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112 \pard\plain\ltrpar\ql\intbl\itap1\cell{\*\abiendcell}{\*\abicellprops left-attach:0; right-attach:1; top-attach:5; bot-attach:6; bot-style:solid; bot-thickness:0.006250in; left-style:solid; left-thickness:0.006250in; right-style:solid; right-thickness:0.006250in; top-style:solid; top-thickness:0.006250in}\row
113 \trowd \itap1\trgaph7\trql\trrh0\trleft-65\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \clvertalt\cltxlrtb\clbrdrt\brdrs\brdrw9 \clbrdrl\brdrs\brdrw9 \clbrdrb\brdrs\brdrw9 \clbrdrr\brdrs\brdrw9 \cellx8576
114 \pard\plain\ltrpar\ql\s28\sl240\slmult1\intbl\itap1{\cs28\f0\fs24\lang11274{\*\listtag0}\abinodiroverride\ltrch Segunda entrega}\cell{\*\abiendcell}{\*\abicellprops left-attach:0; right-attach:1; top-attach:6; bot-attach:7; bot-style:solid; bot-thickness:0.006250in; left-style:solid; left-thickness:0.006250in; right-style:solid; right-thickness:0.006250in; top-style:solid; top-thickness:0.006250in}\row
115 \trowd \itap1\trgaph7\trql\trrh0\trleft-65\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \clvertalt\cltxlrtb\clbrdrt\brdrs\brdrw9 \clbrdrl\brdrs\brdrw9 \clbrdrb\brdrs\brdrw9 \clbrdrr\brdrs\brdrw9 \cellx8576
116 \pard\plain\ltrpar\ql\intbl\itap1{\f0\fs24\lang11274{\*\listtag0}Corrector}\cell{\*\abiendcell}{\*\abicellprops left-attach:0; right-attach:1; top-attach:7; bot-attach:8; bot-style:solid; bot-thickness:0.006250in; left-style:solid; left-thickness:0.006250in; right-style:solid; right-thickness:0.006250in; top-style:solid; top-thickness:0.006250in}\row
117 \trowd \itap1\trgaph7\trql\trrh0\trleft-65\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \clvertalt\cltxlrtb\clbrdrt\brdrs\brdrw9 \clbrdrl\brdrs\brdrw9 \clbrdrb\brdrs\brdrw9 \clbrdrr\brdrs\brdrw9 \cellx8576
118 \pard\plain\ltrpar\ql\intbl\itap1{\f0\fs24\lang11274{\*\listtag0}Observaciones}{\f0\fs24\lang11274{\*\listtag0}\par}
119 \pard\plain\ltrpar\ql\s28\sl240\slmult1\intbl\itap1{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
120 \pard\plain\ltrpar\ql\s28\sl240\slmult1\intbl\itap1{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
121 \pard\plain\ltrpar\ql\s28\sl240\slmult1\intbl\itap1{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
122 \pard\plain\ltrpar\ql\s28\sl240\slmult1\intbl\itap1{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
123 \pard\plain\ltrpar\ql\s28\sl240\slmult1\intbl\itap1{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
124 \pard\plain\ltrpar\ql\s28\sl240\slmult1\intbl\itap1{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
125 \pard\plain\ltrpar\ql\s28\sl240\slmult1\intbl\itap1{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
126 \pard\plain\ltrpar\ql\s28\sl240\slmult1\intbl\itap1\cell{\*\abiendcell}\row}{\*\abiendtable}
127 \pard\plain\ltrpar\ql\itap0{\f0\fs24\lang11274{\*\listtag0}\par}
128 \pard\plain\ltrpar\ql\sl240\slmult1\itap0{\f0\fs24\lang11274{\*\listtag0}\par}
129 \pard\plain\ltrpar\ql\sl240\slmult1\itap0{\f0\fs24\lang11274{\*\listtag0}\par}
130 \pard\plain\ltrpar\ql\sl240\slmult1\itap0{\f0\fs24\lang11274{\*\listtag0}\par}
131 \pard\plain\ltrpar\ql\sl240\slmult1\itap0{\f0\fs24\lang11274{\*\listtag0}\par}
132 \pard\plain\ltrpar\ql\sl240\slmult1\itap0{\f0\fs24\lang11274{\*\listtag0}\par}
133 \pard\plain\ltrpar\ql\sl240\slmult1\itap0{\f0\fs24\lang11274{\*\listtag0}\par}
134 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
135 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
136 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f0\fs24\lang11274{\*\listtag0}\par}
137 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs24\b\lang11274{\*\listtag0}\abinodiroverride\ltrch Consigna:}{\cs28\f1\fs24\b\lang11274{\*\listtag0}\par}
138 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch 1.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}Resolver el problema por backtracking.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
139 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\tab a}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) Calcular el orden.}{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\par}
140 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}2.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}Programar el algoritmo de Gale}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} & }{\cs28\f1\fs20\lang11274{\*\listtag0}Shapley para resolver el problema.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
141 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\tab a}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) Calcular el orden.}{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\par}
142 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\tab b}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) Justificar que la asignaci\'f3n es completa y estable, es decir que el algoritmo no deja personas solteras y la asignaci\'f3n realizada es estable.}{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\par}
143 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\tab c}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) Justificar que el algoritmo termina siempre.}{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\par}
144 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\tab d}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) \'bfEl algoritmo es sim\'e9trico? Justificar.}{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\par}
145 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\tab e}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) Si se les permitiera a las mujeres cambiar la lista de de preferencia durante la ejecuci\'f3n del algoritmo, como podr\'eda hacer una mujer dada, para conseguir el hombre \'f3ptimo. Explicar.}{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\par}
146 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\tab f }{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) De que estrategia algor\'edtmica se trata. Justificar.}{\cs28\f1\fs20\i\lang11274\ltrch\abiltr{\*\listtag0}\par}
147 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}\par}
148 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}1}{\cs28\f1\fs20\b\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
149 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab a}{\cs28\f1\fs20\b\lang11274\ltrch\abiltr{\*\listtag0}) }{\cs28\f1\fs20\b\lang11274{\*\listtag0}Orden del Backtracking para un problema de NxN}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
150 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
