Using Ms Excel Google Sheets.pptx

Using Ms Excel or
Google Sheets
 Convolution Neural Network
 Hidden Layer
 Search for NP problem
https://www.linkedin.com/in/a111chen @2022

Convolution Neural Network
Objective:
1) Find the Xn using the Kernel, Convolution, Relu and Pooling
2) Find the Wn using the Matrix, Linest or Solver Method
3) What if Xn have correlation with each other?
Why:
1) To evaluate the pattern of the data
2) To predict the outcome for the new data from existing approximate
function f(x) = W0X0 + W1X1 + W2X2 + …. WnXn, with X0 = 1 (Bias)

1 1
1 1
1 1
1
1 1
1 1
1 1
1
1 -1 -1
-1 1 -1
-1 -1 1
1 -1 1
-1 1 -1
1 -1 1
-1 -1 1
-1 1 -1
1 -1 -1
0.333333 0 0.222222 0 0.333333 0
0 0.333333 0 0.333333 0 0.111111
0.222222 0 0.555556 0 0.222222 0
0 0.333333 0 0.333333 0 0.111111
0.333333 0 0.222222 0 0.333333 0
0 0.111111 0 0.111111 0 0.333333
0.333333 0 0 0 0 0
0 0.333333 0 0 0 0.111111
0 0 0.111111 0 0 0
0 0 0 0.333333 0 0
0 0 0 0 0.333333 0
0 0.111111 0 0 0 0.333333
0 0 0 0 0.333333 0
0 0 0 0.333333 0 0
0 0 0.111111 0 0 0
0 0.333333 0 0 0 0.111111
0.333333 0 0 0 0 0
0 0 0 0.111111 0 0
0.333333 0 0.111111
0 0.333333 0
0.111111 0 0.333333
0.333333 0.333333 0.333333
0.333333 0.555556 0.222222
0.333333 0.222222 0.333333
0 0.333333 0.333333
0.333333 0.111111 0.111111
0.333333 0.111111 0
0.333333 0.333333
0.333333 0.333333
0.555556 0.555556
0.555556 0.555556
0.333333 0.333333
0.333333 0.111111
Input Kernel Convolution & Relu Pooling (Xn)
MAX(0,SUMPRODUCT($Kernel,Input)/9) MAX(Convolution&Relu) from 2x2 box
Find the Xn using the Kernel, Convolution, Relu and Pooling

11 3 0 1 2
0 4 2 0 1
3 2 7 1 0
4 0 4 10 1
2 5 1 3 14
Matrix Xn:
5 x 5
W1
W2
W3
W4
W5
Matrix Wn:
5 x 1
45
30
15
20
92
Matrix WnXn:
5 x 1
X =
Matrix Wn = MMULT( MINVERSE(Matrix Xn), Matrix WnXn)
1.423902
6.895467
-0.62519
1.313663
3.668504
=
W1
W2
W3
W4
W5
Find the Wn using the Matrix Method

11 3 0 1 2
0 4 2 0 1
3 2 7 1 0
4 0 4 10 1
2 5 1 3 14
Matrix Xn:
5 x 5
W1
W2
W3
W4
W5
Matrix Wn:
5 x 1
45
30
15
20
92
Matrix WnXn:
5 x 1
X =
Matrix Wn = Reverse order of TRANSPOSE(LINEST(Matrix WnXn, Matrix Xn, False, False))
1.423902
6.895467
-0.62519
1.313663
3.668504
=
W1
W2
W3
W4
W5
Find the Wn using the Linest Method

11 3 0 1 2
0 4 2 0 1
3 2 7 1 0
4 0 4 10 1
2 5 1 3 14
Matrix Xn:
5 x 5
W1
W2
W3
W4
W5
Matrix Wn:
5 x 1
45
30
15
20
92
Matrix WnXn:
5 x 1
X =
Using solver
1) Matrix Wn put random number => Changing Variables
2) Predict Matrix WnXn = MMULT(Matrix Wn, Matrix Xn)
3) Error^2 = SUMXMY2(Predict Matrix WnXn,Matrix
WnXn) => Set Objective Min
W1X1
W2X2
W3X3
W4X4
W5X5
Predict Matrix WnXn :
5 x 1
1.423904
6.895465
-0.62518
1.313662
3.668504
W1
W2
W3
W4
W5
Find the Wn using the Solver Method
Helper Matrix
=
SUMXMY2

0.5
0.5
0.3
0.1
0.5 0.5 0.3 0.1
Matrix A: 4 x 1 Matrix B: 1 x 4 Matrix C: 4 x 4
X
Find Matrix C
=
Matrix C = MMULT(Matrix A, Matrix B)
Matrix C = MMULT(Matrix A, TRANSPOSE(Matrix A))
?
0.25 0.25 0.15 0.05
0.25 0.25 0.15 0.05
0.15 0.15 0.09 0.03
0.05 0.05 0.03 0.01
Matrix C: 4 x 4

1.00 -0.02 0.09 0.50
-0.02 1.00 -0.74 0.10
0.09 -0.74 1.00 0.54
0.50 0.10 0.54 1.00
Array D:
Correlation
W1
W2
W3
W4
Array C:
Weighted
16.54872
20.07137
15.4287
15.44397
Array B:
SD
17.865
23.2375
13.5875
17.81
Array A:
Return
Using solver Find Optimal for Weighted
1) Array C put random number => Changing Variables
2) Predict Portfolio SD = SQRT(SUMPRODUCT(MMULT(Array C,
TRANSPOSE(Array C)), MMULT(Array B, TRANSPOSE(Array B
)),Array D))
3) Predict Portfolio Return = SUMPRODUCT(Array C, Array A)
4) Risk free rate = 2.02
5) Sharpe ratio = (Predict Portfolio SD – Risk free rate) /
Predict Portfolio Return => Set Objective Max
W1
W2
W3
W4
0.3
0.5
0.2
0
=
What if Xn have correlation with each other?

