n, m, k = gets.split.map(&:to_i) s = gets.chomp MODULO = 998244353 KMAX = 26 kbits, kbc, result = 0, 0, 0 dp = Array.new(KMAX + 2, 0) ndp = Array.new(KMAX + 2, 0) s.bytes do |c| ci = c - "a".ord ndp.fill(0) same = (kbits & ((1 << ci) - 1)).to_s(2).count('1') 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 (1..KMAX).each do |j| ndp[j] += j * dp[j] ndp[j + 1] += (KMAX - j) * dp[j] ndp[j] %= MODULO end (k..KMAX).each do |j| result += ndp[j] end dp, ndp = ndp, dp end if kbc >= k then result -= 1 end (n...m).each do |i| ndp.fill(0) (1..KMAX).each do |j| ndp[j] += j * dp[j] ndp[j + 1] += (KMAX - j) * dp[j] ndp[j] %= MODULO end (k..KMAX).each do |j| result += ndp[j] end dp, ndp = ndp, dp end puts result % MODULO