import sequtils
import strutils
import algorithm

const N_MAX: int = 24
const HALF_N_MAX: int = (N_MAX + 1) div 2
const MASK_HALF_N_MAX = (1 shl HALF_N_MAX) - 1

var binom: array[N_MAX + 1, array[N_MAX + 1, int]]
for i in 0 .. N_MAX:
    binom[i][0] = 1
    for j in 1 .. i:
        binom[i][j] = binom[i - 1][j - 1] + binom[i - 1][j]

var popcnt: array[1 shl HALF_N_MAX, int]
for t in 1 ..< 1 shl HALF_N_MAX:
    popcnt[t] = 1 + popcnt[t and (t - 1)]

var n, m, k: int
var nmk = stdin.readLine.split.map parseInt
n = nmk[0]
m = nmk[1]
k = nmk[2]

var f = newSeq[int](1 shl n)

for i in 0 ..< m:
    # reversed, but it's ok
    let s = stdin.readLine
    var x = 0
    for j in 0 ..< n:
        x += int(s[j] == '1') shl j
    f[x] += 1

var a = newSeq[int](n + 1)
for l in k .. n:
    a[l] = binom[l - 1][l - k]
    if bool((l - k) and 1):
        a[l] = -a[l]

# supset zeta
var b1 = 1
while b1 < 1 shl n:
    for l in countup(0, (1 shl n) - 1, 2 * b1):
        for p in l ..< l + b1:
            f[p] += f[p + b1]
    b1 *= 2

for t in 0 ..< 1 shl n:
    f[t] *= a[popcnt[t shr HALF_N_MAX] + popcnt[t and MASK_HALF_N_MAX]]

# subset zeta

var b2 = 1
while b2 < 1 shl n:
    for l in countup(0, (1 shl n) - 1, 2 * b2):
        for p in l ..< l + b2:
            f[p + b2] += f[p]
    b2 *= 2

var g = newSeq[int](m + 1)
for i in 0 .. m:
    g[i] = n
for t in 0 ..< 1 shl n:
    g[f[t]] = min(g[f[t]], popcnt[t shr HALF_N_MAX] + popcnt[t and MASK_HALF_N_MAX])

for p in countdown(m - 1, 0):
    g[p] = min(g[p], g[p + 1])

for p in 1 .. m:
    echo g[p]