QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#378264 | #7927. Fortune Telling | kevinyang# | ML | 0ms | 3824kb | C++20 | 10.1kb | 2024-04-06 10:33:07 | 2024-04-06 10:33:08 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
/* Macros {{{ */
/* A lot of this is from some of Benq's submissions
[https://codeforces.com/profile/Benq]
Ugly af to the eyes, but with vim fold its barable
Hopefully c++20 concepts can make all this stuff must cleaner */
/* Basics {{{ */
using ll = long long;
using ld = long double;
using str = string;
using pi = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
#define mp make_pair
#define fi first
#define se second
#define arr array
#define ve vector
using vi = vector<int>;
using vll = vector<ll>;
using vld = vector<ld>;
using vpi = vector<pi>;
using vpll = vector<pll>;
using vpld = vector<pld>;
using vvi = vector<vi>;
using vvll = vector<vll>;
using vvld = vector<vld>;
using vvpi = vector<vpi>;
using vvpll = vector<vpll>;
using vvpld = vector<vpld>;
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define sz size()
#define rsz(a) resize(a)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define For(i, a, b) for (int i = a; i < b; ++i)
#define Rof(i, a, b) for (int i = (b)-1; i >= (a); --i)
#define rep(a) For(_, 0, a)
#define each(a, x) for (auto &a : x)
#define reach(a, x) for (auto a = x.rbegin(); a != x.rend(); ++a)
template <typename T, typename U>
inline void cmin(T &x, U y) {
if (y < x) x = y;
}
template <typename T, typename U>
inline void cmax(T &x, U y) {
if (x < y) x = y;
}
/*}}}*/
/* IO {{{ */
/* Template Macros {{{ */
#define tcT template <class T
#define tcTU tcT, class U
#define tcTUU tcT, class... U
/*}}}*/
inline namespace Helpers { /*{{{*/
tcT, class = void > struct is_iterable : false_type {};
tcT > struct is_iterable<
T, void_t<decltype(begin(declval<T>())), decltype(end(declval<T>()))>>
: true_type {};
tcT > constexpr bool is_iterable_v = is_iterable<T>::value;
tcT, class = void > struct is_readable : false_type {};
tcT > struct is_readable<T, typename std::enable_if_t<is_same_v<
decltype(cin >> declval<T &>()), istream &>>>
: true_type {};
tcT > constexpr bool is_readable_v = is_readable<T>::value;
tcT, class = void > struct is_printable : false_type {};
tcT > struct is_printable<T, typename std::enable_if_t<is_same_v<
decltype(cout << declval<T>()), ostream &>>>
: true_type {};
tcT > constexpr bool is_printable_v = is_printable<T>::value;
} /* namespace Helpers */
/*}}}*/
inline namespace Input { /*{{{*/
tcT > constexpr bool needs_input_v = !is_readable_v<T> && is_iterable_v<T>;
tcTUU > void re(T &t, U &...u);
tcTU > void re(pair<T, U> &p); /* pairs */
/* re: read{{{ */
tcT > typename enable_if<is_readable_v<T>, void>::type re(T &x) {
cin >> x;
} /* default */
tcT > typename enable_if<needs_input_v<T>, void>::type re(
T &i); // vectors, arrays, etc...
