Three Variables Game

AtCoder

IDabc166_f

Time2000ms

Memory256MB

Difficulty—

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: $N$ $A$ $B$ $C$ $s_1$ $s_2$ $:$ $s_N$ [samples]

Samples

Input #1

2 1 3 0
AB
AC

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 $1$.

Input #2

3 1 0 0
AB
BC
AB

Output #2

No

Input #3

1 0 9 0
AC

Output #3

No

Input #4

8 6 9 1
AC
BC
AB
BC
AC
BC
AB
AB

Output #4

Yes
C
B
B
C
C
B
A
A

API Response (JSON)

{
  "problem": {
    "name": "Three Variables Game",
    "description": {
      "content": "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",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc166_f"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There is a game that involves three variables, denoted $A$, $B$, and $C$.\nAs the game progresses, there will be $N$ events where you are asked to make a choice. Each of these choices is represented by...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments