import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
from math import acos, cos, sin, pi

N, L0, *L = map(int, read().split())

from_left = [(0, 0)] * N
from_right = [(0, 0)] * N

low = 0
high = 0
for i, x in enumerate(L[:-1]):
    if low <= x <= high:
        low = 0
    else:
        low = min(abs(low - x), abs(high - x))
    high = high + x
    from_left[i] = (low, high)

low = 0
high = 0
for i, x in enumerate(L[::-1][:-1]):
    if low <= x <= high:
        low = 0
    else:
        low = min(abs(low - x), abs(high - x))
    high = high + x
    from_right[i] = (low, high)
from_right = from_right[::-1]


def common_area(L, R1, R2):
    if R1 > R2:
        R1, R2 = R2, R1
    if R1 + R2 <= L:
        return 0
    if L + R1 <= R2:
        return R1 * R1 * pi
    # 2点で交わる場合
    theta_1 = acos((R1 * R1 + L * L - R2 * R2) / (2 * R1 * L))
    theta_2 = acos((R2 * R2 + L * L - R1 * R1) / (2 * R2 * L))

    S = R1 * R1 * (theta_1 - sin(theta_1) * cos(theta_1))
    S += R2 * R2 * (theta_2 - sin(theta_2) * cos(theta_2))
    return S


def f(L, r1, R1, r2, R2):
    S = common_area(L, R1, R2)
    S -= common_area(L, r1, R2)
    S -= common_area(L, R1, r2)
    S += common_area(L, r1, r2)
    return S


for (r1, R1), (r2, R2) in zip(from_left, from_right):
    print(f(L0, r1, R1, r2, R2))