151 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch El algoritmo de backtracking,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}en el peor caso,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}prueba todas las combinaciones posibles de parejas,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}es decir,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}debe evaluar P}{\cs28\f1\fs20\sub\lang11274{\*\listtag0}N}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} = }{\cs28\f1\fs20\lang11274{\*\listtag0}N}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}! }{\cs28\f1\fs20\lang11274{\*\listtag0}parejas posibles,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}pero en el camino para llegar a tener las N parejas,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}debe hacer evaluaciones intermedias para determinar la estabilidad de las parejas formadas hasta el momento.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}Es decir,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}por cada una de esas permutaciones,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}debo hacer N evaluaciones de estabilidad de las parejas,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}quedando entonces N*N}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}! }{\cs28\f1\fs20\lang11274{\*\listtag0}evaluaciones de estabilidad.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
152 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
153 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch La pareja sea estable si:}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
154 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
155 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Para todas las mujeres que el candidato prefiere m\'e1s que a la candidata}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} (}{\cs28\f1\fs20\lang11274{\*\listtag0}y que est\'e1n comprometidas,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}puesto que sino el candidato ya las hubiera elegido}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f1\fs20\lang11274{\*\listtag0},}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}no prefieren al candidato por sobre su pareja actual.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
156 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
157 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch An\'e1logamente,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}para todos los hombres que la canidata prefiere m\'e1s que al candidato}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} (}{\cs28\f1\fs20\lang11274{\*\listtag0}y que est\'e1n comprometidos,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}puesto que sino la candidata ya los hubiera elegido}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f1\fs20\lang11274{\*\listtag0},}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}no prefieren la candidata por sobre su pareja actual.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
158 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
159 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Esta verificaci\'f3n es sim\'e9trica sobre las listas de preferencias del hombre y la mujer candidatos.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
160 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
161 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch bool ParejaEstable(Candidato,}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f2\fs20\lang11274{\*\listtag0}Candidata}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
162 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \{}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
163 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab ParejaEstable}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} = }{\cs28\f2\fs20\lang11274{\*\listtag0}verdadero}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0};}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
164 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\tab iM}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} = }{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}Candidato.preferencias.inicio}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}();}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\tab }{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\par}
165 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\tab //}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f2\fs20\lang11274{\*\listtag0}Recorro todas las mujeres mejor posicionadas que la candidata}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
166 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\tab mientras ((iM<Candidata) && ParejaEstable)}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\par}
167 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\tab \{}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
168 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab //}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f2\fs20\lang11274{\*\listtag0}Si la mujer no est\'e1 soltera}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
169 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\tab si (iM->soltera())}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\par}
170 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\tab \{}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
171 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab \tab //}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f2\fs20\lang11274{\*\listtag0}Me fijo si me prefiere m\'e1s que al que tiene ahora}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
172 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\tab \tab RankingCandidato = iM.prefs.indice_de(Candidato);}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} // O(N)}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\par}
173 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\tab \tab RankingParejaActual}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} = }{\cs28\f2\fs20\lang11274{\*\listtag0}iM.prefs.indice_de(iM.pareja}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}());}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
174 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab \tab ParejaEstable}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} = }{\cs28\f2\fs20\lang11274{\*\listtag0}RankingCandidato}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} > }{\cs28\f2\fs20\lang11274{\*\listtag0}RankingParejaActual}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0};}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
