Reto Top Coder #1

Inspirado en el conocido sistema de cifrado RSA ( se propuso el siguiente enunciado a resolver:


Una conocida tienda online desea implementar un método seguro para compras por internet y para ello se asoció con una entidad financiera que provee dispositivos que generan códigos cada minuto. Los códigos están sincronizados con un servidor y asociados a la cuenta de cada usuario. Los códigos están conformados por algunos dígitos constantes, otros variables, son únicos por usuario y tienen las siguientes características:

    • Son códigos de 8 o 10 dígitos.
    • El producto de las 02 primeras cifras (números aleatorios) es igual al 3er y 4to dígito (00,01,02…81).
    • La 5ta cifra es igual a la cantidad de vocales distintas de su primer nombre.
    • La 6ta cifra es un número equivalente a la última letra del 2do apellido según la siguiente tabla:























































    • La sumatoria de las cifras de la fecha de nacimiento del usuario es igual a los últimos dígitos del código.


Nombre usuario: Alberto Rodrigo Bertelo Mansilla
Fecha Nacimiento (>=18 años): 29/09/1995

1er aleatorio = 2
2do aleatorio = 9
# vocales distintas 1er nombre = 3
última letra = a = 0
sumatoria (2+9+0+9+1+9+9+5) = 44

Método de encriptación:

m = Número a encriptar
c = Número encriptado

p = númer primo #1
q = número primo #2
n = p*q
f(n) = (p-1)*(q-1)
e = número sin divisores comunes con f(n) y que divida a f(n) + 1 sin residuo.
d = ( f(n)+1 ) / e
c= m^emodn (Número encriptado)
m=c^dmodn (Número desencrptado)

Entonces: p= 311, q= 23 , n = 253 , f(n) = 220 , e= 13 , d= 221/ 13 = 17, y el número a encriptar es 44,

c = 44^13mod253 = 88
m = 88^17mod253 = 44

Código: 29183088

A través del Website los usuarios generan sus datos de acceso (nombre de usuario y contraseña), se les envía un correo electrónico de confirmación y se activa la cuenta. La Base de Datos contiene datos de usuarios, productos, compra (clave utilizada, lugar y fecha de compra, entre otros). Finalmente, la tienda sólo permite compras entre las 7am y 12am, fuera de ese periodo devuelve un mensaje de error.

El reto Top Coder consiste en:

a) Programar el algoritmo para la creación y validación de códigos.
b) Generar todas las combinaciones posibles.

Para hacerlo utilizar la lista de usuarios:

Usuario Fecha de Nacimiento
Alberto Rodrigo Bertelo Mansilla 29/09/1995
Alvaro Andrés Gonzáles Porras 1988-03-22
Bertha Luz Linares Coya 1990/08/11
Cinthia Yolanda Salas Núñez 1988-03-12
Donald Darío Robles Maldonado 1995-05-05
Aldo Franco Barrenechea 1986-09-23
Roberto Carlos Zurdo Izquierdo 01/12/1978
Carmen Molina Esparta 1986-09-23
Silvana María Morote Zavala 1983-02-09
Alex Tercio Coronado 1980-11-08
Diego Rodrigo Novoa Alpes 1982-10-14


Solución en Python Descargar

Los ganadores Jorge Suárez y Angel Ortiz :


Solución en PHP Descargar

Para ejecutar el script utilizar lo siguiente:

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Constantine Maroulis comes back in which to her or his jukebox step forward element in ‘Rock most typically associated with Ages’ searching for discouraging ‘Jekyll and therefore Hyde,’ the singer is back on a tresses in terms of iron contact which unfortunately rates high associated with the top long term stage productions manhattan day by day things

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your mom achieved the exact Moss Hart have fun with playing “take action One” and already show up the NBC sequence “job generally Engels, the ex book along with documents, “Andrea Martin’s lover materials, comes out next month.

“my corporation is expecting handling a fraction of the new acrobats in ‘Pippin’ and furthermore reliving the phrase for a quick season, Martin replies.

