Os links para os exerc\303\255cios WIMS referem-se a uma compila\303\247\303\243o de exerc\303\255cios no site WIMS, desenvolvido por XIAO Gang da Universidade de Nice.
Consideramos uma parti\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn na su\303\255te 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 de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn partes de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNi0tSSVtc3ViR0YkNiUtSSNtaUdGJDYmUSJuRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KC1JI21uR0YkNiVRIjFGJ0Y6L0Y+USdub3JtYWxGJ0Y3LyUrZm9yZWdyb3VuZEdRLFsyMDAsMCwyMDBdRidGOi8lLHBsYWNlaG9sZGVyR0Y5Rj0vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y6RkYvJSZmZW5jZUdGPC8lKnNlcGFyYXRvckdGPC8lKXN0cmV0Y2h5R0Y8LyUqc3ltbWV0cmljR0Y8LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjwvJSdhY2NlbnRHRjwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zeby1GUTYuUSIsRidGOkZGRlQvRldGOUZYRlpGZm5GaG5Gam5GXG8vRmBvUSwwLjMzMzMzMzNlbUYnRlAtRlE2LlEoJmN0ZG90O0YnRjpGRkZURlZGWEZaRmZuRmhuRmpuRlxvRl9vRlBGYW9GUC1GMTYlRjMtRiM2KC1GNDYmUSJwRidGN0Y6Rj1GN0ZIRjpGS0Y9Rk1GOkZGRjpGRkY6RkY= elementos. Dizemos que uma permuta\303\247\303\243o mant\303\251m a parti\303\247\303\243o se 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 para tudo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Exemplos</Font></Text-field>JSFHN\303\263s consideramos 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 e a pontua\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYvLUkobWZlbmNlZEdGJDYpLUYjNistSSVtc3ViR0YkNiUtSSNtaUdGJDYoUSJhRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSNtbkdGJDYnUSIxRidGN0Y9RkAvRkRRJ25vcm1hbEYnRjdGPUZARkwvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNjBRIn5GJ0Y3Rj1GQEZMLyUmZmVuY2VHRkIvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGX28tRlI2MFEiLEYnRjdGPUZARkxGVS9GWEY8RllGZW5GZ25GaW5GW29GXW8vRmFvUSwwLjMzMzMzMzNlbUYnRlEtRjE2JUYzLUYjNictRkk2J1EiMkYnRjdGPUZARkxGN0Y9RkBGTEZORjdGPUZARkxGN0Y9RkBGTC8lJW9wZW5HUSJ8ZnJGJy8lJmNsb3NlR1EifGhyRidGUUZib0ZRLUYsNiktRiM2Ky1GMTYlLUY0NihRImJGJ0Y3RjpGPUZARkNGRkZORlFGYm9GUS1GMTYlRltxRmpvRk5GN0Y9RkBGTEY3Rj1GQEZMRl9wRmJwRlFGYm9GUS1GLDYpLUYjNictRjQ2KFEiY0YnRjdGOkY9RkBGQ0Y3Rj1GQEZMRjdGPUZARkxGX3BGYnBGN0Y9RkBGTA== : vamos codificar 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lorsque c'est possible sans ambigu\303\257t\303\251.Les permutations LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUkjbW5HRiQ2J1EiNUYnRjJGOEY7L0Y/USdub3JtYWxGJ0YyRjVGOEY7LyUscGxhY2Vob2xkZXJHRjdGPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjJGOEY7Rkc= qui conservent
Consideramos uma parti\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn na su\303\255te 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 de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn partes de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNi0tSSVtc3ViR0YkNiUtSSNtaUdGJDYmUSJuRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KC1JI21uR0YkNiVRIjFGJ0Y6L0Y+USdub3JtYWxGJ0Y3LyUrZm9yZWdyb3VuZEdRLFsyMDAsMCwyMDBdRidGOi8lLHBsYWNlaG9sZGVyR0Y5Rj0vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y6RkYvJSZmZW5jZUdGPC8lKnNlcGFyYXRvckdGPC8lKXN0cmV0Y2h5R0Y8LyUqc3ltbWV0cmljR0Y8LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjwvJSdhY2NlbnRHRjwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zeby1GUTYuUSIsRidGOkZGRlQvRldGOUZYRlpGZm5GaG5Gam5GXG8vRmBvUSwwLjMzMzMzMzNlbUYnRlAtRlE2LlEoJmN0ZG90O0YnRjpGRkZURlZGWEZaRmZuRmhuRmpuRlxvRl9vRlBGYW9GUC1GMTYlRjMtRiM2KC1GNDYmUSJwRidGN0Y6Rj1GN0ZIRjpGS0Y9Rk1GOkZGRjpGRkY6RkY= elementos. Dizemos que uma permuta\303\247\303\243o mant\303\251m a parti\303\247\303\243o se 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 para tudo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Exemplos</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=N\303\263s consideramos 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 e a pontua\303\247\303\243o 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 : vamos codificar 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sempre que poss\303\255vel sem ambiguidade.As permuta\303\247\303\265es LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUkjbW5HRiQ2J1EiNUYnRjJGOEY7L0Y/USdub3JtYWxGJ0YyRjVGOEY7LyUscGxhY2Vob2xkZXJHRjdGPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjJGOEY7Rkc= quem mant\303\251m esta parti\303\247\303\243o s\303\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 .Para cont\303\241-los, usamos a regra do produto: 2! escolha para restri\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= \303\240 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 , ent\303\243o 2! escolha para restri\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= \303\240 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 , e finalmente 1! escolha para restri\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= \303\240 LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXJvd0dGJDYnLUkjbWlHRiQ2KFEiY0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YyRjhGOy9GP1Enbm9ybWFsRidGMkY4RjtGQS8lJW9wZW5HUSJ8ZnJGJy8lJmNsb3NlR1EifGhyRic= : Ent\303\243o a\303\255 est\303\241 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 permuta\303\247\303\265es que mant\303\252m a parti\303\247\303\243o.O n\303\272mero de permuta\303\247\303\265es que mant\303\252m essa parti\303\247\303\243o \303\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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>Anagramas que n\303\243o mudam uma palavra com letras repetidas.Matematicamente, esse anagrama \303\251 uma permuta\303\247\303\243o que preserva a parti\303\247\303\243o da palavra em letras id\303\252nticas: pois essa diferencia artificialmente essas letras.Por exemplo, a palavra aabbc ser\303\241 reescrito LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiYUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUkjbW5HRiQ2J1EiMUYnRjJGOEY7L0Y/USdub3JtYWxGJ0YyRjhGO0ZHLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRiw2JUYuLUYjNictRkQ2J1EiMkYnRjJGOEY7RkdGMkY4RjtGR0ZJLUYsNiUtRi82KFEiYkYnRjJGNUY4RjtGPkZBRkktRiw2JUZVRk5GSS1GLzYoUSJjRidGMkY1RjhGO0Y+RjJGOEY7Rkc= e anagramas que devolvem aabbc s\303\243o as permuta\303\247\303\265es que mant\303\252m a parti\303\247\303\243o 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 .
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza a \303\241rvore de permuta\303\247\303\243o de </Font><Equation executable="false" style="Heading 4" input-equation="" display="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">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</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">quem mant\303\251m a pontua\303\247\303\243o </Font><Equation executable="false" style="Heading 4" input-equation="" display="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">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</Equation></Text-field>Editar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRLlsxMDIsMTAyLDE1M11GJy8lK2V4ZWN1dGFibGVHRjcvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNigtRi82KFEibkYnRjJGNUY4RjtGPUYyRjhGOy8lLHBsYWNlaG9sZGVyR1EldHJ1ZUYnRj0vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjhGO0Y9 e a pontua\303\247\303\243o 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Em seguida, clique no bot\303\243o para inicializar o gr\303\241fico.NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
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use DocumentTools in
o0 := [0,0]:
C0 := mpermC: G0 := mpermG:
B0 := C0[1]: UU := C0[2]:
r0 := rand(1..nops(UU)):
V0 := [UU[r0()][1]]:
c0 := 1:
Do(%mpermPLS2 = HighLight(G0,V0,B0,o0,HL[c0],OPT)):
end use;
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Ig==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=use DocumentTools in
TITRE := MULTIPERM_P:
T0 := "i":
PAR := MULTIPERM_E[T0]:
mot := parse(GetProperty(mpermTAR3,'value')):
mot := PseudoList2List(mot):
part := parse(GetProperty(mpermTAR4,'value')):
part := map(PseudoList2List,part):
n0 := nops(mot):
p0 := nops(part):
U0 := [mot,part]:
E0 := PAR[4]:
PAR := [n0,p0,U0,E0]:
FILM := TITRE(PAR,T0):
mpermG := FILM["g"]:
mpermC := FILM["c"]:
Do(%mpermPLS2 = mpermG):
end use;
<Text-field bookmark="co12" style="Heading 2" size="10" layout="Heading 2"><Font size="14" encoding="UTF-8">1.2. Parti\303\247\303\243o de um n\303\272mero inteiro</Font></Text-field>
Uma pontua\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn em suite 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 de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn partes de 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 elementos \303\251 chamado parti\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLFsyNTUsMTAyLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjVGOA== em 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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Exemplos</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=N\303\263s temos 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. As pontua\303\247\303\265es de 5 em (2,2,1) s\303\243o as su\303\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 , 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 , \342\213\257JSFHPara cont\303\241-los, come\303\247amos escolhendo os 2 elementos da primeira parte entre os 5 elementos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUkjbW5HRiQ2J1EiNUYnRjJGOEY7L0Y/USdub3JtYWxGJ0YyRjVGOEY7LyUscGxhY2Vob2xkZXJHRjdGPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjJGOEY7Rkc= , ent\303\243o os 2 elementos da segunda parte entre os 3 elementos restantes de LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2Jy1JI21uR0YkNidRIjVGJ0YvRjVGOC9GPFEnbm9ybWFsRidGL0Y1RjhGRS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn , ent\303\243o o \303\272nico elemento da terceira parte entre o \303\272nico elemento restante de LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2Jy1JI21uR0YkNidRIjVGJ0YvRjVGOC9GPFEnbm9ybWFsRidGL0Y1RjhGRS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn : il y ent\303\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escolhas poss\303\255veis.O n\303\272mero de parti\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn em 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,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 .1. 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 .2. F\303\263rmula multinomial :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 .Esta f\303\263rmula diz que o coeficiente do multinom 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 \303\251 o coeficiente multinomial 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 quando desenvolvemos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JkYrLUklbXN1cEdGJDYlLUkobWZlbmNlZEdGJDYmLUYjNistSSVtc3ViR0YkNiUtRiw2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtSSNtbkdGJDYlUSIxRidGQi9GRlEnbm9ybWFsRidGQkZOLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYuUSIrRidGQkZOLyUmZmVuY2VHRkQvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGYW8tRlQ2LlEifkYnRkJGTkZXRllGZW5GZ25GaW5GW29GXW8vRmBvUSYwLjBlbUYnL0Zjb0Zoby1GVDYuUSgmY3Rkb3Q7RidGQkZORldGWUZlbkZnbkZpbkZbb0Zdb0Znb0Zpb0Zkb0ZTLUY6NiVGPC1GIzYlLUYsNiZRInBGJ0Y/RkJGRUZCRk5GUEZCRk4vJSVzaXplR1EjMTBGJ0ZCRk4tRiM2JS1GLDYmUSJuRidGP0ZCRkVGQkZOLyUxc3VwZXJzY3JpcHRzaGlmdEdGUkZCRk5GK0ZCRk4= . 3. A soma dos coeficientes multinomiais \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic= .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>1. Anagramas discern\303\255veis de uma palavra de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEibkYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= lser (discern\303\255vel ou n\303\243o).Matematicamente, os anagramas da palavra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEmYWFiYmNGJy8lJXNpemVHUSMxMEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0Y1RjgvRjxRJ25vcm1hbEYn s\303\243o as pontua\303\247\303\265es de 5 em (2,2,1) . Em termos pr\303\241ticos, contaremos da seguinte maneira: primeiro escolhemos o local das 2 letras a entre os 5 locais poss\303\255veis, depois o local das 2 letras b entre os 3 locais restantes, finalmente o local da letra c, que \303\251 realmente imposta: existe, portanto, 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 anagramas discern\303\255veis.
