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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#162079 | #5677. Clarissa's Conical Cannolis | 1e11 | AC ✓ | 1ms | 3780kb | C++20 | 3.5kb | 2023-09-03 03:56:49 | 2023-09-03 03:56:50 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
// #include <ext/pb_ds/priority_queue.hpp>
// #include <ext/pb_ds/assoc_container.hpp>
// using namespace __gnu_pbds;
#define ordered_set tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>
#define ordered_multiset tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update>
/* ordered_set notes:
.order_of_key(k): Number of items strictly smaller than k
.find_by_order(k): k-th element in a set
*/
#define X first
#define Y second
template <typename A, typename B> istream& operator >> (istream& o, pair<A, B> &a) {
return o >> a.X >> a.Y;
}
template <typename A, typename B> ostream& operator << (ostream& o, pair<A, B> a) {
return o << '(' << a.X << ", " << a.Y << ')';
}
#ifdef cychien
#define DE(...) do {\
fprintf(stderr, "%s - %d : (%s) = ", __PRETTY_FUNCTION__, __LINE__, #__VA_ARGS__);\
_DO(__VA_ARGS__);\
}while(0)
template<typename I> void _DO(I&&x) {cerr << x << '\n';}
template<typename I, typename ...T> void _DO(I&&x,T&&...tail) {cerr << x << ", "; _DO(tail...);}
template<class T> void debug(T l, T r) { while (l != r) cerr << *l << " \n"[next(l)==r], ++l; }
#define IOS
#else
#define DE(...)
#define debug(...)
#define IOS ios_base::sync_with_stdio(0);cin.tie(0)
#endif
#define W(v) {for(auto it = (v).begin(); it != (v).end(); it++)cout << *it << " \n"[next(it) == (v).end()];}
#define pb emplace_back
#define mp make_pair
#define rsz resize
#define SZ(x) (ll)x.size()
#define AI(x) (x).begin(),(x).end()
#define SORT(x) sort(AI(x))
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true); }
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true); }
typedef long double ld;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vll;
const int NF = 0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3f;
const ll MOD = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Rand(){
return uniform_int_distribution<int>(INT_MIN, INT_MAX)(rng);
}
/*
#include <atcoder/all>
using namespace atcoder;
using mint = modint1000000007;
using mint = modint998244353;
*/
using dbl = long double;
const dbl eps = 1e-8, PI = acos(-1);
dbl D, S, r, o;
dbl theta;
dbl up(dbl x){
return x * x;
}
dbl crepe(dbl B, dbl m){
dbl a = r, b = S - B - m, c = S - B - r;
DE(a, S, B, m, b, c);
dbl phi = acos((b * b + c * c - a * a) / 2 / b / c);
dbl arc = 2 * b * phi;
return arc;
}
dbl cone(dbl B){
return (S - B) / S * PI * D;
}
int main() {
IOS;
cin >> D >> S >> r >> o;
theta = acos(D / 2 / S);
auto chk = [&](dbl B){
dbl lo = 0, hi = 2 * r;
while (hi - lo > eps){
dbl ml = (lo + lo + hi) / 3, mr = (lo + hi + hi) / 3;
dbl lhs = crepe(B, ml) - cone(B + ml), rhs = crepe(B, mr) - cone(B + mr);
if (lhs < rhs){
lo = ml;
}
else {
hi = mr;
}
}
DE(B, lo, crepe(B, lo));
return crepe(B, lo) - cone(B + lo);
};
cerr << fixed << setprecision(20);
if (chk(S - 2 * r) < o - eps){
cout << "-2.0\n";
}
else if (chk(0) > o + eps){
cout << "-1.0\n";
}
else {
dbl lo = 0, hi = S - 2 * r;
while (hi - lo > eps){
dbl mid = (hi + lo) / 2;
if (chk(mid) < o) lo = mid;
else hi = mid;
}
cout << fixed << setprecision(1) << lo << '\n';
}
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3712kb
input:
8.00 12.00 5.00 0.50
output:
1.5
result:
ok single line: '1.5'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
5.00 12.00 5.00 0.50
output:
-1.0
result:
ok single line: '-1.0'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
11.00 12.00 5.00 0.50
output:
-2.0
result:
ok single line: '-2.0'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3772kb
input:
7.00 12.00 3.00 0.90
output:
5.8
result:
ok single line: '5.8'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
8.50 12.00 3.00 0.90
output:
-2.0
result:
ok single line: '-2.0'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3624kb
input:
10.00 12.00 3.00 0.70
output:
-2.0
result:
ok single line: '-2.0'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3780kb
input:
5.50 12.00 3.50 0.30
output:
3.4
result:
ok single line: '3.4'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3756kb
input:
7.00 12.00 3.50 0.70
output:
4.5
result:
ok single line: '4.5'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
8.50 12.00 3.50 0.70
output:
5.0
result:
ok single line: '5.0'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3676kb
input:
10.00 12.00 3.50 0.30
output:
-2.0
result:
ok single line: '-2.0'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3684kb
input:
5.50 12.00 4.00 0.70
output:
2.5
result:
ok single line: '2.5'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3676kb
input:
7.00 12.00 4.00 0.90
output:
3.5
result:
ok single line: '3.5'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3736kb
input:
8.50 12.00 4.00 0.50
output:
3.8
result:
ok single line: '3.8'
Test #14:
score: 0
Accepted
time: 1ms
memory: 3604kb
input:
10.00 12.00 4.00 0.30
output:
-2.0
result:
ok single line: '-2.0'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3776kb
input:
5.50 12.00 4.50 0.50
output:
1.1
result:
ok single line: '1.1'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
7.00 12.00 4.50 0.50
output:
2.1
result:
ok single line: '2.1'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
8.50 12.00 4.50 0.70
output:
2.9
result:
ok single line: '2.9'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3600kb
input:
10.00 12.00 4.50 0.50
output:
-2.0
result:
ok single line: '-2.0'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3676kb
input:
5.50 12.00 5.00 0.30
output:
-1.0
result:
ok single line: '-1.0'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3668kb
input:
7.00 12.00 5.00 0.90
output:
1.3
result:
ok single line: '1.3'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
8.50 12.00 5.00 0.70
output:
1.8
result:
ok single line: '1.8'
Test #22:
score: 0
Accepted
time: 1ms
memory: 3776kb
input:
10.00 12.00 5.00 0.30
output:
2.0
result:
ok single line: '2.0'
Test #23:
score: 0
Accepted
time: 1ms
memory: 3704kb
input:
5.50 12.00 5.50 0.90
output:
-1.0
result:
ok single line: '-1.0'