#include <bits/stdc++.h>
using namespace std;
#define rep(a, b) for (int a = 0; a < (b); a++)
#define rep1(a, b) for (int a = 1; a <= (b); a++)
#define all(x) (x).begin(), (x).end()
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int MOD = 1e9 + 7;
const ll MAX = 1'000'000'000'000'000'000;
#define LOCAL false
ll fact[20];
ll f(ll x) {
if (x < 10) return x;
ll prod = 1;
while (x) {
prod *= x%10;
x /= 10;
}
return f(prod);
}
using Expo = vector<int>; // 4-elementowy !
using Digset = vector<int>; // 10-elementowy !
vector<Expo> generators[10];
vector<Digset> digsets[10][200];
Expo factor[10] = {
{0, 0, 0, 0},
{0, 0, 0, 0},
{1, 0, 0, 0},
{0, 1, 0, 0},
{2, 0, 0, 0},
{0, 0, 1, 0},
{1, 1, 0, 0},
{0, 0, 0, 1},
{3, 0, 0, 0},
{0, 2, 0, 0}
};
Expo curex;
Digset curdig;
vector<Digset>* bag;
int gendigcnt = 0;
void go(int d) {
if (!(curex[0]||curex[1]||curex[2]||curex[3]) && gendigcnt <= 18) {
bag->push_back(curdig);
return;
}
for (int d2 = d; d2 <= 9; d2++) {
rep(i, 4) curex[i] -= factor[d2][i];
curdig[d2]++;
gendigcnt++;
if (curex[0]>=0 && curex[1]>=0 && curex[2]>=0 && curex[3]>=0) go(d2);
rep(i, 4) curex[i] += factor[d2][i];
curdig[d2]--;
gendigcnt--;
}
}
int ans1(ll n) {
ll cur = 1;
int cnt = 1;
while (cur <= n) {
cur *= 10;
cur++;
cnt++;
}
return cnt-1;
}
ll n;
ll ans[10];
void solve() {
cin >> n;
vector<int> ndigits;
ll n2 = n;
while (n2) {
ndigits.push_back(n2%10);
n2 /= 10;
}
reverse(all(ndigits));
int nlen = ndigits.size();
rep1(i, 9) rep(j, generators[i].size()) rep(k, digsets[i][j].size()) {
Digset digs = digsets[i][j][k];
int len2 = accumulate(all(digs), 0);
if (len2 > nlen) continue;
ll denom = 1;
rep1(d2, 9) denom *= fact[digs[d2]];
rep(ii, nlen-len2) {
ans[i] += fact[len2+ii]/denom;
digs[1]++;
denom *= digs[1];
}
rep(dpos, nlen) {
int d = ndigits[dpos];
int lesscnt = accumulate(begin(digs), begin(digs)+d, 0);
ans[i] += fact[nlen-dpos-1]*lesscnt/denom;
if (digs[d]>0) {
denom /= digs[d];
digs[d]--;
if (dpos == nlen-1) ans[i]++;
} else break;
}
}
ans[1] = ans1(n);
ans[0] = n;
rep1(i, 9) ans[0] -= ans[i];
rep(i, 10) cout << ans[i] << " ";
cout << "\n";
rep(i, 10) ans[i] = 0;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0);
if (LOCAL) {
ignore=freopen("io/in", "r", stdin);
ignore=freopen("io/out", "w", stdout);
}
fact[0] = 1;
rep1(i, 19) fact[i] = i*fact[i-1];
vector<ll> nums;
ll prod1 = 1;
int p1=0, p2=0, p3=0, p4=0;
while (prod1 <= MAX) {
ll prod2 = prod1;
while (prod2 <= MAX) {
ll prod3 = prod2;
while (prod3 <= MAX) {
ll prod4 = prod3;
while (prod4 <= MAX) {
int fval = f(prod4);
if (fval != 0 && (p1||p2||p3||p4)) generators[fval].push_back({p1, p2, p3, p4});
prod4 *= 7;
p4++;
}
p4 = 0;
prod3 *= 5;
p3++;
}
p3 = 0;
prod2 *= 3;
p2++;
}
p2 = 0;
prod1 *= 2;
p1++;
}
p1 = 0;
rep1(i, 9) rep(j, generators[i].size()) {
bag = &digsets[i][j];
curex = generators[i][j];
curdig = Digset(10, 0);
go(2);
}
