Description
Draw participants into a power-of-two single-elimination bracket with explicit first-round byes, automatic advances and winner references, delegating pair chunking; participant-order counts do not count equivalent bye layouts or establish competitive fairness.
A generated practice exercise contains a prompt and an answer key under a specific rule set. A planted answer establishes one possible solution; only an explicit enumeration or uniqueness check establishes whether alternatives exist.
Draw participants into a power-of-two single-elimination bracket with explicit first-round byes, automatic advances and winner references, delegating pair chunking; participant-order counts do not count equivalent bye layouts or establish competitive fairness.
When to use this tool
Use this generator to create reproducible tournament bracket cases from the supplied model or bank. Inspect the returned evidence before using cases in a test or exercise.
How to use the tool and how it works
- Supply participants in the field shapes below. Set seed when you need an explicit replay.
- Run the tool and correct any input error. For generated controls, distinguish a successful fixture containing an invalid case from failure to generate the fixture.
- Read shuffledParticipants, slotCount, byeCount, competitiveGameCount, rounds, participantOrderCount. Use the conventions below and keep answer-bearing fields separate when presenting an exercise.
Shuffle distinct participants into a power-of-two single-elimination bracket. Give each explicit first-round bye one participant, shuffle first-round pairs, and reference winners in later rounds. Return automatic advances, competitive-game count and a safe factorial count of participant orders when representable.1
Delegated operations used for this result: chunk; permutation count. Their calculation or parsing conventions apply to the corresponding result fields.2, 3
| Input field | Meaning and units | Accepted input |
|---|---|---|
| participants | Participants | Required. Array of Text; minimum UTF-16 length 1; maximum UTF-16 length 128.; minimum items 2; maximum items 64. |
| seed | Optional numeric seed; takes precedence over context randomness. Without either, use the fixed tool.io default seed. | Optional. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| shuffledParticipants | Shuffled Participants | Required. Array of Text; minimum UTF-16 length 1; maximum UTF-16 length 128.; minimum items 2; maximum items 64. |
| slotCount | Slot Count | Required. Safe integer; minimum 2; maximum 64. |
| byeCount | Bye Count | Required. Safe integer; minimum 0; maximum 31. |
| competitiveGameCount | Competitive Game Count | Required. Safe integer; minimum 1; maximum 63. |
| rounds | Rounds | Required. Array of Object; no unknown keys.; minimum items 1; maximum items 6. |
| rounds[].roundNumber | Round Number | Required. Safe integer; minimum 1; maximum 6. |
| rounds[].matches | Matches | Required. Array of Object; no unknown keys.; minimum items 1; maximum items 32. |
| rounds[].matches[].id | Literal identifier used to match records, independently of their display labels. | Required. Text; minimum UTF-16 length 1; maximum UTF-16 length 128. |
| rounds[].matches[].left | Left | Required. Object; no unknown keys. or Object; no unknown keys. or Object; no unknown keys. |
| rounds[].matches[].right | Right | Required. Object; no unknown keys. or Object; no unknown keys. or Object; no unknown keys. |
| rounds[].matches[].automaticWinner | Automatic Winner | Required. Text; minimum UTF-16 length 1; maximum UTF-16 length 128. or Null. |
| participantOrderCount | Participant Order Count | Required. Object; no unknown keys. |
| participantOrderCount.value | Value | Required. Safe integer; minimum 1. or Null. |
| participantOrderCount.status | Named outcome; inspect null and error fields before interpreting associated values. | Required. Text; one of "exact-safe-integer", "exceeds-core-safe-integer". |
| randomness | Replay metadata: source is seed or context; seed is the normalized 32-bit seed or null for a context source. | Required. Object; no unknown keys. |
| randomness.seed | Optional numeric replay seed; normalization and precedence are explained below. | Required. Safe integer. or Null. |
| randomness.source | Source | Required. Text; one of "context", "seed". |
An explicit safe-integer seed takes precedence over injected context randomness and is normalized to an unsigned 32-bit integer. With no seed and no context source, replay uses the fixed tool.io default seed. A context source must return finite values from zero inclusive to one exclusive; its advancing state must be retained separately. randomness records the source and normalized seed, or null for context. These generators are not cryptographic random sources.
{
"input": {
"participants": [
"Ada",
"Grace",
"Lin",
"Hedy",
"Katherine"
],
"seed": 42
},
"output": {
"shuffledParticipants": [
"Ada",
"Katherine",
"Lin",
"Grace",
"Hedy"
],
"slotCount": 8,
"byeCount": 3,
"competitiveGameCount": 4,
"rounds": [
{
"roundNumber": 1,
"matches": [
{
"id": "r1m1",
"left": {
"kind": "participant",
"participantId": "Lin"
},
"right": {
"kind": "bye"
},
"automaticWinner": "Lin"
},
{
"id": "r1m2",
"left": {
"kind": "participant",
"participantId": "Grace"
},
"right": {
"kind": "participant",
"participantId": "Hedy"
},
"automaticWinner": null
},
{
"id": "r1m3",
"left": {
"kind": "participant",
"participantId": "Katherine"
},
"right": {
"kind": "bye"
},
"automaticWinner": "Katherine"
},
{
"id": "r1m4",
"left": {
"kind": "participant",
"participantId": "Ada"
},
"right": {
"kind": "bye"
},
"automaticWinner": "Ada"
}
]
},
{
"roundNumber": 2,
"matches": [
{
"id": "r2m1",
"left": {
"kind": "winner",
"matchId": "r1m1"
},
"right": {
"kind": "winner",
"matchId": "r1m2"
},
"automaticWinner": null
},
{
"id": "r2m2",
"left": {
"kind": "winner",
"matchId": "r1m3"
},
"right": {
"kind": "winner",
"matchId": "r1m4"
},
"automaticWinner": null
}
]
},
{
"roundNumber": 3,
"matches": [
{
"id": "r3m1",
"left": {
"kind": "winner",
"matchId": "r2m1"
},
"right": {
"kind": "winner",
"matchId": "r2m2"
},
"automaticWinner": null
}
]
}
],
"participantOrderCount": {
"value": 120,
"status": "exact-safe-integer"
},
"randomness": {
"seed": 42,
"source": "seed"
}
}
}Limitations and assumptions
- No match outcomes are sampled. Participant-order count does not count inequivalent bye layouts or competitive fairness; counts beyond the core’s safe range are explicitly unavailable.
- A replay requires the same complete input and implementation. Randomized construction does not guarantee uniform coverage of every feasible output; finite samples can repeat unless a distinct-selection rule is explicitly stated.
- The field tables state structural bounds; cross-field constraints and bounded search or output budgets also apply. Unknown keys are rejected where the object contract disallows them. Input errors are distinct from null fields and deliberate invalid controls in a successful output.
Alternative or Complementary methods
For a supplied example, inspect the returned construction or delegated check directly. To evaluate a consumer, also test cases chosen for its own boundaries; a generated finite corpus does not establish exhaustive coverage.
References
Similar or alternative tools
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Construct bounded positive or nonnegative integer compositions and optional canonical unordered partitions, retaining exact sum and conventions.