Sunny Number Check — Level 5

Far beneath the waves in the submerged city of Aqualib, the merfolk council has summoned a Recursion Renegade engineer. The great tidal turbine that powers the city is choking on raw data, and the problem has been logged as "Sunny Number Check — Level 5". The ocean currents grow stronger as the turbine struggles. A young mer-engineer named Nami swims through the glowing kelp into the turbine chamber. Bioluminescent fish dart away as she opens the maintenance panel. The city will go dark if she cannot write the correct algorithm. Read a non-negative integer and print Yes if n+1 is a perfect square. The turbine operates under strict pressure and memory constraints: 0 <= n <= 10^9 The maintenance logs contain these calibration records: Input: 3 Output: Yes Water begins to seep into the lower districts. Nami's gills flare as she works faster. She needs a solution that flows as smoothly as the ocean itself. Write the code that will keep Aqualib shining through the darkest depths. The path to mastering Sunny Number Check — Level 5 is not one that can be walked in a single step. It demands patience, precision, and a deep respect for the boundaries that shape the problem. Many adventurers before you have attempted this trial and failed, their code crashing against the very constraints that the elders inscribed. But you have the tools. You have the training. You have reached the Recursion Renegade tier, and that alone means the council believes in your potential. Look once more at the examples above. Trace the logic with your finger if you must. Consider the time and memory limits carefully, for they are not suggestions but strict laws of the arena. When you are ready, commit your solution. Let the compiler run. Let the test cases judge your work. If your code is true, the gates will open and you will move closer to the ultimate rank. If not, study the failure, sharpen your algorithm, and try again. For in the halls of CodeTikki, the only thing more important than success is the wisdom gained from the attempt. Remember that the Recursion Renegade challenge is designed to test not just knowledge, but character. Every edge case is a lesson. Every time limit is a teacher. Every hidden test is a guardian at the gate. Do not rush. Let your code breathe. Let it be as clean as a mountain stream. When the final test passes, you will know that you have earned the title. Until then, code with courage, test with care, and never stop learning.