Supported by the following organizations
This is to certify that Túlio Marcos successfully completed and received a passing grade in CS1332xIV: Data Structures & Algorithms IV: Pattern Matching, Dijkstra’s, MST, and Dynamic Programming Algorithms a course of study offered by GTx, an online learning initiative of the Georgia Institute of Technology.
Noted by
Dr. Mary Hudachek-Buswell
Associate Chair of the School of Computing Instruction Georgia Tech College of Computing
Dr. Nelson Baker
Dean of Professional Education Georgia Tech Professional Education
Dr. Vivek Sarkar
John P. Imlay Dean of Computing Georgia Tech College of Computing
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- Verified Certificate Issued December 17, 2025
- Valid Certificate ID e77f9d766b3943a5a449a92bab10c396