神奇数(前导零限制)
作者:
不知名的fE
,
2025-06-11 23:55:43
· 河北
,
所有人可见
,
阅读 2
import java.util.Arrays;
import java.util.Scanner;
public class Main {
static final int N = 210, mod = 998244353;
static int[] a = new int[N];
static long[][][] f = new long[N][10][2];
static int n;
//is_num避开非数的干扰
static long dfs(int u, int lim, boolean is_num, int op, int yu) {
if (u == n) {
if (!is_num) return 0;
if (lim == 1 && op > a[u]) return 0;
return (yu % op == 0) ? 1 : 0;
}
if (is_num && f[u][yu][lim] != -1)
return f[u][yu][lim];
long res = 0;
int up = (lim == 1) ? a[u] : 9;
for (int i = 0; i <= up; i++) {
res = (res + dfs(u + 1, lim & (i == up ? 1 : 0), is_num || i != 0, op, (yu + i) % op)) % mod;
}
if (is_num) f[u][yu][lim] = res;
return res;
}
static void init() {
for (int i = 0; i < N; i++)
for (int j = 0; j < 10; j++) {
Arrays.fill(f[i][j], -1);
}
}
static long get(String t) {
n = t.length();
for (int i = 1; i <= n; i++) a[i] = t.charAt(i - 1) - '0';
long res = 0;
for (int op = 1; op <= 9; op++) {
init();
res = (res + dfs(1, 1, false, op, 0)) % mod;
}
return res;
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
String s = sc.nextLine();
long ans = -get(s) + check();
ans += get(sc.nextLine());
System.out.println((ans % mod + mod) % mod);
}
static int check() {
if (a[n] == 0) return 0;
int sum = 0;
for (int i = 1; i < n; i++) sum += a[i];
return sum % a[n] == 0 ? 1 : 0;
}
}