mirror of https://github.com/zcash/halo2.git
Inline sigma_0 v1 in message scheduling region
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therealyingtong
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@ -746,37 +746,40 @@ For each block $M \in \{0,1\}^{512}$ of the padded message, $64$ words of $32$ b
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- the remaining $48$ words are constructed using the formula:
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$$W_i = \sigma_1(W_{i-2}) \boxplus W_{i-7} \boxplus \sigma_0(W_{i-15}) \boxplus W_{i-16},$$ for $i = 16, \ldots, 63$.
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sw|sd0|sd1|sd2|sd3|sr |ss0|ss0_v2|ss1|ss1_v2|s22|s23| $a_0$ | $a_1$ | $a_2$ | $a_3$ | $a_4$ | $a_5$ | $a_6$ | $a_7$ | $a_8$ |
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--|---|---|---|---|---|---|------|---|------|---|---|---------------|------------------|-----------------------------------|------------------------------|----------------------------------|---------------------------------|---------------------------------|------------------------|------------------------|
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0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{0}^{lo}$ | $\texttt{spread}(W_{0}^{lo})$ | | | $W_{0}$ |$\sigma_0(W_1)^{lo}$ |$\sigma_1(W_{14})^{lo}$ | $W_{9}^{lo}$ |
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1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{0}^{hi}$ | $\texttt{spread}(W_{0}^{hi})$ | $W_{0}^{lo}$ | $W_{0}^{hi}$ | $W_{16}$ |$\sigma_0(W_1)^{hi}$ |$\sigma_1(W_{14})^{hi}$ | $W_{9}^{hi}$ |
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0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4} | $W_{1}^{d(14)}$ | $\texttt{spread}(W_{1}^{d(14)})$ | $W_{1}^{a(3)}$ | $W_{1}^{b(4)}$ | $W_{1}$ |$\sigma_0(W_2)^{lo}$ |$\sigma_1(W_{15})^{lo}$ | $W_{10}^{lo}$ |
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1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2} | $W_{1}^{c(11)}$ | $\texttt{spread}(W_{1}^{c(11)})$ | $W_{1}^{lo}$ | $W_{1}^{hi}$ | $W_{17}$ |$\sigma_0(W_2)^{hi}$ |$\sigma_1(W_{15})^{hi}$ | $W_{10}^{hi}$ |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | {0,1,2,3,4,5} | $R_0^{even}$ | $\texttt{spread}(R_0^{even})$ | $W_{1}^{b(4)lo}$ |$\texttt{spread}(W_{1}^{b(4)lo})$ | $W_{1}^{b(4) hi}$ |$\texttt{spread}(W_{1}^{b(4)hi})$| | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_1^{odd}$ | $\texttt{spread}(R_1^{odd})$ | $\sigma_0 v1 R_1$ | $\sigma_0 v1 R_0$ | $\sigma_0 v1 R_0^{even}$ | $\sigma_0 v1 R_0^{odd}$ | | |
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0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_0^{odd}$ | $\texttt{spread}(R_0^{odd})$ | $\texttt{spread}(R_1^{odd})$ |$\texttt{spread}(W_{1}^{c(11)})$ |$\texttt{spread}(W_{1}^{d(14)})$ | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_1^{even}$ | $\texttt{spread}(R_1^{even})$ | $W_{1}^{b(4)hi}$ |$\texttt{spread}(W_{1}^{b(4)hi})$ | $W_{1}^{a(3)}$ |$\texttt{spread}(W_{1}^{a(3)})$ | | |
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..|...|...|...|...|...|...|... |...|... |...|...| ... | ... | ... | ... | ... | ... | ... | ... | ... |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3} | $W_{14}^{g(13)}$ | $\texttt{spread}(W_{14}^{g(13)})$ | $W_{14}^{a(3)}$ | $W_{14}^{c(3)}$ | | | | |
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0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | $W_{14}^{d(7)}$ | $\texttt{spread}(W_{14}^{d(7)})$ | $W_{14}^{e(1)}$ | $W_{14}^{f(1)}$ | $W_{14}$ |$\sigma_0(W_{15})^{lo}$ |$\sigma_1(W_{28})^{lo}$ | $W_{23}^{lo}$ |
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1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | $W_{14}^{b(4)}$ | $\texttt{spread}(W_{14}^{b(4)})$ | $W_{14}^{lo}$ | $W_{14}^{hi}$ | $W_{30}$ |$\sigma_0(W_{15})^{hi}$ |$\sigma_1(W_{28})^{hi}$ | $W_{23}^{hi}$ |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_0^{even}$ | $\texttt{spread}(R_0^{even})$ | $W_{14}^{b(4)lo}$ |$\texttt{spread}(W_{14}^{b(4)lo})$| $W_{14}^{a(3)}$ |$\texttt{spread}(W_{14}^{a(3)})$ | $W_{14}^{e(1)}$ | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_0^{odd}$ | $\texttt{spread}(R_0^{odd})$ | $\texttt{spread}(R_1^{odd})$ |$\texttt{spread}(W_{14}^{d(7)})$ |$\texttt{spread}(W_{14}^{g(13)})$| | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_1^{even}$ | $\texttt{spread}(R_1^{even})$ | $W_{14}^{b(4) hi}$ |$\texttt{spread}(W_{14}^{b(4)hi})$| $W_{14}^{c(3)}$ |$\texttt{spread}(W_{14}^{c(3)})$ | $W_{14}^{f(1)}$ | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_1^{odd}$ | $\texttt{spread}(R_1^{odd})$ | $\sigma_0 v2 R_0$ | $\sigma_0 v2 R_1$ |$\sigma_0 v2 R_0^{even}$ |$\sigma_0 v2 R_0^{odd}$ | | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_0^{even}$ | $\texttt{spread}(R_0^{even})$ | $W_{14}^{b(4)lo}$ |$\texttt{spread}(W_{14}^{b(4)lo})$| $W_{14}^{a(3)}$ |$\texttt{spread}(W_{14}^{a(3)})$ | $W_{14}^{e(1)}$ | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | {0,1,2,3,4,5} | $R_0^{odd}$ | $\texttt{spread}(R_0^{odd})$ | $\texttt{spread}(R_1^{odd})$ | $\texttt{spread}(d)$ | $\texttt{spread}(g)$ | | | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_1^{even}$ | $\texttt{spread}(R_1^{even})$ | $W_{14}^{b(4) hi}$ |$\texttt{spread}(W_{14}^{b(4)hi})$| $W_{14}^{c(3)}$ |$\texttt{spread}(W_{14}^{c(3)})$ | $W_{14}^{f(1)}$ | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_1^{odd}$ | $\texttt{spread}(R_1^{odd})$ | $\sigma_1 v2 R_0$ | $\sigma_1 v2 R_1$ |$\sigma_1 v2 R_0^{even}$ |$\sigma_1 v2 R_0^{odd}$ | | |
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..|...|...|...|...|...|...|... |...|... |...|...| ... | ... | ... | ... | ... | ... | ... | ... | ... |
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0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3} | $W_{49}^{d(13)}$ | $\texttt{spread}(W_{49}^{d(13)})$ | $W_{49}^{c(2}$ | $W_{49}^{b(7)}$ | $W_{49}$ | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1} | $W_{49}^{a(10)}$ | $\texttt{spread}(W_{49}^{a(10)})$ | $W_{49}^{lo}$ | $W_{49}^{hi}$ | | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | | insert $\sigma_1(W_{14})$ v1 | | | | | | |
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..|...|...|...|...|...|...|... |...|... |...|...| ... | ... | ... | ... | ... | ... | ... | ... | ... |
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0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{62}^{lo}$ | $\texttt{spread}(W_{62}^{lo})$ | | | $W_{62}$ | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{62}^{hi}$ | $\texttt{spread}(W_{62}^{hi})$ | | | | | | |
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0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{63}^{lo}$ | $\texttt{spread}(W_{63}^{lo})$ | | | $W_{63}$ | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{63}^{hi}$ | $\texttt{spread}(W_{63}^{hi})$ | | | | | | |
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sw|sd0|sd1|sd2|sd3|sr |ss0|ss0_v2|ss1|ss1_v2|s22|s23| $a_0$ | $a_1$ | $a_2$ | $a_3$ | $a_4$ | $a_5$ | $a_6$ | $a_7$ | $a_8$ |
