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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#387040 | #5111. Take On Meme | Energy_is_not_over | WA | 177ms | 10452kb | C++17 | 6.1kb | 2024-04-11 23:54:25 | 2024-04-11 23:54:26 |
Judging History
answer
//
// Stvoreno ENERGom o 11.04.24. 16:40:54
//
#include <bits/stdc++.h>
#define all(a) a.begin(),a.end()
#define len(a) (int)(a.size())
#define F first
#define fir first
#define S second
#define sec second
#define mp make_pair
#define MP make_pair
#define pb push_back
#define PB push_back
using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
#ifdef Energy
#define DEBUG for (int _____DEBUG=1;_____DEBUG;_____DEBUG=0)
template<class ...Ts>
auto &PRNT(Ts ...ts) { return ((cerr << ts << " "), ...); }
#define LOG(...) PRNT(#__VA_ARGS__" ::",__VA_ARGS__)<<endl
#else
#define DEBUG while (0)
#define LOG(...)
#endif
const int max_n = 10011, inf = 1000111222;
const ld pi = 2 * acosl(0.0l);
const int max_its = 50;
struct Point {
int x, y;
Point operator - (const Point &p) const {
return {x - p.x, y - p.y};
}
};
int n;
vector<int> g[max_n];
Point p[max_n];
vector<Point> points;
vector<ld> angs;
void add(ld ang) {
if (ang >= 2 * pi) {
ang -= 2 * pi;
}
angs.push_back(ang);
}
const ld phi = (sqrtl(5) - 1) / 2;
const ld phi1 = 1 - phi;
const int max_cands = 4 * max_n;
ld val[max_n];
pair<ld, pair<int, int>> dp[max_n][2], tmp[2][2];
void upd(pair<ld, pair<int, int>> &a, const pair<ld, pair<int, int>> &b) {
a = max(a, b);
}
pair<ld, pair<int, int>> comb(const pair<ld, pair<int, int>> &a, const pair<ld, pair<int, int>> &b) {
return {a.first + b.first, {a.second.first + b.second.first, a.second.second + b.second.second}};
}
int q1 = 0, q2 = 1;
void calc(int v) {
for (int to : g[v]) {
calc(to);
}
for (int f = 0; f < 2; ++f) {
int sign = 1 - 2 * f;
if (g[v].empty()) {
dp[v][f] = {sign * val[v], {p[v].x * sign, p[v].y * sign}};
continue;
}
tmp[q1][0] = {-1e18, {0, 0}};
tmp[q1][1] = {-1e18, {0, 0}};
tmp[q1][0] = {0, {0, 0}};
for (int to : g[v]) {
tmp[q2][0] = {-1e18, {0, 0}};
tmp[q2][1] = {-1e18, {0, 0}};
for (int cur = 0; cur < 2; ++cur) {
for (int take = 0; cur + take < 2; ++take) {
upd(tmp[q2][cur + take], comb(tmp[q1][cur], dp[to][f ^ take]));
}
}
swap(q1, q2);
}
dp[v][f] = tmp[q1][1];
}
// LOG(v, dp[v][0].first, dp[v][1].first);
}
pair<ld, ll> f(ld ang) {
ld dx = cosl(ang), dy = sinl(ang);
const ld A = -dy, B = dx, C = 0;
const ld SQ = sqrtl(A * A + B * B);
for (int i = 0; i < n; ++i) {
if (g[i].empty()) {
ld dd = (A * p[i].x + B * p[i].y + C) / SQ;
ld dot = (dx * p[i].x + dy * p[i].y);
val[i] = sqrtl(p[i].x * p[i].x + p[i].y * p[i].y - dd * dd);
if (dot < 0) {
val[i] *= -1;
}
// LOG(i, dd, val[i]);
}
}
// LOG(val[3] + val[2] + val[1]);
calc(0);
return {dp[0][0].first, 1LL * dp[0][0].second.first * dp[0][0].second.first + 1LL * dp[0][0].second.second * dp[0][0].second.second};
}
struct Data {
ld L, R, m1, m2;
pair<ld, ll> ans1, ans2;
pair<ld, ll> get_ans() {
return max(ans1, ans2);
}
void init(ld LL, ld RR) {
L = LL;
R = RR;
m1 = L * phi + R * phi1;
ans1 = f(m1);
m2 = L * phi1 + R * phi;
ans2 = f(m2);
}
void iter() {
if (ans1 > ans2) {
R = m2;
m2 = m1;
ans2 = ans1;
m1 = L * phi + R * phi1;
ans1 = f(m1);
