Cumulative Cumulative Cumulative Sum

AtCoder

IDabc256_f

Time2000ms

Memory256MB

Difficulty—

You are given $N$, $Q$, and $A=(A_1,\ldots,A_N)$. Process $Q$ queries, each of which is of one of the following two kinds: * `1 x v`: update $A_x$ to $v$. * `2 x`: let $B_i=\sum_{j=1}^{i}A_j$, $C_i=\sum_{j=1}^{i}B_j$, and $D_i=\sum_{j=1}^{i}C_j$. Print $D_x$ modulo $998244353$. ## Constraints * $1 \leq N \leq 2\times10^5$ * $1 \leq Q \leq 2\times10^5$ * $0 \leq A_i \leq 10^9$ * $1 \leq x \leq N$ * $0 \leq v \leq 10^9$ * All values in input are integers. ## Input Input is given from Standard Input in the following format, where ${\rm query}_i$ denotes the $i$\-th query to be processed: $N$ $Q$ $A_1$ $A_2$ $\ldots$ $A_N$ ${\rm query}_1$ ${\rm query}_2$ $\vdots$ ${\rm query}_Q$ Each query is given in one of the following two formats: $1$ $x$ $v$ $2$ $x$ [samples]

Samples

Input #1

Output #1

15
9

When the $1$\-st query is given, $A=(1,2,3)$, so $B=(1,3,6)$, $C=(1,4,10)$, and $D=(1,5,15)$; thus, $D_3=15$.
When the $3$\-rd query is given, $A=(1,0,3)$, so $B=(1,1,4)$, $C=(1,2,6)$, and $D=(1,3,9)$; thus, $D_3=9$.

Input #2

2 1
998244353 998244353
2 1

Output #2

API Response (JSON)

{
  "problem": {
    "name": "Cumulative Cumulative Cumulative Sum",
    "description": {
      "content": "You are given $N$, $Q$, and $A=(A_1,\\ldots,A_N)$.   Process $Q$ queries, each of which is of one of the following two kinds: *   `1 x v`: update $A_x$ to $v$. *   `2 x`: let $B_i=\\sum_{j=1}^{i}A_j$, ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc256_f"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given $N$, $Q$, and $A=(A_1,\\ldots,A_N)$.  \nProcess $Q$ queries, each of which is of one of the following two kinds:\n\n*   `1 x v`: update $A_x$ to $v$.\n*   `2 x`: let $B_i=\\sum_{j=1}^{i}A_j$, ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments