Perpetual Powers of Tau Response 0077

[Axiom] Trusted Setup - compute constrained

```
Jun 13, 2023
Machine: AWS c6i.metal
------------
git clone https://github.com/kobigurk/phase2-bn254.git
cd phase2-bn254/powersoftau
git log -n 1
commit dd6b96657d16c1a2b81fd23e540581c356284ec6 (HEAD -> master, origin/master, origin/HEAD)
Author: Kobi Gurkan <kobigurk@gmail.com>                                                                                                    
Date:   Sat May 9 20:44:01 2020 +0300                                                                                                       
                                                                      
    NCC-CSWZ001-003: return false on same_ratio failure instead of panicking              
cargo build --release
wget https://pse-trusted-setup-ppot.s3.eu-central-1.amazonaws.com/challenge_0077
b2sum -b challenge_0077
6500af9c9706270aa065c64d8cbd1248c949e00a9064f35f7be5a252346ac9cff819e51a10ae715752503f57f956440e16ffafd401450d4f7ad12f78d128297e *challenge_0077
time cargo run --release --bin compute_constrained -- challenge_0077 response 28 2097152
    Running `target/release/compute_constrained challenge_0077 response 28 2097152`
Will contribute to accumulator for 2^28 powers of tau
In total will generate up to 536870911 powers
Type some random text and press [ENTER] to provide additional entropy...
Used block randomness of block 17470845 and additional keyboard input
Calculating previous contribution hash...
`challenge` file contains decompressed points and has a hash:
        6500af9c 9706270a a065c64d 8cbd1248 
        c949e00a 9064f35f 7be5a252 346ac9cf 
        f819e51a 10ae7157 52503f57 f956440e 
        16ffafd4 01450d4f 7ad12f78 d128297e 
`challenge` file claims (!!! Must not be blindly trusted) that it was based on the original contribution with a hash:
        985b87cd 4618f426 2ed9412d bbb9ed34 
        c8d78076 6832fe31 3ad3f222 bc90d1ac 
        7837e7e9 5b989eb6 789b3dd5 e2e59ecd 
        14a464fd 3110fc39 537ef6bc f9d4558b 
Computing and writing your contribution, this could take a while...
Finishing writing your contribution to response file...
Done!

Your contribution has been written to response file

The BLAKE2b hash of response file is:
        96d4b77b 9f2900fb 63c3a765 de5d2899 
        6e4196d5 25693bbf 669f6d61 0fbbcfb4 
        57541ab2 9a3ce36e 825ab154 06bfd529 
        90645e97 825d28a6 1fc20239 d9420c57 
Thank you for your participation, much appreciated! :)

real    53m35.271s
user    5223m15.161s
sys     5m46.462s

mv response response_0077_yi
```

[Axiom] Trusted Setup - verify_transform_constrained

```
time cargo run --release --bin verify_transform_constrained challenge_0077 response_0077_yi challenge_0078 28 2097152
     Running `target/release/verify_transform_constrained challenge_0077 response_0077_yi challenge_0078 28 2097152`                        
Will verify and decompress a contribution to accumulator for 2^28 powers of tau                                                             
Calculating previous challenge hash... 
Hash of the `challenge` file for verification:
        6500af9c 9706270a a065c64d 8cbd1248 
        c949e00a 9064f35f 7be5a252 346ac9cf 
        f819e51a 10ae7157 52503f57 f956440e 
        16ffafd4 01450d4f 7ad12f78 d128297e 
`response` was based on the hash:
        6500af9c 9706270a a065c64d 8cbd1248 
        c949e00a 9064f35f 7be5a252 346ac9cf 
        f819e51a 10ae7157 52503f57 f956440e 
        16ffafd4 01450d4f 7ad12f78 d128297e 
Hash of the response file for verification:
        96d4b77b 9f2900fb 63c3a765 de5d2899 
        6e4196d5 25693bbf 669f6d61 0fbbcfb4 
        57541ab2 9a3ce36e 825ab154 06bfd529 
        90645e97 825d28a6 1fc20239 d9420c57 
Verifying a contribution to contain proper powers and correspond to the public key...
Verification succeeded!
Verification succeeded! Writing to new challenge file...
Here's the BLAKE2b hash of the decompressed participant's response as new_challenge file:
        99ba697b d0aba613 fc78f1a1 78dcdbe6 
        49e8b2d6 3a32d595 5abf703c 9364c806 
        5e8e0e34 5bed4e3f bee54cf2 756d94fd 
        7e4388aa 7655522f e0015621 d78864cc 
Done! new challenge file contains the new challenge file. The other files
were left alone.

real    67m48.746s
user    4290m43.885s
sys     10m7.436s
```