PROGRAMMING:Location a
Please use C language to solve the problem
In the two-dimensional plane rectangular coordinate system, given the center coordinates and radius values of two circles respectively, please judge their position relationship.
The position relationship of two circles is as follows:
Outward: two circles have no intersection
Circumscribed: two circles have only one intersection, and the intersection is not inside any circle
Intersection: two circles have two intersections
Inscribed: two circles have only one intersection point, and except for the intersection point, one circle is inside the other circle
Inclusion: two circles have no intersection, and one circle is completely inside the other circle
Coincidence: two circles are completely coincident
The reference figures of these cases are as follows:
###Input format:
The input data are all integers, and the test data guarantee that all data ranges will not exceed 10000
Enter two lines of data in the following format
X1, Y1, R1
X2, Y2, R2
X1, Y1 and R1 represent the abscissa, ordinate and radius of the first circle respectively
X2, Y2 and R2 represent the abscissa, ordinate and radius of the second circle respectively
###Output format:
If separated, output * * separated**
If circumscribed, output * * circumscribed**
If intersected, output * * intersected**
If inscribed, output * * inscribed**
If included, output * * contained**
If it overlaps, output * * completely overlapping**
**After outputting data, you need to enter and wrap**
###Input example:
Here is a set of inputs. For example:
```in
1 1 1
100 100 2
```
###Output example:
The corresponding output is given here. For example:
```out
Separated
```
answer：If there is no answer, please comment
d > r1+r2
d==r1+r2
|r1-r2|d==|r1-r2|
0<=d<|r1-r2|
d=0 && r1==r2
In the two-dimensional plane rectangular coordinate system, given the center coordinates and radius values of two circles respectively, please judge their position relationship.
The position relationship of two circles is as follows:
Outward: two circles have no intersection
Circumscribed: two circles have only one intersection, and the intersection is not inside any circle
Intersection: two circles have two intersections
Inscribed: two circles have only one intersection point, and except for the intersection point, one circle is inside the other circle
Inclusion: two circles have no intersection, and one circle is completely inside the other circle
Coincidence: two circles are completely coincident
The reference figures of these cases are as follows:
###Input format:
The input data are all integers, and the test data guarantee that all data ranges will not exceed 10000
Enter two lines of data in the following format
X1, Y1, R1
X2, Y2, R2
X1, Y1 and R1 represent the abscissa, ordinate and radius of the first circle respectively
X2, Y2 and R2 represent the abscissa, ordinate and radius of the second circle respectively
###Output format:
If separated, output * * separated**
If circumscribed, output * * circumscribed**
If intersected, output * * intersected**
If inscribed, output * * inscribed**
If included, output * * contained**
If it overlaps, output * * completely overlapping**
**After outputting data, you need to enter and wrap**
###Input example:
Here is a set of inputs. For example:
```in
1 1 1
100 100 2
```
###Output example:
The corresponding output is given here. For example:
```out
Separated
```
answer：If there is no answer, please comment
d > r1+r2
d==r1+r2
|r1-r2|
0<=d<|r1-r2|
d=0 && r1==r2