Hidden Layer
Objective:
1. Table or Array (Table, {}) is useful for later check back the error more
faster and look organise
2. (Randombetween) for random number between top and bottom.
3. (Mod) for rotation in circle like 24hour will go back to 0,
4. For String (mid, left, right, concat, textjoin, substitute, len, find)
5. Calculate using (If, Sumifs, Countifs, Let, and, or) with criteria
6. Lookup data using (Index, Match, Vlookup , Choose , Filter , Unique)
for value between two array or table column
7. (Sequence) for generate a list of sequential numbers in an array
Why:
1. To understand and calculate the China ancient mathematic
2. From simple to complex layer using table, formula, and array
formula.

Step 1
Possible Simulate Predict Error^2
5 70.8% 75.0% 17.64
9 29.2% 25.0% 17.64
Step 2
4 48.9% 50.0% 1.21
8 51.1% 50.0% 1.21
Step 3
4 51.3% 50.0% 1.69
8 48.7% 50.0% 1.69
Step 4
6 5.5% 6.3% 0.56
7 29.2% 31.3% 4.20
8 44.2% 43.8% 0.20
9 21.1% 18.8% 5.52
Total 100.0% 100.0% 10.49
少老 Total
阴 43.8% 6.3% 50.0%
阳 31.3% 18.8% 50.0%
Total 75.0% 25.0% 100.0%
Step 1
[@Bal0] = 50 -1 = 49
[@L1] = RANDBETWEEN(1,[@Bal0])
[@Pos1] =3+MOD([@L1]-2,4)+MOD([@Bal0]-[@L1]-1,4)
Step 2
[@Bal1]=[@Bal0]-[@Pos1]
[@L2] =RANDBETWEEN(1,[@Bal1])
[@Pos2] =3+MOD([@L2]-2,4)+MOD([@Bal1]-[@L2]-1,4)
Step 3
[@Bal2]=[@Bal1]-[@Pos2]
[@L3] =RANDBETWEEN(1,[@Bal2])
[@Pos3] =3+MOD([@L3]-2,4)+MOD([@Bal2]-[@L3]-1,4)
Step 4
[@Pos4] =([@Bal2]-[@Pos3])/4
Simple : Possibility of 易经占卜
After simulate for 1000 times
Note: Mod without Zero
1) MOD(n-1,d)+1
2) If(MOD(n,d) = 0, d,
MOD(n,d))

0 1 2 3 4 5 6 7
000 001 010 011 100 101 110 111
坤（地）震（雷）坎（水）兌（泽）艮（山）離（火）巽（風）乾（天）
←上卦
↓下卦
02.坤為地
(kūn)
16.雷地豫
(yù)
08.水地比
(bǐ)
45.泽地萃
(cuì)
23.山地剥
(bō)
35.火地晋
(jìn)
20.風地观
(guān)
12.天地否
(pǐ)
坤（地）
24.地雷復
(fù)
51.震為雷
(zhèn)
03.水雷屯
(zhūn)
17.泽雷随
(suí)
27.山雷頤
(yí)
21.火雷噬嗑
(shì kè)
42.風雷益
(yì)
25.天雷无妄
(wú wàng)
震（雷）
07.地水師
(shī)
40.雷水解
(xiè)
29.坎為水
(kǎn)
47.泽水困
(kùn)
04.山水蒙
(méng)
64.火水未济
(wèi jì)
59.風水渙
(huàn)
06.天水訟
(sòng)
坎（水）
19.地泽臨
(lín)
54.雷泽歸妹
(guī mèi)
60.水泽節
(jié)
58.兌為泽
(duì)
41.山泽損
(sǔn)
38.火泽睽
(kuí)
61.風泽中孚
(zhōng fú)
10.天泽履
(lǚ)
兌（泽）
15.地山謙
(qiān)
62.雷山小過
(xiǎo guò)
39.水山蹇
(jiǎn)
31.泽山咸
(xián)
52.艮為山
(gèn)
56.火山旅
(lǚ)
53.風山漸
(jiàn)
33.天山遯
(dùn)
艮（山）
36.地火明夷
(míng yí)
55.雷火丰
(fēng)
63.水火既济
(jì jì)
49.泽火革
(gé)
22.山火賁
(bì)
30.離為火
(lí)
37.風火家人
(jiā rén)
13.天火同人
(tóng rén)
離（火）
46.地風升
(shēng)
32.雷風恒
(héng)
48.水風井
(jǐng)
28.泽風大過
(dà guò)
18.山風蠱
(gŭ)
50.火風鼎
(dǐng)
57.巽為風
(xùn)
44.天風姤
(gòu)
巽（風）
11.地天泰
(tài)
34.雷天大壯
(dà zhuàng)
05.水天需
(xū)
43.泽天夬
(guài)
26.山天大畜
(dà chù)
14.火天大有
(dà yǒu)
09.風天小畜
(xiǎo chù)
01.乾為天
(qián)
乾（天）
No Pos4 本卦互卦变卦错卦综卦
6 7 1 0 1 0 1
5 8 0 1 0 1 0
4 7 1 0 1 0 0
3 8 0 1 0 1 1
2 8 0 0 0 1 0
1 7 1 0 1 0 1
上卦 5 2 5 2 4
下卦 1 4 1 6 5
卦
21.火雷噬嗑
(shì kè)
39.水山蹇
(jiǎn)
21.火雷噬嗑
(shì kè)
48.水風井
(jǐng)
22.山火賁
(bì)
本卦=IF(ISEVEN([@Pos4]),0,1)
互卦 = Pos4{5,4,3,4,3,2}
变卦=IF(OR([@Pos4]=6,[@Pos4]=9),[@错卦],[@本卦])
错卦=IF(ISEVEN([@本卦]),1,0)
综卦=INDEX([本卦],[@No])
上卦=BIN2DEC(LEFT(TEXTJOIN("",TRUE,Table1[本卦]),3))
下卦=BIN2DEC(RIGHT(TEXTJOIN("",TRUE,Table1[本卦]),3))
卦 = =INDEX(64卦,下卦+1,上卦+1)
64卦 = 8 x 8
Example
Simple : 易经占卜

