Path: ...!weretis.net!feeder8.news.weretis.net!proxad.net!feeder1-2.proxad.net!cleanfeed1-b.proxad.net!nnrp3-2.free.fr!not-for-mail Date: Thu, 24 Mar 2022 14:10:43 +0100 MIME-Version: 1.0 User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:91.0) Gecko/20100101 Thunderbird/91.7.0 Subject: =?UTF-8?Q?Re=3a_=5bJeux=5d_Trouver_le_calcul_cach=c3=a9?= Content-Language: fr-FR Newsgroups: fr.sci.maths References: <623860e1$0$25316$426a74cc@news.free.fr> <6238ae91$0$11567$426a74cc@news.free.fr> <62397a24$0$25344$426a74cc@news.free.fr> <623ae508$0$25352$426a34cc@news.free.fr> <623c2380$0$30693$426a74cc@news.free.fr> From: Jacques Mathon In-Reply-To: Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Lines: 152 Message-ID: <623c6dd4$0$25333$426a34cc@news.free.fr> Organization: Guest of ProXad - France NNTP-Posting-Date: 24 Mar 2022 14:10:44 CET NNTP-Posting-Host: 109.8.253.149 X-Trace: 1648127444 news-4.free.fr 25333 109.8.253.149:41128 X-Complaints-To: abuse@proxad.net Bytes: 7860 Le 24/03/2022 à 11:56, Samuel DEVULDER a écrit : > Le 24/03/2022 à 08:53, Jacques Mathon a écrit : >> Le 23/03/2022 à 11:52, Samuel DEVULDER a écrit : >>> ... >> >> Pour aujourd'hui, de nouveau beaucoup de... réussite ? > > Oui je trouve, surtout en comparaison de mes propres résultats. > easy.mathler.com  51 4/6 > > ⬜🟨🟩⬜⬜ > ⬜🟩🟩⬜🟩 > ⬜🟩🟩🟨🟩 > 🟩🟩🟩🟩🟩 > > mathler.com  51 3/6 > > 🟨⬜⬜⬜🟨🟨 > 🟩⬜🟨🟨🟩⬜ > 🟩🟩🟩🟩🟩🟩 > > hard.mathler.com  51 4/6 > > 🟨⬜⬜⬜🟨🟨⬜⬜ > 🟩🟨🟨⬜🟨⬜⬜⬜ > 🟩⬜⬜🟨🟨🟩🟩⬜ > 🟩🟩🟩🟩🟩🟩🟩🟩 > > Numble # 52 > > ⬛️⬛️⬛️⬛️⬛️🟨🟨 > ⬛️🟨⬛️⬛️🟩⬛️🟩.. > 🟩🟩🟩🟩🟩🟩🟩 > > 3/6 > > www.thenumble.app > > Ou alors c’est moi qui n’ai pas de bol... > ... >> 4*6+15 > => 3 coups > [size=1238,time=1] > Play: 4*6+15 > Answ: ++--+- > state([1,4,*],[[0,1,2,3,7,8,9,-,*,/,(,)],[0,1,2,3,4,7,8,9,-,/,(,)],[0,1,2,3,4,7,8,9,-,*,/,(,)],[0,1,2,3,4,7,8,9,-,*,/,(,)],[0,2,3,4,7,8,9,-,*,/,(,)],[0,1,2,3,4,7,8,9,-,*,/,(,)]]) > > reduced=5 > 4-[7,1,-,8,*,4]=1.37095-max(none,-1)+sec(0) > 3-[7,1,-,4,*,8]=1.92193-max([7,1,-,8,*,4],1.37095)+sec(0) > 2-[1,0,*,4,-,1]=5.10824-max([7,1,-,4,*,8],1.92193)+sec(0) > 1-[1,4,*,3,-,3]=1.52193-max([1,0,*,4,-,1],5.10824)+sec(0) > 0-[1,2,*,4,-,9]=2.32193-max([1,0,*,4,-,1],5.10824)+sec(0) > Play: 10*4-1 > Answ: !-!!!- > state([1,4,*],[[1],[2,3,4,7,8,9,-,/,(,)],[*],[4],[-],[2,3,4,7,8,9,-,*,/,(,)]]) > > reduced=1 > Solved: 12*4-9 Quand j'ai vu qu'il y avait une solution avec un 12, je l'ai jouée sans hésiter. >> 15*8/4-2 > => 4 coups > [size=69841,time=86] > Play: 15*8/4-2 > Answ: +--+++-+ > state([1,2,4,8,/],[[0,2,3,4,6,7,8,9,+,/,(,)],[0,1,2,3,4,6,7,8,9,+,/,(,)],[0,1,2,3,4,6,7,8,9,+,/,(,)],[0,1,2,3,4,6,7,9,+,/,(,)],[0,1,2,3,4,6,7,8,9,+,(,)],[0,1,2,3,6,7,8,9,+,/,(,)],[0,1,2,3,4,6,7,8,9,+,/,(,)],[0,1,3,4,6,7,8,9,+,/,(,)]]) > > reduced=46 > 45-[8,4,/,(,2,+,1,)]=4.28184-max(none,-1)+sec(0) > 44-[8,4,/,(,1,+,2,)]=3.77534-max([8,4,/,(,2,+,1,)],4.28184)+sec(1) La aussi, quand j'ai vu qu'il y avait une solution avec les parenthèses, je l'ai jouée sans hésiter en me disant probablement à tort (au regard des résultats de l'algo) que, en cas d'échec, je l'aurais au coup suivant. > 43-[7,8,4,/,2,/,1,4]=24.6267-max([8,4,/,(,2,+,1,)],4.28184)+sec(0) > 42-[7,8,4,/,1,/,2,8]=23.9779-max([7,8,4,/,2,/,1,4],24.6267)+sec(1) > 41-[7,8,4,/,2,8,/,1]=26.4717-max([7,8,4,/,2,/,1,4],24.6267)+sec(0) > 40-[9,+,3,4,2,/,1,8]=4.11468-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 39-[4,+,4,3,2,/,1,8]=9.99148-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 38-[2,+,4,6,8,/,1,8]=9.04599-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 37-[8,+,4,2,0,/,2,1]=9.62647-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 36-[4,+,9,1,2,/,3,8]=4.49832-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 