Topic: Pollard's kangaroo ECDLP solver - page 35. (Read 58537 times)

░̶̡̢̛̜̻̲̱͓̪̜͕̪̼̘͓̥̭̤͙̰̭͉͈̝͉̝̤̥̱̜̊̆̓̎͐̈́̂̋̓́̎̾̅̓̎̈́̈́̏̚͜͜͝͝ͅͅ█̸̡̧̨̡̩̞̦̦̘̰̻͔̣̩̠̳̖̭̺͎͎̗̥̼̬̙̫̺͓̯͍͓̣̋͐̾͑̈́̈́̌̈̓̅̅̅̄͒͗́̇̍̅̏̈̂̍͋̔̌̎̕͘̕͠͝͝͝█̷̳͎̊͝█̵̛͍͙̃̎̐̈́̉͗̓̌̾̃̀̓́͋͊̀͛̓͋͘͘͘͜͝͝͝͠͠͝█̸̨̢̢̡̡̛̛̠̻͎̲̭̝͈̞̘̼̯̭̠̤͇̥̝̗͓͚̱̱̞̣͕̩̖͓̟͔̝͕̥̹̩̹̟̜̮̫̻̤̅͋̀̉͛͂̈́̉̾̽͑̈̉̀͊̋̈́͗́̓͛͊̐̈́̀́͘͘̕   █̷͇͙͙̈́̓̾͑͌̒͒̓̋̈̾̌̒̑̽̂̒͂̉̓̊̆́̀̈́̈͑̓͋̽̄͘̕͝͝͝█̶̨̞̭͙̳̯̤̣͓̞̞̳̳̈́͊̏͛́͛̋̏̽͊̋͂͜╗̵̢̢̛͍͉͍̠͔̰̯͙͕̣͔̖͇̟̩̥̳̀̋̉̾̌͒́̈́̈́̀͆̐̉̎̋́͗̈́̑̈́̓͑̉̀̅̾̑̏̓̌̓̏̓͊̈́̎͑̍̿̂̈͛̚͠͝͠͝͠͝█̷̡͎͉͕͕͔͎̭̈́̓̽̊͌̍̓͛̀́͌̄̎͛̓̑̚͝͝͝͠█̵̡̡̧̻͉͍̟͔̲͖̤̣̜͉͈̬͍̦̲̪̭͚͛̍̿͌̽̓͒͋̍̉́͜͜ͅ╗̶̧͓͕̙͓̺͎̗͎͇̹̤̣̠̪̗͚̭̗̝̱̫̱͚̘͐̾͆̔̂ͅ░̸̧̢̡̛͚͕̫̬̻̞̥̼͔̰̤̩͚͉̺̩͍͈͚̹̼̬̣͔͈̱̥͔̥̫̬͎̙̳̞̠̗͊̓͐̓̓̔͐͒͊̊̎͌̈́̄͛̐̅̔̋͒͆̽̀̽̋͂͘͘̚̕̚͘͠͝͝ͅ░̷̢̢̨̛̛̮͍̖̩͚̲͚͕̞̗̩̫̥̻̰̹̳̘̝̟̻͔̜̹̫̱͔͔͇̺͈̘̭͖̱͒̐̊͗̊̾̊̊̈́̈́́́̈́͐̈́͂̊̈̀͌͗͗̔͗̑̆̌̈̿͐̆͒͋̄̌̄̀̈́͜͜͝͠͝͠͝░̸̡̧̢͖̯̪̖̦̟̖̦̬͇͔͇͓̦̰͙̟͉̜̥̫̑̅̾̈́͆̃͌̀͐͋̄̔̅̚̚͝͝ͅ█̶̢̢̢̧̨̨̢̨̛̛̻̩̘̘̯̭̻͈͍̞̰̞̞͉̩͚̰̥̰̼̝̻̗̝̮̳͍̼͇̖̺̞͖͙͕̈́̈́̔̋͛̍̀̈́͗̃̚͜͜͜͠͠ͅ█̵̡̨̨̡̛̛̙̻̻̯̜͙̲̥̬̩̤͚̖̯̟̝̦̦̙͓̰͚̤̗̯̪̞́̋̈́̊͋╗̵̡̛̛̛̛̣̝̫̙̗̗̯̫̪̱͕̻̪̤̩̱͔͖̳̮͙̟̳̣̞̦͉̬̯̩̥͖͕͈̺̜̻͉͐̏̿̀̃͆̓̋̋̒̅̏͛͊̓̽̄̌̒͌̈́͐͘͝͝͝ͅͅ░̴̯̤̺̺̳̼͇̪̬͔͎͔̞̹̹̫̭̼̭̱͖̟̝̱̜̠̙̝͕͈͓͇̥̼͓͖̲̯͇̲͉̠̬̭̬͋̽̓̔̂̈̐̀̈͌̂̆̔̍̔͛̓̓̉̽͗̈́͗͑͜ͅͅ█̵̡̨̛̛͔̦͙̩̤͓̪̩̣͕̤̱̱̞̻̝͚̱̹̩͖̞͙̠͔̘̳͎͍̮̖̰̺̘̰̲̪͇͆̈́̓͌́͊̽̆̇̀̃̈́͂̌̿́̂͂͛̿̋͗̃̀̾͋̕͜͜͜█̸̧͍̝̺̫̥̝̱̺͖͔͚̈́̾͊̑͑͒̐̏͂̀̿̀͊̊͑̆́̎̍̐̅̕̕̚͠  █̵̢̛̞̘̰̞̖̦̜̜̑̎͊͘█̵̨̢̢̛̝͈͍͓̙̬̜̼͈͚̺̗̺̱̟̮̱͉͕̟̣̜̦̱͔̼̙̺̭͚͓̞̙́̓̇̑́͒͑͐͗̌̍̐́̇̔̆̆̆̋̑̃̆͜͝ͅ█̷̨̧̡̛̛̼̯̩͉̬̼̱͎̮̘̪̼̩̗̲̲̮͍̯̤̥̘̤̜͖͈̗̰̱̮̌̀̂̀̄͛̀̋̐̾̄̃̆̓̈́̈́̋͆͆͑͊͊̽̈́͐̆͗͑̃̈́̽̆̒͂̔̋̏͒̈̍̏̕͘͘͘͘͘͠ͅͅ█̷̢̡̛̛̰̩͈̲̬̼̪͖̙͔͖̤͔͎̣̰̪͎͌̎̈͊̍̆̎̀̏̍̏̉̈́͑͋̋̕͘̚͝╗̵̨̢̖͚̥̩͕̺͉̪̆͐͊̒̆͛͆̈́̀͋̎̇͆͗́̆͋̃̿̃̌̊̓̏͛́͗́̀̓͑̏̓̍̈́̚̚͝͠͠͠͠
̶̧͓̙̍̂̑́͗͑̒̈́͆̽͑̍͑̓̐̄͑̎͒͗̆̀́̀̄̚͘̕͠█̴̧̢̛̛̜̺͈̭̠̖̭̜͈̙͚̗̦̭̺͍̠̜̮̖̥̺̹̹̣͈̖̗̪̗̳̝̮͉͇̱͚̦͓͎̫̰̱̰͚̌̇͐̂́̈̃̿̑͂͛͂͊̓̐́̆̂̈́̍̇͐̐̍́̐͐̆̐͆͊̍̈̀̕͜͜͠͝█̶̨̨̢̨̫͚̰̱͉͕̭̤̗̖̯͕͍̻͉̯͈̼̳̲̫̝̬̥̜̦̜͔̱͈̰̞̮̭͈̲͍̰͔͖̗̟̓͛͌́̏̀͗̿̆͂͗̒͗͌̊̌͒͑̑̈̀͑̆̏̃̽̃̐̀͆̕͝͝͝͠͝ͅͅ╔̴̡̢̧̨̡̢̛͈̥̞̭̫̤̼͔̪̻͙̥͓͓̫̙̲̼͓̳̪͚̭̠̞͈̜̲̝͕̹̳̤͚̗̋͌̑̓̇̅́͂̾̓̀̀̎͗͌̉̊̃͊̈́̋̒̈́̎̍͗̎̉́̊̆̍̽̈́̕͘͜͝͝͠͝ͅͅ═̷̛͍̩̜̟͇̼̻̰̳̳̥̙̻͕̠̱̻͖͔͎̳͔͙̱̝͎͉̖̤̼̠̬̰̫̺̝̹͔̙͚̥̝̻̲́͋̉͋́̓̉̏̌̽͆͆̊́̐̑̔͗̉͂͛̃̽̅̋̕̚͠͠͝ͅ═̵̛̖͕̮̰̞̹͉̮̮̩͓̝̖̓̇̈̌̓̔̄̅͊̈́̏̅͗̀̔̀͒̓͗̌͐̐̋̇̆̽̏̓̾͑͆̒͘͘͘̚͜͜͝͝͠͝═̸̢̢̡̛̗̖̠̦̗̬͙̮̲̪͓̞̤̣̩̺̯̳͍̦͎͖̯̬̘̞̹̭̪̫͉̿̈̂̎̍͊̊̽͑̎̊͛̆͜͜͜͝͝ͅͅ═̷̡̧̛̛̘͓͔͕̪̞̜̘̻̹̲̬̥͓̞̺̙̞̙̣͈̯̙̖̙̫̆̃̑͌̐̈̔̂̂̔̓̀̐̈́̅̆̏̈́̊̅̔̈́͐̀̎́̄̓̌̆̿̈́͑͘͝͠͝╝̴̨̧̧̨͇̣͇̬̻̰̹̙̯̼̮͇̲̲͚̲̼͓͈̰͚̩̱͇̮̠͇̟̹͔͖͍̤͈͇͕̥̺͚̤̞̙̑̽͑̓̇̇́̄̈͒̀̊͜͝     █̵̛̰̞̂͐̇͊̄͂͌́̍͋̓́͒͐̑̀̓̒͒̑̉̋́̍̈́͂̊̆̀̂͛̈̇̎͝͠͝͠█̵͎̮̔̓͊͆͐║̶̢̝͈̬̃̒̎̅̎̏͑̏͗̂̐̅͑̕͝░̸̧̧̡̨̛̠̞̳̠͉͓̞͔̭̣̩̞̠̤̳͈̼̻̖͎͇͙͇̪͗̊̀̄̔̊́͒̓̈͒̓̋̏̈́̆̊̂̃̃̾̃̓̽͒̈́̿͌̅̍̚͝͝͝͠͝░̷̢̢̡̪͍͇̜̹̯͖̹̥̳͈͔̝͚̙̖̻̯̮̟̮̙̩̼̫̯͖̰̣̤̝̮́̈́̈͐͌̒̒̔́͛͑̈́͗͘͘͠͠░̸̡̨̨̘̳̜̜̖͉͓͎̬̟͙͇̯̙͖̳͖͇̲͓͙̹̩͖̱͚̖̺̘̖̳̜̻͙̄̏̐̀́̒̀͒̅͂͋̒̒ͅ    █̴̡̘̪̹̻̬̭̯̣̦͔͖͈͙̥̫̲̮̪̖̱̇͒̎ͅ█̵̧̧̨̗̰̪̲̲̪̰̦̺͚͇̳̬̫̍͌̾͝ͅͅ║̸̧̡̡̛̣̖̮͇̻̫̘̭̣̼͚̩͚̣̭̗͚͇͚̙̫͖̳̬͛̃̀̉̀͐͛̇͂̀͐͛̿͊͆̂͑̈̆̈́̓̂͜͠  █̴̡̧̯̳͖̜̣̰͖̫̝͚̠̲̘̫̻̗̩͉̠̗̤̮̪̺̝̔̀͗̚͜ͅ   █̸̨̧̨̢̫̼͔̪̺̟͙̺͉͚͍͔͍̞̣̰̻̱͎̬̠̝͕̰͇̱̟̯̞̙͓͚̺̱̺̯͖̖̹̳͇̈́͑̂̆̊͑̑͘͜͜    ╔̸̧̻̪̳̜̜̞̼̯̯̗̘̃̌́̄̈́̉̑̑̈͛͌̄̑́͝͝═̴̨̢̧̰̫̲͚̩̟̘̼͓̳̳̳͎̪̳̬͈̯̜̬̟͈̭͓̞̳̬͍̹̰̘̖̻͓̼̤͒͗̂̆̂͛͆͌̊̓͋̀̓̑̆̿̽̈́͆́̊͆̇̑̇̐̀͂̔́͘͘̚͘̚̚͝͠͝͝═̷̢̢̢̡̣͚̝̣̪͚̣̙̦̰̖̟̗͖̖͚̹͇̳̘̲͍͙̯͇͍̲̺̱͍̪̟̞̪̩͎͕̠̓́̉͂̅̐̒̀͋͆̌̄̅̈̋̕̚͜͝ͅ═̸̧̞̙͕̝̼̤̪͙̦͎̘͖͖͉͎͔͓͚̙̠̆̈̍͌̀͂̑̽͝͠͝͝═̴̧̜̰̜̠̭̻̬̩̹̟͈̘̯̬͔̲̭͇̰̩̙͈̦͖̮̮̃̄ͅ╝̶̡̧̛̻̖̣̳̱̮͉̰̫̻͍̠̺̻̬̮̘̭̜̤̪̖̗͎͔̘̞̱͍̤̓͛̇̎͊̈́̊̊͊̎̀̒̆̃̀̽̍́͐̽͂̏́̏͘͜͠͝͝͝͝
̷̢̢̢̡̧̩̖̦̰̙̦͎̞͓̟̪͚̫͙͉̫͎̱͔̯̫̮̜̙͓̱̬̙̺͈̭̳̲͍̦̪̃̈́̋̄́͊̄́̊́̈́̅̿͐̔̈́̓̑̆̑͌̂̈́̂͗̍̈́̓͗͊̓̓̈́̎̀̒̕̕̚͝͝͝╚̸̣̅̌̌́̍̈́̎͗̈́͋͌͒́̇̓̏̾͂̎̄̈́̌͛̅́̔̇̽͐̈́̕̚͘̚͝͝█̵̝̖̹̤̌̎̂̓͒͆̐͊̑̏̀͋ͅ█̷̨̨̧̨̢̼̦̠͎͔͕͈̬̭̲̠̟͓̣̯̲̜̘̪̝̣̜͍̳͕̣̤͔͇͔̥̻͓͓̱͈̩̹̟̙̻̠̤̝̫̏͛  █̸̛̲͎̟̯̺̝̱̪̞͍̄̇̏̋̓͐͌̍̏͗̈̇͒̀̌̓͒̐̑̏̾̇͑̑̃̎̏̂̕͘͘̚͜͠     █̴̨̧̨̛̞̗̖͉͎̞̤̖̼̩̤̰̹̝̰̯̃̊͐̾̍̍͋̐̆͑́̈́͂́̾́͠͠█̷̡̛̹̭͍͔̩̱̙̻͎̖͈̱̲̒̎́̇̈́́̌̓̂̿̄̀̇̎̔̾̅̎́͐͊́̿͆̄͐͛͘̕͘͝͝͝╗̴̨̨̛̛̜̫̞̼̟̬͉̻̼͎͉̘̣̺͔̝̟͔͇̠̜̟̺͉̮̹̟̻͕̼̫̐̈̈́̽͒͑̑̈́͒̂̐͆̑̏̎͛͆͑̎͑͛̐͂̉̓̎̔̈̋͗̒̕͝͠͠͠░̶̛̠̝̗͊͂̌̋͋̾͗͛̓͌̉̌͆̃̆͆̿͆̍̒̔̏̃̆͛̌̓̿̈́̓̒̈́̕̚͝͝͠͝  █̵̧̢̪͍̺̜̣͕̪̯̻͇̰̩̥̖̜͇̠̦̠̙̱̬̳̻͈̼͔̥̤̺͎̭̐̔͜ͅ  █̸̡̡̧̞̯̳̼͇̰͈͎̹̳̥̖͉̹͔̮̲̱͉̩̭͒̄̿͋̏͛̌̓͜║̸̡̢̨̡̢̼̩͓̟̝̠͖͉̪͚̙̘͕̖̞̰̺̳̖̣̭͎̳͈̞̖͍̖͎̬͖̯̣̔̽̀̓͑̿͊̈́̉̔̓͛̒͂̋̈́̓͆̈̈́͆͛̏̏̉̈́̈́̎̇͂̎͂̇̓̌̅̉̃̉͜͜͜͜͝͠͠͝͠͝͝͝░̷̧͔̬̤͙̪̮̜͍̪̳̤̥͉̖̤̦͔̮̪͖̫̜͙̣̥̙̓́̓̔̉͒̀̈́̿̔͗̈́̈́͑͑̃̅͐͂̎͂̌̿̑́̈̓̒̐̎͜͝͝͠͝͝░̷̢̢̨̨̨̢̢͙̞̥̝͇̝̣̯̱͖͇̠̰͎̪̣̝̳͕͔̩̻̪͍̮̩͕͊̈́̓̊͗ͅ░̵̨̡̛̦̞̜̗̮̯̠̺̟̞̼͔͕͖͇͙̩͍̹͂̈́͒̎̈́̉́͜͜͠͝ͅ    █̴͚̭̯̗̳̃̀̒̽̌̽͊̓̌̏͒͆̔̔̋̽͗̂̾̔̓̄͋̎̍͆̐̈̈͗͘͘̚͠͠͝͠͝͠͝█̶̢̢̛̛̛͕͈͎̝̳̰̙͓̲͕͍̀̂͛͐͂̿́͌̈́̌̐̿̂̏̇̃̇̓̚͝͝║̴̻̣̮̟̹̘̞̖̜̪̤̫̠̱̺̝̙̙̘̥̹̮͖̪̟̮͉̞̺͔̤̰̥̠̼̼̞̺̖͑̍͒̿̄̃͊̍̓͜͜╚̸̨̛͇̹̞̙͖̣͓͍̀̽̆̈́̌̾̈́̾̎̽͑̂̒̅̈́̾̌̂̒̂̐͌͌̌͌̑̅͊̕͘͝͝█̷̢̱̰̜̫͖͈̝͙̪͓̦͎͈̘̄͛́̈͌͊̓̀̃͒̅̔͂͛̀̊͊͊̈́͐̈́̑͋̿̂͝█̵̢̡̛̰̲͉̲̺̝̝̫̈́̈̋̀̀̐͆͒̊͋̓͛̆͌̍̓̾͛͆͐͌̎̋̅̍͛̑̈̓́́͋́̽̾͒̃̚͘͠͠͠͝͠͝   █̶̨̨̛̱̜̯͑̅͂̋͋̐̂̈́́̍̇̓̇̇̅̀͠͠█̷̢̡̨̛̜̹̳͇̰͓͔̞̆̊̄̈́̍̑̽̐́̊͂̈́̂̒̽̇̋̅̾̓͆̅̀͐̌̒͑́̎͘̕̚͜ͅ█̴̨͎͍̱̜̺͈̝͔̣͇̹͈̤̿͛̃̀͒̾̇̈̉̀͐̀͊̑̿̚͝͠͝╗̴̧̛̪͚̖͙̫͍̼̎̈́̉̃̀̇̋̑͂̂̔̐̐́͒̅̽̌͒͒̅̂͛̀͐̆͌̾̅̓̕̕͜͜͝͝͝ͅ░̸̡̧̧̫̺̬̲̪̺̖̘̺̹̟͔̤̤͍̪̺͎̙̠̬̤̦̩̼̙̩̫͍̠͙͎̗̳̀̊̿͛̈́̿̐̔̒̈́̋͛͐͂͋̈̒̉̋̓̀͑͊̇̂̈́͆̒̉̑̓͊̏̀̅̅͘̚̕̚̚͝͠ͅ
̸̢͕̗̞̬̠̘̩̼̮͓͎̥̗̼̠̤͕͇̳̣̹̦̦̘̺͇̯̩̥̻͙̬͐͗̈́̀̀̊̇̐̎́͂͊͂̈́̄͐̒̈́̿̓̄̒͆̎̍͐́́͘̚͜ͅͅ░̷̨̨̛̛̙͉̳̯̩͉͚̜͍̘̩͇̘̼͖̬̲̝̹̞͎̮̝̰̩̦͇͖͙̠̞̪̮̪̣̇̒̅͒̓̒̌̎͛̄͆̎͌̐͊̈͊͐̓̏̎͝͝͝͝ͅͅ╚̷̧̢̢͖̝̥͚͍͉͇̤͚̰̼͇̫̮̱̮̼̰͖̞̫͉̩̲̹͈̘͕̳͇́̆͂̈́͂͋͌̌̀̔̑̋̂͌͊̍̈͒̑̇̋̌̾̋͆̿̐̓̀̇͛͐̀̒̊̽̐̊̈́͑̈́̚͝͝ͅͅ═̷̛̟̈́̅̑̾̏́̉̈́̍̐̿̊̇̀̕͘═̷̧̼͈̩̫̭̖̫̠͓͂͗̾̈́̋̈́̊̀̆̎̓̐̋͗͜͝═̶̳͓͉͈͙͖͔̭̹̯͍̣̎̓͌͋́́̃́̂͊̈͆̈̀̔͋̕̚█̷̯̹̯͙̹̗̼̻̺̮̽̉͐͂̀̎̂͗̾̈́͝͝█̸̢̨̡̡̝̭͖̟̥̱̗̥̗̻͈̦̙͚̰͉̹̈́̊̄̔̿͐̈͆͒̋͆̈́̎̃̿͆̇̚͝͝ͅ╗̵̦̞̻̯͍͙̥͇̹̗͎͕̘͖͙̮̠͚̹̈́̊̒̊͑̿̈̏͒̽̑̓̽̈́̓͊̓̕̕͜͜͠͝█̶̡̧̧̜͍̦̖̣͈͖̟̰̠͇̜̱̭͖̟