Nesta interpreta\303\247\303\243o, a palavra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEmYWFiYmNGJy8lJXNpemVHUSMxMEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0Y1RjgvRjxRJ25vcm1hbEYn em si \303\251 considerado a permuta\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEmYWFiYmNGJy8lJXNpemVHUSMxMEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0Y1RjgvRjxRJ25vcm1hbEYn . 2. Distribui\303\247\303\243o de n pessoas discern\303\255veis em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEicEYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= grupos discern\303\255veis de funcion\303\241rios 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 .Matematicamente, as distribui\303\247\303\265es desse tipo s\303\243o as parti\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYnLUYjNi8tSSVtc3ViR0YkNiUtSSNtaUdGJDYoUSJuRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSNtbkdGJDYnUSIxRidGN0Y9RkAvRkRRJ25vcm1hbEYnRjdGPUZARkwvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNjBRIn5GJ0Y3Rj1GQEZMLyUmZmVuY2VHRkIvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGX28tRlI2MFEiLEYnRjdGPUZARkxGVS9GWEY8RllGZW5GZ25GaW5GW29GXW8vRmFvUSwwLjMzMzMzMzNlbUYnRlEtRlI2MFEoJmN0ZG90O0YnRjdGPUZARkxGVUZXRllGZW5GZ25GaW5GW29GXW9GYG9GUUZib0ZRLUYxNiVGMy1GIzYnLUY0NihRInBGJ0Y3RjpGPUZARkNGN0Y9RkBGTEZORjdGPUZARkxGN0Y9RkBGTEY3Rj1GQEZM.Por exemplo, as distribui\303\247\303\265es de 3 pessoas a,b,c em 2 grupos de funcion\303\241rios 2.1 s\303\243o as parti\303\247\303\265es de 3 em(2,1) :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 .H\303\241 alguns 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 .
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualize as pontua\303\247\303\265es de </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYlLUkjbWlHRiQ2KlEiRUYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lKnVuZGVybGluZUdGNy8lK2ZvcmVncm91bmRHUS5bMTAyLDEwMiwxNTNdRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkItRiM2Ky1GLzYqUSJuRidGMkY1RjhGO0Y9RkBGQy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRjJGNUY7Rj0vJSxwbGFjZWhvbGRlckdGNy9GQVEsYm9sZC1pdGFsaWNGJ0ZDLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGSkYyRjVGOEY7Rj1GQEZD">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYlLUkjbWlHRiQ2KlEiRUYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lKnVuZGVybGluZUdGNy8lK2ZvcmVncm91bmRHUS5bMTAyLDEwMiwxNTNdRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkItRiM2Ky1GLzYqUSJuRidGMkY1RjhGO0Y9RkBGQy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRjJGNUY7Rj0vJSxwbGFjZWhvbGRlckdGNy9GQVEsYm9sZC1pdGFsaWNGJ0ZDLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGSkYyRjVGOEY7Rj1GQEZD</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> em </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>Mude o valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== e a suite 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 se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).Em seguida, escolha o caso apropriado clicando no bot\303\243o de op\303\247\303\243o ad-hoc.NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
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N\303\263s temos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictRi82KFEibkYnRjJGNUY4RjtGPkYyRjhGOy9GP1Enbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJy1JI21vR0YkNjBRIj1GJ0YyRjhGO0ZGLyUmZmVuY2VHRj0vJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGXG8tSShtZmVuY2VkR0YkNiktRiM2Mi1GLzYoUSJhRidGMkY1RjhGO0Y+LUZPNjBRIn5GJ0YyRjhGO0ZGRlJGVEZWRlhGWkZmbkZobi9GW29RJjAuMGVtRicvRl5vRltwLUZPNjBRIixGJ0YyRjhGO0ZGRlIvRlVGN0ZWRlhGWkZmbkZobkZqby9GXm9RLDAuMzMzMzMzM2VtRidGZ28tRi82KFEiYkYnRjJGNUY4RjtGPkZnb0ZdcEZnby1GTzYwUSgmY3Rkb3Q7RidGMkY4RjtGRkZSRlRGVkZYRlpGZm5GaG5Gam9GXHBGMkY1RjhGOy8lLHBsYWNlaG9sZGVyR0Y3LyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Y3Rj5GMkY4RjtGRi8lJW9wZW5HUSkmbGJyYWNlO0YnLyUmY2xvc2VHUSkmcmJyYWNlO0YnRjJGOEY7RkY=use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
boo1 := GetProperty(mcombRAB4,'value'):
boo2 := GetProperty(mcombRAB5,'value'):
if parse(boo1) then G0 := mcombG1: C0 := mcombC1:
else if parse(boo2) then G0 := mcombG2: C0 := mcombC2:
end if end if:
B0 := C0[1]: UU := C0[2]:
r0 := rand(1..nops(UU)):
V0 := [UU[r0()][1]]:
c0 := 1:
Do(%mcombPLS2 = HighLight(G0,V0,B0,o0,HL[c0],OPT)):
end use;
use DocumentTools in
end use;
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Ig==JSFHJSFHuse DocumentTools in
Do(%mcombPLS2 = EP2D):
mcombC1 := []:
mcombC2 := []:
end use;LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=use DocumentTools in
TITRE := MULTICOMB1_P:
T0 := "i":
PAR := MULTICOMB1_E[T0]:
n0 := parse(GetProperty(mcombTAR3,'value')):
pp := parse(GetProperty(mcombTAR4,'value')):
p0 := nops(pp):
ee := {seq(convert(StringTools[Char](96+k),name),k=1..n0)}:
ee := {seq(convert(StringTools[Char](106+k),name),k=1..n0)}:
U0 := [ee,pp]:
E0 := PAR[4]:
PAR := [n0,p0,U0,E0]:
FILM := TITRE(PAR,T0):
mcombG1 := FILM["g"]:
mcombC1 := FILM["c"]:
Do(%mcombPLS2 = mcombG1):
end use;
Por escolhas sucessivas.use DocumentTools in
TITRE := MULTICOMB2_P:
T0 := "i":
PAR := MULTICOMB2_E[T0]:
n0 := parse(GetProperty(mcombTAR3,'value')):
pp := parse(GetProperty(mcombTAR4,'value')):
p0 := nops(pp):
ee := {seq(convert(StringTools[Char](96+k),name),k=1..n0)}:
U0 := [ee,pp]:
E0 := PAR[4]:
PAR := [n0,p0,U0,E0]:
FILM := TITRE(PAR,T0):
mcombG2 := FILM["g"]:
mcombC2 := FILM["c"]:
Do(%mcombPLS2 = mcombG2):
end use; Por permuta\303\247\303\265es.
<Text-field bookmark="co13" style="Heading 2" size="10" layout="Heading 2"><Font size="14" encoding="UTF-8">1.3. Decomposi\303\247\303\243o de um n\303\272mero inteiro</Font></Text-field>
Uma su\303\255te 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 n\303\272meros inteiros positivos ou nulos que satisfazem o relacionamento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkrbXVuZGVyb3ZlckdGJDYnLUkjbW9HRiQ2LVEmJlN1bTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJnVuc2V0RicvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjwvJS5tb3ZhYmxlbGltaXRzR0Y8LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2Ji1JI21pR0YkNiVRImtGJy8lJ2l0YWxpY0dGPC9GM1EnaXRhbGljRictRi82LVEiPUYnRjIvRjZRJmZhbHNlRicvRjlGWS9GO0ZZL0Y+RlkvRkBGWS9GQkZZL0ZERlkvRkZRLDAuMjc3Nzc3OGVtRicvRklGW28tSSNtbkdGJDYkUSIxRidGMkYyLUYjNictRk42JVEibkYnRlFGU0ZRLyUrZm9yZWdyb3VuZEdRLFsyMDAsMCwyMDBdRicvJSxwbGFjZWhvbGRlckdGPEZTRmluLyUsYWNjZW50dW5kZXJHRlktRi82LVEifkYnRjJGWEZaRmVuRmZuRmduRmhuRmluRkUvRklGRy1JJW1zdWJHRiQ2JS1GTjYlUSJwRidGUUZTLUYjNidGTUZRRmZvRmlvRlMvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0ZdcEZdcEZVRl1wRmRwRjI= \303\251 chamado decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLFsyNTUsMTAyLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjVGOA== em 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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Exemplos</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=As decomposi\303\247\303\265es de 3 em 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 s\303\243o as su\303\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 .Vamos codific\303\241-los\303\227|\303\227|\303\227| , \303\227|\303\227| |\303\227 , \303\227\303\227|\303\227|| ,onde os 3 bares | delimite os 4 n\303\272meros inteiros e o n\303\272mero de cruzamentos entre duas barras representa o n\303\272mero inteiro em quest\303\243o: existem, portanto, 3 cruzamentos, ou seja, em todos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW5HRiQ2J1EiM0YnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNjBRIitGJ0YvRjJGNUY4LyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGT0YrRi9GMkY1Rjg= s\303\255mbolos. Esses 6 s\303\255mbolos est\303\243o espalhados por 6 locais \342\210\222 \342\210\222 \342\210\222 \342\210\222 \342\210\222 \342\210\222 e cada reparti\303\247\303\243o corresponde \303\240 escolha das 3 barras | (ou 3 cruzamentos \303\227) entre os 6 arremessos: existem 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 .Le nombre de d\303\251compositions de 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Desenhar 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 de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEicEYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= elementos entre LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEibkYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= elementos discern\303\255veis.Matematicamente, essa impress\303\243o \303\251 uma decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em 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 : scontar\303\241 o n\303\272mero de vezes que cada um LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= elementos \303\251 desenhado.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=2. Jogue sem ordem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEicEYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= tempos de dados para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEibkYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= rostos discern\303\255veis.Matematicamente, esse arremesso \303\251 uma decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em 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 : sele conta o n\303\272mero de vezes que cada LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= rostos aparece.3. Distribui\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEicEYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= bolas indistingu\303\255veis em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEibkYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= urnas discern\303\255veis .Matematicamente, essa distribui\303\247\303\243o \303\251 uma decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em 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 : conta apenas o n\303\272mero de bolas em cada uma LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= urnas.
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza a decomposi\303\247\303\243o de </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEicEYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRi8vJSdpdGFsaWNHUSZmYWxzZUYnRjIvRjZRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEicEYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRi8vJSdpdGFsaWNHUSZmYWxzZUYnRjIvRjZRJ25vcm1hbEYn</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> em </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>Mude os valores de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).Em seguida, clique no bot\303\243o para inicializar o gr\303\241fico.NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
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use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
G0 := mdecG: C0 := mdecC:
B0 := C0[1]: UU := C0[2]:
r0 := rand(1..nops(UU)):
V0 := [UU[r0()][1]]:
c0 := 1:
Do(%mdecPLS2 = HighLight(G0,V0,B0,o0,HL[c0],OPT)):
end use;
use DocumentTools in
end use;
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Ig==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHuse DocumentTools in
TITRE := MULTIDEC_P:
T0 := "i":
PAR := MULTIDEC_E[T0]:
p0 := parse(GetProperty(mdecTAR3,'value')):
n0 := parse(GetProperty(mdecTAR4,'value')):
U0 := PAR[3]:
E0 := PAR[4]:
PAR := [p0,n0,U0,E0]:
FILM := TITRE(PAR,T0):
mdecG := FILM["g"]:
mdecC := FILM["c"]:
Do(%mdecPLS2 = mdecG):
end use;
<Text-field bookmark="co2" style="Heading 2" layout="Heading 2">2. Outros problemas</Text-field><Text-field bookmark="co21" style="Heading 2" size="10" layout="Heading 2"><Font size="14">2.1. Caminho em uma rede</Font></Text-field>
1. Um longo caminho LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLFsyNTUsMTAyLDBdRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEifkYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRk9GL0YyLyUrZXhlY3V0YWJsZUdGQEY1na rede \342\204\225\303\227\342\204\225 \303\251 uma sequela com repeti\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn segmentos de unidade LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiaUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5LUkjbW9HRiQ2LlEiPUYnRjUvRjhRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUi1JKG1mZW5jZWRHRiQ2JS1GIzYnLUkjbW5HRiQ2JVEiMUYnRjVGQC1GPTYuUSIsRidGNUZARkIvRkVGMUZGRkhGSkZMRk4vRlFRJjAuMGVtRicvRlRRLDAuMzMzMzMzM2VtRictRmVuNiVRIjBGJ0Y1RkBGNUZARjVGQEY1RkA= ou 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. 2. Um caminho que leva do ponto (0, 0) ao ponto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNictSSNtaUdGJDYmUSJwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSIsRidGNy9GO1Enbm9ybWFsRicvJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYmUSJxRidGNEY3RjpGN0ZBRjdGQUY3RkE= comporta-se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn segmentos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiaUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5RjUvRjhRJ25vcm1hbEYn e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn segmentos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiakYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5RjUvRjhRJ25vcm1hbEYn .O n\303\272mero de caminhos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNictSSNtbkdGJDYlUSIwRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSIsRidGNEY3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY0RjdGNEY3RjRGNw== \303\240 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNictSSNtaUdGJDYmUSJwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSIsRidGNy9GO1Enbm9ybWFsRicvJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYmUSJxRidGNEY3RjpGN0ZBRjdGQUY3RkE= \303\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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Exemplos</Font></Text-field>1. Um caminho de 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 e comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= termina em um 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 da direita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIitGJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZULUYsNihRInFGJ0YvRjJGNUY4RjstRj82MFEiPUYnRi9GNUY4RkJGREZGRkhGSkZMRk5GUC9GU1EsMC4yNzc3Nzc4ZW1GJy9GVkZobi1GLDYoUSJuRidGL0YyRjVGOEY7Ri9GNUY4RkI= : il y alguns 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 .2.Um caminho de 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 \303\240 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 \303\251 equivalente a uma decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em 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 :h\303\241 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 .3. \303\211 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj5GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNihRInBGJ0YvRjJGNUY4RjtGL0Y1RjhGQg==.(i) Princ\303\255pio da reflex\303\243o.Existem tantos caminhos 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 \303\240 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 tocando ou cruzando a direita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNihRInBGJ0YvRjJGNUY4RjtGL0Y1RjhGQg== que muitos caminhos 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 \303\240 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 : ent\303\243o existem alguns 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 .(ii) Os caminhos de 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 \303\240 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYnLUYjNiktSSNtaUdGJDYoUSJwRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2MFEiLEYnRjRGOkY9L0ZBUSdub3JtYWxGJy8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYxNihRInFGJ0Y0RjdGOkY9RkBGNEY6Rj1GR0Y0RjpGPUZHRjRGOkY9Rkc= que constantemente ficam estritamente acima da direita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNihRInBGJ0YvRjJGNUY4RjtGL0Y1RjhGQg== necessariamente passar 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 : estes s\303\243o os caminhos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYmLUYjNictSSNtbkdGJDYmUSIwRicvJSVzaXplR1EjMTBGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi9RIixGJ0Y0RjdGOi8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYxNiZRIjFGJ0Y0RjdGOkY3RjpGNEY3RjpGN0Y6 \303\240 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 que n\303\243o tocam ou cruzam a direita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSI9RidGL0Y1L0Y5USdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlEtRiw2J1EicEYnRi9GMkY1RjhGNUY/ , ent\303\243o existem 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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>Jogos de azar.Em um jogo cara ou coroa, voc\303\252 ganha 1 euro se tiver cara e perde 1 euro se tiver cara: um jogo consiste em jogar n vezes seguidas.1. O n\303\272mero de jogos em que terminamos com uma vit\303\263ria LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KFEiZ0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj5GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2J1EiMEYnRi9GNUY4RkJGNUY4RkI= \303\251 aquele em que ganhamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y1RjgvRjxRJ25vcm1hbEYn euro e perdido LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y1RjgvRjxRJ25vcm1hbEYn euro, com 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 et 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 .2. O n\303\272mero de jogos em que os ganhos excedem estritamente as perdas em cada lance \303\251 igual ao n\303\272mero de 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 \303\240 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 que constantemente ficam estritamente acima da direita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNihRInBGJ0YvRjJGNUY4RjtGL0Y1RjhGQg== .
