#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
inline int power(int a, int b, int mod=M) {
int x = 1;
a %= mod;
while (b) {
if (b & 1) x = (x * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return x;
}
//_ ***************************** START Below *******************************
string a;
int consistency(int n, int k){
vector<vector<vector<int>>> dp(n, vector<vector<int>>(n, vector<int>(k+1, 1)));
for(int p=0; p<=k; p++){
for(int gap=0; gap<n; gap++){
for(int i=0, j=gap; j<n; i++, j++){
if(gap == 0){
dp[i][j][p] = 1;
}
else if(gap == 1){
int d1 = abs(a[i] - a[j]);
int d = min(d1, 26-d1);
if(p>=d){
dp[i][j][p] = 2;
}
else{
dp[i][j][p] = 1;
}
}
else{
int d1 = abs(a[i] - a[j]);
int d = min(d1, 26-d1);
dp[i][j][p] = max(dp[i+1][j][p], dp[i][j-1][p]);
if(a[i] == a[j]){
dp[i][j][p] = max(dp[i][j][p], 2 + dp[i+1][j-1][p]);
}
else if(p-d>=0){
dp[i][j][p] = max(dp[i][j][p], 2 + dp[i+1][j-1][p-d]);
}
}
}
}
}
return dp[0][n-1][k];
}
int practice(int n, int k){
return 0;
}
void solve() {
cin >> a;
int n = a.size();
int k;
cin >> k;
cout << consistency(n, k) << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}
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