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Calculate the number of consecutive levels passed when starting from each index with a fixed initial energy.
A level is cleared only if the remaining energy after paying its cost meets or exceeds its specific threshold.
The solution requires efficiently computing results for all starting positions in linear time.
What This Tests
Prefix sum optimization for cumulative cost tracking
Algebraic rearrangement of inequality conditions
Monotonic property exploitation for algorithmic efficiency
Two-pointer sweep across array indices
Common Patterns
Prefix Sum
Two Pointers
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