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 Go (1.14.1) (judge verdict: Wrong Answer)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func main() {
	N := nextInt()
	A := []int{
		0,
		nextInt(),
		nextInt(),
		0,
		nextInt(),
	}
	sum := A[1] + A[2] + A[4]
	if sum == 0 {
		fmt.Println("No")
		return
	}

	S := make([]int, N)
	ans := make([]int, N)

	for i := 0; i < N; i++ {
		s := nextString()

		if s == "AB" {
			S[i] = 3
		} else if s == "AC" {
			S[i] = 5
		} else {
			S[i] = 6
		}
	}

	for i := 0; i < N; i++ {
		var a, b, c int
		s := S[i]
		if s == 3 {
			a = 1
			b = 2
			c = 4
		} else if s == 5 {
			a = 1
			b = 4
			c = 2
		} else {
			a = 2
			b = 4
			c = 1
		}
		if A[a] == 0 && A[b] == 0 {
			fmt.Println("No")
			return
		}
		if A[a] == 0 && A[b] >= 1 {
			ans[i] = a
			A[a]++
			A[b]--
		} else if A[a] >= 1 && A[b] == 0 {
			ans[i] = b
			A[a]--
			A[b]++
		} else if sum == 2 && i != N-1 && S[i] != S[i+1] {
			if S[i+1] == a+c {
				ans[i] = a
				A[a]++
				A[b]--
			} else {
				ans[i] = b
				A[a]--
				A[b]++
			}
		} else {
			ans[i] = a
			A[a]++
			A[b]--
		}
	}

	fmt.Println("Yes")
	a := []string{"", "A", "B", "", "C"}

	for i := 0; i < N; i++ {
		fmt.Println(a[ans[i]])
	}
}

var stdin = initStdin()

func initStdin() *bufio.Scanner {
	bufsize := 1 * 1024 * 1024 // 1 MB
	var stdin = bufio.NewScanner(os.Stdin)
	stdin.Buffer(make([]byte, bufsize), bufsize)
	stdin.Split(bufio.ScanWords)
	return stdin
}

func nextString() string {
	stdin.Scan()
	return stdin.Text()
}

func nextBytes() []byte {
	stdin.Scan()
	return stdin.Bytes()
}

func nextInt() int {
	i, _ := strconv.Atoi(nextString())
	return i
}

func nextInt64() int64 {
	i, _ := strconv.ParseInt(nextString(), 10, 64)
	return i
}