n, m, k = gets.split.map(&:to_i) s = gets.chomp MODULO = 998244353 KMAX = 26 ORD_A = "a".ord kbits, kbc, result = 0, 0, 0 dp = Array.new(KMAX + 2, 0) def popcount32(x) x = ((x & 0xaaaaaaaa) >> 1) + (x & 0x55555555) x = ((x & 0xcccccccc) >> 2) + (x & 0x33333333) x = ((x & 0xf0f0f0f0) >> 4) + (x & 0x0f0f0f0f) x = ((x & 0xff00ff00) >> 8) + (x & 0x00ff00ff) x = ((x & 0xffff0000) >> 16) + (x & 0x0000ffff) x end s.bytes do |c| ci = c - ORD_A ndp = Array.new(KMAX + 2, 0) same = popcount32(kbits & ((1 << ci) - 1)) (1..KMAX).each do |j| ndp[j] = ((KMAX - j + 1) * dp[j - 1] + j * dp[j]) % MODULO end ndp[kbc] += same ndp[kbc + 1] += ci - same if (kbits & (1 << ci)) == 0 then kbits |= (1 << ci) kbc += 1 end if kbc >= k then result += 1 end result += ndp[k..KMAX].sum dp = ndp end if kbc >= k then result -= 1 end (n...m).each do |i| ndp = Array.new(KMAX + 2, 0) (1..KMAX).each do |j| ndp[j] = ((KMAX - j + 1) * dp[j - 1] + j * dp[j]) % MODULO end result += ndp[k..KMAX].sum dp = ndp end puts result % MODULO