Mahmoud and Ehab and the MEX

Mahmoud and Ehab and the MEX

Dr. Evil kidnapped Mahmoud and Ehab in the evil land because of their performance in the Evil Olympiad in Informatics (EOI). He decided to give them some problems to let them go.

Dr. Evil is interested in sets, He has a set of n integers. Dr. Evil calls a set of integers evil if the MEX of
it is exactly x. the MEX of a set of integers is the minimum non-negative integer that doesn't exist in it. For example, the MEX of the set {0, 2, 4} is 1 and
the MEX of the set {1, 2, 3} is 0 .

Dr. Evil is going to make his set evil. To do this he can perform some operations. During each operation he can add some non-negative integer to his set or erase some element from it. What
is the minimal number of operations Dr. Evil has to perform to make his set evil?

Input

The first line contains two integers n and x (1 ≤ n ≤ 100, 0 ≤ x ≤ 100) —
the size of the set Dr. Evil owns, and the desired MEX.

The second line contains n distinct non-negative integers not exceeding 100 that represent the set.

Output

The only line should contain one integer — the minimal number of operations Dr. Evil should perform.

Example

Input

5 3
0 4 5 6 7

Output

2

Input

1 0
0

Output

1

Input

5 0
1 2 3 4 5

Output

0

Note

For the first test case Dr. Evil should add 1 and 2 to the set performing 2 operations.

For the second test case Dr. Evil should erase 0 from the set. After that, the set becomes empty, so the MEX of it is 0.

In the third test case the set is already evil.

题解：我们记比x小的数有k个，与x相等的数有t个，则ans=x-k+t 。

Code：

var
n,x,i,ans:longint;
a:array[1..1000] of longint;
procedure sort(l,r:longint);
var i,j,x,y:longint;
begin
i:=l;j:=r;x:=a[(l+r) div 2];
repeat
while a[i]<x do inc(i);
while a[j]>x do dec(j);
if not(i>j) then
begin
y:=a[i];a[i]:=a[j];a[j]:=y;
inc(i);dec(j);
end;
until i>j;
if l<j then sort(l,j);
if i<r then sort(i,r);
end;
begin
readln(n,x);
for i:=1 to n do read(a[i]);
sort(1,n);
for i:=1 to n do
if a[i]<x then inc(ans);
ans:=x-ans;
for i:=1 to n do
if a[i]=x then inc(ans);
writeln(ans);
end.