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 C (GCC 9.2.1) (judge verdict: Wrong Answer)

#include<stdio.h>
int main()
{
	int n, a, b, c;
	scanf("%d %d %d %d", &n, &a, &b, &c);
	int i;
	char s[100005][4];
	for (i = 0; i < n; i++)
		scanf("%s", s[i]);
	int z = 0;
	if (a == 0)z++;
	if (b == 0)z++;
	if (c == 0)z++;
	if (z == 0)
	{
		printf("Yes\n");
		for (i = 0; i < n; i++)
		{
			if (s[i][0] == 'A' && s[i][1] == 'B')
			{
				if (a > b)
				{
					printf("B\n");
					a--;
					b++;
				}
				else
				{
					printf("A\n");
					b--;
					a++;
				}
			}
			else if (s[i][0] == 'A')
			{
				if (a > c)
				{
					printf("C\n");
					a--;
					c++;
				}
				else
				{
					printf("A\n");
					c--;
					a++;
				}
			}
			else
			{
				if (b > c)
				{
					printf("C\n");
					b--;
					c++;
				}
				else
				{
					printf("B\n");
					c--;
					b++;
				}
			}
		}
		return 0;
	}
	if (z == 3)
	{
		printf("No\n");
		return 0;
	}
	if (z == 1)
	{
		printf("Yes\n");
		if (a + b + c > 2)
		{
			for (i = 0; i < n; i++)
			{
				if (s[i][0] == 'A' && s[i][1] == 'B')
				{
					if (a > b)
					{
						printf("B\n");
						a--;
						b++;
					}
					else
					{
						printf("A\n");
						b--;
						a++;
					}
				}
				else if (s[i][0] == 'A')
				{
					if (a > c)
					{
						printf("C\n");
						a--;
						c++;
					}
					else
					{
						printf("A\n");
						c--;
						a++;
					}
				}
				else
				{
					if (b > c)
					{
						printf("C\n");
						b--;
						c++;
					}
					else
					{
						printf("B\n");
						c--;
						b++;
					}
				}
			}
		}
		else
		{
			for (i = 0; i < n - 1; i++)
			{
				if (s[i][0] == 'A' && s[i][1] == 'B')
				{
					if (a > b)
					{
						printf("B\n");
						a--;
						b++;
					}
					else if (a < b)
					{
						printf("A\n");
						b--;
						a++;
					}
					else
					{
						if (s[i + 1][0] == 'B')
						{
							printf("B\n");
							a--;
							b++;
						}
						else
						{
							printf("A\n");
							b--;
							a++;
						}
					}
				}
				else if (s[i][0] == 'A')
				{
					if (a > c)
					{
						printf("C\n");
						a--;
						c++;
					}
					else if (a < c)
					{
						printf("A\n");
						c--;
						a++;
					}
					else
					{
						if (s[i + 1][0] == 'B')
						{
							printf("B\n");
							a--;
							b++;
						}
						else
						{
							printf("A\n");
							c--;
							a++;
						}
					}
				}
				else
				{
					if (b > c)
					{
						printf("C\n");
						b--;
						c++;
					}
					else if (b < c)
					{
						printf("B\n");
						c--;
						b++;
					}
					else
					{
						if (s[i + 1][1] == 'B')
						{
							printf("B\n");
							c--;
							b++;
						}
						else
						{
							printf("C\n");
							b--;
							c++;
						}
					}
				}
			}
			i = n - 1;
			if (s[i][0] == 'A' && s[i][1] == 'B')
			{
				if (a > b)
				{
					printf("B\n");
					a--;
					b++;
				}
				else
				{
					printf("A\n");
					b--;
					a++;
				}
			}
			else if (s[i][0] == 'A')
			{
				if (a > c)
				{
					printf("C\n");
					a--;
					c++;
				}
				else
				{
					printf("A\n");
					c--;
					a++;
				}
			}
			else
			{
				if (b > c)
				{
					printf("C\n");
					b--;
					c++;
				}
				else
				{
					printf("B\n");
					c--;
					b++;
				}
			}
		}
		return 0;
	}
	if (s[0][0] == 'B' && b == 0 && c == 0)
	{
		printf("No\n");
		return 0;
	}
	if (s[0][1] == 'B' && a == 0 && b == 0)
	{
		printf("No\n");
		return 0;
	}
	if (s[0][1] == 'C' && a == 0 && c == 0)
