#include <bits/stdc++.h> #define ndl '\n' #define ll long long #define st first #define nd second #define debug(x) cout << #x << ": " << x << ndl #define all(x) (x).begin(), (x).end() using namespace std; vector<vector<ll>> pow_mem(10, vector<ll>(70, -1)); ll ppow(ll a, ll b) { if(pow_mem[a][b]!=-1) { return pow_mem[a][b]; } return pow_mem[a][b] = pow(a,b); } struct Hasher { size_t operator()(const tuple<int, bool, bool, int, int, int, int>& zmn) const { auto [pos, smaller, started, i2, i3, i5, i7] = zmn; ll res = 17; res = res * 31 + hash<int>()(pos); res = res * 31 + hash<bool>()(smaller); res = res * 31 + hash<bool>()(started); res = res * 31 + hash<int>()(i2); res = res * 31 + hash<int>()(i3); res = res * 31 + hash<int>()(i5); res = res * 31 + hash<int>()(i7); return res; } }; struct Hasher2 { size_t operator()(const tuple<int, bool, int, int, int, int>& zmn) const { auto [pos, started, i2, i3, i5, i7] = zmn; ll res = 17; res = res * 31 + hash<int>()(pos); res = res * 31 + hash<bool>()(started); res = res * 31 + hash<int>()(i2); res = res * 31 + hash<int>()(i3); res = res * 31 + hash<int>()(i5); res = res * 31 + hash<int>()(i7); return res; } }; struct v_sol{ v_sol() : v(10, 0) {} v_sol(int num) : v(10, 0) { this->v[num]++; } v_sol operator+(const v_sol &other) { v_sol newer{}; for(int i=0;i<10;i++) { newer.v[i] = this->v[i] + other.v[i]; } return newer; } v_sol& operator+=(const v_sol &other) { for(int i=0;i<10;i++) { this->v[i] += other.v[i]; } return *this; } friend ostream& operator<<(ostream& os, const v_sol& sol); vector<ll> v; }; ostream& operator<<(ostream& os, const v_sol& sol) { for(int i=0;i<=9;i++) { os << sol.v[i] <<' '; } return os; } unordered_map<tuple<int, bool, int, int, int, int>, v_sol, Hasher2> global_memo; // ile left, ZAWSZE JEST SMALLER, started, i2, i3, i5, i7 void rob() { ll n; cin>>n; ll n_cpy = n; vector<int> liczba; while(n_cpy>0 || (n_cpy==0 && liczba.size()==0)) { liczba.push_back(n_cpy%10); n_cpy/=10; } reverse(liczba.begin(), liczba.end()); unordered_map<tuple<int, bool, bool, int, int, int, int>, v_sol, Hasher> memo; function<v_sol(int, bool, bool, int, int, int, int)> digit_dp = [&](int pos, bool smaller, bool started, int i2, int i3, int i5, int i7) { tuple<int, bool, bool, int, int, int, int> klucz{pos, smaller, started, i2, i3, i5, i7}; tuple<int, bool, int, int, int, int> global_klucz{liczba.size()-pos, started, i2, i3, i5, i7}; // if(i2 == 1 && i5 == 1) { // cout<<"FSDF"; // } if(pos == liczba.size()) { if(!started) { return memo[klucz] = v_sol(); } if(long long nowa = ppow(2, i2) * ppow(3, i3) * ppow(5, i5) * ppow(7, i7); nowa <= 9) { return memo[klucz] = v_sol(nowa); } else { int new_i2 = 0; int new_i3 = 0; int new_i5 = 0; int new_i7 = 0; ll nowa_cpy = nowa; while(nowa > 0) { int zz = nowa%10; switch(zz) { case 0: return memo[klucz] = v_sol(0); case 2: new_i2 += 1; break; case 3: new_i3 += 1; break; case 4: new_i2 += 2; break; case 5: new_i5 += 1; break; case 6: new_i2 += 1; new_i3 += 