POJ 3233 Matrix Power Series Matrix multiplication

Source: Internet
Author: User

Even if it's a question... K is big, so we use sub-governance when adding up.

 


The rapid power of a matrix is also the idea of using sub-Governance

 


So it's a sub-governance + sub-governance question...

 


The main purpose of this question is to write a template to prevent future debugging of similar questions...

 

 

 


[Cpp]
# Include <functional>
# Include <algorithm>
# Include <iostream>
# Include <fstream>
# Include <sstream>
# Include <iomanip>
# Include <numeric>
# Include <cstring>
# Include <cassert>
# Include <cstdio>
# Include <string>
# Include <vector>
# Include <bitset>
# Include <queue>
# Include <stack>
# Include <cmath>
# Include <ctime>
# Include <list>
# Include <set>
# Include <map>
Using namespace std;
// Typedef long LL;
// Typedef _ int64 LL;
// Typedef long double DB;
// Typedef unisigned _ int64 LL;
// Typedef unsigned long ULL;
# Define EPS 1e-8
# Define maxn500050
# Define INF 0x3f3f3f
# Define PI acos (-1.0)
// # Define MOD 99991.
// # Define MOD 99990001.
// # Define MOD 1000000007.
# Define max (a, B) (a)> (B )? (A) (B ))
# Define min (a, B) (a) <(B )? (A) (B ))
# Define max3 (a, B, c) (max (a, B), c ))
# Define min3 (a, B, c) (min (a, B), c ))
# Define mabs (a) (a <0 )? (-A):)
# Define L (t) (t <1) // Left son t * 2
# Define R (t) (t <1 | 1) // Right son t * 2 + 1
# Define Mid (a, B) (a + B)> 1) // Get Mid
# Define lowbit (a) (a &-a) // Get Lowbit
Int gcd (int a, int B) {return B? Gcd (B, a % B): ;}
Int lcm (int a, int B) {return a * B/gcd (a, B );}
Struct matrix
{
Int ma [35] [35];
} First, result;
Int n, k, m;
/* Matrix multiplication */
Matrix operator * (matrix a, matrix B)
{
Matrix temp;
Memset (temp. ma, 0, sizeof (temp. ma ));
For (int I = 0; I <n; I ++)
For (int j = 0; j <n; j ++)
For (int k = 0; k <n; k ++)
Temp. ma [I] [j] = (temp. ma [I] [j] + (. ma [I] [k] * B. ma [k] [j]) % m;
Return temp;
}
/* Matrix addition */
Matrix operator + (matrix a, matrix B)
{
For (int I = 0; I <n; I ++)
For (int j = 0; j <n; j ++)
A. ma [I] [j] = (a. ma [I] [j] + B. ma [I] [j]) % m;
Return;
}
/* Rapid matrix power */
Matrix m_pow (matrix a, int n)
{
If (n = 1)
Return;
Matrix temp = m_pow (a, n/2 );
If (n & 1)
Return temp *;
Else
Return temp * temp;
 
}
/* Sub-governance solution! */
Matrix solve (matrix a, int now)
{
If (now = 1)
Return;
Int mid = now> 1;
Matrix temp = solve (a, mid );
If (now & 1)
Return temp + (m_pow (a, mid) * (temp + m_pow (a, mid + 1 )));
Else
Return temp + (m_pow (a, mid) * temp );
}
Int main ()
{
// Freopen ("in.txt", "r", stdin );
// Freopen ("out.txt," w ", stdout );
Cin> n> k> m;
For (int I = 0; I <n; I ++)
For (int j = 0; j <n; j ++)
Scanf ("% d", & first. ma [I] [j]);
Result = solve (first, k );
For (int I = 0; I <n; I ++)
{
For (int j = 0; j <n; j ++)
Cout <result. ma [I] [j] <"";
Cout <endl;
}
Return 0;
}

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