prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  Doesn't catch invalid `rate(1 hours)`
  *cfn-lint version: (`cfn-lint --version`)*
  
  0.44.7
  
  *Description of issue.*
  
  cfn-lint doesn't recognize that this ScheduledExpression is invalid (should be `rate(1 hour)`)
  ```yaml
    ExampleRule:
      Type: AWS::Events::Rule
      Properties:
        Description: desc
        Name: name
        ScheduleExpression: rate(1 hours)
        State: ENABLED
  ```
  
  But when building the cloudformation, I get the following error:
  
  ```
  Parameter ScheduleExpression is not valid. (Service: AmazonCloudWatchEvents; Status Code: 400; Error Code: ValidationException; Request ID: ...; Proxy: null)
  ```
  
  I saw #816, but since this is a `rate` issue, not a `cron` issue, I thought I should open a new ticket
  
  </issue>
  <code>
  [start of src/cfnlint/rules/resources/events/RuleScheduleExpression.py]
  1 """
  2 Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved.
  3 SPDX-License-Identifier: MIT-0
  4 """
  5 from cfnlint.rules import CloudFormationLintRule, RuleMatch
  6 
  7 
  8 class RuleScheduleExpression(CloudFormationLintRule):
  9     """Validate AWS Events Schedule expression format"""
  10 
  11     id = "E3027"
  12     shortdesc = "Validate AWS Event ScheduleExpression format"
  13     description = "Validate the formation of the AWS::Event ScheduleExpression"
  14     source_url = "https://docs.aws.amazon.com/AmazonCloudWatch/latest/events/ScheduledEvents.html"
  15     tags = ["resources", "events"]
  16 
  17     def initialize(self, cfn):
  18         """Initialize the rule"""
  19         self.resource_property_types = ["AWS::Events::Rule"]
  20 
  21     def check_rate(self, value, path):
  22         """Check Rate configuration"""
  23         matches = []
  24         # Extract the expression from rate(XXX)
  25         rate_expression = value[value.find("(") + 1 : value.find(")")]
  26 
  27         if not rate_expression:
  28             matches.append(
  29                 RuleMatch(path, "Rate value of ScheduleExpression cannot be empty")
  30             )
  31         else:
  32             # Rate format: rate(Value Unit)
  33             items = rate_expression.split(" ")
  34 
  35             if len(items) != 2:
  36                 message = "Rate expression must contain 2 elements (Value Unit), rate contains {} elements"
  37                 matches.append(RuleMatch(path, message.format(len(items))))
  38             else:
  39                 # Check the Value
  40                 if not items[0].isdigit():
  41                     message = "Rate Value ({}) should be of type Integer."
  42                     extra_args = {
  43                         "actual_type": type(items[0]).__name__,
  44                         "expected_type": int.__name__,
  45                     }
  46                     matches.append(
  47                         RuleMatch(path, message.format(items[0]), **extra_args)
  48                     )
  49 
  50         return matches
  51 
  52     def check_cron(self, value, path):
  53         """Check Cron configuration"""
  54         matches = []
  55         # Extract the expression from cron(XXX)
  56         cron_expression = value[value.find("(") + 1 : value.find(")")]
  57 
  58         if not cron_expression:
  59             matches.append(
  60                 RuleMatch(path, "Cron value of ScheduleExpression cannot be empty")
  61             )
  62         else:
  63             # Rate format: cron(Minutes Hours Day-of-month Month Day-of-week Year)
  64             items = cron_expression.split(" ")
  65 
  66             if len(items) != 6:
  67                 message = "Cron expression must contain 6 elements (Minutes Hours Day-of-month Month Day-of-week Year), cron contains {} elements"
  68                 matches.append(RuleMatch(path, message.format(len(items))))
  69                 return matches
  70 
  71             _, _, day_of_month, _, day_of_week, _ = cron_expression.split(" ")
  72             if day_of_month != "?" and day_of_week != "?":
  73                 matches.append(
  74                     RuleMatch(
  75                         path,
  76                         "Don't specify the Day-of-month and Day-of-week fields in the same cron expression",
  77                     )
  78                 )
  79 
  80         return matches
  81 
  82     def check_value(self, value, path):
  83         """Count ScheduledExpression value"""
  84         matches = []
  85 
  86         # Value is either "cron()" or "rate()"
  87         if value.startswith("rate(") and value.endswith(")"):
  88             matches.extend(self.check_rate(value, path))
  89         elif value.startswith("cron(") and value.endswith(")"):
  90             matches.extend(self.check_cron(value, path))
  91         else:
  92             message = "Invalid ScheduledExpression specified ({}). Value has to be either cron() or rate()"
  93             matches.append(RuleMatch(path, message.format(value)))
  94 
  95         return matches
  96 
  97     def match_resource_properties(self, properties, _, path, cfn):
  98         """Check CloudFormation Properties"""
  99         matches = []
  100 
  101         matches.extend(
  102             cfn.check_value(
  103                 obj=properties,
  104                 key="ScheduleExpression",
  105                 path=path[:],
  106                 check_value=self.check_value,
  107             )
  108         )
  109 
  110         return matches
  111
  [end of src/cfnlint/rules/resources/events/RuleScheduleExpression.py]
  </code>
  
