#include <bits/stdc++.h>
using namespace std;
constexpr int bits(int x) { return x == 0 ? 0 : 31 - __builtin_clz(x); }
using ll = long long;
using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
using vvll = vector<vll>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vd = vector<double>;
using vs = vector<string>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<double, double>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vpdd = vector<pdd>;
template <typename T>
void ckmin(T &a, const T &b) {
  a = min(a, b);
}
template <typename T>
void ckmax(T &a, const T &b) {
  a = max(a, b);
}
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
namespace __input {
template <class T1, class T2>
void re(pair<T1, T2> &p);
template <class T>
void re(vector<T> &a);
template <class T, size_t SZ>
void re(array<T, SZ> &a);
template <class T>
void re(T &x) {
  cin >> x;
}
void re(double &x) {
  string t;
  re(t);
  x = stod(t);
}
template <class Arg, class... Args>
void re(Arg &first, Args &...rest) {
  re(first);
  re(rest...);
}
template <class T1, class T2>
void re(pair<T1, T2> &p) {
  re(p.f, p.s);
}
template <class T>
void re(vector<T> &a) {
  for (int i = 0; i < int((a).size()); i++) re(a[i]);
}
template <class T, size_t SZ>
void re(array<T, SZ> &a) {
  for (int i = 0; i < SZ; i++) re(a[i]);
}
}  // namespace __input
using namespace __input;
namespace __output {
template <typename T>
struct is_outputtable {
  template <typename C>
  static constexpr decltype(declval<ostream &>() << declval<const C &>(),
                            bool())
  test(int) {
    return true;
  }
  template <typename C>
  static constexpr bool test(...) {
    return false;
  }
  static constexpr bool value = test<T>(int());
};
template <
    class T, typename V = decltype(declval<const T &>().begin()),
    typename second = typename enable_if<!is_outputtable<T>::value, bool>::type>
void pr(const T &x);
template <class T,
          typename V = decltype(declval<ostream &>() << declval<const T &>())>
void pr(const T &x) {
  cout << x;
}
template <class T1, class T2>
void pr(const pair<T1, T2> &x);
template <class Arg, class... Args>
void pr(const Arg &first, const Args &...rest) {
  pr(first);
  pr(rest...);
}
template <class T, bool pretty = true>
void prContain(const T &x) {
  if (pretty) pr("{");
  bool fst = 1;
  for (const auto &a : x) pr(!fst ? pretty ? ", " : " " : "", a), fst = 0;
  if (pretty) pr("}");
}
template <class T>
void pc(const T &x) {
  prContain<T, false>(x);
  pr("\n");
}
template <class T1, class T2>
void pr(const pair<T1, T2> &x) {
  pr("{", x.f, ", ", x.s, "}");
}
template <class T, typename V, typename second>
void pr(const T &x) {
  prContain(x);
}
void ps() { pr("\n"); }
template <class Arg>
void ps(const Arg &first) {
  pr(first);
  ps();
}
template <class Arg, class... Args>
void ps(const Arg &first, const Args &...rest) {
  pr(first, " ");
  ps(rest...);
}
}  // namespace __output
using namespace __output;
namespace __algorithm {
template <typename T>
void dedup(vector<T> &v) {
  sort((v).begin(), (v).end());
  v.erase(unique((v).begin(), (v).end()), v.end());
}
template <typename T>
typename vector<T>::const_iterator find(const vector<T> &v, const T &x) {
  auto it = lower_bound((v).begin(), (v).end(), x);
  return it != v.end() && *it == x ? it : v.end();
}
template <typename T>
size_t index(const vector<T> &v, const T &x) {
  auto it = find(v, x);
  assert(it != v.end() && *it == x);
  return it - v.begin();
}
template <typename I>
struct _reversed_struct {
  I &v_;
  explicit _reversed_struct(I &v) : v_{v} {}
  typename I::reverse_iterator begin() const { return v_.rbegin(); }
  typename I::reverse_iterator end() const { return v_.rend(); }
};
template <typename I>
_reversed_struct<I> reversed(I &v) {
  return _reversed_struct<I>(v);
}
}  // namespace __algorithm
using namespace __algorithm;
namespace __io {
void setIO() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout << setprecision(15);
}
}  // namespace __io
using namespace __io;
template <typename T_vector>
void output_vector(const T_vector &v, bool add_one = false, int start = -1,
                   int end = -1) {
  if (start < 0) start = 0;
  if (end < 0) end = int(v.size());
  for (int i = start; i < end; i++)
    cout << v[i] + (add_one ? 1 : 0) << (i < end - 1 ? ' ' : '\n');
}
void solve() {
  int n, m;
  re(n, m);
  vi a(m);
  re(a);
  vi b(n);
  for (int i = 0; i < m; i++) {
    b[a[i] - 1]++;
  }
  ps(*min_element(b.begin(), b.end()));
}
int32_t main() {
  setIO();
  solve();
  return 0;
}

### Prompt

Develop a solution in CPP to the problem described below:

You are given a following process. 

There is a platform with n columns. 1 × 1 squares are appearing one after another in some columns on this platform. If there are no squares in the column, a square will occupy the bottom row. Otherwise a square will appear at the top of the highest square of this column. 

When all of the n columns have at least one square in them, the bottom row is being removed. You will receive 1 point for this, and all the squares left will fall down one row. 

You task is to calculate the amount of points you will receive.

Input

The first line of input contain 2 integer numbers n and m (1 ≤ n, m ≤ 1000) — the length of the platform and the number of the squares.

