Can anyone please provide any hint for this problem? Throwing Dice
→ Pay attention
→ Streams
→ Top rated
| # | User | Rating |
|---|---|---|
| 1 | tourist | 3856 |
| 2 | jiangly | 3747 |
| 3 | orzdevinwang | 3706 |
| 4 | jqdai0815 | 3682 |
| 5 | ksun48 | 3591 |
| 6 | gamegame | 3477 |
| 7 | Benq | 3468 |
| 8 | Radewoosh | 3462 |
| 9 | ecnerwala | 3451 |
| 10 | heuristica | 3431 |
→ Top contributors
| # | User | Contrib. |
|---|---|---|
| 1 | cry | 167 |
| 2 | -is-this-fft- | 162 |
| 3 | Dominater069 | 160 |
| 4 | Um_nik | 158 |
| 5 | atcoder_official | 156 |
| 6 | Qingyu | 155 |
| 7 | djm03178 | 151 |
| 7 | adamant | 151 |
| 9 | luogu_official | 150 |
| 10 | awoo | 147 |
→ Find user
→ Recent actions
Codeforces (c) Copyright 2010-2025 Mike Mirzayanov
The only programming contests Web 2.0 platform
Server time: Feb/22/2025 11:47:55 (g1).
Desktop version, switch to mobile version.
Supported by
Let f(n) be the number of ways of throwing dices to get a sum of n, Then consider the last dice throw. It has 6 possibilities 1-6. So f(n) = f(n-1) + f(n-2) + ... + f(n-6).
The recurrence is correct. However, unfortunately, it TLE's. There is hope though. This is a linear recurrence can be computed for arbitrary values of n using fast matrix exponentiation. Here is a geeks for geeks article that illustrates the technique in action https://www.geeksforgeeks.org/find-nth-term-a-matrix-exponentiation-example/
My fav trick in such problems:
1. precalc first 20 values
2. use Berlekamp-Massey algorihm to compute n_th value of Linear recurrence
source: https://codeforces.me/blog/entry/61306?
another problems:
https://codeforces.me/contest/392/submission/51596991
https://codeforces.me/contest/678/submission/51597127