Collect the date of 24节气 from
website from year 1900 Into table
Medium : Convert Calendar date to 八字
天干 = {甲乙丙丁戊己庚辛壬癸}
地支 = {子丑寅卯辰巳午未申酉戌亥}
天干日数 = {0246802468}
年月日时
1986 2 10 10
Step 1 : calculate 年
年的参数=COUNTIFS(Table2[Date],"<="&DATE(年,月,日),Table2[节气],"立春")+36
年天干 =MID(天干,MOD(年的参数-1,10)+1,1)
年地支=MID(地支,MOD(年的参数-1,12)+1,1)
年柱=CONCAT(年天干,年地支)
Step 2 : calculate 月
月的参数=COUNTIFS(Table2[Date],"<="&DATE(年,月,日))+13
月天干=MID(天干,MOD(月的参数-1,10)+1,1)
月地支 =MID(地支,MOD(月的参数-1,12)+1,1)
月柱=CONCAT(月天干,月地支)
年月日时
丙寅庚寅乙酉辛巳
Step 3 : calculate 日
日的参数=DATE(年,月,日)-DATE(1900,1,1)+12-IF(DATE(年,月,日)>DATE(1900,2,29),2,0)
日天干=MID(天干,MOD(日的参数-1,10)+1,1)
日地支=MID(地支,MOD(日的参数-1,12)+1,1)
日柱=CONCAT(日天干,日地支)
Step 4 : calculate 时
时的参数=MOD(IF(ISEVEN(时),时,时+1),24)/2+1+MID(天干日数,FIND(日天干,天干),1)
时天干=MID(天干,MOD(时的参数-1,10)+1,1)
时地支=MID(地支,MOD(IF(ISEVEN(时),时,时+1),24)/2+1,1)
时柱=CONCAT(时天干,时地支)
Note:
If use google sheet =1
If use ms excel = 2
Input:
Output:
Adjust according to
your 24节气table
大运
=IF(IF(命=“男”,“阳”,“阴”)=IF(ISODD(FIND(年天
干,天干)),"阳","阴"), "顺排","逆排")
起运数
=ABS(ROUND((INDEX(Table2[Date],IF(大运=“顺
排”, MATCH(DATE(年,月,日),
Table2[Date],1)+1,MATCH(DATE(年,月,
日),Table2[Date],1)))-DATE(年,月,日))/3,0))
1
Note:
“IF” can use inside other
formula to shorten
2
3

主客生克
土土同我
火火同我
木木同我
水水同我
金金同我
土木克我
火水克我
木金克我
水土克我
金火克我
土火生我
火木生我
木水生我
水金生我
金土生我
土水我克
火金我克
木土我克
水火我克
金木我克
土金我生
火土我生
木火我生
水木我生
金水我生
Result(F
) 十神(F) 简(F)
同同我比肩比
异同我劫财劫
同我生食神食
异我生伤官伤
同我克偏财才
异我克正财财
同克我七杀杀
异克我正官官
同生我偏印枭
异生我正印印
Table1 : 天干 (F)
地支 (F)
Medium : Convert 八字 to 十神
1
地支阴阳五行藏干
子阳水癸
丑阴土己癸辛
寅阳木甲丙戊
卯阴木乙
辰阳土戊乙癸
巳阴火丙戊庚
午阳火丁己
未阴土己丁乙
申阳金庚壬戊
酉阴金辛
戌阳土戊辛丁
亥阴水壬甲
天干阴阳五行
甲阳木
乙阴木
丙阳火
丁阴火
戊阳土
己阴土
庚阳金
辛阴金
壬阳水
癸阴水
五行生克(F) 十神(F) 2 x 5 = 10
Result
(V)
=CONCAT(IF(日天干阴阳=[@阴阳],"同","
异"),VLOOKUP(CONCAT(日天干五行,
[@五行]),五行生克,2,FALSE))
十神 (V) =VLOOKUP([@Result],十神,2,FALSE)
简 (V) =VLOOKUP([@Result],十神,3,FALSE)
天干 = {甲乙丙丁戊己庚辛壬癸}
日天干参数 =FIND(日天干,天干)
日天干阴阳 =INDEX(Table1[阴阳],日天干参数)
日天干五行 =INDEX(Table1[五行],日天干参数)
Note:
(F)= Fixed
(V)=Dynamic

年运转
1924 4 8
1944 5 0
1964 6 1
1984 7 2
2004 8 3
2024 9 4
2044 1 5
2064 2 6
2084 3 7
4 9 2
3 5 7
8 1 6
7 3 5
6 8 1
2 4 9
度向坐宅 Col
0 子午坎 2
7.5 癸丁坎 3
22.5 丑未艮 1
37.5 艮坤艮 2
52.5 寅申艮 3
67.5 甲庚震 1
82.5 卯酉震 2
97.5 乙辛震 3
112.5 辰戌巽 1
127.5 巽乾巽 2
142.5 巳亥巽 3
157.5 丙壬离 1
172.5 午子离 2
187.5 丁癸离 3
202.5 未丑坤 1
217.5 坤艮坤 2
232.5 申寅坤 3
247.5 庚甲兑 1
262.5 酉卯兑 2
277.5 辛乙兑 3
292.5 戌辰乾 1
307.5 乾巽乾 2
322.5 亥巳乾 3
337.5 壬丙坎 1
352.5 子午坎 2
巽离坤
震兑
艮坎乾
宅(F) 转(F)
1 2 3
1 阳阴阴 5
2 阴阳阳 6
3 阳阴阴 7
4 阴阳阳 8
5 阴阳阳 0
6 阴阳阳 1
7 阳阴阴 2
8 阴阳阳 3
9 阳阴阴 4
坐
向
100
6 1 8
7 5 3
2 4 9
4 9 2
3 5 7
8 1 6
1
6
阳图(F)
阴图(F)
1
2
3
后天八卦(F)
Medium : 飞星布局
MOD(N+九运 -1,9)+1
6 5 0
1 3
4 2 7
110 101 000
001 011
100 010 111
巽离坤
震兑
艮坎乾
后天八卦(F)
Note:
=DEC2BIN(N,3)
洛书(F)
坐(V)
向(V)
阴阳=Index(宅,Row,Col)
转 =Index(转,Row)
=MOD(IF(坐="阳",阳图
,阴图)+ 转 -1,9)+1
=MOD(IF(向="阳",阳图
,阴图)+ 转 -1,9)+1
九运(F)
坐向(F)

