0000001784 00000 n If the wolf and the goat are alone on one shore, the wolf will eat the goat. While the solution to this problem isn’t unique, it can’t be completed in fewer than nine river crossings. 0000007821 00000 n 0000006193 00000 n !�5�K¦N��zbVs>�.��Yt�0����=�H�k.����ҕ ��Jm�]���X���0�-��3�m1ۤ��ׅy�8��L{�mI1��G�UD��%�M�cj�����D�@[mq�clO�,��X�(��m���vA�%���f�-���@��7��|k�j��?ǹHyR��k�^�i���XuO�� 151 0 obj<>stream x�b```b``9�� 0000002530 00000 n 0000003689 00000 n startxref
endstream endobj 164 0 obj<>stream The missionaries and cannibals problem arose a thousand years after the jealous husbands problem, although its solution had actually appeared several hundred years before its formulation. 149 24 xref
endstream endobj 165 0 obj<>stream H��V�n�J��?p��dޏ��"nPt ����(�$V�H�d7m��rF����ڀ=�8��>]\��}�?_~Y��b}ˡ�F��X�+5������e��(
>��P����*��#N'�`�fA�.�Voo�f���v�]�q�i���n�O#�+������u�:�/�'x� /� ��Sr F�u��)�xrO�t�=�MG� #����C�,�G�mS��R��P^���?�p��;�EΨ�)*e�t!����nOK�QIJ\Zɤ1A���\Rz�)�8���Rkw�o�_X�L����9�����Ml�*�#��R���b�? There is a boat that can fit himself plus either the wolf, the goat, or the cabbage.
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@�ꘋ�V�H�,'�ߗ3�� endstream endobj 172 0 obj<>/W[1 1 1]/Type/XRef/Index[13 136]>>stream
0000000790 00000 n �D ���k'3�&Lp���]U/�[���%���RH��x�c0Q��r�L&H�9v2�W]�ԓ5tm�* �UYüz��eNږ/}�X� endstream endobj 163 0 obj<>stream The story. endstream endobj 162 0 obj<>stream If he takes the cabbage across second, he will need to return to get the wolf, resulting in the cabbage being eaten by the goat. The difficulty of the puzzle may arise from restrictions on which or how many items can be transported at the same time, or which or how many items may be safely left together. River Crossing Problems: Algebraic Approach ElenaA.Efimova1 Abstract We consider two river crossing problems, about jealous husbands and about missionaries and canni-bals. The first step that must be taken is to let the goat go across the river, as any other actions will result in the goat or the cabbage being eaten. It dates back to at least the 9th century, and has entered the folklore of a number of ethnic groups. 1) 33 trips Explanation: People in bold are the ones moving. 149 0 obj <> endobj |{Ed�[����B2]> >!7bT�!ġ�N1}.��W�S��U�0���r�p���n VZ8$��>Co}X[;���KƼ5��!8��V�d� When the farmer returns to the original side, he has the choice of taking either the wolf or the cabbage across next. P� ���H>���,��P��7}h����PN�3P��.�1L�eU���`� %%EOF 0000009350 00000 n The wolf, goat and cabbage problem is a river crossing puzzle. x�bbbc`b``Ń3�L�0 �=
0000005410 00000 n p#`֪��d�m]�⬻xҞ)9�#��]��sWM��=?��g��g�XmJ�������ȧ5��%_�7�Q��\�J1r��"S8�OrM����Pzr�p�M�2��%��FM����v}� ���[��r�F}7�j�U�E��l���dN����Q.XQ��E�8ǎMQ"g�M�E���Q@�U��32�nFgo�(�+�h���h^Zt�B�2 >�z��nLӂ��'X ����������1O�MEώ�b�!��>�8�5�N��fȫ,����C�ʛԯot�vY-\��ǡ#��͉N�#�u�>�vls�S�;�=7�9]FϞ0x8Iz�uU~.��:;�@�����Kh%,�������Py��B6��j9�A%�� �,�,��/���Hg�@.%�)�!ʲ� �t�O���S~��;��S��u�3φ�������i�ZF��d5�������` �^� In the earliest known occurrence of this problem, in the medieval manuscript The puzzle has been found in the folklore of African-Americans, Cameroon, the Cape Verde Islands, Denmark, Ethiopia, Ghana, Italy, Romania, Russia, Scotland, the Sudan, Uganda, Zambia, and Zimbabwe.Variations of the puzzle also appear in the adventure game In some parts of Africa, variations on the puzzle have been found in which the boat can carry two objects instead of only one. In class, we recommend using colored cubes to represent the children and adults. 0000003766 00000 n 0000012815 00000 n The earliest known river-crossing problems occur in the manuscript Propositiones ad Acuendos Juvenes(English: Pr… 0000013078 00000 n 0000000016 00000 n &����(���1�a��t� ����D���Q$�D���A��G(�G4�6�ρ]L�'j��>�s�~���%�f�_��Hs008�d �����,]!|��� G�
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When the puzzle is weakened in this way it is possible to introduce the extra constraint that no two items, including
T�\�P�U���}�Ƕh�*ð`����������[� WW70��&Ue�@�81�_���|y�ڨ�!��'g�p~^������ The farmer's challenge was to carry himself and his purchases to the far bank of the river, leaving each purchase intact.
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