  I need you to solve this issue by generating a single patch file that I can apply directly to this repository using git apply. Please respond with a single patch file in the following format.
  <patch>
  diff --git a/file.py b/file.py
  --- a/file.py
  +++ b/file.py
  @@ -1,27 +1,35 @@
   def euclidean(a, b):
  -    while b:
  -        a, b = b, a % b
  -    return a
  +    if b == 0:
  +        return a
  +    return euclidean(b, a % b)
   
   
   def bresenham(x0, y0, x1, y1):
       points = []
       dx = abs(x1 - x0)
       dy = abs(y1 - y0)
  -    sx = 1 if x0 < x1 else -1
  -    sy = 1 if y0 < y1 else -1
  -    err = dx - dy
  +    x, y = x0, y0
  +    sx = -1 if x0 > x1 else 1
  +    sy = -1 if y0 > y1 else 1
   
  -    while True:
  -        points.append((x0, y0))
  -        if x0 == x1 and y0 == y1:
  -            break
  -        e2 = 2 * err
  -        if e2 > -dy:
  -            err -= dy
  -            x0 += sx
  -        if e2 < dx:
  -            err += dx
  -            y0 += sy
  +    if dx > dy:
  +        err = dx / 2.0
  +        while x != x1:
  +            points.append((x, y))
  +            err -= dy
  +            if err < 0:
  +                y += sy
  +                err += dx
  +            x += sx
  +    else:
  +        err = dy / 2.0
  +        while y != y1:
  +            points.append((x, y))
  +            err -= dx
  +            if err < 0:
  +                x += sx
  +                err += dy
  +            y += sy
  +
  +    points.append((x, y))
       return points
  
  </patch>
golden_diff: diff --git a/src/cfnlint/rules/resources/events/RuleScheduleExpression.py b/src/cfnlint/rules/resources/events/RuleScheduleExpression.py
  --- a/src/cfnlint/rules/resources/events/RuleScheduleExpression.py
  +++ b/src/cfnlint/rules/resources/events/RuleScheduleExpression.py
  @@ -25,29 +25,43 @@
           rate_expression = value[value.find("(") + 1 : value.find(")")]
   
           if not rate_expression:
  -            matches.append(
  -                RuleMatch(path, "Rate value of ScheduleExpression cannot be empty")
  -            )
  -        else:
  -            # Rate format: rate(Value Unit)
  -            items = rate_expression.split(" ")
  -
  -            if len(items) != 2:
  -                message = "Rate expression must contain 2 elements (Value Unit), rate contains {} elements"
  -                matches.append(RuleMatch(path, message.format(len(items))))
  -            else:
  -                # Check the Value
  -                if not items[0].isdigit():
  -                    message = "Rate Value ({}) should be of type Integer."
  -                    extra_args = {
  -                        "actual_type": type(items[0]).__name__,
  -                        "expected_type": int.__name__,
  -                    }
  -                    matches.append(
  -                        RuleMatch(path, message.format(items[0]), **extra_args)
  -                    )
  +            return [RuleMatch(path, "Rate value of ScheduleExpression cannot be empty")]
  +
  +        # Rate format: rate(Value Unit)
  +        items = rate_expression.split(" ")
  +
  +        if len(items) != 2:
  +            message = "Rate expression must contain 2 elements (Value Unit), rate contains {} elements"
  +            matches.append(RuleMatch(path, message.format(len(items))))
  +            return [RuleMatch(path, message.format(len(items)))]
  +
  +        # Check the Value
  +        if not items[0].isdigit():
  +            message = "Rate Value ({}) should be of type Integer."
  +            extra_args = {
  +                "actual_type": type(items[0]).__name__,
  +                "expected_type": int.__name__,
  +            }
  +            return [RuleMatch(path, message.format(items[0]), **extra_args)]
  +
  +        if float(items[0]) <= 0:
  +            return [
  +                RuleMatch(path, f"Rate Value {items[0]!r} should be greater than 0.")
  +            ]
  +
  +        if float(items[0]) <= 1:
  +            valid_periods = ["minute", "hour", "day"]
  +        elif float(items[0]) > 1:
  +            valid_periods = ["minutes", "hours", "days"]
  +        # Check the Unit
  +        if items[1] not in valid_periods:
  +            return [
  +                RuleMatch(
  +                    path, f"Rate Unit {items[1]!r} should be one of {valid_periods!r}."
  +                )
  +            ]
   
  -        return matches
  +        return []
   
       def check_cron(self, value, path):
           """Check Cron configuration"""
  
verification_info: {"golden_diff": "diff --git a/src/cfnlint/rules/resources/events/RuleScheduleExpression.py b/src/cfnlint/rules/resources/events/RuleScheduleExpression.py\n--- a/src/cfnlint/rules/resources/events/RuleScheduleExpression.py\n+++ b/src/cfnlint/rules/resources/events/RuleScheduleExpression.py\n@@ -25,29 +25,43 @@\n         rate_expression = value[value.find(\"(\") + 1 : value.find(\")\")]\n \n         if not rate_expression:\n-            matches.append(\n-                RuleMatch(path, \"Rate value of ScheduleExpression cannot be empty\")\n-            )\n-        else:\n-            # Rate format: rate(Value Unit)\n-            items = rate_expression.split(\" \")\n-\n-            if len(items) != 2:\n-                message = \"Rate expression must contain 2 elements (Value Unit), rate contains {} elements\"\n-                matches.append(RuleMatch(path, message.format(len(items))))\n-            else:\n-                # Check the Value\n-                if not items[0].isdigit():\n-                    message = \"Rate Value ({}) should be of type Integer.\"\n-                    extra_args = {\n-                        \"actual_type\": type(items[0]).__name__,\n-                        \"expected_type\": int.__name__,\n-                    }\n-                    matches.append(\n-                        RuleMatch(path, message.format(items[0]), **extra_args)\n-                    )\n+            return [RuleMatch(path, \"Rate value of ScheduleExpression cannot be empty\")]\n+\n+        # Rate format: rate(Value Unit)\n+        items = rate_expression.split(\" \")\n+\n+        if len(items) != 2:\n+            message = \"Rate expression must contain 2 elements (Value Unit), rate contains {} elements\"\n+            matches.append(RuleMatch(path, message.format(len(items))))\n+            return [RuleMatch(path, message.format(len(items)))]\n+\n+        # Check the Value\n+        if not items[0].isdigit():\n+            message = \"Rate Value ({}) should be of type Integer.\"\n+            extra_args = {\n+                \"actual_type\": type(items[0]).__name__,\n+                \"expected_type\": int.__name__,\n+            }\n+            return [RuleMatch(path, message.format(items[0]), **extra_args)]\n+\n+        if float(items[0]) <= 0:\n+            return [\n+                RuleMatch(path, f\"Rate Value {items[0]!r} should be greater than 0.\")\n+            ]\n+\n+        if float(items[0]) <= 1:\n+            valid_periods = [\"minute\", \"hour\", \"day\"]\n+        elif float(items[0]) > 1:\n+            valid_periods = [\"minutes\", \"hours\", \"days\"]\n+        # Check the Unit\n+        if items[1] not in valid_periods:\n+            return [\n+                RuleMatch(\n+                    path, f\"Rate Unit {items[1]!r} should be one of {valid_periods!r}.\"\n+                )\n+            ]\n \n-        return matches\n+        return []\n \n     def check_cron(self, value, path):\n         \"\"\"Check Cron configuration\"\"\"\n", "issue": "Doesn't catch invalid `rate(1 hours)`\n*cfn-lint version: (`cfn-lint --version`)*\r\n\r\n0.44.7\r\n\r\n*Description of issue.*\r\n\r\ncfn-lint doesn't recognize that this ScheduledExpression is invalid (should be `rate(1 hour)`)\r\n```yaml\r\n  ExampleRule:\r\n    Type: AWS::Events::Rule\r\n    Properties:\r\n      Description: desc\r\n      Name: name\r\n      ScheduleExpression: rate(1 hours)\r\n      State: ENABLED\r\n```\r\n\r\nBut when building the cloudformation, I get the following error:\r\n\r\n```\r\nParameter ScheduleExpression is not valid. (Service: AmazonCloudWatchEvents; Status Code: 400; Error Code: ValidationException; Request ID: ...; Proxy: null)\r\n```\r\n\r\nI saw #816, but since this is a `rate` issue, not a `cron` issue, I thought I should open a new ticket\n", "before_files": [{"content": "\"\"\"\nCopyright Amazon.com, Inc. or its affiliates. All Rights Reserved.