巽离坤
震兑
艮坎乾
4 9 2
3 5 7
8 1 6
宅
宅卦(V)
乾 1
兑 2
艮 3
离 4
坎 5
坤 6
震 7
巽 8
NNN 伏位
YYN 五鬼
NYY 天医
YNN 生气
YYY 延年
NYN 绝命
NNY 祸害
YNY 六煞
6 金
7 金
9 火
3 木
4 木
1 水
2 土
5 土
8 土
中(V) 八个方位(V)
主客 Result action
土土当令旺
火火当令旺
木木当令旺
水水当令旺
金金当令旺
土木克我煞
火水克我煞
木金克我煞
水土克我煞
金火克我煞
土火生我生
火木生我生
木水生我生
水金生我生
金土生我生
土水我克死
火金我克死
木土我克死
水火我克死
金木我克死
土金我生泄
火土我生泄
木火我生泄
水木我生泄
金水我生泄
爻一样 = N
爻不一样 = Y
后天八卦(F)
年元
1864 上
1924 中
1984 下
2044 上
2104 中
2164 下
命卦(V)
Medium : 八宅风水
宅卦转到0度
X
1
0度
乾
MOD(N+宅卦转 -1,9)+1
6 金
7 金
9 火
3 木
4 木
1 水
2 土
5 土
8 土
NNN 伏位
YYN 五鬼
NYY 天医
YNN 生气
YYY 延年
NYN 绝命
NNY 祸害
YNY 六煞
宅卦转(F)
2
3
4
五行生克(F)
三元(F)
宅(V)
九宫格(F)

甲子甲戌甲申甲午甲辰甲寅
乙丑乙亥乙酉乙未乙巳乙卯
丙寅丙子丙戌丙申丙午丙辰
丁卯丁丑丁亥丁酉丁未丁巳
戊辰戊寅戊子戊戌戊申戊午
己巳己卯己丑己亥己酉己未
庚午庚辰庚寅庚子庚戌庚申
辛未辛巳辛卯辛丑辛亥辛酉
壬申壬午壬辰壬寅壬子壬戌
癸酉癸未癸巳癸卯癸丑癸亥
甲
乙
丙
丁
戊
己
庚
辛
壬
癸
Row =MATCH(LEFT(时),天干,0)
Col =MATCH(时,INDEX(60甲子,Row,0),0)
符头 =INDEX(INDEX(60甲子,1,0),,柱)
旬首 =INDEX(天干,Col+4)
宫天盘星图(F) 天盘门图 (F) 八诈门图 (阳) (F)
八诈门图 (阴)
(F)
No
1 天蓬休门值符值符 1
8 天任生门滕蛇九天 2
3 天冲伤门太阴九地 3
4 天辅杜门六合玄武 4
9 天英景门勾陈白虎 5
2 天芮死门朱雀六合 6
7 天柱惊门九地太阴 7
6 天心开门九天滕蛇 8
5 天芮死门朱雀六合 9
60甲子天干
=INDEX(range,0,n) // entire column
=INDEX(range,n,0) // entire row
Complex : 奇门遁甲
Table 5:宫
Table 4:阳遁,阴遁
Total = 2 x 9 x 60 = 1080 possibility
值符宫 =MATCH(值符,Table5[天盘星图(F)],0)
值使宫 =MATCH(值使,Table5[天盘门图 (F)],0)
星宫 =MATCH(星,Table5[宫],0)
门宫 =MATCH(门,Table5[宫],0)
值符 =INDEX(Table4[天盘星图(v)],Col)
值使 =INDEX(Table4[天盘门图(v)],Col)
星 =IF(遁="阳",MOD(阳星+局-2,9)+1,
MOD(阴星+局-2,9)+1)
门 =IF(遁="阳",MOD(阳门+局-2,9)+1,
MOD(阴门+局-2,9)+1)
阳星 =CHOOSE(Row,CHOOSE(Col,1,2,3,4,5,6
),
9,8,7,1,2,3,4,5,6)
阴星 =CHOOSE(Row,CHOOSE(Col,1,9,8,7,6,5
),
2,3,4,1,9,8,7,6,5)
阳门 =MOD((Col-1)*10+Row-1,9)+1
阴门 =CHOOSE(MOD((Col-1)*10+Row-1,9)+1,
顺序(V) =INDEX([顺序(F)],IF(遁="阳",MOD([@阳
遁]-局,9)+1,MOD([@阴遁]+局-2,9)+1))
天盘星图(V) =INDEX([天盘星图(F)],IF(遁="阳
",MOD([@阳遁]+局-2,9)+1,MOD([@阴
遁]+局-2,9)+1))
天盘门图(V) =INDEX([天盘门图(F)],IF(遁="阳
",MOD([@阳遁]+局-2,9)+1,MOD([@阴
遁]+局-2,9)+1))
地盘奇子(V) =INDEX(Table4[顺序(V)],[@宫])
天盘奇子(V) =INDEX([地盘奇子(v)],MOD([@No]+值符宫-星宫-
1,8)+1)
天盘星图(V) =INDEX([天盘星图(F)],MOD([@No]+值符宫-星宫-
1,8)+1)
天盘门图(V) =INDEX([天盘门图 (F)],MOD([@No]+值使宫-门宫-
1,8)+1)
八诈门图(V) =INDEX(IF(遁="阳",[八诈门图 (阳) (F)],[八诈门图 (阴)
(F)]),MOD([@No]-星宫,8)+1)
阳遁阴遁顺序(F) 天盘星图(F) 天盘门图(F)
1 1 戊天蓬休门
2 9 己天芮死门
3 8 庚天冲伤门
4 7 辛天辅杜门
5 6 壬天芮死门
6 5 癸天心开门
7 4 丁天柱惊门
8 3 丙天任生门
9 2 乙天英景门
时
遁, 局
时
遁, 局, 时
宫
遁, 局, 时,宫
1
2
3
4
5

