const pathBase = 1000

// Path returns a tile coordinate path describing t.
func (t Tile) Path() string {
	n := t.N
	nStr := fmt.Sprintf("%03d", n%pathBase)
	for n >= pathBase {
		n /= pathBase
		nStr = fmt.Sprintf("x%03d/%s", n%pathBase, nStr)
	}
	pStr := ""
	if t.W != 1<<uint(t.H) {
		pStr = fmt.Sprintf(".p/%d", t.W)
	}
	var L string
	if t.L == -1 {
		L = "data"
	} else {
		L = fmt.Sprintf("%d", t.L)

// Copyright 2017 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

// Package str provides string manipulation utilities.
package str

import (
	"fmt"
	"strings"
	"unicode"
	"unicode/utf8"
)

// StringList flattens its arguments into a single []string.
// Each argument in args must have type string or []string.

		}
	}
	if fail != "" || !finished || recovered != nil {
		fmt.Printf("%s--- FAIL: %s (%s)\n%s", chatty.prefix(), eg.Name, dstr, fail)
		passed = false
	} else if chatty.on {
		fmt.Printf("%s--- PASS: %s (%s)\n", chatty.prefix(), eg.Name, dstr)
	}

	if chatty.on && chatty.json {
		fmt.Printf("%s=== NAME   %s\n", chatty.prefix(), "")
	}

	if recovered != nil {

	vals, mstr, err := renderOperatorManifest(args, &oiArgs.common)
	if err != nil {
		l.LogAndFatal(err)
	}

	installerScope.Debugf("Installing operator charts with the following values:\n%s", vals)
	installerScope.Debugf("Using the following manifest to install operator:\n%s\n", mstr)

	opts := &applyOptions{
		DryRun: args.DryRun,
	}

			t.Fatalf("file %s failed validation with: %s", f, err)
		}
	}
}

func makeErrors(estr []string) util.Errors {
	var errs util.Errors
	for _, s := range estr {
		errs = util.AppendErr(errs, fmt.Errorf("%s", s))
	}
	return errs
}

func yamlFileFilter(path string) bool {
	return filepath.Base(path) == "values.yaml"

	info = Info{
		Total:  uint64(s.Frsize) * (uint64(s.Blocks) - reservedBlocks),
		Free:   uint64(s.Frsize) * uint64(s.Bavail),
		Files:  uint64(s.Files),
		Ffree:  uint64(s.Ffree),
		FSType: getFSType(s.Fstr[:]),
	}
	if info.Free > info.Total {
		return info, fmt.Errorf("detected free space (%d) > total drive space (%d), fs corruption at (%s). please run 'fsck'", info.Free, info.Total, path)
	}
	info.Used = info.Total - info.Free

		} else {
			args[key] = values
		}
	}

	// JWT specific values
	//
	// Add all string claims
	for k, v := range claims {
		vStr, ok := v.(string)
		if ok {
			// Trim any LDAP specific prefix
			args[strings.ToLower(strings.TrimPrefix(k, "ldap"))] = []string{vStr}
		}
	}

	// Add groups claim which could be a list. This will ensure that the claim
	// `jwt:groups` works.

		if d, err := name.NewDigest(key.downloadURL[len(ociURLPrefix):]); err == nil {
			// If there is no checksum and the digest is suffixed in URL, use the digest.
			dstr := d.DigestStr()
			if strings.HasPrefix(dstr, sha256SchemePrefix) {
				key.checksum = dstr[len(sha256SchemePrefix):]
			}
			// For other digest scheme, give up to use cache.
		}
	}

	if len(key.checksum) == 0 {

		if err != nil {
			return err
		}
		if !found {
			scope.Debugf("path %s not found in helm Value.yaml tree, skip mapping.", inPath)
			continue
		}

		if mstr, ok := m.(string); ok && mstr == "" {
			scope.Debugf("path %s is empty string, skip mapping.", inPath)
			continue
		}
		// Zero int values are due to proto3 compiling to scalars rather than ptrs. Skip these because values of 0 are

    ```

The query parameter `q` is of type `Union[str, None]` (or `str | None` in Python 3.10), that means that it's of type `str` but could also be `None`, and indeed, the default value is `None`, so FastAPI will know it's not required.

!!! note
    FastAPI will know that the value of `q` is not required because of the default value `= None`.