在AWS上创建公共和私有子网的架构，可以使用AWS CloudFormation进行自动化部署。以下是一个包含代码示例的解决方法：

1. 创建一个VPC：

Resources:
  MyVPC:
    Type: AWS::EC2::VPC
    Properties:
      CidrBlock: 10.0.0.0/16
      EnableDnsSupport: true
      EnableDnsHostnames: true

2. 创建公共子网：

Resources:
  PublicSubnet:
    Type: AWS::EC2::Subnet
    Properties:
      VpcId: !Ref MyVPC
      CidrBlock: 10.0.0.0/24
      AvailabilityZone: us-east-1a
      MapPublicIpOnLaunch: true

3. 创建私有子网：

Resources:
  PrivateSubnet:
    Type: AWS::EC2::Subnet
    Properties:
      VpcId: !Ref MyVPC
      CidrBlock: 10.0.1.0/24
      AvailabilityZone: us-east-1b
      MapPublicIpOnLaunch: false

4. 创建Internet网关：

Resources:
  InternetGateway:
    Type: AWS::EC2::InternetGateway

  GatewayAttachment:
    Type: AWS::EC2::VPCGatewayAttachment
    Properties:
      VpcId: !Ref MyVPC
      InternetGatewayId: !Ref InternetGateway

5. 创建路由表：

Resources:
  PublicRouteTable:
    Type: AWS::EC2::RouteTable
    Properties:
      VpcId: !Ref MyVPC

  PublicRoute:
    Type: AWS::EC2::Route
    DependsOn: GatewayAttachment
    Properties:
      RouteTableId: !Ref PublicRouteTable
      DestinationCidrBlock: 0.0.0.0/0
      GatewayId: !Ref InternetGateway

  AssociatePublicSubnetRouteTable:
    Type: AWS::EC2::SubnetRouteTableAssociation
    Properties:
      SubnetId: !Ref PublicSubnet
      RouteTableId: !Ref PublicRouteTable

6. 创建安全组：

Resources:
  MySecurityGroup:
    Type: AWS::EC2::SecurityGroup
    Properties:
      GroupDescription: Allow SSH access
      VpcId: !Ref MyVPC
      SecurityGroupIngress:
        - IpProtocol: tcp
          FromPort: 22
          ToPort: 22
          CidrIp: 0.0.0.0/0

这些代码片段可以放在一个CloudFormation模板文件中，然后通过AWS Management Console、AWS CLI或AWS SDK进行部署。