No 地盘(F) 昼夜(F) 顺逆(F) 顺(F) 逆(F)
1 子夜顺贵贵
2 丑夜顺蛇后
3 寅夜顺朱阴
4 卯昼顺合玄
5 辰昼顺勾常
6 巳昼逆青白
7 午昼逆空空
8 未昼逆白青
9 申昼逆常勾
10 酉夜逆玄合
11 戌夜逆阴朱
12 亥夜顺后蛇
No 天干(F) 地盘(F) 昼贵(F) 夜贵(F)
1 甲寅丑未
2 乙辰子申
3 丙巳亥酉
4 丁未亥酉
5 戊巳丑未
6 己未子申
7 庚申丑未
8 辛戌午寅
9 壬亥巳卯
10 癸丑巳卯
11 空
12 空
月支参数(V) =MATCH(月支;Table2[地盘];0)
时支参数(V) =MATCH(时支;Table2[地盘];0)
月将加时(V) =月支参数-时支参数
日干参数(V) =MATCH(日干;Table3[天干];0)
昼贵参数(V) =MATCH(INDEX(Table3[昼贵];日干
参数);Table2[天盘];0)
夜贵参数(V) =MATCH(INDEX(Table3[夜贵];日干
参数);Table2[天盘];0)
昼贵顺逆(V) =INDEX(Table2[顺逆];昼贵参数)
夜贵顺逆(V) =INDEX(Table2[顺逆];夜贵参数)
昼夜(V) =INDEX(Table2[昼夜];时支参数)
Table 2:
Table 3:
天盘(V) =INDEX([地盘];MOD([@No]+月将加时-
1;12)+1)
昼贵(V) =INDEX(IF(昼贵顺逆="顺
";[顺];[逆]);MOD([@No]-昼贵参数;12)+1)
夜贵(V) =INDEX(IF(夜贵顺逆="顺
";[顺];[逆]);MOD([@No]-夜贵参数;12)+1)
昼夜合(V)=IF(昼夜="昼";CONCATENATE([@夜
贵];[@昼贵]);CONCATENATE([@昼
贵];[@夜贵]))
4 3 2 1
A =INDEX(Table2[昼
夜合]; MATCH(B4;
Table2[天盘];0))
=INDEX(Table2[
昼夜合];
MATCH(B3;
Table2[天盘];0))
=INDEX(Table2[昼
夜合]; MATCH(B2;
Table2[天盘];0))
=INDEX(Table2[昼夜
合]; MATCH(B1;
Table2[天盘];0))
B =MID(天盘;
FIND(C14;地盘);1)
=MID(天盘;
FIND(C14;地盘);1)
=MID(天盘;
FIND(C14;地盘);1)
=MID(天盘;
FIND(INDEX(Table3[
地盘];日干参数);地
盘);1)
C =B3 =日支 =B1 =日干
甲子转(V) =LET(r;FIND(日干;天
干);m;MATCH(CONCAT(日干;日
支);INDEX(甲子60;r;0);0);m*10-9)
六甲旬遁
旬空 (V)
=INDEX(Table2[地盘];MOD([@No]+
甲子转-2;12)+1)
主客 Result 六亲
土土兄弟
火火兄弟
木木兄弟
水水兄弟
金金兄弟
土木克我妻财
火水克我妻财
木金克我妻财
水土克我妻财
金火克我妻财
土火子孙
火木子孙
木水子孙
水金子孙
金土子孙
土水我克官鬼
火金我克官鬼
木土我克官鬼
水火我克官鬼
金木我克官鬼
土金父母
火土父母
木火父母
水木父母
金水父母
九宗法
初传
中传
末传
月将与占时相同
月将与占时相冲
四课中有上克下,下贼上,上神遥克日干者和日干遥
克上神
四课中既无下贼上克，又无遥克
九宗法+六亲
九宗法+昼夜合
九宗法+六甲旬遁旬空
1
2
3
Complex : 大六壬
=INDEX(三传;MATCH(MIN(
九宗法);九宗法;0)
四课:
三转:

