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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#901328#9520. Concave HullfractalAC ✓48ms7852kbC++173.0kb2025-02-15 20:57:582025-02-15 20:58:00

Judging History

This is the latest submission verdict.

  • [2025-02-15 20:58:00]
  • Judged
  • Verdict: AC
  • Time: 48ms
  • Memory: 7852kb
  • [2025-02-15 20:57:58]
  • Submitted

answer

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

#define F first
#define S second
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()

const int N = 2e5 + 200;

struct pt {
    long long x, y;
    pt(long long x = 0, long long y = 0) : x(x), y(y) {}

    pt operator-(const pt &p) { return pt(x - p.x, y - p.y); }
    long long operator*(const pt &p) { return x * p.y - y * p.x; }

} p[N];

bool operator<(const pt &a, const pt &b) {
    if (a.x == b.x) return a.y < b.y;
    return a.x < b.x;
}

int n;
int del[N];

vector<int> hull() {

    vector<int> lower;
    for (int i = 1; i <= n; ++i) {
        if (del[i]) continue;
        while (sz(lower) > 1 && (p[lower.end()[-1]] - p[lower.end()[-2]]) * (p[i] - p[lower.end()[-2]]) < 0)
            lower.pop_back();
        lower.push_back(i);
    }
    vector<int> upper;
    for (int i = n; i >= 1; --i) {
        if (del[i]) continue;
        while (sz(upper) > 1 && (p[upper.end()[-1]] - p[upper.end()[-2]]) * (p[i] - p[upper.end()[-2]]) < 0)
            upper.pop_back();
        upper.push_back(i);
    }
    lower.pop_back();
    upper.pop_back();
    lower.insert(lower.end(), upper.begin(), upper.end());
    return lower;
}

void solve() {
    cin >> n;
    for (int i = 1; i <= n; ++i) {
        del[i] = 0;
        cin >> p[i].x >> p[i].y;
    }
    sort(p + 1, p + n + 1);
    vector<int> oh = hull();
    if (sz(oh) == n) {
        cout << -1 << '\n';
        return;
    }
    long long total = 0;
    for (int i = 0; i < sz(oh); ++i) {
        total += p[oh[i]] * p[oh[(i + 1) % sz(oh)]];
    }
    // cerr << total << '\n';
    for (int i : oh) {
        del[i] = 1;
    }
    if (n - sz(oh) <= 2) {
        long long ans = 0;
        for (int i = 0; i < sz(oh); ++i) {
            // cerr << "POINT:\n";
            // cerr << p[oh[i]].x << " " << p[oh[i]].y << '\n';
            for (int j = 1; j <= n; ++j) {
                if (del[j] == 0) {
                    // cerr << (p[oh[(i + 1) % sz(oh)]] - p[oh[i]]) * (p[j] - p[oh[i]]) << '\n';
                    ans = max(ans, total - (p[oh[(i + 1) % sz(oh)]] - p[oh[i]]) * (p[j] - p[oh[i]]));
                }
            }
        }
        cout << ans << '\n';
        return;
    }
    auto ok = [](pt a, pt b, pt c) {
      return (b * a > 0 && a * c >= 0);  
    };
    vector<int> ih = hull();
    long long ans = 0;
    // for (int i : ih)
    //     cerr << p[i].x << " " << p[i].y << '\n';
    for (int i = 0, j = 0; i < sz(oh); ++i) {
        pt v = p[oh[(i + 1) % sz(oh)]] - p[oh[i]];
        // cerr << v.x << " " << v.y << '\n';
        while (!ok(v, p[ih[(j+1)%sz(ih)]] - p[ih[j]],  p[ih[(j+2)%sz(ih)]] - p[ih[(j+1)%sz(ih)]])) {
            j = (j+1)%sz(ih);
        }
        ans = max(ans, total - (v * (p[ih[(j+1)%sz(ih)]] - p[oh[i]])));
    }
    cout << ans << '\n';
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    int T = 1;
    cin >> T;
    while (T--) solve();
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 6676kb

input:

2
6
-2 0
1 -2
5 2
0 4
1 2
3 1
4
0 0
1 0
0 1
1 1

output:

40
-1

result:

ok 2 lines

Test #2:

score: 0
Accepted
time: 1ms
memory: 6912kb

input:

10
243
-494423502 -591557038
-493438474 -648991734
-493289308 -656152126
-491185085 -661710614
-489063449 -666925265
-464265894 -709944049
-447472922 -737242534
-415977509 -773788538
-394263365 -797285016
-382728841 -807396819
-373481975 -814685302
-368242265 -818267002
-344482838 -833805545
-279398...

output:

2178418010787347715
1826413114144932145
1651687576234220014
1883871859778998985
2119126281997959892
894016174881844630
2271191316922158910
1998643358049669416
1740474221286618711
1168195646932543192

result:

ok 10 lines

Test #3:

score: 0
Accepted
time: 19ms
memory: 6936kb

input:

1000
125
64661186 -13143076
302828013 -185438065
-418713797 -191594241
430218126 -397441626
354327250 -836704374
149668812 -598584998
311305970 66790541
199720625 -592356787
468137 -584752683
258775829 96211747
-358669612 -134890109
-129221188 -998432368
-277309896 -140056561
356901185 420557649
-51...

output:

1986320445246155278
1900093336073022078
1612088392301142476
2012259136539173407
1819942017252118749
1772230185841892196
1164835025329039520
1527446155241140517
1807368432185303666
1236918659444944569
1306839249967484778
1984123720246784099
1868728080720036006
667458140583450322
2127932992585026491
4...

result:

ok 1000 lines

Test #4:

score: 0
Accepted
time: 31ms
memory: 6984kb

input:

10000
9
484630042 51929469
-40468396 -517784096
98214104 -103353239
629244333 -475172587
106398764 153884485
49211709 -44865749
1 10
166321833 -247717657
406208245 668933360
13
548702216 -631976459
37150086 -292461024
707804811 -486185860
239775286 -903166050
10096571 -541890068
686103484 558731937
...

output:

950319193795831919
1661025342421008544
1285164852091455548
1159924751776806668
1206071151805176722
794021230296144371
699991678992587791
1133990718508584290
1486311831172661605
984875884297072200
1327767982175057345
758247019006396699
1355381234262206155
1139262078529131471
1613462877860621700
12392...

result:

ok 10000 lines

Test #5:

score: 0
Accepted
time: 41ms
memory: 6856kb

input:

100
439
471536154 -312612104
155692036 -937312180
-461624056 -357636609
236656684 -911414873
-288656914 -74788431
-465779694 -381475149
-334197401 -903065737
491513067 -447615916
337664889 -852236281
-281689379 -53519178
-159101704 -920779200
-326159514 -95396204
21868593 -994282736
488425383 -41046...

output:

1973162724053130487
2054612790507830954
1726805687754843724
1699420177872986528
2129388571309147631
2198295137903288810
1697185883164440272
1219697450095721478
2027023581922285255
1674691247127206655
1673105966817209954
2179188692918747442
2146544318743443141
2230356305133660648
1676850321902993764
...

result:

ok 100 lines

Test #6:

score: 0
Accepted
time: 32ms
memory: 6788kb

input:

100
1362
-467257672 -466669
-467054869 -478108
-466973270 -481776
-466556983 -499770
-466329414 -508693
-466248017 -511805
-466158865 -513786
-466101273 -515035
-465927700 -518748
-465717624 -522106
-465303448 -528127
-465124548 -530726
-464649746 -536693
-464554872 -537799
-464478196 -538680
-46416...

output:

1666097696993497
1791366071767866
1806187278469532
1683419854733713
1685891971828916
1730190225081651
1787048201197565
1850308098208660
1710694884375502
1826363113637639
1816375352374659
2047431269497691
1549806516003854
1829438662895747
1678707854135065
1687423392883819
2121960009997761
16687219538...

result:

ok 100 lines

Test #7:

score: 0
Accepted
time: 20ms
memory: 7276kb

input:

2
62666
-486101704 -505730259
-486101698 -506082699
-486101689 -506111362
-486101682 -506126031
-486101528 -506293759
-486101259 -506556385
-486101196 -506613483
-486101154 -506648604
-486100935 -506831392
-486100631 -507083675
-486100470 -507199151
-486100233 -507368923
-486100193 -507397039
-48609...

output:

2178736946152219010
1825181940245096152

result:

ok 2 lines

Test #8:

score: 0
Accepted
time: 44ms
memory: 7464kb

input:

2
100000
301945097 76373292
467957663 -286424714
8245445 -597212507
-474204621 -708828667
184159460 105942538
443435905 -429212625
490658771 -382198656
82512047 -612522436
-228221388 -965890088
394789011 -145801151
-106120174 -528202395
428939626 -194437311
497429477 -527407728
365739746 -114818962
...

output:

2502889432701099511
2267250485735988121

result:

ok 2 lines

Test #9:

score: 0
Accepted
time: 48ms
memory: 7852kb

input:

2
100000
221128057 -975244780
-618765360 -785575858
422567455 -906331476
-988680318 -150037424
-929870145 367887908
-757813541 -652471177
291995621 -956419655
-785381507 619012026
468864522 -883270094
-588416522 808557973
859345881 511394814
988105866 153775152
216931298 -976186873
467050734 8842305...

output:

6283183114882825575
6283183188903854361

result:

ok 2 lines

Test #10:

score: 0
Accepted
time: 2ms
memory: 6780kb

input:

7
5
-1000000000 -1000000000
1000000000 -1000000000
1000000000 1000000000
1 0
-1 0
5
1000000000 1000000000
-1000000000 -1000000000
-2 0
-1 0
1 -1
6
1000000000 1000000000
-1000000000 -1000000000
-3 0
-1 0
0 -1
1 -1
4
-1000000000 -1000000000
1000000000 -1000000000
1000000000 1000000000
-1000000000 1000...

output:

4000000000000000000
7000000000
9000000001
-1
6000000002000000000
7999999998000000000
-1

result:

ok 7 lines

Extra Test:

score: 0
Extra Test Passed