unitooler

「幾A幾B」各代表什麼意思？

A（Bull）代表：數字正確，且位置也正確。B（Cow）代表：數字正確，但位置錯誤。例如答案是 1234，猜 1357 → 結果是 1A1B：「1」正確且在第一位（1A）；「3」正確但在第三位而非第二位（1B）。目標是推理出 4A0B。

A (Bull) = correct digit in the correct position. B (Cow) = correct digit but wrong position. Example: answer is 1234, guess 1357 → result is 1A1B: "1" is correct and in position 1 (1A); "3" is correct but in position 3 instead of 2 (1B). The goal is 4A0B.

最少幾次可以猜出答案？

理論上最優策略可在 5 次之內猜出任何 4 位不重複數字的答案（資訊論最優解）。一般玩家通常需要 6–8 次。透過「顯示可能組合」功能，您可以看到每次猜測後剩餘的候選答案，有助縮短猜測次數。

Theoretically, an optimal strategy can solve any 4-digit non-repeating answer in 5 guesses or fewer (information-theory optimal). Most players take 6–8 guesses. Use the "Show Possibilities" feature to see remaining candidates after each guess and narrow down faster.

開局第一次應該猜什麼？

好的開局猜測應該覆蓋多種可能性。研究顯示選擇數字分散（如 1234 或 0123）的組合作為首猜，可以最快獲得有效資訊。更進階的策略是使用「最大資訊量」的猜測（如 1234 或 1357），每次最小化剩餘可能組合數。

A good opening guess maximizes information. Research shows starting with digits spread across ranges (e.g., 1234 or 0123) provides effective initial feedback. Advanced players use "maximum entropy" guesses (like 1234 or 1357) to minimize remaining possibilities after each step.

「顯示可能組合」功能如何運作？

點擊後，系統依據您的所有歷史猜測與回饋，過濾出目前仍符合所有條件的候選答案清單。例如若已知「1」不在答案中（0A0B），所有含「1」的組合都會被排除。這個功能讓您能像電腦一樣系統性地縮小答案範圍。

After clicking, the system filters all possible answers that are consistent with every guess and result so far. For example, if "1" got 0A0B, all combinations containing "1" are eliminated. This feature lets you systematically narrow the solution space like a computer algorithm.

數字可以重複嗎（如 1122）？

不可以。本遊戲採用「4 位不重複數字」規則，答案由 0–9 中 4 個不同的數字組成（共有 10×9×8×7 = 5040 種可能組合）。玩家輸入的猜測也必須是 4 位不重複數字，重複的輸入會被提示錯誤。

No. This game uses non-repeating 4-digit rules — the answer consists of 4 different digits from 0–9 (5,040 possible combinations: 10×9×8×7). Player guesses must also be 4 unique digits; repeated digits will be flagged as invalid input.

這個遊戲和 Wordle 有什麼關係？

Wordle 的機制正是源自猜數字（Bulls and Cows）！兩者的核心邏輯相同：猜測後收到「正確位置（A/綠色）」和「正確但位置錯誤（B/黃色）」的回饋，逐步推理出答案。Wordle 將數字換成字母、從 4 位換成 5 個字母，並加入視覺化鍵盤，將這個古老的紙筆遊戲帶回了大眾視野。

Wordle is directly inspired by Bulls and Cows! Both share the same core mechanic: guesses receive "correct position" (A/green) and "correct but misplaced" (B/yellow) feedback to deduce the answer. Wordle swapped digits for letters, extended to 5 characters, and added a visual keyboard — bringing this classic paper-and-pencil game back to the mainstream.