QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#699199 | #2950. Growing Some Oobleck | nickbelov# | WA | 30ms | 7192kb | C++20 | 4.0kb | 2024-11-02 04:59:10 | 2024-11-02 04:59:10 |
Judging History
answer
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T>
ostream_iterator<T> oit(const string &s = " "){ return ostream_iterator<T>(cout,s.c_str()); }
inline auto rep(int l, int r) { return views::iota(min(l, r), r); }
inline auto rep(int n) { return rep(0, n); }
inline auto rep1(int l, int r) { return rep(l, r + 1); }
inline auto rep1(int n) { return rep(1, n + 1); }
inline auto per(int l, int r) { return rep(l, r) | views::reverse; }
inline auto per(int n) { return per(0, n); }
inline auto per1(int l, int r) { return per(l, r + 1); }
inline auto per1(int n) { return per(1, n + 1); }
#define A(a) begin(a),end(a)
inline auto len = ranges::ssize;
struct chash {
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);
}
};
template<typename T, typename U> using pb_map = gp_hash_table<T, U, chash>;
template<typename T> using pb_set = gp_hash_table<T, null_type, chash>;
#define K first
#define V second
using ll = long long;
using ld = long double;
using vi = vector<int>;
using vii = vector<vector<int>>;
typedef vector<ll> vll;
using pll = pair<ll,ll>;
using pii = pair<int,int>;
constexpr ld EPSILON = 1e-10;
constexpr ll NN = 2e5, M = 1000000007, L = 20;
ll f1[NN], f2[NN];
ll inv(ll a, ll b=M) { return 1 < a ? b - inv(b % a, a) * b / a : 1; } // inv a mod b
ll choose(ll n, ll k) { return f1[n] * f2[k] % M * f2[n - k] % M; } // n choose k
int n;
struct Circle {
ld x, y, r, s;
};
vector<Circle> circs;
void del(int i) {
swap(circs[i], circs[n-1]);
--n;
circs.pop_back();
}
void expand(ld t) {
for (auto& c : circs) {
c.r += c.s * t;
}
}
void cascade(int i) {
ld sx = 0, sy = 0, sa = 0, ms = 0;
int cnt = 0;
auto& c = circs[i];
vector<int> marked;
for (int j : rep(n)) {
auto& c2 = circs[j];
if (hypotl(c.x-c2.x, c.y-c2.y) <= c.r + c2.r + EPSILON) {
cnt++;
sx += c2.x;
sy += c2.y;
sa = hypotl(sa, c2.r);
ms = max(ms, c2.s);
marked.push_back(j);
}
}
if (marked.size() <= 1) return;
c.x = sx / cnt;
c.y = sy / cnt;
c.r = sa;
c.s = ms;
reverse(A(marked));
for (int x : marked) {
if (x == i) continue;
if (i == n-1) {
i = x;
}
del(x);
}
cascade(i);
}
void mrg() {
int a, b;
ld d = INFINITY, t = 0;
for (int i : rep(n)) {
for (int j : rep(i)) {
auto& c1 = circs[i], c2 = circs[j];
ld d1 = (hypotl(c1.x - c2.x, c1.y - c2.y) - c1.r - c2.r);
if (d1 <= d + EPSILON) {
a = i; b = j;
d = d1;
t = d1 / (c1.s + c2.s);
}
}
}
expand(t);
auto& c1 = circs[a], c2 = circs[b];
c1.x = (c1.x + c2.x) / 2;
c1.y = (c1.y + c2.y) / 2;
c1.r = hypotl(c1.r, c2.r);
c1.s = max(c1.s, c2.s);
if (a == n-1) a = b;
del(b);
cascade(a);
}
void run()
{
cin >> n;
circs.resize(n);
for (auto& c : circs) {
cin >> c.x >> c.y >> c.r >> c.s;
}
while (circs.size() > 1) mrg();
cout << fixed << setprecision(12) << circs[0].x << " " << circs[0].y << endl;
cout << circs[0].r << endl;
}
int main()
{
//KING OF THE WORLD...... U.W.T.B
cin.tie(0);
ios_base::sync_with_stdio(false);
f1[0] = 1;
f2[0] = 1;
for (int i = 1; i < NN; i++) {
f1[i] = f1[i - 1] * i % M;
f2[i] = inv(f1[i], M);
}
int t=1; while(t--) run();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 30ms
memory: 7132kb
input:
3 10 10 5 1 24 10 7 1 16 2 2 1
output:
16.500000000000 6.000000000000 10.440306508911
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 29ms
memory: 7128kb
input:
5 -5 0 1 1 6 0 1 1 0 7 1 1 0 -8 1 1 0 0 1 2
output:
1.187500000000 -3.125000000000 7.616776813122
result:
ok 3 numbers
Test #3:
score: 0
Accepted
time: 29ms
memory: 7096kb
input:
2 -1000000000 0 1 1 1000000000 0 1 1
output:
0.000000000000 0.000000000000 1414213562.373095048824
result:
ok 3 numbers
Test #4:
score: 0
Accepted
time: 29ms
memory: 7116kb
input:
4 -100000000 -1000000000 1 2 1000000000 -1000000000 1 2 -1000000000 1000000000 1 3 1000000000 1000000000 1 3
output:
225000000.000000000000 0.000000000000 1673350486.960810329299
result:
ok 3 numbers
Test #5:
score: 0
Accepted
time: 25ms
memory: 7192kb
input:
4 -100000000 -1000000000 1 1000000 1000000000 -1000000000 1 1000000 -1000000000 1000000000 1 3 1000000000 1000000000 1 3
output:
-137500000.000000000000 500000000.000000000000 2074241311.012399946107
result:
ok 3 numbers
Test #6:
score: 0
Accepted
time: 29ms
memory: 7180kb
input:
10 -1 1 1 1 3 1 1 1 8 1 1 1 21 1 1 1 55 1 1 1 155 1 1 1 355 1 1 1 900 1 1 1 2000 1 1 1 20000 1 1 1
output:
10640.589843750000 1.000000000000 13239.142792141766
result:
ok 3 numbers
Test #7:
score: 0
Accepted
time: 29ms
memory: 7096kb
input:
10 1 1 1 1 1 -3 1 1 1 -8 1 1 1 -21 1 1 1 -55 1 1 1 -155 1 1 1 -355 1 1 1 -900 1 1 1 -2000 1 1 1 -20000 1 1
output:
1.000000000000 -10640.589843750000 13239.142792141766
result:
ok 3 numbers
Test #8:
score: -100
Wrong Answer
time: 30ms
memory: 7120kb
input:
8 -1 1 1 2 -5 5 1 2 0 6 1 1 -6 0 1 1 1001 -1 1 3 1005 -5 1 3 1006 0 1 1 1000 -6 1 1
output:
500.437500000000 0.687500000000 725.909913231704
result:
wrong answer 1st numbers differ - expected: '500.0000000', found: '500.4375000', error = '0.0008750'