// Author: Olaf Surgut (surgutti)
// Created on 12-03-2025 13:36:55
#include "bits/stdc++.h"
using namespace std;
#define int long long
#define ll long long
#define ld long double
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define eb emplace_back
#define sz(x) (int)(x).size()
#define all(x) begin(x),end(x)
#define FOR(i,l,r) for(int i=(l);i<=(r);i++)
#define ROF(i,r,l) for(int i=(r);i>=(l);i--)
auto& operator<<(auto &o, pair<auto, auto> p) {
return o << "(" << p.st << ", " << p.nd << ")";}
auto operator<<(auto &o, auto x)->decltype(end(x), o) {
o << "{"; int i=0; for (auto e : x) o << ","+!i++ << e;
return o << "}";}
#ifdef LOCAL
#define debug(x...) cerr << "[" #x "]: ", [](auto...$) { \
((cerr << $ << "; "),...) << endl; }(x)
#else
#define debug(...)
#endif
#define rep(i,a,b) for(int i = a; i < (b); i++)
using pii = pair<int, int>;
using vi = vector<int>;
const int N = 1e18L + 7;
const int K = 65000;
const int limits[4] = {3 * 17, 2 * 17, 17, 17};
const int primes[4] = {2, 3, 5, 7};
int f(int x) {
int res = 1;
while (x > 0) {
res *= x % 10;
x /= 10;
}
return res;
}
int g(int x) {
while (x > 9)
x = f(x);
return x;
}
typedef array<int, 4> S;
S operator+ (S const& a, S const& b) {
S res;
rep(i, 0, 4)
res[i] = a[i] + b[i];
return res;
}
int val(S v) {
int res = 1;
rep(i, 0, 4) {
while (v[i]--)
res *= primes[i];
}
return res;
}
string n;
int idx[3 * 18 + 1][2 * 18 + 1][18 + 1][18 + 1];
vector<S> good;
void jazda(int i, int now, S v) {
if (i == 4) {
good.pb(v);
idx[v[0]][v[1]][v[2]][v[3]] = sz(good);
return;
}
FOR(j, 0, limits[i]) {
jazda(i + 1, now, v);
if ((__int128) now * primes[i] > N)
break;
now *= primes[i];
v[i]++;
}
}
int _sum[19][K][10];
int* sum(int len, S const& v) {
return _sum[len][idx[v[0]][v[1]][v[2]][v[3]]];
}
const S digits[10] = {
{-1,-1,-1,-1},// 0
{0, 0, 0, 0}, // 1
{1, 0, 0, 0}, // 2
{0, 1, 0, 0}, // 3
{2, 0, 0, 0}, // 4
{0, 0, 1, 0}, // 5
{1, 1, 0, 0}, // 6
{0, 0, 0, 1}, // 7
{3, 0, 0, 0}, // 8
{0, 2, 0, 0} // 9
};
void solve() {
cin >> n;
vi ans(10);
S v{0, 0, 0, 0};
FOR(len, 1, sz(n)) {
int cur_d = n[len - 1] - '0';
rep(d, 1, cur_d) FOR(i, 1, 9)
ans[i] += sum(sz(n) - len, v + digits[d])[i];
if (cur_d == 0)
break;
v = v + digits[cur_d];
}
FOR(len, 1, sz(n) - 1)
FOR(i, 1, 9) {
ans[i] += sum(len, {0, 0, 0, 0})[i];
if (sum(len, {0, 0, 0, 0})[i]) {
debug(len, i, sum(len, {0, 0, 0, 0})[i]);
}
}
debug(g(stoll(n)));
ans[g(stoll(n))]++;
ans[0] = stoll(n);
FOR(d, 1, 9)
ans[0] -= ans[d];
FOR(d, 0, 9)
cout << ans[d] << ' ';
cout << '\n';
}
signed main() {
cin.tie(0)->sync_with_stdio(0);
jazda(0, 1, {0, 0, 0, 0});
assert(sz(good) < K);
debug(sz(good));
for (S const& v : good)
sum(0, v)[g(val(v))]++;
FOR(len, 1, 18)
for (S const& v : good)
FOR(d, 1, 9) {
S const w = v + digits[d];
FOR(i, 1, 9)
sum(len, v)[i] += sum(len - 1, w)[i];
}
int t;
cin >> t;
while (t--) {
