Re: [Jeux] Trouver le calcul caché

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Sujet : Re: [Jeux] Trouver le calcul caché
De : samuel.devulder (at) *nospam* laposte.net.invalid (Samuel DEVULDER)
Groupes : fr.sci.maths
Date : 24. Mar 2022, 12:56:14
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Organisation : Nemoweb
Message-ID : <tUS_8DWtfi8ANkBMd_l-_eEpVpo@jntp>
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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...

Ce qui, à la réflexion, paraît totalement "impossible" même avec des premiers coups déjà bien "chanceux".
Je donne mes premiers coups à ton algo pour savoir ce qu'il pourrait en faire ensuite.

36-12
=> 2 coups
[size=125,time=0]
Play: 36-12
Answ: +-!-+
state([2,3],[[0,2,4,5,7,8,9,+,-,*,/,(,)],[0,2,3,4,5,7,8,9,+,-,*,/,(,)],[-],[0,2,3,4,5,7,8,9,+,-,*,/,(,)],[0,3,4,5,7,8,9,+,-,*,/,(,)]])
reduced=1
Solved: 53-25

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

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)
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,+,/,(,)]])
reduced=10
9-[8,4,/,(,2,+,1,)]=2.92193-max(none,-1)+sec(1)
8-[9,+,3,4,2,/,1,8]=3.12193-max([8,4,/,(,2,+,1,)],2.92193)+sec(0)
7-[4,+,4,3,2,/,1,8]=7.64043-max([9,+,3,4,2,/,1,8],3.12193)+sec(0)
6-[8,+,4,2,0,/,2,1]=6.87835-max([4,+,4,3,2,/,1,8],7.64043)+sec(0)
5-[4,+,9,1,2,/,3,8]=3.12193-max([4,+,4,3,2,/,1,8],7.64043)+sec(0)
4-[9,+,9,1,2,/,4,8]=3.78631-max([4,+,4,3,2,/,1,8],7.64043)+sec(1)
3-[8,/,4,+,2,6,/,1]=6.87835-max([4,+,4,3,2,/,1,8],7.64043)+sec(0)
2-[4,0,/,2,+,8,/,1]=5.94616-max([4,+,4,3,2,/,1,8],7.64043)+sec(0)
1-[4,/,2,+,8,+,1,8]=20.2638-max([4,+,4,3,2,/,1,8],7.64043)+sec(0)
0-[8,4,/,1,2,+,2,1]=13.9453-max([4,/,2,+,8,+,1,8],20.2638)+sec(1)
Play: 4/2+8+18
Answ: +++-+!!-
state([1,2,4,8,+,/],[[0,3,6,7,8,9,/,(,)],[0,1,2,3,4,6,7,9,(,)],[0,1,3,4,6,7,9,/,(,)],[0,1,2,3,4,6,7,9,(,)],[0,2,3,4,6,7,9,(,)],[+],[1],[0,1,3,6,7,9,/,(,)]])
reduced=1
Solved: 84/(2+1)

4*8-9+1
3 coups. Il aurait pu en 2 mais il a choisi la mauvaise permutation 5/7:
[size=9001,time=9]
Play: 4*8-9+1
Answ: !-+--!-
state([8],[[4],[0,2,3,4,5,6,7,8,+,/,(,)],[0,2,3,4,5,6,7,+,/,(,)],[0,2,3,4,5,6,7,8,+,/,(,)],[0,2,3,4,5,6,7,8,+,/,(,)],[+],[0,2,3,4,5,6,7,8,+,/,(,)]])
reduced=7
6-[4,+,7,+,8,+,5]=2.52164-max(none,-1)+sec(0)
5-[4,+,6,+,8,+,6]=1.84237-max([4,+,7,+,8,+,5],2.52164)+sec(0)
4-[4,+,5,+,8,+,7]=2.52164-max([4,+,7,+,8,+,5],2.52164)+sec(0)
3-[4,+,7,+,5,+,8]=2.52164-max([4,+,5,+,8,+,7],2.52164)+sec(0)
2-[4,+,6,+,6,+,8]=1.84237-max([4,+,7,+,5,+,8],2.52164)+sec(0)
1-[4,+,5,+,7,+,8]=2.52164-max([4,+,7,+,5,+,8],2.52164)+sec(1)
0-[4,+,4,+,8,+,8]=4.59211-max([4,+,5,+,7,+,8],2.52164)+sec(0)
Play: 4+4+8+8
Answ: !!-!!!-
state([8],[[4],[+],[0,2,3,5,6,7,+,/,(,)],[+],[8],[+],[0,2,3,5,6,7,+,/,(,)]])
reduced=3
2-[4,+,7,+,8,+,5]=1.58496-max(none,-1)+sec(0)
1-[4,+,6,+,8,+,6]=0.918296-max([4,+,7,+,8,+,5],1.58496)+sec(0)
0-[4,+,5,+,8,+,7]=1.58496-max([4,+,7,+,8,+,5],1.58496)+sec(0)
Play: 4+5+8+7
Answ: !!+!!!+
state([5,7,8],[[4],[+],[0,2,3,6,7,+,/,(,)],[+],[8],[+],[0,2,3,5,6,+,/,(,)]])
reduced=1
Solved: 4+7+8+5
Je dirais que, dans l’ensemble,  vu le nombre de possibilités à l’étape 2, tu as vraiment eu du bol. Courre vite jouer au loto avant que la chance te quitte!
Sam