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza os caminhos de comprimento </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSdpdGFsaWNHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSdpdGFsaWNHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> em uma rede 2D</Font></Text-field>Mude o valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).
Em seguida, escolha o caso apropriado clicando no bot\303\243o de op\303\247\303\243o ad-hoc.NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
OPT1 := copy(OPT): OPT1["ij"] := [1,1]: OPT1["mo"] := "P":
boo1 := GetProperty(pathRAB4,'value'):
boo2 := GetProperty(pathRAB5,'value'):
if parse(boo1) then G0 := pathGi: C0 := pathCi:
else if parse(boo2) then G0 := pathGii: C0 := pathCii:
end if end if:
B0 := C0[1]: UU := C0[2]: EE := C0[3]:
if parse(boo1) then u0 := nops(UU): c0 := 1: AA := UU:
else if parse(boo2) then u0 := nops(EE): c0 := 2: AA := EE:
end if end if:
r0 := rand(1..u0):
V0 := [AA[r0()][1]]:
Do(%pathPLS2 = HighLight(G0,V0,B0,o0,HL[c0],OPT1)):
end use;
use DocumentTools in
end use;
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Ig==JSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=use DocumentTools in
Do(%pathPLS2 = EP2D):
pathCi := []:
pathCii := []:
end use;
use DocumentTools in
TITRE := PATH_P:
T0 := "i":
PAR := PATH_E[T0]:
n0 := parse(GetProperty(pathTAR3,'value')):
U0 := PAR[2]:
E0 := PAR[3]:
PAR := [n0,U0,E0]:
FILM := TITRE(PAR,T0):
pathGi := FILM["g"]:
pathCi := FILM["c"]:
Do(%pathPLS2 = pathGi):
end use;
Todos os caminhos de comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw==.use DocumentTools in
TITRE := PATH_P:
T0 := "ii":
PAR := PATH_E[T0]:
n0 := parse(GetProperty(pathTAR3,'value')):
evd := [parse(GetProperty(pathTAR4,'value'))]:
evr := PAR[3][2]:
U0 := PAR[2]:
E0 := [evd,evr]:
PAR := [n0,U0,E0]:
FILM := TITRE(PAR,T0):
pathGii := FILM["g"]:
pathCii := FILM["c"]:
Do(%pathPLS2 = pathGii):
end use;
Os caminhos de comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjVGOC9GPFEnbm9ybWFsRic= e passando por .
Uma part\303\255cula come\303\247a em 0 e caminha sobre \342\204\244 por saltos sucessivos de um ponto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn para um de seus vizinhosLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlElJnBtO0YnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGTi1JI21uR0YkNiVRIjFGJ0YyRjxGMkY8 : cada salto \303\251 codificado LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlElJnBtO0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRS1JI21uR0YkNiVRIjFGJ0YvRjJGL0Yy.
Uma longa caminhada LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLFsyNTUsMTAyLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjVGOA== certo \342\204\244 \303\251 uma sequela com repeti\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn entre 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 : para uma sequela 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a soma 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 d\303\241 a posi\303\247\303\243o da part\303\255cula.O n\303\272mero de passeios \342\204\244 comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JVEiMkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnRi8vRjNRJ2l0YWxpY0YnRi9GMg== e verificando 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 \303\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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Observa\303\247\303\265es</Font></Text-field>Uma caminhada \342\204\244 \303\251 equivalente a um caminho \342\204\225\303\227\342\204\225 codificando -1 por ie +1 por j : por exemplo, uma caminhada de comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW5HRiQ2J1EiMkYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNjBRIn5GJ0YvRjJGNUY4LyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTy1JI21pR0YkNihRIm5GJ0YvLyUnaXRhbGljR1EldHJ1ZUYnRjJGNS9GOVEnaXRhbGljRidGL0YyRjVGOA== tal como LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiU0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYsLUkjbW9HRiQ2MFEifkYnRjJGOEY7L0Y/USdub3JtYWxGJy8lJmZlbmNlR0Y9LyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlktSSNtbkdGJDYnUSIyRidGMkY4RjtGR0ZDLUYvNihRIm5GJ0YyRjVGOEY7Rj5GMkY1RjhGOy8lLHBsYWNlaG9sZGVyR0Y3Rj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GRDYwUSI9RidGMkY4RjtGR0ZJRktGTUZPRlFGU0ZVL0ZYUSwwLjI3Nzc3NzhlbUYnL0ZlbkZmby1GZ242J0Zhb0YyRjhGO0ZHRjJGOEY7Rkc= \303\251 equivalente a um caminho de 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 \303\240 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYnLUYjNiktSSNtaUdGJDYoUSJuRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2MFEiLEYnRjRGOkY9L0ZBUSdub3JtYWxGJy8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnRjBGNEY6Rj1GR0Y0RjpGPUZHRjRGOkY9Rkc=.<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>Dinheiro de jogo.Num jogo cara ou coroa, ganhamos 1 euro se tivermos cara e perdemos 1 euro se tivermos cara: uma parte consiste em jogar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2J1EiMkYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21pR0YkNihRIm5GJ0YvLyUnaXRhbGljR1EldHJ1ZUYnRjJGNS9GOVEnaXRhbGljRidGL0YyRjVGOA== vezes seguidas.O n\303\272mero de jogos em que terminamos com ganho zero \303\251 igual ao n\303\272mero de caminhadas em \342\204\244 que terminam em 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 .
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza caminhadas </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSdpdGFsaWNHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSdpdGFsaWNHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation></Text-field>Mude o valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).
Em seguida, clique no bot\303\243o para inicializar o gr\303\241fico.NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
OPT1 := copy(OPT): OPT1["ij"] := [1,1]: OPT1["mo"] := "P":
C0 := walkC: G0 := walkG:
B0 := C0[1]: UU := C0[2]: EE := C0[3]:
r0 := rand(1..nops(UU)): v0 := UU[r0()][1]: c0 := 1:
Do(%walkPLS2 = EventWalk(G0,v0,B0,o0,HL[c0],OPT1)):
end use;
use DocumentTools in
end use;
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Ig==JSFHJSFHJSFHJSFHJSFHJSFHJSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHJSFHJSFHJSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHuse DocumentTools in
OPT1 := copy(OPT): OPT1["ij"] := [1,1]: OPT1["mo"] := "P":
T0 := "i":
TITRE := WALK_P:
PAR := WALK_E[T0]:
FILM := TITRE(PAR,T0):
walkC := FILM["c"]: walkG := FILM["g"]:
Do(%walkPLS2 = walkG):
end use;
<Text-field bookmark="co23" style="Heading 2" size="10" layout="Heading 2"><Font size="14" encoding="UTF-8">2.3. Permuta\303\247\303\243o e pontos fixos</Font></Text-field>
Uma permuta\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn admite LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiaUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn como um ponto fixo se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEiaUYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQC1JI21vR0YkNi5RIj1GJ0YyRkAvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZWRj1GMkZA .1.O n\303\272mero de permuta\303\247\303\265es sem um ponto fixo de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn \303\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 .2. O n\303\272mero de permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn tendo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn pontos exatamente fixos \303\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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Evid\303\252ncia</Font></Text-field>1. Usamos uma f\303\263rmula no cardeal de uma reuni\303\243o: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 .Se denotarmos por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiQUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUYvNihRInBGJ0YyRjVGOEY7Rj5GMkY1RjhGOy8lLHBsYWNlaG9sZGVyR0Y3Rj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjhGOy9GP1Enbm9ybWFsRic= o conjunto de permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUYvNihRIm5GJ0YyRjVGOEY7Rj5GMkY1RjhGOy8lLHBsYWNlaG9sZGVyR0Y3Rj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjhGOy9GP1Enbm9ybWFsRic= quem admite o elemento 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 como um ponto fixo (e possivelmente outros) ent\303\243o 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 \303\251 o conjunto de permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUYvNihRIm5GJ0YyRjVGOEY7Rj5GMkY1RjhGOy8lLHBsYWNlaG9sZGVyR0Y3Rj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjhGOy9GP1Enbm9ybWFsRic= que admitem um ponto fixo no ponto.Para um todo 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 dado um cruzamento 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 de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= partes separadas (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) \303\251 o conjunto de permuta\303\247\303\265es que admite (pelo menos) os pontos fixos 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 . Cada cruzamento admite o mesmo cardeal: como as imagens de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= pontos fixos s\303\243o impostos, este \303\251 o n\303\272mero de permuta\303\247\303\265es do conjunto de 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 elementos restantes, ent\303\243o 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 . Al\303\251m disso, existem 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 Maneiras de escolher todo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= pontos fixos 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A soma d\303\241 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e mudar para 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usando a escrita 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.2. Come\303\247amos escolhendo o conjunto de pontos fixos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic=, \303\251 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 possibilidades. A restri\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= complementar \303\251 sem pontos fixos, ent\303\243o 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 possibilidades: no total 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 permuta\303\247\303\265es que t\303\252m exatamente LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= pontos fixos.<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Cas particuliers</Font></Text-field>1. On a 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 , 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 et 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 .Il y a donc 2 permutations sans point fixe dans 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 : 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 et LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYnLUYjNistSSNtbkdGJDYnUSIzRicvJSVzaXplR1EjMTBGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2MFEiLEYnRjRGN0Y6Rj0vJSZmZW5jZUdGPC8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y8LyUqc3ltbWV0cmljR0Y8LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjwvJSdhY2NlbnRHRjwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYnUSIxRidGNEY3RjpGPUZALUYxNidRIjJGJ0Y0RjdGOkY9RjRGN0Y6Rj1GNEY3RjpGPUY0RjdGOkY9.2. Si LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= = use DocumentTools in
n := parse(GetProperty(fix3,'value')):
g := n!*add(((-1)^k)/k!,k=0..n):
SetProperty(fix4,'value',g):
end use;
alors LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KVEnJiM5NDc7RicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHRjcvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNiktRi82KFEibkYnRjIvRjZGP0Y4RjsvRkFRJ2l0YWxpY0YnRjJGSEY4RjsvJSxwbGFjZWhvbGRlckdGP0ZJLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGMkY4RjtGQA== = .LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>Conhece.Em uma reuni\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= pessoas sentadas LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= as cadeiras sobem e depois se sentam aleatoriamente.O n\303\272mero de casos em que ningu\303\251m encontra sua cadeira \303\251 LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEoJmdhbW1hO0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JJW1yb3dHRiQ2Jy1GLDYoUSJuRidGLy9GM1EldHJ1ZUYnRjVGOC9GO1EnaXRhbGljRidGL0Y1RjhGOi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn , o n\303\272mero de casos em que apenas uma pessoa encontra sua cadeira \303\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 (ssujeito a possibilidade).
