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Prioritization of test cases provides a way to run test cases with the highest priority earliest. Numerous empirical studies have shown that prioritization can improve a test suite's rate of fault detection. Software testers prioritize test cases, to reduce the cost of regression testing. History Based Approach is one of the methods to prioritize the test cases. This approach takes into account the history of each of the test cases of the test suite such as fault detection, number of executions and other such factors to prioritize the test cases in the coming sessions. This paper extends the above approach to the modified lines. The modified lines are being prioritized first and subsequently followed by the concerned test cases. The proposed approach has been able to detect fault faster than the previous approach with less effort in comparison to the previous approach.