All Green

AtCoder

IDabc104_c

Time2000ms

Memory256MB

Difficulty—

A programming competition site _AtCode_ provides algorithmic problems. Each problem is allocated a score based on its difficulty. Currently, for each integer $i$ between $1$ and $D$ (inclusive), there are $p_i$ problems with a score of $100i$ points. These $p_1 + … + p_D$ problems are all of the problems available on AtCode. A user of AtCode has a value called _total score_. The total score of a user is the sum of the following two elements: * Base score: the sum of the scores of all problems solved by the user. * Perfect bonuses: when a user solves all problems with a score of $100i$ points, he/she earns the perfect bonus of $c_i$ points, aside from the base score $(1 ≤ i ≤ D)$. Takahashi, who is the new user of AtCode, has not solved any problem. His objective is to have a total score of $G$ or more points. At least how many problems does he need to solve for this objective? ## Constraints * $1 ≤ D ≤ 10$ * $1 ≤ p_i ≤ 100$ * $100 ≤ c_i ≤ 10^6$ * $100 ≤ G$ * All values in input are integers. * $c_i$ and $G$ are all multiples of $100$. * It is possible to have a total score of $G$ or more points. ## Input Input is given from Standard Input in the following format: $D$ $G$ $p_1$ $c_1$ $:$ $p_D$ $c_D$ [samples]

Samples

Input #1

2 700
3 500
5 800

Output #1

3

In this case, there are three problems each with $100$ points and five problems each with $200$ points. The perfect bonus for solving all the $100$\-point problems is $500$ points, and the perfect bonus for solving all the $200$\-point problems is $800$ points. Takahashi's objective is to have a total score of $700$ points or more.
One way to achieve this objective is to solve four $200$\-point problems and earn a base score of $800$ points. However, if we solve three $100$\-point problems, we can earn the perfect bonus of $500$ points in addition to the base score of $300$ points, for a total score of $800$ points, and we can achieve the objective with fewer problems.

Input #2

2 2000
3 500
5 800

Output #2

7

This case is similar to Sample Input 1, but the Takahashi's objective this time is $2000$ points or more. In this case, we inevitably need to solve all five $200$\-point problems, and by solving two $100$\-point problems additionally we have the total score of $2000$ points.

Input #3

2 400
3 500
5 800

Output #3

2

This case is again similar to Sample Input 1, but the Takahashi's objective this time is $400$ points or more. In this case, we only need to solve two $200$\-point problems to achieve the objective.

Input #4

Output #4

66

There is only one $500$\-point problem, but the perfect bonus can be earned even in such a case.

API Response (JSON)

{
  "problem": {
    "name": "All Green",
    "description": {
      "content": "A programming competition site _AtCode_ provides algorithmic problems. Each problem is allocated a score based on its difficulty. Currently, for each integer $i$ between $1$ and $D$ (inclusive), there",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc104_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "A programming competition site _AtCode_ provides algorithmic problems. Each problem is allocated a score based on its difficulty. Currently, for each integer $i$ between $1$ and $D$ (inclusive), there...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments