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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#714077#9520. Concave HullprovenAC ✓68ms13192kbC++203.0kb2024-11-05 21:35:092024-11-05 21:35:10

Judging History

你现在查看的是最新测评结果

  • [2024-11-05 21:35:10]
  • 评测
  • 测评结果:AC
  • 用时:68ms
  • 内存:13192kb
  • [2024-11-05 21:35:09]
  • 提交

answer

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

#define endl '\n'
#define int long long

struct P {
    int x, y, id;
    bool operator < (const P &b) const {
        return x != b.x ? x < b.x : y < b.y;
    }
};

int cross(P x, P y) {
    return x.x * y.y - x.y * y.x;
}

P operator - (P x, P y) {
    P c{};
    c.x = x.x - y.x;
    c.y = x.y - y.y;
    return c;
}

int calc(P x, P y, P z) {
    P xy = y - x;
    P xz = z - x;
    return abs(cross(xy, xz));
}

bool check(P p, P q, P r) {
    return cross(q - p, r - q) < 0;
}

vector<P> chull(vector<P> ps) {
    sort(ps.begin(), ps.end());
    vector<int> I{0}, used(ps.size());
    for (int i = 1; i < ps.size(); i++) {
        while (I.size() > 1 && !check(ps[I[I.size() - 2]], ps[I.back()], ps[i]))
            used[I.back()] = 0, I.pop_back();
        used[i] = 1, I.push_back(i);
    }
    for (int i = ps.size() - 2; i >= 0; i--) {
        if (used[i])
            continue;
        while (I.size() > 1 && !check(ps[I[I.size() - 2]], ps[I.back()], ps[i]))
            I.pop_back();
        I.push_back(i);
    }
    vector<P> H;
    for (int i = 0; i < I.size() - 1; i++)
        H.push_back(ps[I[i]]);
    return H;
}

int area(vector<P> &ps) {
    int sum = 0;
    for(int i = 0;i < ps.size();i++) {
        int nxt = (i + 1) % (int)ps.size();
        sum += cross(ps[i], ps[nxt]);
    }
    return abs(sum);
}

void solve() {
    int n; cin >> n;
    vector<P> pt(n);
    for(int i = 0;i < n;i++) cin >> pt[i].x >> pt[i].y, pt[i].id = i;
    vector<int> vis(n);
    auto out = chull(pt);
    auto get = [&] (P tmp) {
        int mn = 5e18;
        for(int i = 0;i < out.size();i++) {
            int nxt = (i + 1) % (int)out.size();
            mn = min(mn, calc(tmp, out[i], out[nxt]));
        }
        return mn;
    };
    for(auto [x, y, id] : out) vis[id] = 1;
    vector<P> ptin;
    int ans = area(out);
    for(int i = 0;i < n;i++) if(!vis[i]) ptin.push_back(pt[i]);
    if(ptin.size() < 3) {
        if(ptin.empty()) {
            cout << -1 << endl;
        }
        else {
            int mn = 5e18;
            for(auto it : ptin) {
                mn = min(mn, get(it));
            }
            cout << ans - mn << endl;
        }
        return;
    }
    auto in = chull(ptin);
    int i = 0, j = 0, mn = 5e18;
    int osiz = (int)out.size(), isiz = (int)in.size();
    for(int jj = 0;jj < in.size();jj++) {
        int tmp = calc(out[0], out[1], in[jj]);
        if(tmp < mn) {
            mn = tmp;
            j = jj;
        }
    }
    for(i = 1;i < out.size();i++) {
        while(calc(in[(j + 1) % isiz], out[i], out[(i + 1) % osiz]) < calc(in[j], out[i], out[(i + 1) % osiz])) j = (j + 1) % isiz;
        mn = min(mn, calc(in[j], out[i], out[(i + 1) % osiz]));
    }
    cout << ans - mn << endl;
}
//sto SpadeZ orz
signed main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int T = 1;
    cin >> T;
    while(T--) {
        solve();
    }
    return 0;
}

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: 3512kb

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: 3672kb

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: 25ms
memory: 3816kb

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: 37ms
memory: 3644kb

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: 56ms
memory: 4360kb

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: 38ms
memory: 4336kb

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: 27ms
memory: 9232kb

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: 68ms
memory: 13192kb

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: 51ms
memory: 12568kb

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: 0ms
memory: 3664kb

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