Cheems VS Doge solution codechef
Cheems’ girlfriend Cheema left him and went to Doge because he was bad at maths. The reason behind this was that when they were attending a maths lecture (Cheema’s favorite subject), her best friend Doge answered the mathematical question asked by the professor before Cheems.
This was shocking for Cheema, so she decided to leave him (Akhir Wafa ke badle Wafa kyu nhi milti). This was unbelievable for Cheems, so he decided to crack UPSC (Thukra ke mera pyar mera inteqam dekhegi). So the first problem he came across was as follows:-
You are given three integers, , and . Find the total number of subsets wherein the summation of the total number of prime factors of distinct numbers (lying between and both inclusive) is equal to .
The prime factor of a number is that divisor which has a factor as 1 and that number itself only. Can you help Cheems to solve this question?
Input Cheems VS Doge solution codechef
The only line of the input contains three integers –, , .
Output Cheems VS Doge solution codechef
Print answer to the given problem. Since the answer can be large, print answer modulo 1000000007.
Constraints: Cheems VS Doge solution codechef
Sample Input Cheems VS Doge solution codechef
6 14 5
Sample Output Cheems VS Doge solution codechef
We need to calculate no. of prime divisors for each integer between 6 to 14 (both inclusive):
Now we need to find no. of subsets such that sum of subset of this array is 5
There are 3 ways:
2+2+1: 30 ways
2+1+1+1: 40 ways
1+1+1+1+1: 1 way
Total 71 ways.
Codechef is an platform built to programmers compete against others in the community and to improve their knowledge by facing various challenges. Challenges are categorised on the basis of their difficulty level , if your rating is above 2000 you are in top tier i.e, Division 3 and if your rating is between 2000 and 1600 you will be in tier 2 i.e, Division 3 and if your rating is below that you will be in lowest tier i.e, Division 3. You can improve your rating by successful submission with minimum penalty.
- Game of Primes solution codechef
- Books and Friends solution codechef
- Run It Back solution codechef
- Buy Masks solution codechef
- How I Met Your Mother solution codechef
Also Read : Neenade Naa song lyrics with English Translation