Domino's pizza is the tastiest pizza to exist, and the reason for that is his special, juicy homegrown tomatoes. Domion's Tomatoes can be grown in rectangular patches of any side lengths. However, Chef only has a limited amount of land. Consider the entire town of Chefville to be consisting of cells in a rectangular grid of positive coordinates.
Domino's pizza is the tastiest pizza to exist, and the reason for that is his special, juicy homegrown tomatoes. Domion's Tomatoes can be grown in rectangular patches of any side lengths. However, Chef only has a limited amount of land. Consider the entire town of Chefville to be consisting of cells in a rectangular grid of positive coordinates.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Domino's pizza is the tastiest pizza to exist, and the reason for that is his special, juicy
homegrown tomatoes.
Domion's Tomatoes can be grown in rectangular patches of any side lengths. However,
Chef only has a limited amount of land.
Consider the entire town of Chefville to be consisting of cells in a rectangular grid of
positive coordinates.
Chef own all cells (Xy)(x.y) that satisfy X*VSN×*vsN
As an example if N=4N=4, Chef owns the following cells:
(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(3,1),(4,1)(1,1).(1,2),(1,3),(1,4),(2,1),(2,2),(3,1),(4,
1)
Chef can only grow tomatoes in rectangular patches consisting only of cells which
belong to him. Also, if he uses a cell, he must use it entirely. He cannot use only a
portion of it.
Help Chef find the number of unique patches of rectangular land that he can grow
tomatoes in! Since this number can be very large, output it
modulo 10000000071000000007.
Sample Input:
2
4
10000000000
Sample Output:
23
227374950
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