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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
#691517#9520. Concave HullQingyyxAC ✓33ms11028kbC++206.0kb2024-10-31 11:48:022024-10-31 11:48:02

Judging History

你现在查看的是最新测评结果

  • [2024-10-31 11:48:02]
  • 评测
  • 测评结果:AC
  • 用时:33ms
  • 内存:11028kb
  • [2024-10-31 11:48:02]
  • 提交

answer

#include <bits/stdc++.h>
#define ll long long
#define enl putchar('\n')
#define all(x) (x).begin(),(x).end()
#define debug(x) printf(" "#x":%d\n",x);
using namespace std;
const int MAXN = 1e5 + 5;
const int inf = 0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3f;
const int mod = 998244353;
typedef pair<int, int> pii;
char buf[1 << 21], * p1 = buf, * p2 = buf, obuf[1 << 21], * o = obuf, of[35];
#define gc()(p1==p2&&(p2=(p1=buf)+fread(buf,1,1<<21,stdin),p1==p2)?EOF:*p1++)
inline ll qpow(ll a, ll n) { ll res = 1; while (n) { if (n & 1)res = res * a % mod; n >>= 1; a = a * a % mod; }return res; }
template <class T = int>inline T read() { T s = 0, f = 1; char c = gc(); for (; !isdigit(c); c = gc())if (c == '-')f = -1; for (; isdigit(c); c = gc())s = s * 10 + c - '0'; return s * f; }
inline void read(int* a, int n) { for (int i = 1; i <= n; ++i)a[i] = read(); }
inline int inal(char* s) { int n = 0; for (s[0] = gc(); !isalpha(s[0]); s[0] = gc()); for (; isalpha(s[n]); s[++n] = gc()); return s[n] = 0, n; }
inline int indi(char* s) { int n = 0; for (s[0] = gc(); !isdigit(s[0]); s[0] = gc()); for (; isdigit(s[n]); s[++n] = gc()); return s[n] = 0, n; }
inline void outd(auto* a, int n) { for (int i = 1; i <= n; ++i)printf("%d ", a[i]); enl; }
int n, m, q;
bool inC[MAXN];
int stk[MAXN], top;


struct Point {
    ll x, y;
    Point(ll x = 0, ll y = 0) :x(x), y(y) {}
    Point operator -(const Point& b)const { return Point(x - b.x, y - b.y); }
    Point operator +(const Point& b)const { return Point(x + b.x, y + b.y); }
    Point operator *(ll k)const { return Point(x * k, y * k); }
    ll operator ^(const Point& b)const { return x * b.y - y * b.x; }
    ll operator *(const Point& b)const { return x * b.x + y * b.y; }
    ll operator !()const { return sqrt(*this * *this); }
    bool operator <(const Point& b) const { return y - b.y < 0 || (y - b.y == 0 && x - b.x < 0); }
    bool operator ==(const Point& b)const { return !(*this < b) && !(b < *this); }
    bool operator >(const Point& b)const { return b < *this; }
    bool operator <=(const Point& b)const { return !(*this > b); }
    bool operator >=(const Point& b)const { return !(*this < b); }
    bool operator !=(const Point& b)const { return !(*this == b); }
    Point operator /(ll k)const { return Point(x / k, y / k); }
    ll operator ~()const { return atan2(y, x); }
    Point operator -()const { return Point(-x, -y); }
    ll len2()const { return x * x + y * y; }
    ll len()const { return !*this; }
    ll dis(const Point& b)const { return (*this - b).len(); }
    ll dis2(const Point& b)const { return (*this - b).len2(); }
    Point rotate(ll a)const { return Point(x * cos(a) - y * sin(a), x * sin(a) + y * cos(a)); }
    Point rotate(ll a, const Point& o)const { return Point(x * cos(a) - y * sin(a) + o.x, x * sin(a) + y * cos(a) + o.y); }
    Point unit()const { return *this / len(); }
    ll sqr(const Point& b, const Point& c) {
        return (b - *this) ^ (c - *this);
    }
    ll proj(const Point& b, const Point& c) {
        return (b - *this) * (c - *this);
    }
    void rot90() { swap(x, y); x = -x; }
}a[MAXN];


