#include <bits/stdc++.h>
namespace FastRead {
char __buff[5000];
long long __lg = 0, __p = 0;
char nc() {
  if (__lg == __p) {
    __lg = fread(__buff, 1, 5000, stdin);
    __p = 0;
    if (!__lg) return EOF;
  }
  return __buff[__p++];
}
template <class T>
void read(T& __x) {
  T __sgn = 1;
  char __c;
  while (!isdigit(__c = nc()))
    if (__c == '-') __sgn = -1;
  __x = __c - '0';
  while (isdigit(__c = nc())) __x = __x * 10 + __c - '0';
  __x *= __sgn;
}
}  // namespace FastRead
using namespace FastRead;
using namespace std;
const long long N = 5e5 + 10;
const long long M = 1e9 + 7;
const long double PI = acos(-1);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
long long n, k;
long long a[N];
signed main() {
  long long i, s = 0;
  cin >> n >> k;
  for (i = 1; i <= n; i++) cin >> a[i], s = (s + a[i] % n) % n;
  long long mn = 0, l = 1, r = 1e9, mid = 0;
  while (l <= r) {
    mid = (l + r) / 2;
    long long op = 0;
    for (i = 1; i <= n; i++) op += max(0ll, mid - a[i]);
    if (op <= k)
      mn = mid, l = mid + 1;
    else
      r = mid - 1;
  }
  long long mx = 0;
  l = 1, r = 1e9, mid = 0;
  while (l <= r) {
    mid = (l + r) / 2;
    long long op = 0;
    for (i = 1; i <= n; i++) op += max(0ll, a[i] - mid);
    if (op <= k)
      mx = mid, r = mid - 1;
    else
      l = mid + 1;
  }
  if (mn < mx)
    cout << mx - mn;
  else
    cout << (s > 0);
  return 0;
}
