ACM essential template - Number Theory
number theory
Prime table
Number of prime numbers with length i
cnt [ 1 ] = 4
cnt [ 2 ] = 21
cnt [ 3 ] = 143
cnt [ 4 ] = 1061
cnt [ 5 ] = 8363
cnt [ 6 ] = 68906
cnt [ 7 ] = 586081
Prime table within 1000
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
53 59 61 67 71 73 79 83 89 97 101 103 107 109 113
127 131 137 139 149 151 157 163 167 17 ...
Posted by deeem on Wed, 01 Dec 2021 13:14:09 -0800
Active Thought Training 4 | CF Number Theory 2000+ | Last Five Questions
G: The LCMs Must be Large | CF 1166E
meaning of the title
The LCMs Must be Large | CF 1166E Given a
n
n
n given
m
m
m groups of data, each set of data is ...
Posted by mikkex on Fri, 12 Nov 2021 12:20:26 -0800
2021 Niuke winter vacation algorithm basic training camp 1D parallel search set inverse element combinatorial mathematics two-dimensional grid to one-dimensional precautions
subject
Problem solving ideas
Firstly, the idea of two-dimensional to one-dimensional is discussed. Convert each point to abscissa multiplied by N + ordinate. It seems that it can be realized, but this problem needs four points, so 3 and 4 are implicitly connected. So it will be Wa. When we first increase N by 1, each available XY will not ...
Posted by Bloodwine on Wed, 10 Nov 2021 20:13:54 -0800
E. Height All the Same-Codeforces Round #630 (Div. 2)
E. Height All the Same
General idea of the topic
Given the grid of \ (n * m \), cubes can be placed on each grid. Initially, there are \ (a_{i,j} \) cubes on the grid with coordinates of \ ((i,j) \). Now there are two operations:
Select two adjacent squares and place a cube on top of each
Select a person's Square and place two cubes on it
It ...
Posted by Adarmo on Mon, 01 Nov 2021 04:53:03 -0700
[NOI P simulation] large factorial (Stirling number)
meaning of the title
seek
16
16
In hexadecimal,
n
!
n!
n! Remove the tail
0
0
...
Posted by asterinex on Sun, 31 Oct 2021 08:21:42 -0700
BSGS and extended BSGS
summary
It is mainly used to solve the an=b(mod p) problem and solve the minimum non negative integer n to satisfy the left formula. Ordinary BSGS can solve the case of a and P coprime, and extended BSGS can solve the case of non coprime
Common BSGS
Problem solving steps
1. Take m=ceil(sqrt ยง) (rounded up). If the solution exists, ...
Posted by EZE on Sat, 25 Sep 2021 22:11:21 -0700
On Mobius function & Inclusion exclusion theorem (example: number coloring, complete square number)
Today, I spent a day grinding Mobius function and did two questions. I have a lost understanding of Mobius. If I want to take notes, I'll write this blog
First, let's introduce what is an integral function. When gcd(a,b)=1 and f(a,b)=f(a)*f(b), f(x) is an integral function. For any a and B, f(a,b)=f(a)*f(b), it is called a complete integral fu ...
Posted by ardyandkari on Tue, 21 Sep 2021 01:33:37 -0700
PTA-L3-023-calculation diagram, and some of my thoughts on the calculation diagram
Portal
Define dp1[u] the function value of the function composed of all points reachable by u sign; dp2[u] represents the partial derivative value of the function composed of all points reachable by u to the variable represented by varIdx, where varIdx is enumerated one by one outside the dp2 solution process and input.
Because we build an in ...
Posted by stefandv on Mon, 20 Sep 2021 08:40:16 -0700