removeContinousFromString.cpp

#include <bits/stdc++.h>
#define ll long long
#define endl '\n'
#define loop(i,s,e) for(ll i = s; s<e ? i < e : i >= e; s<e ? i++ : i--)
#define forrr(i,s,e) for(ll i = s; i >= e; i--)
#define forr(i,s,e) for(ll i = s; i < e; i++)
#define vi vector<int>
#define vl vector<ll>
#define vvl vector<vl>
#define pll pair<ll, ll>
#define vp vector<pll>
#define ss second
#define ff first
#define pb push_back
#define pf push_front
#define all(a) a.begin(), a.end()
#define Rand(arr, n) generate_n(arr.begin(), n, random)
#define fastio() ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
#define testt ll t = 1; cin>>t; while(t--)
#define getMax(x) max_element(x.begin(),x.end())
#define getMin(x) min_element(x.begin(),x.end())
#ifndef ONLINE_JUDGE
#define debug(x) cerr << #x <<" "; _print(x); cerr << endl;
#else
#define debug(x) 
#endif
using namespace std;

template<class T> void _print(T t) {cerr << t;}
template <class T, class V> void _print(pair <T, V> p) {cerr << "{"; _print(p.ff); cerr << ","; _print(p.ss); cerr << "}";}
template <class T> void _print(vector <T> v) {cerr << "[ "; for (T i : v) {_print(i); cerr << " ";} cerr << "]";}
template <class T> void _print(set <T> v) {cerr << "[ "; for (T i : v) {_print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void _print(map <T, V> v) {cerr << "[ "; for (auto i : v) {_print(i); cerr << " ";} cerr << "]";}

template<typename F, typename S> ostream& operator <<(ostream& ostream, pair<F, S>& p) { cout << p.first << " " << p.second<<" "; return ostream; }
template<typename T> ostream& operator <<(ostream& ostream, vector<T>& v) { for(auto& element : v) cout << element << " "; return ostream;}
template<typename T> ostream& operator <<(ostream& ostream, vector<vector<T>>& v) {for(auto& row : v){ for(auto& cell : row) cout << cell << " "; cout << "\n";} return ostream;}
template<typename F, typename S> istream& operator >>(istream& istream, pair<F, S>& p) { cin >> p.first >> p.second; return istream;}
template<typename T> istream& operator >>(istream& istream, vector<T>& v) { for(auto& element : v) cin >> element; return istream; }

//vl prime(1000001);

int random(int s, int e){return s + rand() % (e - s + 1);}
int flip(int n){ forr(i,0,31){ int num = 1<<i; if(num > n) break; n = n xor num;} return n; }
ll power(ll x, ll y){ ll res = 1; while (y > 0){ if (y & 1) res = (ll)(res*x); y = y>>1; x = (ll)(x*x); } return res; }
vp countArr(string &arr, ll n){ vp v1; forr(i,0,n-1){ ll cnt = 1; while(i < n-1 && arr[i] == arr[i+1]){ cnt++, i++; } v1.pb({arr[i], cnt}); } if((n > 1 && arr[n-1] != arr[n-2]) || n == 1) v1.pb({arr[n-1], 1}); return v1;}
ll gcd(ll a, ll b){if(b == 0) return a; return gcd(b, a%b);};
vl factors(ll n){ vl fac; for (ll i = 1; i * i <= n; i++){ if (n % i == 0){ fac.pb(i); if (i * i != n)fac.pb(n / i); } } return fac; }
ll maxPow2(ll n){n |= n >> 1; n |= n >> 2; n |= n >> 4; n |= n >> 8; n |= n >> 16; return (n + 1);}
//vl sieve(){vl primes; for(ll i=0;i<1000001;i++) prime[i]=true; for(ll i=2;i<1000001;i++){ if(!prime[i]) continue; primes.pb(i); for(ll j=2;i*j<1000001;j++) prime[i*j]=false;} return primes;}
vp primeFactors(ll n){ vp v; for (ll j = 2; j <= sqrtl(n); j++){ ll cnt = 0; while(n%j == 0) n /= j, cnt++; if(cnt)v.pb({j,cnt}); } if(n!=1) v.pb({n,1}); return v;}

// max Score when u remove continous same characters and add len*len to ans, where len is lenght of characters removed;
vector<vvl> dp;
ll rec(ll l, ll r, vp &arr, ll last){
    if(l > r) return 0;
    if(l == r) return arr[l].ss*arr[r].ss;
    if(dp[l][r][last] != -1) return dp[l][r][last];

    ll ans = 1 + rec(l+1, r, arr, arr[l+1].ss);
    for(ll i = l +1; i <= r; i++){
        if(arr[l].ff == arr[i].ff){
            arr[i].ss += arr[l].ss;
            ans = max(ans, rec(l+1, i-1, arr, arr[l+1].ss) + rec(i, r, arr, arr[i].ss));
            arr[i].ss -= arr[l].ss;
        }
    }

    return dp[l][r][last] = ans;
}

void solve(){
    string s; cin>>s;
    ll n = s.size();
    vp arr = countArr(s, n);
    n = arr.size();
    dp = vector<vvl>(n, vvl(n, vl(n+1, -1)));
    cout<<rec(0, n-1, arr, arr[0].ss)<<endl;
}

int main(){
fastio(); srand(time(NULL));
testt{ solve(); }
return 0;
}
/* use __lg(number) to get nearest power of 2 -> 8,9,10..15 returns 3, 16-31 returns 4*/