#[05AB1E](https://github.com/Adriandmen/05AB1E/wiki/Commands), 61 [bytes](https://github.com/Adriandmen/05AB1E/wiki/Codepage) •1∞Γ'иÛnuÞ\₂…•Ž8вв€SÐ)v.•6#&‘нδ•u3ôNèyè}'M3L×)Rεõš}`3Fâ}€˜JIå [Try it online](https://tio.run/##AXgAh/9vc2FiaWX//@KAojHiiJ7OkyfQuMObbnXDnlzigoLigKbigKLFvTjQstCy4oKsU8OQKXYu4oCiNiMm4oCY0L3OtOKAonUzw7ROw6h5w6h9J00zTMOXKVLOtcO1xaF9YDNGw6J94oKsy5xKScOl//9NTU1DTVhDSVg) or [verify all test cases](https://tio.run/##yy9OTMpM/V9Waa@k8KhtkoKS/f9HDYsMH3XMOzdZ/cKOw7PzSg/Pi3nU1PSoYRlQ4uheiwubLmx61LQm@PAEzTI9oJCZstqjhhkX9p7bAuSUGh/e4nd4ReXhFbXqvsY@h6drBp3benjr0YW1CcZuhxfVAjWenuNVeXjpf53/0Uq@vr7OvhHOnhFKOkq@zs4RERGeYUCms68PkBnm6ekJ5LhAxYBsBaAGT5i4ZxhIF5AL0gsEQAqkCSwY5qkUCwA). **Explanation:** <!-- language-all: lang-python --> *TODO: Will add an explanation tomorrow after I golfed it some more..*