T(n) = T(n/4) + T(n/2) + n^2,  n = 1024  (level ratio 5/16 < 1)
  level  0  nodes =      1  level cost =     1048576.00  running total =     1048576.00
  level  1  nodes =      2  level cost =      327680.00  running total =     1376256.00
  level  2  nodes =      4  level cost =      102400.00  running total =     1478656.00
  level  3  nodes =      8  level cost =       32000.00  running total =     1510656.00
  level  4  nodes =     16  level cost =       10000.00  running total =     1520656.00
  level  5  nodes =     32  level cost =        3125.00  running total =     1523781.00
  level  6  nodes =     57  level cost =         975.00  running total =     1524756.00

T(n) = T(n/3) + T(2n/3) + n,   n = 1024  (level ratio 1)
  level  0  nodes =      1  level cost =        1024.00  running total =        1024.00
  level  1  nodes =      2  level cost =        1024.00  running total =        2048.00
  level  2  nodes =      4  level cost =        1024.00  running total =        3072.00
  level  3  nodes =      8  level cost =        1024.00  running total =        4096.00
  level  4  nodes =     16  level cost =        1024.00  running total =        5120.00
  level  5  nodes =     32  level cost =        1024.00  running total =        6144.00
  level  6  nodes =     64  level cost =        1024.00  running total =        7168.00

T(n) = 4T(n/2) + n,            n = 1024  (level ratio 2 > 1)
  level  0  nodes =      1  level cost =        1024.00  running total =        1024.00
  level  1  nodes =      4  level cost =        2048.00  running total =        3072.00
  level  2  nodes =     16  level cost =        4096.00  running total =        7168.00
  level  3  nodes =     64  level cost =        8192.00  running total =       15360.00
  level  4  nodes =    256  level cost =       16384.00  running total =       31744.00
  level  5  nodes =   1024  level cost =       32768.00  running total =       64512.00
  level  6  nodes =   4096  level cost =       65536.00  running total =      130048.00

Leaf-count identity  a^(log_b n) = n^(log_b a):
  a = 2.00, b = 2.00, n = 4096 : 4.096000e+03  vs  4.096000e+03
  a = 4.000000e+00, b = 2.000000e+00, n = 4096 : 1.677722e+07  vs  1.677722e+07
  a = 3.000000e+00, b = 4.000000e+00, n = 4096 : 7.290000e+02  vs  7.290000e+02
  a = 9.000000e+00, b = 3.000000e+00, n = 4096 : 1.677722e+07  vs  1.677722e+07
  a = 7.000000e+00, b = 2.000000e+00, n = 4096 : 1.384129e+10  vs  1.384129e+10
