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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#683836#9520. Concave HullTggdbAC ✓117ms15520kbC++204.7kb2024-10-28 00:21:142024-10-30 01:34:08

Judging History

你现在查看的是最新测评结果

  • [2024-10-30 01:34:08]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:117ms
  • 内存:15520kb
  • [2024-10-30 01:29:57]
  • hack成功,自动添加数据
  • (/hack/1083)
  • [2024-10-28 00:21:14]
  • 评测
  • 测评结果:100
  • 用时:111ms
  • 内存:15572kb
  • [2024-10-28 00:21:14]
  • 提交

answer

#include<bits/stdc++.h>
#define double long long
#define int long long
using namespace std;
constexpr int inf=8e18;
template <typename T>
inline void read(T& x)
{
    T f = 1;
    x = 0;
    char ch = getchar();
    while (0 == isdigit(ch))
    {
        if (ch == '-')
            f = -1;
        ch = getchar();
    }
    while (0 != isdigit(ch))
        x = (x << 1) + (x << 3) + ch - '0', ch = getchar();
    x *= f;
}

template <typename T>
inline void write(T x)
{
    if (x < 0)
    {
        x = ~(x - 1);
        putchar('-');
    }
    if (x > 9)
        write(x / 10);
    putchar(x % 10 + '0');
}
int absuse(int lop)
{
    if(lop<0)
        lop = -lop;
    return lop;
}
class Point
{
public:
    int x, y;
    Point(double x = 0, double y = 0) :x(x), y(y) {}
    Point operator + (Point a)
    {
        return Point(x + a.x, y + a.y);
    }
    Point operator - (Point a)
    {
        return Point(x - a.x, y - a.y);
    }
    bool operator < (const Point& a) const
    {
        if (x == a.x) return y < a.y;
        return x < a.x;
    }
};

typedef vector<Point> Polygom;
typedef Point Vector;

int cross(Vector a, Vector b)
{
    return a.x * b.y - a.y * b.x;
}

bool isclock(Point p0, Point p1, Point p2)
{
    Vector a = p1 - p0;
    Vector b = p2 - p0;
    if (cross(a, b) < 0) return true;
    return false;
}

int getArea(Polygom a)
{
    int ans = 0;
    for (int i = 1; i < a.size() - 1; i++)
    {
        Vector x1 = a[i] - a[0];
        Vector x2 = a[i + 1] - a[0];
        ans += absuse(cross(x1, x2));
    }
    return ans;
}

Polygom andrewScan(Polygom s)
{
    Polygom u, l;
    if (s.size() < 3) return s;
    sort(s.begin(), s.end());
    u.push_back(s[0]);
    u.push_back(s[1]);
    l.push_back(s[s.size() - 1]);
    l.push_back(s[s.size() - 2]);

    for (int i = 2; i < s.size(); i++)
    {
        for (int n = u.size(); n >= 2 && isclock(u[n - 2], u[n - 1], s[i]) != true; n--)
            u.pop_back();
        u.push_back(s[i]);
    }

    for (int i = s.size() - 3; i >= 0; i--)
    {
        for (int n = l.size(); n >= 2 && isclock(l[n - 2], l[n - 1], s[i]) != true; n--)
            l.pop_back();
        l.push_back(s[i]);
    }

    for (int i = 1; i < l.size() - 1; i++) u.push_back(l[i]);
    return u;
}
int Area2(Point A, Point B, Point C)
{
    return absuse(A.x * B.y + B.x * C.y + C.x * A.y - A.x * C.y - B.x * A.y - C.x * B.y);
}
void solve(void)
{
    int n;
    Polygom a;
    Polygom op;
    read(n);
    for (int i = 1; i <= n; i++)
    {
        Point q;
        read(q.x);
        read(q.y);
        a.push_back(q);
        op.push_back(q);
    }
    a = andrewScan(a);
    if (a.size() == n)
    {
        cout << "-1" << endl;
    }
    else
    {
        int nowsum = getArea(a);
        map<pair<int, int>, int>mp;
        for (int i = 0; i < a.size(); i++)
        {
            mp[{a[i].x, a[i].y}] = 1;
        }
        a.push_back(a[0]);
        Polygom pp;
        for (int j = 0; j < op.size(); j++)
        {
            if (mp[{op[j].x, op[j].y}] == 0)pp.push_back(op[j]);
        }
        if (pp.size()<3)
        {
            int Min = inf;
            // write(Min);

            for (int i = 0; i < a.size() - 1; i++)
            {
                for (int j = 0; j < pp.size(); j++)
                {
                    Min = min(Area2(a[i], a[i + 1], pp[j]), Min);
                }
            }
            write(nowsum - Min);
            cout << endl;
        }
        else
        {
            pp = andrewScan(pp);
            int now = 0;
            int Min = inf;
            for (int i = 0; i < pp.size(); i++)
            {
                int ppl = Area2(pp[i], a[1], a[0]);
                if (ppl < Min)
                {
                    now = i;
                    Min = ppl;
                }
            }
            int Minall = inf;
            for (int i = 0; i < a.size() - 1; i++)
            {
                int cop = now%pp.size();
                int fonow = Area2(a[i], a[i + 1], pp[now]);
                while (Area2(a[i], a[i + 1], pp[(now + 1) % pp.size()]) <= fonow)
                {
                    if ((now + 1) % pp.size() == cop)break;
                    fonow = Area2(a[i], a[i + 1], pp[(now + 1) % pp.size()]);
                    now=(now+1)%pp.size();
                }
                Minall = min(fonow, Minall);
            }
            //cout << summax << endl;
            write(nowsum - Minall);
            cout << endl;
        }
    }
}
signed main(void)
{
    

    signed t;
    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: 3588kb

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: 3648kb

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: 32ms
memory: 3736kb

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: 44ms
memory: 3628kb

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: 71ms
memory: 4512kb

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: 54ms
memory: 4380kb

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: 26ms
memory: 10608kb

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: 110ms
memory: 15056kb

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: 117ms
memory: 15520kb

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: 3804kb

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