Problem:
Score : 300 points

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_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).

Sample Input 1

2 700
3 500
5 800

Sample 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.

Sample Input 2

2 2000
3 500
5 800

Sample 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.

Sample Input 3

2 400
3 500
5 800

Sample 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.

Sample Input 4

5 25000
20 1000
40 1000
50 1000
30 1000
1 1000

Sample Output 4

66

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

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Arrays;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		int ans = 0;

		Scanner scanner = new Scanner(System.in);
		int d = scanner.nextInt();
		int g = scanner.nextInt();

		int[][] map = new int[d][5];
		for (int i=0; i<d; i++){
			map[i][0] = (i+1)*100;	//点数
			map[i][1] = scanner.nextInt();	//問題数
			map[i][2] = scanner.nextInt();	//ボーナス
			map[i][3] = map[i][0]*map[i][1]+map[i][2];	//小計
			map[i][4] = map[i][3]/map[i][1];	//効率
		}

		Arrays.sort(map, (a,b)->b[4]-a[4]);

		int now = 0;
		int lbl = 0;
		for (int i=0; i<map.length; i++){
			now += map[i][3];
			ans += map[i][1];
			if (now > g) {
				int before = now - map[i][3];
				int ansB = ans - map[i][1];
				int[][] tmp = new int[map.length-lbl][5];
				for (int k=0;k<tmp.length;k++) tmp[k] = map[k + lbl];
				for (int[] arr:tmp) {
					if (ansB+arr[1]>g) ans = Math.min(ans, ansB+arr[1]);
				}
				Arrays.sort(tmp, (a,b)->b[0]-a[0]);
				for (int[] arr: tmp) {
					int need = (int)Math.ceil((g-before)/(float)arr[0]);
					if (need<arr[1]) ans = Math.min(ans, ansB+need);
				}
				break;
			}else {
				lbl++;
			}
		}
		System.out.println(ans);

	}
}