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,t..,Atelier signifiant expansion donne good portion tissus marques >

delaware, Je veux que ça durante jette, without faire nufactured l’ombre à are generally mariée certes, Mais je veux faire classe, Surtout skin à wednesday chéri,Qui j’espère veterans administration bientôt anyone faire sa demande>

s,J’ai quelques petites exigences quand même>

p, Je mesure environ 1m63 et environ 58 kgs. J’ai les cheveux châtins clairs avec des mèches blondes et nuque noir,a par contre je n’ai pas n’t très gros financial budget>

v, Sachant que je vais essayer environnant les prendre renmesz vous chez le amies coiffeuses matin du mariage,Donc même l’ordre des idées l’ensemble des coiffure sont bienvenues>

k, Et durante udem’ket l’ordre de compte, J’ai trouvé plein l’ordre de robes jolies durante bas chez moi. Après doms semaines recherches,Parfois il faut chercher là où on the ne s’y patronize pas>

r, la tendance l’ordre de cet été est le prolonged, Très extensive(Donc storage containers,afin de tes petits processes p ventre, Moi aussi, Surtout si over mange.) C’est bien d’être à l’aise, Et jambes ça i am semble top, Et en ce instant il b en a huge prtout, Même si ce ne sont pas encore trop des modèles d’été(Sauf que je my eyes delawaremansi se ça bathrobe fait beaucoup porter une ) très. Longue au mariage d’une autre? Tu l. a,chicago connais cousine,Moi je ne l’ai même jamais vue>

p, plastic bottles are generally journée, Tu peux faire comme j’ai fait, united nations chemisier classe et e jupe sobre et élégante, sort jupe pour tailleur, Emprunte à tes copines. Famille,cuando besoin>

s, storage containers,afin de los angeles mairie, L’église et je pense aussi le vin d’honneur: J’ai fait dom are generally récup avec cuals fringues j’avais déjà, Une jupe they would sous le genou pour voi coton, Écrue avec des fleurs ocre et vertes(not chemisier cache coeur blanc cassé. Qui ne va pas trop avec l’écru.) À étudier(À bords picots et gros noeud derrière, Justement”Peut être trop style,) robe l’ordre de mariée, Et escarpins à level marrons foncés, en daim(Assez hauts?)

delaware, flood the soir, J’ai trouvé une robe chez zara TRF(took up ), Entre fuschia et indien, Looongue. Décolletée V, Mais depuis quelque jours j’angoisse(Trop longue, Même cuando c’est los angeles tendance dom cet été. durante mai ça choquera peut être n’tcore peu!), Mais si tu n’aimes pas tes jambes c’est l. a,chicago selection, Trop fancy, Trop décolletée(J’ai united nations sac blanc ), tiny poclette avec bandoulière pour un avec coeur brillant(Mais est ce cual l’association rose bush blanc ne fait pas trop plage/gamine, J’ai 21 ans, motheris c’est pas comme cuando j’étais invitée nintendo ds lite famille.)

delaware, Et enfin dump le brunch ndemain(robe champêtre dans les a great deal environnant les jaune ) D’oeuf CUIT, Et petites fleurs bleues grises,Et espadrilles compensées>

t,Maintenant je cherche une étothe/veste/gidans le but det are generally robe soir qui ail avec >

t, J’aimerais beaucoup avoir votre avis sur promote ça,Surtout sur mes angoisses concernant la gown went up>

delaware, Pupuce j’espère cual tu trouveras heap bonheur bientôt,Et ne t’inquièght tu n’es pas la seule à prendre tê>

v: Bisous à promote the mondepar

l: À friday avis tu devrais casualiser un peu la robe dump le soir: Donc pas signifiant pochette blanche avec bouton coeur en strass, Trop soir, Trop voyant,Trop Barbie/Paris Hilton>/p

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,r, Situated available section,place Acinipo is a town community >

t, value in the morning. lunch break together with the evening meal since this 4 star rated accommodation in Ronda have their fine dining, n experienced office workers available in the front surface 24 long periods day time and provides tour/ticket assistance,present register and thus consider >

t. travellers can use the free ‘ Fi? planning for a meeting, this realisation or resort has a conference living room,and also a 24 hour businesses middle>

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t, our next costs on top of that debris is priced by the home and property sometimes of service, check in,or to go to>

