import sys

readline = sys.stdin.readline

popcnt = [0] * (2 ** 12)
for t in range(1, 2 ** 12):
    popcnt[t] = 1 + popcnt[t & (t - 1)]

n, m, k = map(int, readline().split())

binom = [[0] * (n + 1) for _ in range(n + 1)]
for i in range(n + 1):
    binom[i][0] = 1
    for j in range(1, i + 1):
        binom[i][j] = binom[i - 1][j - 1] + binom[i - 1][j]

f = [0] * (2 ** n)

for i in range(m):
    # reversed, but it's ok
    s = int(readline(), 2)
    f[s] += 1

a = [0] * (n + 1)
for l in range(k, n + 1):
    a[l] = (-1) ** (l - k) * binom[l - 1][l - k]

# supset zeta
b = 1
while b < 2 ** n:
    for l in range(0, 2 ** n, 2 * b):
        for p in range(l, l + b):
            f[p] += f[p + b]
    b *= 2

for t in range(2 ** n):
    f[t] *= a[popcnt[t >> 12] + popcnt[t & 0xfff]]

del b

# subset zeta
b = 1
while b < 2 ** n:
    for l in range(0, 2 ** n, 2 * b):
        for p in range(l, l + b):
            f[p + b] += f[p]
    b *= 2

g = [n + 1] * (m + 1)
for t in range(2 ** n):
    g[f[t]] = min(g[f[t]], popcnt[t >> 12] + popcnt[t & 0xfff])

for p in reversed(range(m)):
    g[p] = min(g[p], g[p + 1])

print('\n'.join(map(str, g[1:])))