Preparing for a Google interview for a software engineer role requires focused and intensive preparation within a limited timeframe. Here's a suggested plan for the last month:

1. Understand the interview process: Familiarize yourself with Google's interview process for software engineer roles. Research the types of interviews you can expect, such as technical interviews, coding interviews, system design interviews, and behavioral interviews. Understand the format, duration, and expectations for each stage.

2. Review fundamental concepts and algorithms: Ensure your understanding of core data structures, algorithms, and system design principles is solid. Review topics such as arrays, linked lists, stacks, queues, trees, graphs, sorting algorithms, searching algorithms, and dynamic programming. Practice implementing these concepts and algorithms from scratch.

3. Solve practice problems: Dedicate a significant amount of time to solving coding problems. LeetCode, HackerRank, and CodeSignal offer practice problems tailored for interview preparation. Focus on problems that align with the type of questions commonly asked in Google interviews, such as problems related to strings, arrays, graphs, and dynamic programming.

4. Study Google-specific topics: Research common topics and areas of interest for Google interviews. These may include distributed systems, algorithms for large-scale data processing, scalability, optimization, and parallel computing. Study Google's technologies, such as MapReduce, Bigtable, and TensorFlow.

5. Review system design concepts: Understand the principles of system design, scalability, and distributed systems. Study topics like load balancing, caching, data partitioning, and database design. Practice designing scalable and efficient systems considering factors like performance, availability, and fault tolerance.

6. Mock interviews: Participate in mock interviews to simulate the actual interview experience. Seek out peers, friends, or mentors who can conduct technical and behavioral mock interviews with you. Practice explaining your thought process, code, and solutions clearly and concisely.

7. Explore Google's coding style and best practices: Familiarize yourself with Google's coding style and best practices. Review their guidelines for code readability, modularity, and efficiency. Pay attention to common programming pitfalls and how to avoid them.

8. Attend coding workshops or bootcamps: Consider attending coding workshops or bootcamps that specifically focus on interview preparation. These programs can provide structured learning, mentorship, and additional practice opportunities.

9. Utilize online resources: Take advantage of online resources such as YouTube tutorials, blogs, and forums. Look for coding interview advice, strategies, and solutions from experienced engineers who have gone through the Google interview process.

10. Take care of yourself: While intense preparation is necessary, it's also essential to maintain a healthy work-life balance. Make sure to get enough rest, exercise, and relaxation. Taking care of your physical and mental well-being will enhance your focus and performance during the interviews.

Remember, the key to success is consistent and focused preparation. Allocate dedicated study hours each day, set goals, and track your progress. Stay motivated, persevere through challenges, and use each practice session as an opportunity to learn and improve. Good luck with your Google interview!