#include<cstdio>
#include<iostream>
#include<algorithm>
#include<string>
#include<vector>
#include<cmath>
#include<queue>
#include<queue>
#include<stack>
#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef long long LL;
typedef unsigned long long ULL;
typedef long double LD;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef vector<LL> VLL;
typedef vector<LD> VLD;
typedef vector<VLL > VVLL;
typedef vector<VLD > VVLD;
typedef vector<PII > VPII;
typedef vector<PLL > VPLL;
typedef __int128 int128;
template<class TIn>
using indexed_set = tree<
TIn, null_type, less<TIn>,
rb_tree_tag, tree_order_statistics_node_update>;
template<class T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
#define FOR(x, b, e) for(int x=b; x<=(e); ++x)
#define FORD(x, b, e) for(int x=b; x>=(e); --x)
#define REP(x, n) for(int x=0; x<(n); ++x)
#define VAR(v, n) __typeof(n) v = (n)
#define ALL(c) (c).begin(), (c).end()
#define SIZE(x) ((int)(x).size())
#define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define PB push_back
#define ST first
#define ND second
#define THIS (*this)
#define LSB(x) (x & -x)
#define SQR(x) ((x)*(x))
LL ilo(LL x) {
if (x == 0) return 0;
LL ans = 1;
while (x > 0) {
ans *= x % 10;
x /= 10;
}
return ans;
}
int sym(LL x) {
LL ans = ilo(x);
if (ans < 10) return ans;
return sym(ans);
}
vector<vector<vector<vector<unordered_map<LL, VLL> > > > > memo;
VLL& dp(string &p, string &s, int i, bool isLower, bool isZero, bool isHigher, LL prod) {
//printf("dp(%d, %d, %d, %lld)\n", i, isLower, isZero, prod);
if (memo[i][isLower][isZero][isHigher].count(prod)) return memo[i][isLower][isZero][isHigher][prod];
if (i == s.size()) {
VLL ans(10);
if (isHigher) ans[sym(prod)]++;
memo[i][isLower][isZero][isHigher][prod] = ans;
return memo[i][isLower][isZero][isHigher][prod];
}
VLL ans(10);
FOR(d, isHigher ? 0 : p[i] - '0', isLower ? 9 : s[i] - '0') {
VLL& tmp = dp(p, s, i + 1, isLower || d < s[i] - '0', isZero && d == 0, isHigher || d > p[i] - '0', isZero && d == 0 ? prod : prod * d);
REP(i, 10) ans[i] += tmp[i];
}
memo[i][isLower][isZero][isHigher][prod] = ans;
return memo[i][isLower][isZero][isHigher][prod];
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(NULL); cout.tie(NULL);
int t; cin >> t;
vector<pair<LL, int> > a(t + 1);
VVLL ans(t + 1, VLL(10));
REP(i, t) {
cin >> a[i].ST;
a[i].ND = i + 1;
}
sort(ALL(a));
FOR(i, 1, t) {
string s = to_string(a[i].ST);
string p = to_string(a[i - 1].ST);
p = string(s.size() - p.size(), '0') + p;
memo.assign(s.size() + 1, vector<vector<vector<unordered_map<LL, VLL> > > >(2, vector<vector<unordered_map<LL, VLL> > >(2, vector<unordered_map<LL, VLL> >(2))));
VLL& tmp = dp(p, s, 0, false, true, false, 1);
REP(j, 10) ans[a[i].ND][j] = ans[a[i - 1].ND][j] + tmp[j];
}
REP(i, t) {
REP(j, 10) cout << ans[i + 1][j] << ' ';
cout << '\n';
}
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 | #include<cstdio> #include<iostream> #include<algorithm> #include<string> #include<vector> #include<cmath> #include<queue> #include<queue> #include<stack> #include<bits/stdc++.h> #include<ext/pb_ds/assoc_container.hpp> #include<ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; typedef vector<int> VI; typedef vector<VI> VVI; typedef long long LL; typedef unsigned long long ULL; typedef long double LD; typedef pair<int, int> PII; typedef pair<LL, LL> PLL; typedef vector<LL> VLL; typedef vector<LD> VLD; typedef vector<VLL > VVLL; typedef vector<VLD > VVLD; typedef vector<PII > VPII; typedef vector<PLL > VPLL; typedef __int128 int128; template<class TIn> using indexed_set = tree< TIn, null_type, less<TIn>, rb_tree_tag, tree_order_statistics_node_update>; template<class T> using min_heap = priority_queue<T, vector<T>, greater<T>>; #define FOR(x, b, e) for(int x=b; x<=(e); ++x) #define FORD(x, b, e) for(int x=b; x>=(e); --x) #define REP(x, n) for(int x=0; x<(n); ++x) #define VAR(v, n) __typeof(n) v = (n) #define ALL(c) (c).begin(), (c).end() #define SIZE(x) ((int)(x).size()) #define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define PB push_back #define ST first #define ND second #define THIS (*this) #define LSB(x) (x & -x) #define SQR(x) ((x)*(x)) LL ilo(LL x) { if (x == 0) return 0; LL ans = 1; while (x > 0) { ans *= x % 10; x /= 10; } return ans; } int sym(LL x) { LL ans = ilo(x); if (ans < 10) return ans; return sym(ans); } vector<vector<vector<vector<unordered_map<LL, VLL> > > > > memo; VLL& dp(string &p, string &s, int i, bool isLower, bool isZero, bool isHigher, LL prod) { //printf("dp(%d, %d, %d, %lld)\n", i, isLower, isZero, prod); if (memo[i][isLower][isZero][isHigher].count(prod)) return memo[i][isLower][isZero][isHigher][prod]; if (i == s.size()) { VLL ans(10); if (isHigher) ans[sym(prod)]++; memo[i][isLower][isZero][isHigher][prod] = ans; return memo[i][isLower][isZero][isHigher][prod]; } VLL ans(10); FOR(d, isHigher ? 0 : p[i] - '0', isLower ? 9 : s[i] - '0') { VLL& tmp = dp(p, s, i + 1, isLower || d < s[i] - '0', isZero && d == 0, isHigher || d > p[i] - '0', isZero && d == 0 ? prod : prod * d); REP(i, 10) ans[i] += tmp[i]; } memo[i][isLower][isZero][isHigher][prod] = ans; return memo[i][isLower][isZero][isHigher][prod]; } int main() { ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL); int t; cin >> t; vector<pair<LL, int> > a(t + 1); VVLL ans(t + 1, VLL(10)); REP(i, t) { cin >> a[i].ST; a[i].ND = i + 1; } sort(ALL(a)); FOR(i, 1, t) { string s = to_string(a[i].ST); string p = to_string(a[i - 1].ST); p = string(s.size() - p.size(), '0') + p; memo.assign(s.size() + 1, vector<vector<vector<unordered_map<LL, VLL> > > >(2, vector<vector<unordered_map<LL, VLL> > >(2, vector<unordered_map<LL, VLL> >(2)))); VLL& tmp = dp(p, s, 0, false, true, false, 1); REP(j, 10) ans[a[i].ND][j] = ans[a[i - 1].ND][j] + tmp[j]; } REP(i, t) { REP(j, 10) cout << ans[i + 1][j] << ' '; cout << '\n'; } return 0; } |
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