Little Chris is having a nightmare. Even in dreams all he thinks about is math.

Chris dreams about m binary strings of length n, indexed with numbers from 1 to m. The most horrifying part is that the bits of each string are ordered in either ascending or descending order. For example, Chris could be dreaming about the following 4 strings of length 5:

The Hamming distance H(a,b) between two strings a and b of length n is the number of positions at which the corresponding symbols are different.

Chris thinks that each three strings with different indices constitute a single triple. Chris's delusion is that he will wake up only if he counts the number of such string triples a, b, c that the sum H(a,b)+H(b,c)+H(c,a) is maximal among all the string triples constructed from the dreamed strings.

Help Chris wake up from this nightmare!

The first line of input contains two space-separated integers n and m (1≤n≤10⁹; 3≤m≤10⁵), the length and the number of strings. The next m lines contain the description of the strings. The i-th line contains two space-separated integers s_i and f_i (0≤s_i≤1; 1≤f_i≤n), the description of the string with index i; that means that the first f_i bits of the i-th string are equal to s_i, and the remaining n-f_i bits are equal to 1-s_i. There can be multiple equal strings in Chris's dream.

Output a single integer, the number of such string triples among the given that the sum of the Hamming distances between the strings of the triple is maximal.