↓
~~~~~~~  +-----------------+  ~~~~~~~  h = a_1 + ... + a_n
   ↑     |                 |    a_n
         +-----------------+  ~~~~~~~  a_1 > ... > a_n
         .        .        .     ↑
         .        .        .           a_i/(a_i+1 + ... + a_n) =
         +-----------------+  ~~~~~~~   a_j/(a_j+1 + ... + a_n)
         |                 |
   h     |                 |    a_2
         |                 |
         +-----------------+  ~~~~~~~
         |                 |
         |                 |
         |                 |    a_1
         |                 |
   ↓     |                 |
~~~~~~~  |-----------------|  ~~~~~~~