175 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab \}}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
176 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab }{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
177 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab iM++}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0};}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
178 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab \}}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
179 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab //}{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f2\fs20\lang11274{\*\listtag0}Sim\'e9trico para los preferidos de la Candidata}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
180 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\tab ...\tab }{\cs28\f2\fs20\lang11274\ltrch\abiltr{\*\listtag0}\par}
181 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\}}{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
182 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f2\fs20\lang11274{\*\listtag0}\par}
183 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Recorrer la lista de candidatos es O(N}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f1\fs20\lang11274{\*\listtag0}.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}Y encontrar los \'edndices del candidato y de la pareja actual resultan ser O(N}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) }{\cs28\f1\fs20\lang11274{\*\listtag0}cada una,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}con lo cual suman entre ambas O}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}(}{\cs28\f1\fs20\lang11274{\*\listtag0}2}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}*}{\cs28\f1\fs20\lang11274{\*\listtag0}N}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f1\fs20\lang11274{\*\listtag0}.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}El anidamiento hace multiplicar los \'f3rdenes,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}que resultan en O(N}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} * }{\cs28\f1\fs20\lang11274{\*\listtag0}2}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}*}{\cs28\f1\fs20\lang11274{\*\listtag0}N}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) ~= }{\cs28\f1\fs20\lang11274{\*\listtag0}O(N}{\cs28\f1\fs20\super\lang11274{\*\listtag0}2}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f1\fs20\lang11274{\*\listtag0}.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
184 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
185 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Como es an\'e1loga la b\'fasqueda de esta condici\'f3n para los hombres que prefiere la candidata,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}el orden es tambi\'e9n O(N}{\cs28\f1\fs20\super\lang11274{\*\listtag0}2}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f1\fs20\lang11274{\*\listtag0},}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}que sumado al reci\'e9n calculado resulta en O}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}(}{\cs28\f1\fs20\lang11274{\*\listtag0}2}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}*}{\cs28\f1\fs20\lang11274{\*\listtag0}N}{\cs28\f1\fs20\super\lang11274{\*\listtag0}2}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} ) ~= }{\cs28\f1\fs20\lang11274{\*\listtag0}O(N}{\cs28\f1\fs20\super\lang11274{\*\listtag0}2}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f1\fs20\lang11274{\*\listtag0}.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
186 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
187 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Por lo tanto,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}el orden total del algoritmo es O(N}{\cs28\f1\fs20\super\lang11274{\*\listtag0}3}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}*}{\cs28\f1\fs20\lang11274{\*\listtag0}N}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}!)}{\cs28\f1\fs20\lang11274{\*\listtag0}.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
188 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
189 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\abinodiroverride\ltrch Verificaci\'f3n emp\'edrica del orden}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
190 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Como se puede ver,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}el orden parece crecer m\'e1s r\'e1pido incluso que una exponencial.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
191 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Ver figuras 1 y 2.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
192 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
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2447 20a8688a00c01a68020100001c8826100000c08168020100001c8826100000c0
2448 8168020100001cc890c4ad7a0000000ef3ff01242b7f1638a991090000000049
2449 454e44ae426082}}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
2450 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
2451 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
2452 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\abinodiroverride\ltrch 2}{\cs28\f1\fs20\b\lang11274\ltrch\abiltr{\*\listtag0})}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
2453 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab a}{\cs28\f1\fs20\b\lang11274\ltrch\abiltr{\*\listtag0}) }{\cs28\f1\fs20\b\lang11274{\*\listtag0}An\'e1lisis de orden del algoritmo Gale-Shapley implementado}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
2454 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
2455 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch En el c\'f3digo est\'e1n anotados todos los ordenes de cada algoritmo utilizando. Aqu\'ed entonces se ver\'e1n estos \'f3rdenes simplificando el c\'f3digo (escribiendo un pseudoc\'f3digo) para hacer m\'e1s f\'e1cil la lectura. Para hashing se construyo una tabla hash de tama\'f1o apropiado para el sistema a resolver (de manera de asegurar O(1) en las operaciones). La tabla de hash es abierta. Las operaciones de heap se implementaron sobre un array y son ambas (push y pop) O(log(N)).}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
2456 \pard\plain\ltrpar\ql\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