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10 Mar 22 ii              i       i                         i         `* Re: [Jeux] Trouver le calcul caché59Jacques Mathon
10 Mar 22 ii              i       i                         i          `* Re: [Jeux] Trouver le calcul caché58Samuel DEVULDER
11 Mar 22 ii              i       i                         i           `* Re: [Jeux] Trouver le calcul caché57Jacques Mathon
11 Mar 22 ii              i       i                         i            +- Re: [Jeux] Trouver le calcul caché1Jacques Mathon
11 Mar 22 ii              i       i                         i            +- Re: [Jeux] Trouver le calcul caché1Jacques Mathon
11 Mar 22 ii              i       i                         i            `* Re: [Jeux] Trouver le calcul caché54Samuel DEVULDER
11 Mar 22 ii              i       i                         i             +- Re: [Jeux] Trouver le calcul caché1Jacques Mathon
12 Mar 22 ii              i       i                         i             `* Re: [Jeux] Trouver le calcul caché52Jacques Mathon
13 Mar 22 ii              i       i                         i              `* Re: [Jeux] Trouver le calcul caché51Jacques Mathon
14 Mar 22 ii              i       i                         i               `* Re: [Jeux] Trouver le calcul caché50Samuel DEVULDER
14 Mar 22 ii              i       i                         i                `* Re: [Jeux] Trouver le calcul caché49Jacques Mathon
14 Mar 22 ii              i       i                         i                 `* Re: [Jeux] Trouver le calcul caché48Samuel DEVULDER
15 Mar 22 ii              i       i                         i                  `* Re: [Jeux] Trouver le calcul caché47Jacques Mathon
15 Mar 22 ii              i       i                         i                   `* Re: [Jeux] Trouver le calcul caché46Samuel DEVULDER
16 Mar 22 ii              i       i                         i                    `* Re: [Jeux] Trouver le calcul caché45Jacques Mathon
16 Mar 22 ii              i       i                         i                     `* Re: [Jeux] Trouver le calcul caché44Samuel DEVULDER
17 Mar 22 ii              i       i                         i                      `* Re: [Jeux] Trouver le calcul caché43Jacques Mathon
17 Mar 22 ii              i       i                         i                       +- Re: [Jeux] Trouver le calcul caché1Jacques Mathon
17 Mar 22 ii              i       i                         i                       `* Re: [Jeux] Trouver le calcul caché41Jacques Mathon
17 Mar 22 ii              i       i                         i                        `* Re: [Jeux] Trouver le calcul caché40Samuel DEVULDER
17 Mar 22 ii              i       i                         i                         `* Re: [Jeux] Trouver le calcul caché39HB
18 Mar 22 ii              i       i                         i                          `* Re: [Jeux] Trouver le calcul caché38Jacques Mathon
19 Mar 22 ii              i       i                         i                           `* Re: [Jeux] Trouver le calcul caché37Jacques Mathon
20 Mar 22 ii              i       i                         i                            `* Re: [Jeux] Trouver le calcul caché36Jacques Mathon
20 Mar 22 ii              i       i                         i                             `* Re: [Jeux] Trouver le calcul caché35Samuel DEVULDER
5 Mar 22 ii              i       i                         `- Re: [Jeux] Trouver le calcul caché1Samuel DEVULDER
23 Feb 22 ii              i       `- Re: [Jeux] Trouver le calcul caché1Jacques Mathon
19 Feb 22 ii              `* Re: [Jeux] Trouver le calcul caché2Samuel DEVULDER
24 Feb 22 i`* Re: [Jeux] Trouver le calcul caché6The Mover
21 May 22 `* Re: [Jeux] Trouver le calcul caché26Samuel DEVULDER

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