QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#535706 | #3139. Largest Quadrilateral | Thirvin | WA | 6ms | 3912kb | C++17 | 3.8kb | 2024-08-28 13:43:45 | 2024-08-28 13:43:46 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ld = long long;
using pii = pair<int, int> ;
using ll = long long;
#define mp(a, b) make_pair(a, b)
#define pb(a) push_back(a)
#define F first
#define S second
template<typename T>
pair<T, T> operator-(pair<T, T> a, pair<T, T> b){
return mp(a.F - b.F, a.S - b.S);
}
template<typename T>
T cross(pair<T, T> a, pair<T, T> b){
return a.F * b.S - a.S * b.F;
}
template<typename T>
vector<pair<T, T>> getConvexHull(vector<pair<T, T>>& pnts){
sort(pnts.begin(), pnts.end());
vector<pair<T, T>> hull;
for(int i = 0; i < 2; i++){
int t = hull.size();
for(pair<T, T> pnt : pnts){
while(hull.size() - t >= 2 && cross(hull.back() - hull[hull.size() - 2], pnt - hull[hull.size() - 2]) <= 0)
hull.pop_back();
hull.pb(pnt);
}
hull.pop_back();
reverse(pnts.begin(), pnts.end());
}
return hull;
}
ld dis(pii x, pii s, pii e){
pii v1 = pii(x.F - s.F, x.S - s.S);
pii v2 = pii(e.F - s.F, e.S - s.S);
ld c1 = abs(v1.F * v2.S - v1.S * v2.F);
// ld c2 = v2.F * v2.F + v2.S * v2.S;
return c1 ;
}
void solve(){
int n;
cin >> n;
vector<pii> pnts(n);
map<pii, int> cnt;
for(auto &it : pnts){
cin >> it.F >> it.S;
cnt[it] += 1;
}
vector<pii> hull = getConvexHull(pnts);
n = hull.size();
ld ans = 0;
if(n == 3){
ans = dis(hull[0], hull[1], hull[2]);
ld mi = 1e9;
for(auto it : pnts){
if((it == hull[0] && cnt[it] == 1) || (it == hull[1] && cnt[it] == 1) || (it == hull[2] && cnt[it] == 1))
continue;
for(int i = 0;i < 3;i ++){
for(int j = i+1;j < 3;j ++){
mi = min(mi, dis(it, hull[i], hull[j]));
}
}
}
ans -= mi;
if(ans % 2){
cout << ans/2 << ".5\n";
} else {
cout << ans/2 << "\n";
}
return ;
}
for(int i = 0;i < n;i ++){
for(int j = i + 2;j < n;j ++){
ld lens = 0;
{
ld dx = hull[i].F - hull[j].F;
ld dy = hull[i].S - hull[j].S;
lens = sqrt(dx * dx + dy * dy);
}
ld h1 = 0;
{
int l = i, r = j;
while(r - l > 1){
int m1 = (l + r) / 2;
int m2 = (r + m1) / 2;
if(dis(hull[m2], hull[i], hull[j]) > dis(hull[m1], hull[i], hull[j])){
r = m2;
h1 = max(h1, dis(hull[m2], hull[i], hull[j]));
} else {
h1 = max(h1, dis(hull[m1], hull[i], hull[j]));
l = m1;
}
}
}
ld h2 = 0;
{
int l = j, r = n + i;
while(r - l > 1){
int m1 = (l + r) / 2;
int m2 = (r + m1) / 2;
if(dis(hull[m2%n], hull[i], hull[j]) > dis(hull[m1%n], hull[i], hull[j])){
r = m2;
h2 = max(h2, dis(hull[m2%n], hull[i], hull[j]));
} else {
h2 = max(h2, dis(hull[m1%n], hull[i], hull[j]));
l = m1;
}
}
}
ans = max(ans, h1 + h2 );
}
}
if(ans % 2){
cout << ans/2 << ".5" << "\n";
} else {
cout << ans/2 << "\n";
}
}
int main(){
cin.tie(0)->sync_with_stdio(0);
int t = 1;
cin >> t;
while(t --){
solve();
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3796kb
input:
3 5 0 0 1 0 3 1 1 2 0 1 4 0 0 4 0 0 4 1 1 4 0 0 1 1 2 2 1 1
output:
3 6 0
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
1 4 0 0 1 0 0 1 3 2
output:
2.5
result:
ok single line: '2.5'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
3 4 0 0 0 0 0 0 0 0 5 0 0 1 0 3 1 1 2 0 1 4 0 0 4 0 0 4 1 1
output:
0 3 6
result:
ok 3 lines
Test #4:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
3 4 0 0 1 1 2 2 1 1 5 0 0 3 3 1 1 4 4 2 2 6 0 0 0 4 4 0 0 0 1 1 1 2
output:
0 0 8
result:
ok 3 lines
Test #5:
score: -100
Wrong Answer
time: 6ms
memory: 3912kb
input:
3 6 0 0 8 8 7 9 6 9 5 8 0 99 29 999891293 708205 369022896 771 993004062 999827531 929592437 29458 994968624 999539287 569046020 1943 2200 986643253 11189 5792636 712825 999917190 2482686 272282 43058 665660 10373878 31825 508452623 112 3304 269412577 43817590 3789 999996618 957802194 999902626 9749...
output:
388 2135040922 2146828020
result:
wrong answer 2nd lines differ - expected: '996775018731291724.5', found: '2135040922'