/*
Templete by norman/KNN-07
Who tf even love CP :sob:
*/
#ifndef LOCAL
#pragma GCC optimize("Ofast,unroll-loops,inline")
// Bitwise pragma fuck
// #pragma GCC target("avx,avx2,bmi")
// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("arch=skylake")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
#endif
#include <bits/stdc++.h>
using namespace std;
// Wish you can debug? YesYes
#ifndef LOCAL
#define cerr \
if (0) \
cerr
#endif
// Policy based DS?
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
// Who tf deal with overflow
#define int long long
/*
pbds blog :
https://codeforces.com/blog/entry/11080
https://codeforces.com/blog/entry/13279
*/
// Useful pbds
// template <typename T>
// using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// template <typename T>
// using ordered_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
// typedef trie<string, null_type, trie_string_access_traits<>, pat_trie_tag, trie_prefix_search_node_update> pref_trie;
#define el '\n'
#define mpp make_pair
#define pb push_back
#define ppb pop_back
#define pf push_front
#define emp emplace_back
#define fi first
#define nd second
#define forinc(i, a, b) for (int i = (a); i <= (b); i++)
#define fordec(i, a, b) for (int i = (a); i >= (b); i--)
#define alle(x) (x).begin(), (x).end()
#define ralle(x) (x).rbegin(), (x).rend()
#define mms(a, v) memset(a, v, sizeof(a))
#define lwb(a, v) lower_bound((a).begin(), (a).end(), v)
#define upb(a, v) upper_bound((a).begin(), (a).end(), v)
#define bit(i, a) (((a) >> (i)) & 1)
#define BIT_SET(a, b) ((a) |= (1ULL << (b)))
#define BIT_CLEAR(a, b) ((a) &= ~(1ULL << (b)))
#define BIT_FLIP(a, b) ((a) ^= (1ULL << (b)))
#define BIT_CHECK(a, b) (!!((a) & (1ULL << (b))))
#define BITMASK_SET(x, mask) ((x) |= (mask))
#define BITMASK_CLEAR(x, mask) ((x) &= (~(mask)))
#define BITMASK_FLIP(x, mask) ((x) ^= (mask))
#define BITMASK_CHECK_ALL(x, mask) (!(~(x) & (mask)))
#define BITMASK_CHECK_ANY(x, mask) ((x) & (mask))
#define POPCNT(mask) __builtin_popcount(mask)
#define POPCNTLL(mask) __builtin_popcountll(mask)
#define CTZ(mask) __builtin_ctz(mask)
#define CTZLL(mask) __builtin_ctzll(mask)
typedef long long ll;
typedef unsigned long long ull;
typedef long double ldb;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef map<int, int> mii;
typedef map<ll, ll> mll;
typedef vector<bool> vb;
template <typename T, typename U>
inline void maximize(T &x, U y)
{
if (y < x)
x = y;
}
template <typename T, typename U>
inline void minimize(T &x, U y)
{
if (x < y)
x = y;
}
inline int add_m(int a, int b, int mod)
{
int res = a + b;
return (res >= mod ? res - mod : res);
}
inline int mod_neg(int a, int b, int mod)
{
int res;
if (abs(a - b) < mod)
res = a - b;
else
res = (a - b) % mod;
return (res < 0 ? res + mod : res);
}
inline int mul_wmod(int a, int b, int c)
{
ll res = (ll)a * b;
return (res >= c ? res % c : res);
}
inline int mul_wnmod(int a, int b, int c)
{
ll res = (ll)a * b;
return ((res % c) + c) % c;
}
// Debugger Utils
template <typename A, typename B>
ostream &operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template <size_t i, class T>
ostream &print_tuple_utils(ostream &out, const T &tup)
{
if constexpr (i == tuple_size<T>::value)
return out << ")";
else
return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup);
}
template <class... U>
ostream &operator<<(ostream &out, const tuple<U...> &t)
{
return print_tuple_utils<0, tuple<U...>>(out, t);
}
#define db(val) "[" #val " = " << (val) << "] "
// End if debugger utils
namespace Hasher
{
struct custom_hash
{
static uint32_t splitmix64(uint32_t x)
{
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);
}
};
struct hash_pair
{
template <class T1, class T2>
size_t operator()(const pair<T1, T2> &p) const
{
auto hash1 = custom_hash{}(p.first);
auto hash2 = custom_hash{}(p.second);
if (hash1 != hash2)
return hash1 ^ hash2;
return hash1;
}
};
struct hash_pair_pair
{
template <class T1, class T2>
size_t operator()(const pair<T1, T2> &p) const
{
auto hash1 = custom_hash{}(p.first);
auto hash2 = hash_pair{}(p.second);
if (hash1 != hash2)
return hash1 ^ hash2;
return hash1;
}
};
}
using namespace Hasher;
const string taskname = "";
const bool tc = false;
const int oo = 1e9, mod = 1e9 + 7;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const ll ool = 1e18;
const ldb eps = 1e-6;
const int MAXN = 1e6;
/*
Author: normankr07
Problem:
Submission links:
Editorial links:
Algorithm:
*/
void solve()
{
int n, L;
cin >> n >> L;
vector<pii> arr(n);
for (auto &[u, v] : arr)
cin >> u >> v;
ldb l = 0, r = 1e10;
auto check = [&](ldb mid) -> bool
{
ldb cur = 0;
for (const auto &[x, y] : arr)
{
ldb diff = sqrtl(mid * mid - y * y);
if (x - diff <= cur)
cur = max(cur, x + diff);
}
return L <= cur;
};
ldb ans = 1;
while (r - l >= 1e-4)
{
ldb mid = (l + r) / 2;
if (check(mid))
{
r = mid;
ans = mid;
}
else
l = mid;
}
cout << fixed << setprecision(6) << ans;
}
int32_t main()
{
if (fopen((taskname + ".inp").c_str(), "r"))
{
freopen((taskname + ".inp").c_str(), "r", stdin);
freopen((taskname + ".out").c_str(), "w", stdout);
}
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int tsc = 1;
if (tc)
{
cin >> tsc;
}
while (tsc--)
{
solve();
cout << el;
}
#ifdef LOCAL
cerr << "\n"
<< "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
#endif
}
Compilation message
mobile.cpp: In function 'int32_t main()':
mobile.cpp:254:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
254 | freopen((taskname + ".inp").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
mobile.cpp:255:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
255 | freopen((taskname + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
5 ms |
400 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
3 ms |
404 KB |
Output is correct |
4 |
Correct |
4 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
5 ms |
340 KB |
Output is correct |
5 |
Correct |
3 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
57 ms |
1492 KB |
Output is correct |
2 |
Correct |
29 ms |
1492 KB |
Output is correct |
3 |
Correct |
23 ms |
1748 KB |
Output is correct |
4 |
Correct |
69 ms |
2656 KB |
Output is correct |
5 |
Correct |
31 ms |
1492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
55 ms |
1492 KB |
Output is correct |
2 |
Correct |
54 ms |
1364 KB |
Output is correct |
3 |
Correct |
64 ms |
1492 KB |
Output is correct |
4 |
Correct |
67 ms |
2772 KB |
Output is correct |
5 |
Correct |
78 ms |
3088 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
27 ms |
1620 KB |
Output is correct |
2 |
Correct |
28 ms |
1620 KB |
Output is correct |
3 |
Correct |
37 ms |
2536 KB |
Output is correct |
4 |
Correct |
98 ms |
3792 KB |
Output is correct |
5 |
Correct |
63 ms |
2608 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
37 ms |
1876 KB |
Output is correct |
2 |
Correct |
41 ms |
1876 KB |
Output is correct |
3 |
Correct |
44 ms |
2916 KB |
Output is correct |
4 |
Correct |
103 ms |
3796 KB |
Output is correct |
5 |
Correct |
78 ms |
3040 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
34 ms |
1876 KB |
Output is correct |
2 |
Correct |
32 ms |
1876 KB |
Output is correct |
3 |
Correct |
52 ms |
2908 KB |
Output is correct |
4 |
Correct |
98 ms |
3804 KB |
Output is correct |
5 |
Correct |
79 ms |
3164 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
154 ms |
8148 KB |
Output is correct |
2 |
Correct |
167 ms |
8148 KB |
Output is correct |
3 |
Correct |
169 ms |
15308 KB |
Output is correct |
4 |
Correct |
498 ms |
17736 KB |
Output is correct |
5 |
Correct |
444 ms |
14924 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
167 ms |
8148 KB |
Output is correct |
2 |
Correct |
353 ms |
14680 KB |
Output is correct |
3 |
Correct |
237 ms |
13776 KB |
Output is correct |
4 |
Correct |
528 ms |
17480 KB |
Output is correct |
5 |
Correct |
430 ms |
15432 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
187 ms |
9684 KB |
Output is correct |
2 |
Correct |
198 ms |
9684 KB |
Output is correct |
3 |
Correct |
207 ms |
18380 KB |
Output is correct |
4 |
Correct |
594 ms |
21480 KB |
Output is correct |
5 |
Correct |
492 ms |
17644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
197 ms |
9684 KB |
Output is correct |
2 |
Correct |
431 ms |
17640 KB |
Output is correct |
3 |
Correct |
269 ms |
16488 KB |
Output is correct |
4 |
Correct |
633 ms |
21356 KB |
Output is correct |
5 |
Correct |
535 ms |
18412 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
216 ms |
11220 KB |
Output is correct |
2 |
Correct |
228 ms |
11220 KB |
Output is correct |
3 |
Correct |
242 ms |
21392 KB |
Output is correct |
4 |
Correct |
702 ms |
24832 KB |
Output is correct |
5 |
Correct |
559 ms |
20236 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
233 ms |
11220 KB |
Output is correct |
2 |
Correct |
497 ms |
20480 KB |
Output is correct |
3 |
Correct |
327 ms |
19596 KB |
Output is correct |
4 |
Correct |
703 ms |
24604 KB |
Output is correct |
5 |
Correct |
587 ms |
21324 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
258 ms |
12756 KB |
Output is correct |
2 |
Correct |
261 ms |
12756 KB |
Output is correct |
3 |
Correct |
272 ms |
24364 KB |
Output is correct |
4 |
Correct |
815 ms |
28440 KB |
Output is correct |
5 |
Correct |
661 ms |
23960 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
270 ms |
12756 KB |
Output is correct |
2 |
Correct |
573 ms |
23336 KB |
Output is correct |
3 |
Correct |
353 ms |
22352 KB |
Output is correct |
4 |
Correct |
790 ms |
28208 KB |
Output is correct |
5 |
Correct |
664 ms |
24364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
323 ms |
15956 KB |
Output is correct |
2 |
Correct |
331 ms |
15956 KB |
Output is correct |
3 |
Correct |
337 ms |
30448 KB |
Output is correct |
4 |
Correct |
997 ms |
35168 KB |
Output is correct |
5 |
Correct |
818 ms |
29556 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
333 ms |
15956 KB |
Output is correct |
2 |
Correct |
736 ms |
29160 KB |
Output is correct |
3 |
Correct |
457 ms |
28388 KB |
Output is correct |
4 |
Correct |
977 ms |
35328 KB |
Output is correct |
5 |
Correct |
859 ms |
30704 KB |
Output is correct |