#include <bits/stdc++.h> using namespace std; long long first_digit(long long x){ if(x >= 10) return first_digit(x / 10); return x; } long long min(long long a , long long b){ if(a > b) return b; return a; } long long max(long long a , long long b){ if(a < b) return b; return a; } long long num_of_dig(long long x){ if(x >= 10) return 1 + num_of_dig(x / 10); return 1; } long long power(long long x, long long n){ if(n == 0) return 1; return x * power(x, n - 1); } long long remove_first(long long x){ long long f = first_digit(x); long long d = 1; while(f * 10 * d - x <= 0){ d *= 10; } return x - f * d; } bool is_pot(long long x){ bool present[10]; for (long long i = 0; i < 10; ++i) { present[i] = 0; } long long x_temp = x; while(x_temp > 0){ present[x_temp % 10] = true; x_temp /= 10; } if(present[0]) return false; for (long long i = 1; i < 10; ++i) { if(present[i] and x % i != 0){ return false; } } return true; } long long pot(long long l, long long r){ long long ans = 0; for (long long i = l; i <= r; ++i) { ans += is_pot(i); } return ans; } // DP[pierwsza cyfra][liczba cyfr][ograniczenia cyfrowe][reszta z dzielenia przez 63] long long DP[10][16][48][63]; // resrtykcja v_2:v_3:v_5:v_7 // czy cyfra spełnia restrykcję bool restr[10][48]; long long v_p(long long p, long long x){ if(x % p != 0) return 0; return 1 + v_p(p, x/p); } long long lic_eq(long long x){ long long last_three = x % 1000; long long x_div_1000 = x/1000; long long ans = 0; for (long long i = 1; i <= last_three; ++i) { //cout << x_div_1000 * 1000 + i << endl; ans += is_pot(x_div_1000 * 1000 + i); } //cout << "ans = " << ans << endl; return ans; } //long long dig(long long x, long long index){ // cout << "to do !" << endl; //} long long count(long long x, long long restrictions, long long residue, bool first){ //return 0; //cout << "x = " << x << endl; long long ans = 0; long long digits; long long rest_temp = restrictions; long long v_2 = rest_temp % 4; rest_temp /= 4; long long v_3 = rest_temp % 3; rest_temp /= 3; long long v_5 = rest_temp % 2; rest_temp /= 2; long long v_7 = rest_temp; if(x > 0){ long long f = first_digit(x) - 1; while(f > 0){ ans += DP[f][num_of_dig(x)][restrictions][residue]; f--; } if(first){ ans += DP[0][num_of_dig(x)][restrictions][residue]; } if(num_of_dig(x) - num_of_dig(remove_first(x)) > 1) return ans; //cout << first_digit(x) << endl; if(v_p(2, first_digit(x)) > v_2){ return ans; } if(v_p(3, first_digit(x)) > v_3){ return ans; } if(v_p(5, first_digit(x)) > v_5){ return ans; } if(v_p(7, first_digit(x)) > v_7){ return ans; } //cout << "a: " << count(remove_first(x), restrictions, ((residue - first_digit(x) * power(10, num_of_dig(x) - 1)) % 63 + 63) % 63) << endl; ans += count(remove_first(x), restrictions, ((residue - first_digit(x) * power(10, num_of_dig(x) - 1)) % 63 + 63) % 63, false); } return ans; } long long lic_higher(long long x){ //bool para[48] //cout << "B: " << x << endl; long long last_three = x % 1000; long long ans = 0; for (long long i = 1; i <= 999; ++i) { // najpierw trzeba zbadać restrykcje narzucane przez ostatnie 3 cyfry long long v_2, v_3, v_5, v_7; v_2 = v_3 = v_5 = v_7 = 0; bool b = false; long long d = 1; while(d <= 100){ long long cur_d = (i % (10 * d) - i % d)/ d; //if(i == 332) cout << "cur_d: " << cur_d << endl; if(cur_d == 0){ b = true; break; } v_2 = max(v_2, v_p(2, cur_d)); v_3 = max(v_3, v_p(3, cur_d)); v_5 = max(v_5, v_p(5, cur_d)); v_7 = max(v_7, v_p(7, cur_d)); d *= 10; } if(b){ continue; } //cout << v_2 << " " << v_3 << " " << v_5 << " " << v_7 << endl; if(i % power(2, v_2) != 0 or i % power(5, v_5) != 0){ //cout << i << endl; continue; } long long restrictions = v_p(2, i) + 4 * v_p(3, i) + 12 * v_p(5, i) + 24 * v_p(7, i); // 4332 //cout << "A" << endl; // potem dodajemy count dla każdej możliwej reszty for (long long r = 0; r < 63; ++r) { //cout << i << endl; long long total_r = 1000 * r + i; //cout << r << " " << (v_p(3, total_r) >= v_3) << " " << (v_p(7, total_r) >= v_7) << endl; if(v_p(3, total_r) >= v_3 and v_p(7, total_r) >= v_7){ restrictions = min(v_p(2, total_r), 3) + 4 * min(2, v_p(3, total_r)) + 12 * min(1, v_p(5, total_r)) + 24 * min(1, v_p(7, total_r)); if(i == 735){ //cout << "aa" << r << endl; //cout << "Aa: " << restrictions << endl; } //cout << 1000 * r + i << endl; //cout << x/1000 << " " << restrictions << " " << r << endl; ans += count(x/1000, restrictions, r, true); if(count(x/1000, restrictions, r, true) > 0){ //if(i == 735) cout << 1000 * r + i << endl; // v.push_back(i); //cout << "total_r = " << total_r << endl; } } } } return ans; } long long lic(long long x){ if(x < 1001){ return pot(1, x); } //cout << (x / 1000 ) * 1000 - 1<< endl; //cout << lic_higher((x / 1000 - 1) * 1000) << endl; return lic_eq(x) + lic_higher(x) + pot(1, 1000); } long long pow10[20]; int main(){ /*while(true){ long long a; cin >> a; cout << remove_first(a) << endl; }*/ cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(false); long long l, r; //cin >> l >> r; for(long long restrictions = 0; restrictions < 48; restrictions++){ long long rest_temp = restrictions; long long v_2 = rest_temp % 4; rest_temp /= 4; long long v_3 = rest_temp % 3; rest_temp /= 3; long long v_5 = rest_temp % 2; rest_temp /= 2; long long v_7 = rest_temp; //cout << v_2 << " " << v_3 << " " << v_5 << " " << v_7 << endl; for (long long i = 1; i < 10; ++i) { if(v_p(2, i) <= v_2 and v_p(3, i) <= v_3 and v_p(5, i) <= v_5 and v_p(7, i) <= v_7){ restr[i][restrictions] = true; //cout << i << " " << restrictions << endl; } } } pow10[0] = 1; for (long long i = 1; i < 20; ++i) { pow10[i] = (pow10[i - 1] * 10) % 63; //cout << pow10[i] << endl; } for(long long restrictions = 0; restrictions < 48; restrictions++){ long long rest_temp = restrictions; long long v_2 = rest_temp % 4; rest_temp /= 4; long long v_3 = rest_temp % 3; rest_temp /= 3; long long v_5 = rest_temp % 2; rest_temp /= 2; long long v_7 = rest_temp; for(long long first_digit = 1; first_digit <= 9; first_digit++){ // Sprawdzamy czy first_digit mieści się w restykcjach if(restr[first_digit][restrictions]){ DP[first_digit][1][restrictions][first_digit] += 1; //cout << first_digit << " " << restrictions << " " << first_digit << endl; } } } for(long long digits = 2; digits <= 15; digits++){ for(long long restrictions = 0; restrictions < 48; restrictions++){ long long rest_temp = restrictions; long long v_2 = rest_temp % 4; rest_temp /= 4; long long v_3 = rest_temp % 3; rest_temp /= 3; long long v_5 = rest_temp % 2; rest_temp /= 2; long long v_7 = rest_temp; for(long long first_digit = 0; first_digit <= 9; first_digit++){ if(first_digit == 0){ for(long long second_digit = 0; second_digit < 10; second_digit++){ for(long long rest = 0; rest < 63; rest++){ DP[0][digits][restrictions][rest] += DP[second_digit][digits - 1][restrictions][rest]; } //cout << first_digit << " " << digits << " " << restrictions << " " << rest << ": " << DP[first_digit][digits][restrictions][rest] << endl; } } // Sprawdzamy czy first_digit mieści się w restykcjach if(!restr[first_digit][restrictions]){ continue; } for(long long rest = 0; rest < 63; rest++){ for(long long second_digit = 1; second_digit < 10; second_digit++){ DP[first_digit][digits][restrictions][rest] += DP[second_digit][digits - 1][restrictions][((rest - first_digit * pow10[digits - 1]) % 63 + 63) % 63]; //cout << first_digit << " " << digits << " " << restrictions << " " << rest << ": " << DP[first_digit][digits][restrictions][rest] << endl; } } } } } /*long long f, d, rst, re; while(true){ cin >> f >> d >> rst >> re; cout << DP[f][d][rst][re] << endl; return 0; }*/ cin >> l >> r ;//>> r; /*lic(l); sort(v.begin(), v.end()); v.erase( unique( v.begin(), v.end() ), v.end() ); sort(v.begin(), v.end()); for(long long i : v){ cout << i << endl; }*/ cout << lic(r) - lic(l - 1) << endl; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 | #include <bits/stdc++.h> using namespace std; long long first_digit(long long x){ if(x >= 10) return first_digit(x / 10); return x; } long long min(long long a , long long b){ if(a > b) return b; return a; } long long max(long long a , long long b){ if(a < b) return b; return a; } long long num_of_dig(long long x){ if(x >= 10) return 1 + num_of_dig(x / 10); return 1; } long long power(long long x, long long n){ if(n == 0) return 1; return x * power(x, n - 1); } long long remove_first(long long x){ long long f = first_digit(x); long long d = 1; while(f * 10 * d - x <= 0){ d *= 10; } return x - f * d; } bool is_pot(long long x){ bool present[10]; for (long long i = 0; i < 10; ++i) { present[i] = 0; } long long x_temp = x; while(x_temp > 0){ present[x_temp % 10] = true; x_temp /= 10; } if(present[0]) return false; for (long long i = 1; i < 10; ++i) { if(present[i] and x % i != 0){ return false; } } return true; } long long pot(long long l, long long r){ long long ans = 0; for (long long i = l; i <= r; ++i) { ans += is_pot(i); } return ans; } // DP[pierwsza cyfra][liczba cyfr][ograniczenia cyfrowe][reszta z dzielenia przez 63] long long DP[10][16][48][63]; // resrtykcja v_2:v_3:v_5:v_7 // czy cyfra spełnia restrykcję bool restr[10][48]; long long v_p(long long p, long long x){ if(x % p != 0) return 0; return 1 + v_p(p, x/p); } long long lic_eq(long long x){ long long last_three = x % 1000; long long x_div_1000 = x/1000; long long ans = 0; for (long long i = 1; i <= last_three; ++i) { //cout << x_div_1000 * 1000 + i << endl; ans += is_pot(x_div_1000 * 1000 + i); } //cout << "ans = " << ans << endl; return ans; } //long long dig(long long x, long long index){ // cout << "to do !" << endl; //} long long count(long long x, long long restrictions, long long residue, bool first){ //return 0; //cout << "x = " << x << endl; long long ans = 0; long long digits; long long rest_temp = restrictions; long long v_2 = rest_temp % 4; rest_temp /= 4; long long v_3 = rest_temp % 3; rest_temp /= 3; long long v_5 = rest_temp % 2; rest_temp /= 2; long long v_7 = rest_temp; if(x > 0){ long long f = first_digit(x) - 1; while(f > 0){ ans += DP[f][num_of_dig(x)][restrictions][residue]; f--; } if(first){ ans += DP[0][num_of_dig(x)][restrictions][residue]; } if(num_of_dig(x) - num_of_dig(remove_first(x)) > 1) return ans; //cout << first_digit(x) << endl; if(v_p(2, first_digit(x)) > v_2){ return ans; } if(v_p(3, first_digit(x)) > v_3){ return ans; } if(v_p(5, first_digit(x)) > v_5){ return ans; } if(v_p(7, first_digit(x)) > v_7){ return ans; } //cout << "a: " << count(remove_first(x), restrictions, ((residue - first_digit(x) * power(10, num_of_dig(x) - 1)) % 63 + 63) % 63) << endl; ans += count(remove_first(x), restrictions, ((residue - first_digit(x) * power(10, num_of_dig(x) - 1)) % 63 + 63) % 63, false); } return ans; } long long lic_higher(long long x){ //bool para[48] //cout << "B: " << x << endl; long long last_three = x % 1000; long long ans = 0; for (long long i = 1; i <= 999; ++i) { // najpierw trzeba zbadać restrykcje narzucane przez ostatnie 3 cyfry long long v_2, v_3, v_5, v_7; v_2 = v_3 = v_5 = v_7 = 0; bool b = false; long long d = 1; while(d <= 100){ long long cur_d = (i % (10 * d) - i % d)/ d; //if(i == 332) cout << "cur_d: " << cur_d << endl; if(cur_d == 0){ b = true; break; } v_2 = max(v_2, v_p(2, cur_d)); v_3 = max(v_3, v_p(3, cur_d)); v_5 = max(v_5, v_p(5, cur_d)); v_7 = max(v_7, v_p(7, cur_d)); d *= 10; } if(b){ continue; } //cout << v_2 << " " << v_3 << " " << v_5 << " " << v_7 << endl; if(i % power(2, v_2) != 0 or i % power(5, v_5) != 0){ //cout << i << endl; continue; } long long restrictions = v_p(2, i) + 4 * v_p(3, i) + 12 * v_p(5, i) + 24 * v_p(7, i); // 4332 //cout << "A" << endl; // potem dodajemy count dla każdej możliwej reszty for (long long r = 0; r < 63; ++r) { //cout << i << endl; long long total_r = 1000 * r + i; //cout << r << " " << (v_p(3, total_r) >= v_3) << " " << (v_p(7, total_r) >= v_7) << endl; if(v_p(3, total_r) >= v_3 and v_p(7, total_r) >= v_7){ restrictions = min(v_p(2, total_r), 3) + 4 * min(2, v_p(3, total_r)) + 12 * min(1, v_p(5, total_r)) + 24 * min(1, v_p(7, total_r)); if(i == 735){ //cout << "aa" << r << endl; //cout << "Aa: " << restrictions << endl; } //cout << 1000 * r + i << endl; //cout << x/1000 << " " << restrictions << " " << r << endl; ans += count(x/1000, restrictions, r, true); if(count(x/1000, restrictions, r, true) > 0){ //if(i == 735) cout << 1000 * r + i << endl; // v.push_back(i); //cout << "total_r = " << total_r << endl; } } } } return ans; } long long lic(long long x){ if(x < 1001){ return pot(1, x); } //cout << (x / 1000 ) * 1000 - 1<< endl; //cout << lic_higher((x / 1000 - 1) * 1000) << endl; return lic_eq(x) + lic_higher(x) + pot(1, 1000); } long long pow10[20]; int main(){ /*while(true){ long long a; cin >> a; cout << remove_first(a) << endl; }*/ cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(false); long long l, r; //cin >> l >> r; for(long long restrictions = 0; restrictions < 48; restrictions++){ long long rest_temp = restrictions; long long v_2 = rest_temp % 4; rest_temp /= 4; long long v_3 = rest_temp % 3; rest_temp /= 3; long long v_5 = rest_temp % 2; rest_temp /= 2; long long v_7 = rest_temp; //cout << v_2 << " " << v_3 << " " << v_5 << " " << v_7 << endl; for (long long i = 1; i < 10; ++i) { if(v_p(2, i) <= v_2 and v_p(3, i) <= v_3 and v_p(5, i) <= v_5 and v_p(7, i) <= v_7){ restr[i][restrictions] = true; //cout << i << " " << restrictions << endl; } } } pow10[0] = 1; for (long long i = 1; i < 20; ++i) { pow10[i] = (pow10[i - 1] * 10) % 63; //cout << pow10[i] << endl; } for(long long restrictions = 0; restrictions < 48; restrictions++){ long long rest_temp = restrictions; long long v_2 = rest_temp % 4; rest_temp /= 4; long long v_3 = rest_temp % 3; rest_temp /= 3; long long v_5 = rest_temp % 2; rest_temp /= 2; long long v_7 = rest_temp; for(long long first_digit = 1; first_digit <= 9; first_digit++){ // Sprawdzamy czy first_digit mieści się w restykcjach if(restr[first_digit][restrictions]){ DP[first_digit][1][restrictions][first_digit] += 1; //cout << first_digit << " " << restrictions << " " << first_digit << endl; } } } for(long long digits = 2; digits <= 15; digits++){ for(long long restrictions = 0; restrictions < 48; restrictions++){ long long rest_temp = restrictions; long long v_2 = rest_temp % 4; rest_temp /= 4; long long v_3 = rest_temp % 3; rest_temp /= 3; long long v_5 = rest_temp % 2; rest_temp /= 2; long long v_7 = rest_temp; for(long long first_digit = 0; first_digit <= 9; first_digit++){ if(first_digit == 0){ for(long long second_digit = 0; second_digit < 10; second_digit++){ for(long long rest = 0; rest < 63; rest++){ DP[0][digits][restrictions][rest] += DP[second_digit][digits - 1][restrictions][rest]; } //cout << first_digit << " " << digits << " " << restrictions << " " << rest << ": " << DP[first_digit][digits][restrictions][rest] << endl; } } // Sprawdzamy czy first_digit mieści się w restykcjach if(!restr[first_digit][restrictions]){ continue; } for(long long rest = 0; rest < 63; rest++){ for(long long second_digit = 1; second_digit < 10; second_digit++){ DP[first_digit][digits][restrictions][rest] += DP[second_digit][digits - 1][restrictions][((rest - first_digit * pow10[digits - 1]) % 63 + 63) % 63]; //cout << first_digit << " " << digits << " " << restrictions << " " << rest << ": " << DP[first_digit][digits][restrictions][rest] << endl; } } } } } /*long long f, d, rst, re; while(true){ cin >> f >> d >> rst >> re; cout << DP[f][d][rst][re] << endl; return 0; }*/ cin >> l >> r ;//>> r; /*lic(l); sort(v.begin(), v.end()); v.erase( unique( v.begin(), v.end() ), v.end() ); sort(v.begin(), v.end()); for(long long i : v){ cout << i << endl; }*/ cout << lic(r) - lic(l - 1) << endl; } |