invariant now involves a // subtraction. // 2. If step 2 (both [x] and [y] are even) runs, abort immediately. This // case needs to be handled by the caller. // 3. Subtract copies of [x] and [y] as needed in step 6 (both [u] and [v] // are odd) so coefficients stay in bounds. // 4. Replace the [u >= v] check with [u > v]. This changes the end // condition to [v = 0] rather than [u = 0]. This saves an extra // subtraction due to which coefficients were negated. // 5. Rename x and y to a and n, to capture...

  In Linux containers, this means setting the FQDN in the hostname field of the 
  kernel (the nodename field of struct utsname).  In Windows containers, this
  means setting the this means setting the registry value of hostname for the registry key HKEY_LOCAL_MACHINE\\SYSTEM\\CurrentControlSet\\Services\\Tcpip\\Parameters to FQDN. 

invariant now involves a // subtraction. // 2. If step 2 (both [x] and [y] are even) runs, abort immediately. This // case needs to be handled by the caller. // 3. Subtract copies of [x] and [y] as needed in step 6 (both [u] and [v] // are odd) so coefficients stay in bounds. // 4. Replace the [u >= v] check with [u > v]. This changes the end // condition to [v = 0] rather than [u = 0]. This saves an extra // subtraction due to which coefficients were negated. // 5. Rename x and y to a and n, to capture...

## 0.112.4 (2024-09-05)

This release is mainly a big internal refactor to enable adding support for Pydantic models for `Form` fields, but that feature comes in the next release.

This release shouldn't affect apps using FastAPI in any way. You don't even have to upgrade to this version yet. It's just a checkpoint. 🤓

### Refactors

increment and decrement buttons in Chrome.\n[type=\"number\"]::-webkit-inner-spin-button,\n[type=\"number\"]::-webkit-outer-spin-button {\n  height: auto;\n}\n\n[type=\"search\"] {\n  // This overrides the extra rounded corners on search inputs in iOS so that our\n  // `.form-control` class can properly style them. Note that this cannot simply\n  // be added to `.form-control` as it's not specific enough. For details, see\n  // https://github.com/twbs/bootstrap/issues/11586.\n  outline-offset: -2px; // 2....