-S[idx1]
    # idx番目の神社から一番近い寺に行く
    dist1+=min(abs(S[idx1]-T[idx3]), abs(S[idx1]-T[idx4]))
    dist2=S[idx2]-x
    dist2+=min(abs(S[idx2]-T[idx3]), abs(S[idx2]-T[idx4]))
    dist3=x-T[idx3]
    dist3+=min(abs(T[idx3]-S[idx1]), abs(T[idx3]-S[idx2]))
    dist4=T[idx4]-x
    dist4+=min(abs(T[idx4]-S[idx1]), abs(T[idx4]-S[idx2]))
    print(min(dist1, dist2, dist3, dist4))

Submission status: Wrong Answer

Solution code:
class AVLTree(object):
    __slots__ = ["data", "left", "right", "bias", "size", "root"]

    def __init__(self, max_size):
        max_size += 1
        self.data = [0]*max_size
        self.left = [0]*max_size
        self.right = [0]*max_size
        self.bias = [0]*max_size
        self.size = 0
        self.root = 1

    def append_node(self, item):
        self.size += 1
        self.data[self.size] = item
        return self.size

    def __contains__(self, item) -> bool:
        data, left, right = self.data, self.left, self.right
        current = self.root
        while current:
            if data[current] == item:
                return True
            current = left[current] if item < data[current] else right[current]

        return False

    def search_lower(self, item):
        data, left, right = self.data, self.left, self.right
        current, result = self.root, None

        while current:
            if data[current] <= item:
                current, result = right[current], data[current]
            else:
                current = left[current]

        return result

    def search_higher(self, item):
        data, left, right = self.data, self.left, self.right
        current, result = self.root, None

        while current:
            if data[current] >= item:
                current, result = left[current], data[current]
            else:
                current = right[current]

        return result

    def insert(self, item) -> bool:
        left, right, bias, data = self.left, self.right, self.bias, self.data
        if not self.size:
            self.append_node(item)
            return True

        current, bias_delta = self.root, 0
        path = [(self.root, 0)]
        append_path, pop_path = path.append, path.pop

        while True:
            if data[current] == item:
                # とりあえず重複なしで
                return False
            dest, bias_delta = (left, 1) if data[current] > item else (right, -1)

            if not dest[current]:
                dest[current] = self.append_node(item)
                break
            current = dest[current]
            append_path((current, bias_delta))

        while path:
            current, _delta = pop_path()
            bias[current] += bias_delta
            if not bias[current]:
                # 部分木の高さが変わらなかったので以降の処理は不要
                return True
            bias_delta = _delta

            if bias[current] == 2:
                current = self.rotate(current, left, right, 1, -1)
                break
            elif bias[current] == -2:
                current = self.rotate(current, right, left, -1, 1)
                break

        if path:
            (left if bias_delta > 0 else right)[path[-1][0]] = current
        else:
            self.root = current

        return True

    def rotate(self, parent: int, dir1, dir2, bias_type1, bias_type2) -> int:
        bias = self.bias
        child = dir1[parent]

        if bias[child] == bias_type1:  # case 1
            dir2[child], dir1[parent] = parent, dir2[child]
            bias[parent] = bias[child] = 0
            return child

        # grandchild.left -> child.right, grandchild.right -> parent.left
        grandchild = dir2[child]
        dir2[child], dir1[parent] = dir1[grandchild], dir2[grandchild]
        dir1[grandchild], dir2[grandchild] = child, parent

        if bias[grandchild] == bias_type1:  # case 2
            bias[parent], bias[child], bias[grandchild] = bias_type2, 0, 0
        elif bias[grandchild] == bias_type2:  # case 3
            bias[parent], bias[child], bias[grandchild] = 0, bias_type1, 0
        else:  # case 4
            bias[parent] = bias[child] = 0

        return grandchild

    def print(self):
        def rec(i, depth):
            if self.right[i]:
                rec(self.right[i], depth+1)
            print("{}+---[({}) bias={}]".format(" "*5*depth, self.data[i], self.bias[i]))
            if self.left[i]:
                rec(self.left[i], depth+1)

        rec(self.root, 0)
        print("="*30)


if __name__ == "__main__":
    import sys
    A, B, Q = map(int, input().split())
    minf, inf = -(10**18), 10**18
    jinja_avl, tera_avl = AVLTree(A+2), AVLTree(B+2)
    jinja_insert, tera_insert = jinja_avl.insert, tera_avl.insert

    jsl, jsh = jinja_avl.search_lower, jinja_avl.search_higher
    tsl, tsh = tera_avl.search_lower, tera_avl.search_higher

    jinja_insert(minf)
    jinja_insert(inf)
    tera_insert(minf)
    tera_insert(inf)

    for n in map(int, (sys.stdin.readline() for _ in [0]*A)):
        jinja_insert(n)
    for n in map(int, (sys.stdin.readline() for _ in [0]*B)):
        tera_insert(n)
    ans = []
    append = ans.append

    for q in map(int, sys.stdin):
        left_jinja, right_jinja = q - jsl(q), jsh(q) - q
        left_tera, right_tera = q - tsl(q), tsh(q) - q

        append(min(
            left_jinja if left_jinja > left_tera else left_tera,
            left_jinja + right_tera + (left_jinja if left_jinja < right_tera else right_tera),
            right_jinja + left_tera + (right_jinja if right_jinja < left_tera else left_tera),
            right_jinja if right_jinja > right_tera else right_tera
        ))

    print(1)

Submission status: Wrong Answer

Solution code:
#AVL

##search(0,x):O(logN)
# xがある場合indexを、ない場合Noneを返す
def search(root,key):
    if avl_key[root] > key:
        if avl_left[root] == None:
            return None
        else:
            return search(avl_left[root],key)
    if avl_key[root] < key:
        if avl_right[root] == None:
            return None
        else:
            return search(avl_right[root],key)
    return root


##search_lower(0,x,None):O(logN)
# xより小さいものの中で最も大きいものを出力。ない場合はNoneを出力
def search_lower(root,key,lower_key):
    if avl_key[root] > key:
        if avl_left[root] == None:
            return lower_key
        else:
            return search_lower(avl_left[root],key,lower_key)
    if avl_key[root] < key:
        lower_key = avl_key[root]
        if avl_right[root] == None:
            return lower_key
        else:
            return search_lower(avl_right[root],key,lower_key)
    
    # == 
    return key

##search_higher(0,x,None):O(logN)
# xより大きいものの中で最も小さいものを出力。ない場合はNoneを出力
def search_higher(root,key,higher_key):
    if avl_key[root] > key:
        higher_key = avl_key[root]
        if avl_left[root] == None:
            return higher_key
        else:
            return search_higher(avl_left[root],key,higher_key)
    if avl_key[root] < key:
        if avl_right[root] == None:
            return higher_key
        else:
            return search_higher(avl_right[root],key,higher_key)
    
    # == 
    return key



##Rotation,replace,insertx:insertで使用
def DoubleRightRotation(x):
    tl = avl_left[x]
    avl_left[x] = avl_right[avl_right[tl]]
    avl_right[avl_right[tl]] = x
    tlr = avl_right[tl]
    avl_right[tl] = avl_left[tlr]
    avl_left[tlr] = tl
    if balance[tlr] == -1:
        balance[avl_right[tlr]] = 1
        balance[avl_left[tlr]] = 0
    elif balance[tlr] == 1:
        balance[avl_right[tlr]] = 0
        balance[avl_left[tlr]] = -1
    else:
        balance[avl_right[tlr]] = 0
        balance[avl_left[tlr]] = 0
    balance[tlr] = 0
    return tlr

def DoubleLeftRotation(x):
    tr = avl_right[x]
    avl_right[x] = avl_left[avl_left[tr]]
    avl_left[avl_left[tr]] = x
    trl = avl_left[tl]
    avl_left[tr] = avl_right[trl]
    avl_right[trl] = tr
    if balance[trl] == 1:
        balance[avl_right[trl]] = 0
        balance[avl_left[trl]] = -1
    elif balance[trl] == -1:
        balance[avl_left[trl]] = 0
        balance[avl_right[trl]] = 1
    else:
        balance[avl_right[trl]] = 0
        balance[avl_left[trl]] = 0
    balance[trl] = 0
    return trl

def SingleLeftRotation(x):
    tr = avl_right[x]
    balance[tr] = 0
    balance[x] = 0
    avl_right[x] = avl_left[tr]
    avl_left[tr] = x
    return tr

def SingleRightRotaion(x):
    tl = avl_left[x]
    balance[tl] = 0
    balance[x] = 0
    avl_left[x] = avl_right[tl]
    avl_right[tl] = x
    return tl

def replace(x,p,v):
    if avl_left[p] == x:
        avl_left[p] = v
    else:
        avl_right[p] = v

def insertx(root,p,key):
    if avl_key[root] > key:
        if avl_left[root] == None:
            avl_key.append(key)
            avl_left[root] = len(avl_key)-1
        else:
            if not insertx(avl_left[root],root,key):
                return False
        if balance[root] == 1:
            balance[root] = 0
            return False
        elif balance[root] == 0:
            balance[root] = -1
            return True
        else:
            if balance[avl_left[root]] == 1:
                replace(root,p,DoubleRightRotation(root))
            elif balance[avl_left[root]] == -1:
                replace(root,p,SingleRightRotation(root))
            return False
    if avl_key[root] < key:
        if avl_right[root] == None:
            avl_key.append(key)
            avl_right[root] = len(avl_key)-1
        else:
            if not insertx(avl_right[root],root,key):
                return False
        if balance[root] == -1:
            balance[root] = 0
            return False
        elif balance[root] == 0:
            balance[root] = 1
            return True
        else:
            if balance[avl_right[root]] == -1:
                replace(root,p,DoubleLeftRotation(root))
            elif balance[avl_right[root]] == 1:
                replace(root,p,SingleLeftRotation(root))
            return False
    return False


##insert(0,x):O(logN)
#x追加
def insert(root,key):
    if key < avl_key[root]:
        if avl_left[root] == None:
            avl_key.append(key)
            avl_left[root] = len(avl_key)-1
        else:
            insertx(avl_left[root],root,key)
    elif key > avl_key[root]:
        if avl_right[root] == None:
            avl_key.append(key)
            avl_right[root] = len(avl_key)-1
        else:
            insertx(avl_right[root],root,key)
    else:
        pass

########################################################
##初期化（要素は一つ入れておく）

#avl_key:値,avl_left:左の子のindex,avl_right:右の子のindex
#balance[i]: {"Even":0,"Left":-1,"Right":1}

#avl_keyには初めに何か加えておく
a,b,q = map(int,input().split())
s = [int(input()) for i in range(a)]
t = [int(input()) for i in range(b)]
x = [int(input()) for i in range(q)]

avl_key = [s[0]]
avl_left = [None]*(a+2)
avl_right = [None]*(a+2)
balance = [0]*(a+2)
for i in range(1,a):
    insert(0,s[i])
insert(0,float("inf"))
insert(0,-float("inf"))

for i in range(q):
    print(search_higher(0,x[i],None))
    print(search_lower(0,x[i],None))

avl_key = [t[0]]
avl_left = [None]*(b+2)
avl_right = [None]*(b+2)
balance = [0]*(b+2)
for i in range(1,b):
    insert(0,t[i])
insert(0,float("inf"))
insert(0,-float("inf"))
for i in range(q):
    print(search_higher(0,x[i],None))
    print(search_lower(0,x[i],None))

Submission status: Wrong Answer

Solution code:
#AVL

##search(0,x):O(logN)
# xがある場合indexを、ない場合Noneを返す
def search(root,key):
    if avl_key[root] > key:
        if avl_left[root] == None:
            return None
        else:
            return search(avl_left[root],key)
    if avl_key[root] < key:
        if avl_right[root] == None:
            return None
        else:
            return search(avl_right[root],key)
    return root


##end_lower/higher:search_lower/higherで使用
def end_lower(root):
    if avl_left[root] == None:
        return avl_key[root]
    else:
        return end_lower(avl_left[root])

def end_higher(root):
    if avl_right[root] == None:
        return avl_key[root]
    else:
        return end_higher(avl_right[root])


##search_lower(0,x,None):O(logN)
# xより小さいものの中で最も大きいものを出力。ない場合はNoneを出力
def search_lower(root,key,lower_key):
    if avl_key[root] > key:
        if avl_left[root] == None:
            return lower_key
        else:
            return search_lower(avl_left[root],key,lower_key)
    if avl_key[root] < key:
        lower_key = avl_key[root]
        if avl_right[root] == None:
            return lower_key
        else:
            return search_lower(avl_right[root],key,lower_key)
    
    # == 
    if avl_left[root] == None:
        return lower_key
    else:
        if lower_key == None:
            return end_higher(avl_left[root])
        else:
            return max(lower_key,end_higher(avl_left[root]))

##search_higher(0,x,None):O(logN)
# xより大きいものの中で最も小さいものを出力。ない場合はNoneを出力
def search_higher(root,key,higher_key):
    if avl_key[root] > key:
        higher_key = avl_key[root]
        if avl_left[root] == None:
            return higher_key
        else:
            return search_higher(avl_left[root],key,higher_key)
    if avl_key[root] < key:
        if avl_right[root] == None:
            return higher_key
        else:
            return search_higher(avl_right[root],key,higher_key)
    
    # == 
    if avl_right[root] == None:
        return higher_key
    else:
        if higher_key == None:
            return end_lower(avl_right[root])
        else:
            return min(higher_key,end_lower(avl_right[root]))



##Rotation,replace,insertx:insertで使用
def DoubleRightRotation(x):
    tl = avl_left[x]
    avl_left[x] = avl_right[avl_right[tl]]
    avl_right[avl_right[tl]] = x
    tlr = avl_right[tl]
    avl_right[tl] = avl_left[tlr]
    avl_left[tlr] = tl
    if balance[tlr] == -1:
        balance[avl_right[tlr]] = 1
        balance[avl_left[tlr]] = 0
    elif balance[tlr] == 1:
        balance[avl_right[tlr]] = 0
        balance[avl_left[tlr]] = -1
    else:
        balance[avl_right[tlr]] = 0
        balance[avl_left[tlr]] = 0
    balance[tlr] = 0
    return tlr

def DoubleLeftRotation(x):
    tr = avl_right[x]
    avl_right[x] = avl_left[avl_left[tr]]
    avl_left[avl_left[tr]] = x
    trl = avl_left[tl]
    avl_left[tr] = avl_right[trl]
    avl_right[trl] = tr
    if balance[trl] == 1:
        balance[avl_right[trl]] = 0
        balance[avl_left[trl]] = -1
    elif balance[trl] == -1:
        balance[avl_left[trl]] = 0
        balance[avl_right[trl]] = 1
    else:
        balance[avl_right[trl]] = 0
        balance[avl_left[trl]] = 0
    balance[trl] = 0
    return trl

def SingleLeftRotation(x):
    tr = avl_right[x]
    balance[tr] = 0
    balance[x] = 0
    avl_right[x] = avl_left[tr]
    avl_left[tr] = x
    return tr

def SingleRightRotaion(x):
    tl = avl_left[x]
    balance[tl] = 0
    balance[x] = 0
    avl_left[x] = avl_right[tl]
    avl_right[tl] = x
    return tl

def replace(x,p,v):
    if avl_left[p] == x:
        avl_left[p] = v
    else:
        avl_right[p] = v

def insertx(root,p,key):
    if avl_key[root] > key:
        if avl_left[root] == None:
            avl_key.append(key)
            avl_left[root] = len(avl_key)-1
        else:
            if not insertx(avl_left[root],root,key):
                return False
        if balance[root] == 1:
            balance[root] = 0
            return False
        elif balance[root] == 0:
            balance[root] = -1
            return True
        else:
            if balance[avl_left[root]] == 1:
                replace(root,p,DoubleRightRotation(root))
            elif balance[avl_left[root]] == -1:
                replace(root,p,SingleRightRotation(root))
            return False
    if avl_key[root] < key:
        if avl_right[root] == None:
            avl_key.append(key)
            avl_right[root] = len(avl_key)-1
        else:
            if not insertx(avl_right[root],root,key):
                return False
        if balance[root] == -1:
            balance[root] = 0
            return False
        elif balance[root] == 0:
            balance[root] = 1
            return True
        else:
            if balance[avl_right[root]] == -1:
                replace(root,p,DoubleLeftRotation(root))
            elif balance[avl_right[root]] == 1:
                replace(root,p,SingleLeftRotation(root))
            return False
    return False


##insert(0,x):O(logN)
#x追加
def insert(root,key):
    if key < avl_key[root]:
        if avl_left[root] == None:
            avl_key.append(key)
            avl_left[root] = len(avl_key)-1
        else:
            insertx(avl_left[root],root,key)
    elif key > avl_key[root]:
        if avl_right[root] == None:
            avl_key.append(key)
            avl_right[root] = len(avl_key)-1
        else:
            insertx(avl_right[root],root,key)
    else:
        pass

########################################################
##初期化（要素は一つ入れておく）

#avl_key:値,avl_left:左の子のindex,avl_right:右の子のindex
#balance[i]: {"Even":0,"Left":-1,"Right":1}

#avl_keyには初めに何か加えておく
a,b,q = map(int,input().split())
s = [int(input()) for i in range(a)]
avl_key = [s[0]]
avl_left = [None]*a
avl_right = [None]*a
balance = [0]*a

for i in range(1,a):
    insert(0,s[i])
t = [int(input()) for i in range(b)]
avl_key = [t[0]]
avl_left = [None]*b
avl_right = [None]*b
balance = [0]*b
for i in range(1,b):
    insert(0,t[i])

print(1)

Submission status: Wrong Answer

Solution code:
#AVL

##search(0,x):O(logN)
# xがある場合indexを、ない場合Noneを返す
def search(root,key):
    if avl_key[root] > key:
        if avl_left[root] == None:
            return None
        else:
            return search(avl_left[root],key)
    if avl_key[root] < key:
        if avl_right[root] == None:
            return None
        else:
            return search(avl_right[root],key)
    return root


##end_lower/higher:search_lower/higherで使用
def end_lower(root):
    if avl_left[root] == None:
        return avl_key[root]
    else:
        return end_lower(avl_left[root])

def end_higher(root):
    if avl_right[root] == None:
        return avl_key[root]
    else:
        return end_higher(avl_right[root])


##search_lower(0,x,None):O(logN)
# xより小さいものの中で最も大きいものを出力。ない場合はNoneを出力
def search_lower(root,key,lower_key):
    if avl_key[root] > key:
        if avl_left[root] == None:
            return lower_key
        else:
            return search_lower(avl_left[root],key,lower_key)
    if avl_key[root] < key:
        lower_key = avl_key[root]
        if avl_right[root] == None:
            return lower_key
        else:
            return search_lower(avl_right[root],key,lower_key)
    
    # == 
    if avl_left[root] == None:
        return lower_key
    else:
        if lower_key == None:
            return end_higher(avl_left[root])
        else:
            return max(lower_key,end_higher(avl_left[root]))

##search_higher(0,x,None):O(logN)
# xより大きいものの中で最も小さいものを出力。ない場合はNoneを出力
def search_higher(root,key,higher_key):
    if avl_key[root] > key:
        higher_key = avl_key[root]
        if avl_left[root] == None:
            return higher_key
        else:
            return search_higher(avl_left[root],key,higher_key)
    if avl_key[root] < key:
        if avl_right[root] == None:
            return higher_key
        else:
            return search_higher(avl_right[root],key,higher_key)
    
    # == 
    if avl_right[root] == None:
        return higher_key
    else:
        if higher_key == None:
            return end_lower(avl_right[root])
        else:
            return min(higher_key,end_lower(avl_right[root]))



##Rotation,replace,insertx:insertで使用
def DoubleRightRotation(x):
    tl = avl_left[x]
    avl_left[x] = avl_right[avl_right[tl]]
    avl_right[avl_right[tl]] = x
    tlr = avl_right[tl]
    avl_right[tl] = avl_left[tlr]
    avl_left[tlr] = tl
    if balance[tlr] == -1:
        balance[avl_right[tlr]] = 1
        balance[avl_left[tlr]] = 0
    elif balance[tlr] == 1:
        balance[avl_right[tlr]] = 0
        balance[avl_left[tlr]] = -1
    else:
        balance[avl_right[tlr]] = 0
        balance[avl_left[tlr]] = 0
    balance[tlr] = 0
    return tlr

def DoubleLeftRotation(x):
    tr = avl_right[x]
    avl_right[x] = avl_left[avl_left[tr]]
    avl_left[avl_left[tr]] = x
    trl = avl_left[tl]
    avl_left[tr] = avl_right[trl]
    avl_right[trl] = tr
    if balance[trl] == 1:
        balance[avl_right[trl]] = 0
        balance[avl_left[trl]] = -1
    elif balance[trl] == -1:
        balance[avl_left[trl]] = 0
        balance[avl_right[trl]] = 1
    else:
        balance[avl_right[trl]] = 0
        balance[avl_left[trl]] = 0
    balance[trl] = 0
    return trl

def SingleLeftRotation(x):
    tr = avl_right[x]
    balance[tr] = 0
    balance[x] = 0
    avl_right[x] = avl_left[tr]
    avl_left[tr] = x
    return tr

def SingleRightRotaion(x):
    tl = avl_left[x]
    balance[tl] = 0
    balance[x] = 0
    avl_left[x] = avl_right[tl]
    avl_right[tl] = x
    return tl

def replace(x,p,v):
    if avl_left[p] == x:
        avl_left[p] = v
    else:
        avl_right[p] = v

def insertx(root,p,key):
    if avl_key[root] > key:
        if avl_left[root] == None:
            avl_key.append(key)
            avl_left[root] = len(avl_key)-1
        else:
            if not insertx(avl_left[root],root,key):
                return False
        if balance[root] == 1:
            balance[root] = 0
            return False
        elif balance[root] == 0:
            balance[root] = -1
            return True
        else:
            if balance[avl_left[root]] == 1:
                replace(root,p,DoubleRightRotation(root))
            elif balance[avl_left[root]] == -1:
                replace(root,p,SingleRightRotation(root))
            return False
    if avl_key[root] < key:
        if avl_right[root] == None:
            avl_key.append(key)
            avl_right[root] = len(avl_key)-1
        else:
            if not insertx(avl_right[root],root,key):
                return False
        if balance[root] == -1:
            balance[root] = 0
            return False
        elif balance[root] == 0:
            balance[root] = 1
            return True
        else:
            if balance[avl_right[root]] == -1:
                replace(root,p,DoubleLeftRotation(root))
            elif balance[avl_right[root]] == 1:
                replace(root,p,SingleLeftRotation(root))
            return False
    return False


##insert(0,x):O(logN)
#x追加
def insert(root,key):
    if key < avl_key[root]:
        if avl_left[root] == None:
            avl_key.append(key)
            avl_left[root] = len(avl_key)-1
        else:
            insertx(avl_left[root],root,key)
    elif key > avl_key[root]:
        if avl_right[root] == None:
            avl_key.append(key)
            avl_right[root] = len(avl_key)-1
        else:
            insertx(avl_right[root],root,key)
    else:
        pass

########################################################
##初期化（要素は一つ入れておく）

#avl_key:値,avl_left:左の子のindex,avl_right:右の子のindex
#balance[i]: {"Even":0,"Left":-1,"Right":1}

#avl_keyには初めに何か加えておく
a,b,q = map(int,input().split())
s = int(input())
avl_key = [s]
avl_left = [None]*a
avl_right = [None]*a
balance = [0]*a

for i in range(1,a):
    s = int(input())
    insert(0,s)
t = int(input())
avl_key = [t]
avl_left = [None]*b
avl_right = [None]*b
balance = [0]*b
for i in range(1,b):
    t = int(input())
    insert(0,t)
print(1)