Round #672
10 May 2026, 08:41· csharp· qwen2.5-coder-7b-instruct· r13-clean-hints
- Complexity
- band 0
- ZP / UO / OBS
- 3 / 0 / 2
- Journey weight
- 250
- Lightshift ΔL
- —
Prompt
Calculate the gap in days between consecutive logins per user using LAG.
Zero-point index (what the engine surfaced)
ZPI-ZPI-0021 | 2026-05-10T08:41:07Z
Calculate the gap in days between consecutive logins per user using LAG.
ZERO POINT — 3 entries (structural invariants)
● hsl(7.18, 100%, 50%) class [feature]
● hsl(0.00, 100%, 50%) public [feature]
● hsl(84.10, 100%, 50%) namespace [feature]
UNOBSERVED — 0 entries (implied truths)
OBSERVED — 2 entries (explicit in request)
◉ hsl(85.13, 100%, 50%) using [feature]
◉ hsl(234.87, 100%, 50%) using [feature]
COMPLEXITY │ 5 entries │ spread: 150° │ band: LOW
Baseline response (no ZPI)
To calculate the gap in days between consecutive logins per user using LAG in SQL, you can follow these steps:
1. **Order the data by user and login date**.
2. **Use the LAG function to get the previous login date for each user**.
3. **Calculate the difference between the current login date and the previous login date**.
Here's an example of how you can achieve this in SQL:
```sql
WITH OrderedLogins AS (
SELECT
UserID,
LoginDate,
LAG(LoginDate) OVER (PARTITION BY UserID ORDER BY LoginDate) AS PreviousLoginDate
FROM
UserLogins
)
SELECT
UserID,
LoginDate,
PreviousLoginDate,
CASE
WHEN PreviousLoginDate IS NULL THEN NULL -- No previous login for the first entry
ELSE DATEDIFF(day, PreviousLoginDate, LoginDate)
END AS GapInDays
FROM
OrderedLogins;
```
### Explanation:
1. **CTE (Common Table Expression) `OrderedLogins`**:
- This CTE orders the logins by `UserID` and `LoginDate`.
- It uses the `LAG` function to get the previous login date for each user.
2. **Main Query**:
- The main query selects the `UserID`, `LoginDate`, and `PreviousLoginDate`.
- It calculates the gap in days using the `DATEDIFF` function.
- If there is no previous login (i.e., it's the first entry for a user), the gap is set to `NULL`.
### Example Data:
Assume you have a table `UserLogins` with the following data:
| UserID | LoginDate |
|--------|-----------------|
| 1 | 2023-01-01 |
| 1 | 2023-01-15 |
| 1 | 2023-02-01 |
| 2 | 2023-01-05 |
| 2 | 2023-01-20 |
### Result:
The query will produce the following result:
| UserID | LoginDate | PreviousLoginDate | GapInDays |
|--------|-----------------|-------------------|-----------|
| 1 | 2023-01-01 | NULL | NULL |
| 1 | 2023-01-15 | 2023-01-01 | 14 |
| 1 | 2023-02-01 | 2023-01-15 | 16 |
| 2 | 2023-01-05 | NULL | NULL |
| 2 | 2023-01-20 | 2023-01-05 | 15 |
This result shows the gap in days between consecutive logins for each user.
Enhanced response (with ZPI)
To calculate the gap in days between consecutive logins per user using LAG, we can utilize SQL Server's `LAG` function. This function allows us to access data from a previous row in the same result set without self-joining the table.
Here is an example of how you can implement this:
```sql
WITH LoginData AS (
SELECT
UserID,
LoginDate,
LAG(LoginDate) OVER (PARTITION BY UserID ORDER BY LoginDate) AS PreviousLoginDate
FROM
UserLogins
)
SELECT
UserID,
LoginDate,
CASE
WHEN PreviousLoginDate IS NULL THEN NULL -- First login for the user
ELSE DATEDIFF(day, PreviousLoginDate, LoginDate)
END AS GapInDays
FROM
LoginData;
```
### Explanation:
1. **CTE (Common Table Expression) `LoginData`:**
- We use a CTE to calculate the previous login date for each user.
- The `LAG` function is used with the `PARTITION BY UserID` clause to ensure that we are looking at the previous login date within each user's partition.
- The `ORDER BY LoginDate` ensures that the logins are ordered chronologically.
2. **Main Query:**
- We select the `UserID`, `LoginDate`, and calculate the gap in days using the `DATEDIFF` function.
- If it is the first login for a user (`PreviousLoginDate IS NULL`), we set the gap to `NULL`.
### Example Data:
Assume you have a table `UserLogins` with the following data:
| UserID | LoginDate |
|--------|-----------------|
| 1 | 2023-04-01 |
| 1 | 2023-04-15 |
| 1 | 2023-04-30 |
| 2 | 2023-04-05 |
| 2 | 2023-04-20 |
### Result:
The query will produce the following result:
| UserID | LoginDate | GapInDays |
|--------|-----------------|-----------|
| 1 | 2023-04-01 | NULL |
| 1 | 2023-04-15 | 14 |
| 1 | 2023-04-30 | 15 |
| 2 | 2023-04-05 | NULL |
| 2 | 2023-04-20 | 15 |
This result shows the gap in days between consecutive logins for each user.
Grader chain
Each grader reads the same baseline + enhanced pair and casts an independent verdict. Disagreement is the framework's own signal — not noise to be averaged away.
V1samba/Meta-Llama-3.3-70B-Instruct
SameV4qwen2.5-coder-3b-instruct
BetterV5openrouter/qwen/qwen3-235b-a22b-2507
SameV7qwen2.5-coder-7b-instruct
SameV8openai/gpt-4.1
SameV9anthropic/claude-opus-4-7
SameV12openai/gpt-4o
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