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza a \303\241rvore de permuta\303\247\303\243o de </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYoLUYvNiZRIm5GJ0YyRjVGOC8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJy8lLHBsYWNlaG9sZGVyR1EldHJ1ZUYnL0Y5USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRkBGMkY1Rjg=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYoLUYvNiZRIm5GJ0YyRjVGOC8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJy8lLHBsYWNlaG9sZGVyR1EldHJ1ZUYnL0Y5USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRkBGMkY1Rjg=</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> admitir </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEicEYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRidGLy8lJ2l0YWxpY0dRJmZhbHNlRicvRjNRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEicEYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRidGLy8lJ2l0YWxpY0dRJmZhbHNlRicvRjNRJ25vcm1hbEYn</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> pontos exatamente fixos</Font></Text-field>Mude os valores de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).
Em seguida, escolha o caso apropriado clicando no bot\303\243o de op\303\247\303\243o ad-hoc.
NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
N\303\263s temos 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use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
boo1 := GetProperty(fixRAB4,'value'):
boo2 := GetProperty(fixRAB5,'value'):
if parse(boo1) then G0 := fixG1: C0 := fixC1:
else if parse(boo2) then G0 := fixG2: C0 := fixC2:
end if end if:
B0 := C0[1]: UU := C0[2]: EE := C0[3]:
r0 := rand(1..nops(EE)):
V0 := [EE[r0()][1]]:
c0 := 2:
Do(%fixPLS2 = HighLight(G0,V0,B0,o0,HL[c0],OPT)):
end use;
use DocumentTools in
end use;
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Ig==JSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHJSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=use DocumentTools in
Do(%fixPLS2 = EP2D):
fixC1 := []:
fixC2 := []:
end use;
use DocumentTools in
TITRE := FIX1_P:
T0 := "i":
PAR := FIX1_E[T0]:
n0 := parse(GetProperty(fixTAR4,'value')):
p0 := parse(GetProperty(fixTAR5,'value')):
U0 := {seq(k,k=1..n0)}:
E0 := [p0,PAR[3][2]]:
PAR := [n0,U0,E0]:
FILM := TITRE(PAR,T0):
fixG1 := FILM["g"]:
fixC1 := FILM["c"]:
Do(%fixPLS2 = fixG1):
end use;
Permuta\303\247\303\265es admitindo 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 fixos entre todas as permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktRi82KFEibkYnRjJGNUY4RjtGPkYyRjVGOEY7LyUscGxhY2Vob2xkZXJHRjdGPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjJGOEY7L0Y/USdub3JtYWxGJw== .use DocumentTools in
TITRE := FIX2_P:
T0 := "i":
PAR := FIX2_E[T0]:
n0 := parse(GetProperty(fixTAR4,'value')):
fix := parse(GetProperty(fixTAR6,'value')):
U0 := [{seq(k,k=1..n0)},fix]:
E0 := PAR[3]:
PAR := [n0,U0,E0]:
FILM := TITRE(PAR,T0):
fixG2 := FILM["g"]:
fixC2 := FILM["c"]:
Do(%fixPLS2 = fixG2):
end use;
As permuta\303\247\303\265es cujos pontos fixos formam a totalidade
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 .(i) Nb de permuta\303\247\303\265es de \342\204\260.
ii) Nb de permuta\303\247\303\265es de \342\204\260 que preservam a parti\303\247\303\243o 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 .
1. Trocamos as letras da palavra BAOBAB.
Nb de permuta\303\247\303\265es que a mant\303\252m.2. 7 pessoas discern\303\255veis devem ser armazenadas on-line, incluindo 4 franceses, 3 alem\303\243es e 2 italianos.
N\303\272mero de maneiras de proceder nos seguintes casos:
(i) Os franceses est\303\243o todos \303\240 direita e os italianos est\303\243o todos \303\240 esquerda.
(ii) Pessoas da mesma nacionalidade permanecem juntas.
Retour<Text-field bookmark="ex12" style="Heading 3" foreground="[153,51,102]" italic="false" layout="Heading 3"><Font foreground="[153,51,102]" encoding="UTF-8" italic="false">1.2. Parti\303\247\303\243o de um n\303\272mero inteiro</Font></Text-field><Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 1.2.1 : Parti\303\247\303\243o de um n\303\272mero inteiro 1</Font></Text-field>
1. 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.N\303\272mero de parti\303\247\303\265es de suite en suite 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 cardeal 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 .2. Estamos desenvolvendo 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 .Coeficiente de 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 .
Retour<Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 1.2.2 : Parti\303\247\303\243o de um n\303\272mero inteiro 2</Font></Text-field>
1. A equipe policial de uma vila possui 8 pessoas discern\303\255veis, que devem ser divididas em 3 oficiais de patrulha, 2 oficiais de guarda e 3 oficiais de reserva.
N\303\272mero de distribui\303\247\303\265es.2. Nb de anagramas discern\303\255veis da palavra ABRACADABRA.
Retour<Text-field bookmark="ex13" style="Heading 3" foreground="[153,51,102]" italic="false" layout="Heading 3"><Font foreground="[153,51,102]" encoding="UTF-8" italic="false">1.3. Decomposi\303\247\303\243o de um n\303\272mero inteiro</Font></Text-field><Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 1.3.1 : Decomposi\303\247\303\243o de um n\303\272mero inteiro 1</Font></Text-field>
1. Observamos \342\204\260 todas as su\303\255tes 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de n\303\272meros inteiros positivos ou nulos de determinada soma 5.(i) Nb de sequ\303\252ncias de \342\204\260.
(ii) Idem saber que 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 .2. Estamos desenvolvendo 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 .(i) Nb de mon\303\264mios distintos 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 .(ii) Nb de mon\303\264mios distintos 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 .
Retour<Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 1.3.2 : Decomposi\303\247\303\243o de um n\303\272mero inteiro 2</Font></Text-field>
1. Oito professores indistingu\303\255veis s\303\243o designados para 4 escolas discern\303\255veis.
(i) N\303\272mero de tarefas.
(ii) N\303\272mero de tarefas se a escola 2 receber 3 professores.2. Queremos investir 1.000 \342\202\254 em 3 investimentos.
(i) Nb de possibilidades.
(ii) Nb de possibilidades sabendo que queremos investir pelo menos \342\202\254 100 por investimento.
Retour<Text-field bookmark="ex2" style="Heading 2" foreground="[153,51,102]" layout="Heading 2"><Font foreground="[153,51,102]">2. Outros problemas</Font></Text-field><Text-field bookmark="ex21" style="Heading 3" foreground="[153,51,102]" italic="false" layout="Heading 3"><Font foreground="[153,51,102]" italic="false">2.1. Caminho em uma rede</Font></Text-field><Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" italic="false">Ex 2.1.1 : Caminho em uma rede 1</Font></Text-field>
1. Na rede \342\204\225\303\227\342\204\225 notamos \342\204\260 o conjunto de caminhos de comprimento 8 que come\303\247am em (0, 0).
(i) Nb dos caminhos de \342\204\260 que terminam em (5, 3).
(ii) Nb dos caminhos de \342\204\260 que terminam em (5, 3) e que passam por (2, 1).
(iii) N\303\272mero de caminhos que passam por (5, 3).2. Na rede \342\204\225\303\227\342\204\225\303\227\342\204\225 notamos \342\204\260 o conjunto de caminhos a partir de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkobWZlbmNlZEdGJDYmLUYjNiotSSNtbkdGJDYmUSIwRicvJStmb3JlZ3JvdW5kR1EtWzE1Myw1MSwxMDJdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYvUSIsRidGNEY3RjovJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJ0YwRj1GMEY0RjdGOkY0RjdGOkY0RjdGOg== e terminar emLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkobWZlbmNlZEdGJDYmLUYjNiotSSNtbkdGJDYmUSIzRicvJStmb3JlZ3JvdW5kR1EtWzE1Myw1MSwxMDJdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYvUSIsRidGNEY3RjovJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYmUSI1RidGNEY3RjpGPS1GMTYmUSI0RidGNEY3RjpGNEY3RjpGNEY3RjpGNEY3Rjo=.N\302\272 de caminhos de \342\204\260.
Uma part\303\255cula come\303\247a em 0 e caminha sobre \342\204\244 : n\303\263s temos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RjhGRA== todo o comprimento anda LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JlEiMkYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnRi9GMi9GNlEnaXRhbGljRidGL0YyRjU= \303\251 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 para qualquer caminhada 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 .D\303\252 ao cardeal os seguintes conjuntos:(i) Juntos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiVUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RjhGRA== caminhos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYoLUkjbW5HRiQ2JVEiMkYnRjUvRjlRJ25vcm1hbEYnLUYvNiZRIm5GJ0YyRjVGOEYyRjUvJSxwbGFjZWhvbGRlckdGNEY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNUZB tal como 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 .(ii) Juntos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkobXN1YnN1cEdGJDYnLUkjbWlHRiQ2J1EiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0RjstRiM2KC1JI21vR0YkNi9RIitGJ0Y1RjhGRC8lJmZlbmNlR0Y6LyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHRjovJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y6LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRltvRjJGNUY4RklGOy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJS9zdWJzY3JpcHRzaGlmdEdGYG9GNUY4RkQ= caminhos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiotSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0LyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnRjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RjhGS0ZE tal como 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para todos 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 et 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 .(iii) Juntos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0Y1RjhGRC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGOEZE caminhos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiotSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0LyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnRjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RjhGS0ZE tal como 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 para todos 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 et 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 .(iv) Juntos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiQkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0Y1RjhGRC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGOEZE caminhos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiotSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0LyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnRjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RjhGS0ZE tal como 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para todos 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 et 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 .
RetourLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=<Text-field bookmark="ex23" style="Heading 3" foreground="[153,51,102]" italic="false" layout="Heading 3"><Font foreground="[153,51,102]" encoding="UTF-8" italic="false">2.3. Permuta\303\247\303\243o e pontos fixos</Font></Text-field><Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 2.3.1 : Permuta\303\247\303\243o e pontos fixos 1</Font></Text-field>
N\303\263s damos 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 .(i) Indique o n\303\272mero de permuta\303\247\303\265es de \342\204\260 sem pontos fixos.
(ii) Indique o n\303\272mero de permuta\303\247\303\265es de \342\204\260 com um \303\272nico ponto fixo.
(iii) D\303\252 o n\303\272mero de permuta\303\247\303\265es de \342\204\260 com dois pontos fixos exatamente.
N\303\263s usamos a conven\303\247\303\243o 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 si LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPEYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEiMEYnRjJGNUY/RjJGNUY/ ou si LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPkYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNidRInNGJ0YvRjJGNUY4RjJGNUY/ .Demonstre de maneira combinat\303\263ria e / ou calculativa as seguintes identidades:(i) 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(ii) 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 (iii) 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 (iv) 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(v) 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(vi) 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parti\303\247\303\243o 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.Para cont\303\241-los, usamos a regra do produto: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2J1EiMkYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNjBRIiFGJ0YvRjJGNUY4LyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdGT0YvRjJGNUY4 escolha para restri\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= \303\240 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 , ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2J1EiMkYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNjBRIiFGJ0YvRjJGNUY4LyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdGT0YvRjJGNUY4 escolha para restri\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= \303\240 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finalmenteLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2J1EiMUYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNjBRIiFGJ0YvRjJGNUY4LyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdGT0YvRjJGNUY4 escolha para restri\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= \303\240 LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXJvd0dGJDYnLUkjbWlHRiQ2KFEiY0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YyRjhGOy9GP1Enbm9ybWFsRidGMkY4RjtGQS8lJW9wZW5HUSJ8ZnJGJy8lJmNsb3NlR1EifGhyRic= :Ent\303\243o a\303\255 est\303\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 permuta\303\247\303\265es que mant\303\252m a parti\303\247\303\243o.O n\303\272mero de permuta\303\247\303\265es que mant\303\252m essa parti\303\247\303\243o \303\251LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYxLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMi8lK2ZvcmVncm91bmRHUSxbMjAwLDAsMjAwXUYnRjUvJSxwbGFjZWhvbGRlckdGNEY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYuUSIhRidGNUZBLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdGaW4tRkw2LlEifkYnRjVGQUZPRlFGU0ZVRldGWUZlbi9GaG5RJjAuMGVtRicvRltvRmBvRlxvLUYsNiVGLi1GIzYoLUY+NiVRIjJGJ0Y1RkFGMkZDRjVGRkY4RkhGS0Zcb0Zcby1GTDYuUSgmY3Rkb3Q7RidGNUZBRk9GUUZTRlVGV0ZZRmVuRl9vRmFvRlxvRlxvLUYsNiVGLi1GIzYoLUYvNiZRInBGJ0YyRjVGOEYyRkNGNUZGRjhGSEZLRjVGQQ== .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>Anagramas que n\303\243o mudam uma palavra com letras repetidas.Matematicamente, esse anagrama \303\251 uma permuta\303\247\303\243o que preserva a parti\303\247\303\243o da palavra em letras id\303\252nticas: pois essa diferencia artificialmente essas letras.Por exemplo, a palavra aabbc sera reescrita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiYUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUkjbW5HRiQ2J1EiMUYnRjJGOEY7L0Y/USdub3JtYWxGJ0YyRjhGO0ZHLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRiw2JUYuLUYjNictRkQ2J1EiMkYnRjJGOEY7RkdGMkY4RjtGR0ZJLUYsNiUtRi82KFEiYkYnRjJGNUY4RjtGPkZBRkktRiw2JUZVRk5GSS1GLzYoUSJjRidGMkY1RjhGO0Y+RjJGOEY7Rkc= e anagramas que devolvem aabbc s\303\243o as permuta\303\247\303\265es que mant\303\252m a parti\303\247\303\243o 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 .
