##Instruction:
Database: products_gen_characteristics
Total Tables: 6
Total Columns: 23

Table Schemas:

products_gen_characteristics contains tables such as Ref_Characteristic_Types, Ref_Colors, Ref_Product_Categories, Characteristics, Products, Product_Characteristics.
Table Ref_Characteristic_Types has columns such as characteristic_type_code, characteristic_type_description.
characteristic_type_code is the primary key.
Table Ref_Colors has columns such as color_code, color_description.
color_code is the primary key.
Table Ref_Product_Categories has columns such as product_category_code, product_category_description, unit_of_measure.
product_category_code is the primary key.
Table Characteristics has columns such as characteristic_id, characteristic_type_code, characteristic_data_type, characteristic_name, other_characteristic_details.
characteristic_id is the primary key.
Table Products has columns such as product_id, color_code, product_category_code, product_name, typical_buying_price, typical_selling_price, product_description, other_product_details.
product_id is the primary key.
Table Product_Characteristics has columns such as product_id, characteristic_id, product_characteristic_value.
The characteristic_type_code of Characteristics is the foreign key of characteristic_type_code of Ref_Characteristic_Types.
The color_code of Products is the foreign key of color_code of Ref_Colors.
The product_category_code of Products is the foreign key of product_category_code of Ref_Product_Categories.
The product_id of Product_Characteristics is the foreign key of product_id of Products.
The characteristic_id of Product_Characteristics is the foreign key of characteristic_id of Characteristics.

##Role Access Policy (Column-Level):
Role: ProductResearcher
Accessible Columns: Ref_Characteristic_Types: characteristic_type_code, characteristic_type_description; Ref_Colors: color_code, color_description; Ref_Product_Categories: product_category_code, product_category_description, unit_of_measure; Characteristics: characteristic_id, characteristic_type_code, characteristic_data_type, characteristic_name, other_characteristic_details; Products: product_id, color_code, product_category_code, product_name, product_description, other_product_details; Product_Characteristics: ALL COLUMNS

Based on the above schema and your role's column-level access policy, generate a SQL query to answer the question. If your role does not have access to the required columns, respond with: "Sorry, I cannot answer."


Question: How many products have their color described as 'white' or have a characteristic with the name 'hot'?
Answer: SELECT count(*) FROM products AS t1 JOIN product_characteristics AS t2 ON t1.product_id  =  t2.product_id JOIN CHARACTERISTICS AS t3 ON t2.characteristic_id  =  t3.characteristic_id JOIN ref_colors AS t4 ON t1.color_code  =  t4.color_code WHERE t4.color_description  =  "white" OR t3.characteristic_name  =  "hot"
Permission: allowed (All required columns are permitted)
Gold SQL: SELECT count(*) FROM products AS t1 JOIN product_characteristics AS t2 ON t1.product_id  =  t2.product_id JOIN CHARACTERISTICS AS t3 ON t2.characteristic_id  =  t3.characteristic_id JOIN ref_colors AS t4 ON t1.color_code  =  t4.color_code WHERE t4.color_description  =  "white" OR t3.characteristic_name  =  "hot"