# How can all six cross the river?

+1 vote
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Three cops and three robbers need to cross a river.

Rules:
1) The raft can hold a maximum of two poeple, and everyone can row.
2) There can never be more robbers than cops together on the same side.

How can all six cross the river?

posted Jul 24, 2020

C = cop, R = robber
Starting with CCCRRR / __ / .
Set C + R on raft: CC_RR_ / CR / .
Let Robber at other side : CC_RR_ / C_ / R
Cop comes back, and takes another Robber : CC_R__ / CR / R
Cop stays, and robber returns : CC_R__ / R_ / RC
Set C + R on raft: C__R__ / RC / RC
Leave Cop at other side : C__R__ / R_ / RCC
Robber returns and takes cop: ___R__ / RC / RCC
Leave Robber : ___R__ / C_ / RCCR
Cop comes back and takes lats robber: ______ / CR / RCCR
Both get at other side: ______ / __ / RCCRCR

answer Aug 2, 2020 by anonymous

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