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza a \303\241rvore de permuta\303\247\303\243o de </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUklbXN1YkdGJDYlLUkjbWlHRiQ2KlEiRUYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lKnVuZGVybGluZUdGNy8lK2ZvcmVncm91bmRHUS5bMTAyLDEwMiwxNTNdRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkItRiM2LC1GLzYqUSJuRidGMkY1RjhGO0Y9RkBGQy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRjJGNUY4RjtGPS8lLHBsYWNlaG9sZGVyR0Y3RkBGQy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2M1EifkYnRjJGNUY4RjtGPUZARkMvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zgb0ZKRjJGNUY4RjtGPUZARkM=">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</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">quem mant\303\251m a pontua\303\247\303\243o </Font><Equation executable="false" style="Heading 4" input-equation="" display="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">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</Equation></Text-field>Editar 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 se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).
Em seguida, clique no bot\303\243o para inicializar o gr\303\241fico.
NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
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use DocumentTools in
o0 := [0,0]:
C0 := mpermC: G0 := mpermG:
B0 := C0[1]: UU := C0[2]:
r0 := rand(1..nops(UU)):
V0 := [UU[r0()][1]]:
c0 := 1:
Do(%mpermPLS1 = HighLight(G0,V0,B0,o0,HL[c0],OPT)):
end use;
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Ig==JSFHuse DocumentTools in
TITRE := MULTIPERM_P:
T0 := "i":
PAR := MULTIPERM_E[T0]:
mot := parse(GetProperty(mpermTAR1,'value')):
mot := PseudoList2List(mot):
part := parse(GetProperty(mpermTAR2,'value')):
part := map(PseudoList2List,part):
n0 := nops(mot):
p0 := nops(part):
U0 := [mot,part]:
E0 := PAR[4]:
PAR := [n0,p0,U0,E0]:
FILM := TITRE(PAR,T0):
mpermG := FILM["g"]:
mpermC := FILM["c"]:
Do(%mpermPLS1 = mpermG):
end use;
<Text-field bookmark="co12" style="Heading 2" size="10" layout="Heading 2"><Font size="14" encoding="UTF-8">1.2. Parti\303\247\303\243o de um n\303\272mero inteiro</Font></Text-field>
Uma pontua\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn na su\303\255te 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 de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn partes de 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 elementos \303\251 chamado parti\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLFsyNTUsMTAyLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjVGOA== em 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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Exemplos</Font></Text-field>JSFHN\303\263s temos 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. As pontua\303\247\303\265es de 5 en (2,2,1) s\303\243o as su\303\255tes 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 , 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 , \342\213\257LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Para cont\303\241-los, come\303\247amos escolhendo os 2 elementos da primeira parte entre os 5 elementos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUkjbW5HRiQ2J1EiNUYnRjJGOEY7L0Y/USdub3JtYWxGJ0YyRjVGOEY7LyUscGxhY2Vob2xkZXJHRjdGPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjJGOEY7Rkc= , ent\303\243o os 2 elementos da segunda parte entre os 3 elementos restantes de LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2Jy1JI21uR0YkNidRIjVGJ0YvRjVGOC9GPFEnbm9ybWFsRidGL0Y1RjhGRS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn , ent\303\243o o \303\272nico elemento da terceira parte entre o \303\272nico elemento restante de LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JJW1yb3dHRiQ2Jy1JI21uR0YkNidRIjVGJ0YvRjVGOC9GPFEnbm9ybWFsRidGL0Y1RjhGRS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn :Ent\303\243o a\303\255 est\303\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escolhas poss\303\255veis.O n\303\272mero de parti\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn em 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,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 .1. 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 .2. F\303\263rmula multinomial :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 .Esta f\303\263rmula diz que o coeficiente do multinom 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 \303\251 o coeficiente multinomial LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXJvd0dGJDYlLUkmbWZyYWNHRiQ2KC1GLDYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjovRj5RJ25vcm1hbEYnLUYsNictRjQ2I1EhRictRiw2J0ZELUYsNidGRC1GLDYtLUklbXN1YkdGJDYlRjMtRiw2JS1JI21uR0YkNiVRIjFGJ0Y6RkBGOkZALyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYuUSJ+RidGOkZALyUmZmVuY2VHRjwvJSpzZXBhcmF0b3JHRjwvJSlzdHJldGNoeUdGPC8lKnN5bW1ldHJpY0dGPC8lKGxhcmdlb3BHRjwvJS5tb3ZhYmxlbGltaXRzR0Y8LyUnYWNjZW50R0Y8LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGZ28tRlo2LlEiLEYnRjpGQEZnbi9Gam5GOUZbb0Zdb0Zfb0Zhb0Zjb0Zlby9GaW9RLDAuMzMzMzMzM2VtRidGWS1GWjYuUSgmY3Rkb3Q7RidGOkZARmduRmluRltvRl1vRl9vRmFvRmNvRmVvRmhvRllGam9GWS1GTjYlRjMtRiw2JS1GNDYmUSJwRidGN0Y6Rj1GOkZARlZGOkZARkRGOkZARkRGOkZARkRGOkZALyUubGluZXRoaWNrbmVzc0dGWC8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZecS8lKWJldmVsbGVkR0Y8RjpGQEY6RkAvSSttc2VtYW50aWNzR0YkUSliaW5vbWlhbEYnRmNx quando desenvolvemos 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 . 3. A soma dos coeficientes multinomiais \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic= .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>1. Anagramas discern\303\255veis de uma palavra de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEibkYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= letras (discern\303\255veis ou n\303\243o).Matematicamente, os anagramas da palavra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEmYWFiYmNGJy8lJXNpemVHUSMxMEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0Y1RjgvRjxRJ25vcm1hbEYn s\303\243o as pontua\303\247\303\265es de 5 em (2,2,1) . Em termos pr\303\241ticos, contaremos da seguinte maneira: primeiro escolhemos o local das 2 letras a entre os 5 locais poss\303\255veis, depois o local das 2 letras b entre os 3 locais restantes, finalmente o local da letra c, que \303\251 realmente imposta: existe, portanto, 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 anagramas discern\303\255veis.Nesta interpreta\303\247\303\243o, a palavra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEmYWFiYmNGJy8lJXNpemVHUSMxMEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0Y1RjgvRjxRJ25vcm1hbEYn em si \303\251 considerado a permuta\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEmYWFiYmNGJy8lJXNpemVHUSMxMEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0Y1RjgvRjxRJ25vcm1hbEYn . 2. Distribui\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEibkYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= pessoas discern\303\255veis em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEicEYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= grupos discern\303\255veis de funcion\303\241rios 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 .Matematicamente, as distribui\303\247\303\265es desse tipo s\303\243o as parti\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYnLUYjNi8tSSVtc3ViR0YkNiUtSSNtaUdGJDYoUSJuRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSNtbkdGJDYnUSIxRidGN0Y9RkAvRkRRJ25vcm1hbEYnRjdGPUZARkwvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNjBRIn5GJ0Y3Rj1GQEZMLyUmZmVuY2VHRkIvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGX28tRlI2MFEiLEYnRjdGPUZARkxGVS9GWEY8RllGZW5GZ25GaW5GW29GXW8vRmFvUSwwLjMzMzMzMzNlbUYnRlEtRlI2MFEoJmN0ZG90O0YnRjdGPUZARkxGVUZXRllGZW5GZ25GaW5GW29GXW9GYG9GUUZib0ZRLUYxNiVGMy1GIzYnLUY0NihRInBGJ0Y3RjpGPUZARkNGN0Y9RkBGTEZORjdGPUZARkxGN0Y9RkBGTEY3Rj1GQEZM.Por exemplo, as distribui\303\247\303\265es de 3 pessoas a,b,c em 2 grupos de funcion\303\241rios 2.1 s\303\243o as parti\303\247\303\265es de 3 em (2,1) :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 .H\303\241 alguns 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 .
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza as pontua\303\247\303\265es de </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYlLUkjbWlHRiQ2KlEiRUYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lKnVuZGVybGluZUdGNy8lK2ZvcmVncm91bmRHUS5bMTAyLDEwMiwxNTNdRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkItRiM2Ky1GLzYqUSJuRidGMkY1RjhGO0Y9RkBGQy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRjJGNUY7Rj0vJSxwbGFjZWhvbGRlckdGNy9GQVEsYm9sZC1pdGFsaWNGJ0ZDLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGSkYyRjVGOEY7Rj1GQEZD">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYlLUkjbWlHRiQ2KlEiRUYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lKnVuZGVybGluZUdGNy8lK2ZvcmVncm91bmRHUS5bMTAyLDEwMiwxNTNdRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkItRiM2Ky1GLzYqUSJuRidGMkY1RjhGO0Y9RkBGQy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRjJGNUY7Rj0vJSxwbGFjZWhvbGRlckdGNy9GQVEsYm9sZC1pdGFsaWNGJ0ZDLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGSkYyRjVGOEY7Rj1GQEZD</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> em </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>Mude o valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== e o resto 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 se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).Em seguida, escolha o caso apropriado clicando no bot\303\243o de op\303\247\303\243o ad-hoc.
NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
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N\303\263s temos 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use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
boo1 := GetProperty(mcombRAB1,'value'):
boo2 := GetProperty(mcombRAB2,'value'):
if parse(boo1) then G0 := mcombG1: C0 := mcombC1:
else if parse(boo2) then G0 := mcombG2: C0 := mcombC2:
end if end if:
B0 := C0[1]: UU := C0[2]:
r0 := rand(1..nops(UU)):
V0 := [UU[r0()][1]]:
c0 := 1:
Do(%mcombPLS1 = HighLight(G0,V0,B0,o0,HL[c0],OPT)):
end use;
use DocumentTools in
end use;
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Ig==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=use DocumentTools in
Do(%mcombPLS1 = EP2D):
mcombC1 := []:
mcombC2 := []:
end use;JSFHuse DocumentTools in
TITRE := MULTICOMB1_P:
T0 := "i":
PAR := MULTICOMB1_E[T0]:
n0 := parse(GetProperty(mcombTAR1,'value')):
pp := parse(GetProperty(mcombTAR2,'value')):
p0 := nops(pp):
ee := {seq(convert(StringTools[Char](96+k),name),k=1..n0)}:
ee := {seq(convert(StringTools[Char](106+k),name),k=1..n0)}:
U0 := [ee,pp]:
E0 := PAR[4]:
PAR := [n0,p0,U0,E0]:
FILM := TITRE(PAR,T0):
mcombG1 := FILM["g"]:
mcombC1 := FILM["c"]:
Do(%mcombPLS1 = mcombG1):
end use;
Por escolhas sucessivas.use DocumentTools in
TITRE := MULTICOMB2_P:
T0 := "i":
PAR := MULTICOMB2_E[T0]:
n0 := parse(GetProperty(mcombTAR1,'value')):
pp := parse(GetProperty(mcombTAR2,'value')):
p0 := nops(pp):
ee := {seq(convert(StringTools[Char](96+k),name),k=1..n0)}:
U0 := [ee,pp]:
E0 := PAR[4]:
PAR := [n0,p0,U0,E0]:
FILM := TITRE(PAR,T0):
mcombG2 := FILM["g"]:
mcombC2 := FILM["c"]:
Do(%mcombPLS1 = mcombG2):
end use; Por permuta\303\247\303\265es.