\nSPDX-License-Identifier: MIT-0\n\"\"\"\nfrom cfnlint.rules import CloudFormationLintRule, RuleMatch\n\n\nclass RuleScheduleExpression(CloudFormationLintRule):\n    \"\"\"Validate AWS Events Schedule expression format\"\"\"\n\n    id = \"E3027\"\n    shortdesc = \"Validate AWS Event ScheduleExpression format\"\n    description = \"Validate the formation of the AWS::Event ScheduleExpression\"\n    source_url = \"https://docs.aws.amazon.com/AmazonCloudWatch/latest/events/ScheduledEvents.html\"\n    tags = [\"resources\", \"events\"]\n\n    def initialize(self, cfn):\n        \"\"\"Initialize the rule\"\"\"\n        self.resource_property_types = [\"AWS::Events::Rule\"]\n\n    def check_rate(self, value, path):\n        \"\"\"Check Rate configuration\"\"\"\n        matches = []\n        # Extract the expression from rate(XXX)\n        rate_expression = value[value.find(\"(\") + 1 : value.find(\")\")]\n\n        if not rate_expression:\n            matches.append(\n                RuleMatch(path, \"Rate value of ScheduleExpression cannot be empty\")\n            )\n        else:\n            # Rate format: rate(Value Unit)\n            items = rate_expression.split(\" \")\n\n            if len(items) != 2:\n                message = \"Rate expression must contain 2 elements (Value Unit), rate contains {} elements\"\n                matches.append(RuleMatch(path, message.format(len(items))))\n            else:\n                # Check the Value\n                if not items[0].isdigit():\n                    message = \"Rate Value ({}) should be of type Integer.\"\n                    extra_args = {\n                        \"actual_type\": type(items[0]).__name__,\n                        \"expected_type\": int.__name__,\n                    }\n                    matches.append(\n                        RuleMatch(path, message.format(items[0]), **extra_args)\n                    )\n\n        return matches\n\n    def check_cron(self, value, path):\n        \"\"\"Check Cron configuration\"\"\"\n        matches = []\n        # Extract the expression from cron(XXX)\n        cron_expression = value[value.find(\"(\") + 1 : value.find(\")\")]\n\n        if not cron_expression:\n            matches.append(\n                RuleMatch(path, \"Cron value of ScheduleExpression cannot be empty\")\n            )\n        else:\n            # Rate format: cron(Minutes Hours Day-of-month Month Day-of-week Year)\n            items = cron_expression.split(\" \")\n\n            if len(items) != 6:\n                message = \"Cron expression must contain 6 elements (Minutes Hours Day-of-month Month Day-of-week Year), cron contains {} elements\"\n                matches.append(RuleMatch(path, message.format(len(items))))\n                return matches\n\n            _, _, day_of_month, _, day_of_week, _ = cron_expression.split(\" \")\n            if day_of_month != \"?\" and day_of_week != \"?\":\n                matches.append(\n                    RuleMatch(\n                        path,\n                        \"Don't specify the Day-of-month and Day-of-week fields in the same cron expression\",\n                    )\n                )\n\n        return matches\n\n    def check_value(self, value, path):\n        \"\"\"Count ScheduledExpression value\"\"\"\n        matches = []\n\n        # Value is either \"cron()\" or \"rate()\"\n        if value.startswith(\"rate(\") and value.endswith(\")\"):\n            matches.extend(self.check_rate(value, path))\n        elif value.startswith(\"cron(\") and value.endswith(\")\"):\n            matches.extend(self.check_cron(value, path))\n        else:\n            message = \"Invalid ScheduledExpression specified ({}). Value has to be either cron() or rate()\"\n            matches.append(RuleMatch(path, message.format(value)))\n\n        return matches\n\n    def match_resource_properties(self, properties, _, path, cfn):\n        \"\"\"Check CloudFormation Properties\"\"\"\n        matches = []\n\n        matches.extend(\n            cfn.check_value(\n                obj=properties,\n                key=\"ScheduleExpression\",\n                path=path[:],\n                check_value=self.check_value,\n            )\n        )\n\n        return matches\n", "path": "src/cfnlint/rules/resources/events/RuleScheduleExpression.py"}]}