͙̹̱̣̭͔̠̮̮̠̹̲̠̺̰̰̘̩̠̘̤̙͇̠̠̝̽͊̏͜ͅ█̵̢̛̖̯̞̏̈́͆̽̒̔̒̅́̒͊̃́͂͑́̍͒͒̈́͐̔̈́̿͂̌̈͆̔͑̏͌̏̎̉̚̕͜͝║̸̨̡̧̦̺͕͈̱͕̙̭̤̲̭͈̜̜̳͙͈͕̮̦͚̹̠̩̫̲͙̮̝͍͈̄͑̃͊̏̌̆̓̓̽̃̍̈́͐͒͊͌̂́̊͐̒̓̌͆͌̏̀̽̈́̒̔́͑̎͐̽́̆̃̔̃͗̕̚̕͜͝ͅͅͅ░̷̢̨̘͔͙̥͇͚̝̖̭̝͙̭̦̦̗̱̠̟͚̠͇̫͔̗̤͚̤̩̯̻̦͉͇̖͚̣̖͓͔̻͉̜̼̰̼̞̪̉̀̃̔̈́̂̊̈́́̈́̒̔̀̌̽̀̔̄̍̔͑̐̈́̈́̀͗͛̽̇̄͒̀̑̉͂͘̕̕͠͠͠͠͝͝͝͝░̸̡͚̟̩͔̥̃̀́░̶̢̢̩̰̳̜̻̮͇̘͓̳̣̜̜̩̲͇̜̮͚̺̺̤̪̲͆̀̓̈́̓͊̒̏̌̆̍̔̇̎̌͌͋̓͆̐̇̋͋̀͜͜͠͝͝ͅͅ█̴̢̢̧̧̞̭͈̳̖̳̤̫̻̪̤͎̹̫̼̺̺̮̺̥̋͘͜█̶̧̡̗͕͍͖̩̬̫̫͕̬̖̩̬̳͂͂͆̌̈́̏͌͗║̷̧̣̣̝͓͔͉̘̻̙̼͇̺̙̹̲̬͙̙̖̘̗̫͑̂̇̂́̈́̈͛̈́̈̒̃̇̾̀̀͛͋̄͘͘͠ͅ░̶̨̢̦͔̘̯͕̲̯̩̭̼̤͍̝̱͔̟̣̙͈̪̼̩̱̣̺̤̗̪͋̍́͂̔̐͆̑̈́̐̾̈́̚͘͜ͅͅ╚̵̡̧̢̛̠͚̭͎̝͍̳͇̬̻̗̪̞̭͈̼̪̺̞̥̼̮̩͍͓̝̞̪̻̗͇̟̬̳̯̖̭̼̯̻̮̓͂͛́̆͌̃͗̾͆̑̅̒̈́̒́̿͛́̊̌̾͌̓̓́͛̎̕͜͠͝ͅͅ═̸̧̧̧͖̦͍̭̭̯̩̭̳͈̟͓̥͈̦̮̲̼̳̹̜̹̯̭͍͔̱͕̱̖͈̭̩͕͕̏̓̑̂͝═̸̧̧͇̭̬̩̬͔̗̰͙̜̥͎͈͇͈͚̞̰̹̲͑̂̀̽̈͒̋͐̎̄̈́̉͌́͑̚͝͠═̶̨̢̻̙̝̭̲̲͖̟̙̠̩͉͖̲̭̲̼͎̦͔͎̥͖̫̰̟̖̞͇̫̪͉͖̖̒ͅ█̶̢̟͓͕̲̉̌͂̿̊̂̔̽́͐̐͛̎͗̏̐̑͌̽͂̈̐́̓́̃͐͂̀̐̾̎̏͘̕͘̕̕̚ͅ█̴̢̛̖̬̝͇̦̦̭͔͈̫͙̪̊̑̽͑̏͊̓̇̄͒͆͐̀̒̽̉̈́͛̿̓͊̏̒͐̾͐̓̾̿̓͐͌̕͝͝͝͠͝͝͠╗̸̩͚̗̓́̉͌̚̚͝
̷͉̠̘̩̙͆͑͊̈́̌̉̂͆̓͑͊͛͝͠█̶̨̡̢̜̬̘͙͈̹̥̩̩̭̼͇̻̣͇͙̤͍̻̃̅̽͒͆̈́̊̃̌̏́̀̿̌͠͝ͅ█̵̨̡͇͖͉͉͓͎̺̹̳̠̪͎͈͉̻̪̩̳͙̳̭̺͉͓̈́̑̅͑̏̈́̆̂̍̿̂̿̈́̉̃̾́̄̄̒̈̇̿͆͌͑̿̓̍̑̕͘̚͜͠█̷̨̢̲͈̪̞̟̗̜̼̗̹̖̮͓̹͔̪̰̦̻͔̳̞͎͇͖̪͍̣͚̤͇̣̇͂̃̐̾̉͐̀̈́̍̿̊̎̿͌̍̄͛͆̃̈́̚͜͠͝█̸̨̢̨̧̨̜̹͙̩̝̣̪͉̜͈͍̬̹̣̠̘̦̙̯̮̙̪̬̥̰̤͖̰̱̜̳̝̤̮̘͕͓͍̆̊͛͗̒͘͜͜ͅͅ█̷̨̨̛̜͍̤̻̙̭͍̜̫̦̖̠̳͎̲̜͚̹̥̹̫̠̬̪͚̜͕̳̪͇̩̩̝̋͂̓͆̎̀̆̾̏̍̑̄̆̈́̀̓́̅̓͒̇͂͂͐͒̈́̏̆̒̊́͘̕̚̚͜͜͝͝͝ͅ█̷̼̹̬͎̺