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)

/*~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=
*$* WRITER:kakitamasziru/OxOmisosiru *$*
~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=*/
#ifdef LOCAL_JUDGE
#define _GLIBCXX_DEBUG //FOR THE DEBUG! COMMENT OUT THIS WHEN SUBMITTING!
#endif
#include <iostream> // cout, endl, cin
#include <string> // string, to_string, stoi
#include <vector> // vector
#include <algorithm> // min, max, swap, sort, reverse, lower_bound, upper_bound
#include <utility> // pair, make_pair
#include <tuple> // tuple, make_tuple
#include <cstdint> // int64_t, int*_t
#include <iomanip>
#include <limits>//setprecision
//#include <cstdio> // printf
#include <map> // map
#include <queue> // queue, priority_queue
#include <set> // set
#include <stack> // stack
#include <deque> // deque
#include <math.h>//pow,,,
#include <cmath>//abs,,,
#include <bitset> // bitset
//It is so troublesome that I include bits/stdc++.h !
using namespace std;

template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
const long long INF = 100100100100;
const long long MOD = 1000000007;
typedef pair<long long,long long> P;
//NのM乗を求める(繰り返し二乗法)
long long mod_pow(long long N, long long M) {
    if (M == 0) return 1;
    long long res = mod_pow((N * N) % MOD, M / 2);
    //最下位ビット(*N)が1の時は単独でNをかける
    if (M & 1) res = (res * N) % MOD;

    return res %= MOD;
}
long long nCr(long long n, long long r) {
    long long A = 1, B = 1;
    //Aが分子Bが1/r!
    for (long long i = n - r + 1; i <= n; i++) {
        A = A * i % MOD;
    }
    for (long long i = 1; i <= r; i++) {
        B = B * i % MOD;
    }
    B = mod_pow(B, MOD - 2);
    B %= MOD;
    //Bは割るのではなく掛ける
    return (A * B) % MOD;
}

long long gcd(long long a, long long b) {
    if (b == 0) return a;
    else return gcd(b, a % b);
}
 
long long lcm(long long a, long long b) {
    return a * b / gcd(a, b);
}

//long long A,B;
bool ok(long long key,long long index){
    if(index > key) return true;
    else if(index <= key) return false;
}
long long binary_search(long long key,long long size){
    //left,right,midはいずれもindex
    long long left = -1,right = size;
    while(right - left > 1){
        long long mid = left + (right-left)/2;
        long long hantei = ok(key,mid);
        if(hantei) right = mid;
        else left = mid;
    }
    if(left == -1)return 0;
    return left;
}

int main() {
    int N;cin >> N;
    long long A,B,C;cin >> A >> B >> C;
    long long D,E,F;D = A;E = B;F = C;
    vector<string> S(N);
    for(int i = 0;i<N;i++)cin >> S.at(i);
    vector<string> ans;
    bool ok = true;
    
    for(int i = 0;i<N;i++){
        if(S.at(i) == "AB"){
            if(A == 0 && B == 0) ok = false;
            if(A >= B){
                B++;
                A--;
                ans.push_back("B");
            }
            else{
                B--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "AC"){
            if(A == 0 && C == 0) ok = false;
            if(A >= C){
                C++;
                A--;
                ans.push_back("C");
            }
            else{
                C--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "BC"){
            if(B == 0 && C == 0) ok = false;
            if(B >= C){
                C++;
                B--;
                ans.push_back("C");
            }
            else{
                C--;
                B++;
                ans.push_back("B");
            }
        }
    }

    if(ok) {
        cout << "Yes" << endl;
        for(int i = 0;i<N;i++){
            cout << ans.at(i) << endl;
        }
        return 0;
    }
    ok = true;
    A = D;B = E;C = F;
    
    for(int i = 0;i<N;i++){
        if(S.at(i) == "AB"){
            if(A == 0 && B == 0) ok = false;
            if(A > B){
                B++;
                A--;
                ans.push_back("B");
            }
            else{
                B--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "AC"){
            if(A == 0 && C == 0) ok = false;
            if(A >= C){
                C++;
                A--;
                ans.push_back("C");
            }
            else{
                C--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "BC"){
            if(B == 0 && C == 0) ok = false;
            if(B >= C){
                C++;
                B--;
                ans.push_back("C");
            }
            else{
                C--;
                B++;
                ans.push_back("B");
            }
        }
    }
    
    if(ok) {
        cout << "Yes" << endl;
        for(int i = 0;i<N;i++){
            cout << ans.at(i) << endl;
        }
    }
    ok = true;
    A = D;B = E;C = F;
    
    for(int i = 0;i<N;i++){
        if(S.at(i) == "AB"){
            if(A == 0 && B == 0) ok = false;
            if(A >= B){
                B++;
                A--;
                ans.push_back("B");
            }
            else{
                B--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "AC"){
            if(A == 0 && C == 0) ok = false;
            if(A >= C){
                C++;
                A--;
                ans.push_back("C");
            }
            else{
                C--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "BC"){
            if(B == 0 && C == 0) ok = false;
            if(B > C){
                C++;
                B--;
                ans.push_back("C");
            }
            else{
                C--;
                B++;
                ans.push_back("B");
            }
        }
    }
    
