A_Casimir_s_String_Solitaire.cpp

#include <bits/stdc++.h>

using namespace std;


// Debugg
// #define error(args...) { string _s = #args; replace(_s.begin(), _s.end(), ',', ' '); stringstream _ss(_s); istream_iterator<string> _it(_ss); err(_it, args); }
// void err(istream_iterator<string> it) {}
// template<typename T, typename... Args>
// void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; err(++it, args...);}

// < ---- DATA-TYPE --->
#define int long long
#define ar array
#define ll long long
#define str string 
#define II int,int
#define CI char,int


//  <  ---- vectors ---- >
#define vi vector<int>
#define vii vector<pair<int,int>>
#define vvi vector<vector<int>>
#define VS vector<string> 
#define pii pair<int, int>



//     <---- maps ---- >
#define UM unordered_map
#define MII map<int,int>
#define MCI map<char,int>
#define MIV map<int,vector<int>>

//     < ---- set ---- >
#define US unordered_set
#define MS multiset
#define SI set<int> 
#define SC set<char>
#define SS set<string>

#define lb lower_bound
#define ub upper_bound
#define endl "\n"
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define sz(container) container.size()

 //            < -- L - O - O - P - S -- >
#define f(x,v) for(auto &x:v)
#define fl(a,b) for (ll i = a; i <= (ll)b; i++)
#define cfl(a,b,i) for (ll i = a; i <= (ll)b; i++) 

#define fo(i,n) for(ll i = 0LL ; i < (ll)n ; i++)
#define rfo(i,n) for(ll i = (ll)(n-1) ; i >= 0LL ; i--)

#define ff(n) fo(i,n)
#define rff(n) for(ll i = (ll)(n-1) ; i >= 0LL ; i--)

#define FOR(n) ff(n)
#define RFOR(n) for(ll i = (ll)(n-1) ; i >= 0LL ; i--)



#define IOS ios_base::sync_with_stdio(0); //to synchronize the input of cin and scanf
#define PI 3.1415926535897932384626
const int MAX_N = 1e5 + 1;
const ll MOD = 1e9 + 7;
const ll INF = 1e9;
const ll INFLL = numeric_limits<long long>::max();
#define F first
#define S second
#define t_case   int t {} ; cin >> t ; while(t--) 
#define FAST  ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
#define all(x)  (x).begin() , (x).end()
#define allr(a)  (a).rbegin(),(a).rend()

// < ----- TOOLS ----- > 
#define st(v) sort(all(v)) ;
#define strev(c) sort(all(c)); reverse(all(c))
#define SZ(c) (int)(c).size()
#define sum(x) accumulate(all(x),0LL)
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define index(x,v)  find(all(v),x) - v.begin()
// * Only use logN when elemet is surely presernt 
#define indexLogN(x,container) lower_bound(all(container),x) - v.begin() ;


#define take_vector(size,vector_name,type)  vector<type> vector_name(size) ;  fl(0LL,size-1){ cin >> vector_name[i] ;} 
#define tv(size,vector_name,type)  vector<type> vector_name(size) ;  fl(0LL,size-1){ cin >> vector_name[i] ;} 
#define take_set(from,set_name,type) set<type> set_name; for(auto &x:from){ set_name.insert(x);}
#define frequency_maper(from,map_name,type) map<type,ll> map_name ; f(x,from){ map_name[x]++ ;}
#define hash_alpha_Lower(string_name,hash_name) vi hash_name(27,0) ;f(x,string_name) { hash_name[(x-'a'+1)]++; }
#define hash_alpha_Upper(string_name,hash_name) vi hash_name(27,0) ;f(x,string_name) { hash_name[(x-'A'+1)]++; }

// #define pi std::numbers::pi
#define bit bitset<64> 

//  <----- Print ----- >
#define ln cout << "\n-----------------------------------\n" ;
#define nl cout << "\n" ;
// #define print(x) for(auto &val : x){ cout << val << " " ;} cout << "\n" ;
#define print_map(map_name) f(elements,map_name){ cout << elements.first << " --> " << elements.second <<"\n" ; } cout << "\n" ;
#define print_2D(vector_name) f(x,vector_name){ f(y,x){ cout << y << " " ;} cout << "\n" ;}


// find if a given value is present in a container. Container version. Runs in log(n) for set and map
#define present(container,key) ((container).find(key) != (container).end())

//find version works for all containers. This is present in std namespace.
#define cpresent(container,key) (find(all(container),key) != (container).end())

//             <--- M - A - T - H - S --->
bool isprime(ll n){for(ll i=2;i*i<=n;++i){if(n%i==0){return false;}}return true;}
ll factorial(ll n){return (n==1 || n==0) ? 1:n*factorial(n-1);}
ll power_Mod(ll a, ll b){ll res=1;while(b>0){if(b&1){res=(res*a)%MOD;}a=(a*a)%MOD;b =b>>1;}return (res)%MOD;}
ll power(ll a, ll b){ll res=1;while(b>0){if(b&1){res=(res*a);}a=(a*a);b =b>>1;}return (res);}
bool ispow2(int i) { return i && (i & -i) == i; }
ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}

// <----- Read / Write ---->
void read () { }
template <typename T, typename... Args>
void read (T& t, Args&... args) {	cin >> t;	read(args...);}

void write () { }
template <typename T, typename... Args>
void write (T& t, Args&... args) {	cout << t << " ";	write(args...);}

void write_error () { }
template <typename T, typename... Args>
void write_error (T& t, Args&... args) {	cerr << t << " ";	write_error(args...);}

