Matching domain names, badges, search snippets or HTTPS do not establish outside identity, legal status or commercial fairness. No account, deposit, withdrawal or prize is available in this demo.
Search query and an original demo
245bet is a search name, not verified evidence of an operator, app, licence or financial service. This guide hosts the original Permutation Clock demo. Its rules and calculations describe only that demo.
Matching domain names, badges, search snippets or HTTPS do not establish outside identity, legal status or commercial fairness. No account, deposit, withdrawal or prize is available in this demo.
Composition oracle and three million rounds
An independent oracle repeatedly composes the complete permutation until it returns to the identity. That repeat count minus one is compared with the implementation’s cycle-LCM method for every720 permutation.
Three million actual-source simulated rounds test one million per power. The Fisher–Yates shuffle samples bounds6,5,4,3,2 with unbiased32-bit rejection; accepted and rejected boundary values are tested. This is evidence about the original demo, not certification of a commercial RNG.
Record Quartet needs no APK
The demo runs directly in this page’s browser. No verified Go 90 APK, package signature, publisher, version or app-store listing is supplied here. Search words alone do not establish that such an app exists.
Playing this demo needs no unknown-source installation, disabled protection, software package or device permission grant. A scan, lock icon or matching version string does not prove that an unrelated file is authentic or safe.
Six symbols define a permutation
Uniformly shuffle six distinct symbols1–6. Position i maps to the symbol displayed at that position. Follow these mappings until returning to the starting position, then continue from the next unvisited position. This decomposes the whole permutation into disjoint cycles.
Raw reward is the least common multiple of all cycle lengths minus one: the permutation order minus one. It counts neither symbol matches nor the sum of the cycle lengths. The complete original permutation and every cycle are displayed.
Frequently asked questions
How is the reward computed?
Uniformly shuffle six distinct symbols1–6. Position i maps to the symbol displayed at that position. Follow these mappings until returning to the starting position, then continue from the next unvisited position. This decomposes the whole permutation into disjoint cycles. Raw reward is the least common multiple of all cycle lengths minus one: the permutation order minus one. It counts neither symbol matches nor the sum of the cycle lengths. The complete original permutation and every cycle are displayed.
What are the exact returns?
All720 permutations are equally likely. Raw rewards0,1,2,3,4,5 occur1,75,80,180,144,240 times. For powers1,2,3 the means of raw^power are2551/720,10319/720 and44791/720. The gross multiplier is0.96×raw^power/E(raw^power). The denominator is the mean of the powered reward, not the power of the mean. Each preselected power has exactly96% expected gross return without a skill or optimal-play assumption. Gross includes the original stake. A zero reward returns zero; an individual positive reward may return less than the stake.
Can different cycles have equal rewards?
The displayed permutation1,2,3,4,5,6 has six cycles of length1 and reward0. The permutation2,1,3,4,5,6 has cycle lengths2,1,1,1,1 and reward1. The permutation2,3,1,5,4,6 has cycle lengths3,2,1; their least common multiple is6 and reward is5. The permutation2,3,4,5,6,1 is one6-cycle and also rewards5. Different cycle structures can have the same order.
Read the permutation rules and try the original free demo. Play the free demo