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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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// version 2.0
fun binomial(n: Int, k: Int) = when {
n < 0 || k < 0 -> throw IllegalArgumentException("negative numbers not allowed")
n == k -> 1L
else -> {
val kReduced = min(k, n - k) // minimize number of steps
var result = 1L
var numerator = n
var denominator = 1
while (denominator <= kReduced)
result = result * numerator-- / denominator++
result
}
}
fun main(args: Array<String>) {
for (n in 0..14) {
for (k in 0..n)
print("%4d ".format(binomial(n, k)))
println()
}
}