Convert /bin/update -> AWS Lambda

[kenkoooo]

No description provided.

[codecov-io]

Codecov Report

Merging #312 into master will not change coverage.
The diff coverage is n/a.

@@           Coverage Diff           @@
##           master     #312   +/-   ##
=======================================
  Coverage   22.18%   22.18%           
=======================================
  Files          69       69           
  Lines        1920     1920           
  Branches      262      262           
=======================================
  Hits          426      426           
  Misses       1426     1426           
  Partials       68       68

Impacted Files	Coverage Δ
...er-problems-backend/src/lambda/time_submissions.rs	0% <ø> (ø)	⬆️
...er-problems-backend/src/lambda/user_submissions.rs	0% <ø> (ø)	⬆️
atcoder-problems-backend/src/lambda/user_info.rs	0% <ø> (ø)	⬆️

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