<p>Table: <code>Transactions</code></p>

<pre>

+------------------+------+

| Column Name ? ? ?| Type |

+------------------+------+

| transaction_id ? | int ?|

| customer_id ? ? ?| int ?|

| transaction_date | date |

| amount ? ? ? ? ? | int ?|

+------------------+------+

transaction_id is the primary key of this table.

Each row contains information about transactions that includes unique (customer_id, transaction_date) along with the corresponding customer_id and amount. ?

</pre>

<p>Write an SQL query to find the customers who have made consecutive transactions with increasing <code>amount</code>;for at least three consecutive days. Include the <code>customer_id</code>,;start date of the consecutive transactions;period and the end date of the consecutive transactions period. There can be multiple consecutive transactions by a customer.</p>

<p>Return <em>the result table ordered by</em> <code>customer_id</code> <em>in <strong>ascending</strong> order.</em></p>

<p>The query result format is in the following example.</p>

<p>;</p>

<p><strong class="example">Example 1:</strong></p>

<strong>Input:</strong>;

Transactions table:

| transaction_id | customer_id | transaction_date | amount|

-|-|-|-|

| 1| 101 | 2023-05-01 | 100|

| 2| 101 | 2023-05-02 | 150|

| 3| 101 | 2023-05-03 | 200|

| 4| 102 | 2023-05-01 | 50 |

| 5| 102 | 2023-05-03 | 100|

| 6| 102 | 2023-05-04 | 200|

| 7| 105 | 2023-05-01 | 100|

| 8| 105 | 2023-05-02 | 150|

| 9| 105 | 2023-05-03 | 200|

| 10 | 105 | 2023-05-04 | 300|

| 11 | 105 | 2023-05-12 | 250|

| 12 | 105 | 2023-05-13 | 260|

| 13 | 105 | 2023-05-14 | 270|

<strong>Output:</strong>;

| customer_id | consecutive_start | consecutive_end |

-|-|-|

| 101 | 2023-05-01 |2023-05-03|

| 105 | 2023-05-01 |2023-05-04|

| 105 | 2023-05-12 |2023-05-14|

<strong>Explanation:</strong>

- customer_id 101 has made consecutive transactions with increasing amounts from May 1st, 2023, to May 3rd, 2023

- customer_id 102 does not have any consecutive transactions for at least 3 days.;

- customer_id 105 has two sets of consecutive transactions: from May 1st, 2023, to May 4th, 2023, and from May 12th, 2023, to May 14th, 2023.;

customer_id is sorted in ascending order.