In computer science, multiply-with-carry (MWC) is a method invented by George Marsaglia for generating sequences of random integers based on an initial set from two to many thousands of randomly chosen seed values. The main advantage of the MWC method is that it invokes simple computer integer arithmetic and leads to the very fast generation of sequences of random numbers with immense periods, ranging from around 2^{60} to 2^{2000000}.

**Example:**

Input :Length = 5Output:1581 16 1932 1969 1384Input :Length = 2Output:985 3568

**Formula used:**

x(n) = (a*x(n-r) + c(n-1))mod n

c(n) = (a*x(n-r) + c(n-1))/n

where,

- a is any multiplier,
- m is modulus,
- c is carry, and
- r is a initial number of seeds.

## Java

`// Java Program to generate a random numbers ` `// Based on Multiply with carry method ` `import` `java.util.Random; ` `public` `class` `Main { ` ` ` ` ` `public` `static` `void` `main(String args[]) ` ` ` `{ ` ` ` `int` `Maximum_Sequence_Elements = ` `10` `; ` ` ` `Random random = ` `new` `Random(); ` ` ` `int` `Base = ` `2000` `; ` ` ` `int` `Multiplier = random.nextInt(Base); ` ` ` `int` `r = ` `1` `; ` ` ` `int` `[] c = ` `new` `int` `[Maximum_Sequence_Elements]; ` ` ` `int` `[] x = ` `new` `int` `[Maximum_Sequence_Elements]; ` ` ` `c[` `0` `] = random.nextInt(Multiplier); ` ` ` `x[` `0` `] = random.nextInt(Base); ` ` ` `System.out.print(` `"The random number sequence is: "` ` ` `+ x[` `0` `]); ` ` ` ` ` `// generating sequence ` ` ` ` ` `for` `(` `int` `i = ` `1` `; i < Maximum_Sequence_Elements; ` ` ` `i++) { ` ` ` `x[i] ` ` ` `= (Multiplier * x[i - r] + c[i - ` `1` `]) % Base; ` ` ` `c[i] ` ` ` `= (Multiplier * x[i - r] + c[i - ` `1` `]) / Base; ` ` ` `System.out.print(` `" "` `+ x[i]); ` ` ` `} ` ` ` `} ` `}` |

*chevron_right*

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**Output**

The random number sequence is: 508 1021 1549 857 414 1187 1425 1557 1945 1922

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