<Text-field bookmark="co13" style="Heading 2" size="10" layout="Heading 2"><Font size="14" encoding="UTF-8">1.3. Decomposi\303\247\303\243o de um n\303\272mero inteiro</Font></Text-field>
Uma su\303\255te 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 n\303\272meros inteiros positivos ou nulos que satisfazem o relacionamento 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 \303\251 chamado decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLFsyNTUsMTAyLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjVGOA== em 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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Exemplos</Font></Text-field>JSFHAs decomposi\303\247\303\265es de 3 em 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 s\303\243o as su\303\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 .Vamos codific\303\241-los\303\227|\303\227|\303\227| , \303\227|\303\227| |\303\227 , \303\227\303\227|\303\227|| ,onde as 3 barras | delimite os 4 n\303\272meros inteiros e o n\303\272mero de cruzamentos entre duas barras representa o n\303\272mero inteiro em quest\303\243o: existem, portanto, 3 cruzamentos ou todos os s\303\255mbolos 3 + 3.Estes 6 s\303\255mbolos devem ser distribu\303\255dos por 6 locais - - - - - - e cada reparti\303\247\303\243o corresponde \303\240 escolha das 3 barras | (ou 3 cruzamentos \303\227) entre os 6 arremessos: existem 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 .O n\303\272mero de decomposi\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn em 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 \303\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 ,com 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 .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 \303\251 o n\303\272mero de multinomiais distintos 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 na decomposi\303\247\303\243o de 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bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>1. Desenhar 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 de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEicEYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= elementos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEibkYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= elementos discern\303\255veis.Matematicamente, essa impress\303\243o \303\251 uma decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkrbXVuZGVyb3ZlckdGJDYnLUkjbW9HRiQ2MFEmJlN1bTtGJy8lJXNpemVHUSMxMEYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJnVuc2V0RicvJSpzZXBhcmF0b3JHRkAvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGQC8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZALyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2Ki1JI21pR0YkNihRImtGJ0YyLyUnaXRhbGljR0Y6RjVGOEY7LUYvNjBRIj1GJ0YyRjVGOEY7L0Y/RjovRkJGOi9GREY6L0ZHRjovRklGOi9GS0Y6L0ZNRjovRk9RLDAuMjc3Nzc3OGVtRicvRlJGYW8tSSNtbkdGJDYnUSIxRidGMkY1RjhGO0YyRjVGOC8lMGZvbnRfc3R5bGVfbmFtZUdRJVRleHRGJ0Y7LUYjNigtRlc2KFEibkYnRjJGWkY1RjhGO0YyRjVGOEZnb0Y7Rl9vLyUsYWNjZW50dW5kZXJHRjotRi82MFEifkYnRjJGNUY4RjtGaW5Gam5GW29GXG9GXW9GXm9GX29GTi9GUkZQLUklbXN1YkdGJDYlLUZXNihRInBGJ0YyRlpGNUY4RjstRiM2KEZWRjJGNUY4RmdvRjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjVGOEZnb0Y7 : sozinho conta o n\303\272mero de vezes que cada um LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= elementos \303\251 desenhado.JSFHJSFH2. Jogue sem ordem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEicEYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= tempos de dados para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEibkYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= rostos discern\303\255veis.Matematicamente, esse arremesso \303\251 uma decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em 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 : sconta o n\303\272mero de vezes que cada uma das n faces aparece.3. Distribui\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEicEYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= bolas indistingu\303\255veis em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KlEibkYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y0LyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGL0YyRjdGOi9GPkZCRkA= urnas discern\303\255veis.Matematicamente, essa distribui\303\247\303\243o \303\251 uma decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em 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 : conta apenas o n\303\272mero de bolas em cada uma das urnas.
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza a decomposi\303\247\303\243o de </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEicEYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRi8vJSdpdGFsaWNHUSZmYWxzZUYnRjIvRjZRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEicEYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRi8vJSdpdGFsaWNHUSZmYWxzZUYnRjIvRjZRJ25vcm1hbEYn</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> em </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>Modifique os valores de p e n se considerar \303\272til (dentro de limites razo\303\241veis).
Em seguida, clique no bot\303\243o para inicializar o gr\303\241fico.
NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
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use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
G0 := mdecG: C0 := mdecC:
B0 := C0[1]: UU := C0[2]:
r0 := rand(1..nops(UU)):
V0 := [UU[r0()][1]]:
c0 := 1:
Do(%mdecPLS1 = HighLight(G0,V0,B0,o0,HL[c0],OPT)):
end use;
use DocumentTools in
end use;
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Ig==JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=use DocumentTools in
TITRE := MULTIDEC_P:
T0 := "i":
PAR := MULTIDEC_E[T0]:
p0 := parse(GetProperty(mdecTAR1,'value')):
n0 := parse(GetProperty(mdecTAR2,'value')):
U0 := PAR[3]:
E0 := PAR[4]:
PAR := [p0,n0,U0,E0]:
FILM := TITRE(PAR,T0):
mdecG := FILM["g"]:
mdecC := FILM["c"]:
Do(%mdecPLS1 = mdecG):
end use;
<Text-field bookmark="co2" style="Heading 2" layout="Heading 2">2. Outros problemas</Text-field><Text-field bookmark="co21" style="Heading 2" size="10" layout="Heading 2"><Font size="14">2.1. Caminho em uma rede</Font></Text-field>
1. Um longo caminho LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLFsyNTUsMTAyLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjVGOA== na rede \342\204\225\303\227\342\204\225 \303\251 uma sequela com repeti\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn segmentos de unidade 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 ou LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiakYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5LUkjbW9HRiQ2LlEiPUYnRjUvRjhRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUi1JKG1mZW5jZWRHRiQ2JS1GIzYnLUkjbW5HRiQ2JVEiMEYnRjVGQC1GPTYuUSIsRidGNUZARkIvRkVGMUZGRkhGSkZMRk4vRlFRJjAuMGVtRicvRlRRLDAuMzMzMzMzM2VtRictRmVuNiVRIjFGJ0Y1RkBGNUZARjVGQEY1RkA=. 2. Um caminho que leva a partir do ponto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNictSSNtbkdGJDYlUSIwRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSIsRidGNEY3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY0RjdGNEY3RjRGNw== perfeito LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNictSSNtaUdGJDYmUSJwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSIsRidGNy9GO1Enbm9ybWFsRicvJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYmUSJxRidGNEY3RjpGN0ZBRjdGQUY3RkE=comporta-se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn segmentos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiaUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5RjUvRjhRJ25vcm1hbEYn e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn segmentos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiakYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5RjUvRjhRJ25vcm1hbEYn .O n\303\272mero de caminhos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNictSSNtbkdGJDYlUSIwRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSIsRidGNEY3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY0RjdGNEY3RjRGNw== \303\240 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNictSSNtaUdGJDYmUSJwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSIsRidGNy9GO1Enbm9ybWFsRicvJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYmUSJxRidGNEY3RjpGN0ZBRjdGQUY3RkE= \303\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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Exemplos</Font></Text-field>1. Um caminho de 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 e comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= stermina em um 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 da 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 : h\303\241 alguns LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1cEdGJDYlLUkjbW5HRiQ2J1EiMkYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYqLUkjbW9HRiQ2MFEifkYnRjJGNUY4RjsvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZULUkjbWlHRiQ2KFEibkYnRjIvJSdpdGFsaWNHUSV0cnVlRidGNUY4L0Y8USdpdGFsaWNGJ0YyRmVuRjVGOC8lLHBsYWNlaG9sZGVyR0ZnbkZobi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGMkY1RjhGOw== .2. Um caminho de 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 \303\240 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYnLUYjNiktSSNtaUdGJDYoUSJwRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2MFEiLEYnRjRGOkY9L0ZBUSdub3JtYWxGJy8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYxNihRInFGJ0Y0RjdGOkY9RkBGNEY6Rj1GR0Y0RjpGPUZHRjRGOkY9Rkc= \303\251 equivalente a uma decomposi\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= em 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 : h\303\241 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 .3. \303\211 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj5GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNihRInBGJ0YvRjJGNUY4RjtGL0Y1RjhGQg==.(i) Princ\303\255pio da reflex\303\243o.Existem tantos caminhos 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 \303\240 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 tocando ou cruzando a direita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNihRInBGJ0YvRjJGNUY4RjtGL0Y1RjhGQg== tocando ou cruzando a 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 \303\240 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 : ent\303\243o existem 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 .(ii) Os caminhos de 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 \303\240 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYnLUYjNiktSSNtaUdGJDYoUSJwRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2MFEiLEYnRjRGOkY9L0ZBUSdub3JtYWxGJy8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYxNihRInFGJ0Y0RjdGOkY9RkBGNEY6Rj1GR0Y0RjpGPUZHRjRGOkY9Rkc= que constantemente ficam estritamente acima da direita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNihRInBGJ0YvRjJGNUY4RjtGL0Y1RjhGQg== necessariamente passar 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 : estes s\303\243o os caminhos deLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYmLUYjNictSSNtbkdGJDYmUSIwRicvJSVzaXplR1EjMTBGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi9RIixGJ0Y0RjdGOi8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYxNiZRIjFGJ0Y0RjdGOkY3RjpGNEY3RjpGN0Y6 \303\240 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 que n\303\243o tocam ou cruzam a direita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSI9RidGL0Y1L0Y5USdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlEtRiw2J1EicEYnRi9GMkY1RjhGNUY/ , ent\303\243o existem 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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>Jogos de azar.Num jogo cara ou coroa, ganhamos 1 euro se tivermos cara e perdemos 1 euro se tivermos cara: uma parte consiste em jogar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y1RjgvRjxRJ25vcm1hbEYn vezes seguidas.1.O n\303\272mero de jogos em que terminamos com uma vit\303\263ria 0 <g \303\251 aquele em que vencemos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y1RjgvRjxRJ25vcm1hbEYn euro e p euro perdido, comeuro e p euro perdido, com 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 et 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 .2.O n\303\272mero de jogos em que os ganhos excedem estritamente as perdas em cada lance \303\251 igual ao n\303\272mero de 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 \303\240 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 que constantemente ficam estritamente acima da direita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEicUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNihRInBGJ0YvRjJGNUY4RjtGL0Y1RjhGQg== .
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza os caminhos de comprimento </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSdpdGFsaWNHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSdpdGFsaWNHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> sem uma rede 2D</Font></Text-field>Mude o valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).
Em seguida, escolha o caso apropriado clicando no bot\303\243o de op\303\247\303\243o ad-hoc.
NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
OPT1 := copy(OPT): OPT1["ij"] := [1,1]: OPT1["mo"] := "P":
boo1 := GetProperty(pathRAB1,'value'):
boo2 := GetProperty(pathRAB2,'value'):
if parse(boo1) then G0 := pathGi: C0 := pathCi:
else if parse(boo2) then G0 := pathGii: C0 := pathCii:
end if end if:
B0 := C0[1]: UU := C0[2]: EE := C0[3]:
if parse(boo1) then u0 := nops(UU): c0 := 1: AA := UU:
else if parse(boo2) then u0 := nops(EE): c0 := 2: AA := EE:
end if end if:
r0 := rand(1..u0):
V0 := [AA[r0()][1]]:
Do(%pathPLS1 = HighLight(G0,V0,B0,o0,HL[c0],OPT1)):
end use;
use DocumentTools in
end use;
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Ig==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHuse DocumentTools in
Do(%pathPLS1 = EP2D):
pathCi := []:
pathCii := []:
end use;
use DocumentTools in
TITRE := PATH_P:
T0 := "i":
PAR := PATH_E[T0]:
n0 := parse(GetProperty(pathTAR1,'value')):
U0 := PAR[2]:
E0 := PAR[3]:
PAR := [n0,U0,E0]:
FILM := TITRE(PAR,T0):
pathGi := FILM["g"]:
pathCi := FILM["c"]:
Do(%pathPLS1 = pathGi):
end use;
Todos os caminhos de comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw==.use DocumentTools in
TITRE := PATH_P:
T0 := "ii":
PAR := PATH_E[T0]:
n0 := parse(GetProperty(pathTAR1,'value')):
evd := [parse(GetProperty(pathTAR2,'value'))]:
evr := PAR[3][2]:
U0 := PAR[2]:
E0 := [evd,evr]:
PAR := [n0,U0,E0]:
FILM := TITRE(PAR,T0):
pathGii := FILM["g"]:
pathCii := FILM["c"]:
Do(%pathPLS1 = pathGii):
end use;
Os caminhos de comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjVGOC9GPFEnbm9ybWFsRic= e passando por.
Uma part\303\255cula come\303\247a de 0 e caminha \342\204\244 por saltos sucessivos de um ponto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYnpara um de seus vizinhos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlElJnBtO0YnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGTi1JI21uR0YkNiVRIjFGJ0YyRjxGMkY8 : cada salto \303\251 codificado LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlElJnBtO0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRS1JI21uR0YkNiVRIjFGJ0YvRjJGL0Yy.
