**Problem:**

Consider graphs built with the units A: and B: , where the units are glued along the vertical edges as in the graph .

A configuration of type (a,b,c) is a graph thus built of a units A and b units B, where the graph's vertices are coloured using up to c colours, so that no two adjacent vertices have the same colour.

The compound graph above is an example of a configuration of type (2,2,6), in fact of type (2,2,c) for all c [≥] 4.

Let N(a,b,c) be the number of configurations of type (a,b,c).

For example, N(1,0,3) = 24, N(0,2,4) = 92928 and N(2,2,3) = 20736.

Find the last 8 digits of N(25,75,1984).

A configuration of type (a,b,c) is a graph thus built of a units A and b units B, where the graph's vertices are coloured using up to c colours, so that no two adjacent vertices have the same colour.

The compound graph above is an example of a configuration of type (2,2,6), in fact of type (2,2,c) for all c [≥] 4.

Let N(a,b,c) be the number of configurations of type (a,b,c).

For example, N(1,0,3) = 24, N(0,2,4) = 92928 and N(2,2,3) = 20736.

Find the last 8 digits of N(25,75,1984).

**Solution:**

5482660

**Code:**

The solution may include methods that will be found here: Library.java .

The solution may include methods that will be found here: Library.java .

public interface EulerSolution{

public String run();

}

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