#include <bits/stdc++.h> using namespace std; #define rep(i,a,n) for (int i=(a);i<(n);i++) #define per(i,a,n) for (int i=(n)-1;i>=(a);i--) #define pb push_back #define eb emplace_back #define mp make_pair #define all(x) (x).begin(),(x).end() #define fi first #define se second #define SZ(x) ((int)(x).size()) typedef vector<int> VI; typedef basic_string<int> BI; typedef long long ll; typedef pair<int,int> PII; typedef long double db; mt19937 mrand(1111); const ll mod=1000000007; int rnd(int x) { return mrand() % x;} ll powmod(ll a,ll b) {ll res=1;a%=mod; assert(b>=0); for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;} ll gcd(ll a,ll b) { return b?gcd(b,a%b):a;} // head vector<ll> dig; array<ll,10> dp[22][37333],ret[22]; int go[37333][11]; int m; array<ll,10> operator +(const array<ll,10> &a,const array<ll,10> &b) { array<ll,10> c; rep(i,0,10) c[i]=a[i]+b[i]; return c; } ll f(ll x) { ll y=1; while (x) y=y*(x%10),x/=10; return y; } void print(const array<ll,10> &a) { rep(k,0,10) { printf("%lld%c",a[k]," \n"[k==9]); } } int _; int main() { dig.pb(0); dig.pb(1); rep(i,1,19) { vector<ll> ndig; for (auto x:dig) rep(j,0,10) ndig.pb(x*j); sort(all(ndig)); ndig.erase(unique(all(ndig)),ndig.end()); dig=ndig; } m=SZ(dig); rep(i,0,SZ(dig)) { rep(j,0,10) { ll w=dig[i]*j; auto it=lower_bound(all(dig),w); if (it!=dig.end()&&*it==w) { go[i][j]=it-dig.begin(); } else { go[i][j]=-1; } } } rep(i,0,SZ(dig)) { ll w=dig[i]; while (w>=10) w=f(w); dp[0][i][w]=1; } rep(b,0,18) { rep(i,0,SZ(dig)) rep(j,0,10) if (go[i][j]!=-1) dp[b+1][i]=dp[b+1][i]+dp[b][go[i][j]]; } rep(b,1,19) rep(j,1,10) { ret[b]=ret[b]+dp[b-1][go[1][j]]; } for (scanf("%d",&_);_;_--) { ll n; scanf("%lld",&n); ++n; VI d; array<ll,10> ans; rep(i,0,10) ans[i]=0; while (n) d.pb(n%10),n/=10; reverse(all(d)); rep(b,1,SZ(d)) ans=ans+ret[b]; int num=1; rep(i,0,SZ(d)) { rep(j,(i==0)?1:0,d[i]) { ans=ans+dp[SZ(d)-i-1][go[num][j]]; } num=go[num][d[i]]; } print(ans); } }
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 | #include <bits/stdc++.h> using namespace std; #define rep(i,a,n) for (int i=(a);i<(n);i++) #define per(i,a,n) for (int i=(n)-1;i>=(a);i--) #define pb push_back #define eb emplace_back #define mp make_pair #define all(x) (x).begin(),(x).end() #define fi first #define se second #define SZ(x) ((int)(x).size()) typedef vector<int> VI; typedef basic_string<int> BI; typedef long long ll; typedef pair<int,int> PII; typedef long double db; mt19937 mrand(1111); const ll mod=1000000007; int rnd(int x) { return mrand() % x;} ll powmod(ll a,ll b) {ll res=1;a%=mod; assert(b>=0); for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;} ll gcd(ll a,ll b) { return b?gcd(b,a%b):a;} // head vector<ll> dig; array<ll,10> dp[22][37333],ret[22]; int go[37333][11]; int m; array<ll,10> operator +(const array<ll,10> &a,const array<ll,10> &b) { array<ll,10> c; rep(i,0,10) c[i]=a[i]+b[i]; return c; } ll f(ll x) { ll y=1; while (x) y=y*(x%10),x/=10; return y; } void print(const array<ll,10> &a) { rep(k,0,10) { printf("%lld%c",a[k]," \n"[k==9]); } } int _; int main() { dig.pb(0); dig.pb(1); rep(i,1,19) { vector<ll> ndig; for (auto x:dig) rep(j,0,10) ndig.pb(x*j); sort(all(ndig)); ndig.erase(unique(all(ndig)),ndig.end()); dig=ndig; } m=SZ(dig); rep(i,0,SZ(dig)) { rep(j,0,10) { ll w=dig[i]*j; auto it=lower_bound(all(dig),w); if (it!=dig.end()&&*it==w) { go[i][j]=it-dig.begin(); } else { go[i][j]=-1; } } } rep(i,0,SZ(dig)) { ll w=dig[i]; while (w>=10) w=f(w); dp[0][i][w]=1; } rep(b,0,18) { rep(i,0,SZ(dig)) rep(j,0,10) if (go[i][j]!=-1) dp[b+1][i]=dp[b+1][i]+dp[b][go[i][j]]; } rep(b,1,19) rep(j,1,10) { ret[b]=ret[b]+dp[b-1][go[1][j]]; } for (scanf("%d",&_);_;_--) { ll n; scanf("%lld",&n); ++n; VI d; array<ll,10> ans; rep(i,0,10) ans[i]=0; while (n) d.pb(n%10),n/=10; reverse(all(d)); rep(b,1,SZ(d)) ans=ans+ret[b]; int num=1; rep(i,0,SZ(d)) { rep(j,(i==0)?1:0,d[i]) { ans=ans+dp[SZ(d)-i-1][go[num][j]]; } num=go[num][d[i]]; } print(ans); } } |