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--|---|---|---|---|---|---|------|---|------|---|---|---------------|------------------|-----------------------------------|------------------------------|----------------------------------|---------------------------------|--------------------------------- |------------------------|------------------------|
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0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{0}^{lo}$ | $\texttt{spread}(W_{0}^{lo})$ | | | $W_{0}$ |$\sigma_0(W_1)^{lo}$ |$\sigma_1(W_{14})^{lo}$ | $W_{9}^{lo}$ |
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1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{0}^{hi}$ | $\texttt{spread}(W_{0}^{hi})$ | $W_{0}^{lo}$ | $W_{0}^{hi}$ | $W_{16}$ |$\sigma_0(W_1)^{hi}$ |$\sigma_1(W_{14})^{hi}$ | $W_{9}^{hi}$ |
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0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4} | $W_{1}^{d(14)}$ | $\texttt{spread}(W_{1}^{d(14)})$ | $W_{1}^{a(3)}$ | $W_{1}^{b(4)}$ | $W_{1}$ |$\sigma_0(W_2)^{lo}$ |$\sigma_1(W_{15})^{lo}$ | $W_{10}^{lo}$ |
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1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2} | $W_{1}^{c(11)}$ | $\texttt{spread}(W_{1}^{c(11)})$ | $W_{1}^{lo}$ | $W_{1}^{hi}$ | $W_{17}$ |$\sigma_0(W_2)^{hi}$ |$\sigma_1(W_{15})^{hi}$ | $W_{10}^{hi}$ |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | {0,1,2,3,4,5} | $R_0^{even}$ | $\texttt{spread}(R_0^{even})$ | $W_{1}^{b(4)lo}$ |$\texttt{spread}(W_{1}^{b(4)lo})$ | $W_{1}^{b(4) hi}$ |$\texttt{spread}(W_{1}^{b(4)hi})$ | | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_1^{odd}$ | $\texttt{spread}(R_1^{odd})$ | $\sigma_0 v1 R_1$ | $\sigma_0 v1 R_0$ | $\sigma_0 v1 R_0^{even}$ | $\sigma_0 v1 R_0^{odd}$ | | |
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0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_0^{odd}$ | $\texttt{spread}(R_0^{odd})$ | $\texttt{spread}(R_1^{odd})$ |$\texttt{spread}(W_{1}^{c(11)})$ |$\texttt{spread}(W_{1}^{d(14)})$ | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_1^{even}$ | $\texttt{spread}(R_1^{even})$ | $W_{1}^{b(4)hi}$ |$\texttt{spread}(W_{1}^{b(4)hi})$ | $W_{1}^{a(3)}$ |$\texttt{spread}(W_{1}^{a(3)})$ | | |
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..|...|...|...|...|...|...|... |...|... |...|...| ... | ... | ... | ... | ... | ... | ... | ... | ... |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3} | $W_{14}^{g(13)}$ | $\texttt{spread}(W_{14}^{g(13)})$ | $W_{14}^{a(3)}$ | $W_{14}^{c(3)}$ | | | | |
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0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | $W_{14}^{d(7)}$ | $\texttt{spread}(W_{14}^{d(7)})$ | $W_{14}^{e(1)}$ | $W_{14}^{f(1)}$ | $W_{14}$ |$\sigma_0(W_{15})^{lo}$ |$\sigma_1(W_{28})^{lo}$ | $W_{23}^{lo}$ |
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1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | $W_{14}^{b(4)}$ | $\texttt{spread}(W_{14}^{b(4)})$ | $W_{14}^{lo}$ | $W_{14}^{hi}$ | $W_{30}$ |$\sigma_0(W_{15})^{hi}$ |$\sigma_1(W_{28})^{hi}$ | $W_{23}^{hi}$ |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_0^{even}$ | $\texttt{spread}(R_0^{even})$ | $W_{14}^{b(4)lo}$ |$\texttt{spread}(W_{14}^{b(4)lo})$| $W_{14}^{a(3)}$ |$\texttt{spread}(W_{14}^{a(3)})$ | $W_{14}^{e(1)}$ | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_0^{odd}$ | $\texttt{spread}(R_0^{odd})$ | $\texttt{spread}(R_1^{odd})$ |$\texttt{spread}(W_{14}^{d(7)})$ |$\texttt{spread}(W_{14}^{g(13)})$| | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_1^{even}$ | $\texttt{spread}(R_1^{even})$ | $W_{14}^{b(4) hi}$ |$\texttt{spread}(W_{14}^{b(4)hi})$| $W_{14}^{c(3)}$ |$\texttt{spread}(W_{14}^{c(3)})$ | $W_{14}^{f(1)}$ | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_1^{odd}$ | $\texttt{spread}(R_1^{odd})$ | $\sigma_0 v2 R_0$ | $\sigma_0 v2 R_1$ |$\sigma_0 v2 R_0^{even}$ |$\sigma_0 v2 R_0^{odd}$ | | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_0^{even}$ | $\texttt{spread}(R_0^{even})$ | $W_{14}^{b(4)lo}$ |$\texttt{spread}(W_{14}^{b(4)lo})$| $W_{14}^{a(3)}$ |$\texttt{spread}(W_{14}^{a(3)})$ | $W_{14}^{e(1)}$ | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | {0,1,2,3,4,5} | $R_0^{odd}$ | $\texttt{spread}(R_0^{odd})$ | $\texttt{spread}(R_1^{odd})$ | $\texttt{spread}(d)$ | $\texttt{spread}(g)$ | | | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | {0,1,2,3,4,5} | $R_1^{even}$ | $\texttt{spread}(R_1^{even})$ | $W_{14}^{b(4) hi}$ |$\texttt{spread}(W_{14}^{b(4)hi})$| $W_{14}^{c(3)}$ |$\texttt{spread}(W_{14}^{c(3)})$ | $W_{14}^{f(1)}$ | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $R_1^{odd}$ | $\texttt{spread}(R_1^{odd})$ | $\sigma_1 v2 R_0$ | $\sigma_1 v2 R_1$ |$\sigma_1 v2 R_0^{even}$ |$\sigma_1 v2 R_0^{odd}$ | | |
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..|...|...|...|...|...|...|... |...|... |...|...| ... | ... | ... | ... | ... | ... | ... | ... | ... |
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0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3} | $W_{49}^{d(13)}$ | $\texttt{spread}(W_{49}^{d(13)})$ | $W_{49}^{c(2}$ | $W_{49}^{b(7)}$ | $W_{49}$ | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1} | $W_{49}^{a(10)}$ | $\texttt{spread}(W_{49}^{a(10)})$ | $W_{49}^{lo}$ | $W_{49}^{hi}$ | | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |{0,1,2,3,4,5} | $R_0^{even}$ | $\texttt{spread}(R_0^{even})$ | $W_{49}^{b(7)lo}$ |$\texttt{spread}(W_{49}^{b(7)lo})$| $W_{49}^{b(7)mid}$ |$\texttt{spread}(W_{49}^{b(7)mid})$| | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |{0,1,2,3,4,5} | $R_0^{odd}$ | $\texttt{spread}(R_0^{odd})$ | $\texttt{spread}(R_1^{odd})$ | $\texttt{spread}(a)$ | $\texttt{spread}(d)$ | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |{0,1,2,3,4,5} | $R_1^{even}$ | $\texttt{spread}(R_1^{even})$ | $W_{49}^{b(7)hi}$ |$\texttt{spread}(W_{49}^{b(7)hi})$| $W_{49}^{c(2)}$ |$\texttt{spread}(W_{49}^{c(2)})$ | | |
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0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 |{0,1,2,3,4,5} | $R_1^{odd}$ | $\texttt{spread}(R_1^{odd})$ | $\sigma_1 v1 R_0$ | $\sigma_1 v1 R_1$ |$R_0^{even}$ |$R_0^{odd}$ | | |
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..|...|...|...|...|...|...|... |...|... |...|...| ... | ... | ... | ... | ... | ... | ... | ... | ... |
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0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{62}^{lo}$ | $\texttt{spread}(W_{62}^{lo})$ | | | $W_{62}$ | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{62}^{hi}$ | $\texttt{spread}(W_{62}^{hi})$ | | | | | | |
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0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{63}^{lo}$ | $\texttt{spread}(W_{63}^{lo})$ | | | $W_{63}$ | | | |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | {0,1,2,3,4,5} | $W_{63}^{hi}$ | $\texttt{spread}(W_{63}^{hi})$ | | | | | | |
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Constraints:
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- `sw`: construct word using $reduce_4$
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