Explore

AtCoder

IDabc265_b

Time2000ms

Memory256MB

Difficulty—

Takahashi is exploring a cave in a video game. The cave consists of $N$ rooms arranged in a row. The rooms are numbered Room $1,2,\ldots,N$ from the entrance. Takahashi is initially in Room $1$, and the **time limit** is $T$. For each $1 \leq i \leq N-1$, he may consume a time of $A_i$ to move from Room $i$ to Room $(i+1)$. There is no other way to move between rooms. He cannot make a move that makes the time limit $0$ or less. There are $M$ bonus rooms in the cave. The $i$\-th bonus room is Room $X_i$; when he arrives at the room, the time limit increases by $Y_i$. Can Takahashi reach Room $N$? ## Constraints * $2 \leq N \leq 10^5$ * $0 \leq M \leq N-2$ * $1 \leq T \leq 10^9$ * $1 \leq A_i \leq 10^9$ * $1 < X_1 < \ldots < X_M < N$ * $1 \leq Y_i \leq 10^9$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $M$ $T$ $A_1$ $A_2$ $\ldots$ $A_{N-1}$ $X_1$ $Y_1$ $X_2$ $Y_2$ $\vdots$ $X_M$ $Y_M$ [samples]

Samples

Input #1

4 1 10
5 7 5
2 10

Output #1

Yes

*   Takahashi is initially in Room $1$, and the time limit is $10$.
*   He consumes a time of $5$ to move to Room $2$. Now the time limit is $5$. Then, the time limit increases by $10$; it is now $15$.
*   He consumes a time of $7$ to move to Room $3$. Now the time limit is $8$.
*   He consumes a time of $5$ to move to Room $4$. Now the time limit is $3$.

Input #2

4 1 10
10 7 5
2 10

Output #2

No

He cannot move from Room $1$ to Room $2$.

API Response (JSON)

{
  "problem": {
    "name": "Explore",
    "description": {
      "content": "Takahashi is exploring a cave in a video game. The cave consists of $N$ rooms arranged in a row. The rooms are numbered Room $1,2,\\ldots,N$ from the entrance. Takahashi is initially in Room $1$, and t",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc265_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Takahashi is exploring a cave in a video game.\nThe cave consists of $N$ rooms arranged in a row. The rooms are numbered Room $1,2,\\ldots,N$ from the entrance.\nTakahashi is initially in Room $1$, and t...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments