java - Date split - algorithm -

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i have few date ranges have split there no overlapping sets. in below table, record 0 has split 2 (0-1/01/2014-1/11/2014), (0-1/12/2014-1/12/2014) differentiate first range range not overlapping other ranges , and second range overlapping record# 1 range. 

 table1 record#    start date    end date       0     1/05/2014     1/12/2014       1     1/12/2014     1/23/2014       2     1/14/2014     1/16/2014  result table need this...  table2 record    startdate    enddate      0     1/05/2014    1/11/2014      0     1/12/2014    1/12/2014      1     1/12/2014    1/12/2014      1     1/13/2014    1/13/2014      1     1/14/2014    1/16/2014      2     1/14/2014    1/16/2014      1     1/17/2014    1/23/2014

i have followed approach below, didn't give me desired results.

 prepare list:  (1/05/2014, 1/12/2014, 1/14/2014, 1/16/2014, 1/23/2014)  prepare interval list:  (1/05/2014, 1/11/2014), (1/12/2014, 1/13/2014), (1/14/2014, 1/15/2014), (1/16/2014, 1/23/2014)


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