    if(ok) {
        cout << "Yes" << endl;
        for(int i = 0;i<N;i++){
            cout << ans.at(i) << endl;
        }
    }

    ok = true;
    A = D;B = E;C = F;
    
    for(int i = 0;i<N;i++){
        if(S.at(i) == "AB"){
            if(A == 0 && B == 0) ok = false;
            if(A >= B){
                B++;
                A--;
                ans.push_back("B");
            }
            else{
                B--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "AC"){
            if(A == 0 && C == 0) ok = false;
            if(A > C){
                C++;
                A--;
                ans.push_back("C");
            }
            else{
                C--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "BC"){
            if(B == 0 && C == 0) ok = false;
            if(B >= C){
                C++;
                B--;
                ans.push_back("C");
            }
            else{
                C--;
                B++;
                ans.push_back("B");
            }
        }
    }
    
    if(ok) {
        cout << "Yes" << endl;
        for(int i = 0;i<N;i++){
            cout << ans.at(i) << endl;
        }
    }
    ok = true;
    A = D;B = E;C = F;
    
    for(int i = 0;i<N;i++){
        if(S.at(i) == "AB"){
            if(A == 0 && B == 0) ok = false;
            if(A > B){
                B++;
                A--;
                ans.push_back("B");
            }
            else{
                B--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "AC"){
            if(A == 0 && C == 0) ok = false;
            if(A > C){
                C++;
                A--;
                ans.push_back("C");
            }
            else{
                C--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "BC"){
            if(B == 0 && C == 0) ok = false;
            if(B >= C){
                C++;
                B--;
                ans.push_back("C");
            }
            else{
                C--;
                B++;
                ans.push_back("B");
            }
        }
    }
    
    if(ok) {
        cout << "Yes" << endl;
        for(int i = 0;i<N;i++){
            cout << ans.at(i) << endl;
        }
    }

    ok = true;
    A = D;B = E;C = F;
    
    for(int i = 0;i<N;i++){
        if(S.at(i) == "AB"){
            if(A == 0 && B == 0) ok = false;
            if(A > B){
                B++;
                A--;
                ans.push_back("B");
            }
            else{
                B--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "AC"){
            if(A == 0 && C == 0) ok = false;
            if(A >= C){
                C++;
                A--;
                ans.push_back("C");
            }
            else{
                C--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "BC"){
            if(B == 0 && C == 0) ok = false;
            if(B > C){
                C++;
                B--;
                ans.push_back("C");
            }
            else{
                C--;
                B++;
                ans.push_back("B");
            }
        }
    }
    
    if(ok) {
        cout << "Yes" << endl;
        for(int i = 0;i<N;i++){
            cout << ans.at(i) << endl;
        }
    }

    ok = true;
    A = D;B = E;C = F;
    
    for(int i = 0;i<N;i++){
        if(S.at(i) == "AB"){
            if(A == 0 && B == 0) ok = false;
            if(A >= B){
                B++;
                A--;
                ans.push_back("B");
            }
            else{
                B--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "AC"){
            if(A == 0 && C == 0) ok = false;
            if(A > C){
                C++;
                A--;
                ans.push_back("C");
            }
            else{
                C--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "BC"){
            if(B == 0 && C == 0) ok = false;
            if(B > C){
                C++;
                B--;
                ans.push_back("C");
            }
            else{
                C--;
                B++;
                ans.push_back("B");
            }
        }
    }
    
    if(ok) {
        cout << "Yes" << endl;
        for(int i = 0;i<N;i++){
            cout << ans.at(i) << endl;
        }
    }

    ok = true;
    A = D;B = E;C = F;
    
    for(int i = 0;i<N;i++){
        if(S.at(i) == "AB"){
            if(A == 0 && B == 0) ok = false;
            if(A > B){
                B++;
                A--;
                ans.push_back("B");
            }
            else{
                B--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "AC"){
            if(A == 0 && C == 0) ok = false;
            if(A > C){
                C++;
                A--;
                ans.push_back("C");
            }
            else{
                C--;
                A++;
                ans.push_back("A");
            }
        }
        if(S.at(i) == "BC"){
            if(B == 0 && C == 0) ok = false;
            if(B > C){
                C++;
                B--;
                ans.push_back("C");
            }
            else{
                C--;
                B++;
                ans.push_back("B");
            }
        }
    }
    
    if(ok) {
        cout << "Yes" << endl;
        for(int i = 0;i<N;i++){
            cout << ans.at(i) << endl;
        }
    }
    else {
        cout << "No" << endl;
    }


    

    // PLEASE GIVE ME THE "ACCEPTED" !
}