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.

t38 · you chose option 2 of 2 · worth 1.26× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t40 · you chose option 2 of 2 · worth 1.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t42 · you chose option 2 of 2 · worth 1.43× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t44 · you chose option 2 of 2 · worth 1.52× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t46 · you chose option 2 of 2 · worth 1.62× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t48 · you chose option 2 of 2 · worth 1.72× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t50 · you chose option 2 of 2 · worth 1.83× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t52 · you chose option 2 of 2 · worth 1.95× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t54 · you chose option 1 of 2 · worth 2.07× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t63 · you chose option 2 of 2 · worth 1.26× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t65 · you chose option 2 of 2 · worth 1.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t67 · you chose option 2 of 2 · worth 1.43× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t69 · you chose option 2 of 2 · worth 1.52× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t79 · you chose option 2 of 2 · worth 1.26× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t81 · you chose option 2 of 2 · worth 1.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t83 · you chose option 2 of 2 · worth 1.43× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t85 · you chose option 1 of 2 · worth 1.52× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t94 · you chose option 2 of 2 · worth 1.26× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t96 · you chose option 2 of 2 · worth 1.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t98 · you chose option 2 of 2 · worth 1.43× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t100 · you chose option 2 of 2 · worth 1.52× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t102 · you chose option 2 of 2 · worth 1.62× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t104 · you chose option 2 of 2 · worth 1.72× 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 1 of 2 · worth 1.83× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t115 · you chose option 2 of 2 · worth 1.26× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t117 · you chose option 2 of 2 · worth 1.34× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t119 · you chose option 2 of 2 · worth 1.43× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t121 · you chose option 2 of 2 · worth 1.52× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t123 · you chose option 2 of 2 · worth 1.62× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t125 · you chose option 2 of 2 · worth 1.72× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t127 · you chose option 2 of 2 · worth 1.83× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t129 · you chose option 2 of 2 · worth 1.95× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t131 · you chose option 2 of 2 · worth 2.07× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t133 · you chose option 2 of 2 · worth 2.22× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t135 · you chose option 2 of 2 · worth 2.40× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t137 · you chose option 2 of 2 · worth 2.61× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t139 · you chose option 1 of 2 · worth 2.86× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t9 · you chose option 2 of 3 · worth 0.50× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t11 · you chose option 1 of 2 · worth 1.06× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t17 · you chose option 1 of 3 · worth 1.55× 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 3 · worth 1.29× 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 0.73× 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 3 · worth 0.97× 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 0.55× under optimal play · best free option was 0.83× — no roll here, the choice was yours. Values come from the sealed tree itself.

t33 · you chose option 1 of 2 · worth 0.96× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t39 · you chose option 2 of 3 · worth 0.62× under optimal play · the best option available — no roll here, the choice was yours. Values come from the sealed tree itself.

t46 · you chose option 2 of 3 · worth 0.50× 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 3 of 3 · worth 2.18× under optimal play · for 100% more stake — no roll here, the choice was yours. Values come from the sealed tree itself.