Winter in Yekaterinburg is the longest time of the year. And everyone spends long winter evenings in his own way. Denis is a big fan of classical music, at least twice a week he attends concerts at the Philharmonic.

This year, Denis wants to buy tickets for the whole season at once and even already has chosen a list of concerts, which he wants to attend. Now, he thinks, how to buy tickets. There is an opportunity in the Philharmonic to choose any k or more concerts and to buy a single subscription for all of them. The cost of this subscription will be equal to the total cost of all concerts in it but with a discount p percent. There are many types of such subscriptions, with different k and p. In addition, for some concerts Denis, as a student, has a discount. This discount is valid only if he buys the ticket separately, outside the subscription.

Denis, like any other poor student, wants to attend all the concerts, spending as little money as possible. However, he knows that there are always more people wanting to attend a concert than the number of seats in the Philharmonic hall. So he will not buy more than one ticket for one concert (separately or in a subscription), even if it allows him to save money.

The first line contains integers n and m that are the number of concerts Denis wants to attend, and a number of different subscription types at the Philharmonic (2 ≤ n ≤ 10⁵; 1 ≤ m ≤ 10⁵). The i-th of the following n lines contains integers s_i and d_i that are the price of a ticket and the discount for students in percent at the i-th concert (100 ≤ s_i ≤ 50 000; 0 ≤ d_i ≤ 100). The j-th of the following m lines contains integers k_j and p_j that are the minimum number of concerts that can be combined in the subscription of the j-th type, and a discount for it in percent (2 ≤ k_j ≤ n; 1 ≤ p_j ≤ 100).

Output the minimum amount of money Denis has to spend to attend all the concerts. The answer should be given with an absolute or relative error not exceeding 10⁻⁶.

In the example, Denis needs to buy a subscription of the first type (with 10% discount) for all concerts, except the fifth one, and to buy a ticket for the fifth concert with a student discount of 50%.