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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#110895 | #6565. Game Show Elimination | maspy | AC ✓ | 2299ms | 5832kb | C++23 | 20.2kb | 2023-06-04 16:02:27 | 2023-06-04 16:02:28 |
Judging History
answer
#line 1 "library/my_template.hpp"
#if defined(LOCAL)
#include <my_template_compiled.hpp>
#else
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
template <class T>
constexpr T infty = 0;
template <>
constexpr int infty<int> = 1'000'000'000;
template <>
constexpr ll infty<ll> = ll(infty<int>) * infty<int> * 2;
template <>
constexpr u32 infty<u32> = infty<int>;
template <>
constexpr u64 infty<u64> = infty<ll>;
template <>
constexpr i128 infty<i128> = i128(infty<ll>) * infty<ll>;
template <>
constexpr double infty<double> = infty<ll>;
template <>
constexpr long double infty<long double> = infty<ll>;
using pi = pair<ll, ll>;
using vi = vector<ll>;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
#define vv(type, name, h, ...) \
vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) \
vector<vector<vector<type>>> name( \
h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name( \
a, vector<vector<vector<type>>>( \
b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)
#define FOR_subset(t, s) \
for (ll t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s)))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second
#define stoi stoll
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
template <typename T, typename U>
T ceil(T x, U y) {
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <typename T, typename U>
T floor(T x, U y) {
return (x > 0 ? x / y : (x - y + 1) / y);
}
template <typename T, typename U>
pair<T, T> divmod(T x, U y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename T, typename U>
T SUM(const vector<U> &A) {
T sum = 0;
for (auto &&a: A) sum += a;
return sum;
}
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) \
sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit()
template <typename T>
T POP(deque<T> &que) {
T a = que.front();
que.pop_front();
return a;
}
template <typename T>
T POP(pq<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T POP(pqg<T> &que) {
assert(!que.empty());
T a = que.top();
que.pop();
return a;
}
template <typename T>
T POP(vc<T> &que) {
assert(!que.empty());
T a = que.back();
que.pop_back();
return a;
}
template <typename F>
ll binary_search(F check, ll ok, ll ng, bool check_ok = true) {
if (check_ok) assert(check(ok));
while (abs(ok - ng) > 1) {
auto x = (ng + ok) / 2;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));
}
return ok;
}
template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
FOR(iter) {
double x = (ok + ng) / 2;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));
}
return (ok + ng) / 2;
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
// ? は -1
vc<int> s_to_vi(const string &S, char first_char) {
vc<int> A(S.size());
FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); }
return A;
}
template <typename T, typename U>
vector<T> cumsum(vector<U> &A, int off = 1) {
int N = A.size();
vector<T> B(N + 1);
FOR(i, N) { B[i + 1] = B[i] + A[i]; }
if (off == 0) B.erase(B.begin());
return B;
}
// stable sort
template <typename T>
vector<int> argsort(const vector<T> &A) {
vector<int> ids(len(A));
iota(all(ids), 0);
sort(all(ids),
[&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
vc<T> B(len(I));
FOR(i, len(I)) B[i] = A[I[i]];
return B;
}
#endif
#line 1 "library/other/io.hpp"
// based on yosupo's fastio
#include <unistd.h>
namespace fastio {
#define FASTIO
// クラスが read(), print() を持っているかを判定するメタ関数
struct has_write_impl {
template <class T>
static auto check(T &&x) -> decltype(x.write(), std::true_type{});
template <class T>
static auto check(...) -> std::false_type;
};
template <class T>
class has_write : public decltype(has_write_impl::check<T>(std::declval<T>())) {
};
struct has_read_impl {
template <class T>
static auto check(T &&x) -> decltype(x.read(), std::true_type{});
template <class T>
static auto check(...) -> std::false_type;
};
template <class T>
class has_read : public decltype(has_read_impl::check<T>(std::declval<T>())) {};
struct Scanner {
FILE *fp;
char line[(1 << 15) + 1];
size_t st = 0, ed = 0;
void reread() {
memmove(line, line + st, ed - st);
ed -= st;
st = 0;
ed += fread(line + ed, 1, (1 << 15) - ed, fp);
line[ed] = '\0';
}
bool succ() {
while (true) {
if (st == ed) {
reread();
if (st == ed) return false;
}
while (st != ed && isspace(line[st])) st++;
if (st != ed) break;
}
if (ed - st <= 50) {
bool sep = false;
for (size_t i = st; i < ed; i++) {
if (isspace(line[i])) {
sep = true;
break;
}
}
if (!sep) reread();
}
return true;
}
template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
while (true) {
size_t sz = 0;
while (st + sz < ed && !isspace(line[st + sz])) sz++;
ref.append(line + st, sz);
st += sz;
if (!sz || st != ed) break;
reread();
}
return true;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
bool neg = false;
if (line[st] == '-') {
neg = true;
st++;
}
ref = T(0);
while (isdigit(line[st])) { ref = 10 * ref + (line[st++] & 0xf); }
if (neg) ref = -ref;
return true;
}
template <typename T,
typename enable_if<has_read<T>::value>::type * = nullptr>
inline bool read_single(T &x) {
x.read();
return true;
}
bool read_single(double &ref) {
string s;
if (!read_single(s)) return false;
ref = std::stod(s);
return true;
}
bool read_single(char &ref) {
string s;
if (!read_single(s) || s.size() != 1) return false;
ref = s[0];
return true;
}
template <class T>
bool read_single(vector<T> &ref) {
for (auto &d: ref) {
if (!read_single(d)) return false;
}
return true;
}
template <class T, class U>
bool read_single(pair<T, U> &p) {
return (read_single(p.first) && read_single(p.second));
}
template <size_t N = 0, typename T>
void read_single_tuple(T &t) {
if constexpr (N < std::tuple_size<T>::value) {
auto &x = std::get<N>(t);
read_single(x);
read_single_tuple<N + 1>(t);
}
}
template <class... T>
bool read_single(tuple<T...> &tpl) {
read_single_tuple(tpl);
return true;
}
void read() {}
template <class H, class... T>
void read(H &h, T &... t) {
bool f = read_single(h);
assert(f);
read(t...);
}
Scanner(FILE *fp) : fp(fp) {}
};
struct Printer {
Printer(FILE *_fp) : fp(_fp) {}
~Printer() { flush(); }
static constexpr size_t SIZE = 1 << 15;
FILE *fp;
char line[SIZE], small[50];
size_t pos = 0;
void flush() {
fwrite(line, 1, pos, fp);
pos = 0;
}
void write(const char val) {
if (pos == SIZE) flush();
line[pos++] = val;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
void write(T val) {
if (pos > (1 << 15) - 50) flush();
if (val == 0) {
write('0');
return;
}
if (val < 0) {
write('-');
val = -val; // todo min
}
size_t len = 0;
while (val) {
small[len++] = char(0x30 | (val % 10));
val /= 10;
}
for (size_t i = 0; i < len; i++) { line[pos + i] = small[len - 1 - i]; }
pos += len;
}
void write(const string s) {
for (char c: s) write(c);
}
void write(const char *s) {
size_t len = strlen(s);
for (size_t i = 0; i < len; i++) write(s[i]);
}
void write(const double x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
void write(const long double x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
template <typename T,
typename enable_if<has_write<T>::value>::type * = nullptr>
inline void write(T x) {
x.write();
}
template <class T>
void write(const vector<T> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
template <class T, class U>
void write(const pair<T, U> val) {
write(val.first);
write(' ');
write(val.second);
}
template <size_t N = 0, typename T>
void write_tuple(const T t) {
if constexpr (N < std::tuple_size<T>::value) {
if constexpr (N > 0) { write(' '); }
const auto x = std::get<N>(t);
write(x);
write_tuple<N + 1>(t);
}
}
template <class... T>
bool write(tuple<T...> tpl) {
write_tuple(tpl);
return true;
}
template <class T, size_t S>
void write(const array<T, S> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
void write(i128 val) {
string s;
bool negative = 0;
if (val < 0) {
negative = 1;
val = -val;
}
while (val) {
s += '0' + int(val % 10);
val /= 10;
}
if (negative) s += "-";
reverse(all(s));
if (len(s) == 0) s = "0";
write(s);
}
};
Scanner scanner = Scanner(stdin);
Printer printer = Printer(stdout);
void flush() { printer.flush(); }
void print() { printer.write('\n'); }
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
printer.write(head);
if (sizeof...(Tail)) printer.write(' ');
print(forward<Tail>(tail)...);
}
void read() {}
template <class Head, class... Tail>
void read(Head &head, Tail &... tail) {
scanner.read(head);
read(tail...);
}
} // namespace fastio
using fastio::print;
using fastio::flush;
using fastio::read;
#define INT(...) \
int __VA_ARGS__; \
read(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
read(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
read(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
read(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
read(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
read(name)
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
read(name)
void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 3 "main.cpp"
#line 2 "library/random/base.hpp"
u64 RNG_64() {
static uint64_t x_
= uint64_t(chrono::duration_cast<chrono::nanoseconds>(
chrono::high_resolution_clock::now().time_since_epoch())
.count())
* 10150724397891781847ULL;
x_ ^= x_ << 7;
return x_ ^= x_ >> 9;
}
u64 RNG(u64 lim) { return RNG_64() % lim; }
ll RNG(ll l, ll r) { return l + RNG_64() % (r - l); }
#line 3 "library/ds/hashmap.hpp"
// u64 -> Val
template <typename Val, int LOG = 20>
struct HashMap {
int N;
u64* keys;
Val* vals;
vc<int> IDS;
bitset<1 << LOG> used;
const int shift;
const u64 r = 11995408973635179863ULL;
HashMap()
: N(1 << LOG), keys(new u64[N]), vals(new Val[N]), shift(64 - __lg(N)) {}
int hash(ll x) {
static const u64 FIXED_RANDOM
= std::chrono::steady_clock::now().time_since_epoch().count();
return (u64(x + FIXED_RANDOM) * r) >> shift;
}
int index(const u64& key) {
int i = 0;
for (i = hash(key); used[i] && keys[i] != key; (i += 1) &= (N - 1)) {}
return i;
}
// [] した時点で要素は作られる
Val& operator[](const u64& key) {
int i = index(key);
if (!used[i]) IDS.eb(i), used[i] = 1, keys[i] = key, vals[i] = Val{};
return vals[i];
}
Val get(const u64& key, Val default_value) {
int i = index(key);
if (!used[i]) return default_value;
return vals[i];
}
bool count(const u64& key) {
int i = index(key);
return used[i] && keys[i] == key;
}
void reset() {
for (auto&& i: IDS) used[i] = 0;
IDS.clear();
}
// f(key, val)
template <typename F>
void enumerate_all(F f) {
for (auto&& i: IDS) f(keys[i], vals[i]);
}
};
#line 1 "library/enumerate/bits.hpp"
template <typename F>
void enumerate_bits_32(u32 s, F f) {
while (s) {
int i = __builtin_ctz(s);
f(i);
s ^= 1 << i;
}
}
template <typename F>
void enumerate_bits_64(u64 s, F f) {
while (s) {
int i = __builtin_ctzll(s);
f(i);
s ^= u64(1) << i;
}
}
template <typename BS, typename F>
void enumerate_bits_bitset(BS& b, int L, int R, F f) {
int p = (b[L] ? L : b._Find_next(L));
while (p < R) {
f(p);
p = b._Find_next(p);
}
}
#line 6 "main.cpp"
using state = tuple<int, int, int>;
u64 to_key(state s) {
auto [a, b, c] = s;
return (ll(a) << 40) | (ll(b) << 20) | c;
}
using Re = double;
void solve() {
LL(N, K);
int B = 10;
vc<Re> ANS(N);
const int INF = 10000;
vc<state> states;
vc<Re> dp = {1.0};
{
int s = 0;
FOR(i, B) {
if (N - 3 - i >= 0) s |= 1 << i;
}
state init = {N - 1, N - 2, s};
states.eb(init);
}
auto calc_no_memo = [&](int i1, int i2, int s) -> vc<pair<int, Re>> {
map<int, Re> ANS;
// (winner, prob)
vc<int> player = {i1, i2};
enumerate_bits_32(s, [&](int k) -> void { player.eb(i2 - 1 - k); });
for (auto&& j1: player) {
for (auto&& j2: player) {
if (j1 == j2) continue;
if (j1 + K <= j2) continue;
bool ok = 1;
for (auto&& j: player) {
if (j == j1 || j == j2) continue;
if (j >= j2 + K) {
ok = 0;
break;
}
}
if (!ok) continue;
Re P = Re(1.0) / K;
Re ans = 0.0;
FOR(x, j2, j2 + K) {
// 整数部分だけ決める
// そのうち、j2 に負けるべき人数
if (j1 + K <= x) continue;
int n = len(player);
vc<Re> DP(n);
DP[0] = 1;
for (auto&& j: player) {
if (j == j1 || j == j2) continue;
Re lo = 0, eq = 0, hi = 0;
FOR(y, j, j + K) {
if (y < x) lo += P;
if (y == x) eq += P;
if (y > x) hi += P;
}
vc<Re> newDP(n);
FOR(i, n) newDP[i] += lo * DP[i];
FOR(i, n - 1) newDP[i + 1] += eq * DP[i];
swap(DP, newDP);
}
FOR(y, j1, j1 + K) {
if (y < x) continue;
FOR(i, n) {
Re p = DP[i] * P * P;
if (y > x) { p /= 1 + i; }
elif (y == x) {
// 2+i人, 1,2 が決まっている
p /= (i + 2) * (i + 1);
}
ans += p;
}
}
}
if (ans == 0.0) continue;
ANS[j2] += ans;
}
}
vc<pair<int, Re>> res;
for (auto&& [a, b]: ANS) res.eb(a, b);
return res;
};
// MEMO1
// i1 == INF のときの勝者 = i2 - x
vvc<pair<int, Re>> MEMO1(1 << B);
FOR(s, 1 << B) {
int i1 = INF;
int i2 = 0;
MEMO1[s] = calc_no_memo(i1, i2, s);
}
// MEMO2
// i1 - i2 == d のときの勝者
using V = vc<pair<int, Re>>;
vv(V, MEMO2, 11, 1 << 10);
auto calc = [&](int i1, int i2, int s) -> vc<pair<int, Re>> {
if (i1 == INF) {
vc<pair<int, Re>> res;
for (auto&& [a, p]: MEMO1[s]) { res.eb(i2 + a, p); }
return res;
}
if (MEMO2[i1 - i2][s].empty()) {
MEMO2[i1 - i2][s] = calc_no_memo(i1 - i2, 0, s);
}
vc<pair<int, Re>> res;
for (auto&& [a, p]: MEMO2[i1 - i2][s]) res.eb(i2 + a, p);
return res;
};
HashMap<int, 14> MP;
FOR(round, N - 1) {
MP.reset();
vc<state> new_states;
vc<Re> newdp;
auto add = [&](state s, Re p) -> void {
u64 k = to_key(s);
int idx = MP.get(k, -1);
if (idx == -1) {
MP[k] = idx = len(new_states);
new_states.eb(s);
newdp.eb(0.0);
}
newdp[idx] += p;
};
FOR(i, len(states)) {
auto [i1, i2, s] = states[i];
for (auto&& [loser, prob]: calc(i1, i2, s)) {
prob *= dp[i];
ANS[loser] += (N - round) * prob;
if (round == N - 2) {
int winner = i1 + i2 - loser;
if (winner < N) ANS[winner] += 1.0 * prob;
continue;
}
// new state
assert(s > 0);
int j1 = i1, j2 = i2;
if (loser == i1) { j1 = i2, j2 = i2 - 1 - lowbit(s); }
if (loser == i2) { j1 = i1, j2 = i2 - 1 - lowbit(s); }
int t = 0;
FOR(b, B) {
int who = j2 - 1 - b;
if (who == loser) continue;
if (who < 0) continue;
int b1 = i2 - 1 - who;
if (b1 < B) {
if (s >> b1 & 1) t |= 1 << b;
} else {
t |= 1 << b;
}
}
// 優勝確定の場合
if (j1 < N && j1 >= j2 + K) {
ANS[j1] += prob;
j1 = INF;
}
add({j1, j2, t}, prob);
}
}
swap(states, new_states);
swap(dp, newdp);
}
print(ANS);
}
signed main() {
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 4068kb
input:
3 2
output:
2.109375000000000 2.625000000000000 1.265625000000000
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 2299ms
memory: 5832kb
input:
1000 10
output:
2.927293316611986 3.537316156876949 4.281182203308095 5.131220660187952 6.053932779018180 7.019188509868238 8.005702399111687 9.001291030350465 10.000165207678409 11.000000000003034 12.000000000003254 13.000000000003558 14.000000000003805 15.000000000004068 16.000000000004341 17.000000000004636 18.0...
result:
ok 1000 numbers
Test #3:
score: 0
Accepted
time: 231ms
memory: 4776kb
input:
300 8
output:
2.751263051332214 3.390073727054817 4.175006865079772 5.066021519441176 6.020146557840897 7.004557858898051 8.000572593065289 9.000000000000137 10.000000000000142 11.000000000000147 12.000000000000158 13.000000000000171 14.000000000000174 15.000000000000211 16.000000000000220 17.000000000000213 18.0...
result:
ok 300 numbers
Test #4:
score: 0
Accepted
time: 8ms
memory: 4268kb
input:
1000 3
output:
2.230256168102943 3.034765671113214 4.000000000000004 5.000000000000007 6.000000000000008 7.000000000000007 8.000000000000011 9.000000000000012 10.000000000000012 11.000000000000012 12.000000000000016 13.000000000000016 14.000000000000016 15.000000000000018 16.000000000000018 17.000000000000021 18.0...
result:
ok 1000 numbers
Test #5:
score: 0
Accepted
time: 27ms
memory: 4312kb
input:
7 10
output:
2.981586438371788 3.493604960118073 3.965342264912738 4.319677058587539 4.508724856222710 4.498880847650542 4.232183574136640
result:
ok 7 numbers
Test #6:
score: 0
Accepted
time: 971ms
memory: 5200kb
input:
993 9
output:
2.841121228517562 3.464359244642721 4.227324367446740 5.096942598170719 6.035281665808694 7.010574242814168 8.002387394244248 9.000302518390018 10.000000000000494 11.000000000000526 12.000000000000584 13.000000000000627 14.000000000000689 15.000000000000716 16.000000000000789 17.000000000000817 18.0...
result:
ok 993 numbers