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a1paper.java
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78 lines (59 loc) · 1.23 KB
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import java.util.Scanner;
public class a1paper {
public static boolean possible(int[] nums , int pow2) {
int sum = 0;
int high = pow2;
for (int i = 0; i < nums.length; i++)
{
pow2 /= 2;
sum += pow2 * nums[i];
if (sum >= high)
return true;
}
return false;
}
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
int Asize = scan.nextInt() - 1;
int pow2 = (int)Math.pow(2, Asize);
int[] paper = new int[Asize];
for (int i = 0; i < paper.length; i++)
paper[i] = scan.nextInt();
if (possible(paper , pow2))
{
int sum = 0;
int high = pow2;
int index = 0;
for (int i = 0; i < paper.length; i++)
{
pow2 /= 2;
sum += pow2 * paper[i];
if (sum >= high)
{
index = i;
int sub = sum - high;
paper[index] -= sub;
break;
}
}
int[] a = new int[index + 1];
for (int i = 0; i < index + 1; i++)
a[i] = paper[i];
double length = 0;
double constant = Math.pow(2 , -((2 * index + 3.0) / 4));
double root2 = Math.sqrt(2);
for (int i = index; i >= 0; i--)
{
length += (a[i] / 2) * constant;
if (i == 0)
break;
a[i - 1] += a[i] / 2;
constant *= root2;
}
System.out.printf("%.6f" , length);
}
else
System.out.println("impossible");
scan.close();
}
}