} else {
L = m1;
m1 = m2;
ans1 = ans2;
m2 = L * phi1 + R * phi;
ans2 = f(m2);
}
}
ll get_ok_ans() {
return max(ans1.second, ans2.second);
}
};
Data d[max_cands];
void dfs(int v, int h = 0) {
for (int to : g[v]) {
dfs(to, h ^ 1);
}
if (g[v].empty()) {
if (h) {
p[v].x *= -1;
p[v].y *= -1;
}
}
}
int main() {
// freopen("input_k.txt","r",stdin);
// freopen("output.txt","w",stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for (int i = 0; i < n; ++i) {
int k;
cin >> k;
if (!k) {
cin >> p[i].x >> p[i].y;
LOG(p[i].x, p[i].y);
} else {
while (k--) {
int to;
cin >> to;
--to;
g[i].push_back(to);
}
}
}
dfs(0);
for (int i = 0; i < n; ++i) {
if (p[i].x || p[i].y) {
points.push_back(p[i]);
}
}
if (0) {
auto [d1, d2] = f(atan2(-12, 5));
LOG(d1, d2);
LOG(d1 * d1);
return 0;
}
angs.push_back(0);
angs.push_back(2 * pi);
for (int it = 1; it < 4; ++it) {
angs.push_back(it * 2 * pi / 4);
}
// for (auto p : points) {
// ld ang = atan2l(p.y, p.x);
// if (ang < 0) {
// ang += 2 * pi;
// }
// add(ang + pi / 2);
// add(ang + 3 * pi / 2);
// }
sort(angs.begin(), angs.end());
vector<pair<pair<ld, ll>, int>> cands, ncands;
for (int i = 0; i + 1 < angs.size(); ++i) {
d[i].init(angs[i], angs[i + 1]);
cands.push_back({{0, 0}, i});
}
ll ans = 0;
for (int it = 0; it < max_its; ++it) {
ncands.clear();
for (auto [P, id] : cands) {
d[id].iter();
ans = max(ans, d[id].get_ok_ans());
ncands.push_back({d[id].get_ans(), id});
}
int to_leave = ncands.size();
to_leave = 10;
if (it > 3) {
// to_leave *= 0.74;
// to_leave = max(to_leave, 47);
}
nth_element(ncands.begin(), ncands.begin() + to_leave, ncands.end(), greater<pair<pair<ld, ll>, int>>());
if (ncands.size() > to_leave) {
ncands.resize(to_leave);
}
cands.swap(ncands);
}
cout << ans << "\n";
exit(0);
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 9104kb
input:
5 4 2 3 4 5 0 2 -2 0 1 3 0 4 -6 0 -18 5
output:
725
result:
ok single line: '725'
Test #2:
score: 0
Accepted
time: 0ms
memory: 9168kb
input:
5 2 2 3 2 4 5 0 1 5 0 -4 -6 0 -1 7
output:
340
result:
ok single line: '340'
Test #3:
score: 0
Accepted
time: 3ms
memory: 9316kb
input:
18 3 4 3 2 2 5 6 3 7 9 8 3 10 11 12 0 4 -1 0 18 49 0 -2 10 2 13 14 0 -5 6 0 5 8 4 15 16 17 18 0 17 3 0 3 -9 0 -7 -1 0 14 -33 0 -23 11 0 11 14 0 2 19
output:
26269
result:
ok single line: '26269'
Test #4:
score: 0
Accepted
time: 177ms
memory: 10384kb
input:
10000 59 2 171 340 509 678 847 1016 1185 1382 1551 1720 1889 2058 2227 2396 2565 2734 2903 3072 3241 3410 3579 3748 3917 4086 4255 4424 4593 4762 4931 5100 5269 5438 5607 5776 5945 6114 6283 6452 6621 6790 6959 7128 7297 7466 7635 7804 7973 8142 8311 8480 8649 8818 8987 9156 9325 9494 9663 9832 2 3 ...
output:
4893524000116
result:
ok single line: '4893524000116'
Test #5:
score: -100
Wrong Answer
time: 172ms
memory: 10452kb
input:
10000 37 2 272 542 812 1082 1352 1622 1892 2162 2432 2702 2972 3242 3512 3782 4052 4322 4592 4862 5132 5402 5672 5942 6212 6482 6752 7022 7292 7571 7841 8111 8381 8651 8921 9191 9461 9731 51 3 8 13 18 23 42 47 52 57 62 67 72 77 82 87 92 97 102 107 112 117 122 127 132 137 142 147 152 157 162 167 172 ...
output:
5186175362425
result:
wrong answer 1st lines differ - expected: '5186192629829', found: '5186175362425'