#pragma GCC optimize ("Ofast") #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define FOR(i, a, b) for (int i=(a); i<(b); i++) #define FORD(i, a, b) for (int i=(a); i>(b); i--) #define PPC(x) __builtin_popcount(x) #define MSB(x) (63 - __builtin_clzll(x)) #define SZ(x) ((int)(x).size()) #define HASK(S, x) (S.find(x) != S.end()) #define pb push_back #define ALL(x) (x).begin(), (x).end() #define ithBit(m, i) ((m) >> (i) & 1) #define ft first #define sd second #define kw(a) ((a) * (a)) #ifdef DEBUG #include "debug.h" #else #define dbg(...) 0 #endif using namespace std; const int L = 19, M = 1 << 9; long long dp[L][M][10][9][8][7], pow10[L]; bool valid[M][10][9][8][7]; bool check(long long x) { vector <int> digs; for (long long y = x; y != 0; y /= 10) digs.pb(y % 10); for (int d : digs) if (d == 0 or x % d != 0) return false; return true; } void init() { dp[0][0][0][0][0][0] = pow10[0] = 1ll; FOR(l, 1, L) FOR(m, 1, M) FOR(d, 1, 10) if (ithBit(m, d-1)) FOR(s9, 0, 9) FOR(r8, 0, 8) FOR(r7, 0, 7) { int det8 = (r8 - d + 16) & 7; if (det8 & 1) continue; int m2 = m ^ (1 << d-1); int i9 = (s9 - d + 9) % 9; int i7 = (r7 - d + 14) * 5 % 7; long long& stan = dp[l][m][d][s9][r8][r7]; FOR(c, 0, 10) stan += dp[l-1][m][c][i9][det8/2][i7], stan += dp[l-1][m][c][i9][det8/2 + 4][i7], stan += dp[l-1][m2][c][i9][det8/2][i7], stan += dp[l-1][m2][c][i9][det8/2 + 4][i7]; } FOR(i, 1, L) pow10[i] = pow10[i-1] * 10; FOR(m, 1, M) { int md = ~0, m9 = ~0, m8 = ~0, m7 = ~0; if (ithBit(m, 2-1)) md &= 0b010101010; if (ithBit(m, 3-1)) m9 &= 0b001001001; if (ithBit(m, 4-1)) m8 &= 0b00010001; if (ithBit(m, 5-1)) md &= 0b000010000; if (ithBit(m, 6-1)) md &= 0b010101010, m9 &= 0b001001001; if (ithBit(m, 7-1)) m7 &= 1; if (ithBit(m, 8-1)) m8 &= 1; if (ithBit(m, 9-1)) m9 &= 1; FOR(d, 1, 10) FOR(i9, 0, 9) FOR(i8, 0, 8) FOR(i7, 0, 7) if (ithBit(md, d-1) and ithBit(m9, i9) and ithBit(m8, i8) and ithBit(m7, i7)) valid[m][d][i9][i8][i7] = true; } } int itoa(long long x, char* res) { int n = 0; for (; x != 0; x /= 10) res[n++] = '0' + x%10; reverse(res, res+n); return n; } long long getDp(long long pref, int l, int mask, int s) { if (l == 0) return check(pref); long long ret = 0; FOR(m, 1, M) FOR(d, 1, 10) FOR(s9, 0, 9) FOR(r8, 0, 8) FOR(r7, 0, 7) { int mm = m | mask; int i9 = (s + s9) % 9; int i8 = (pref + r8) % 8; int i7 = (pref + r7) % 7; if (valid[mm][d][i9][i8][i7]) ret += dp[l][m][d][s9][r8][r7]; } return ret; } long long getLE(long long x) { char T[20]; int n = itoa(x, T), m = 0, s = 0; long long pref = 0, ret = 0; if (x != 0) ret = check(x); FOR(i, 1, n) ret += getDp(0, i, 0, 0); FOR(i, 0, n) { if (T[i] == '0') break; int len = n-i-1; FOR(d, 1, T[i]-'0') { pref += pow10[len]; s = (s + 1) % 9; ret += getDp(pref, len, m | (1 << d-1), s); } m |= 1 << (T[i]-'0')-1; pref += pow10[len]; s = (s + 1) % 9; } return ret; } long long query(long long a, long long b) { return getLE(b) - getLE(a-1); } void solve() { init(); long long a, b; scanf ("%lld%lld", &a, &b); printf("%lld\n", query(a, b)); } int main() { int t = 1; //scanf ("%d", &t); FOR(tid, 1, t+1) { //printf("Case #%d: ", tid); solve(); } return 0; }