2457 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch Persona.cmp(Persona p1, Persona p2) // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2458 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2459 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch i1 = prefs_hash.get(p1.nombre); // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2460 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch i2 = prefs_hash.get(p2.nombre); // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2461 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2462 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (i1 < i2)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2463 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch return 1;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2464 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (i1 == i2)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2465 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch return 0;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2466 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch return -1;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2467 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2468 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2469 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch Persona.push_oferta(Persona p) // O(log(N))}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2470 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2471 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch heap_push(ofertas, p);}{\s49\f2\fs20\lang11274{\*\listtag0} // O(log(N))}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2472 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2473 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2474 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch Persona.pop_oferta() // O(log(N))}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2475 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2476 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch return heap_pop(ofertas);}{\s49\f2\fs20\lang11274{\*\listtag0} // O(log(N))}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2477 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2478 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2479 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch Persona.declarar_a(Persona p) // O(log(N))}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2480 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2481 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch estado = DECLARADO;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2482 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch pareja = p;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2483 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch p.push_oferta(this); // O(log(N))}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2484 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2485 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2486 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch Persona.comprometer_con(Persona p) // O(N) (es O(ofertas.size))}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2487 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2488 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // rompemos el compromiso, si hay}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2489 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (estado == COMPROMETIDO)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2490 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2491 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch pareja.estado = SOLTERO;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2492 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch pareja.pareja = 0;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2493 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch pareja.rechazos[this.nombre] = this; // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2494 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2495 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // nos comprometemos}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2496 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch estado = COMPROMETIDO;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2497 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch pareja = p;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2498 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch p.estado = COMPROMETIDO;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2499 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch p.pareja = this;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2500 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // si tenemos ofertas, las rechazamos}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2501 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch for (pretendiente in ofertas) // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2502 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2503 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch pretendiente.rechazos[this.nombre] = this; // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2504 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2505 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch ofertas.clear(); // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2506 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2507 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2508 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch GaleShapley.primera_ronda() // O(N}{\s49\f2\fs20\super\lang1034{\*\listtag0}2}{\s49\f2\fs20\lang1034{\*\listtag0})}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2509 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{ }{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2510 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch cant_comprometidos = 0;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2511 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch for (hombre in hombres) // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2512 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2513 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch hombre.declarar_a(hombre.prefs.front()); // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2514 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2515 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // En total es O(N)*(O(N) + O(log(N))) == O(N}{\s49\f2\fs20\super\lang1034{\*\listtag0}2}{\s49\f2\fs20\lang1034{\*\listtag0})}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2516 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch for (mujer in mujeres) // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2517 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2518 