struct polygon {
    int n;
    vector<Point>pt;
    polygon(int _n = 0) :n(_n) { pt.resize(n); }
    polygon(vector<Point> _pt) :pt(_pt) { n = pt.size(); }
    void unit() {
        Point lp = pt[0];
        for (int i = 1; i < n; ++i)pt[i] = pt[i] - lp;
    }
    Point& operator[](const int& i) { return pt[i % n]; }
    Point& back() { return pt.back(); }
    ll area() {
        ll res = 0;
        for (int i = 0; i < n; ++i)
            res += pt[i] ^ pt[(i + 1) % n];
        return abs(res);
    }
};

polygon Andrew() {
    top = 0;
    memset(inC + 1, 0, sizeof(bool) * n);
    sort(a + 1, a + n + 1, [&](Point a, Point b) { return a.x < b.x || (a.x == b.x && a.y < b.y); });
    for (int i = 1; i <= n; ++i) {
        while (top > 1 && ((a[stk[top]] - a[stk[top - 1]]) ^ (a[i] - a[stk[top]])) < 0)
            inC[stk[top--]] = 0;
        stk[++top] = i;
        inC[i] = 1;
    }
    inC[1] = 0;

    int t = top;
    for (int i = n - 1; i >= 1; --i) {
        if (inC[i]) continue;
        while (top > t && ((a[stk[top]] - a[stk[top - 1]]) ^ (a[i] - a[stk[top]])) < 0)
            inC[stk[top--]] = 0;
        stk[++top] = i;
        inC[i] = 1;
    }
    if (!top) return polygon();
    if (top == 1) return polygon({a[1]});
    static bool vis[MAXN];
    polygon res(top - 1);
    for (int i = 1; i <= top; ++i) {
        vis[stk[i]] = 1;
        res[i - 1] = a[stk[i]];
    }
    for (int i = 1, j = 1; i <= n; ++i) {
        if (vis[i]) continue;
        a[j++] = a[i];
    }
    n -= top - 1;
    for (int i = 1; i <= top; ++i) vis[stk[i]] = 0;
    return res;
}

void solve() {
    n = read();
    for (int i = 1; i <= n; ++i) {
        a[i].x = read(), a[i].y = read();
    }
    polygon A = Andrew();
    polygon B = Andrew();
    if (A.n < 3 || B.n == 0) return cout << "-1\n", void();
    ll sum = A.area(), ans = INF;
    if (B.n < 3) {
        for (auto p : B.pt)
            for (int i = 0; i < A.n; ++i)
                ans = min(ans, abs(p.sqr(A[i], A[i + 1])));
        return cout << sum - ans << '\n', void();
    }
    int p = 0;
    for (int i = 0; i < B.n; ++i)
        if (abs(B[p].sqr(A[0], A[1])) > abs(B[i].sqr(A[0], A[1]))) p = i;
    for (int i = 0; i < A.n; ++i) {
        while (abs(B[p].sqr(A[i], A[i + 1])) > abs(B[p + 1].sqr(A[i], A[i + 1]))) p++;
        ans = min(ans, abs(B[p].sqr(A[i], A[i + 1])));
    }
    cout << sum - ans << '\n';
}


signed main(signed argc, char const* argv[]) {
    clock_t c1 = clock();
#ifdef LOCAL
    freopen("in.in", "r", stdin);
    freopen("out.out", "w", stdout);
#endif
    //=============================================================
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    int TxT = read();
    while (TxT--)
        solve();
    //=============================================================
#ifdef LOCAL
    end :
    cerr << "Time Used:" << clock() - c1 << "ms" << endl;
#endif
    return 0;
}

这程序好像有点Bug,我给组数据试试?

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 8936kb

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: 8312kb

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: 13ms
memory: 9892kb

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: 13ms
memory: 9840kb

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: 28ms
memory: 10072kb

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: 16ms
memory: 9960kb

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: 12ms
memory: 10368kb

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: 32ms
memory: 10208kb

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: 33ms
memory: 11028kb

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: 1ms
memory: 9412kb

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