Uma longa caminhada LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLFsyNTUsMTAyLDBdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjVGOA== certo \342\204\244 \303\251 uma sequela com repeti\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn entre 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 :para uma sequela 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 a soma 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 d\303\241 a posi\303\247\303\243o da part\303\255cula.O n\303\272mero de passeios acima de. Comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JVEiMkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnRi8vRjNRJ2l0YWxpY0YnRi9GMg== e verificando 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 \303\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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Observa\303\247\303\265es</Font></Text-field>Uma caminhada em \342\204\244 \303\251 equivalente a um caminho na \342\204\225\303\227\342\204\225 codificando -1 por i e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2MFEiK0YnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkstSSNtbkdGJDYnUSIxRidGL0YyRjVGOEYvRjJGNUY4 de j : por exemplo, uma caminhada de comprimento LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW5HRiQ2J1EiMkYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNjBRIn5GJ0YvRjJGNUY4LyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTy1JI21pR0YkNihRIm5GJ0YvLyUnaXRhbGljR1EldHJ1ZUYnRjJGNS9GOVEnaXRhbGljRidGL0YyRjVGOA== tal como que 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 \303\251 equivalente a um caminho de 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 \303\240 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.<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>Jogos de azar.Num jogo cara ou coroa, ganhamos 1 euro se tivermos cara e perdemos 1 euro se tivermos cara: uma parte consiste em jogar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2J1EiMkYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21pR0YkNihRIm5GJ0YvLyUnaXRhbGljR1EldHJ1ZUYnRjJGNS9GOVEnaXRhbGljRidGL0YyRjVGOA== vezes seguidas.O n\303\272mero de jogos em que terminamos com ganho zero \303\251 igual ao n\303\272mero de caminhadas em \342\204\244 que terminam em 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 .
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza caminhadas </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSdpdGFsaWNHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSdpdGFsaWNHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==</Equation></Text-field>Mude o valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).
Em seguida, clique no bot\303\243o para inicializar o gr\303\241fico.
NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
OPT1 := copy(OPT): OPT1["ij"] := [1,1]: OPT1["mo"] := "P":
C0 := walkC: G0 := walkG:
B0 := C0[1]: UU := C0[2]: EE := C0[3]:
r0 := rand(1..nops(UU)): v0 := UU[r0()][1]: c0 := 1:
Do(%walkPLS1 = EventWalk(G0,v0,B0,o0,HL[c0],OPT1)):
end use;
use DocumentTools in
end use;
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Ig==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHJSFHJSFHJSFHJSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHJSFHJSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=use DocumentTools in
OPT1 := copy(OPT): OPT1["ij"] := [1,1]: OPT1["mo"] := "P":
T0 := "i":
TITRE := WALK_P:
PAR := WALK_E[T0]:
FILM := TITRE(PAR,T0):
walkC := FILM["c"]: walkG := FILM["g"]:
Do(%walkPLS1 = walkG):
end use;
<Text-field bookmark="co23" style="Heading 2" size="10" layout="Heading 2"><Font size="14" encoding="UTF-8">2.3. Permuta\303\247\303\243o e pontos fixos</Font></Text-field>
A permuta\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn admite LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiaUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn como um ponto fixo se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEiaUYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQC1JI21vR0YkNi5RIj1GJ0YyRkAvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZWRj1GMkZA .1. Le nombre des permutations sans point fixe de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn \303\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 .2. O n\303\272mero de permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEibkYnRjJGNUY4RjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJ0Y1LyUscGxhY2Vob2xkZXJHRjRGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjUvRjlRJ25vcm1hbEYn tendo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn pontos exatamente fixos \303\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 .<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Evid\303\252ncia</Font></Text-field>1. Usamos uma f\303\263rmula no cardeal de uma reuni\303\243o: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 .Se denotarmos por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiQUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUYvNihRInBGJ0YyRjVGOEY7Rj5GMkY1RjhGOy8lLHBsYWNlaG9sZGVyR0Y3Rj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjhGOy9GP1Enbm9ybWFsRic= o conjunto de permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUYvNihRIm5GJ0YyRjVGOEY7Rj5GMkY1RjhGOy8lLHBsYWNlaG9sZGVyR0Y3Rj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjhGOy9GP1Enbm9ybWFsRic= quem admite o elemento 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 como um ponto fixo (e possivelmente outros) 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 \303\251 o conjunto de permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUYvNihRIm5GJ0YyRjVGOEY7Rj5GMkY1RjhGOy8lLHBsYWNlaG9sZGVyR0Y3Rj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjhGOy9GP1Enbm9ybWFsRic= que admitem um ponto fixo no ponto.Para um todo 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 dado um cruzamento 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 de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= partes separadas (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) \303\251 o conjunto de permuta\303\247\303\265es que admite (pelo menos) os pontos fixos 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 . Cada cruzamento admite o mesmo cardeal: como as imagens de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic=pontos fixos s\303\243o impostos, este \303\251 o n\303\272mero de permuta\303\247\303\265es do conjunto de 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 elementos restantes, ent\303\243o 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 . Al\303\251m disso, existem 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 Maneiras de escolher tudo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= pontos fixos 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A soma d\303\241 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mudar para 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Come\303\247amos escolhendo todos os pontos fixos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic=, \303\251 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 possibilidades. A restri\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= complementar \303\251 sem pontos fixos, ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KVEnJiM5NDc7RicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHRjcvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNistRi82KFEibkYnRjIvRjZGP0Y4RjsvRkFRJ2l0YWxpY0YnLUkjbW9HRiQ2MFEoJm1pbnVzO0YnRjJGOEY7RkAvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0Zpbi1GLzYoUSJwRidGMkZIRjhGO0ZJRjJGSEY4RjsvJSxwbGFjZWhvbGRlckdGP0ZJLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGMkY4RjtGQA== possibilidades: no total 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 permuta\303\247\303\265es que t\303\252m exatamente LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= pontos fixos.<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" italic="false">Casos especiais</Font></Text-field>1. Temos 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 , 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 e 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 .Portanto, existem 2 permuta\303\247\303\265es sem ponto fixo em 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 : 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 e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobWZlbmNlZEdGJDYnLUYjNistSSNtbkdGJDYnUSIzRicvJSVzaXplR1EjMTBGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2MFEiLEYnRjRGN0Y6Rj0vJSZmZW5jZUdGPC8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y8LyUqc3ltbWV0cmljR0Y8LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjwvJSdhY2NlbnRHRjwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYnUSIxRidGNEY3RjpGPUZALUYxNidRIjJGJ0Y0RjdGOkY9RjRGN0Y6Rj1GNEY3RjpGPUY0RjdGOkY9.2. S LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= = use DocumentTools in
n := parse(GetProperty(fix1,'value')):
g := n!*add(((-1)^k)/k!,k=0..n):
SetProperty(fix2,'value',g):
end use;
ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KVEnJiM5NDc7RicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHRjcvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNiktRi82KFEibkYnRjIvRjZGP0Y4RjsvRkFRJ2l0YWxpY0YnRjJGSEY4RjsvJSxwbGFjZWhvbGRlckdGP0ZJLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGMkY4RjtGQA== = .JSFH<Text-field style="Heading 3" underline="true" bold="false" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Situa\303\247\303\265es</Font></Text-field>Conheceu.Em uma reuni\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= pessoas sentadas LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= as cadeiras sobem e depois se sentam aleatoriamente.O n\303\272mero de casos em que ningu\303\251m encontra sua cadeira \303\251 LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEoJmdhbW1hO0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JJW1yb3dHRiQ2Jy1GLDYoUSJuRidGLy9GM1EldHJ1ZUYnRjVGOC9GO1EnaXRhbGljRidGL0Y1RjhGOi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYn , o n\303\272mero de casos em que apenas uma pessoa encontra sua cadeira \303\251 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 (sujeito a possibilidade).
<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[102,102,153]" encoding="UTF-8" italic="false">Gr\303\241fico interativo: visualiza a \303\241rvore de permuta\303\247\303\243o de </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYoLUYvNiZRIm5GJ0YyRjVGOC8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJy8lLHBsYWNlaG9sZGVyR1EldHJ1ZUYnL0Y5USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRkBGMkY1Rjg=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYoLUYvNiZRIm5GJ0YyRjVGOC8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYnRjIvJStmb3JlZ3JvdW5kR1EsWzIwMCwwLDIwMF1GJy8lLHBsYWNlaG9sZGVyR1EldHJ1ZUYnL0Y5USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRkBGMkY1Rjg=</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> admitir </Font><Equation executable="false" style="Heading 4" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEicEYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRidGLy8lJ2l0YWxpY0dRJmZhbHNlRicvRjNRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEicEYnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRidGLy8lJ2l0YWxpY0dRJmZhbHNlRicvRjNRJ25vcm1hbEYn</Equation><Font size="10" underline="true" bold="true" foreground="[102,102,153]" italic="false"> pontos exatamente fixos</Font></Text-field>Mude os valores de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GNUY4L0Y8USdub3JtYWxGJw== se voc\303\252 considerar \303\272til (dentro de limites razo\303\241veis).
Em seguida, escolha o caso apropriado clicando no bot\303\243o de op\303\247\303\243o ad-hoc.
NB: Ao clicar no gr\303\241fico e, em seguida, usar as ferramentas no canto superior esquerdo da planilha, voc\303\252 pode animar o caminho de uma ramifica\303\247\303\243o: isso \303\251 determinado aleatoriamente, varia conforme voc\303\252 clica v\303\241rias vezes sucessivamente.
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 DocumentTools in
end use;
N\303\263s temos 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use DocumentTools in
end use;
use DocumentTools in
o0 := [0,0]:
boo1 := GetProperty(fixRAB1,'value'):
boo2 := GetProperty(fixRAB2,'value'):
if parse(boo1) then G0 := fixG1: C0 := fixC1:
else if parse(boo2) then G0 := fixG2: C0 := fixC2:
end if end if:
B0 := C0[1]: UU := C0[2]: EE := C0[3]:
r0 := rand(1..nops(EE)):
V0 := [EE[r0()][1]]:
c0 := 2:
Do(%fixPLS1 = HighLight(G0,V0,B0,o0,HL[c0],OPT)):
end use;
use DocumentTools in
end use;
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Ig==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHuse DocumentTools in
Do(%fixPLS1 = EP2D):
fixC1 := []:
fixC2 := []:
end use;
use DocumentTools in
TITRE := FIX1_P:
T0 := "i":
PAR := FIX1_E[T0]:
n0 := parse(GetProperty(fixTAR1,'value')):
p0 := parse(GetProperty(fixTAR2,'value')):
U0 := {seq(k,k=1..n0)}:
E0 := [p0,PAR[3][2]]:
PAR := [n0,U0,E0]:
FILM := TITRE(PAR,T0):
fixG1 := FILM["g"]:
fixC1 := FILM["c"]:
Do(%fixPLS1 = fixG1):
end use;
Permuta\303\247\303\265es admitindo 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 fixos entre todas as permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EuWzEwMiwxMDIsMTUzXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktRi82KFEibkYnRjJGNUY4RjtGPkYyRjVGOEY7LyUscGxhY2Vob2xkZXJHRjdGPi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjJGOEY7L0Y/USdub3JtYWxGJw== .use DocumentTools in
TITRE := FIX2_P:
T0 := "i":
PAR := FIX2_E[T0]:
n0 := parse(GetProperty(fixTAR1,'value')):
fix := parse(GetProperty(fixTAR3,'value')):
U0 := [{seq(k,k=1..n0)},fix]:
E0 := PAR[3]:
PAR := [n0,U0,E0]:
FILM := TITRE(PAR,T0):
fixG2 := FILM["g"]:
fixC2 := FILM["c"]:
Do(%fixPLS1 = fixG2):
end use;
As permuta\303\247\303\265es cujos pontos fixos formam a totalidade
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 .(i) Nb de permuta\303\247\303\265es de \342\204\260.
ii) Nb de permuta\303\247\303\265es de \342\204\260 que preservam a parti\303\247\303\243o 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 .
1. Trocamos as letras da palavra BAOBAB.
Nb de permuta\303\247\303\265es que a mant\303\252m.2. 7 pessoas discern\303\255veis devem ser armazenadas on-line, incluindo 4 franceses, 3 alem\303\243es e 2 italianos.
N\303\272mero de maneiras de proceder nos seguintes casos:
(i) Os franceses est\303\243o todos \303\240 direita e os italianos est\303\243o todos \303\240 esquerda.
(ii) Pessoas da mesma nacionalidade permanecem juntas.
Retour<Text-field bookmark="ex12" style="Heading 3" foreground="[153,51,102]" italic="false" layout="Heading 3"><Font foreground="[153,51,102]" encoding="UTF-8" italic="false">1.2. Parti\303\247\303\243o de um n\303\272mero inteiro</Font></Text-field><Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 1.2.1 : Parti\303\247\303\243o de um n\303\272mero inteiro 1</Font></Text-field>
1. 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.N\303\272mero de parti\303\247\303\265es de suite en suite 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 cardeal 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 .2. Estamos desenvolvendo 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 .Coeficiente de 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 .
Retour<Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 1.2.2 : Parti\303\247\303\243o de um n\303\272mero inteiro 2</Font></Text-field>
1. A equipe policial de uma vila possui 8 pessoas discern\303\255veis, que devem ser divididas em 3 oficiais de patrulha, 2 oficiais de guarda e 3 oficiais de reserva.
N\303\272mero de distribui\303\247\303\265es.2. Nb de anagramas discern\303\255veis da palavra ABRACADABRA.
