#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
#include<string>
#include<vector>
#include<stack>
#include<bitset>
#include<cstdlib>
#include<cmath>
#include<set>
#include<list>
#include<deque>
#include<map>
#include<queue>
#define INF 0x3f3f3f3f;
#define ll long long
ll gcd(ll p,ll q){return q==0?p:gcd(q,p%q);}
using namespace std;
const int manx=1e5+10;
int main()
{
    int n,m,a[110],ans=0,cnt1=0,cnt2=0,b[110],c=0,sum=0;
    cin>>n>>m;
    for(int i=0; i<n; i++)
        cin>>a[i];
    for(int i=0; i<n; i++)
    {
        if(a[i]%2) cnt1++;
        else cnt2++;
        if(cnt1==cnt2&&i+1<n)
            b[c++]=abs(a[i]-a[i+1]);
    }
    sort(b,b+c);
    for(int i=0; i<c; i++)
    {
        sum+=b[i];
        if(sum<=m)
            ans++;
        else break;
    }
    cout<<ans;
    return 0;
}

Cutting Codeforces Round #493 (Div. 2)