#include<bits/stdc++.h>
using namespace std;using ld=long double;using ll=long long;
using pll=pair<ll,ll>;using pii=pair<int,int>;
const int M=1e9+7,P=26;const ld eps=1e-8,pi=acos(-1);const ll inf=1e17;
void tmax(ll&a,ll b){a=max(a,b);}
struct KMP
{
    int n;vector<int>nxt,sb,dep;vector<vector<int>>tr;
    void solve(string&s,int len)
    {
        n=s.length();sb.resize(n+2,0);dep=nxt=sb;sb[n+1]=-1;nxt[0]=-1;
        tr.resize(n+1,vector<int>(P,0));for(int i=1;i<=n;i++)sb[i]=s[i-1]-'a';
        for(int i=1,x;i<=n;i++)
        {
            for(x=i-1;x&&sb[nxt[x]+1]!=sb[i];x=nxt[x]);
            nxt[i]=nxt[x]+1;dep[i]=dep[nxt[i]]+1;
        }
        for(int i=0;i<=n;i++)
        {
            for(int j=0;j<P;j++)
            {
                int x;
                for(x=i;x!=-1&&sb[x+1]!=j;x=nxt[x]);
                tr[i][j]=x+1;
            }
        }
        //for(int i=0;i<=n;i++)
        //{
            //cout<<i<<'/'<<nxt[i]<<'/'<<dep[i]<<'\n';
            //for(int j=0;j<P;j++)cout<<tr[i][j]<<".\n"[j==P-1];
        //}
        nxt[0]=0;vector<vector<ll>>dp(len+1,vector<ll>(n+1,-inf));dp[0][0]=0;
        ll res=0;
        for(int i=1;i<=len;i++)
        {
            for(int j=0;j<=n;j++)
            {
                for(int k=0;k<P;k++)
                {
                    int x=tr[j][k];
                    tmax(dp[i][x],dp[i-1][j]+dep[x]);
                }
            }
        }
        for(int j=0;j<=n;j++)tmax(res,dp[len][j]);cout<<res<<'\n';
    }
};
struct S
{
    int n;string s;KMP A;
    void ini()
    {
        cin>>s>>n;A.solve(s,n);
    }
    void solve()
    {

    }
};
signed main()
{
    //cout<<fixed<<setprecision(12);
    ios::sync_with_stdio(0);cin.tie(0);
    int t=1;//cin>>t;
    while(t--){S SS;SS.ini();SS.solve();}
}