#include #define MOD 1000000007 #define MAX 200001 char a[MAX + 1], b[MAX + 1]; int p; long long int dp[MAX][6]; int has3_f(int n) { while(n != 0) { if(n % 10 == 3) { return 1; } n /= 10; } return 0; } void pre(int q) { int i, j, d = 1; for(i = 0; i < q; i++) { d *= 10; } for(i = 0; i < d; i++) { if(i % p != 0) { dp[q][ 3 * has3_f(i) + i % 3 ]++; } } // i < q は 0初期化されている for(i = q; i < MAX - 1; i++) { long long int t012 = (dp[i][0] + dp[i][1] + dp[i][2]) * 3 % MOD; long long int t345 = (dp[i][3] + dp[i][4] + dp[i][5]) * 3 % MOD; long long int t[3] = { (dp[i][0] + dp[i][3]) % MOD, (dp[i][1] + dp[i][4]) % MOD, (dp[i][2] + dp[i][5]) % MOD }; for(j = 0; j < 3; j++) { dp[i + 1][j] = t012; dp[i + 1][j + 3] = (t345 + t[j]) % MOD; } } return; } int f(char s[], int q) { int i = 0, j, k, len; while(s[i] != '\0') { i++; } len = i; long long int ans = 0; int mod3 = 0, has3 = 0; for(i = 0; i < len - q; i++) { int si = s[i] - '0'; for(j = 0; j < si; j++) { for(k = 0; k < 3; k++) { if( has3 || j == 3 || (mod3 + j + k) % 3 == 0 ) { ans += dp[len-1 - i][k]; } ans += dp[len-1 - i][k + 3]; } ans %= MOD; } mod3 = (mod3 + si) % 3; if(si == 3) { has3 = 1; } } int base = 1, lim = 0, r = (len < q ? len : q); for(i = 1; i <= r; i++) { lim += (s[len - i] - '0') * base; base *= 10; } for(i = 0; i <= lim; i++) { if( i % p != 0 && ( (mod3 + i) % 3 == 0 || has3 || has3_f(i) ) ) { ans++; } } return ans % MOD; } int main(void) { scanf("%s%s%d", a, b, &p); int q = 3; if(p == 80) { q = 4; } if(p == 800) { q = 5; } // a--; int i = 0; while(a[i + 1] != '\0') { i++; } while(a[i] == '0') { a[i] = '9'; i--; } a[i]--; pre(q); int v = ( f(b, q) - f(a, q) + MOD ) % MOD; printf("%d\n", v ); return 0; }