A firework explosion consists of four stages.
First, the firework rises A units above the ground, then it splits into two parts of length B, each of which splits into two parts of length C, which eventually split into two parts of length D.
Help visualize the firework explosion.
Note that the firework effect exists only above the ground (see example 3).
Input
Four integers A, B, C, D (1 \le A, B, C, D \le 10).
Output
Visualize the firework.
Examples
| standard input | standard output |
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