Created
December 21, 2016 11:59
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Matrix exponentiation used in many areas - For finding recurrences, fibonocci sum, etc
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/* | |
Can be used for bigger powers but be careful of long value overflow | |
current[][] - is the initial state of the matrix used | |
result[][] - is the final matrix after exponentiation | |
power - in the argument tells the exponent of the matrix | |
choose mod accordingly ! | |
*/ | |
public class MatrixExponentiation{ | |
public static long[][] mult(long[][] A,long[][] B){ | |
long[][] C = new long[3][3]; | |
for(int i = 0; i <3; i++){ | |
for(int j = 0; j < 3; j++) { | |
long tmp=0L; | |
for(int k = 0; k < 3; k++) { | |
tmp += A[i][k]*B[k][j]; | |
} | |
C[i][j]= tmp%mod; | |
} | |
} | |
return C; | |
} | |
public static long[][] getM(long power){ | |
long[][] result = {{1,0,0},{0,1,0},{0,0,1}}; | |
long[][] current = {{0,0,3},{1,0,2},{0,1,1}}; | |
while(power>0){ | |
if(power%2==1){ | |
result = mult(result,current); | |
} | |
current = mult(current,current); | |
power = power/2; | |
} | |
return result; | |
} | |
} |
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