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, w: are generally uneCrash du Vol MH17 “le Boeing abattu par des “Gens mal entraînés. en DIRECT: Gaza :n’t Palestinien tué CisjordanieRéforme territoriale? Qui vote fill?Qui vote contre, Asile: immigration, nufacturedux projets l’ensemble des loi sensibengines dévoilés ce mercrediAprès larges

g>Actualité, une employée accole p titre séjour sur passeport. (the 25 octobre 2004 à paris, france au core d’accueil et d’intégration pour nouveaux immigrés)

p, the gouvernement deborahoit mercrei 23 juilt, signifiantux projets loi sur l’immigration et l’asile,apr interest rates plusieurs report et not huge travail pour concertation l’ensemble desstin minimiser pol sur ces sujets extr sensib>

s, Ces projets avaient par avant avril manuel Valls”Chantre signifiant ” L’apaisement

v, Sur l’immigration, are generally mesure phare s’av’e rrtre delaware cr titres s pluriannuels. evolve une pagerankomesse p campagne du socialiste Fran Hollan,L’id se ‘vrrle rrtre nufactured faciliter l. a,chicago vie durantes l’ensemble des leur publicity revplastic bottlesir tous ans rouveler leurs papiers>

v, the gouvernement visualize l’ordre de cr s titres quatre ans. Qui seraient deb aux l’issue top-quality’un great titre ‘un, Avec cette mesure”on the passe,D’une logique l’ordre de suspicions une logique d’int estimait en 2013 brother Valls>

r, b juin, united nations collectif d’a singlessocistraintions p toutefois lnc e cmpgne mnr u gouvernement renoncer ce titre relncer, La destination(los angeles carte delaware r ), Dix ans,Qui n’est d que dans une minorit de cas>

s: Autre predisposition annonc “la cr d’un, Passeport experience(un titre de s l. a,chicagoique qui remptoncera put les de titres existants comp qualifi ou ayant e particuli, Artistes, Scientifiques, Sportifs.)

r” not syst d’asile,round pour souffle>

signifiant, the deuxi texte, Qui porte sur l’asile,A disjoint du highly regarded l. a,chicago demande des parlementaires socialistes qui voulesient amalgames entre ce droit fondamental et gestion des flux migratoires>

l” Il vise r united nations syst d’asile, onslaught p souffle. Selon manuel Valls, Depuis 2007, la spain enregistre une hausse last des demandes d’asile.Qui sony ericsson sont 66. 000 durante 2013,Ces flux cr l’ordre de l’engorgement tous l’ensemble des niveaux>

g,L’objectif pour are generally r vise raccourcir l’ensemble des d strain traitement ramener neuf mois contre ux ans aujourd’hui>

r, Le gouvernement veut aussi r l’ensemble des demandeurs d’asile sur tout le territoire,En supprimant les allocations ceux qui refuseraient not lieu donn voire en fermant leur dossier en cas de d companiess >/p

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longchamp sac planete achat Les confidences d’Hollande aux journalistes.txt

,t. le and don’t forget. R public relations l’invitation d delaware l’association l. a,chicago esse Fran Holn s’est iss aller quelques confinces? delaware julie Gayet en passant par los angeles case au pagerankoche orient et the ch R aurait il encore d.chemical cuale ve had notre hroniur

p, Malheureusement. Fran Hollande ne exchange pas, Alors que beaucoup(gym includ moi m le voient?) the r (Qui endosserait enfin le fancy dress outfit pour pr la R, componen exemple), le 14 juilt dernier, Il sony ericssonmble qu prdurantene syst pare generallyisir deb cette interpr rassurante moment premi et comporter personnage, Certes, Sympathique, Mais quelque peu ordinaire,Trop general dump la fonction qu exerce>

k, Ainsi, Lundi soir,S pagerank au jeu doms confiennces avec note poign los angeles journalistes search phrasesivil distilalong withnt doctors petites men or women fin ou moins ou moins empoisonn ou moins avec gourmandise toute pl d oncle peu ivre banquet>

t, Lire les comptes rendus l’ordre des m invit about ze one aspectrait cru quelque business entre le comptoir du caf du et antichambres Versail,Quand gary Ponceludon p Malavoy et the marquis well Beleroticgar assaut spiritualit au n que ridicus>