1; break; case 7: new_i7 += 1; break; case 8: new_i2 += 3; break; case 9: new_i3 += 2; break; default: break; } nowa/=10; } auto zzzzz = digit_dp(liczba.size(), nowa_cpy < n, true, new_i2, new_i3, new_i5, new_i7); if(smaller) { global_memo[global_klucz] = zzzzz; } return memo[klucz] = zzzzz; } } if(memo.count(klucz)) { return memo[klucz]; } if(smaller && global_memo.count(global_klucz)) { return memo[klucz] = global_memo[global_klucz]; } int limit = liczba[pos]; if(smaller) { limit = 9; } auto sol = v_sol{}; int new_i2, new_i3, new_i5, new_i7; for(ll i=0;i<=limit;i++) { if(started && i == 0) { if(smaller || 0 < liczba[pos]) { sol.v[0] += pow(10, liczba.size() - pos - 1); } else { ll tmpnum = 0; for(int kk = pos+1; kk<liczba.size();kk++) { tmpnum = tmpnum * 10 + liczba[kk]; } sol.v[0] += tmpnum+1; } continue; } new_i2 = i2; new_i3 = i3; new_i5 = i5; new_i7 = i7; switch(i) { case 2: new_i2 += 1; break; case 3: new_i3 += 1; break; case 4: new_i2 += 2; break; case 5: new_i5 += 1; break; case 6: new_i2 += 1; new_i3 += 1; break; case 7: new_i7 += 1; break; case 8: new_i2 += 3; break; case 9: new_i3 += 2; break; default: break; } sol += digit_dp(pos+1, smaller || (i < liczba[pos]), started || (i > 0), new_i2, new_i3, new_i5, new_i7); } if(smaller) { global_memo[global_klucz] = sol; } return memo[klucz] = sol; }; cout<<digit_dp(0, 0, 0, 0, 0, 0, 0)<<'\n'; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int t; cin>>t; for(int i=0;i<t;i++) rob(); }
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 | #include <bits/stdc++.h> #define ndl '\n' #define ll long long #define st first #define nd second #define debug(x) cout << #x << ": " << x << ndl #define all(x) (x).begin(), (x).end() using namespace std; vector<vector<ll>> pow_mem(10, vector<ll>(70, -1)); ll ppow(ll a, ll b) { if(pow_mem[a][b]!=-1) { return pow_mem[a][b]; } return pow_mem[a][b] = pow(a,b); } struct Hasher { size_t operator()(const tuple<int, bool, bool, int, int, int, int>& zmn) const { auto [pos, smaller, started, i2, i3, i5, i7] = zmn; ll res = 17; res = res * 31 + hash<int>()(pos); res = res * 31 + hash<bool>()(smaller); res = res * 31 + hash<bool>()(started); res = res * 31 + hash<int>()(i2); res = res * 31 + hash<int>()(i3); res = res * 31 + hash<int>()(i5); res = res * 31 + hash<int>()(i7); return res; } }; struct Hasher2 { size_t operator()(const tuple<int, bool, int, int, int, int>& zmn) const { auto [pos, started, i2, i3, i5, i7] = zmn; ll res = 17; res = res * 31 + hash<int>()(pos); res = res * 31 + hash<bool>()(started); res = res * 31 + hash<int>()(i2); res = res * 31 + hash<int>()(i3); res = res * 31 + hash<int>()(i5); res = res * 31 + hash<int>()(i7); return res; } }; struct v_sol{ v_sol() : v(10, 0) {} v_sol(int num) : v(10, 0) { this->v[num]++; } v_sol operator+(const v_sol &other) { v_sol newer{}; for(int i=0;i<10;i++) { newer.v[i] = this->v[i] + other.v[i]; } return newer; } v_sol& operator+=(const v_sol &other) { for(int i=0;i<10;i++) { this->v[i] += other.v[i]; } return *this; } friend ostream& operator<<(ostream& os, const v_sol& sol); vector<ll> v; }; ostream& operator<<(ostream& os, const v_sol& sol) { for(int i=0;i<=9;i++) { os << sol.v[i] <<' '; } return os; } unordered_map<tuple<int, bool, int, int, int, int>, v_sol, Hasher2> global_memo; // ile left, ZAWSZE JEST SMALLER, started, i2, i3, i5, i7 void rob() { ll n; cin>>n; ll n_cpy = n; vector<int> liczba; while(n_cpy>0 || (n_cpy==0 && liczba.size()==0)) { liczba.push_back(n_cpy%10); n_cpy/=10; } reverse(liczba.begin(), liczba.end()); unordered_map<tuple<int, bool, bool, int, int, int, int>, v_sol, Hasher> memo; function<v_sol(int, bool, bool, int, int, int, int)> digit_dp = [&](int pos, bool smaller, bool started, int i2, int i3, int i5, int i7) { tuple<int, bool, bool, int, int, int, int> klucz{pos, smaller, started, i2, i3, i5, i7}; tuple<int, bool, int, int, int, int> global_klucz{liczba.size()-pos, started, i2, i3, i5, i7}; // if(i2 == 1 && i5 == 1) { // cout<<"FSDF"; // } if(pos == liczba.size()) { if(!started) { return memo[klucz] = v_sol(); } if(long long nowa = ppow(2, i2) * ppow(3, i3) * ppow(5, i5) * ppow(7, i7); nowa <= 9) { return memo[klucz] = v_sol(nowa); } else { int new_i2 = 0; int new_i3 = 0; int new_i5 = 0; int new_i7 = 0; ll nowa_cpy = nowa; while(nowa > 0) { int zz = nowa%10; switch(zz) { case 0: return memo[klucz] = v_sol(0); case 2: new_i2 += 1; break; case 3: new_i3 += 1; break; case 4: new_i2 += 2; break; case 5: new_i5 += 1; break; case 6: new_i2 += 1; new_i3 += 1; break; case 7: new_i7 += 1; break; case 8: new_i2 += 3; break; case 9: new_i3 += 2; break; default: break; } nowa/=10; } auto zzzzz = digit_dp(liczba.size(), nowa_cpy < n, true, new_i2, new_i3, new_i5, new_i7); if(smaller) { global_memo[global_klucz] = zzzzz; } return memo[klucz] = zzzzz; } } if(memo.count(klucz)) { return memo[klucz]; } if(smaller && global_memo.count(global_klucz)) { return memo[klucz] = global_memo[global_klucz]; } int limit = liczba[pos]; if(smaller) { limit = 9; } auto sol = v_sol{}; int new_i2, new_i3, new_i5, new_i7; for(ll i=0;i<=limit;i++) { if(started && i == 0) { if(smaller || 0 < liczba[pos]) { sol.v[0] += pow(10, liczba.size() - pos - 1); } else { ll tmpnum = 0; for(int kk = pos+1; kk<liczba.size();kk++) { tmpnum = tmpnum * 10 + liczba[kk]; } sol.v[0] += tmpnum+1; } continue; } new_i2 = i2; new_i3 = i3; new_i5 = i5; new_i7 = i7; switch(i) { case 2: new_i2 += 1; break; case 3: new_i3 += 1; break; case 4: new_i2 += 2; break; case 5: new_i5 += 1; break; case 6: new_i2 += 1; new_i3 += 1; break; case 7: new_i7 += 1; break; case 8: new_i2 += 3; break; case 9: new_i3 += 2; break; default: break; } sol += digit_dp(pos+1, smaller || (i < liczba[pos]), started || (i > 0), new_i2, new_i3, new_i5, new_i7); } if(smaller) { global_memo[global_klucz] = sol; } return memo[klucz] = sol; }; cout<<digit_dp(0, 0, 0, 0, 0, 0, 0)<<'\n'; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int t; cin>>t; for(int i=0;i<t;i++) rob(); } |