官方解答｜區域首尾回填

官方解答｜區域首尾回填

解題目標

每列回填同 zone 按 id 升序的首列與末列 reading；不忽略首尾 NULL，輸出 id、first_reading、last_reading，使用完整組而非目前列的範圍。

查詢步驟

OVER 指定分組及分析順序，排名只對題目指定值判斷平手。累計／移動範圍使用明確 ROWS；外層 ORDER BY 另外固定最終順序。 依序輸出欄位 id, first_reading, last_reading。最終排序：id 升序。

正確性

各階段分別實現指定篩列、數值或分組規則。每個保留項目只貢獻題意要求的次數；未配對、缺值與平手依明文規則處理。最後固定別名及排序，因而得到要求的列數、欄位順序與內容。

NULL 與邊界

NULL 表示缺值，不等於 0 或空字串。WHERE／HAVING 只保留真值，假或未知皆排除；一般等號不匹配 NULL。算術操作數缺值時結果為 NULL，除非題目指定備援規則。COUNT(欄位)、SUM、AVG、MIN、MAX 忽略該欄 NULL；COUNT(*) 計算列數。未要求分組或去重時保留所有重複紀錄。空結果仍須具有指定欄名。 每列回填同 zone 按 id 升序的首列與末列 reading；不忽略首尾 NULL，輸出 id、first_reading、last_reading，使用完整組而非目前列的範圍。

公開範例

fixture 為 {"tables":[{"name":"readings","columns":[{"name":"id","type":"INTEGER","nullable":false},{"name":"zone","type":"TEXT","nullable":true},{"name":"reading","type":"INTEGER","nullable":true},{"name":"weight","type":"INTEGER","nullable":true},{"name":"flag","type":"INTEGER","nullable":true},{"name":"day","type":"INTEGER","nullable":false},{"name":"label","type":"TEXT","nullable":true}],"rows":[[21,"north",7,null,null,2,"a"],[41,"south",-2,0,1,4,null],[11,"west",null,4,0,2,"beta"],[31,"north",3,2,1,1,"alpha"]]}]}。按題意處理並完成排序後得到 {"columns":["id","first_reading","last_reading"],"rows":[[11,null,null],[21,7,3],[31,7,3],[41,-2,-2]]}。即使沒有結果列，也必須保留指定欄名。

複雜度

設輸入列數為 n、結果列數為 k。逐列計算或統計為 O(n)，比較排序通常需要 O(n log(n+1))；分組／去重／視窗也可能需要排序與 O(n) 暫存資料。輸出儲存為 O(k)。實際成本依資料庫執行計畫而定，不能只從 SQL 的行數推斷。

三種方言

下方分別提供完整 SQLite、PostgreSQL、MySQL 查詢。文字排序明寫二進位／字元碼排序；本題 ASCII 域中 SQLite LENGTH 對應其他引擎 CHAR_LENGTH。SQL NULL 輸出 JSON null，不輸出文字 "NULL"。

SELECT id AS id, first_reading AS first_reading, last_reading AS last_reading
FROM (
SELECT id AS id, FIRST_VALUE(reading) OVER (PARTITION BY zone ORDER BY id ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) AS first_reading, LAST_VALUE(reading) OVER (PARTITION BY zone ORDER BY id ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) AS last_reading
FROM readings
) query_result
ORDER BY id ASC;

SELECT id AS id, first_reading AS first_reading, last_reading AS last_reading
FROM (
SELECT id AS id, FIRST_VALUE(reading) OVER (PARTITION BY zone ORDER BY id ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) AS first_reading, LAST_VALUE(reading) OVER (PARTITION BY zone ORDER BY id ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) AS last_reading
FROM readings
) query_result
ORDER BY id ASC;

SELECT id AS id, first_reading AS first_reading, last_reading AS last_reading
FROM (
SELECT id AS id, FIRST_VALUE(reading) OVER (PARTITION BY zone ORDER BY id ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) AS first_reading, LAST_VALUE(reading) OVER (PARTITION BY zone ORDER BY id ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) AS last_reading
FROM readings
) query_result
ORDER BY id ASC;