from sys import stdin

N, M = map(int, stdin.readline().split())
X = list(map(int, stdin.readline().split()))
Y = list(map(int, stdin.readline().split()))
Y.sort()
ymax = max(Y)
#print(Y)

def bintan(liste, cle):
    d = len(liste)
    g = -1

    while d - g > 1:
        moy = g + (d - g) // 2
        if liste[moy] >= cle:
            d = moy
        else:
            g = moy
    return d

for hito in X:
    i = bintan(Y, hito)
    if hito >= ymax:
        print("infinity")
    elif i >= M:
        i -= 1
        res = Y[i] - hito
        print("infinity" if res <= 0 else res)
    else:
        print(Y[i] - hito)