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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
#686540#9520. Concave HullSGColinAC ✓57ms10484kbC++203.1kb2024-10-29 14:08:342024-10-30 01:35:29

Judging History

你现在查看的是最新测评结果

  • [2024-10-30 01:35:29]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:57ms
  • 内存:10484kb
  • [2024-10-30 01:29:57]
  • hack成功,自动添加数据
  • (/hack/1083)
  • [2024-10-29 14:08:35]
  • 评测
  • 测评结果:100
  • 用时:58ms
  • 内存:10416kb
  • [2024-10-29 14:08:34]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef tuple<int, int, int> tii;

inline int rd() {
    int x = 0;
    bool f = 0;
    char c = getchar();
    for (; !isdigit(c); c = getchar()) f |= (c == '-');
    for (; isdigit(c); c = getchar()) x = x * 10 + (c ^ 48);
    return f ? -x : x;
}

#define eb emplace_back
#define all(s) (s).begin(), (s).end()
#define rep(i, a, b) for (int i = (a); i <= (b); ++i)
#define per(i, a, b) for (int i = (a); i >= (b); --i)

typedef long long T;

struct P {
    T x, y;
    P (T x = 0, T y = 0) : x(x), y(y) {}
    P operator + (const P &p) const {return {x + p.x, y + p.y};}
    P operator - (const P &p) const {return {x - p.x, y - p.y};}
    P operator * (const T &d) const {return {x * d, y * d};}

    T operator | (const P &p) const {return x * p.x + y * p.y;}
    T operator ^ (const P &p) const {return x * p.y - y * p.x;}

    bool operator == (const P &p) const {return (x == p.x && y == p.y);}
    bool operator < (const P &p) const {return x == p.x ? y < p.y : x < p.x;}
    int ori(const P &p) const {T t = (*this) ^ p; return (t > 0) - (t < 0);}

} zero;

vector<P> convexHull(vector<P> p) {
    if (p.size() < 3) return p;
    vector<P> st;
    sort(all(p));
    const auto check = [&](const P &u) {
        const auto back1 = st.back(), back2 = *prev(st.end(), 2);
        return (back1 - back2).ori(u - back2) <= 0;
    };
    for (const P &u : p) {
        while (st.size() > 1 && check(u)) st.pop_back();
        st.push_back(u);
    }
    size_t k = st.size();
    p.pop_back(); reverse(all(p));
    for (const P &u : p) {
        while (st.size() > k && check(u)) st.pop_back();
        st.push_back(u);
    }
    st.pop_back();
    return {st};
}

inline void work() {
    int n = rd();
    vector<P> p;
    rep(i, 1, n) {int x = rd(), y = rd(); p.eb(x, y);}
    vector<P> cov1 = convexHull(p);
    if (cov1.size() == p.size()) {puts("-1"); return;}
    ll tot = 0;
    for (int i = 0; i < cov1.size(); ++i)
        tot += (cov1[i] ^ cov1[i == cov1.size() - 1 ? 0 : i + 1]);
    tot = abs(tot);
    vector<P> tmp = cov1;
    sort(all(tmp));
    sort(all(p));
    vector<P> q;
    int ptr = 0;
    for (auto pt : p) {
        if (ptr < tmp.size() && tmp[ptr] == pt) {
            ++ptr; continue;
        }
        q.push_back(pt);
    }
    vector<P> cov2 = convexHull(q);
    ll mn = 9e18;
    ptr = 0;
    P dir = cov1[1] - cov1[0];
    rep(i, 0, cov2.size() - 1) {
        ll nw = abs(dir ^ (cov2[i] - cov1[0]));
        if (nw < mn) {mn = nw; ptr = i;}
    }
    rep(i, 0, cov1.size() - 1) {
        dir = cov1[i == cov1.size() - 1 ? 0 : i + 1] - cov1[i];
        ll nw = abs(dir ^ (cov2[ptr] - cov1[i]));
        while (true) {
            int nxt = (ptr == cov2.size() - 1 ? 0 : ptr + 1);
            ll nxtv = abs(dir ^ (cov2[nxt] - cov1[i]));
            if (nxtv >=  nw) break;
            nw = nxtv;
            ptr = nxt;
        }
        mn = min(mn, nw);
    }
    printf("%lld\n", tot - mn);
}

int main() {
    per(t, rd(), 1) work();
    return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3736kb

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: 4116kb

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: 4148kb

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: 28ms
memory: 3748kb

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: 44ms
memory: 4056kb

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: 30ms
memory: 4172kb

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: 22ms
memory: 6884kb

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: 57ms
memory: 10484kb

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: 54ms
memory: 9784kb

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: 3732kb

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