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最近一直在玩數獨,突發奇想實現影象識別求解數獨,輸入到輸出平均需要0.5s。

整體思路大概就是識別出圖中數字生成list,然後求解。

輸入輸出demo

數獨採用的是微軟自帶的Microsoft sudoku軟體隨便擷取的影象,如下圖所示:

經過程式求解後,得到的結果如下圖所示:

def getFollow(varset, terminalset, first_dic, production_list):

follow_dic = {}

done = {}

for var in varset:

follow_dic[var] = set()

done[var] = 0

follow_dic["A1"].add("#")

# for var in terminalset:

# follow_dic[var]=set()

# done[var] = 0

for var in follow_dic:

getFollowForVar(var, varset, terminalset, first_dic, production_list, follow_dic, done)

return follow_dic

def getFollowForVar(var, varset, terminalset, first_dic, production_list, follow_dic, done):

if done[var] == 1:

return

for production in production_list:

if var in production.right:

##index這裡在某些極端情況下有bug,比如多次出現var,index只會返回最左側的

if production.right.index(var) != len(production.right) - 1:

follow_dic[var] = first_dic[production.right[production.right.index(var) + 1]] | follow_dic[var]

# 沒有考慮右邊有非終結符但是為null的情況

if production.right[len(production.right) - 1] == var:

if var != production.left[0]:

# print(var, "吸納", production.left[0])

getFollowForVar(production.left[0], varset, terminalset, first_dic, production_list, follow_dic,

done)

follow_dic[var] = follow_dic[var] | follow_dic[production.left[0]]

done[var] = 1

程式具體流程

程式整體流程如下圖所示:

讀入影象後,根據求解輪廓資訊找到數字所在位置,以及不包含數字的空白位置,提取數字資訊透過KNN識別,識別出數字;無數字資訊的在list中置0;生成未求解數獨list,之後求解數獨,將資訊在原圖中顯示出來。

def initProduction():

production_list = []

production = Production(["A1"], ["A"], 0)

production_list.append(production)

production = Production(["A"], ["E", "I", "(", ")", "{", "D", "}"], 1)

production_list.append(production)

production = Production(["E"], ["int"], 2)

production_list.append(production)

production = Production(["E"], ["float"], 3)

production_list.append(production)

production = Production(["D"], ["D", ";", "B"], 4)

production_list.append(production)

production = Production(["B"], ["F"], 5)

production_list.append(production)

production = Production(["B"], ["G"], 6)

production_list.append(production)

production = Production(["B"], ["M"], 7)

production_list.append(production)

production = Production(["F"], ["E", "I"], 8)

production_list.append(production)

production = Production(["G"], ["I", "=", "P"], 9)

production_list.append(production)

production = Production(["P"], ["K"], 10)

production_list.append(production)

production = Production(["P"], ["K", "+", "P"], 11)

production_list.append(production)

production = Production(["P"], ["K", "-", "P"], 12)

production_list.append(production)

production = Production(["I"], ["id"], 13)

production_list.append(production)

production = Production(["K"], ["I"], 14)

production_list.append(production)

production = Production(["K"], ["number"], 15)

production_list.append(production)

production = Production(["K"], ["floating"], 16)

production_list.append(production)

production = Production(["M"], ["while", "(", "T", ")", "{", "D", ";", "}"], 18)

production_list.append(production)

production = Production(["N"], ["if", "(", "T", ")", "{", "D",";", "}", "else", "{", "D", ";","}"], 19)

production_list.append(production)

production = Production(["T"], ["K", "L", "K"], 20)

production_list.append(production)

production = Production(["L"], [">"], 21)

production_list.append(production)

production = Production(["L"], ["<"], 22)

production_list.append(production)

production = Production(["L"], [">="], 23)

production_list.append(production)

production = Production(["L"], ["<="], 24)

production_list.append(production)

production = Production(["L"], ["=="], 25)

production_list.append(production)

production = Production(["D"], ["B"], 26)

production_list.append(production)

production = Production(["B"], ["N"], 27)

production_list.append(production)

return production_list

source = [[5, "int", " 關鍵字"], [1, "lexicalanalysis", " 識別符號"], [13, "(", " 左括號"], [14, ")", " 右括號"], [20, "{", " 左大括號"],

[4, "float", " 關鍵字"], [1, "a", " 識別符號"], [15, ";", " 分號"], [5, "int", " 關鍵字"], [1, "b", " 識別符號"],

[15, ";", " 分號"], [1, "a", " 識別符號"], [12, "=", " 賦值號"], [3, "1.1", " 浮點數"], [15, ";", " 分號"], [1, "b", " 識別符號"],

[12, "=", " 賦值號"], [2, "2", " 整數"], [15, ";", " 分號"], [8, "while", " 關鍵字"], [13, "(", " 左括號"],

[1, "b", " 識別符號"], [17, "<", " 小於號"], [2, "100", " 整數"], [14, ")", " 右括號"], [20, "{", " 左大括號"],

[1, "b", " 識別符號"], [12, "=", " 賦值號"], [1, "b", " 識別符號"], [9, "+", " 加 號"], [2, "1", " 整數"], [15, ";", " 分號"],

[1, "a", " 識別符號"], [12, "=", " 賦值號"], [1, "a", " 識別符號"], [9, "+", " 加號"], [2, "3", " 整數"], [15, ";", " 分號"],

[21, "}", " 右大括號"], [15, ";", " 分號"], [6, "if", " 關鍵字"], [13, "(", " 左括號"], [1, "a", " 識別符號"],

[16, ">", " 大於號"], [2, "5", " 整數"], [14, ")", " 右括號"], [20, "{", " 左大括號"], [1, "b", " 識別符號"],

[12, "=", " 賦值號"], [1, "b", " 識別符號"], [10, "-", " 減號"], [2, "1", " 整數"], [15, ";", " 分號"], [21, "}", " 右大括號"],

[7, "else", " 關鍵字"], [20, "{", " 左大括號"], [1, "b", " 識別符號"], [12, "=", " 賦值號"], [1, "b", " 識別符號"],

[9, "+", " 加號"], [2, "1", " 整數"], [15, ";", " 分號"], [21, "}", " 右大括號"], [21, "}", " 右大括號"]]

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