35-[8,+,8,2,0,/,4,1]=9.36996-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 34-[9,+,9,1,2,/,4,8]=5.2075-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 33-[2,6,+,2,8,/,1,4]=10.148-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 32-[2,1,+,9,8,/,1,4]=9.7946-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 31-[2,4,+,6,8,/,1,7]=3.67764-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 30-[2,4,+,7,2,/,1,8]=8.60643-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 29-[8,/,4,+,2,6,/,1]=10.2178-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 28-[4,0,/,2,+,8,/,1]=9.24864-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 27-[2,6,/,1,+,8,/,4]=10.7376-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 26-[8,+,4,/,2,+,1,8]=23.6878-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 25-[4,/,2,+,8,+,1,8]=24.2089-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 24-[8,4,/,1,2,+,2,1]=23.7088-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 23-[9,8,/,1,4,+,2,1]=11.0638-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 22-[4,8,/,1,2,+,2,4]=22.1327-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 21-[6,8,/,1,7,+,2,4]=4.37728-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 20-[7,2,/,1,8,+,2,4]=10.0038-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 19-[8,4,/,2,1,+,2,4]=25.2246-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 18-[8,/,2,/,1,+,2,4]=22.3375-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 17-[8,/,1,/,2,+,2,4]=21.758-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 16-[2,8,/,1,4,+,2,6]=9.22403-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 15-[8,2,/,4,1,+,2,6]=10.0382-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 14-[8,/,4,/,1,+,2,6]=10.0335-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 13-[8,/,1,/,4,+,2,6]=9.36767-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 12-[8,6,4,/,3,2,+,1]=4.52847-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 11-[4,8,/,2,+,3,+,1]=10.1253-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 10-[4,8,/,2,+,1,+,3]=9.25874-max([7,8,4,/,2,8,/,1],26.4717)+sec(0) > 9-[2,8,8,/,1,2,+,4]=29.1699-max([7,8,4,/,2,8,/,1],26.4717)+sec(1) > 8-[4,3,2,/,1,8,+,4]=10.0207-max([2,8,8,/,1,2,+,4],29.1699)+sec(0) > 7-[9,1,2,/,3,8,+,4]=4.15023-max([2,8,8,/,1,2,+,4],29.1699)+sec(1) > 6-[2,4,0,/,1,2,+,8]=11.4006-max([2,8,8,/,1,2,+,4],29.1699)+sec(0) > 5-[4,2,0,/,2,1,+,8]=9.8793-max([2,8,8,/,1,2,+,4],29.1699)+sec(1) > 4-[8,2,0,/,4,1,+,8]=9.14403-max([2,8,8,/,1,2,+,4],29.1699)+sec(0) > 3-[4,/,2,+,1,8,+,8]=23.2828-max([2,8,8,/,1,2,+,4],29.1699)+sec(0) > 2-[3,4,2,/,1,8,+,9]=4.30532-max([2,8,8,/,1,2,+,4],29.1699)+sec(1) > 1-[4,1,8,/,2,2,+,9]=9.69453-max([2,8,8,/,1,2,+,4],29.1699)+sec(0) > 0-[9,1,2,/,4,8,+,9]=4.76176-max([2,8,8,/,1,2,+,4],29.1699)+sec(1) > Play: 288/12+4 > Answ: ++-++-++ > state([1,2,4,8,+,/],[[0,3,4,6,7,8,9,+,/,(,)],[0,1,2,3,4,6,7,9,+,/,(,)],[0,1,2,3,4,6,7,9,+,/,(,)],[0,1,2,3,4,6,7,9,+,(,)],[0,2,3,4,6,7,8,9,+,(,)],[0,1,3,6,7,8,9,+,/,(,)],[0,1,2,3,4,6,7,8,9,/,(,)],[0,1,3,6,7,8,9,+,/,(,)]]) J'ai pas tout compris aux opérations que tu effectues. De mon côté je tenterais d'évaluer la "profondeur" max de la recherche (dès que possible). > reduced=10 Il en reste beaucoup (trop ?). > ... >> 4*8-9+1 > 3 coups. Il aurait pu en 2 mais il a choisi la mauvaise permutation 5/7: Là j'ai clairement eu du bol d'avoir le bon placement des chiffres. > ... > Je dirais que, dans l’ensemble,  vu le nombre de possibilités à l’étape > 2, tu as vraiment eu du bol. Nous sommes bien d'accord. > Courre vite jouer au loto avant que la chance te quitte! Là, j'ai une stratégie infaillible... pour ne pas perdre. ;-) Amicalement -- Jacques