#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for (int i = (a); i < (b); i++)
#define all(x) begin(x), end(x)
#define sz(x) int((x).size())
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;
#ifdef LOCAL
auto operator<<(auto& o, auto x) -> decltype(x.first, o);
auto operator<<(auto& o, auto x) -> decltype(x.end(), o) {
o << "{";
for (int i = 0; auto y : x) o << ", " + !i++ * 2 << y;
return o << "}"; }
auto operator<<(auto& o, auto x) -> decltype(x.first, o) {
return o << "(" << x.first << ", " << x.second << ")"; }
void __print(auto... x) { ((cerr << x << " "), ...) << endl; }
#define debug(x...) __print("[" #x "]:", x)
#else
#define debug(...) 2137
#endif
vector<vector<int>> dig;
void rec(int n, int id, vector<int>& v) {
if(n == 0 || id == 10) {
dig.push_back(v);
return;
}
for(int i = 0; i <= n; i++) {
v[id] = i;
rec(n - i, id + 1, v);
v[id] = 0;
}
}
int main() {
cin.tie(0)->sync_with_stdio(0);
const int num = 18;
vector<int> v(10);
dig.reserve(14000000);
rec(num, 0, v);
unordered_map<ll, int> res;
unordered_set<ll> st;
for(int i = 0; i < dig.size(); i++) {
ll prod = 1;
for(int d = 0; d < 10; d++) {
for(int j = 0; j < dig[i][d]; j++) prod *= d;
}
if(!prod || prod % 10 != 0) {
st.insert(prod);
}
ll init = prod;
while(prod >= 10) {
ll cur = 1;
while(prod) {
cur *= prod % 10;
prod /= 10;
}
prod = cur;
}
res[init] = prod;
}
vector<unordered_map<ll, array<ll, 10>>> ans(num + 1);
for(ll prod : st) {
ans[0][prod] = {};
ans[0][prod][res[prod]]++;
}
ll bnd = 1e18;
for(int k = 1; k < ans.size(); k++) {
for(ll prod : st) {
array<ll, 10> v = {};
for(int d = 0; d < 10; d++) {
if(!d || prod <= bnd / d) {
ll nprod = prod * d;
if(nprod % 10 == 0) nprod = 0;
auto& vv = ans[k - 1][nprod];
for(int i = 0; i < 10; i++) v[i] += vv[i];
}
}
ans[k][prod] = v;
}
}
int t;
cin >> t;
while(t--) {
ll n;
cin >> n;
string s = to_string(n);
vector<ll> v(10);
for(int i = 0; i + 1 < s.length(); i++) {
for(int d = 1; d < 10; d++) {
auto& vv = ans[s.length() - i - 2][d];
for(int j = 0; j < 10; j++) v[j] += vv[j];
}
}
ll prod = 1;
for(int i = 0; i < s.length(); i++) {
for(int d = 0; d < s[i] - '0'; d++) {
if(!i && !d) continue;
ll nprod = prod * d;
if(nprod % 10 == 0) nprod = 0;
auto& vv = ans[s.length() - i - 1][nprod];
for(int j = 0; j < 10; j++) v[j] += vv[j];
}
prod *= s[i] - '0';
}
v[res[prod]]++;
for(int i = 0; i < 10; i++) {
if(i) cout << " ";
cout << v[i];
}
cout << '\n';
}
}
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 | #include <bits/stdc++.h> using namespace std; #define rep(i, a, b) for (int i = (a); i < (b); i++) #define all(x) begin(x), end(x) #define sz(x) int((x).size()) using ll = long long; using pii = pair<int, int>; using vi = vector<int>; #ifdef LOCAL auto operator<<(auto& o, auto x) -> decltype(x.first, o); auto operator<<(auto& o, auto x) -> decltype(x.end(), o) { o << "{"; for (int i = 0; auto y : x) o << ", " + !i++ * 2 << y; return o << "}"; } auto operator<<(auto& o, auto x) -> decltype(x.first, o) { return o << "(" << x.first << ", " << x.second << ")"; } void __print(auto... x) { ((cerr << x << " "), ...) << endl; } #define debug(x...) __print("[" #x "]:", x) #else #define debug(...) 2137 #endif vector<vector<int>> dig; void rec(int n, int id, vector<int>& v) { if(n == 0 || id == 10) { dig.push_back(v); return; } for(int i = 0; i <= n; i++) { v[id] = i; rec(n - i, id + 1, v); v[id] = 0; } } int main() { cin.tie(0)->sync_with_stdio(0); const int num = 18; vector<int> v(10); dig.reserve(14000000); rec(num, 0, v); unordered_map<ll, int> res; unordered_set<ll> st; for(int i = 0; i < dig.size(); i++) { ll prod = 1; for(int d = 0; d < 10; d++) { for(int j = 0; j < dig[i][d]; j++) prod *= d; } if(!prod || prod % 10 != 0) { st.insert(prod); } ll init = prod; while(prod >= 10) { ll cur = 1; while(prod) { cur *= prod % 10; prod /= 10; } prod = cur; } res[init] = prod; } vector<unordered_map<ll, array<ll, 10>>> ans(num + 1); for(ll prod : st) { ans[0][prod] = {}; ans[0][prod][res[prod]]++; } ll bnd = 1e18; for(int k = 1; k < ans.size(); k++) { for(ll prod : st) { array<ll, 10> v = {}; for(int d = 0; d < 10; d++) { if(!d || prod <= bnd / d) { ll nprod = prod * d; if(nprod % 10 == 0) nprod = 0; auto& vv = ans[k - 1][nprod]; for(int i = 0; i < 10; i++) v[i] += vv[i]; } } ans[k][prod] = v; } } int t; cin >> t; while(t--) { ll n; cin >> n; string s = to_string(n); vector<ll> v(10); for(int i = 0; i + 1 < s.length(); i++) { for(int d = 1; d < 10; d++) { auto& vv = ans[s.length() - i - 2][d]; for(int j = 0; j < 10; j++) v[j] += vv[j]; } } ll prod = 1; for(int i = 0; i < s.length(); i++) { for(int d = 0; d < s[i] - '0'; d++) { if(!i && !d) continue; ll nprod = prod * d; if(nprod % 10 == 0) nprod = 0; auto& vv = ans[s.length() - i - 1][nprod]; for(int j = 0; j < 10; j++) v[j] += vv[j]; } prod *= s[i] - '0'; } v[res[prod]]++; for(int i = 0; i < 10; i++) { if(i) cout << " "; cout << v[i]; } cout << '\n'; } } |
English