̺̙̝̪̙̠̝̔̒̇̿́̒̀͗̆̂̾̅̇͌̏̏͑̓̒͊̋̇̆̊̿̀̈̊͒̏̚̕̕̚͜͠͝͝͠͠ͅ╔̸̡̢͕̦̗͚͙͕͖͚̣͙̟͇̮̰̪̒̈̿̐̂͑̈́́̇͌̌̍̐̀́́̑͐̽̂͋̉̌̓́̄̚͘͠╝̶̨̛̟͇͙̰̦̩͓̖̜̩̘͙̫̟̭̻̑̀̿̋̇̓̀͗̓̔͐̐͂̇͛̆͆͂̆̿̒̅͒́̎̄͆̏̎͒̿̈͆̈̈́̑̄̔̊̽̒̾͋͂̀̕̚͝͝ͅ╚̴̛͍̣̐̔̄̑̓̅̀̈̄̆̽̌̅̃̈́͐͌̃͒͊̌͗̓̾̿̊̊̏̀͒̉̓̍̌̓̏̋͘̚͝█̸̢̡̡̡̛̛̱̯̱̩̟͇̻̺̙̯̭̬̭͙̮̲͎͕̯̆̃̌̎̂̉̀̄͆̿̒̏̑͑͆͒̔̍̍̈́̓̇̓͋̃̓͐̄̋̏̕̕͠͝͠͝█̴̨̢̨̩̦͙͖̳͉̳͇͖͉̙̘̱̥͕̖̻̼͎̘̼̜̹̫̦͎͇͔͙̯̱̖̝̻̲̟͖̯̍̎̅̕█̷̡̛̟̩̣̮̎͐̀́̓̈̎̌̊̓͊̏̎̐̌̽͘͘̕͠ͅ█̵̢̝̲̦̤̘̺̝̤̥̜̤̟̰̟͙̭̯̠͔̮̫̩̓̈́̏̂̄͂͗̏͐̔̓͋̐̈́̊̿̚̕̚̚͜͝ͅ█̸̧̛̛͓̪̥̥͎͕̼̲̗͚͇͓̞͖̘͉̺̪̟̖̊̈́̅̂̿͑̂͑͜ͅͅ█̴̨̛̛̮͕͕̭͔̘̮͙͚̥̖͈̼͕̦̱̮̪͋̐͛͛̄̿̅̀͜͠͝ͅ╔̷̧̲̪͎͙̦͙̫̭͉̐̆̂̅̔̈́́̌͗̂̐̽͊̕╝̴̧̡̗͙̞̠̫̙̟̗͔͕͚̹̳̙̺̥̣̻̣͉̱̗̺̪̗̞̗̜̎̽͑̍̓̐̊͋̃̾̊͛̆̀̊̄͋̅̈́̋̏͊́͗͌͐̓͂́́̍̇͐͊̀̕̕͠͝͝ͅ█̷̢̨̡͕͖̙̜͕͉͓̜̹͖̤̭̠͙̱̙̺͖̙̓̏̇̃͜͜͜ͅ█̴̧̗͕͉̺͇̭̟̝̻̩̥̙̗̪̫͎̄̈́̄̈̎̿̈͐̍̄͑͊̀̈́͘̕͘͠͝█̵̢̛̛̛̗̻͎͕̽͂̉́͆̏͂͌̓̀́͂̏̎̐̋́́́͘̕̕͜͠͝͝͝     █̴̡̻̬̪͓͎̣͚̟̬̮́̽̈͛̍͒̚͝ͅ  █̵̧̨̡̨̧̭̠͓̟̜̫̪̳͓̹͙͚͕͎̰̰͈͎̬͍͉͖̜̺̜̻̪̙͉̭̭̦̗̲̘̥́̾̀́̽͒͌̊̓̄̂̑̎̄͊̌̀̓̿̒̑̊͘͜͜͝͝͠͝͝͠ͅ█̷̡̨̧̛̠̬͚͔͕̭͈̝̯͕͉̜͓̎̇̒̄̾̂̔͒̏̐͐͒͊̎̍̊́͘╔̷̙̭̠̪͕͍̒̀̀̕╝̸̢̧̺̖̫̬̺̼̰̰͔̻͉̳̗̦͖̟̖̮̺̗̬̖̱̩͎̭̼͖̌̅̈̃̓̊̇̿̇́̔̄̌͋̒͑̋̋̽̆͑̎̃̓͋̂͆̓̀̀̀̔̉̀̇̇̓͑͌̕͠͝͝
̵̨̨̼̝̫͉͇͇̜̬̭̼͉͙̹̤͎̠͖̭̼̗̝̼̖̜̰͔͉̲̰͎͌̇̃͂̏́̈̓̽̊́̈́̑̚͜͝͝͝͝͝ͅͅ╚̵̨̧̨̝̩̺͔͙̞͔̫̊̊͋͐̓͗͒̽̀̂̇́̾̽̽̓̀͑̐͒̌̀͆̏̔̍͂̂̉͑̌̓̈̿́̈́̐̕̚̚̕͝͠͝͝═̷̨̢̫̝̣̗̬̖̣̱͓̳̖̪̈̈́́̒͊͛̊̌̒̓̅̂͋̾̃̑͊̆̉͐͌̀͆́͒̿͆̊̀̅̈́̃̄̄̓̆͌̔̏̇͋͂͝͠═̸̨̨̡̛̼͍̼̰̞̪͈̥͇̫͉͔̳̺̱̣̪͓̜̞̹̝̰̫͉̹̗̮̆̑̎̅̂͑͑́̊͋̈́͒̈́̀̂̑͊͗́̋́͐͘̚͝ͅ═̶̡̡̢̥