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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#688242#9520. Concave HullstavageTL 56ms9984kbC++202.6kb2024-10-30 01:27:242024-10-30 01:36:27

Judging History

你现在查看的是最新测评结果

  • [2024-10-30 01:36:27]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:TL
  • 用时:56ms
  • 内存:9984kb
  • [2024-10-30 01:29:57]
  • hack成功,自动添加数据
  • (/hack/1083)
  • [2024-10-30 01:27:25]
  • 评测
  • 测评结果:100
  • 用时:57ms
  • 内存:9956kb
  • [2024-10-30 01:27:24]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
template<typename T>
struct Point {
  T x, y;
  bool operator<(Point p) const
  {
      if (x != p.x) return x < p.x;
      return y < p.y;
  }
  Point operator+(Point p) const { return {x + p.x, y + p.y}; }
  Point operator-(Point p) const { return {x - p.x, y - p.y}; }
  bool operator==(Point p) const { return x == p.x && y == p.y; }
  T det(Point rhs) { return x * rhs.y - y * rhs.x; }
};
using P = Point<ll>;
vector<P> GrahamScan(vector<P> &p)
{
    sort(p.begin(), p.end());
    int n = p.size(), m = 0;
    vector<P> res(n + 1);

    for (int i = 0; i < n; i++) {
        while (m > 1 && !((res[m - 1] - res[m - 2]).det(p[i] - res[m - 2]) > 0)) m--;
        res[m++] = p[i];
    }
    int kk = m;
    for (int i = n - 2; i >= 0; i--) {
        while (m > kk && !((res[m - 1] - res[m - 2]).det(p[i] - res[m - 2]) > 0)) m--;
        res[m++] = p[i];
    }

    if (n > 1) m--;
    res.erase(res.begin() + m, res.end());
    vector<P> tmp1 = res;
    sort(tmp1.begin(), tmp1.end());

    int j = 0;
    vector<P> tmp;
    for (int i = 0; i < n && j < tmp1.size(); i++) {
        if (p[i] == tmp1[j]) j++;
        else tmp.push_back(p[i]);
    }
    p = tmp;
    return res;
}
ll PolyArea2(vector<P> &p)
{
    int n = p.size();
    ll s = 0;
    for (int i = 1; i < n - 1; i++) {
        s += (p[i] - p[0]).det(p[i + 1] - p[0]);
    }
    return s;
}
void solve()
{
    int n;
    cin >> n;
    vector<P> a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i].x >> a[i].y;
    }
    vector<P> border = GrahamScan(a);
    vector<P> core = GrahamScan(a);
    if (core.size() == 0) {
        cout << -1 << "\n";
        return;
    }
    ll s = PolyArea2(border);
    int m1 = border.size(), m2 = core.size();
    int st = 0;
    ll mins = s;
    for (int i = 0; i < m2; i++) {
        ll tmps = (border[m1 - 1] - core[i]).det(border[0] - core[i]);
        if (mins > tmps) {
            mins = tmps;
            st = i;
        }
    }
    ll res = s - mins;
    int nex = (st + 1) % m2;
    for (int i = 0; i < m1 - 1; i++) {
        mins = (border[i] - core[st]).det(border[i + 1] - core[st]);
        while (nex != st) {
            ll tmp = (border[i] - core[nex]).det(border[i + 1] - core[nex]);
            if (mins >= tmp) mins = tmp, st = nex, nex = (nex + 1) % m2;
            else break;
        }
        res = max(res, s - mins);
    }
    cout << res << "\n";
}
int main()
{
    cin.tie(nullptr)->ios::sync_with_stdio(false);
    int t;
    cin >> t;
    while (t--) solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3612kb

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: 3812kb

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: 24ms
memory: 3636kb

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: 34ms
memory: 3624kb

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: 54ms
memory: 3856kb

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: 42ms
memory: 3908kb

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: 6904kb

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: 56ms
memory: 9984kb

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: 55ms
memory: 8964kb

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: 3652kb

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: -3
Extra Test Failed : Time Limit Exceeded on 2

input:

1
7
-12 -7
10 -3
-15 -12
-12 -15
-2 12
-10 -9
8 3

output:


result: