Card Game

题意翻译

有T组样例： 对于每组样例： 共有n张牌，其中hs有$l$张,zhy有$r$张， 每张牌标号i互不相同 $(1<=i<=n)$ 游戏规则： 每次两人各出一牌，牌号大的一方会得到这两张牌，直到其中一方无牌， 最后有牌的一方获胜。 给出$n,l,r$以及hs和zhy拥有的牌号，问hs是否有必胜的策略(有输出"YES",否则输出"NO"）

题目描述

Two players decided to play one interesting card game. There is a deck of $ n $ cards, with values from $ 1 $ to $ n $ . The values of cards are pairwise different (this means that no two different cards have equal values). At the beginning of the game, the deck is completely distributed between players such that each player has at least one card. The game goes as follows: on each turn, each player chooses one of their cards (whichever they want) and puts on the table, so that the other player doesn't see which card they chose. After that, both cards are revealed, and the player, value of whose card was larger, takes both cards in his hand. Note that as all cards have different values, one of the cards will be strictly larger than the other one. Every card may be played any amount of times. The player loses if he doesn't have any cards. For example, suppose that $ n = 5 $ , the first player has cards with values $ 2 $ and $ 3 $ , and the second player has cards with values $ 1 $ , $ 4 $ , $ 5 $ . Then one possible flow of the game is: - The first player chooses the card $ 3 $ . The second player chooses the card $ 1 $ . As $ 3>1 $ , the first player gets both cards. Now the first player has cards $ 1 $ , $ 2 $ , $ 3 $ , the second player has cards $ 4 $ , $ 5 $ . - The first player chooses the card $ 3 $ . The second player chooses the card $ 4 $ . As $ 3<4 $ , the second player gets both cards. Now the first player has cards $ 1 $ , $ 2 $ . The second player has cards $ 3 $ , $ 4 $ , $ 5 $ . - The first player chooses the card $ 1 $ . The second player chooses the card $ 3 $ . As $ 1<3 $ , the second player gets both cards. Now the first player has only the card $ 2 $ . The second player has cards $ 1 $ , $ 3 $ , $ 4 $ , $ 5 $ . - The first player chooses the card $ 2 $ . The second player chooses the card $ 4 $ . As $ 2<4 $ , the second player gets both cards. Now the first player is out of cards and loses. Therefore, the second player wins. Who will win if both players are playing optimally? It can be shown that one of the players has a winning strategy.

输入输出格式

输入格式

Each test contains multiple test cases. The first line contains the number of test cases $ t $ ( $ 1 \le t \le 100 $ ). The description of the test cases follows. The first line of each test case contains three integers $ n $ , $ k_1 $ , $ k_2 $ ( $ 2 \le n \le 100, 1 \le k_1 \le n - 1, 1 \le k_2 \le n - 1, k_1 + k_2 = n $ ) — the number of cards, number of cards owned by the first player and second player correspondingly. The second line of each test case contains $ k_1 $ integers $ a_1, \dots, a_{k_1} $ ( $ 1 \le a_i \le n $ ) — the values of cards of the first player. The third line of each test case contains $ k_2 $ integers $ b_1, \dots, b_{k_2} $ ( $ 1 \le b_i \le n $ ) — the values of cards of the second player. It is guaranteed that the values of all cards are different.

输出格式

For each test case, output "YES" in a separate line, if the first player wins. Otherwise, output "NO" in a separate line. You can print each letter in any case (upper or lower).

输入输出样例

输入样例 #1

2
2 1 1
2
1
5 2 3
2 3
1 4 5

输出样例 #1

YES
NO

说明

In the first test case of the example, there is only one possible move for every player: the first player will put $ 2 $ , the second player will put $ 1 $ . $ 2>1 $ , so the first player will get both cards and will win. In the second test case of the example, it can be shown that it is the second player who has a winning strategy. One possible flow of the game is illustrated in the statement.

题意翻译

有T组样例： 对于每组样例： 共有n张牌，其中hs有$l$张,zhy有$r$张， 每张牌标号i互不相同 $(1<=i<=n)$ 游戏规则： 每次两人各出一牌，牌号大的一方会得到这两张牌，直到其中一方无牌， 最后有牌的一方获胜。 给出$n,l,r$以及hs和zhy拥有的牌号，问hs是否有必胜的策略(有输出"YES",否则输出"NO"）