̟̭̬̳̝̳͕͍̥̬͓̦̑̆̿̇̈́͊̈́̊͐͋̓̀̃͒̃̑́̌́̀̔͝͝═̵̧̧̨̛̺̪̪̟̰͙̥̣̮̳͖͋͆́̃́̒͑̃͊͛́̂̒̂̔̿̅̈́̓̑̏͋̌̎̍͗̄̋̏̌͆̔̅̊̓̽͘̚̕̕͝͝═̴̢̨̨̨̢̛̹͎̮̩̜͈̬̦̮̫̲͖̫̱̻̤̱͉̝̟̲͕̣͓̹̅̓͌̓̈́̄̀̅͋̓̀̾̌̾͛̌͒͂̉͗̋̂̃̌͊̾̉̅̚͘̚͘͘̕͝͝͝͝╝̵̨̡̨̛̣͓͚̤͔̜̬̥̼̹̬̘͎̠̬̪͉̳̳͓̼͖͔̲̦̲̫̗̠̥̫̳̩́̇͐̂͐̽̿̿̓̆̀́͐̇̕̕͜͠ͅ░̶̡̛͓͔̯͉̮̺͑̈́̀̏̌͋͂̾̊͆͛͌̊̓̕░̸̡̡̧̨̙̱͕̘̯͕̗̘̯̘̘̼͙̦̳͕̺̫͊̀̑̔̌̆̌͐̀̋̀̏͐̈̉̄̇̊̀̽͒͌̂̌̊̄̔̋̓͆̓̉̅̀̅̎͆̅̐̃̓̕̚͜͜͜͝͝͝͝ͅ╚̴̢̢̧̧̨̥͚̹͖͓̪̥̱̫̯̱̯̺̗͓͇̰͍͕̞̖̠͉̫̻͍̝͍̬̝͉̣̥̫͉͉̜̰͍̜̲͖̿̈́͌̂͑̔͌̃̀̏́̃̎̒̃̅̃̈͑̆̕͘̕̚͝͝͝ͅ═̶̢̹̫̬̮̖̱̞̣̜̘̘̪̺̜̩͔͓̺͙̰̜̗͉̥̩̥̜̘͗͘͝ͅ═̵̧̡̬̼̬̩͎͈̟͉̗͇̬̹̳͎̼̼̹͈̝͔̹̝̯̮̼̮̩̺̘̪̗̃͛̄͐̎̉́̆͐͒́̎̈͑̕̚͝ͅ═̶͍̖̻͈̹̘̙̞̫͍͙͍͚̯͇̗̜̳̖̀́═̶̡̨̨̪̘̮͔̖͍͓̘̰͚͍͋͑̾̆͋̈́̏̅̓̈̇͌̉̃̍͋̑̋̔̋̏͋̚͜͠͝═̶̧̨̧̨̨̙͉̩̠̘͓̬̺͕̘͍̭̮̲̺̼͉̬̔̓̈́͊͐̿͐͆͆̒͂͊̃͛̕͘͜͝͝͝╝̵̛̹͕̩̞̳̠̯̰̦͇̹͎̤̩͇̳͚͈̌̔͊̓̇̀̈́̎͗̊͊͒̒̔́̐̉̿̓͗̎̈́͑̓̈̎̆́̐̃̌̉̎̓̃̋́̇́́̃̈́̓̎̕͠͝░̴̨̨̧̧̢̧̩̝̩̖̟͚̦̳̘͖̰͚̯͚͇͔̱͕͉̰͓̬͈̱͈́̊̈̈̏̓̓̅̀́͜͝╚̸̢̨̛̛͇̼͓̯̬͍͇̯̰̙̺̹̥͍͔͓̫̺̲̠͖͍̠͔̠͖͈͉͇͚͉̻͈͇͇̱̼͉͓̘̯̖̙̮̾͌́̍̉̿̾̀̾̎͒̈̑͂̈́͗̿͗͘̕͜͠͝͝͝═̷̡̢̧̡̡̢͎͖̪̟͕̖̘̼͍͕̰͉͉͎̟͎̦̖̜̠̙̩̠̬̦̖̻͉̮̯̱͈̦̯͓͖͖̟͍̰̮̽̓͐̈́͊͛̑̆̔̔͒͐̇̈́̍̉̒͆̉͜͠ͅ═̶̧̧̨̧̭͈͉̲͎̖̙̳͚͎̦͇̫̱̯̯̯͇͕͓͙̺͚͚̘͓̭̲̯̣̠̞̲̱̤̙̱͍͉̬̹̎̊̇͆̏͜͝͠═̴̡̨̨͎̳̮̻͙̪̙̩̭̰͚̰͎͇̦̙̳̘̠͎̹͎̮͇̟̥̼̤̥̙̦͓̳̯̪͙͍͓̦̥̫͂̀̈́́̈̒͆̈́̊̒̒͛̋̃̕͜═̸̡̧͎̭̲̲̝̺̪̘̱͚͔̲̱̯̺̏̂̆̌̽̚͜═̵̧̢̡̛͎̗̮͖̻̺̰̤͇̗̳̘̗͉͖͓̮͎͇̙̬̹͎͙̫̲͍̘̘̪̱̳̯̭̤̋̔̀͒̉͛́̐̄̓̌̍̂̆͗̎́̌̀̕̕͜͝͝͠ͅ╝̶͇͌̎̎̈́̓̌͂̈́͠░̸̢̨̡̡̛̛̗͇̬͉̼͙̟͓͔͎̠͍͔̯̳̦̮̜͇̫̻̣͙͔̃͒̊͐̈́͊̈́̈̈́̉̃͐̍͂̒͛̀̈͆̊́̚͝͝͝ͅͅ

