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Grandpa decides to take a multi-country tour visiting big cities

First he goes to LIBYA

Then to PERU

Then to BAHRAIN

Then to _______

Then to _______

Then to _______

Fill in the three blanks and tell me why

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I believe Grandpa's complete itinerary is:

LIBYA, PERU, BAHRAIN, MARSHALL ISLANDS, ITALY, MEXICO.

Explanation: As @El-Guest found, Grandpa is:

Visiting capital cities where the last two letters of one city are the first two letters of the next: Tripo[LI] - [LI][MA] -- [MA]na[MA] (the capitals of Libya, Peru and Bahrain respectively).

There are several possibilities for the 4th, 5th and 6th cities on the list if this is the only stipulation. However:

If - since there are specifically 6 cities on the list - Grandpa is visiting one city on each of the 6 civilised/inhabited continents then there is a unique solution...

Since Grandpa has already visited the 3 cities mentioned just now...

This removes all country/city combos in Africa (where Libya is), South America (Peru) and Asia (Bahrain). We now need to identify 3 cities where one each is from Europe, North America and Oceania.

There are only 3 such cities which fill the 4th slot on the list:

[MA]dr[ID] (Spain, Europe) - but no capitals begin with ID so this would end the chain;
[MA]nag[UA] (Nicaragua, North America) - but no capitals begin with UA so this does not work either;
[MA]ju[RO] (Marshall Islands, Oceania) - now we're getting somewhere...!

Following this, Grandpa can only go on to visit:

[RO][ME] in Italy (Europe) and then end his trip in the North American capital of [ME]xico City (in... er... Mexico!). The chain would also naturally end here regardless of the one-per-continent restriction since no capitals begin with TY, so it all fits rather snugly together!

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  • $\begingroup$ Great puzzle solving @Stiv $\endgroup$ – DEEM Aug 10 at 18:50
  • $\begingroup$ Thanks @DEEM :) $\endgroup$ – Stiv Aug 10 at 19:51
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    $\begingroup$ Stiv - it's wonderful to see the number of previously unsolved puzzles you have managed to complete. $\endgroup$ – Tom Aug 11 at 8:54
  • $\begingroup$ Thanks @Tom - I've made it a bit of a personal mission :) $\endgroup$ – Stiv Aug 11 at 9:31
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He can go to

MOZAMBIQUE, then CANADA, then JAPAN.

Note the large cities are

TripoLI, LIMA, MAnaMA, MApuTO, TOronTO, and TOkyo.

Note:

It doesn’t say capital cities so Toronto counts, it’s the capital of Ontario at any rate.

As M Oehm correctly notes, he could also go to

The Philippines, Nigeria, and Norway, because of MAniLA, LAgOS, and OSlo.

For only

capital cities, he can go to EQUATORIAL GUINEA, COLOMBIA, and UZBEKISTAN, because of MAlaBO, BOgoTA, and TAshkent.

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  • $\begingroup$ With the same reasoning, he could go to the Philippines, Nigeria and Norway. $\endgroup$ – M Oehm Oct 16 '18 at 19:28
  • $\begingroup$ I know, that’s probably a better answer but I don’t think it’s unique. $\endgroup$ – El-Guest Oct 16 '18 at 19:29
  • $\begingroup$ I don't claim it's better. It has the same qualification as yours. $\endgroup$ – M Oehm Oct 16 '18 at 19:30
  • $\begingroup$ Fair enough. I’ve got another try with all CCs, but one is not big. $\endgroup$ – El-Guest Oct 16 '18 at 19:35
  • $\begingroup$ @El-Guest You are missing a subtle clue in the countries $\endgroup$ – DEEM Oct 16 '18 at 19:36

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