Problem Description
Avin is studying how to synthesize data. Given an integer n, he constructs an interval using the following method: he first generates a integer r between 1 and n (both inclusive) uniform-randomly, and then generates another integer l between 1 and r (both inclusive) uniform-randomly. The interval [l, r] is then constructed. Avin has constructed two intervals using the method above. He asks you what the probability that two intervals intersect is. You should print p* q(−1)(MOD 1, 000, 000, 007), while pq denoting the probability.
求逆元的几种方法:
Input
Just one line contains the number n (1 ≤ n ≤ 1, 000, 000).
Output
Print the answer.
Sample Input
1
2
Sample Output
1
750000006
规律:(n+1)*n/2/(n*n)
代码:
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