You are given an array of positive integers a1, a2, ..., an × T of length n × T. We know that for any i > n it is true that ai = ai - n. Find the length of the longest non-decreasing sequence of the given array.

Input

The first line contains two space-separated integers: n, T (1 ≤ n ≤ 100, 1 ≤ T ≤ 107). The second line contains n space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 300).

Output

Print a single number — the length of a sought sequence.

Examples

Input

4 3
3 1 4 2


Output

5

Note

The array given in the sample looks like that: 3, 1, 4, 2, 3, 1, 4, 2, 3, 1, 4, 2. The elements in bold form the largest non-decreasing subsequence. 
#include <bits/stdc++.h>
using namespace std;
template <class T>
T Mul(T x, T y, T P) {
  T F1 = 0;
  while (y) {
    if (y & 1) {
      F1 += x;
      if (F1 < 0 || F1 >= P) F1 -= P;
    }
    x <<= 1;
    if (x < 0 || x >= P) x -= P;
    y >>= 1;
  }
  return F1;
}
template <class T>
T Pow(T x, T y, T P) {
  T F1 = 1;
  x %= P;
  while (y) {
    if (y & 1) {
      F1 = Mul(F1, x, P);
    }
    x = Mul(x, x, P);
    y >>= 1;
  }
  return F1;
}
template <class T>
T Gcd(T x, T y) {
  if (y == 0) return x;
  T z;
  while (z = x % y) {
    x = y, y = z;
  }
  return y;
}
template <class T>
void UpdateMin(T &x, T y) {
  if (y < x) {
    x = y;
  }
}
template <class T>
void UpdateMax(T &x, T y) {
  if (x < y) {
    x = y;
  }
}
template <class T>
T Sqr(const T x) {
  return x * x;
}
template <class T>
T Abs(const T x) {
  return x < 0 ? -x : x;
}
class ReadBuffer {
 private:
  char buff[20000000];
  char *buf;

 public:
  void init(int size = 20000000) {
    fread(buff, 1, size, stdin);
    buf = buff;
  }
  template <class T>
  bool readInteger(T &x) {
    x = 0;
    while (*buf && isspace(*buf)) ++buf;
    if (*buf == 0) return false;
    static bool flag;
    flag = 0;
    if (*buf == '-')
      flag = true;
    else
      x = *buf - '0';
    while (isdigit(*++buf)) x = x * 10 + *buf - '0';
    if (flag) x = -x;
    return true;
  }
  template <class T>
  bool readFloat(T &x) {
    long double nowpos = 0.1;
    x = 0;
    while (*buf && isspace(*buf)) ++buf;
    if (*buf == 0) return false;
    static bool flag, decimal;
    decimal = flag = 0;
    if (*buf == '-')
      flag = true, ++buf;
    else if (*buf == '.')
      decimal = true;
    while (isdigit(*buf) || *buf == '.') {
      if (*buf == '.')
        decimal = true;
      else {
        if (decimal) {
          x += nowpos * (*buf - '0');
          nowpos *= 0.1;
        } else {
          x = x * 10 + *buf - '0';
        }
      }
      ++buf;
    }
    return true;
  }
  bool readChar(char c) {
    if (*buf == 0) return 0;
    return c = *buf++, 1;
  }
  bool readString(char *s) {
    while (*buf && isspace(*buf)) ++buf;
    if (!*buf) return false;
    while (!isspace(*buf)) *s++ = *buf++;
    *s++ = 0;
    return true;
  }
  int countSpacetonext() {
    int total = 0;
    while (*buf && *buf == ' ') ++total, ++buf;
    return total;
  }
  bool splitBycharactor(char *s, char Split = '\n') {
    while (*buf && *buf != Split) *s++ = *buf++;
    *s++ = 0;
    return *buf != 0;
  }
};
struct EDGE {
  int T;
  EDGE *Nxt;
};
int n, T;
int a[101];
int ans[101];
int rm;
int cnt[401];
int main() {
  scanf("%d%d", &n, &T);
  rm += max(T - n, 0);
  T = min(n, T);
  for (int i = 0; i < (n); ++i) cin >> a[i], ++cnt[a[i]];
  for (int i = 0; i < T; ++i) {
    for (int j = 0; j < n; ++j) {
      ++ans[j];
      for (int k = 0; k < n; ++k)
        if (k != j && a[k] <= a[j]) {
          ans[j] = max(ans[j], ans[k] + 1);
        }
    }
  }
  int anss = 0;
  for (int i = 0; i < (n); ++i) {
    anss = max(anss, ans[i] + rm * (*max_element(cnt, cnt + 350)));
  }
  cout << anss << endl;
  return 0;
}
