diff --git a/13_mcoloring.cpp b/13_mcoloring.cpp
new file mode 100644
index 0000000..4a0954f
--- /dev/null
+++ b/13_mcoloring.cpp
@@ -0,0 +1,44 @@
+#include<iostream>
+#include<queue>
+using namespace std;
+bool isSafe(int node, vector<vector<int>>graph,vector<int>node_color, int totalnodes, int colorchoosen){
+    for(int k=0;k<totalnodes;k++){
+        if(graph[k][node]==1 && node_color[k]==colorchoosen){
+            return false;
+        }
+    }
+    return true;
+}
+bool solve(int node, vector<vector<int>>graph, int totalcolors, vector<int>node_color, int totalnodes){
+    if(node==totalnodes){
+        return true;
+    }
+    for(int col=1;col<=totalcolors;col++){
+        if(isSafe(node,graph,node_color,totalnodes,col)){
+            node_color[node]=col;
+            if(solve(node+1,graph,totalcolors,node_color,totalnodes)){
+                return true;
+            }
+            node_color[node]=0;
+        }
+    }
+    return false;
+}
+
+int main(){
+    int totalnodes=4;
+    vector<vector<int>>graph = {
+        { 0, 1, 1, 1 },
+        { 1, 0, 1, 0 },
+        { 1, 1, 0, 1 },
+        { 1, 0, 1, 0 },
+    };
+    vector<int> node_color(totalnodes,0);
+    int totalcolors = 3;
+    if(solve(0,graph,totalcolors,node_color,totalnodes)){
+        cout<<"True";
+    }
+    else{
+        cout<<"False";
+    }
+}
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