No 涉害
1 水
2 土水
3 木木
4 木
5 土木
6 火火土
7 火
8 土火土
9 金金
10 金
11 土金
12 水水
上 34 =C13
上下五行 35 =VLOOKUP(CONCATENATE(C28;C27);五行生
克;2;FALSE)
上日干阴阳 36 =IF(AND(C35<>"";C29=日干阴阳);"阴阳";"")
涉害 37 =LET(x;FIND(C13;天盘)-FIND(C13;地盘);
m;SEQUENCE(IF(x+1<=0;x+12+1;x+1);1;FIND(C13;地
盘);1); r;VLOOKUP(IF(m>12;m-12;m);
Table1;2;FALSE); z;TEXTJOIN("";TRUE;r);
IF(C35="";"";LEN(z)-LEN(SUBSTITUTE(z;C28;""))))
孟 38 =LET(m;CONCAT(MID(天盘;FIND(孟;地盘);1));
IF(C37="";"";LEN(m)-LEN(SUBSTITUTE(m;C13;""))))
仲 39 =LET(m;CONCAT(MID(天盘;FIND(仲;地盘);1));
IF(C37="";"";LEN(m)-LEN(SUBSTITUTE(m;C13;""))))
四课上日干五行
40
=VLOOKUP(CONCATENATE(日干五行;C27);五行生
克;2;FALSE)
四课上日干阴阳
41
=IF(AND(C40<>"";C29=日干阴阳);"阴阳";"")
下贼上上克下
我克 = C 克我 = D Total = E
上下
45
=LET(m;四课
#;COUNTIFS(INDEX(m;2;0);我克克我))
=SUM(C45#)
阴阳
46
=LET(m;四课#;
COUNTIFS(INDEX(m;2;0);我克克我;
INDEX(m;3;0);阴阳))
=SUM(C46#)
涉害
47
=LET(m;四课#;
COUNTIFS(INDEX(m;2;0);我克克我;
INDEX(m;3;0);阴阳;
INDEX(m;4;0);涉害))
=SUM(C47#)
孟
48
=LET(m;四课#; IF(C46#>0;
COUNTIFS(INDEX(m;2;0);我克克
我;INDEX(m;3;0);阴
阳;INDEX(m;5;0);1);
我;INDEX(m;5;0);1)))
=SUM(C48#)
仲
49
=LET(m;四课#;IF(C46#>0;
我;INDEX(m;3;0);阴
阳;INDEX(m;6;0);1);
我;INDEX(m;6;0);1)))
=SUM(C49#)
遥克
50
=LET(m;四课#;
COUNTIFS(INDEX(m;7;0);我克克我))
=SUM(C50#)
阴阳
51
=LET(m;四课
#;COUNTIFS(INDEX(m;7;0);我克克
我;INDEX(m;8;0);阴阳))
=SUM(C51#)
Unique
52
LET(m;四课#;
COUNTIFS(IN
DEX(m;1;0);"
><"&""))
四课#
四课A#
我克 =F44 克我 =G44
上下
45
=LET(m;四课#; r;INDEX(m;2;0)=F44;
IF(C45=1;FILTER(INDEX(m;1;0);r;"");""))
阴阳
46
=LET(m;四课#;
r;(INDEX(m;2;0)=F44)*(INDEX(m;3;0)=阴
阳);
IF(C46=1; FILTER(INDEX(m;1;0);r);""))
涉害
47
=LET(m;四课#;
阳)*(INDEX(m;4;0)=涉害);
孟
48
=LET(m;四课#;
r;(INDEX(m;2;0)=F44)*(INDEX(m;5;0)=1)
;
IF(C48=1;FILTER(INDEX(m;1;0);IF(C46>0
; r*(INDEX(m;3;0)=阴阳);r);"");""))
仲
49
=LET(m;四课#;
r;(INDEX(m;2;0)=F44)*(INDEX(m;6;0)=1)
;IF(C49=1;FILTER(INDEX(m;1;0);IF(C46>
0; r*(INDEX(m;3;0)=阴阳);r);"");""))
遥克
50
=LET(m;四课#; r;INDEX(m;7;0)=F44;
阴阳
51
=LET(m;四课#;
阳);
Unique
52
C D E F
13 =MID(天盘;
FIND(C14;地盘);1)
=MID(天盘;
FIND(C14;地盘);1)
=MID(天盘;
FIND(C14;地盘);1)
=MID(天盘;
FIND(INDEX(Table3[
地盘];日干参数);地
盘);1)
14 =D13 =日支 =F13 =日干
孟# 巳申亥寅
仲# 午酉子卯
Table1
:
上五行 27 =MID(地盘五行;FIND(C13;地盘);1)
下五行 28 =MID(地盘五行;FIND(C14;地盘);1)
日干五行 =MID(天干五行;日干参数;1)
上阴阳 29 =MID(地盘阴阳;FIND(C13;地盘);1)
下阴阳 30 =MID(地盘阴阳;FIND(C14;地盘);1)
日干阴阳 =MID(天干阴阳;日干参数;1)
日干刑 =MID(刑;FIND(F13;地盘);1)
天干五行(F) 木木火火土土金金水水
地盘五行(F) 水土木木土火火土金金土水
天干阴阳(F) 阳阴阳阴阳阴阳阴阳阴
地盘阴阳(F) 阳阴阳阴阳阴阳阴阳阴阳阴
四课
Sequence
combine
with
Vlookup
涉害47=LET(m;四课#;MAX(INDEX(m;4;0)))
2
刑(F) 卯戌巳子自申自丑寅自未自
冲(F) 午未申酉戌亥子丑寅卯辰巳
驿马(F) 寅亥申巳寅亥申巳寅亥申巳
天干合(F) 未申戌亥丑寅辰巳未巳
地支合(F) 辰巳午未申酉戌亥子丑寅卯

