bigentermath 二项式()函数|番石榴| Java
原文:https://www . geesforgeks . org/bigintermath-binomial-function-guava-Java/
番石榴的 BigIntegerMath 类的二项式(int n，int k) 方法返回 n 选择 k ，也称为 n 和 k 的 二项式系数 ，即
n! / (k! (n - k)!)
语法:
public static BigInteger binomial(int n, int k)
参数:该方法取以下参数:
- n : Cardinality of binomial expansion.
- k : the power of binomial expansion.
返回值:该方法返回 n 和 k 的二项式系数。
异常:如果 n < 0，k < 0 或 k > n，此方法抛出T3 异常
注意:结果可以占用多达 O(k log n)的空间。
以下示例说明了 BigIntegerMath.binomial()方法:
例 1:
// Java code to show implementation of
// binomial(int n, int k) method
// of Guava's BigIntegerMath class
import java.math.*;
import com.google.common.math.BigIntegerMath;
class GFG {
// Driver code
public static void main(String args[])
{
int n = 5;
int k = 2;
// Using binomial(int n, int k) method of
// Guava's BigIntegerMath class
BigInteger ans = BigIntegerMath.binomial(n, k);
System.out.println("Binomial Coefficient of "
+ n + " & " + k
+ " is: " + ans);
int n1 = 15;
int k1 = 9;
// Using binomial(int n, int k) method of
// Guava's BigIntegerMath class
BigInteger ans1 = BigIntegerMath.binomial(n1, k1);
System.out.println("Binomial Coefficient of "
+ n1 + " & " + k1
+ " is: " + ans1);
}
}
输出:
Binomial Coefficient of 5 & 2 is: 10
Binomial Coefficient of 15 & 9 is: 5005
例 2:
// Java code to show implementation of
// binomial(int n, int k) method
// of Guava's BigIntegerMath class
import java.math.*;
import com.google.common.math.BigIntegerMath;
class GFG {
// Driver code
public static void main(String args[])
{
try {
int n = 5;
int k = 7;
// Using binomial(int n, int k) method of
// Guava's BigIntegerMath class
// This should raise "IllegalArgumentException"
// as k > n
BigInteger ans = BigIntegerMath.binomial(n, k);
System.out.println("Binomial Coefficient of"
+ n + " & " + k
+ " is: " + ans);
}
catch (Exception e) {
System.out.println("Exception: " + e);
}
}
}
输出:
Exception: java.lang.IllegalArgumentException: k (7) > n (5)
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