from collections.abc import Iterable def accum_dp(xs: Iterable, f, op, e, init: dict, *, is_reset=True): dp = init.copy() for x in xs: pp = {} if is_reset else dp.copy() dp, pp = pp, dp for fm_key, fm_val in pp.items(): for to_key, to_val in f(fm_key, fm_val, x): dp[to_key] = op(dp.get(to_key, e), to_val) return dp # # 状態 # 0 = 不一致 # 1 = 4 まで一致 # 2 = 40 まで一致 def f(k, v, x): lz, st, lt = k # (leading zero, 状態, 未満か) if lz: for d in range(1, 10): nst = 1 if d == 4 else 0 yield (False, nst, True), 1 yield (True, 0, True), 1 # leading zero 維持 else: for d in range(10): if not lt and d > x: break if st == 2 and d == 4: continue # 404 nst = 0 match (st, d): case (0, 4): nst = 1 case (_, 4): nst = 1 case (1, 0): nst = 2 nlt = lt | (d < x) yield (False, nst, nlt), v def op(a, b): return (a + b) % MOD def digit_dp() -> int: digits = [int(c) for c in N] init = {(True, 0, True): 1} for d in range(1, digits[0]+1): lz = False st = 1 if d == 4 else 0 lt = d < digits[0] init[lz, st, lt] = init.get((lz, st, lt), 0) + 1 dp = accum_dp(digits[1:], f, op, 0, init) res = 0 for (lz, _, _), v in dp.items(): if lz: continue res += v res %= MOD return res MOD = 998244353 N = input() ans = digit_dp() print(ans)