NoName Category Criteria 初传中传末传
1 辛卯-3 Error =IF(CONCAT(日干;日支;“-”;FIND(“子”;天盘))=“辛卯-3“;[@No];"") 丑亥酉
2 戊戌-7 Error =IF(CONCAT(日干;日支;“-”;FIND(“子”;天盘))=“戊戌-7“; [@No];"") 巳亥巳
3 不虞格伏吟法 =LET(m;四课A#;x;INDEX(m;1;3);
IF(AND(月将加时=0;x=1); [@No];""))
=LET(m;四课#;FILTER(INDEX(m;1;0);INDEX(m;2;0)<>"";"")) =LET(m;MID(刑;FIND([@初传];天
盘);1);IF(m="自"; 日支天盘;m))
=LET(m;FIND([@中传];天盘);
MID(IF(MID(刑;m;1)="自";冲;刑);m;1))
4 自任格伏吟法 =LET(m;四课A#;x;INDEX(m;1;3);
IF(AND(月将加时=0;x=0;日干阴阳="阳";日干刑<>"自"); [@No];""))
=日干天盘 =LET(m;MID(刑;FIND([@初传];天
盘);1);IF(m="自";日支天盘;m))
=LET(m;FIND([@中传];天盘);IF(MID(
刑;m;1)="自";MID(冲;m;1);MID(刑;m;1)))
5 自信格伏吟法 =LET(m;四课A#;x;INDEX(m;1;3);
IF(AND(月将加时=0;x=0;日干阴阳="阴";日干刑<>"自"); [@No];""))
=日支天盘 =LET(m;MID(刑;FIND([@初传];天
盘);1);IF(m="自"; 日干天盘;m))
=LET(m;FIND([@中传];天盘);IF(MID(
刑;m;1)="自";MID(冲;m;1);MID(刑;m;1)))
6 杜传格伏吟法 =LET(m;四课A#;x;INDEX(m;1;3);
IF(AND(月将加时=0;x=0;日干刑="自"); [@No];""))
=日干天盘 =日支天盘 =MID(刑;FIND([@中传];IF(MID(刑;
FIND([@中传];天盘);1)="自";冲;天盘));1)
7 无依格反吟法 =IF(AND(ABS(月将加时)=6;COUNTBLANK(Criteria9to18)<10); [@No];"") =INDEX(初传9to18;MATCH(MIN(Criteria9to18);Criteria9to18;0)) =MID(冲;FIND([@初传];地盘);1) =MID(冲;FIND([@中传];地盘);1)
8 无亲格反吟法 =IF(AND(ABS(月将加时)=6;COUNTBLANK(Criteria9to18)=10); [@No];"") =MID(驿马;FIND(日支;地盘);1) =日支天盘 =日干天盘
9 重审课贼克法 =LET(m;四课A#;x;INDEX(m;1;1);y;INDEX(m;1;3);
IF(AND(x=1;y>0; y<=3); [@No];""))
=LET(m;四课A#;x;INDEX(m;1;4);x) =MID(天盘;FIND([@初传];地盘);1)=MID(天盘;FIND([@中传];地盘);1)
10元首课贼克法 =LET(m;四课A#;x;INDEX(m;1;2);y;INDEX(m;1;3);
IF(AND(x=1;y>0;y<=2); [@No];""))
11比用课比用法 =LET(m;四课A#;x;INDEX(m;1;1);y;INDEX(m;2;1);IF(AND(x>1;y=1);
[@No];""))
12知一课比用法 =LET(m;四课A#;x;INDEX(m;1;2);y;INDEX(m;2;2);IF(AND(x>1;y=1);
[@No];""))
13见机格涉害法 =LET(m;四课A#;x;INDEX(m;4;1);y;INDEX(m;4;2);IF(OR(x=1;y=1);
[@No];""))
=LET(m;四课A#; x;INDEX(m;4;1); y;INDEX(m;4;4);
z;INDEX(m;4;5);IF(x=1;y;z))
=MID(天盘;FIND([@初传];地盘);1)=MID(天盘;FIND([@中传];地盘);1)
14察微格涉害法 =LET(m;四课A#;x;INDEX(m;5;1);y;INDEX(m;5;2);
IF(OR(x=1;y=1); [@No];""))
15涉害格涉害法 =LET(m;四课A#;x;INDEX(m;3;3);IF(x=1; [@No];"")) =LET(m;四课A#; x;INDEX(m;3;1); y;INDEX(m;3;4);
16缀瑕格涉害法 =LET(m;四课A#;x;INDEX(m;3;3);IF(x>1; [@No];"")) =IF(日干阴阳="阳";日干天盘;日支) =MID(天盘;FIND([@初传];地盘);1)=MID(天盘;FIND([@中传];地盘);1)
17蒿矢格遥克法 =LET(m;四课A#;x;INDEX(m;8;3);y;INDEX(m;6;2);z;INDEX(m;7;2);
IF(AND(x>=3;OR(y=1;AND(y>1;z=1))); [@No];""))
18弹射格遥克法 =LET(m;四课A#;x;INDEX(m;8;3);y;INDEX(m;6;1);z;INDEX(m;7;1);
IF(AND(x>=3;OR(y=1;AND(y>1;z=1))); [@No];""))
19虎视格昴星法 =LET(m;四课A#;x;INDEX(m;8;3);IF(AND(x=4;日干阴阳="阳"); [@No];"")) =MID(天盘;FIND("酉";地盘);1) =日支天盘 =日干天盘
20冬蛇掩
目格
昴星法 =LET(m;四课A#;x;INDEX(m;8;3);IF(AND(x=4;日干阴阳="阴"); [@No];"")) =MID(地盘;FIND("酉";天盘);1) =日干天盘 =日支天盘
21别责法别责法 =LET(m;四课A#;x;INDEX(m;8;3);IF(x=3; [@No];"")) =LET(x;MID(天干合;FIND(日干;天干);1);y;MID(地支合;FIND(日支;
地盘);1);IF(日干阴阳="阳";MID(天盘;FIND(x;地盘);1);y))
=日干天盘 =日干天盘
22八专法八专法 =LET(m;四课A#;x;INDEX(m;8;3);IF(x=2; [@No];"")) =LET(x;FIND(日干天盘;天盘)+2;y;FIND(日支天盘;地盘)-
2;z;MOD(IF(日干阴阳="阳";x;y)-1;12)+1;MID(天盘;z;1))
=日干天盘 =日干天盘
九宗法

Search for NP problem
Objective:
1. Declare, Read and Write for the Array, Collection and Dictionary
2. Apply at Snake and Ladder game using do loop
3. Apply at Sudoku Solver using Back tracking Search
4. Apply at Tic Tac Toe using Search from game play
5. Apply at Monte Carlo Tree Search
6. Check the accuracy between actual with prediction
Why:
1. Reduce the interaction between worksheet function and VBA sub
procedure, then the speed will be more faster
2. To searching the best possible solution for solving NP problem

Array
Public arrA As Variant
ReDim arrA(1 To 8, 1 To 8)
arrA = Range(“A1:H8")
For row = 1 to 8
For col = 1 to 8
arrA(row,col) = cells(row,col)
Next
Next
Cells(13, "D").Resize(8, 8) = arrA
Collection with Class and Array
Set oColl = New clsMarkovChain
oColl.Board = Board
oColl.PlayerColor = PlayerColor
oColl.Position = Position
collA.Add oColl
Public collA As Collection
Public oColl As clsMarkovChain
ReDim arrt(1 To LastCol)
For i = 1 To collA.Count
Set oColl = collA(i)
arrA(i) = oColl.Board & "," &
oColl.PlayerColor &
oColl.Position & "," & result
Next
Cells(13, “D").Resize(1, collA.Count) = arrA
Enable Mircosoft Scripting Runtime
Dim dictA As New Scripting.Dictionary
For i = 1 To LastRow
If dictA.Exists(arrA(i, Col)) = True Then
dictA(arrA(i, Col)) = dictA(arrA(i, Col)) + 1
Else
dictA.Add arrA(i,Col), 1
End If
Next
ReDim arrA(1 To dictA.Count, 1 To 2)
Row = 1
For Each key In dictA
arrA(row, 1) = key
arrA(row, 2) = dictA(key)
row = row + 1
Next
Cells(13, “D").Resize(row-1,2) = arrA
Dictionary with Array

Snake and Ladder
From To Up/Down
1 38 Ladder
4 14 Ladder
9 31 Ladder
16 6 Snake
21 42 Ladder
28 84 Ladder
36 44 Ladder
47 26 Snake
49 11 Snake
51 67 Ladder
56 53 Snake
64 60 Snake
71 91 Ladder
80 100 Ladder
87 24 Snake
93 73 Snake
95 75 Snake
98 78 Snake
Start 0
Last 100
r = 0
Check = False
Do
'Add dice number
Randomize
Dice = Int((6 * Rnd) + 1)
Start = Start + Dice
'If more than 100
If Start > 100 Then Start = 200 - Start
'If hit the snake and ladder
For i = 1 To 18
If SnakeLadder(i, 1) = Start Then Start = SnakeLadder(i, 2)
Next
r = r + 1
If start = last Then Check = True
Loop Until Check = True
Find how many turn to finish the game? Looping
Input Data
Dice is
random from
1 to 6
Note: Random Integer Range
Int ((upperbound - lowerbound + 1) * Rnd + lowerbound)