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 | #include <bits/stdc++.h> using namespace std; #define rep(a, b) for (int a = 0; a < (b); a++) #define rep1(a, b) for (int a = 1; a <= (b); a++) #define all(x) (x).begin(), (x).end() using ll = long long; using pii = pair<int, int>; using pll = pair<ll, ll>; const int MOD = 1e9 + 7; const ll MAX = 1'000'000'000'000'000'000; #define LOCAL false ll fact[20]; ll f(ll x) { if (x < 10) return x; ll prod = 1; while (x) { prod *= x%10; x /= 10; } return f(prod); } using Expo = vector<int>; // 4-elementowy ! using Digset = vector<int>; // 10-elementowy ! vector<Expo> generators[10]; vector<Digset> digsets[10][200]; Expo factor[10] = { {0, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {0, 1, 0, 0}, {2, 0, 0, 0}, {0, 0, 1, 0}, {1, 1, 0, 0}, {0, 0, 0, 1}, {3, 0, 0, 0}, {0, 2, 0, 0} }; Expo curex; Digset curdig; vector<Digset>* bag; int gendigcnt = 0; void go(int d) { if (!(curex[0]||curex[1]||curex[2]||curex[3]) && gendigcnt <= 18) { bag->push_back(curdig); return; } for (int d2 = d; d2 <= 9; d2++) { rep(i, 4) curex[i] -= factor[d2][i]; curdig[d2]++; gendigcnt++; if (curex[0]>=0 && curex[1]>=0 && curex[2]>=0 && curex[3]>=0) go(d2); rep(i, 4) curex[i] += factor[d2][i]; curdig[d2]--; gendigcnt--; } } int ans1(ll n) { ll cur = 1; int cnt = 1; while (cur <= n) { cur *= 10; cur++; cnt++; } return cnt-1; } ll n; ll ans[10]; void solve() { cin >> n; vector<int> ndigits; ll n2 = n; while (n2) { ndigits.push_back(n2%10); n2 /= 10; } reverse(all(ndigits)); int nlen = ndigits.size(); rep1(i, 9) rep(j, generators[i].size()) rep(k, digsets[i][j].size()) { Digset digs = digsets[i][j][k]; int len2 = accumulate(all(digs), 0); if (len2 > nlen) continue; ll denom = 1; rep1(d2, 9) denom *= fact[digs[d2]]; rep(ii, nlen-len2) { ans[i] += fact[len2+ii]/denom; digs[1]++; denom *= digs[1]; } rep(dpos, nlen) { int d = ndigits[dpos]; int lesscnt = accumulate(begin(digs), begin(digs)+d, 0); ans[i] += fact[nlen-dpos-1]*lesscnt/denom; if (digs[d]>0) { denom /= digs[d]; digs[d]--; if (dpos == nlen-1) ans[i]++; } else break; } } ans[1] = ans1(n); ans[0] = n; rep1(i, 9) ans[0] -= ans[i]; rep(i, 10) cout << ans[i] << " "; cout << "\n"; rep(i, 10) ans[i] = 0; } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); if (LOCAL) { ignore=freopen("io/in", "r", stdin); ignore=freopen("io/out", "w", stdout); } fact[0] = 1; rep1(i, 19) fact[i] = i*fact[i-1]; vector<ll> nums; ll prod1 = 1; int p1=0, p2=0, p3=0, p4=0; while (prod1 <= MAX) { ll prod2 = prod1; while (prod2 <= MAX) { ll prod3 = prod2; while (prod3 <= MAX) { ll prod4 = prod3; while (prod4 <= MAX) { int fval = f(prod4); if (fval != 0 && (p1||p2||p3||p4)) generators[fval].push_back({p1, p2, p3, p4}); prod4 *= 7; p4++; } p4 = 0; prod3 *= 5; p3++; } p3 = 0; prod2 *= 3; p2++; } p2 = 0; prod1 *= 2; p1++; } p1 = 0; rep1(i, 9) rep(j, generators[i].size()) { bag = &digsets[i][j]; curex = generators[i][j]; curdig = Digset(10, 0); go(2); } int t; cin >> t; while (t--) solve(); return 0; } |
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