📄 3789999_re.java
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import java.util.*;
import java.math.*;
public class Main {
private BigInteger[][] num;
private Scanner in;
public static void main(String[] args) {
new Main().run();
}
private void run() {
in = new Scanner(System.in);
num = new BigInteger[10][101];
int k, n;
while (in.hasNext()) {
k = in.nextInt();
n = in.nextInt();
for (int i = 0; i <= k; i++) {
num[i][1] = BigInteger.ONE;
}
for (int i = 2; i <= n; i++) {
num[0][i] = num[0][i - 1].add(num[1][i - 1]);
for (int j = 1; j < k; j++) {
num[j][i] = num[j - 1][i - 1].add(
num[j][i - 1].add(num[j + 1][i - 1]));
}
num[k][i] = num[k][i - 1].add(num[k - 1][i - 1]);
}
BigInteger tmp = BigInteger.ZERO;
for (int i = 0; i <= k; i++) {
tmp = tmp.add(num[i][n]);
}
BigInteger tight = tmp.multiply(new BigInteger("100000000"));
BigInteger total = BigInteger.valueOf(k + 1).pow(n);
tight = tight.divide(total);
double ans = tight.intValue();
System.out.format("%.5f\n", ans / 1000000.0);
}
}
}
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