--[[
x, y ∈ [1,9]
10x + y = a,
a^3 = c,是4位数
a^4 = d, 是6位数
c、d各数字正好是0~9中一个, 不重复
求x,y
]]
local Aarr = {}
for a=11,99 do
if(1000<=a*a*a and a*a*a<=9999)then
if(100000<=a*a*a*a and a*a*a*a <=999999)then
table.insert(Aarr,a)
--print(a)
end
end
end
--是否有重复
function isSame(arr)
local tempArr = {}
for k,v in pairs(arr)do
tempArr[v] = v
end
local tempLen = 0
for k,v in pairs(tempArr)do
tempLen = tempLen + 1
end
if(#arr ~= tempLen)then
return true
end
return false
end
function GetXYByA(a)
for x=1,9 do
for y=1,9 do
if(10*x+y==a)then
print("x=",x,"y=",y)
end
end
end
end
for k,a in pairs(Aarr)do
local arr = {}
c=a*a*a
q = math.modf(c/1000)
b = math.modf(c%1000 /100)
s = math.modf(c%100 /10)
g = math.modf(c%10)
d= c*a
sw = math.modf(d/100000)
w = math.modf(d%100000 /10000)
qq = math.modf(d%10000 /1000)
bb = math.modf(d%1000 /100)
ss = math.modf(d%100 /10)
gg = math.modf(d%10)
table.insert(arr,q)
table.insert(arr,b)
table.insert(arr,s)
table.insert(arr,g)
if(isSame(arr) == false)then
arr = {}
table.insert(arr,sw)
table.insert(arr,w)
table.insert(arr,qq)
table.insert(arr,bb)
table.insert(arr,ss)
table.insert(arr,gg)
if(isSame(arr) == false)then
print("a=",a,"c=",c,"d=",d)
GetXYByA(a)
end
end
end