Algorithm
Problem link- https://www.spoj.com/problems/FACTMUL/
FACTMUL - Product of factorials
You need to find the product of first n factorials 1! * 2! * ... * n! modulo 109546051211.
Input
One integer n (1 <= n <= 10000000)
Output
The answer.
Example
Input:
5
Output:
34560
Code Examples
#1 Code Example with Python Programming
Code -
Python Programming
N = int(input())
p = 1
fac = 1
for i in range(1, N + 1):
fac = fac * i % 109546051211
p = p * fac % 109546051211
if p == 0:
break
print(p)Input
5
Output
34560
#2 Code Example with Java Programming
Code -
Java Programming
import java.io.*;
import java.util.*;
class A{
public static void main(String[] args) {
final InputReader in = new InputReader(System.in);
final OutputWriter out = new OutputWriter(System.out);
Solver sol = new Solver();
// int t = in.readInt();
// while(t-- > 0){
sol.solve(in, out);
// }
out.flush();
out.close();
}
}
class Solver{
void solve(InputReader in, OutputWriter out){
final int n = in.readInt();
long fact = (long)1;
String input = "109546051211";
long mod = Long.parseLong(input);
long pro = (long)1;
for(int i = 2;i <= n; i++){
fact = (fact *i) % mod;
pro = ((pro)* (fact))%mod;
}
out.printLine(pro);
}
}
class InputReader{
private InputStream stream;
private byte[] buf = new byte[1024];
private int curChar;
private int numChars;
private SpaceCharFilter filter;
public InputReader(InputStream stream)
{
this.stream = stream;
}
public int read()
{
if (numChars == -1)
throw new InputMismatchException();
if (curChar >= numChars)
{
curChar = 0;
try
{
numChars = stream.read(buf);
} catch (IOException e)
{
throw new InputMismatchException();
}
if (numChars <= 0)
return -1;
}
return buf[curChar++];
}
public int readInt()
{
int c = read();
while (isSpaceChar(c))
c = read();
int sgn = 1;
if (c == '-')
{
sgn = -1;
c = read();
}
int res = 0;
do
{
if (c < '0' || c > '9')
throw new InputMismatchException();
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
public String readString()
{
int c = read();
while (isSpaceChar(c))
c = read();
StringBuilder res = new StringBuilder();
do
{
res.appendCodePoint(c);
c = read();
} while (!isSpaceChar(c));
return res.toString();
}
public double readDouble() {
int c = read();
while (isSpaceChar(c))
c = read();
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
double res = 0;
while (!isSpaceChar(c) && c != '.') {
if (c == 'e' || c == 'E')
return res * Math.pow(10, readInt());
if (c < '0' || c > '9')
throw new InputMismatchException();
res *= 10;
res += c - '0';
c = read();
}
if (c == '.') {
c = read();
double m = 1;
while (!isSpaceChar(c)) {
if (c == 'e' || c == 'E')
return res * Math.pow(10, readInt());
if (c < '0' || c > '9')
throw new InputMismatchException();
m /= 10;
res += (c - '0') * m;
c = read();
}
}
return res * sgn;
}
public long readLong() {
int c = read();
while (isSpaceChar(c))
c = read();
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
long res = 0;
do {
if (c < '0' || c > '9')
throw new InputMismatchException();
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
public boolean isSpaceChar(int c)
{
if (filter != null)
return filter.isSpaceChar(c);
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
public String next()
{
return readString();
}
public interface SpaceCharFilter
{
public boolean isSpaceChar(int ch);
}
}
class OutputWriter {
private PrintWriter writer;
public OutputWriter(OutputStream outputStream)
{
writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
}
public OutputWriter(Writer writer)
{
this.writer = new PrintWriter(writer);
}
public void print(Object... objects)
{
for (int i = 0; i < objects.length; i++)
{
if (i != 0)
writer.print(' ');
writer.print(objects[i]);
}
}
public void printLine(Object... objects)
{
print(objects);
writer.println();
}
public void close()
{
writer.close();
}
public void flush()
{
writer.flush();
}
} Input
5
Output
34560
Demonstration
SPOJ Solution-Product of factorials-Solution in C, C++, Java, Python