We consider the following problem with 4 stu- dents and 3 schools depicted in Table 1. Schools s and s3 have a capacity of 1 and school 82 has a capacity of 2. P P P Pis Ps2 Ps3 14 82 22 13 82 $1 $1 $2 21 13 $1 82 $2 83 12 is 21 $3. $3 $3 S1 13 i1 13 14 12 12 Table 1: Preferences and priorities 1. Calculate the assignment we obtain using the Immediate Acceptance algorithm. 2. is the matching efficient? 3. Compare the matching to the result of TTC (calculated in Assignment 4). Discuss (no mote than 2 sentences). 4. is the matching stable? (You may use results from Assignment 4) 5. Identify a possible deviation by a student with the Immediate Acceptance algorithm (or explain that there is no such deviation).