- **I can't think of a DP for this task help plz**↵
_Find the number of sequences (a1, a2,..., an) such that_↵
a[i]^2 + a[i + 1]^2 + ... + a[n]^2 = k↵
a[i] <= a[i + 1] <= ... <= a[n]↵
↵
- T is testcase↵
- n is quantity of number↵
- k is a[i]^2 + a[i + 1]^2 + ... + a[n]^2 = k↵
↵
- 1 <= T <= 1e5↵
- 1 <= n <= 100↵
- 1 <= k <= 5000↵
- example↵
- input↵
- 1↵
- 4 243↵
- output ↵
- 9↵
↵
- Explanation↵
- first 1 1 4 15 -> (1 * 1) + (1 * 1) + (4 * 4) + (15 * 15) = 243 — second 1 3 8 13 — third 1 7 7 12 — fouth 3 3 9 12 — fifth 3 4 7 13 — sixth 3 7 8 11 — seventh 4 5 9 11 — eighth 5 5 7 12 — nineth 7 7 8 9
_Find the number of sequences (a1, a2,..., an) such that_↵
a[i]^2 + a[i + 1]^2 + ... + a[n]^2 = k↵
a[i] <= a[i + 1] <= ... <= a[n]↵
↵
- T is testcase↵
- n is quantity of number↵
- k is a[i]^2 + a[i + 1]^2 + ... + a[n]^2 = k↵
↵
- 1 <= T <= 1e5↵
- 1 <= n <= 100↵
- 1 <= k <= 5000↵
- example↵
- input↵
- 1↵
- 4 243↵
- output ↵
- 9↵
↵
- Explanation↵
- first 1 1 4 15 -> (1 * 1) + (1 * 1) + (4 * 4) + (15 * 15) = 243 — second 1 3 8 13 — third 1 7 7 12 — fouth 3 3 9 12 — fifth 3 4 7 13 — sixth 3 7 8 11 — seventh 4 5 9 11 — eighth 5 5 7 12 — nineth 7 7 8 9