For given n, l and r find the number of distinct geometrical progression, each of which contains n distinct integers not less than l and not greater than r. In other words, for each progression the following must hold: l ≤ a_i ≤ r and a_i ≠ a_j , where a₁, a₂, ..., a_n is the geometrical progression, 1 ≤ i, j ≤ n and i ≠ j.

Geometrical progression is a sequence of numbers a₁, a₂, ..., a_n where each term after first is found by multiplying the previous one by a fixed non-zero number d called the common ratio. Note that in our task d may be non-integer. For example in progression 4, 6, 9, common ratio is .

Two progressions a₁, a₂, ..., a_n and b₁, b₂, ..., b_n are considered different, if there is such i (1 ≤ i ≤ n) that a_i ≠ b_i.

The first and the only line cotains three integers n, l and r (1 ≤ n ≤ 10⁷, 1 ≤ l ≤ r ≤ 10⁷).

Print the integer K — is the answer to the problem.