Statement
This question is based on bonus of this problem.
We need to count such triple $$$(a, b, c)$$$ that satisfy $$$(0 \leq a + b + c \leq S)$$$ and $$$(0 \leq a \times b \times c \leq T)$$$ and $$$min(a, b, c) \geq 0$$$
Since the result may be very big, you can either use bignum or modulo $$$10^9 + 7$$$ for convention
Notice that:
- $$$(0, 0, 1) \neq (0, 1, 0) \neq (1, 0, 0)$$$
Constraint:
$$$0 \leq S, T \leq 10^{18}$$$
$$$0 \leq a, b, c$$$
No Time Limit. But expect to be 10 seconds
Memory Limit: 1Gb
Input:
- A single line contain only two positive 60-bit integers $$$S$$$ and $$$T$$$ ($$$0 \leq S, T \leq 10^{18}$$$)
Output:
- Print a single integer, the number of positive tuple satisfy mathematical condition
Example
Example 0
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