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (mujer.ofertas.empty()) // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2519 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch continue;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2520 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch Persona prometido = mujer.pop_oferta(); // O(log(N))}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2521 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch mujer.comprometer_con(prometido); // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2522 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch cant_comprometidos++;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2523 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2524 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \} }{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2525 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2526 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch GaleShapley.nesima_ronda() // O(N}{\s49\f2\fs20\super\lang1034{\*\listtag0}2}{\s49\f2\fs20\lang1034{\*\listtag0})}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2527 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2528 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // Todo el for es O(N}{\s49\f2\fs20\super\lang1034{\*\listtag0}2}{\s49\f2\fs20\lang1034{\*\listtag0})}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2529 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch for (hombre in hombres) // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2530 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2531 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (hombre.estado == COMPROMETIDO)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2532 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch continue;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2533 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch for (mujer in hombre.prefs) // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2534 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2535 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (hombre.rechazos[mujer.nombre] != NULL) // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2536 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // Si est\'e1}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2537 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch continue;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2538 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch break;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2539 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2540 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch hombre.declarar_a(mujer); // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2541 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2542 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // Todo el for es O(N}{\s49\f2\fs20\super\lang1034{\*\listtag0}2}{\s49\f2\fs20\lang1034{\*\listtag0})}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2543 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch for (mujer in mujeres) // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2544 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2545 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (mujer.ofertas.empty()) // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2546 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch continue;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2547 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch Persona hombre = mujer.pop_oferta(); // O(log(N))}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2548 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (mujer.estado == COMPROMETIDO)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2549 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2550 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (mujer.cmp(mujer.pareja, hombre) < 0) // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2551 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2552 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // la oferta es mejor, rompemos el compromiso}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2553 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // No cambiamos la cantidad de comprometidos}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2554 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // porque estamos cambiando uno por otro}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2555 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch mujer.comprometer_con(hombre); // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2556 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2557 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch else}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2558 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2559 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // estamos mejor con nuestra pareja actual,}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2560 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // asi que no hacemos mas que rechazar a }{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2561 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // todos (incluyendo el mejor candidato)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2562 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch for (oferta in ofertas) // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2563 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch oferta.rechazos[mujer.nombre] = mujer;//O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2564 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch hombre.rechazos[mujer.nombre] = mujer;//O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2565 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch mujer.ofertas.clear(); // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2566 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2567 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2568 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch else}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2569 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2570 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch mujer.comprometer_con(hombre); // O(N)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2571 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch cant_comprometidos++;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2572 