#D8737. All Green
All Green
All Green
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
Output
Print the minimum number of problems that needs to be solved in order to have a total score of G or more points. Note that this objective is always achievable (see Constraints).
Examples
Input
2 700 3 500 5 800
Output
3
Input
2 2000 3 500 5 800
Output
7
Input
2 400 3 500 5 800
Output
2
Input
5 25000 20 1000 40 1000 50 1000 30 1000 1 1000
Output
66
inputFormat
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
outputFormat
Output
Print the minimum number of problems that needs to be solved in order to have a total score of G or more points. Note that this objective is always achievable (see Constraints).
Examples
Input
2 700 3 500 5 800
Output
3
Input
2 2000 3 500 5 800
Output
7
Input
2 400 3 500 5 800
Output
2
Input
5 25000 20 1000 40 1000 50 1000 30 1000 1 1000
Output
66
样例
5 25000
20 1000
40 1000
50 1000
30 1000
1 100066