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From end of bridge move diagonally up/right to 1, to 2, back to 1, to 3, to 4,
back to 3, back to 1, back to bridge.
From there move diagonally down/right to 5, to 6, to 7, to 8, to 9, to 10, to
11, to 12, to 13, then back to 12, to 10, to 9, to 7, to 6, to 5, then to 14, to
15, to 16, to 17, to 18, to 19, to 20, back to 19, to 18 (which you have just
switched off again so back to 19 and back to 18), to 17, to 16, to 15, to 21, to
22, back to 21 (which you have just switched off again so back to 22 and back to
21), and your bridge is ready to cross.
Solution by popo.