求解不定方程 $13x+19y=1$.
>> IndefiniteEquation(13,19)
in> IndefiniteEquation(13,19)
Solve the equation: 13*x+19*y = 1
19==1*13+6
13==2*6+1
1 2
test: 9==9*2-3*3
事实上, 19*2-13*3=-1
这里还需测试
test: 9*3-3*2, 结果是 21, 个位数是1, 符合要求.
>> IndefiniteEquation(19,21)
in> IndefiniteEquation(19,21)
Solve the equation: 19*x+21*y = 1
21==1*19+2
19==9*2+1
1 9
test: 9==1*9-9*0
in> IndefiniteEquation(13,19)
out>
Solve the equation: 13*x+19*y = 1
19==1*13+6
13==2*6+1
1 2
test: -1==9*2-3*3
13*3-19*2 == 1
x = 3+19t
y = -2-13t
-----------end---------