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: Accepted)

package main

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

/*-----------Main-----------*/

var ans []string

func main() {
	n, a, b, c := readI(), readI(), readI(), readI()
	s := readSs(n)
	s = append(s, "")

	for i := 0; i < n; i++ {
		switch s[i] {
		case "AB":
			a, b = witchcase(a, b, s[i], s[i+1])
		case "AC":
			a, c = witchcase(a, c, s[i], s[i+1])
		case "BC":
			b, c = witchcase(b, c, s[i], s[i+1])
		}
	}

	fmt.Println("Yes")
	for _, v := range ans {
		fmt.Println(v)
	}
}

func witchcase(x, y int, now, next string) (int, int) {
	switch {
	case x == 0 && y == 0:
		fmt.Println("No")
		os.Exit(0)
	case x == 0 && y != 0:
		ans = append(ans, string(now[0]))
		return x + 1, y - 1
	case x != 0 && y == 0:
		ans = append(ans, string(now[1]))
		return x - 1, y + 1
	}

	if nn(now, next) {
		ans = append(ans, string(now[0]))
		return x + 1, y - 1
	}
	ans = append(ans, string(now[1]))
	return x - 1, y + 1

}

func nn(now, next string) bool {
	switch now {
	case "AB":
		switch next {
		case "AC":
			return true
		case "BC":
			return false
		}
	case "AC":
		switch next {
		case "AB":
			return true
		case "BC":
			return false
		}
	case "BC":
		switch next {
		case "AB":
			return true
		case "AC":
			return false
		}
	}
	return true
}

/*-----------Utilities-----------*/

var sc = bufio.NewScanner(os.Stdin)

func init() {
	if len(os.Args) >= 2 {
		if os.Args[1] == "debug" {
			debug()
		}
	}
	const maxBuf = 200100
	var buf []byte = make([]byte, maxBuf)
	sc.Split(bufio.ScanWords)
	sc.Buffer(buf, maxBuf)
}

func debug() {
	testFile, err := os.Open("./test/sample-4.in")
	if err != nil {
		fmt.Fprintln(os.Stderr, "Error : There is no testfile.")
		os.Exit(1)
	}
	sc = bufio.NewScanner(testFile)
}

func readS() string {
	sc.Scan()
	return sc.Text()
}

func readSs(a int) []string {
	b := make([]string, a)
	for i := 0; i < a; i++ {
		b[i] = readS()
	}
	return b
}

func readI() int {
	sc.Scan()
	r, _ := strconv.Atoi(sc.Text())
	return r
}

func readIs(a int) []int {
	b := make([]int, a)
	for i := 0; i < a; i++ {
		b[i] = readI()
	}
	return b
}

func readF() float64 {
	sc.Scan()
	r, _ := strconv.ParseFloat(sc.Text(), 64)
	return r
}

func readFs(a int) []float64 {
	b := make([]float64, a)
	for i := 0; i < a; i++ {
		b[i] = readF()
	}
	return b
}

func max(a []int) int {
	l := len(a)
	m := a[0]
	for i := 1; i < l; i++ {
		if a[i] > m {
			m = a[i]
		}
	}
	return m
}

func min(a []int) int {
	l := len(a)
	m := a[0]
	for i := 1; i < l; i++ {
		if a[i] < m {
			m = a[i]
		}
	}
	return m
}

func sortI(a []int) []int {
	sort.Ints(a)
	return a
}

func reverse(a []int) []int {
	l := len(a)
	r := make([]int, l)
	for i := 0; i < l; i++ {
		r[i] = a[l-i-1]
	}
	return r
}

func countI(a []int, b int) int {
	l := len(a)
	var c int
	for i := 0; i < l; i++ {
		if a[i] == b {
			c++
		}
	}
	return c
}