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 = []

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

cnt = [a, b, c]
res = []

for i in xrange(n):
    cmd = cmds[i]
    p1 = ord(cmd[0]) - ord('A')
    p2 = ord(cmd[1]) - ord('A')

    if cnt[p1] >= 1 and cnt[p2] >= 1:
        if cnt[p1] > cnt[p2]:
            res.append(cmd[1])
            cnt[p1] -= 1
            cnt[p2] += 1
        else:
            res.append(cmd[0])
            cnt[p1] += 1
            cnt[p2] -= 1
    elif cnt[p1] == 0 and cnt[p2] == 0:
        res = []
        break
    elif cnt[p1] >= 1 and cnt[p2] == 0:
        res.append(cmd[1])
        cnt[p1] -= 1
        cnt[p2] += 1
    elif cnt[p1] == 0 and cnt[p2] >= 1:
        res.append(cmd[0])
        cnt[p1] += 1
        cnt[p2] -= 1
    elif i == n - 1:
        res.append(cmd[0])
        cnt[p1] += 1
        cnt[p2] -= 1
    else:
        # print cnt, p1, p2
        assert cnt[p1] == 1 and cnt[p2] == 1
        assert i + 1 < n

        nxt = cmds[i + 1]
        p3 = ord(nxt[0]) - ord('A')
        p4 = ord(nxt[1]) - ord('A')

        if p3 in [p1, p2] and cnt[p4] == 0:
            if p3 == p1:
                res.append(cmd[0])
                cnt[p1] += 1
                cnt[p2] -= 1
            else:
                res.append(cmd[1])
                cnt[p1] -= 1
                cnt[p2] += 1
        elif p4 in [p1, p2] and cnt[p3] == 0:
            if p4 == p1:
                res.append(cmd[0])
                cnt[p1] += 1
                cnt[p2] -= 1
            else:
                res.append(cmd[1])
                cnt[p1] -= 1
                cnt[p2] += 1
        else:
            res.append(cmd[0])
            cnt[p1] += 1
            cnt[p2] -= 1
    assert min(cnt) >= 0


if not res:
    print 'No'
else:
    print 'Yes'
    print '\n'.join(res)