title background
Given undirected connected graph G and m different colors, use these color for each vertex shader, graph G each vertex with a color, if there is a staining method that each edge of two vertices in G with different colors, says the figure is m colorable, m coloring problem is for a given graph G and m colors, find out all the different coloring,
title description
For a given undirected connected graph G and m different colors, programming calculation chart of all the different coloring,
input format
Line 1 has three positive integer n, k and m, according to a given graph G n vertex and edge k, m colors, vertex Numbers for 1, 2,... , n, the next k lines, each line contains two positive integers, u, v, said one side of the graph G (u, v),
Output format
At the end of the program is running, to calculate the number of different coloring output,
# include
using namespace std;
Int n, k, m, ans;
Int mp [105] [105].
Int color [105];
Bool check (int x, int t) {//x node can dye color t
for(int i=1; i<=n; I++) {
If (mp [x] [I]==1 & amp; & T==color [I]) return false.
}
return true;
}
Void DFS (int sum) {
If (sum>=n) {
ans++;
return;
}
for(int i=1; i<=n; I++) {//a node
if(! Color [I]) {//the node without dyeing
For (int j=1; J<=m; J++) {//choose a color
If (check (I, j)) {//judge the node can dye the color
Color [I]=j;
DFS (sum + 1);
Color [I]=0;//dyeing
}
}
}
}
}
Int main () {
Cin> N> K> m;
//adjacency matrix
for(int i=0; iInt x, y;
Cin> X> y;
Mp [x] [y]=1;
Mp [y] [x]=1;
}
DFS (0);
coutreturn 0;
}
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