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 | // Author: Olaf Surgut (surgutti) // Created on 12-03-2025 13:36:55 #include "bits/stdc++.h" using namespace std; #define int long long #define ll long long #define ld long double #define endl '\n' #define st first #define nd second #define pb push_back #define eb emplace_back #define sz(x) (int)(x).size() #define all(x) begin(x),end(x) #define FOR(i,l,r) for(int i=(l);i<=(r);i++) #define ROF(i,r,l) for(int i=(r);i>=(l);i--) auto& operator<<(auto &o, pair<auto, auto> p) { return o << "(" << p.st << ", " << p.nd << ")";} auto operator<<(auto &o, auto x)->decltype(end(x), o) { o << "{"; int i=0; for (auto e : x) o << ","+!i++ << e; return o << "}";} #ifdef LOCAL #define debug(x...) cerr << "[" #x "]: ", [](auto...$) { \ ((cerr << $ << "; "),...) << endl; }(x) #else #define debug(...) #endif #define rep(i,a,b) for(int i = a; i < (b); i++) using pii = pair<int, int>; using vi = vector<int>; const int N = 1e18L + 7; const int K = 65000; const int limits[4] = {3 * 17, 2 * 17, 17, 17}; const int primes[4] = {2, 3, 5, 7}; int f(int x) { int res = 1; while (x > 0) { res *= x % 10; x /= 10; } return res; } int g(int x) { while (x > 9) x = f(x); return x; } typedef array<int, 4> S; S operator+ (S const& a, S const& b) { S res; rep(i, 0, 4) res[i] = a[i] + b[i]; return res; } int val(S v) { int res = 1; rep(i, 0, 4) { while (v[i]--) res *= primes[i]; } return res; } string n; int idx[3 * 18 + 1][2 * 18 + 1][18 + 1][18 + 1]; vector<S> good; void jazda(int i, int now, S v) { if (i == 4) { good.pb(v); idx[v[0]][v[1]][v[2]][v[3]] = sz(good); return; } FOR(j, 0, limits[i]) { jazda(i + 1, now, v); if ((__int128) now * primes[i] > N) break; now *= primes[i]; v[i]++; } } int _sum[19][K][10]; int* sum(int len, S const& v) { return _sum[len][idx[v[0]][v[1]][v[2]][v[3]]]; } const S digits[10] = { {-1,-1,-1,-1},// 0 {0, 0, 0, 0}, // 1 {1, 0, 0, 0}, // 2 {0, 1, 0, 0}, // 3 {2, 0, 0, 0}, // 4 {0, 0, 1, 0}, // 5 {1, 1, 0, 0}, // 6 {0, 0, 0, 1}, // 7 {3, 0, 0, 0}, // 8 {0, 2, 0, 0} // 9 }; void solve() { cin >> n; vi ans(10); S v{0, 0, 0, 0}; FOR(len, 1, sz(n)) { int cur_d = n[len - 1] - '0'; rep(d, 1, cur_d) FOR(i, 1, 9) ans[i] += sum(sz(n) - len, v + digits[d])[i]; if (cur_d == 0) break; v = v + digits[cur_d]; } FOR(len, 1, sz(n) - 1) FOR(i, 1, 9) { ans[i] += sum(len, {0, 0, 0, 0})[i]; if (sum(len, {0, 0, 0, 0})[i]) { debug(len, i, sum(len, {0, 0, 0, 0})[i]); } } debug(g(stoll(n))); ans[g(stoll(n))]++; ans[0] = stoll(n); FOR(d, 1, 9) ans[0] -= ans[d]; FOR(d, 0, 9) cout << ans[d] << ' '; cout << '\n'; } signed main() { cin.tie(0)->sync_with_stdio(0); jazda(0, 1, {0, 0, 0, 0}); assert(sz(good) < K); debug(sz(good)); for (S const& v : good) sum(0, v)[g(val(v))]++; FOR(len, 1, 18) for (S const& v : good) FOR(d, 1, 9) { S const w = v + digits[d]; FOR(i, 1, 9) sum(len, v)[i] += sum(len - 1, w)[i]; } int t; cin >> t; while (t--) { solve(); } return 0; } |
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