Retour<Text-field bookmark="ex13" style="Heading 3" foreground="[153,51,102]" italic="false" layout="Heading 3"><Font foreground="[153,51,102]" encoding="UTF-8" italic="false">1.3. Decomposi\303\247\303\243o de um n\303\272mero inteiro</Font></Text-field><Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 1.3.1 : Decomposi\303\247\303\243o de um n\303\272mero inteiro 1</Font></Text-field>
1. Observamos \342\204\260 todas as su\303\255tes 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 de n\303\272meros inteiros positivos ou nulos de determinada soma 5.
(i) Nb de sequ\303\252ncias de \342\204\260.(ii) Idem saber que 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 .2. Estamos desenvolvendo 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 .(i) Nb de mon\303\264mios distintos 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 .(ii) Nb de mon\303\264mios distintos 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 .
Retour<Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 1.3.2 : Decomposi\303\247\303\243o de um n\303\272mero inteiro 2</Font></Text-field>
1. Oito professores indistingu\303\255veis s\303\243o designados para 4 escolas discern\303\255veis.
(i) N\303\272mero de tarefas.
(ii) N\303\272mero de tarefas se a escola 2 receber 3 professores.2. Queremos investir 1.000 \342\202\254 em 3 investimentos.
(i) Nb de possibilidades.
(ii) Nb de possibilidades sabendo que queremos investir pelo menos \342\202\254 100 por investimento.
Retour<Text-field bookmark="ex2" style="Heading 2" foreground="[153,51,102]" layout="Heading 2"><Font foreground="[153,51,102]">2. Outros problemas</Font></Text-field><Text-field bookmark="ex21" style="Heading 3" foreground="[153,51,102]" italic="false" layout="Heading 3"><Font foreground="[153,51,102]" italic="false">2.1. Caminho em uma rede</Font></Text-field><Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" italic="false">Ex 2.1.1 : Caminho em uma rede 1</Font></Text-field>
1. Na rede \342\204\225 \303\227 \342\204\225, observamos \342\204\260 o conjunto de caminhos de comprimento 8 que come\303\247am em (0, 0).
(i) Nb de caminhos em \342\204\260 que terminam em (5, 3).
(ii) Nb dos caminhos de \342\204\260 que terminam em (5, 3) e que passam por (2, 1).
(iii) Nb de caminhos que passam (5, 3).2. Na rede \342\204\225 \303\227 \342\204\225 \303\227 \342\204\225, observamos \342\204\260 o conjunto de caminhos que come\303\247am em (0, 0, 0) e terminam em (3, 5, 4).
Nb de trajetos de \342\204\260.
Uma part\303\255cula come\303\247a em 0 e caminha em \342\204\244: notamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RjhGRA==todo o comprimento anda LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JlEiMkYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnRi9GMi9GNlEnaXRhbGljRidGL0YyRjU= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi9RIj1GJ0Y1RjhGRC8lJmZlbmNlR0Y6LyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHRjovJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y6LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlxvLUkrbXVuZGVyb3ZlckdGJDYnLUZPNi9RJiZTdW07RidGNUY4RkQvRlNRJnVuc2V0RicvRlVGZm8vRldGNC9GWUZmby9GZW5GNC9GZ25GNC9GaW5GZm8vRltvUSYwLjBlbUYnL0Zeb1EsMC4xNjY2NjY3ZW1GJy1GIzYoLUYvNidRImtGJ0YyRjVGOEY7Rk4tRkE2JlEiMUYnRjVGOEZERjVGOEZELUYjNipGQC1GTzYvUSJ+RidGNUY4RkRGUkZURlZGWEZaRmZuRmhuRl1wL0Zeb0ZecEZGRjJGNUY4RklGO0Zobi8lLGFjY2VudHVuZGVyR0Y6RltxLUYsNiUtRi82J1Eic0YnRjJGNUY4RjstRiM2KEZjcEYyRjVGOEZJRjtGS0Y1RjhGRA== para qualquer caminhada 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 .D\303\252 ao cardeal os seguintes conjuntos:(i) Juntos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiVUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RjhGRA== caminhos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYoLUkjbW5HRiQ2JVEiMkYnRjUvRjlRJ25vcm1hbEYnLUYvNiZRIm5GJ0YyRjVGOEYyRjUvJSxwbGFjZWhvbGRlckdGNEY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNUZB tal como LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0Y1RjhGRC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2L1EiPUYnRjVGOEZELyUmZmVuY2VHRjovJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGam4tRkE2JkZLRjVGOEZERjVGOEZE .(ii) Juntos 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 caminhos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiotSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0LyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnRjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RjhGS0ZE tal como 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 para todo 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 et 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 .(iii) Juntos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0Y1RjhGRC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGOEZE caminhos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiotSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0LyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnRjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RjhGS0ZE tal como 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 para todo 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 et 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 .(iv) Juntos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiQkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNictSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0Y1RjhGRC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGOEZE caminhos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiotSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJy1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0LyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnRjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RjhGS0ZE tal como 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 para todo 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 et 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 .
RetourJSFH<Text-field bookmark="ex23" style="Heading 3" foreground="[153,51,102]" italic="false" layout="Heading 3"><Font foreground="[153,51,102]" encoding="UTF-8" italic="false">2.3. Permuta\303\247\303\243o e pontos fixos</Font></Text-field><Text-field style="Heading 4" foreground="[153,51,102]" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" encoding="UTF-8" italic="false">Ex 2.3.1 : Permuta\303\247\303\243o e pontos fixos 1</Font></Text-field>
N\303\263s damos 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 .(i) Indique o n\303\272mero de permuta\303\247\303\265es de \342\204\260 sem pontos fixos.
(ii) Indique o n\303\272mero de permuta\303\247\303\265es de \342\204\260 com um \303\272nico ponto fixo.
(iii) D\303\252 o n\303\272mero de permuta\303\247\303\265es de \342\204\260 com dois pontos fixos exatamente.
N\303\263s usamos a conven\303\247\303\243o 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 si LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPEYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEiMEYnRjJGNUY/RjJGNUY/ ou se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPkYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNidRInNGJ0YvRjJGNUY4RjJGNUY/ .Demonstre de maneira combinat\303\263ria e / ou calculativa as seguintes identidades:(i) 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(ii) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYvLUkrbXVuZGVyb3ZlckdGJDYnLUkjbW9HRiQ2L1EmJlN1bTtGJy8lK2ZvcmVncm91bmRHUS1bMTUzLDUxLDEwMl1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4xNjY2NjY3ZW1GJy1GIzYoLUkjbWlHRiQ2J1Eia0YnLyUnaXRhbGljR0ZCRjJGNS9GOVEnaXRhbGljRictRi82L1EiPUYnRjJGNUY4L0Y8RjcvRj9GNy9GQUY3L0ZERjcvRkZGNy9GSEY3L0ZKRjcvRkxRLDAuMjc3Nzc3OGVtRicvRk9GYG8tSSNtbkdGJDYmUSIwRidGMkY1RjhGMkY1RjgtRiM2KC1GVDYnUSJuRidGV0YyRjVGWUZXRjJGNS8lLHBsYWNlaG9sZGVyR0ZCRllGXm8vJSxhY2NlbnR1bmRlckdGNy1GLzYvUSJ+RidGMkY1RjhGaG5GaW5Gam5GW29GXG9GXW9GXm9GSy9GT0ZNLUklbXN1cEdGJDYlLUkobWZlbmNlZEdGJDYmLUYjNictRi82L1EqJnVtaW51czA7RidGMkY1RjhGaG5GaW5Gam5GW29GXG9GXW9GXm8vRkxRLDAuMjIyMjIyMmVtRicvRk9GX3EtRmNvNiZRIjFGJ0YyRjVGOEYyRjVGOEYyRjVGOC1GIzYoRlNGV0YyRjVGW3BGWS8lMXN1cGVyc2NyaXB0c2hpZnRHRmVvRl9wLUYvNi9RJyZzZG90O0YnRjJGNUY4RmhuRmluRmpuRltvRlxvRl1vRl5vRktGYnAtRmdwNigtRiM2JS1JJm1mcmFjR0YkNiktRiM2KUZob0ZXRjJGNUZbcC8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGQkZZRmRxLyUubGluZXRoaWNrbmVzc0dGZW8vJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGanIvJSliZXZlbGxlZEdGN0YyRjVGOEYyRjVGOC9JK21zZW1hbnRpY3NHRiRRKWJpbm9taWFsRidGX3NGX3BGZW5GYm9GX3BGMkY1Rjg= (iii) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYyLUkrbXVuZGVyb3ZlckdGJDYnLUkjbW9HRiQ2L1EmJlN1bTtGJy8lK2ZvcmVncm91bmRHUS1bMTUzLDUxLDEwMl1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4xNjY2NjY3ZW1GJy1GIzYoLUkjbWlHRiQ2J1Eia0YnLyUnaXRhbGljR0ZCRjJGNS9GOVEnaXRhbGljRictRi82L1EiPUYnRjJGNUY4L0Y8RjcvRj9GNy9GQUY3L0ZERjcvRkZGNy9GSEY3L0ZKRjcvRkxRLDAuMjc3Nzc3OGVtRicvRk9GYG8tSSNtbkdGJDYmUSIxRidGMkY1RjhGMkY1RjgtRiM2KC1GVDYnUSJuRidGV0YyRjVGWUZXRjJGNS8lLHBsYWNlaG9sZGVyR0ZCRllGXm8vJSxhY2NlbnR1bmRlckdGNy1GLzYvUSJ+RidGMkY1RjhGaG5GaW5Gam5GW29GXG9GXW9GXm9GSy9GT0ZNRlNGX3AtRi82L1EnJnNkb3Q7RidGMkY1RjhGaG5GaW5Gam5GW29GXG9GXW9GXm9GS0ZicC1JKG1mZW5jZWRHRiQ2KC1GIzYlLUkmbWZyYWNHRiQ2KS1GIzYpRmhvRldGMkY1RltwLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0ZCRlktRiM2KEZTRldGMkY1RltwRlkvJS5saW5ldGhpY2tuZXNzR1EiMEYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmlxLyUpYmV2ZWxsZWRHRjdGMkY1RjhGMkY1RjgvSSttc2VtYW50aWNzR0YkUSliaW5vbWlhbEYnRl5yRl9wRmVuRl9wRmhvRl9wLUklbXN1cEdGJDYlLUZjbzYmUSIyRidGMkY1RjgtRiM2KkZoby1GLzYvUSgmbWludXM7RidGMkY1RjhGaG5GaW5Gam5GW29GXG9GXW9GXm8vRkxRLDAuMjIyMjIyMmVtRicvRk9GXXNGYm9GV0YyRjVGW3BGWS8lMXN1cGVyc2NyaXB0c2hpZnRHRmZxRl9wRjJGNUY4 (iv) 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(v) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkrbXVuZGVyb3ZlckdGJDYnLUkjbW9HRiQ2L1EmJlN1bTtGJy8lK2ZvcmVncm91bmRHUS1bMTUzLDUxLDEwMl1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4xNjY2NjY3ZW1GJy1GIzYoLUkjbWlHRiQ2J1Eia0YnLyUnaXRhbGljR0ZCRjJGNS9GOVEnaXRhbGljRictRi82L1EiPUYnRjJGNUY4L0Y8RjcvRj9GNy9GQUY3L0ZERjcvRkZGNy9GSEY3L0ZKRjcvRkxRLDAuMjc3Nzc3OGVtRicvRk9GYG8tSSNtbkdGJDYmUSIwRidGMkY1RjhGMkY1RjgtRiM2KC1GVDYnUSJuRidGV0YyRjVGWUZXRjJGNS8lLHBsYWNlaG9sZGVyR0ZCRllGXm8vJSxhY2NlbnR1bmRlckdGNy1GLzYvUSJ+RidGMkY1RjhGaG5GaW5Gam5GW29GXG9GXW9GXm9GSy9GT0ZNLUklbXN1cEdGJDYlLUkobWZlbmNlZEdGJDYoLUYjNiUtSSZtZnJhY0dGJDYpLUYjNipGX3BGaG9GV0YyRjVGW3AvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRkJGWS1GIzYoRlNGV0YyRjVGW3BGWS8lLmxpbmV0aGlja25lc3NHRmVvLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmhxLyUpYmV2ZWxsZWRHRjdGMkY1RjhGMkY1RjgvSSttc2VtYW50aWNzR0YkUSliaW5vbWlhbEYnRl1yLUYjNigtRmNvNiZRIjJGJ0YyRjVGOEZXRjJGNUZbcEZZLyUxc3VwZXJzY3JpcHRzaGlmdEdGZW9GX3BGZW4tRiM2Jy1GVDYjUSFGJy1GZ3A2KC1GIzYlLUZccTYpLUYjNitGYnJGX3BGaG9GV0YyRjVGW3BGYHFGWUZmb0ZkcUZmcUZpcUZbckYyRjVGOEYyRjVGOEZdckZdckYyRjVGOEZfcEYyRjVGOA== 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