For lower-range puzzles, such as puzzles 66 and 67, we usually use vanitysearch or bitcrack for scanning.

Can we increase the search speed? For example, for puzzle 67, by utilizing Albert's public key subtraction method, we select an intermediate-range public key, 0317c072d56bdd1382a782481b8aa4d2232db794385870bcadc3063330a5cd5379, which corresponds to the hexadecimal private key: 60000000000000000, with a hash160 value of: ba717128acc4c3262174e8459f023245d423519a. Then, we perform random addition and subtraction operations on it until we find the hash160 of the public key for puzzle 67: 739437bb3dd6d1983e66629c5f08c70e52769371.

Will this approach result in faster speeds? Only scalar addition is used here.