Problem:
Score : 600 points

Problem Statement

There is a game that involves three variables, denoted A, B, and C.

As the game progresses, there will be N events where you are asked to make a choice.
Each of these choices is represented by a string s_i. If s_i is AB, you must add 1 to A or B then subtract 1 from the other; if s_i is AC, you must add 1 to A or C then subtract 1 from the other; if s_i is BC, you must add 1 to B or C then subtract 1 from the other.

After each choice, none of A, B, and C should be negative.

Determine whether it is possible to make N choices under this condition. If it is possible, also give one such way to make the choices.

Constraints

1 \leq N \leq 10^5

0 \leq A,B,C \leq 10^9

N, A, B, C are integers.

s_i is AB, AC, or BC.

Input

Input is given from Standard Input in the following format:

N A B C
s_1
s_2
:
s_N

Output

If it is possible to make N choices under the condition, print Yes; otherwise, print No.

Also, in the former case, show one such way to make the choices in the subsequent N lines. The (i+1)-th line should contain the name of the variable (A, B, or C) to which you add 1 in the i-th choice.

Sample Input 1

2 1 3 0
AB
AC

Sample Output 1

Yes
A
C

You can successfully make two choices, as follows:

In the first choice, add 1 to A and subtract 1 from B. A becomes 2, and B becomes 2.

In the second choice, add 1 to C and subtract 1 from A. C becomes 1, and A becomes 1.

Sample Input 2

3 1 0 0
AB
BC
AB

Sample Output 2

No

Sample Input 3

1 0 9 0
AC

Sample Output 3

No

Sample Input 4

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB

Sample Output 4

Yes
C
B
B
C
C
B
A
A

Solution in C++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define fi first
#define se second
#define pb push_back
#define pii pair<int,int>
#define pll pair<long long,long long>
#define all(v) v.begin(), v.end()
using namespace std;

ll n,a,b,c,s[3];
string ins,mvs;
vector< string > pend;

void fn(){
    while( n-- ){
            cin >> ins;
            if( ins=="AB" ){
                if( !s[0] && !s[1] ){
                    cout << "A\n";
                    s[0]++; s[1]--;
                }else{
                    if( s[0]==-1 ){
                        cout << "A\n";
                        s[0]++; s[1]--;
                    }else{
                        cout << "B\n";
                        s[1]++; s[0]--;
                    }
                }
            }
            if( ins=="AC" ){
                if( !s[0] && !s[2] ){
                    cout << "A\n";
                    s[0]++; s[2]--;
                }else{
                    if( s[0]==-1 ){
                        cout << "A\n";
                        s[0]++; s[2]--;
                    }else{
                        cout << "C\n";
                        s[2]++; s[0]--;
                    }
                }
            }
            if( ins=="BC" ){
                if( !s[1] && !s[2] ){
                    cout << "B\n";
                    s[1]++; s[2]--;
                }else{
                    if( s[1]==-1 ){
                        cout << "B\n";
                        s[1]++; s[2]--;
                    }else{
                        cout << "C\n";
                        s[2]++; s[1]--;
                    }
                }
            }
        }
        return;
}

int main()
{

    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> n >> a >> b >> c;

    if( a>=1 && b>=1 && c>=1 ){
        cout << "Yes\n";
        fn();
        return 0;
    }

    if( !a && !b && !c ){
        cout << "No"; return 0;
    }

    while( n-- ){
            if( a < 0 || b < 0 || c < 0 ){
                cout << "No";
                return 0;
            }

        if( a>=1 && b>=1 && c>=1 ){
            cout << "Yes\n";
            for(auto m:mvs) cout << m << "\n";
            n++;
            fn();
            return 0;
        }

        cin >> ins;
            if( ins=="AB" ){

                if( !a || ( a>0 && a < b ) ){
                    mvs.pb( 'A' );
                    a++; b--;
                    continue;
                }
                if( !b || ( b>0 && b < a ) ){
                    mvs.pb( 'B' );
                    b++; a--;
                    continue;
                }

                pend.clear();
                pend.pb( ins );
                while( n-- ){
                    cin >> ins;
                    pend.pb( ins );
                    if( pend[ pend.size()-1 ]!=pend[ 0 ] ) break;
                }

