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No.1282 Display Elements

レベル : / AI推定難易度 : 1350 / 実行時間制限 : 1ケース 2.000秒 / メモリ制限 : 512 MB / 標準ジャッジ問題
タグ : (AC するまで非表示) / 解いたユーザー数 179
作問者 : platinum / テスター : leafirby
お気に入りにしたユーザー ProblemId : 4441 / 自分の提出
問題文最終更新日: 2020-11-06 22:16:25
This statement was translated by AI (claude-opus-5-5, effort medium) and may contain errors or differ in nuance from the original. The original statement takes precedence. Back to the original
yukicoder contest 273 (順位表) の他の問題:

Problem Statement

A-kun and B-kun each have $\ N\ $ cards.
The $i\ $-th cards have the positive integers $\ a_i,\ b_i\ $ written on them, respectively.
The two will now repeat the following operation. The $i\ $-th operation $(i=1,\ 2,\ \dots,\ N)$ is as follows.

・B-kun places his $\ i\ $-th card on the field. Then A-kun chooses one card from those he has not yet chosen and presents it.
・The integer written on the card A-kun presented is compared with the integers written on the cards on the field, one card at a time.
 Each time the integer written on the presented card is larger, A-kun gains $\ 1\ $ point.

Find the maximum score A-kun can obtain.


Added at 22:16: The expression "the number on the card" has been changed to "the integer written on the card".

Input

$N$
$a_1\ a_2\ \dots\ a_N$
$b_1\ b_2\ \dots\ b_N$

・All inputs are integers.
・$1 \le N \le 10^5$
・$1 \le a_i, b_i \le 10^9$

Output

Output the maximum score A-kun can obtain.

Sample

Sample 1
Input
2
1 5
3 4
Output
2

First, B-kun places his first card, with $3$ written on it, on the field.
A-kun should present $1$, but he gains no points on turn $1$.
Next, B-kun places his second card, with $4$ written on it, on the field.
A-kun presents his remaining card, with $5$ written on it. This is larger than $3$ and $4$, so he gains $2$ points.
If he presents the cards in the reverse order, he can gain only $1$ point, so output the maximum score, $2$.

Sample 2
Input
3
2 2 2
1 5 3
Output
3

In this case, the result is the same regardless of the order in which the cards are presented.

Sample 3
Input
7
3 10 7 2 5 7 1
8 5 21 9 1 6 4
Output
11

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