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It's a well-known problem and the well-known solution is using a stack. I tried to solve it by segment tree( iterative version for building tree ) and got TLE. Hope I can optimize the code.  TLE CODE 

Critical Links 1026 LOJ { Articulation Bridges } Problem

Problem :: 1183 - Computing Fast Average LOJ

Problem :: 1339 - Strongest Community LOJ

Problem :: 1188 - Fast Queries LOJ

Problem :: 1135 - Count the Multiples of 3 LOJ

Problem 1082 - Array Queries LOJ