I would need .1 additional TB of ram to accomplish that, however when considering Elliptic curves over finite fields one must consider Hasse's theorem on elliptic curves to include the point at infinity


The set of points E(Fq) is a finite abelian group. It is always cyclic or the product of two cyclic groups. For example the curve defined by over F71 has 72 points (71 affine points including (0,0) and one point at infinity) over this field, whose group structure is given by Z/2Z × Z/36Z. The number of points on a specific curve can be computed with Schoof's algorithm.

Studying the curve over the field extensions of Fq is facilitated by the introduction of the local zeta function of E over Fq, defined by a generating series


where the field Kn is the (unique up to isomorphism) extension of K = Fq of degree n (that is, Fqn). The zeta function is a rational function in T.
Moreover,

with complex numbers α, β of absolute value . This result is a special case of the Weil conjectures. For example, the zeta function of E : y2 + y = x3 over the field F2 is given by this follows from:



Also while writing this my CPU died. I couldnt keep the temperatures close enough to absolute zero that my CPU melted into a steaming pile of non-Newtonian fluid.... I think it just blinked at me?

wow...amazing! Do you think it can solve for y2 = x3 + 7 ?? Because if y2 = x3 + 7 then y=y+y-y+y-y and if that is true then if y = y, then x = x!

{Quantpy Engine Beta 0.9.2}

Compiling Quantum Gates.........Done! (4s 09/17/2021 094307Z)
Mapping 63 Qubits (1 Qubit per node)....Done! (2s 09/17/2021 094311Z)
Loading 63.py.......... bloom filter...........................................................Done! (2.9TB) (2,172MB/Qubit)

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53114562000.40 Bflips/s (3,346,217,406,025.2 keys/s) 0 Keys Found (0:38)

Whandering use invited slaves to brute him own privets, in some previous him message he is show a 10000x Tkeys/sec key rate worked on my pinkeyes, yes you really think what this is a wandering pc ? No he talk about slaves what unwired to his puzzle 65 etc...

64000000000

with iceland bsgs repo create bpfile and bloomfile:
python bsgs_create_bpfile_bloomfile.py  2000000000 bpfile2000.bin bloomfile2000.bin 32

bpfile only 1398KB,but bloomfile2000.bin about 10GB,is this right?

It is indeed a number between the same range of the private key's, but it's not the private key unless I'm missing something. The value k is the one which if multiplied by G you get r where signature is [r, s]. The private key is d and the public key is dG.

At least that's how I've studied them. They're just names, but they may bring confusion if we don't decide which designation we'll all consider correct.

hi there, wandering any demo releases of your program upto 84? please thanks .
getting bored doing nothing, have some time. 2days off.   

In other words, the shorthand for the private key.

k is number of point,  from 1 to 115792089237316195423570985008687907852837564279074904382605163141518161494336. Every point is g added k times.

What is the "k" number?

If it were possible, the ECDLP problem would not exist

I apologize in advance for asking, but is it possible to check which of  two points is greater? k number of one point is known.

same here bro, will test and share, and prolly you will put it up on git to, like vanbitcrackn,

lol , i read what you say and understand as well , just i asked  if you like to share  send me codes so will try to fix bug and do optimization ,

I have no idea what practice you mean...I've never seen any ranges ran by you, just a lot of math questions lol.
All is well, we will find 120 at the pool...

Try run your cangaroo again, and you find 85 bit. Kangaroo and BSGS some time need run again for find a key as show my practice.

You two do not read lol...it can't find an 85 bit pubkey. I've ran it for a day looking for several 85 bit pubkeys, no luck. I will not waste time on 117-120 pubkey that may or may not be there.