                if( pend[ pend.size()-1 ]==pend[ 0 ] ){
                    cout << "Yes\n";
                    for( auto m:mvs ) cout << m << "\n";
                    for(ll i=0; i<pend.size(); i++) cout << pend[i][ i%2 ] << "\n";
                    return 0;
                }else{
                    if( (pend.size()-1)%2==0 ){
                        for(ll i=0; i+1<pend.size(); i++) mvs.pb( pend[i][ i%2 ] );
                        if( pend[ pend.size()-1 ][0]=='A' ){
                            a--;
                        }else{
                            b--;
                        }
                        c++;
                    }else{
                        if( pend[ pend.size()-1 ][ 0 ]=='A' ){
                             for(ll i=0; i+1<pend.size(); i++) mvs.pb( pend[i][ i%2 ] );
                             b--;
                             c++;
                        }else{
                             for(ll i=0; i+1<pend.size(); i++) mvs.pb( pend[i][ 1-i%2 ] );
                             a--;
                             c++;
                        }
                    }
                    mvs.pb( 'C' );
                }
                continue;
            }
            if( ins=="AC" ){
                if( !a || ( a>0 && a < c ) ){
                    mvs.pb( 'A' );
                    a++; c--;
                    continue;
                }
                if( !c || ( c>0 && c < a ) ){
                    mvs.pb( 'C' );
                    c++; a--;
                    continue;
                }

                pend.clear();
                pend.pb( ins );
                while( n-- ){
                    cin >> ins;
                    pend.pb( ins );
                    if( pend[ pend.size()-1 ]!=pend[ 0 ] ) break;
                }

                if( pend[ pend.size()-1 ]==pend[ 0 ] ){
                    cout << "Yes\n";
                    for( auto m:mvs ) cout << m << "\n";
                    for(ll i=0; i<pend.size(); i++) cout << pend[i][ i%2 ] << "\n";
                    return 0;
                }else{
                    if( (pend.size()-1)%2==0 ){
                        for(ll i=0; i+1<pend.size(); i++) mvs.pb( pend[i][ i%2 ] );
                        if( pend[ pend.size()-1 ][0]=='A' ){
                            a--;
                        }else{
                            c--;
                        }
                        b++;
                    }else{
                        if( pend[ pend.size()-1 ][ 0 ]=='A' ){
                             for(ll i=0; i+1<pend.size(); i++) mvs.pb( pend[i][ i%2 ] );
                             c--;
                             b++;
                        }else{
                             for(ll i=0; i+1<pend.size(); i++) mvs.pb( pend[i][ 1-i%2 ] );
                             a--;
                             b++;
                        }
                    }
                    mvs.pb( 'B' );
                }
                continue;
            }
            if( ins=="BC" ){
                if( !b || ( b>0 && b < c ) ){
                    mvs.pb( 'B' );
                    b++; c--;
                    continue;
                }
                if( !c || ( c>0 && c < b ) ){
                    mvs.pb( 'C' );
                    c++; b--;
                    continue;
                }

                pend.clear();
                pend.pb( ins );
                while( n-- ){
                    cin >> ins;
                    pend.pb( ins );
                    if( pend[ pend.size()-1 ]!=pend[ 0 ] ) break;
                }

                if( pend[ pend.size()-1 ]==pend[ 0 ] ){
                    cout << "Yes\n";
                    for( auto m:mvs ) cout << m << "\n";
                    for(ll i=0; i<pend.size(); i++) cout << pend[i][ i%2 ] << "\n";
                    return 0;
                }else{
                    if( (pend.size()-1)%2==0 ){
                        for(ll i=0; i+1<pend.size(); i++) mvs.pb( pend[i][ i%2 ] );
                        if( pend[ pend.size()-1 ][1]=='B' ){
                            b--;
                        }else{
                            c--;
                        }
                        a++;
                    }else{
                        if( pend[ pend.size()-1 ][ 1 ]=='B' ){
                             for(ll i=0; i+1<pend.size(); i++) mvs.pb( pend[i][ i%2 ] );
                             c--;
                             a++;
                        }else{
                             for(ll i=0; i+1<pend.size(); i++) mvs.pb( pend[i][ 1-i%2 ] );
                             b--;
                             a++;
                        }
                    }
                    mvs.pb( 'A' );
                }
                continue;
            }

            if( a < 0 || b < 0 || c < 0 ){
                cout << "No";
                return 0;
            }
    }

    if( a < 0 || b < 0 || c < 0 ){
                cout << "No";
                return 0;
            }
    cout << "Yes\n";
    for(auto m:mvs) cout << m << "\n";
    return 0;
}

/*
2 0 1 1
BC
AB
*/