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 Python (3.8.2) (judge verdict: Accepted)

# 実際にシミュレーションしていく方針で解く
N, A, B, C = map(int, input().split())
d = {}
d["A"] = A
d["B"] = B
d["C"] = C
S = [input() for _ in range(N)]
ans = []
for i in range(N):
    s = S[i]
    if s == "AB":
        if d["A"] > d["B"]:
            d["A"] -= 1
            d["B"] += 1
            ans.append("B")
        elif d["A"] < d["B"]:
            d["B"] -= 1
            d["A"] += 1
            ans.append("A")
        else:  # 同じ場合
            if d["A"] == d["B"] == 0:
                print("No")
                exit()
            if N > i+1:
                if "A" in S[i+1]:
                    d["B"] -= 1
                    d["A"] += 1
                    ans.append("A")
                elif "B" in S[i+1]:
                    d["A"] -= 1
                    d["B"] += 1
                    ans.append("B")
                else:
                    d["A"] -= 1
                    d["B"] += 1
                    ans.append("B")
            else:
                if d["A"] > 0:
                    ans.append("A")
                elif d["B"] > 0:
                    ans.append("B")

    if s == "AC":
        if d["A"] > d["C"]:
            d["A"] -= 1
            d["C"] += 1
            ans.append("C")
        elif d["A"] < d["C"]:
            d["C"] -= 1
            d["A"] += 1
            ans.append("A")
        else:
            if d["A"] == d["C"] == 0:
                print("No")
                exit()
            if N > i+1:
                if "A" in S[i+1]:
                    d["C"] -= 1
                    d["A"] += 1
                    ans.append("A")
                elif "C" in S[i+1]:
                    d["A"] -= 1
                    d["C"] += 1
                    ans.append("C")
                else:
                    d["A"] -= 1
                    d["C"] += 1
                    ans.append("C")
            else:
                if d["A"] > 0:
                    ans.append("A")
                elif d["C"] > 0:
                    ans.append("C")

    if s == "BC":
        if d["B"] > d["C"]:
            d["B"] -= 1
            d["C"] += 1
            ans.append("C")
        elif d["B"] < d["C"]:
            d["C"] -= 1
            d["B"] += 1
            ans.append("B")
        else:
            if d["B"] == d["C"] == 0:
                print("No")
                exit()
            if N > i+1:
                if "B" in S[i+1]:
                    d["C"] -= 1
                    d["B"] += 1
                    ans.append("B")
                elif "C" in S[i+1]:
                    d["B"] -= 1
                    d["C"] += 1
                    ans.append("C")
                else:
                    d["B"] -= 1
                    d["C"] += 1
                    ans.append("C")
            else:
                if d["B"] > 0:
                    ans.append("B")
                elif d["C"] > 0:
                    ans.append("C")

    if -1 in d.values():
        print("No")
        exit()

print("Yes")
for a in ans:
    print(a)