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2573 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2574 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2575 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2576 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch GaleShapley.todos_h_comprometidos() // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2577 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2578 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch if (cant_comprometidos == capacidad)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2579 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch return true}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2580 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch return false;}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2581 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2582 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2583 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch GaleShapley.casamentear() // O(N}{\s49\f2\fs20\super\lang1034{\*\listtag0}4}{\s49\f2\fs20\lang1034{\*\listtag0})}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2584 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \{}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2585 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch primera_ronda(); // O(N}{\s49\f2\fs20\super\lang1034{\*\listtag0}2}{\s49\f2\fs20\lang1034{\*\listtag0})}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2586 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // El bucle podr\'eda correrse (haciendo una estimaci\'f3n bruta y}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2587 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch // poco realista) N*N veces, as\'ed que ser\'eda en total O(N}{\s49\f2\fs20\super\lang1034{\*\listtag0}4}{\s49\f2\fs20\lang1034{\*\listtag0})}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2588 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch while (!todos_h_comprometidos()) // O(1)}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2589 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch nesima_ronda(); // O(N}{\s49\f2\fs20\super\lang1034{\*\listtag0}2}{\s49\f2\fs20\lang1034{\*\listtag0})}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2590 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f2\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch \}}{\s49\f2\fs20\lang1034{\*\listtag0}\par}
2591 \pard\plain\ltrpar\ql\s49\sl240\slmult1\itap0{\s49\f0\fs24\lang1034{\*\listtag0}\par}
2592 \pard\plain\ltrpar\qj\s49\sl240\slmult1\itap0{\cs28\f1\fs20\lang1034{\*\listtag0}\abinodiroverride\ltrch Es decir, acotando de forma }{\cs28\f1\fs20\b\lang1034{\*\listtag0}mu}{\s49\f1\fs20\b\lang1034{\*\listtag0}y pesimista}{\s49\f1\fs20\lang1034{\*\listtag0} como lo estamos haciendo (como se ve en el pseudoc\'f3digo arriba muchas veces el orden es bastante menor a O(N) pero se lo considera O(N) para aproximar), el algoritmo resultar\'eda O(N}{\s49\f1\fs20\super\lang1034{\*\listtag0}4}{\s49\f1\fs20\lang1034{\*\listtag0}). Sin embargo es una mala acotaci\'f3n, ya que sabemos que a medida que el algoritmo avanza, cada vez son menos extensas las listas auxiliares a recorrer (como los ofrecidos) y es muy pero muy poco probable que el bucle principal se ejecute N}{\s49\f1\fs20\super\lang1034{\*\listtag0}2}{\s49\f1\fs20\lang1034{\*\listtag0} veces, si no muchas menos y como se ve posteriormente en el an\'e1lisis emp\'edrico, resulta muy aproximado a O(N}{\s49\f1\fs20\super\lang1034{\*\listtag0}2}{\s49\f1\fs20\lang1034{\*\listtag0}) (se puede modelar perfectamente el caso promedio con una curva de regresi\'f3n polin\'f3mica de orden 2).}{\s49\f1\fs20\lang1034{\*\listtag0}\par}
2593 \pard\plain\ltrpar\qj\s49\sl240\slmult1\itap0{\s49\f1\fs20\lang1034{\*\listtag0}\par}
2594 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\abinodiroverride\ltrch Verificaci\'f3n emp\'edrica del orden}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
2595 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Se observa claramente como los resultados dan muy dispersos, esto se debe a que el tiempo que tarda el algoritmo en resolverse varia bastante con el tipo de problema, ya que puede encontrar una soluci\'f3n r\'e1pidamente o tener que hacer muchas iteraciones hasta encontrar la mejor pareja estable posible dentro de las }{\cs28\f1\fs20\i\lang11274{\*\listtag0}golosas}{\cs28\f1\fs20\lang11274{\*\listtag0} posibilidades del algoritmo.}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
2596 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Ver figura 3.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
2597 \pard\plain\ltrpar\qc\s28\sl240\slmult1\itap0{\*\shppict{\pict\pngblip\picw641\pich993\picwgoal12820\picscalex99\pichgoal19860\picscaley99
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4771 7a544f444444a49bf9fff7196c6a341ffb830000000049454e44ae426082}}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4772 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4773 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab b) Justificar que la asignaci\'f3n es completa y estable, es decir que el algoritmo no deja personas solteras y la asignaci\'f3n realizada es estable.}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
4774 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4775 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Una forma simple de plantear el funcionamiento del algoritmo es la siguiente:}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4776 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch los hombres van proponi\'e9ndose a las mujeres seg\'fan su orden de preferencia, y las mujeres de sus ofertas elijen siempre la mejor, rechazando a todos los dem\'e1s.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4777 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4778 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Con esto en mente, podemos ver que el hombre siempre se queda con la mejor mujer que no lo rechaz\'f3; mientras que la mujer se queda con el mejor hombre que se le propuso.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4779 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4780 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch Esto nos garantiza una asignaci\'f3n estable, dado que para cualquier mujer sabemos que todos los hombres que ella preferir\'eda por sobre su pareja no est\'e1n interesados en ella por sobre su pareja actual; y que para cualquier hombre todas las mujeres que el preferir\'eda por sobre su pareja lo han rechazado.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4781 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4782 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch El algoritmo no deja personas solteras porque al buscar parejas estables, por empezar que cualquier mujer que al menos tenga una oferta ya no sera soltera; pero adem\'e1s siempre para cualquier mujer habr\'e1 un hombre que o bien la prefiera por ser su mejor opci\'f3n, o la prefiera porque todas sus mejores opciones lo han rechazado, y por lo tanto toda mujer recibir\'e1 al menos una oferta.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4783 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4784 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4785 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab c) Justificar que el algoritmo termina siempre.}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
