盲解之 CO EO 機率分析 - 魔術方塊

By Jake
at 2009-10-31T15:35
at 2009-10-31T15:35
Table of Contents
恩...這是之前做的統計,針對3OP解法,算出任意一種盲解case中,所需翻動的角(CO)與
翻動的邊(EO)其個數及出現機率。雖然對速解沒有多大的價值,但至少可以在每次進行盲
解之前對於可能要翻幾個邊幾個角心裡會有個底,對剛開始學盲解的人應該比較有幫助,
想學新的公式可以也做為參考。
1. EO (edge orientation)
個數 case(s) probability %
0 1 0.04
2 66 3.22
4 495 24.46
6 924 45.65
8 495 24.46
10 66 3.22
12 1 0.04
-------------------------------------------
sum 2048 = (2^12)/2 100
出現機率: 6 > 4 = 8 > 2 = 10 > 0 = 12
45.65% 24.46% 3.22% 0.04%
————————————————————————————————————
機率% 0 10 20 30 40 50 60
███████████████
個數 0 ∣
2 ▍
4 ███████
6 ███████████▏
8 ███████
10 ▍
12∣
不難理解翻六邊是發生機會最大的,而且將近一半的機率會落在此處,且翻四邊與翻八邊
也各佔約四分之一,翻0 2 4 12邊則是幾乎不會出現。
------------------------------------------------------------------------
2. CO (corner orientation)
個數 case(s) probability%
0 1 0.04
1 0 0
2 56 2.56
3 112 5.12
4 420 19.2
5 560 25.61
6 616 28.17
7 336 15.36
8 86 3.93
--------------------------------------------
sum 2187 = (3^8)/3 100
出現機率: 6 > 5 > 4 > 7 > 3 > 8 > 2 > 0
28.17% 25.61% 19.2% 15.36% 5.12% 3.93% 2.56% 0.04%
——————————————————————————————————
機率% 0 5 10 15 20 25 30
███████████████
個數 0 ∣
1
2 █▊
3 ██▊
4 ██████████
5 ████████████▊
6 █████████████▋
7 ████████
8 ██▍
翻5+6角機率過半,翻4和7個角的也蠻常出現,剩下的很難碰到卻都很容易解。
----------------------------------------------------------------------
大概是這樣,圖是學f1版的車種比較圖,應該會比較容易看的出差異吧XD
--
翻動的邊(EO)其個數及出現機率。雖然對速解沒有多大的價值,但至少可以在每次進行盲
解之前對於可能要翻幾個邊幾個角心裡會有個底,對剛開始學盲解的人應該比較有幫助,
想學新的公式可以也做為參考。
1. EO (edge orientation)
個數 case(s) probability %
0 1 0.04
2 66 3.22
4 495 24.46
6 924 45.65
8 495 24.46
10 66 3.22
12 1 0.04
-------------------------------------------
sum 2048 = (2^12)/2 100
出現機率: 6 > 4 = 8 > 2 = 10 > 0 = 12
45.65% 24.46% 3.22% 0.04%
————————————————————————————————————
機率% 0 10 20 30 40 50 60
███████████████
個數 0 ∣
2 ▍
4 ███████
6 ███████████▏
8 ███████
10 ▍
12∣
不難理解翻六邊是發生機會最大的,而且將近一半的機率會落在此處,且翻四邊與翻八邊
也各佔約四分之一,翻0 2 4 12邊則是幾乎不會出現。
------------------------------------------------------------------------
2. CO (corner orientation)
個數 case(s) probability%
0 1 0.04
1 0 0
2 56 2.56
3 112 5.12
4 420 19.2
5 560 25.61
6 616 28.17
7 336 15.36
8 86 3.93
--------------------------------------------
sum 2187 = (3^8)/3 100
出現機率: 6 > 5 > 4 > 7 > 3 > 8 > 2 > 0
28.17% 25.61% 19.2% 15.36% 5.12% 3.93% 2.56% 0.04%
——————————————————————————————————
機率% 0 5 10 15 20 25 30
███████████████
個數 0 ∣
1
2 █▊
3 ██▊
4 ██████████
5 ████████████▊
6 █████████████▋
7 ████████
8 ██▍
翻5+6角機率過半,翻4和7個角的也蠻常出現,剩下的很難碰到卻都很容易解。
----------------------------------------------------------------------
大概是這樣,圖是學f1版的車種比較圖,應該會比較容易看的出差異吧XD
--
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魔術方塊
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