A+B+C

AtCoder

IDabc344_c

Time2000ms

Memory256MB

Difficulty—

You are given three sequences $A=(A_1,\ldots,A_N)$, $B=(B_1,\ldots,B_M)$, and $C=(C_1,\ldots,C_L)$. Additionally, a sequence $X=(X_1,\ldots,X_Q)$ is given. For each $i=1,\ldots,Q$, solve the following problem: Problem: Is it possible to select one element from each of $A$, $B$, and $C$ so that their sum is $X_i$? ## Constraints * $1 \leq N,M,L \leq 100$ * $0 \leq A_i, B_i ,C_i \leq 10^8$ * $1 \leq Q \leq 2\times 10^5$ * $0 \leq X_i \leq 3\times 10^8$ * All input values are integers. ## Input The input is given from Standard Input in the following format: $N$ $A_1$ $\ldots$ $A_N$ $M$ $B_1$ $\ldots$ $B_M$ $L$ $C_1$ $\ldots$ $C_L$ $Q$ $X_1$ $\ldots$ $X_Q$ [samples]

Samples

Input #1

3
1 2 3
2
2 4
6
1 2 4 8 16 32
4
1 5 10 50

Output #1

No
Yes
Yes
No

*   It is impossible to select one element from each of $A$, $B$, and $C$ so that their sum is $1$.
*   Selecting $1$, $2$, and $2$ from $A$, $B$, and $C$, respectively, makes the sum $5$.
*   Selecting $2$, $4$, and $4$ from $A$, $B$, and $C$, respectively, makes the sum $10$.
*   It is impossible to select one element from each of $A$, $B$, and $C$ so that their sum is $50$.

API Response (JSON)

{
  "problem": {
    "name": "A+B+C",
    "description": {
      "content": "You are given three sequences $A=(A_1,\\ldots,A_N)$, $B=(B_1,\\ldots,B_M)$, and $C=(C_1,\\ldots,C_L)$. Additionally, a sequence $X=(X_1,\\ldots,X_Q)$ is given. For each $i=1,\\ldots,Q$, solve the following",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc344_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given three sequences $A=(A_1,\\ldots,A_N)$, $B=(B_1,\\ldots,B_M)$, and $C=(C_1,\\ldots,C_L)$.\nAdditionally, a sequence $X=(X_1,\\ldots,X_Q)$ is given. For each $i=1,\\ldots,Q$, solve the following...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments