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nialpdrome  and  nude n.

First numbers that belong to both sets:

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 111, 222, 333, 432, 444, 555, 666, 777, 864, 888, 999, 1111, 2222, 3111, 3222, 3333, 4332, 4444, 5555, 6222, 6432, 6444, 6666, 7644, 7777, 8664, 8832, 8888, 9333, 9432, 9666, 9864, 9999, 11111, 22222, 33111, 33222, 33333, 43332, 44444, 55555, 63222, 64332, 66222, 66432, 66444, 66666, 73311, 73332, 77322, 77777, 84432, 86664, 88632, 88872, 88888, 93222, 96444, 97776, 99333, 99432, 99666, 99864, 99999, 111111, 222222, 333111, 333222, 333333, 433332, 444432, 444444, 555555, 633222, 643332, 663222, 664332, 666222, 666432, 666444, 666666, 766332, 776622, 776664, 777777, 864432, 866664, 877632, 877744, 886632, 888432, 888864, 888888, 933111, 964332, 966222, 975555, 988632, 993222, 996444, 997731, 999333, 999432, 999666, 999864, 999999, 1111111, 2222222, 3111111, 3222222, 3333111, 3333222, 3333333, 4333332, 4444332, 4444444, 5555555, 6222222, 6333222, 6433332, 6444432, 6444444, 6633222, 6643332, 6663222, 6664332, 6666222, 6666432, 6666444, 6666666, 7111111, 7222222, 7444332, 7444444, 7555555, 7633332, 7763322, 7777644, 7777777, 8664432, 8666664, 8777664, 8844432, 8866632, 8874432, 8886432, 8888664, 8888832, 8888888, 9333333, 9433332, 9633222, 9666432, 9666666, 9733311, 9771111, 9777222, 9864432, 9866664, 9933111, 9964332, 9966222, 9988632, 9988776, 9993222, 9996444, 9997722, 9999333, 9999432, 9999666, 9999864, 9999999, 11111111, 22222222, 33111111, 33222222, 33333111, 33333222, 33333333, 43333332, 44443332, 44444444, 55555555, 63222222, 63333222, 64333332, 64444332, 66222222, 66333222, 66433332, 66444432, 66444444, 66633222, 66643332, 66663222, 66664332, 66666222, 66666432, 66666444, 66666666, 76662222, 76666632, 77111111, 77222222, 77444444, 77555555, 77733222, 77766444, 77773311, 77773332, 77777322, 77777777, 84444432, 86664432, 86666664, 87666432, 88644432, 88666632, 88766664, 88866432, 88884432, 88886664, 88888632, 88888744, 88888888, 93111111, 93333222, 96222222, 96444432, 96643332, 96663222, 96666444, 97662222, 97666632, 97777764, 98877744, 98888832, 99333333, 99433332, 99633222, 99666432, 99666666, 99777762, 99864432, 99866664, 99933111, 99964332, 99966222, 99988632, 99993222, 99996444, 99997632, 99999333, 99999432, 99999666, 99999711, 99999864, 99999999, 111111111, 222222222, 333111111, 333222222, 333333111, 333333222, 333333333, 433333332, 444433332, 444444432, 444444444.