The next line contain m integer numbers c_1, c_2, ..., c_m (1 ≤ c_i ≤ n) — column in which i-th square will appear.

Output

Print one integer — the amount of points you will receive.

Example

Input

3 9
1 1 2 2 2 3 1 2 3


Output

2

Note

In the sample case the answer will be equal to 2 because after the appearing of 6-th square will be removed one row (counts of the squares on the platform will look like [2~ 3~ 1], and after removing one row will be [1~ 2~ 0]).

After the appearing of 9-th square counts will be [2~ 3~ 1], and after removing one row it will look like [1~ 2~ 0].

So the answer will be equal to 2.

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
constexpr int bits(int x) { return x == 0 ? 0 : 31 - __builtin_clz(x); }
using ll = long long;
using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
using vvll = vector<vll>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vd = vector<double>;
using vs = vector<string>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<double, double>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vpdd = vector<pdd>;
template <typename T>
void ckmin(T &a, const T &b) {
  a = min(a, b);
}
template <typename T>
void ckmax(T &a, const T &b) {
  a = max(a, b);
}
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
namespace __input {
template <class T1, class T2>
void re(pair<T1, T2> &p);
template <class T>
void re(vector<T> &a);
template <class T, size_t SZ>
void re(array<T, SZ> &a);
template <class T>
void re(T &x) {
  cin >> x;
}
void re(double &x) {
  string t;
  re(t);
  x = stod(t);
}
template <class Arg, class... Args>
void re(Arg &first, Args &...rest) {
  re(first);
  re(rest...);
}
template <class T1, class T2>
void re(pair<T1, T2> &p) {
  re(p.f, p.s);
}
template <class T>
void re(vector<T> &a) {
  for (int i = 0; i < int((a).size()); i++) re(a[i]);
}
template <class T, size_t SZ>
void re(array<T, SZ> &a) {
  for (int i = 0; i < SZ; i++) re(a[i]);
}
}  // namespace __input
using namespace __input;
namespace __output {
template <typename T>
struct is_outputtable {
  template <typename C>
  static constexpr decltype(declval<ostream &>() << declval<const C &>(),
                            bool())
  test(int) {
    return true;
  }
  template <typename C>
  static constexpr bool test(...) {
    return false;
  }
  static constexpr bool value = test<T>(int());
};
template <
    class T, typename V = decltype(declval<const T &>().begin()),
    typename second = typename enable_if<!is_outputtable<T>::value, bool>::type>
void pr(const T &x);
template <class T,
          typename V = decltype(declval<ostream &>() << declval<const T &>())>
void pr(const T &x) {
  cout << x;
}
template <class T1, class T2>
void pr(const pair<T1, T2> &x);
template <class Arg, class... Args>
void pr(const Arg &first, const Args &...rest) {
  pr(first);
  pr(rest...);
}
template <class T, bool pretty = true>
void prContain(const T &x) {
  if (pretty) pr("{");
  bool fst = 1;
  for (const auto &a : x) pr(!fst ? pretty ? ", " : " " : "", a), fst = 0;
  if (pretty) pr("}");
}
template <class T>
void pc(const T &x) {
  prContain<T, false>(x);
  pr("\n");
}
template <class T1, class T2>
void pr(const pair<T1, T2> &x) {
  pr("{", x.f, ", ", x.s, "}");
}
template <class T, typename V, typename second>
void pr(const T &x) {
  prContain(x);
}
void ps() { pr("\n"); }
template <class Arg>
void ps(const Arg &first) {
  pr(first);
  ps();
}
template <class Arg, class... Args>
void ps(const Arg &first, const Args &...rest) {
  pr(first, " ");
  ps(rest...);
}
}  // namespace __output
using namespace __output;
namespace __algorithm {
template <typename T>
void dedup(vector<T> &v) {
  sort((v).begin(), (v).end());
  v.erase(unique((v).begin(), (v).end()), v.end());
}
template <typename T>
typename vector<T>::const_iterator find(const vector<T> &v, const T &x) {
  auto it = lower_bound((v).begin(), (v).end(), x);
  return it != v.end() && *it == x ? it : v.end();
}
template <typename T>
size_t index(const vector<T> &v, const T &x) {
  auto it = find(v, x);
  assert(it != v.end() && *it == x);
  return it - v.begin();
}
template <typename I>
struct _reversed_struct {
  I &v_;
  explicit _reversed_struct(I &v) : v_{v} {}
  typename I::reverse_iterator begin() const { return v_.rbegin(); }
  typename I::reverse_iterator end() const { return v_.rend(); }
};
template <typename I>
_reversed_struct<I> reversed(I &v) {
  return _reversed_struct<I>(v);
}
}  // namespace __algorithm
using namespace __algorithm;
namespace __io {
void setIO() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout << setprecision(15);
}
}  // namespace __io
using namespace __io;
template <typename T_vector>
void output_vector(const T_vector &v, bool add_one = false, int start = -1,
                   int end = -1) {
  if (start < 0) start = 0;
  if (end < 0) end = int(v.size());
  for (int i = start; i < end; i++)
    cout << v[i] + (add_one ? 1 : 0) << (i < end - 1 ? ' ' : '\n');
}
void solve() {
  int n, m;
  re(n, m);
  vi a(m);
  re(a);
  vi b(n);
  for (int i = 0; i < m; i++) {
    b[a[i] - 1]++;
  }
  ps(*min_element(b.begin(), b.end()));
}
int32_t main() {
  setIO();
  solve();
  return 0;
}

```