#include <bits/stdc++.h>
using namespace std;
int ans[105], a[105], sum[105];
int main() {
  int n, b;
  cin >> n >> b;
  for (int i = 0; i < n; i++) scanf("%d", a + i);
  int t = 0, nn = 0;
  for (int i = 0; i < n - 1; i++) {
    if (a[i] % 2)
      t++;
    else
      t--;
    if (t == 0) {
      ans[nn] = abs(a[i] - a[i + 1]);
      nn++;
    }
  }
  sort(ans, ans + nn);
  sum[0] = 0;
  for (int i = 0; i < nn; i++) sum[i + 1] = ans[i] + sum[i];
  t = nn;
  for (;; t--) {
    if (sum[t] <= b) {
      cout << t << endl;
      return 0;
    }
  }
  return 0;
}
