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 Kotlin (1.3.71) (judge verdict: Accepted)

import java.util.*
import java.math.*
import kotlin.math.*

fun readLn()=readLine()!!
fun readInt()=readLn().toInt()
fun readInts()=readLn().split(" ").map{it.toInt()}
fun readLong()=readLn().toLong()
fun readLongs()=readLn().split(" ").map{it.toLong()}

val out=mutableListOf<String>()
fun printLine(s:String){out.add(s)}
fun output(){println(out.joinToString("\n"))}

fun DP(n:Int,A:Int,B:Int,C:Int){
    val dp=Array(n+1){Array(3){Array(3){Array(3){false}}}}
    val go=Array(n+1){Array(3){Array(3){Array(3){'-'}}}}
    val o=Array(n+1){""}
    dp[0][A][B][C]=true
    for(i in 1..n){
        val op=readLn()
        for(a in 0..2){
            for(b in 0..2){
                for(c in 0..2)if(dp[i-1][a][b][c]){
                    if(op=="AB" && a>0){dp[i][a-1][b+1][c]=true;go[i][a-1][b+1][c]='B'}
                    if(op=="AB" && b>0){dp[i][a+1][b-1][c]=true;go[i][a+1][b-1][c]='A'}
                    if(op=="AC" && a>0){dp[i][a-1][b][c+1]=true;go[i][a-1][b][c+1]='C'}
                    if(op=="AC" && c>0){dp[i][a+1][b][c-1]=true;go[i][a+1][b][c-1]='A'}
                    if(op=="BC" && b>0){dp[i][a][b-1][c+1]=true;go[i][a][b-1][c+1]='C'}
                    if(op=="BC" && c>0){dp[i][a][b+1][c-1]=true;go[i][a][b+1][c-1]='B'}
                }
            }
        }
        o[i]=op
    }
    for(_a in 0..2){
        for(_b in 0..2){
            for(_c in 0..2){
                var a=_a;var b=_b;var c=_c
                if(dp[n][a][b][c]){
                    printLine("Yes")
                    val stk=Stack<Char>()
                    for(i in n downTo 1){
                        var now=go[i][a][b][c]
                        stk.push(now)
                        if(o[i]=="AB" && now=='A'){a--;b++}
                        if(o[i]=="AB" && now=='B'){a++;b--}
                        if(o[i]=="AC" && now=='A'){a--;c++}
                        if(o[i]=="AC" && now=='C'){a++;c--}
                        if(o[i]=="BC" && now=='B'){b--;c++}
                        if(o[i]=="BC" && now=='C'){b++;c--}
                    }
                    while(!stk.isEmpty())printLine("${stk.pop()}")
                    output()
                    return
                }
            }
        }
    }
    printLine("No")
    output()
}

fun main(){
    var (n,A,B,C)=readInts()
    if(A+B+C<=2){
        DP(n,A,B,C)
        return
    }
    printLine("Yes")
    repeat(n){
        var op=readLn()
        if(op=="AB"){
            if(A==0 && B==0){
                println("No")
                return
            }
            if(A>=B){
                A--;B++
                printLine("B")
            }else{
                B--;A++
                printLine("A")
            }
        }else if(op=="AC"){
            if(A==0 && C==0){
                println("No")
                return
            }
            if(A>=C){
                A--;C++
                printLine("C")
            }else{
                C--;A++
                printLine("A")
            }
        }else{
            if(B==0 && C==0){
                println("No")
                return
            }
            if(B>=C){
                B--;C++
                printLine("C")
            }else{
                C--;B++
                printLine("B")
            }
        }
    }
    output()
}