Deutsch   English   Français   Italiano  
<623c6dd4$0$25333$426a34cc@news.free.fr>

View for Bookmarking (what is this?)
Look up another Usenet article

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: <sue0gr$5e5$1@gioia.aioe.org>
 <623860e1$0$25316$426a74cc@news.free.fr> <aHXepK_7aJgnNbWGMoxvjf5IBjo@jntp>
 <6238ae91$0$11567$426a74cc@news.free.fr> <t1ac58$1f18$1@gioia.aioe.org>
 <62397a24$0$25344$426a74cc@news.free.fr> <GOi9hV13CHqopxWmtSD7TeiuIPM@jntp>
 <623ae508$0$25352$426a34cc@news.free.fr> <XZiJa1RNEI-STHMA79usI2oChDA@jntp>
 <623c2380$0$30693$426a74cc@news.free.fr> <tUS_8DWtfi8ANkBMd_l-_eEpVpo@jntp>
From: Jacques Mathon <mathon.jacques@free.fr>
In-Reply-To: <tUS_8DWtfi8ANkBMd_l-_eEpVpo@jntp>
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