I'm not entirely sure how I'd go about spoilering this, so I apologize to anyone who stumbles by.

____

Working out the upper end in reverse was very helpful for finding a solution, before I'd done that, I had tried about half a dozen things, after solving all the forced moves possible there, my second try made it work.


                                                        /(1)\___
                                                        \44_/ 1 \
                                                            \43_/
                                                            / 1 \___
                                                            \42_/ 2 \
                                                            / 2 \41_/
                                                            \40_/ 0 \___
                                                            / 2 \39_/ 0 \
                                                            \31_/ 1 \38_/
                                                         ___/ 2 \32_/ 2 \
                                                        / 0 \30_/ 2 \37_/
                                                        \29_/ 2 \33_/ 2 \
                                                     ___/ 1 \28_/ 2 \36_/
                                                    / 2 \27_/ 1 \34_/ 1 \
                                                    \19_/ 1 \26_/ 2 \35_/
                                                 ___/ 2 \20_/ 1 \25_/
                                                / 0 \18_/ 1 \21_/ 1 \
                                                \17_/ 2 \22_/ 0 \24_/
                                             ___/ 1 \15_/ 1 \23_/
                                         ___/ 2 \16_/ 1 \14_/ 0 \
                             ___     ___/ 2 \_6_/ 2 \11_/ 0 \13_/
                            / 1 \___/ 1 \_5_/ 1 \_7_/ 2 \12_/
                            \_1_/ 1 \_3_/ 1 \_8_/ 0 \10_/
                                \_2_/   \_4_/   \_9_/