Sudoku Solver
Constraint Propagation Search (Back Tracking)
(2) Hidden Single
IF(OR(COUNTIF(INDIRECT("Row"&[@Row]&"_"),N)=1,COUN
TIF(INDIRECT("Col"&[@Col]),N)=1,COUNTIF(INDIRECT("Bo
x"&[@Box]),N)=1),"",1)
N= 1, 2,3,4,5,6,7,8,9
=IF(COUNTIFS(INDIRECT("Table1[["&[@No]&"]:["&[@No]&"
]]"),[@Sum],Table1[N],N)=1,N,"")
No = Col, Row, Box
Sum = A to I, 1 to 9, A to I
N=1,2,3,4,5,6,7,8,9
(1) Naked Single
(1) Create a new copy of values for each recursive call to
search. The alternative is to keep track of each change to
values and undo the change when we hit a dead end.
Variable ordering (which square do we try first?)
• From Top to Bottom and Left to Right (Box1)
Value ordering (which digit do we try first for the square?)
• From Left to Right (Len1)
If Box1 = 1 And Len1 = 0 Then
MsgBox "Unsolvable Sudoku", vbExclamation
End If
If Len1 <= 0 Then
Range(Cells(Row1 + 1, 11), Cells(Row1 + 9, 20)).Clear
Range(Cells(Row0 + 1, 11), Cells(Row0 + 9, 20)).Copy Range("InputCopy")
Range(Cells(Box1 + 2, 22), Cells(Box1 + 2, 23)).Clear
Cells(Box1 + 1, 24) = Cells(Box1 + 1, 24) + 1
Cells(Box1 + 2, 24) = 1
Call FillLeftNumber
Else
Range(Cells(Row1 + 1, 11), Cells(Row1 + 9, 20)).Copy Range("InputCopy")
Cells(Box1 + 2, 24) = Cells(Box1 + 2, 24) + 1
Call FillLeftNumber
End If
(3) Fill Only One Possible

Tic Tac Toe
Create a Winner Determiner Function Search from game play
(1) Check Row, Column, Diagonal got
Win, Loss and Draw
(2) Check the number of empty
space for Row, Column and Diagonal
1. Collect the game play dataset in (Board,
Policy, Result)= Markov decision process
2. Check the empty space or legal move
got Player 1 Win, Player -1 Win and
Draw (for End game)
3. For the current state, check the win
possibility from the game play dataset
for Player 1 win, Player -1 win or Draw
for each policy (w/n) (for Middle game)
4. Calculate the win rate = (2)Empty space
+ (3)Dataset
5. Select the highest win rate, if got more
than one highest win rate, then
randomly select the highest win rate
1 2 3
Row 0 0 0
Col 0 0 0
Dia 0 0
Matrix to check empty space,
Win, Loss and Draw

Monte Carlo Tree Search (Simulation and Rollup)
1. Calculate the UCT
UCT(row, col) = w/n + C * Sqr(Log(N) / n), with C=Sqr(2)
1.1 If have prediction, suggestion PUCT
PUCT(row, col) = w/n + (PredictValue – w/n)/n + C *
PredictPolicy * Sqr(N) / (1 + n),
with C = Log((N+19652+1)/19652) + 2.5
2. Convert to List for Legal Move and UCT
i = 1
For row = 1 To 8
For col = 1 To 8
If LegalMove(row, col) <> "" Then
LegalMoveA(i) = LegalMove(row, col)
UCT(i) = UCT(row, col)
i = i + 1
End If
Next
Next
4. Extract the Max Value of UCT for the Legal Move
For i = 1 To col
If GetMaxValue <= UCT(i) Then GetMaxValue = UCT(i)
Next
j = 1
For i = 1 To col
If UCT(i) = GetMaxValue Then
LegalMoveA(j) = LegalMoveA(i)
j = j + 1
End If
Next
6. Random Select if Max Value of UCT is more than One
If j > 2 Then
Randomize
j = Int(1 + Rnd * (j - 1))
Position = LegalMoveA(j)
End If
3. Only One Legal Move
If i = 2 Then Position = LegalMoveA(1)
5. Only One Max Value of UCT
If j = 2 Then Position = LegalMoveA(1)
Predict from
Convolution Neural
Network or other
Evaluation

Observation Actual Training Predicted Classification
1 1 1 TP
2 0 0 TN
3 1 1 TP
4 1 0 FN
5 1 1 TP
6 1 0 FN
7 0 0 TN
8 0 0 TN
9 0 0 TN
10 0 1 FP
TP 3
FP 1
FN 2
TN 4
Precision (P) TP/(TP – FP) 0.75
Recall (R) TP/(TP – FN) 0.6
Accuracy (TP+TN)/(TP+FP+FN+TN) 0.7
F1 score 2*P*R/(P+R) 0.666666667
False positive rate (FPR) FP/(FP+TN) 0.2
True positive rate (TPR) TP/(TP+FN) 0.6
Check the accuracy
Root Mean Squared Error (RMSE).
=SQRT(SUMXMY2(Actual Training, Predicted)/No of Observation)
= 0.547722558
No d/dx equal
1 c 0
2 x^n n * x^(n-1)
3 a^x a^x * In a
4 a^u a^u * u' * In a
5 c * u c * u'
6 u * v u' * v + u * v'
7 u / v (v * u' - u * v') / v^2
8 f(g[u]) f'(g[u]) * g'[u] * u'
9 f(g[x]) f'(g[x]) * g'[x]
10 f(x)^ n n * f(x) ^ (n-1) * f'(x)
11 log a
(u)
u' / (u * In a)
12 In (u) u'/u
13 x^x x^x * (In x + 1)
c = constant
u = function
u' = d/dx [function]
v = function
v' = d/dx [function]
chain rule
In (y) = 1/y, if In (x) = 1/x
Logarithmic ,
Step 1: Both side "In",
Step 2: follow u * v,
Step 3: multiply y to the d/dx
The derivative of a function

An idea wants to be shared. And,
in the sharing, it becomes more
complex, more interesting, and
more likely to work for more
people.
—adrienne maree brown, writer
and activist

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