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 PyPy2 (7.3.0) (judge verdict: Wrong Answer)

import sys
if sys.subversion[0] == "PyPy":
    import io, atexit
    sys.stdout = io.BytesIO()
    atexit.register(lambda: sys.__stdout__.write(sys.stdout.getvalue()))
    
    sys.stdin = io.BytesIO(sys.stdin.read())
    input = lambda: sys.stdin.readline().rstrip()

n, a, b, c = map(int, raw_input().split())
cmds = []

def print_res(cnts, res):
    rem = [a, b, c]
    p = [0, 0, 0]
    for i in xrange(3):
        p[i] = cnts[i] + res[i]
        assert p[i] % 2 == 0
        p[i] /= 2

    print 'Yes'
    for s in cmds:
        nr = {
            'AB': 0,
            'AC': 1,
            'BC': 2
        }[s]

        x, y = ord(s[0]) - ord('A'), ord(s[1]) - ord('A')

        if p[nr] > 0:
            p[nr] -= 1
            print s[0]
            rem[x] += 1
            rem[y] -= 1
        else:
            print s[1]
            rem[y] += 1
            rem[x] -= 1

    assert min(rem) >= 0


cnts = [0, 0, 0]

for i in xrange(n):
    s = raw_input()
    cmds.append(s)

    nr = {
        'AB': 0,
        'AC': 1,
        'BC': 2
    }[s]

    cnts[nr] += 1


for i in xrange(-cnts[0], cnts[0] + 1, 2):
    aa = a + i
    bb = b - i
    cc = c

    res = [i, -1, -1]

    delta = cnts[1]
    da = max(0, (delta - aa + 1) / 2)
    dc = delta - da
    res[1] = da - dc
    if da < 0 or dc < 0:
        continue
    assert da + dc == delta
    aa = aa + da - dc
    cc = cc + dc - da

    delta = cnts[2]
    db = max(0, (delta - bb + 1) / 2)
    dc = delta - db
    if db < 0 or dc < 0:
        continue
    assert db + dc == delta
    bb = bb + db - dc
    cc = cc + dc - db
    res[2] = db - dc

    if aa >= 0 and bb >= 0 and cc >= 0:
        print_res(cnts, res)
        break
else:
    print 'No'