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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
#535747#3139. Largest QuadrilateralThirvinWA 2ms3944kbC++173.8kb2024-08-28 14:12:362024-08-28 14:12:37

Judging History

This is the latest submission verdict.

  • [2024-08-28 14:12:37]
  • Judged
  • Verdict: WA
  • Time: 2ms
  • Memory: 3944kb
  • [2024-08-28 14:12:36]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;
using ld = long long;

using ll = long long;
using pii = pair<ld, ld> ;
#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();
	}
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3560kb

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: 3708kb

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: 3788kb

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: 3588kb

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: 2ms
memory: 3944kb

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
995147671211600464.5
944404336681674295.5

result:

wrong answer 2nd lines differ - expected: '996775018731291724.5', found: '995147671211600464.5'