Original Problem

Same problem but I will ask how many valid ways to build $$$M$$$ cubes after $$$N$$$ moves mod $$$10^9 + 7$$$ and $$$N \le 10^5$$$.I know how to solve it when $$$N \le 10^3$$$ , that is through DP but how when $$$10^5$$$ ? Is it related with Catalan numbers??

No you got it wrong , I amnot worried about getting hacked , I am sleepless continuously focused on hacking , 6th hack done , and hopefully more to come

This submission gets Time limit Exceeded with this generated input making the complexity reach $$$O(N^2*logN)$$$:

#include<bits/stdc++.h>
using namespace std;
int main(){
    
    cout<<1<<"\n";
    
    int n=100000;
    
    cout<<n<<"\n";
    
    for(int i=1;i<=n;i++) cout<<1<<" ";
    cout<<"\n";
    
    for(int i=1;i<=n-1;i++){
        
        cout<<1<<" "<<i+1<<"\n";
        
        
    }
    
    
}

But then I obviously optimized my code and made it unhackable unhackable submission

BledDest please add the hack test mentioned above in the tests of the problem

Hi I want to work in an HFT company or build my own startup for HFT.In codeforces there are many CPers who already work in HFT in companies like Pinely,tower research capital etc.So I want specific guidelines from you guys about what knowledge and skills I need to get into HFT.And to build my own startup how much investment and what hardwares do I need?My query is of two types:

• What abilities do I need to get into HFT?

• How much investment and hardware is needed to build an HFT?

If any of these two questions gets answered I will be very happy,Thank you

Is usaco website still down?Anyway to give January contest?