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  1. import sys
  2.  
  3. inp = sys.stdin.read().split()
  4.  
  5.  
  6. p = list(map(int, inp))
  7. n = len(p) - 1
  8.  
  9. if n == 1:
  10. print("A1")
  11.  
  12. m = [[0] * (n + 1) for _ in range(n + 1)]
  13. s = [[0] * (n + 1) for _ in range(n + 1)]
  14.  
  15. for l in range(1, n):
  16. for i in range(1, n - l + 1):
  17. j = i + l
  18. m[i][j] = float('inf')
  19. for k in range(i, j):
  20. q = m[i][k] + m[k+1][j] + p[i-1] * p[k] * p[j]
  21. if q < m[i][j]:
  22. m[i][j] = q
  23. s[i][j] = k
  24.  
  25. def pop(i, j):
  26. if i == j:
  27. return "A" + str(i)
  28. else:
  29. k = s[i][j]
  30. return "(" + pop(i, k) + pop(k + 1, j) + ")"
  31.  
  32. r = pop(1, n)
  33. print(r[1:-1])
  34. # your code goes here
Success #stdin #stdout 0.07s 14060KB
stdin
4 9 2 12 5 20
stdout
(A1A2)((A3A4)A5)