Problem Statement
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_DOutput
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).
样例
2 700
3 500
5 800
3
2 2000
3 500
5 800
7
2 400
3 500
5 800
2
5 25000
20 1000
40 1000
50 1000
30 1000
1 1000
66
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