Advertisement
Merevoli

Untitled

Jul 5th, 2022
599
Never
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
  1. import numpy as np
  2.  
  3. n = int(input())
  4. ta, tb, tc = [int(_) for _ in input().split()]
  5. pa, pb, pc = [int(_) for _ in input().split()]
  6.  
  7. base_matrix = np.array(
  8.     [
  9.         [pa - 2, 1, 1],
  10.         [1, pb - 2, 1],
  11.         [1, 1, pc - 2],
  12.     ],
  13.     dtype="object",
  14. )
  15.  
  16. unit_matrix = np.array(
  17.     [
  18.         [1, 0, 0],
  19.         [0, 1, 0],
  20.         [0, 0, 1],
  21.     ],
  22.     dtype="object",
  23. )
  24.  
  25. MOD = 10**9 + 7
  26.  
  27.  
  28. def pow_matrix(n):
  29.     if n == 0:
  30.         return unit_matrix
  31.     elif n == 1:
  32.         return base_matrix
  33.     else:
  34.         pow_2 = pow_matrix(n // 2)
  35.         if n & 1:
  36.             return np.dot(np.dot(pow_2, pow_2), base_matrix) % MOD
  37.         else:
  38.             return np.dot(pow_2, pow_2) % MOD
  39.  
  40.  
  41. t_matrix = np.array(
  42.     [
  43.         [ta],
  44.         [tb],
  45.         [tc],
  46.     ],
  47.     dtype="object",
  48. )
  49.  
  50. res_matrix = np.dot(pow_matrix(n), t_matrix)
  51.  
  52. print(*res_matrix)
  53.  
Advertisement
RAW Paste Data Copied
Advertisement