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 | #pragma GCC optimize ("Ofast") #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define FOR(i, a, b) for (int i=(a); i<(b); i++) #define FORD(i, a, b) for (int i=(a); i>(b); i--) #define PPC(x) __builtin_popcount(x) #define MSB(x) (63 - __builtin_clzll(x)) #define SZ(x) ((int)(x).size()) #define HASK(S, x) (S.find(x) != S.end()) #define pb push_back #define ALL(x) (x).begin(), (x).end() #define ithBit(m, i) ((m) >> (i) & 1) #define ft first #define sd second #define kw(a) ((a) * (a)) #ifdef DEBUG #include "debug.h" #else #define dbg(...) 0 #endif using namespace std; const int L = 19, M = 1 << 9; long long dp[L][M][10][9][8][7], pow10[L]; bool valid[M][10][9][8][7]; bool check(long long x) { vector <int> digs; for (long long y = x; y != 0; y /= 10) digs.pb(y % 10); for (int d : digs) if (d == 0 or x % d != 0) return false; return true; } void init() { dp[0][0][0][0][0][0] = pow10[0] = 1ll; FOR(l, 1, L) FOR(m, 1, M) FOR(d, 1, 10) if (ithBit(m, d-1)) FOR(s9, 0, 9) FOR(r8, 0, 8) FOR(r7, 0, 7) { int det8 = (r8 - d + 16) & 7; if (det8 & 1) continue; int m2 = m ^ (1 << d-1); int i9 = (s9 - d + 9) % 9; int i7 = (r7 - d + 14) * 5 % 7; long long& stan = dp[l][m][d][s9][r8][r7]; FOR(c, 0, 10) stan += dp[l-1][m][c][i9][det8/2][i7], stan += dp[l-1][m][c][i9][det8/2 + 4][i7], stan += dp[l-1][m2][c][i9][det8/2][i7], stan += dp[l-1][m2][c][i9][det8/2 + 4][i7]; } FOR(i, 1, L) pow10[i] = pow10[i-1] * 10; FOR(m, 1, M) { int md = ~0, m9 = ~0, m8 = ~0, m7 = ~0; if (ithBit(m, 2-1)) md &= 0b010101010; if (ithBit(m, 3-1)) m9 &= 0b001001001; if (ithBit(m, 4-1)) m8 &= 0b00010001; if (ithBit(m, 5-1)) md &= 0b000010000; if (ithBit(m, 6-1)) md &= 0b010101010, m9 &= 0b001001001; if (ithBit(m, 7-1)) m7 &= 1; if (ithBit(m, 8-1)) m8 &= 1; if (ithBit(m, 9-1)) m9 &= 1; FOR(d, 1, 10) FOR(i9, 0, 9) FOR(i8, 0, 8) FOR(i7, 0, 7) if (ithBit(md, d-1) and ithBit(m9, i9) and ithBit(m8, i8) and ithBit(m7, i7)) valid[m][d][i9][i8][i7] = true; } } int itoa(long long x, char* res) { int n = 0; for (; x != 0; x /= 10) res[n++] = '0' + x%10; reverse(res, res+n); return n; } long long getDp(long long pref, int l, int mask, int s) { if (l == 0) return check(pref); long long ret = 0; FOR(m, 1, M) FOR(d, 1, 10) FOR(s9, 0, 9) FOR(r8, 0, 8) FOR(r7, 0, 7) { int mm = m | mask; int i9 = (s + s9) % 9; int i8 = (pref + r8) % 8; int i7 = (pref + r7) % 7; if (valid[mm][d][i9][i8][i7]) ret += dp[l][m][d][s9][r8][r7]; } return ret; } long long getLE(long long x) { char T[20]; int n = itoa(x, T), m = 0, s = 0; long long pref = 0, ret = 0; if (x != 0) ret = check(x); FOR(i, 1, n) ret += getDp(0, i, 0, 0); FOR(i, 0, n) { if (T[i] == '0') break; int len = n-i-1; FOR(d, 1, T[i]-'0') { pref += pow10[len]; s = (s + 1) % 9; ret += getDp(pref, len, m | (1 << d-1), s); } m |= 1 << (T[i]-'0')-1; pref += pow10[len]; s = (s + 1) % 9; } return ret; } long long query(long long a, long long b) { return getLE(b) - getLE(a-1); } void solve() { init(); long long a, b; scanf ("%lld%lld", &a, &b); printf("%lld\n", query(a, b)); } int main() { int t = 1; //scanf ("%d", &t); FOR(tid, 1, t+1) { //printf("Case #%d: ", tid); solve(); } return 0; } |