Re-folding the submitted stream — root_t = keccak256(root_(t−1), t, …) over each round's (stake, game), each decision's choice, and each reveal — must reproduce the root you signed, pinning the exact sequence to your signature.

t19 · you chose option 2 of 2 · worth 1.70× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t21 · you chose option 2 of 2 · worth 1.99× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t23 · you chose option 2 of 2 · worth 2.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t25 · you chose option 2 of 2 · worth 2.78× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t27 · you chose option 2 of 2 · worth 3.33× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t29 · you chose option 1 of 2 · worth 4.05× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t10 · you chose option 2 of 2 · worth 1.70× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t12 · you chose option 2 of 2 · worth 1.99× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t14 · you chose option 2 of 2 · worth 2.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t16 · you chose option 2 of 2 · worth 2.78× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t18 · you chose option 2 of 2 · worth 3.33× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t20 · you chose option 2 of 2 · worth 4.05× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t22 · you chose option 2 of 2 · worth 4.98× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t24 · you chose option 2 of 2 · worth 6.22× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t26 · you chose option 2 of 2 · worth 7.92× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t28 · you chose option 1 of 2 · worth 10.30× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t29 · you chose option 2 of 2 · worth 1.70× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t31 · you chose option 2 of 2 · worth 1.99× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t41 · you chose option 2 of 2 · worth 1.70× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t43 · you chose option 2 of 2 · worth 1.99× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t45 · you chose option 2 of 2 · worth 2.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t47 · you chose option 1 of 2 · worth 2.78× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t56 · you chose option 2 of 2 · worth 1.70× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t58 · you chose option 2 of 2 · worth 1.99× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t60 · you chose option 2 of 2 · worth 2.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t62 · you chose option 2 of 2 · worth 2.78× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t64 · you chose option 1 of 2 · worth 3.33× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t101 · you chose option 2 of 2 · worth 1.70× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t103 · you chose option 1 of 2 · worth 1.99× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t62 · you chose option 2 of 2 · worth 1.47× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t64 · you chose option 2 of 2 · worth 1.70× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t66 · you chose option 2 of 2 · worth 1.99× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t68 · you chose option 2 of 2 · worth 2.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t70 · you chose option 2 of 2 · worth 2.78× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t72 · you chose option 2 of 2 · worth 3.33× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t74 · you chose option 1 of 2 · worth 4.05× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t87 · you chose option 2 of 2 · worth 1.47× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t89 · you chose option 2 of 2 · worth 1.70× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t91 · you chose option 2 of 2 · worth 1.99× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t93 · you chose option 2 of 2 · worth 2.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t95 · you chose option 2 of 2 · worth 2.78× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t97 · you chose option 1 of 2 · worth 3.33× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t106 · you chose option 2 of 2 · worth 1.47× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.