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3821 - Magic Digits
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==Rezolvare== <syntaxhighlight lang="python3" line="1"> MOD = 666013 def numere_grad_frumusete(N, k): # Funcție auxiliară pentru calculul coeficientului binomial def comb(n, r): result = 1 for i in range(r): result = (result * (n - i)) % MOD result = (result * pow(i + 1, MOD - 2, MOD)) % MOD return result # Funcție recursivă pentru generarea numărului de aranjamente def count_arrangements(digit_counts, current_k): if current_k < 0: return 0 if current_k == 0: # Calculăm numărul de moduri în care putem aranja cifrele result = 1 for count in digit_counts: result = (result * comb(N, count)) % MOD return result total_arrangements = 0 for i in range(1, 10): # Adăugăm cifra i și continuăm recursiv new_digit_counts = digit_counts[:] new_digit_counts.append(i) total_arrangements = (total_arrangements + count_arrangements(new_digit_counts, current_k - 1)) % MOD return total_arrangements return count_arrangements([], k) if __name__ == "__main__": # Citim datele de intrare N, k = map(int, input().split()) # Calculăm rezultatul și afișăm rezultatul modulo MOD rezultat = numere_grad_frumusete(N, k) print(rezultat) </syntaxhighlight>
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