#coding:utf-8


def Num22Adic(n):
    #十进制转换为二进制
    x= bin(n)[2:]
    adic=[0]*8
    for k in range(len(x)):
        adic[8-len(x)+k]=int(x[k])
    
    return adic
    

#x与y的对应表
table = \
[   [0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B, 0xFE, 0xD7, 0xAB, 0x76],
   [0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0, 0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0],
   [0xB7, 0xFD, 0x93, 0x26, 0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15],
   [0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2, 0xEB, 0x27, 0xB2, 0x75],
   [0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0, 0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84],
   [0x53, 0xD1, 0x00, 0xED, 0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF],
   [0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F, 0x50, 0x3C, 0x9F, 0xA8],
   [0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5, 0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2],
   [0xCD, 0x0C, 0x13, 0xEC, 0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73],
   [0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14, 0xDE, 0x5E, 0x0B, 0xDB],
   [0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C, 0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79],
   [0xE7, 0xC8, 0x37, 0x6D, 0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08],
   [0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F, 0x4B, 0xBD, 0x8B, 0x8A],
   [0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E, 0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E],
   [0xE1, 0xF8, 0x98, 0x11, 0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF],
   [0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F, 0xB0, 0x54, 0xBB, 0x16]
]

# counts=[0]*256*256
#保存所有的result
results=[0]*255*255

#保存最大的十个result，及其对应的a,b
maxResults=[-1]*10
maxXFlags=[-1]*10
maxYFlags=[-1]*10
maxCounts=[-1]*10
#循环a,b
for xFlag in range(1,256):
    print 'xFlag:',xFlag
    for yFlag in range(1,256):
        count=0
        #对所有的x进行判断
        for x in range(256):
            
            #得到对应的y
            row=int(x/16)
            col = x -16*row
            
            y= table[row][col]
            #x=16*(row+1)+col+1
            #判断是否满足等式
            xx=Num22Adic(x&xFlag)
            yy=Num22Adic(y&yFlag)
            if (sum(xx)+sum(yy)) %2==0:
                count+=1

        #|count/256-0.5|
        percent=abs(count*1.0/256-0.5) 
        results[(xFlag-1)*255+yFlag-1]=percent
        
        #替换percent
        minMaxResult=min(maxResults)
        if percent>minMaxResult:
            minIndex = maxResults.index(minMaxResult)
            maxResults[minIndex]=percent
            maxXFlags[minIndex]=xFlag
            maxYFlags[minIndex]=yFlag
            maxCounts[minIndex]=count
        

#显示结果
print '最大的10个result：',maxResults
print '对应的count：',maxCounts

print '对应的等式(下标从0开始，低位到高位)：'

for k in range(len(maxResults)):
    strEquation=''
    xx=maxXFlags[k]
    yy=maxYFlags[k]
    xx=Num22Adic(xx)
    yy=Num22Adic(yy)
    for i in range(len(xx)):
        if xx[7-i]:
            strEquation +='x['+str(i)+']+'
    
    for i in range(len(yy)):
        if yy[7-i]:
            strEquation +='y['+str(i)+']+'
    
    strEquation=strEquation[0:-1]
    strEquation +=' = 0.'
    print strEquation

import os
os.system("pause")