tcTU > void re(pair<T, U> &p) { re(p.fi, p.se); } // pairs
tcT > typename enable_if<needs_input_v<T>, void>::type re(T &i) {
each(x, i) re(x);
}
tcTUU > void re(T &t, U &...u) {
re(t);
re(u...);
} /* read multiple}}} */
/* rv: resize and read vectors{{{ */
void rv(size_t) {}
tcTUU > void rv(size_t N, ve<T> &t, U &...u);
template <class... U>
void rv(size_t, size_t N2, U &...u);
tcTUU > void rv(size_t N, ve<T> &t, U &...u) {
t.rsz(N);
re(t);
rv(N, u...);
}
template <class... U>
void rv(size_t, size_t N2, U &...u) {
rv(N2, u...);
} /*}}}*/
/* dumb shortcuts to read in ints{{{ */
void decrement() {} /* subtract one from each */
tcTUU > void decrement(T &t, U &...u) {
--t;
decrement(u...);
}
#define ints(...) \
int __VA_ARGS__; \
re(__VA_ARGS__);
#define int1(...) \
ints(__VA_ARGS__); \
decrement(__VA_ARGS__); /*}}}*/
} /* namespace Input */
/*}}}*/
inline namespace ToString { /*{{{*/
tcT > constexpr bool needs_output_v = !is_printable_v<T> && is_iterable_v<T>;
/* ts: string representation to print */
tcT > typename enable_if<is_printable_v<T>, str>::type ts(T v) {
stringstream ss;
ss << fixed << setprecision(15) << v;
return ss.str();
} /* default */
tcT > str bit_vec(T t) { /* bit vector to string */
str res = "{";
For(i, 0, t.sz) res += ts(t[i]);
res += "}";
return res;
}
str ts(ve<bool> v) { return bit_vec(v); }
template <size_t SZ>
str ts(bitset<SZ> b) {
return bit_vec(b);
} /* bit vector */
tcTU > str ts(pair<T, U> p); /* pairs */
tcT > typename enable_if<needs_output_v<T>, str>::type ts(
T v); /* vectors, arrays */
tcTU > str ts(pair<T, U> p) { return "(" + ts(p.fi) + ", " + ts(p.se) + ")"; }
tcT > typename enable_if<is_iterable_v<T>, str>::type ts_sep(T v, str sep) {
/* convert container to string w/ separator sep */
bool fst = 1;
str res = "";
for (const auto &x : v) {
if (!fst) res += sep;
fst = 0;
res += ts(x);
}
return res;
}
tcT > typename enable_if<needs_output_v<T>, str>::type ts(T v) {
return "{" + ts_sep(v, ", ") + "}";
}
/* for nested DS */
template <int, class T>
typename enable_if<!needs_output_v<T>, ve<str>>::type ts_lev(const T &v) {
return {ts(v)};
}
template <int lev, class T>
typename enable_if<needs_output_v<T>, ve<str>>::type ts_lev(const T &v) {
if (lev == 0 || !v.sz) return {ts(v)};
ve<str> res;
for (const auto &t : v) {
if (res.sz) res.back() += ",";
ve<str> tmp = ts_lev<lev - 1>(t);
res.insert(end(res), all(tmp));
}
For(i, 0, res.sz) {
str bef = " ";
if (i == 0) bef = "{";
res[i] = bef + res[i];
}
res.back() += "}";
return res;
}
} /* namespace ToString */
/*}}}*/
inline namespace Output { /*{{{*/
template <class T>
void pr_sep(ostream &os, str, const T &t) {
os << ts(t);
}
template <class T, class... U>
void pr_sep(ostream &os, str sep, const T &t, const U &...u) {
pr_sep(os, sep, t);
os << sep;
pr_sep(os, sep, u...);
}
/* print w/ no spaces */
template <class... T>
void pr(const T &...t) {
pr_sep(cout, "", t...);
}
/* print w/ spaces, end with newline */
void ps() { cout << "\n"; }
template <class... T>
void ps(const T &...t) {
pr_sep(cout, " ", t...);
ps();
}
/* debug to cerr */
template <class... T>
void dbg_out(const T &...t) {
pr_sep(cerr, " | ", t...);
cerr << endl;
}
void loc_info(int line, str names) {
cerr << "Line(" << line << ") -> [" << names << "]: ";
}
template <int lev, class T>
void dbgl_out(const T &t) {
cerr << "\n\n" << ts_sep(ts_lev<lev>(t), "\n") << "\n" << endl;
}
} /* namespace Output */
/*}}}}}}}}}*/
int const Mod = 998244353;
ll modpow(ll a, ll b) {
ll res = 1;
for(ll e=1, p=a%Mod; e<=b; e<<=1, p=p*p%Mod)
if(e&b) res = res*p%Mod;
return res;
}
ll moddiv(ll a, ll b) {
ll num = a%Mod, den = modpow(b, Mod-2), res = num*den%Mod;
return res;
}
vvll memo;
ll dp(int loc, int cards) {
if(loc == 0 && cards == 1) return 1;
if(memo[loc][cards] >= 0) return memo[loc][cards];
ll &res = memo[loc][cards];
res = 0;
for(int roll=0; roll<min(cards, 6); ++roll) {
if(loc%6 == roll) continue;
int num_cards_rmved = (cards-roll+5)/6;
int num_cards_bef_loc_removed = (loc-roll+5)/6;
res += moddiv(dp(loc - num_cards_bef_loc_removed, cards - num_cards_rmved), min(cards, 6));
}
res %= Mod;
return res;
}
void solve() {
int n;
re(n);
// if(n <= 100000) {
memo = vvll(n+10, vll(n+10, -1));
for(int i=0; i<n; ++i) ps(dp(i, n));
// } else {
// rep(n) ps(moddiv(1, n));
// }
// if(n <= 6 || n >= 36) {
// rep(n) ps(moddiv(1, n));
// return;
// }
//
// for(int i=0; i<n; ++i) {
// ve<vvll> dp(n, vvll(n, vll(n, 0)));
// // dp[x][y][z] is probability that element i is at location x with y cards left in the deck after z moves
//
//
// dp[i][n-1][0] = 1;
// ll sum = dp[0][0][0];
//
// for(int turn=0; turn+1<n; ++turn) {
// for(int cards=0; cards<6; ++cards) {
// for(int loc=0; loc<=cards; ++loc) {
// for(int roll=0; roll<6; ++roll) {
// if(loc%6 == roll) continue;
//
// int num_cards_rmved = (cards-roll+5)/6;
// int num_cards_bef_loc_removed = (loc-roll+5)/6;
//
// dp[loc-num_cards_bef_loc_removed][cards-num_cards_rmved][turn+1] += moddiv(dp[loc][cards][turn], cards+1);
// dp[loc-num_cards_bef_loc_removed][cards-num_cards_rmved][turn+1] %= Mod;
// }
// }
// }
//
// for(int cards=6; cards<n; ++cards) {
// for(int loc=0; loc<n; ++loc) {
// for(int roll=0; roll<6; ++roll) {
// if(loc%6 == roll) continue;
//
// int num_cards_rmved = (cards-roll+5)/6;
// int num_cards_bef_loc_removed = (loc-roll+5)/6;
//
// dp[loc-num_cards_bef_loc_removed][cards-num_cards_rmved][turn+1] += moddiv(dp[loc][cards][turn], 6);
// dp[loc-num_cards_bef_loc_removed][cards-num_cards_rmved][turn+1] %= Mod;
// }
// }
// }
//
// sum += dp[0][0][turn+1];
// sum %= Mod;
// }
//
// ps(sum);
// }
}
int main() {
// ios_base::sync_with_stdio(false);
// cin.tie(NULL);
/* cout << fixed << setprecision(6); */
int t = 1;
// cin >> t;
for (int i = 0; i < t; i++) solve();
return 0;
// you should actually read the stuff at the bottom
}
/* stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
* DON'T GET STUCK ON ONE APPROACH
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3588kb
input:
3
output:
332748118 332748118 332748118
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
7
output:
305019108 876236710 876236710 876236710 876236710 876236710 305019108
result:
ok 7 lines
Test #3:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
8
output:
64701023 112764640 160828257 160828257 160828257 160828257 112764640 64701023
result:
ok 8 lines
Test #4:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
10
output:
409773145 853745402 299473306 743445563 189173467 189173467 743445563 299473306 853745402 409773145
result:
ok 10 lines
Test #5:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
11
output:
989514850 873566509 757618168 641669827 525721486 409773145 525721486 641669827 757618168 873566509 989514850
result:
ok 11 lines
Test #6:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
12
output:
175103562 138336949 101570336 64803723 28037110 989514850 989514850 28037110 64803723 101570336 138336949 175103562
result:
ok 12 lines
Test #7:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
13
output:
159099473 484299138 167572226 849089667 532362755 215635843 175103562 215635843 532362755 849089667 167572226 484299138 159099473
result:
ok 13 lines
Test #8:
score: -100
Memory Limit Exceeded
input:
131091