#define RD read
#define WR write 
#define WRE write_error


template <typename T>
void prt(T& t){  cout << t << " "<< endl;}

template <typename T , typename U>
void prt(pair<T,U> &p){ cout << "(" << p.F << "," << p.S  << ") " ;}



template <typename T>
void prt(vector<T> v) {cout << "[" ; for(auto x:v){ cout << x << " ";} cout << "]" ;nl } ;
void prt(vii v) {cout << "[" ; for(auto x:v){cout << "[" <<x.F << " " << x.S << "] "; } cout << "]" ;nl } ;
void prt(vvi v) {cout << "\n" ; for(auto x:v){ cout << "["  ; for(auto y:x){ cout << y << " " ; }cout << "]" ; nl;} cout << "\n" ;} ;

template <typename T>
void prt(vector<set<T>> v) { for(auto x:v){cout << "[ " ; for(auto y:x){ cout << y << " ";} cout <<   "]\n";  };}


template <typename T, typename U>
void prt(map<T,U> &m){nl for(auto x:m){cout << x.F << " ---> " << x.S << "\n"; } nl } ;

template <typename T>
void prt(set<T> &s) {nl for(auto x:s){  prt(x) ; cout << " "; } nl ;} ; 

// template <typename T>
// void prt(set<T> &s) {nl f(x,s){ cout << (x) << " "; } nl ;} ; 

template <typename T>
void prt(stack<T> s){ while(!s.empty()){ cout << s.top() << " " ; s.pop();};}

template <typename U>
void ptr(queue<U> q){ while(!q.empty()){ cout << q.front() << " " ; q.pop();};}



/* -------------------------------ERROR STR----------------------------------- */

// template <typename T>
// void prte(T t);
template <typename T>
void prte(T t){ cerr << t << " "<< endl;}

template <typename T , typename U>
void prte(pair<T,U> &p){ cerr << "(" << p.F << "," << p.S  << ") " ;}


template <typename T>
void prte(vector<T> v) { cerr << "[ " ; for(auto x:v){cerr << x << " ";} cerr<<" ] \n" ; } ;
void prte(vii v) { cerr << "[ " ; for(auto x:v){cerr << "[ " <<x.F << " " << x.S << " ] "; } cerr<<" ] \n" ; } ;
void prte(vvi v) {cerr<<"\n";  for(auto x:v){ cerr<<"[ " ; for(auto y:x){ cerr << y << " " ; } WRE(" ]"); cerr<<"\n" ;} cerr<<"\n"  ;} ;

template <typename T, typename U>
void prte(map<T,U> m){ cerr << "MAP :::\n" ; for(auto x:m){cerr << x.F << " ---> " << x.S << "\n"; }cerr << "\n" ;  } ;

template <typename T>
void prte(set<T> s) {cerr << "[ " ;  for(auto x:s){ cerr << (x) << " "; } cerr << " ]" ; cerr<<"\n" ;} ;  

template <typename T>
void prte(stack<T> s){ cerr << "[ " ; while(!s.empty()){ cerr<< s.top() << " " ; s.pop();} cerr <<"]\n";}

template <typename U>
void ptre(queue<U> q){cerr << "[ "  ; while(!q.empty()){ cerr << q.front() << " " ; q.pop();};cerr <<"]\n";}


// ____________ MASTER PRINT________________________// 
// Print Supported --> Maps , Sets , Vector , Vector of Vector , Vector of pair , All premitive data types 
// !!!!!! Queue not supported yet , use ptre , ptr for Queue...
void mprt () { }
template <typename T, typename... Args>
void mprt (T& t, Args&... args) {	prt(t) ;	mprt(args...);}

// #define print(x) for(auto &val : x){ prt(val) ;} cout << "\n" ;
#define print(x) prt(x) ;


/*__________________  MASTER ERROR _____________________ */
// !!!!!! queue not supported yet , use ptre , ptr for quee ...
void mprte () { }
template <typename T, typename... Args>
void mprte (T& t, Args&... args) {	prte(t) ;	mprte(args...);}


/* -------------------------------------------------------------------------- */
/*                                 SUPER DEBUG                                */
/* -------------------------------------------------------------------------- */
#define error(args...) { string _s = #args; replace(_s.begin(), _s.end(), ',', ' '); stringstream _ss(_s); istream_iterator<string> _it(_ss); err(_it, args); }
void err(istream_iterator<string> it) {}
template<typename T, typename... Args>
void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " ; mprte(a) ; ; err(++it, args...);}


#define dbg error
// <------ Sol starts ---> 



signed main()
{
    FAST 
    t_case
    {  
       string s ; cin >> s ;
       map<char,int> m ;
       f(x,s){m[x]++ ;}
       bool c = false ;

       if(m['B'] !=0 ) {
           
           if(m['C'] != 0 and m['A'] != 0){
                c = m['A'] + m['C'] == m['B'] ;
           }

           else if(m['C'] == 0 and m['A'] != 0){
               c = m['A'] == m['B'] ;
           }

           else if(m['A'] == 0 and m['C']!=0){
               c = m['C'] == m['B'] ;
           }

           else if(m['B']==0 and (m['A']!=0 or m['C']!=0)){
               c = false ;
           } 
       } 


       if(c){ cout << "YES\n" ;} else { cout << "NO\n" ;}

       



    }
}