#include <bits/stdc++.h>
using namespace std;
template<typename T>
int SIZE(T (&t)){
return t.size();
}
template<typename T, size_t N>
int SIZE(T (&t)[N]){
return N;
}
string to_string(char t){
return "'" + string({t}) + "'";
}
string to_string(bool t){
return t ? "true" : "false";
}
string to_string(const string &t, int x1=0, int x2=1e9){
string ret = "";
for(int i = min(x1,SIZE(t)), _i = min(x2,SIZE(t)-1); i <= _i; ++i){
ret += t[i];
}
return '"' + ret + '"';
}
string to_string(const char* t){
string ret(t);
return to_string(ret);
}
template<size_t N>
string to_string(const bitset<N> &t, int x1=0, int x2=1e9){
string ret = "";
for(int i = min(x1,SIZE(t)); i <= min(x2,SIZE(t)-1); ++i){
ret += t[i] + '0';
}
return to_string(ret);
}
template<typename T, typename... Coords>
string to_string(const T (&t), int x1=0, int x2=1e9, Coords... C);
template<typename T, typename S>
string to_string(const pair<T, S> &t){
return "(" + to_string(t.first) + ", " + to_string(t.second) + ")";
}
template<typename T, typename... Coords>
string to_string(const T (&t), int x1, int x2, Coords... C){
string ret = "[";
x1 = min(x1, SIZE(t));
auto e = begin(t);
advance(e,x1);
for(int i = x1, _i = min(x2,SIZE(t)-1); i <= _i; ++i){
ret += to_string(*e, C...) + (i != _i ? ", " : "");
e = next(e);
}
return ret + "]";
}
template<int Index, typename... Ts>
struct print_tuple{
string operator() (const tuple<Ts...>& t) {
string ret = print_tuple<Index - 1, Ts...>{}(t);
ret += (Index ? ", " : "");
return ret + to_string(get<Index>(t));
}
};
template<typename... Ts>
struct print_tuple<0, Ts...> {
string operator() (const tuple<Ts...>& t) {
return to_string(get<0>(t));
}
};
template<typename... Ts>
string to_string(const tuple<Ts...>& t) {
const auto Size = tuple_size<tuple<Ts...>>::value;
return print_tuple<Size - 1, Ts...>{}(t);
}
void dbgr(){;}
template<typename Heads, typename... Tails>
void dbgr(Heads H, Tails... T){
cout << to_string(H) << " | ";
dbgr(T...);
}
void dbgs(){;}
template<typename Heads, typename... Tails>
void dbgs(Heads H, Tails... T){
cout << H << " ";
dbgs(T...);
}
/*
formatted functions:
*/
/*
consider __VA_ARGS__ as a whole:
dbgv() prints values only
dbg() prints name and values
*/
#define dbgv(...) cout << to_string(__VA_ARGS__) << endl;
#define dbg(...) cout << "[" << #__VA_ARGS__ << "]: "; dbgv(__VA_ARGS__);
//#define dbg(...)
/*
consider __VA_ARGS__ as a sequence of arguments:
dbgr() prints values only
dbgm() prints names and values
*/
#define dbgr(...) dbgr(__VA_ARGS__); cout << endl;
#define dbgm(...) cout << "[" << #__VA_ARGS__ << "]: "; dbgr(__VA_ARGS__);
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
typedef double ld;
typedef long long ll;
typedef unsigned int ui;
typedef unsigned long long ull;
typedef pair<int, int> pi;
typedef pair<ll, ll> pll;
// using u128 = __uint128_t;
// using i128 = __int128;
const int mod = 1000000007;
const int N = 100005;
const int LOG = 20;
const int inf = 1e9;
const ld eps = 1e-11;
struct Line {
ld m, b;
int idx;
Line() {}
Line(ld m, ld b, int idx) : m(m), b(b), idx(idx) {}
ld intersect(Line x) {
return (x.b - b) / (m - x.m);
}
ld eval(ld x) {
return m * x + b;
}
};
ld dp[N];
int nxt[N];
int n, m, k, qq;
void solve() {
cin >> n >> k;
ld l = 0, r = 1, out = 0;
while (r - l > eps) {
ld mid = (l + r) / 2;
deque<Line> q;
q.push_back(Line(1.0 / n, 1 - mid, n));
for (int i = n - 1; i >= 0; i--) {
while (q.size() > 1) {
ld x = q[0].intersect(q[1]);
if (x > -i) break;
q.pop_front();
}
dp[i] = q[0].m * -i + q[0].b, nxt[i] = q[0].idx;
Line l(1.0 / i, dp[i] + 1 - mid, i);
while (q.size() > 1) {
int sz = q.size();
ld x1 = q[sz - 2].intersect(q[sz - 1]);
ld x2 = q[sz - 1].intersect(l);
if (x1 < x2) break;
q.pop_back();
}
q.push_back(l);
}
int cnt = 0, cur = 0;
while (cur != n) {
cnt++, cur = nxt[cur];
}
if (cnt <= k) {
r = mid;
out = dp[0] + mid * cnt;
}
else l = mid;
}
cout << setprecision(15);
cout << out << "\n";
}
int32_t main() {
std::ios::sync_with_stdio(false);
cin.tie(NULL);
solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
516 KB |
Output is correct |
2 |
Correct |
4 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
512 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
71 ms |
1884 KB |
Output is correct |
2 |
Correct |
69 ms |
2140 KB |
Output is correct |
3 |
Correct |
61 ms |
1880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
66 ms |
1884 KB |
Output is correct |
2 |
Correct |
66 ms |
2136 KB |
Output is correct |
3 |
Correct |
64 ms |
2140 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
65 ms |
1880 KB |
Output is correct |
2 |
Correct |
68 ms |
2140 KB |
Output is correct |
3 |
Correct |
66 ms |
2140 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
74 ms |
2044 KB |
Output is correct |
2 |
Correct |
71 ms |
2136 KB |
Output is correct |
3 |
Correct |
62 ms |
1884 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
66 ms |
1880 KB |
Output is correct |
2 |
Correct |
67 ms |
2140 KB |
Output is correct |
3 |
Correct |
63 ms |
2140 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
71 ms |
2140 KB |
Output is correct |
2 |
Correct |
66 ms |
2136 KB |
Output is correct |
3 |
Correct |
74 ms |
1984 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
69 ms |
2140 KB |
Output is correct |
2 |
Correct |
62 ms |
1884 KB |
Output is correct |
3 |
Correct |
69 ms |
2036 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
67 ms |
1884 KB |
Output is correct |
2 |
Correct |
83 ms |
2136 KB |
Output is correct |
3 |
Correct |
61 ms |
1880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
2136 KB |
Output is correct |
2 |
Correct |
66 ms |
2140 KB |
Output is correct |
3 |
Correct |
69 ms |
2140 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
71 ms |
2140 KB |
Output is correct |
2 |
Correct |
66 ms |
2392 KB |
Output is correct |
3 |
Correct |
67 ms |
2140 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
81 ms |
2140 KB |
Output is correct |
2 |
Correct |
69 ms |
2136 KB |
Output is correct |
3 |
Correct |
66 ms |
2136 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
72 ms |
2136 KB |
Output is correct |
2 |
Correct |
69 ms |
2140 KB |
Output is correct |
3 |
Correct |
68 ms |
2136 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
72 ms |
2136 KB |
Output is correct |
2 |
Correct |
68 ms |
2140 KB |
Output is correct |
3 |
Correct |
67 ms |
2140 KB |
Output is correct |