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insert 0 0 A 
>> Inserting city A (0,0)

debug 
>> 0,0,A|

insert 0 4096 A 
>> Inserting city A (0,4096)

debug 
>> 0,0,A0,4096,A|

insert 0 8192 A 
>> Inserting city A (0,8192)

debug 
>> 0,0,A0,4096,A0,8192,A|

insert 0 12288 A 
>> Inserting city A (0,12288)

debug 
>> I0,0,A0,4096,A|E0,8192,A0,12288,A|E

insert 4096 0 A 
>> Inserting city A (4096,0)

debug 
>> I0,0,A0,4096,A4096,0,A|E0,8192,A0,12288,A|E

insert 4096 4096 A 
>> Inserting city A (4096,4096)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|E0,8192,A0,12288,A|E

insert 4096 8192 A 
>> Inserting city A (4096,8192)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|E0,8192,A0,12288,A4096,8192,A|E

insert 4096 12288 A 
>> Inserting city A (4096,12288)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|EI0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|E

insert 8192 0 A 
>> Inserting city A (8192,0)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|8192,0,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|E

insert 8192 4096 A 
>> Inserting city A (8192,4096)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|8192,0,A8192,4096,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|E

insert 8192 8192 A 
>> Inserting city A (8192,8192)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|8192,0,A8192,4096,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|8192,8192,A|

insert 8192 12288 A 
>> Inserting city A (8192,12288)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|8192,0,A8192,4096,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|8192,8192,A8192,12288,A|

insert 12288 0 A 
>> Inserting city A (12288,0)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|8192,0,A8192,4096,A12288,0,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|8192,8192,A8192,12288,A|

insert 12288 4096 A 
>> Inserting city A (12288,4096)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|I8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|8192,8192,A8192,12288,A|

insert 12288 8192 A 
>> Inserting city A (12288,8192)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|I8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|8192,8192,A8192,12288,A12288,8192,A|

insert 12288 12288 A 
>> Inserting city A (12288,12288)

debug 
>> II0,0,A|4096,0,A|0,4096,A|4096,4096,A|I8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|I8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 0 0 
>> Removing city A (0,0)

debug 
>> I4096,0,A0,4096,A4096,4096,A|I8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|I8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 0 4096 
>> Removing city A (0,4096)

debug 
>> I4096,0,A4096,4096,A|I8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|I0,8192,A|4096,8192,A|0,12288,A|4096,12288,A|I8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 0 8192 
>> Removing city A (0,8192)

debug 
>> I4096,0,A4096,4096,A|I8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|4096,8192,A0,12288,A4096,12288,A|I8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 0 12288 
>> Removing city A (0,12288)

debug 
>> I4096,0,A4096,4096,A|I8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|4096,8192,A4096,12288,A|I8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 4096 0 
>> Removing city A (4096,0)

debug 
>> I4096,4096,A|I8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|4096,8192,A4096,12288,A|I8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 4096 4096 
>> Removing city A (4096,4096)

debug 
>> IEI8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|4096,8192,A4096,12288,A|I8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 4096 8192 
>> Removing city A (4096,8192)

debug 
>> IEI8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|4096,12288,A|I8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 4096 12288 
>> Removing city A (4096,12288)

debug 
>> IEI8192,0,A|12288,0,A|8192,4096,A|12288,4096,A|EI8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 8192 0 
>> Removing city A (8192,0)

debug 
>> IE12288,0,A8192,4096,A12288,4096,A|EI8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 8192 4096 
>> Removing city A (8192,4096)

debug 
>> IE12288,0,A12288,4096,A|EI8192,8192,A|12288,8192,A|8192,12288,A|12288,12288,A|

remove 8192 8192 
>> Removing city A (8192,8192)

debug 
>> IE12288,0,A12288,4096,A|E12288,8192,A8192,12288,A12288,12288,A|

remove 8192 12288 
>> Removing city A (8192,12288)

debug 
>> IE12288,0,A12288,4096,A|E12288,8192,A12288,12288,A|

remove 12288 0 
>> Removing city A (12288,0)

debug 
>> 12288,4096,A12288,8192,A12288,12288,A|

remove 12288 4096 
>> Removing city A (12288,4096)

debug 
>> 12288,8192,A12288,12288,A|

remove 12288 8192 
>> Removing city A (12288,8192)

debug 
>> 12288,12288,A|

remove 12288 12288 
>> Removing city A (12288,12288)

debug 
>> E