#pragma GCC optimize("O2") #include <bits/stdc++.h> using namespace std; //#define int long long #define pii pair<int, int> unordered_map<long long, long long> rev; vector<vector<long long>> precalc, precalc2; map<long long, int> final_digit; vector<long long> possible_values; const long long maxn = 1'000'000'000'000'000'000ll; bool is_overflow(long long a, long long b){ if(maxn/a <= b) return true; return false; } void set_possible_values(long long prime){ long long tmp = 1; int lp = possible_values.size()-1; while(true){ if(is_overflow(prime, tmp)) break; tmp *= prime; for(int i = 0; i<=lp; i++){ if(is_overflow(tmp, possible_values[i])) continue; long long tt = possible_values[i] * tmp; if(tt % 10 == 0) continue; possible_values.push_back(tt); } } } void setFinalDigits(){ possible_values.push_back(1); set_possible_values(2ll); set_possible_values(3ll); set_possible_values(5ll); set_possible_values(7ll); possible_values.push_back(0); final_digit[0] = 0; final_digit[1] = 1; final_digit[2] = 2; final_digit[3] = 3; final_digit[4] = 4; final_digit[5] = 5; final_digit[6] = 6; final_digit[7] = 7; final_digit[8] = 8; final_digit[9] = 9; sort(possible_values.begin(), possible_values.end()); for(long long val : possible_values){ rev[val] = rev.size(); long long tval = val; long long tmp = 1; if(val == 0) tmp = 0; while(tval){ tmp *= tval%10; tval /= 10; } final_digit[val] = final_digit[tmp]; } } void set_precalc(){ setFinalDigits(); precalc.assign(200, vector<long long>(possible_values.size(), 0)); precalc2.assign(200, vector<long long>(possible_values.size(), 0)); for(int i = 1; i<10; i++){ for(int j = 1; j<=i; j++){ precalc[i+10][j] = 1; precalc2[i+10][j] = 1; } } for(int i = 2; i<20; i++){ for(long long j = 1; j<10; j++){ int cpos = i*10+j; int lpos = i*10-1; for(int k = 0; k<possible_values.size(); k++){ precalc[cpos][k] += precalc[cpos-1][k]; precalc2[cpos][k] += precalc2[cpos-1][k]; if(precalc[lpos][k] == 0) continue; long long tmp = possible_values[k] * j; if(tmp % 10 == 0) continue; precalc[cpos][rev[tmp]] += precalc[lpos][k]; precalc2[cpos][rev[tmp]] += precalc2[lpos][k]; } } } for(int i = 2; i<20; i++){ for(long long j = 1; j<10; j++){ int cpos = i*10+j; int lpos = i*10-1; for(int k = 0; k<possible_values.size(); k++){ precalc[cpos][k] += precalc[lpos][k]; } } } } void combine_arrays(vector<long long>& arr1, vector<long long>& arr2, long long mul){ for(int i = 0; i<arr1.size(); i++){ if(arr2[i]==0)continue; long long tmpp = possible_values[i] * mul; arr1[rev[tmpp]] += arr2[i]; } } void solve(){ long long n; cin>>n; vector<long long> out(possible_values.size(), 0); vector<long long> digits; long long tn = n; while(tn){ digits.push_back(tn%10); tn /= 10; } reverse(digits.begin(), digits.end()); if(digits[0] == 1){ long long tmpp = (digits.size() - 1)*10 + 9; combine_arrays(out, precalc[tmpp], 1ll); } vector<long long> ans(10, 0); long long tmp = 1; for(int i = 0; i<digits.size(); i++){ if(digits[i] == 0){ tmp = 0; break; } if(digits[i] > 1){ long long tmpp = (digits.size() - i)*10 + digits[i]-1; if(i == 0) combine_arrays(out, precalc[tmpp], tmp); else combine_arrays(out, precalc2[tmpp], tmp); } tmp *= digits[i]; } out[rev[tmp]]++; for(int i = 0; i<out.size(); i++){ if(out[i] == 0) continue; ans[final_digit[possible_values[i]]] += out[i]; } ans[0] = n; for(int i = 1; i<10; i++) ans[0] -= ans[i]; for(int i = 0; i<10; i++) cout<<ans[i]<<" "; cout<<endl; } signed main(){ cin.tie(0)->sync_with_stdio(0); set_precalc(); int t; cin>>t; while(t--){ solve(); } }