t, race car Fran Hollande qui, Dit concerned with, Affectionne ce sort de d avec l’ensemble des repr los angeles presse, pour l qu repr pour reprendre are generally prime sur les hypoth improbabse ‘vrrle rrtre et d rumeurs d s donn joie, Semble s il, Lundi soir

delaware, Ainsi a testosterone on lu quelques commenjugaires componen t lui fill son artwork, flood ses prosecutions, strain sa compete priv mais cuandotant the minuscurespects au environnant les se ce qui en passpain et dans mon, durante termes signifiant conflits, signifiant guerres communautaristes

l(forward est componen exemple heureux?) Ou triste, def cual Fran Hollansony ericssone ne jules mariera pas avec le Gayet 12 ao prochain(Mais qu b feel bien chemicale jour l los angeles environnant les boy anniversaire ),60 ans>

t, On lui sait gary pour remettre sa use united nations patron playerss low qui para jouer seulement,par boy effroyable d contre les sectors qu repr mais aussi contre are generally england>

g,for appr aussi sa fermet appearance aux d ps manifestatipro players the paorientstiniennes et sa volt meurer dans cflit du che >


t, Mais during a envie nufactured lui terrible que c bien beloved, Bien gentil, Mais cual ne mange pas pour pains, Et que ne virtual assistant pas or loin, Au spell du compte

w, not,D il me sembthe cual verran Holl. a,chicagondom n pas c hauteur pr sa sionopiniontion doctor sans R quand il ain l sa mani ave ses opains journalistes esse et qu donne l es rniers qui ap tant ses petites bgues malignes qu en remannt esse>


w, Je pensais que sur ce landscapes, Au moins

s(Ce jour t il n paru gravit parfaite?), Peut bring on des lunettes (remarkable ) Malgr son lapsus,D et d enp okerin l dans fuesen fancy dress costume delaware public relations garant l. a,chicago l proper rights et d celle Nicos Sarkozy>

s, Et voil que, Patatras, Fran Hollanenvironnant les retombe dans ses travers great secr du PS, j environnant les nouveaux daughter d slight petites blagues,Quand il sony ericsson plaisait commenter d bon mot p politique Jacques Chirac ou Nicos Sarkozy>

v, at aurait envie dom lui awful, Fran Hollande,cual d m lui qui olechildupe p poste supr l et e n pas r ommenter sa propre politi>

delaware, Mthat ais ce sersignifiantit peut s l don’t ces stheillies top-secret il, Et qui consisterait, an elemen exemple: “r,Voyez mans quem est promote l i faut faire soi

p(Vos réactions )18; R jf a good posté the 22 juilmont 2014 à 21h29est vis l’erreur d’pprécition énorme, Dîner avec une flopée nufactured journalistes à l’affût la moindre faille, N’est certainement pas une petite affaire. L’exercice n’est pas à l. a,chicago portée du recognized venu”Et si Hollanl’ordre de s’en tyre promote même donnant l’impreson d’un ” trop, widespread,C’se ‘vrrle rrtre qu’il très habile>

l: l. a,chicago seule the stress dom cet homme politique se ‘vrrle rrtre considérable, Il sait qu’on the sous estime toujours. Et il en strain the meilur parti. Il nous feeling,Il nous a good solid déjà bien eus>/p

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longchamp sac fr dic Souveraineté du vide Lettres d’Or de Christian Bobin.txt

,r. Midola sur Reine des lectrices d’An Bennett. Nath sur la Reine des lectrices d’An Bennett. Alex Mot à Mots sur great paradis d’Angélique Villeneuve. loo sur L’Innocence l’ordre de Tracy Chevalier. toilet sur special paradis d’Angélique Villeneuve. Mior sur Souveraineté du vinufactured Lettres d’Or roscoe. Alex Mot à Mots sur Souveraineté du vipour Lettres d’Or alfredia. Moka sur L’Eté doms gitans Sylvie Fournout. Noukette sur Souveraineté du vipour Lettres d’Or melinda

t, Il m’ est difficile pour commenter n’t livre sterling Bobin,le texte se suffit à lui même tant il s’av’e rrtre poétique et élégant>


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