codeforce 886C Petya and Catacombs （map，思路）

突然发现百度不到这题的单独题解（果然是因为这是水题么），那我就来写一个了~

先把题给贴了。

C. Petya and Catacombs

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

A very brave explorer Petya once decided to explore Paris catacombs. Since Petya is not really experienced, his exploration is just walking through the catacombs.

Catacombs consist of several rooms and bidirectional passages between some pairs of them. Some passages can connect a room to itself and since the passages are built on different depths they do not intersect each other. Every minute Petya arbitrary chooses a passage from the room he is currently in and then reaches the room on the other end of the passage in exactly one minute. When he enters a room at minute i, he makes a note in his logbook with number ti:

• If Petya has visited this room before, he writes down the minute he was in this room last time;
• Otherwise, Petya writes down an arbitrary non-negative integer strictly less than current minute i.

Initially, Petya was in one of the rooms at minute 0, he didn't write down number t0.

At some point during his wandering Petya got tired, threw out his logbook and went home. Vasya found his logbook and now he is curious: what is the minimum possible number of rooms in Paris catacombs according to Petya's logbook?

Input

The first line contains a single integer n (1 ≤ n ≤ 2·105) — then number of notes in Petya's logbook.

The second line contains n non-negative integers t1, t2, ..., tn (0 ≤ ti < i) — notes in the logbook.

Output

In the only line print a single integer — the minimum possible number of rooms in Paris catacombs.

Examples

input

2
0 0

output

2

input

5
0 1 0 1 3

output

3

Note

In the first sample, sequence of rooms Petya visited could be, for example 1 → 1 → 2, 1 → 2 → 1 or 1 → 2 → 3. The minimum possible number of rooms is 2.

In the second sample, the sequence could be 1 → 2 → 3 → 1 → 2 → 1.

我来讲讲我的思路吧。

题意就是，有一堆可以互相连通的房间，一个人在0时刻处于0号房间。他在走到下一个房间后会记录下一个数字。数字有两种情况：

1、在第i秒走到一个新的房间（以前没走到过）时，就随便记录一个比i小的数。

2、要是走到的是以前到过的房间，那么就记录下上次走到那个房间的时间。

他给出记录的数字，要求出符合描述的最少房间是多少。

对于这道题，每一个数字都要有两种情况的考虑—是新的房间呢？还是之前走过的呢？。因为要求房间尽量少，所以我们优先考虑情况2.

如果存在满足2条件的房间，那么就看成这个数字代表的是去到这个房间。若找不到这样的房间，就只能是情况1了。

我是用map来表示了是否存在最后逗留时间为某i秒的房间。但其实用一个bool类型的一位数组应该就可以了。

#include<iostream>
#include<map>
using namespace std;
map<int,int> mp;
int main()
{
    int i,j,ans,n,k;
    cin>>n;
    ans=1;
    mp.clear();
    mp[0]++;
    for(i=1;i<=n;i++)
    {
        cin>>k;
        if(mp[k]!=0)
        {
            mp[k]--;
            mp[i]++;
        }
        else 
        {
            mp[i]++;
            ans++;
        }
    }
    cout<<ans;
 }