Intervals

AtCoder

IDdp_w

Time2000ms

Memory256MB

Difficulty—

Consider a string of length $N$ consisting of `0` and `1`. The score for the string is calculated as follows: * For each $i$ ($1 \leq i \leq M$), $a_i$ is added to the score if the string contains `1` at least once between the $l_i$\-th and $r_i$\-th characters (inclusive). Find the maximum possible score of a string. ## Constraints * All values in input are integers. * $1 \leq N \leq 2 × 10^5$ * $1 \leq M \leq 2 × 10^5$ * $1 \leq l_i \leq r_i \leq N$ * $|a_i| \leq 10^9$ ## Input Input is given from Standard Input in the following format: $N$ $M$ $l_1$ $r_1$ $a_1$ $l_2$ $r_2$ $a_2$ $:$ $l_M$ $r_M$ $a_M$ [samples]

Samples

Input #1

Output #1

20

The score for `10001` is $a_1 + a_3 = 10 + 10 = 20$.

Input #2

Output #2

90

The score for `100` is $a_1 + a_2 = 100 + (-10) = 90$.

Input #3

1 1
1 1 -10

Output #3

0

The score for `0` is $0$.

Input #4

1 5
1 1 1000000000
1 1 1000000000
1 1 1000000000
1 1 1000000000
1 1 1000000000

Output #4

5000000000

The answer may not fit into a 32-bit integer type.

Input #5

Output #5

10

For example, the score for `101000` is $a_2 + a_3 + a_4 + a_5 + a_7 = 10 + (-8) + 5 + 9 + (-6) = 10$.

API Response (JSON)

{
  "problem": {
    "name": "Intervals",
    "description": {
      "content": "Consider a string of length $N$ consisting of `0` and `1`. The score for the string is calculated as follows: *   For each $i$ ($1 \\leq i \\leq M$), $a_i$ is added to the score if the string contains ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "dp_w"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Consider a string of length $N$ consisting of `0` and `1`. The score for the string is calculated as follows:\n\n*   For each $i$ ($1 \\leq i \\leq M$), $a_i$ is added to the score if the string contains ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments