(SPOJ) Matrizes - Solution
Link to the problem: http://br.spoj.com/problems/MATRIZ2/
The solution below multiplies matrix A and matrix B in order to get only the answer for the required position. There is no need to calculate all the positions of matrix C.
import java.io.*;
import java.util.*;
class solucao {
public static int reader(BufferedReader br) throws NumberFormatException, IOException {
int n;
int resp = 0;
while (true) {
n = br.read();
if (n >= '0' && n <= '9') {
break;
}
}
while (true) {
resp = resp*10 + n-'0';
n = br.read();
if (n < '0' || n > '9') {
break;
}
}
return resp;
}
public void process() throws NumberFormatException, IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
int size = reader(br);
int P = reader(br);
int Q = reader(br);
int R = reader(br);
int S = reader(br);
int X = reader(br);
int Y = reader(br);
int row = reader(br);
int col = reader(br);
long result = 0;
// multiply all the elements in line I by the elements in column J
for (int i = 1; i <= size; i++) {
result += (((P*row+Q*i)%X) * ((R*i+S*col)%Y));
}
bw.write(result+"\n");
bw.flush();
bw.close();
return;
}
public static void main(String[] args) throws NumberFormatException, IOException {
solucao m = new solucao();
m.process();
System.exit(0);
}
}
The solution below multiplies matrix A and matrix B in order to get only the answer for the required position. There is no need to calculate all the positions of matrix C.
import java.io.*;
import java.util.*;
class solucao {
public static int reader(BufferedReader br) throws NumberFormatException, IOException {
int n;
int resp = 0;
while (true) {
n = br.read();
if (n >= '0' && n <= '9') {
break;
}
}
while (true) {
resp = resp*10 + n-'0';
n = br.read();
if (n < '0' || n > '9') {
break;
}
}
return resp;
}
public void process() throws NumberFormatException, IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
int size = reader(br);
int P = reader(br);
int Q = reader(br);
int R = reader(br);
int S = reader(br);
int X = reader(br);
int Y = reader(br);
int row = reader(br);
int col = reader(br);
long result = 0;
// multiply all the elements in line I by the elements in column J
for (int i = 1; i <= size; i++) {
result += (((P*row+Q*i)%X) * ((R*i+S*col)%Y));
}
bw.write(result+"\n");
bw.flush();
bw.close();
return;
}
public static void main(String[] args) throws NumberFormatException, IOException {
solucao m = new solucao();
m.process();
System.exit(0);
}
}
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