4786 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4787 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch En cada ronda el algoritmo se va "acercando" a una soluci\'f3n estable. Esto lo podemos ver pensando en que cuando un hombre se compromete, no seguir\'e1 buscando pareja (a menos que el compromiso lo rompa la mujer por recibir una oferta mejor, pero la cantidad de hombres comprometidos no cambia en este caso; y aparte sabemos que una vez deshecho un compromiso no se puede volver a hacer). Al ir iterando, la cantidad de hombres comprometidos no puede hacerse mayor, y de hecho necesariamente va a ir creciendo (debido a que no se pueden rehacer los compromisos deshechos), hasta que alcanza la cantidad total de}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4788 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch hombres y el algoritmo termina.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4789 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4790 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4791 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab d) \'bfEl algoritmo es sim\'e9trico? Justificar.}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
4792 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4793 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch No, el algoritmo es asim\'e9trico, puesto que seg\'fan que sexo dejemos hacer las ofertas (y por ende quien decide si las acepta o no) es el resultado final.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4794 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\abinodiroverride\ltrch En ambos casos los resultados ser\'e1n estables, pero pueden ser distintos; de hecho es com\'fan que esto ocurra cuando se invierten las listas.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4795 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4796 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4797 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274{\*\listtag0}\abinodiroverride\ltrch \tab e}{\cs28\f1\fs20\b\lang11274\ltrch\abiltr{\*\listtag0}) \'bf}{\cs28\f1\fs20\b\lang11274{\*\listtag0}C\'f3mo conseguir al hombre deseado cambiando la lista de preferencias}{\cs28\f1\fs20\b\lang11274\ltrch\abiltr{\*\listtag0}?}{\cs28\f1\fs20\b\lang11274{\*\listtag0}\par}
4798 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274\ltrch\abiltr{\*\listtag0}\par}
4799 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}Supongamos que Eva quiere conseguir a Ad\'e1n y puede mentir cuando se le pregunta por sus preferencias.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}Lo que Eva puede hacer tomar registro de todos los hombres que se le propusieron.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}Supongamos que en la primer vuelta se le propusieron Pedro y Segundo y ella se qued\'f3 comprometida con Pedro dado que \'e9l la prefer\'eda m\'e1s que Segundo y ella m\'e1s que a Segundo.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}Entonces Eva en la segunda vuelta mueve a Segundo al tope de su lista de preferencias,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}con lo cual en la segunda vuelta pasa a quedar comprometida con Segundo y esto hace que la mujer con quien Segundo}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}estaba comprometida quede libre y que Pedro tome a otra mujer,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}que no necesariamente va a ser la misma.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}En este caso despu\'e9s de la segunda vuelta,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}cuando Eva qued\'f3 comprometida con Segundo,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}ella otra vez tom\'f3 nota de todos los candidatos que se le propusieron.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}A la pr\'f3xima vuelta,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}elige a un candidato de estos y va de esta forma buscando lograr que se le proponga Ad\'e1n repitiendo su estrategia.}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}Puede pasar que de esta forma Ad\'e1n no llegue a declar\'e1rsele,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}pero es una forma posible que Eva tiene de lograr su objetivo.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4800 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4801 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}\tab }{\cs28\f1\fs20\b\lang11274\ltrch\abiltr{\*\listtag0}f) \'bfDe qu\'e9 estrategia algor\'edtmica se trata?}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}\par}
4802 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\b\lang11274\ltrch\abiltr{\*\listtag0}\par}
4803 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}El algortmo de Gale}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} & }{\cs28\f1\fs20\lang11274{\*\listtag0}Shapley se trata de un algoritmo goloso,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}ya que para cada momento}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} (}{\cs28\f1\fs20\lang11274{\*\listtag0}en cada iteraci\'f3n}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0}) }{\cs28\f1\fs20\lang11274{\*\listtag0}toma la mejor soluci\'f3n posible,}{\cs28\f1\fs20\lang11274\ltrch\abiltr{\*\listtag0} }{\cs28\f1\fs20\lang11274{\*\listtag0}esperando que la soluci\'f3n final sea la mejor.}{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4804 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f1\fs20\lang11274{\*\listtag0}\par}
4805 \pard\plain\ltrpar\qj\s28\sl240\slmult1\itap0{\cs28\f0\fs24\lang1034{\*\listtag0}\par}}
projects / z.facultad / 75.29 / susanita.git / blob