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 | #pragma GCC optimize("O2") #include <bits/stdc++.h> using namespace std; //#define int long long #define pii pair<int, int> unordered_map<long long, long long> rev; vector<vector<long long>> precalc, precalc2; map<long long, int> final_digit; vector<long long> possible_values; const long long maxn = 1'000'000'000'000'000'000ll; bool is_overflow(long long a, long long b){ if(maxn/a <= b) return true; return false; } void set_possible_values(long long prime){ long long tmp = 1; int lp = possible_values.size()-1; while(true){ if(is_overflow(prime, tmp)) break; tmp *= prime; for(int i = 0; i<=lp; i++){ if(is_overflow(tmp, possible_values[i])) continue; long long tt = possible_values[i] * tmp; if(tt % 10 == 0) continue; possible_values.push_back(tt); } } } void setFinalDigits(){ possible_values.push_back(1); set_possible_values(2ll); set_possible_values(3ll); set_possible_values(5ll); set_possible_values(7ll); possible_values.push_back(0); final_digit[0] = 0; final_digit[1] = 1; final_digit[2] = 2; final_digit[3] = 3; final_digit[4] = 4; final_digit[5] = 5; final_digit[6] = 6; final_digit[7] = 7; final_digit[8] = 8; final_digit[9] = 9; sort(possible_values.begin(), possible_values.end()); for(long long val : possible_values){ rev[val] = rev.size(); long long tval = val; long long tmp = 1; if(val == 0) tmp = 0; while(tval){ tmp *= tval%10; tval /= 10; } final_digit[val] = final_digit[tmp]; } } void set_precalc(){ setFinalDigits(); precalc.assign(200, vector<long long>(possible_values.size(), 0)); precalc2.assign(200, vector<long long>(possible_values.size(), 0)); for(int i = 1; i<10; i++){ for(int j = 1; j<=i; j++){ precalc[i+10][j] = 1; precalc2[i+10][j] = 1; } } for(int i = 2; i<20; i++){ for(long long j = 1; j<10; j++){ int cpos = i*10+j; int lpos = i*10-1; for(int k = 0; k<possible_values.size(); k++){ precalc[cpos][k] += precalc[cpos-1][k]; precalc2[cpos][k] += precalc2[cpos-1][k]; if(precalc[lpos][k] == 0) continue; long long tmp = possible_values[k] * j; if(tmp % 10 == 0) continue; precalc[cpos][rev[tmp]] += precalc[lpos][k]; precalc2[cpos][rev[tmp]] += precalc2[lpos][k]; } } } for(int i = 2; i<20; i++){ for(long long j = 1; j<10; j++){ int cpos = i*10+j; int lpos = i*10-1; for(int k = 0; k<possible_values.size(); k++){ precalc[cpos][k] += precalc[lpos][k]; } } } } void combine_arrays(vector<long long>& arr1, vector<long long>& arr2, long long mul){ for(int i = 0; i<arr1.size(); i++){ if(arr2[i]==0)continue; long long tmpp = possible_values[i] * mul; arr1[rev[tmpp]] += arr2[i]; } } void solve(){ long long n; cin>>n; vector<long long> out(possible_values.size(), 0); vector<long long> digits; long long tn = n; while(tn){ digits.push_back(tn%10); tn /= 10; } reverse(digits.begin(), digits.end()); if(digits[0] == 1){ long long tmpp = (digits.size() - 1)*10 + 9; combine_arrays(out, precalc[tmpp], 1ll); } vector<long long> ans(10, 0); long long tmp = 1; for(int i = 0; i<digits.size(); i++){ if(digits[i] == 0){ tmp = 0; break; } if(digits[i] > 1){ long long tmpp = (digits.size() - i)*10 + digits[i]-1; if(i == 0) combine_arrays(out, precalc[tmpp], tmp); else combine_arrays(out, precalc2[tmpp], tmp); } tmp *= digits[i]; } out[rev[tmp]]++; for(int i = 0; i<out.size(); i++){ if(out[i] == 0) continue; ans[final_digit[possible_values[i]]] += out[i]; } ans[0] = n; for(int i = 1; i<10; i++) ans[0] -= ans[i]; for(int i = 0; i<10; i++) cout<<ans[i]<<" "; cout<<endl; } signed main(){ cin.tie(0)->sync_with_stdio(0); set_precalc(); int t; cin>>t; while(t--){ solve(); } } |