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Otherwise (with no sorting case), processing S1 will reach the leaf which has the interval [ S1# S1#] where S1# is the identification number of S1, and there is no need for executing the procedure in Algorithm 2. Instead, the interval of the leaf will be updated to S2 identification number.
If the strings are sorted, then we assume that sorting will filter S 1. Otherwise (with no sorting case), processing S 1 will reach the leaf which has the interval [ S 1# S 1#] where S 1# is the identification number of S 1, and there is no need for executing the procedure in Algorithm 2. Instead, the interval of the leaf will be updated to S 2 identification number.
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A context on an and-refinement influences the need for reaching or executing the corresponding subgoal/subtask, while a context on an or-refinement is itself needed to hold before adopting the corresponding subgoal/subtask.
His portrait could symbolise the manoeuvres that Italians will need to execute for their country to join Europe's single currency after 1998.
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