	{
		printf("No\n");
		return 0;
	}
	if (a + b + c > 1)
	{
		printf("Yes\n");
		if (a + b + c > 2)
		{
			for (i = 0; i < n; i++)
			{
				if (s[i][0] == 'A' && s[i][1] == 'B')
				{
					if (a > b)
					{
						printf("B\n");
						a--;
						b++;
					}
					else
					{
						printf("A\n");
						b--;
						a++;
					}
				}
				else if (s[i][0] == 'A')
				{
					if (a > c)
					{
						printf("C\n");
						a--;
						c++;
					}
					else
					{
						printf("A\n");
						c--;
						a++;
					}
				}
				else
				{
					if (b > c)
					{
						printf("C\n");
						b--;
						c++;
					}
					else
					{
						printf("B\n");
						c--;
						b++;
					}
				}
			}
		}
		else
		{
			for (i = 0; i < n - 1; i++)
			{
				if (s[i][0] == 'A' && s[i][1] == 'B')
				{
					if (a > b)
					{
						printf("B\n");
						a--;
						b++;
					}
					else if (a < b)
					{
						printf("A\n");
						b--;
						a++;
					}
					else
					{
						if (s[i + 1][0] == 'B')
						{
							printf("B\n");
							a--;
							b++;
						}
						else
						{
							printf("A\n");
							b--;
							a++;
						}
					}
				}
				else if (s[i][0] == 'A')
				{
					if (a > c)
					{
						printf("C\n");
						a--;
						c++;
					}
					else if (a < c)
					{
						printf("A\n");
						c--;
						a++;
					}
					else
					{
						if (s[i + 1][0] == 'B')
						{
							printf("B\n");
							a--;
							b++;
						}
						else
						{
							printf("A\n");
							c--;
							a++;
						}
					}
				}
				else
				{
					if (b > c)
					{
						printf("C\n");
						b--;
						c++;
					}
					else if (b < c)
					{
						printf("B\n");
						c--;
						b++;
					}
					else
					{
						if (s[i + 1][1] == 'B')
						{
							printf("B\n");
							c--;
							b++;
						}
						else
						{
							printf("C\n");
							b--;
							c++;
						}
					}
				}
			}
			i = n - 1;
			if (s[i][0] == 'A' && s[i][1] == 'B')
			{
				if (a > b)
				{
					printf("B\n");
					a--;
					b++;
				}
				else
				{
					printf("A\n");
					b--;
					a++;
				}
			}
			else if (s[i][0] == 'A')
			{
				if (a > c)
				{
					printf("C\n");
					a--;
					c++;
				}
				else
				{
					printf("A\n");
					c--;
					a++;
				}
			}
			else
			{
				if (b > c)
				{
					printf("C\n");
					b--;
					c++;
				}
				else
				{
					printf("B\n");
					c--;
					b++;
				}
			}
		}
		return 0;
	}
	int p, q, r;
	for (i = 0; i < n; i++)
	{
		if (s[i][0] == 'B')
		{
			if (q == 0 && r == 0)
			{
				printf("No\n");
				return 0;
			}
			if (q > r)
			{
				q--;
				r++;
			}
			else
			{
				q++;
				r--;
			}
		}
		else if (s[i][1] == 'B')
		{
			if (p == 0 && q == 0)
			{
				printf("No\n");
				return 0;
			}
			if (p > q)
			{
				p--;
				q++;
			}
			else
			{
				p++;
				q--;
			}
		}
		else
		{
			if (p == 0 && r == 0)
			{
				printf("No\n");
				return 0;
			}
			if(p>r)

			{
				p--;
				r++;
			}
			else
			{
				p++;
				r--;
			}
		}
	}
	printf("Yes\n");
	for (i = 0; i < n; i++)
	{
		if (s[i][0] == 'A' && s[i][1] == 'B')
		{
			if (a > b)
			{
				printf("B\n");
				a--;
				b++;
			}
			else
			{
				printf("A\n");
				b--;
				a++;
			}
		}
		else if (s[i][0] == 'A')
		{
			if (a > c)
			{
				printf("C\n");
				a--;
				c++;
			}
			else
			{
				printf("A\n");
				c--;
				a++;
			}
		}
		else
		{
			if (b > c)
			{
				printf("C\n");
				b--;
				c++;
			}
			else
			{
				printf("B\n");
				c--;
				b++;
			}
		}
	}
	return 0;
}