boj_11444_피보나치수6

Author: kimhynsoo

Gold/boj_11444_피보나치수6.java

@@ -0,0 +1,44 @@
+import java.io.BufferedReader;
+import java.io.IOException;
+import java.io.InputStreamReader;
+
+public class boj_11444_피보나치수6 {
+    static long MOD =1_000_000_007;
+    static long[][] origin ={{1,1},{1,0}};
+
+    public static void main(String[] args) throws IOException{
+        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
+
+        long [][]A ={{1,1},{1,0}};
+
+        long N = Long.parseLong(br.readLine());
+        System.out.println(pow(A,N-1)[0][0]);
+    }
+
+    static long[][] pow (long[][]A,long exp){
+        if(exp==1||exp==0){
+            return A;
+        }
+
+        long[][] ret = pow(A, exp/2);
+        
+        ret = multiply(ret,ret);
+
+        if(exp%2==1L){
+            ret=multiply(ret,origin);
+        }
+        return ret;
+    }
+
+    static long[][] multiply(long[][]o1,long[][]o2){
+        long[][]ret=new long[2][2];
+
+
+		ret[0][0] = ((o1[0][0] * o2[0][0]) + (o1[0][1] * o2[1][0])) % MOD;
+		ret[0][1] = ((o1[0][0] * o2[0][1]) + (o1[0][1] * o2[1][1])) % MOD;
+		ret[1][0] = ((o1[1][0] * o2[0][0]) + (o1[1][1] * o2[1][0])) % MOD;
+		ret[1][1] = ((o1[1][0] * o2[0][1]) + (o1[1][1] * o2[1][1])) % MOD;
+
+        return ret;
+    }
+}