The `root_path` is used to handle these specific cases.

And it's also used internally when mounting sub-applications.

## Proxy with a stripped path prefix

Having a proxy with a stripped path prefix, in this case, means that you could declare a path at `/app` in your code, but then, you add a layer on top (the proxy) that would put your **FastAPI** application under a path like `/api/v1`.

    "3", "6", "11", "23", "45", "91", "181", "362", "724", "1448", "2896", "5793", "11585", "23170",
    "46341", "92682", "185364", "370728", "741455", "1482910", "2965821", "5931642"
  })
  private int size;

  // "" means no fixed seed
  @Param("1234")
  private SpecialRandom random;

  @Param({"ImmutableSetImpl", "HashSetImpl"})
  private SetImpl impl;

  // the following must be set during setUp
  private Set<Element> setToTest;

    "3", "6", "11", "23", "45", "91", "181", "362", "724", "1448", "2896", "5793", "11585", "23170",
    "46341", "92682", "185364", "370728", "741455", "1482910", "2965821", "5931642"
  })
  private int size;

  // "" means no fixed seed
  @Param("1234")
  private SpecialRandom random;

  @Param({"ImmutableSetImpl", "HashSetImpl"})
  private SetImpl impl;

  // the following must be set during setUp
  private Set<Element> setToTest;

# o isSuppressDropProcedure: (NotRequired - Default false)
# o isSuppressDropDBLink: (NotRequired - Default false)
# o initializeFirstSqlList: (NotRequired - Default list:{})
#
# *The line that starts with '#' means comment-out.
#
map:{
    # /- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    # o repsEnvType: (NotRequired - Default inherits or 'ut')
    #  The environment type of ReplaceSchema.

<div class="screenshot">
<img src="/img/tutorial/separate-openapi-schemas/image02.png">
</div>

This means that it will **always have a value**, it's just that sometimes the value could be `None` (or `null` in JSON).

		// branch
		fi.Data = inData.find(fi.DataDir)
	}
	return fi, nil
}

// hashDeterministicString will return a deterministic hash for the map values.
// Trivial collisions are avoided, but this is by no means a strong hash.
func hashDeterministicString(m map[string]string) uint64 {
	// Seed (random)
	crc := uint64(0xc2b40bbac11a7295)
	// Xor each value to make order independent
	for k, v := range m {

		if strings.HasPrefix(mpath, ppath) {
			// At this point if the mount point has a common prefix two conditions can happen.
			// - mount.Path matches exact with `path` means we can proceed no error here.
			// - mount.Path doesn't match (means cross-device mount), should error out.
			if mount.Path != path {
				crossMounts = append(crossMounts, mount)
			}
		}
	}

  //
  // IfHealthyBudget policy means that running pods (status.phase="Running"),
  // but not yet healthy can be evicted only if the guarded application is not
  // disrupted (status.currentHealthy is at least equal to status.desiredHealthy).
  // Healthy pods will be subject to the PDB for eviction.
  //
  // AlwaysAllow policy means that all running pods (status.phase="Running"),

        return LinearTransformation.mapping(xStats.mean(), yStats.mean())
            .withSlope(sumOfProductsOfDeltas / xSumOfSquaresOfDeltas);
      } else {
        return LinearTransformation.horizontal(yStats.mean());
      }
    } else {
      checkState(yStats.sumOfSquaresOfDeltas() > 0.0);
      return LinearTransformation.vertical(xStats.mean());
    }
  }

  /**
   * {@inheritDoc}
   *

  // 1. In the listener that performs the callback. In this case it is fine since inputFuture is
  //    assigned prior to calling addListener, and addListener happens-before any invocation of the
  //    listener. Notably, this means that 'volatile' is unnecessary to make 'inputFuture' visible
  //    to the listener.
  //
  // 2. In done() where we may propagate cancellation to the input. In this case it is _not_ fine.