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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#690048#9520. Concave Hullfrankly6AC ✓67ms14752kbC++173.4kb2024-10-30 19:59:252024-10-30 19:59:34

Judging History

你现在查看的是最新测评结果

  • [2024-10-30 19:59:34]
  • 评测
  • 测评结果:AC
  • 用时:67ms
  • 内存:14752kb
  • [2024-10-30 19:59:25]
  • 提交

answer

#include<iostream>
#include<queue>
#include<algorithm>
#include<cmath>
#define int long long
using namespace std;
typedef long double ld;
typedef long long ll;
const int MX=200020;
const int inf=1e18;

int T, N, top, cnt, t2;
int read()
{
    int r=0, f=1; char ch=getchar();
    while(ch<'0'||ch>'9') {if(ch=='-') f=-1; ch=getchar();}
    while(ch>='0'&&ch<='9') {r=r*10+ch-'0'; ch=getchar();}
    return r*f;
}
struct point
{
    ll x, y;
    bool operator == (const point &a) const {return (x==a.x&&y==a.y);}
    point operator - (const point &a) const{return {x-a.x,y-a.y};}
    ll operator ^ (const point &a) const{return x*a.y-y*a.x;}
}p[MX], stac[MX], np[MX], ns[MX];
int qua(point p)
{
    if(p.x>=0&&p.y<0) return 1;
    if(p.x>0&&p.y>=0) return 2;
    if(p.x<=0&&p.y>0) return 3;
    if(p.x<0&&p.y<=0) return 4;
    return 5;
}
bool cmp(point a, point b)
{
    if(qua(a-p[1])!=qua(b-p[1])) return qua(a-p[1])<qua(b-p[1]);
    else return ((a-p[1])^(b-p[1]))>0;
}
bool cmp2(point a, point b)
{
    if(qua(a-np[1])!=qua(b-np[1])) return qua(a-np[1])<qua(b-np[1]);
    else return ((a-np[1])^(b-np[1]))>0;
}
ld dis(point a, point b){return sqrt(1.0*(a.x-b.x)*(a.x-b.x)+1.0*(a.y-b.y)*(a.y-b.y));}
ld getd(point a, point b, point c)
{                                 
    ld d1=dis(a,b), d2=dis(b,c), d3=dis(a,c);
    ld p=(d1+d2+d3)/2;
    return sqrt(p*(p-d1)*(p-d2)*(p-d3))*2/d1;
}
int nxt(int x){return x==t2?1:x+1;}
signed main()
{
    // freopen("testdata.in","r",stdin);
    T=read();
    while(T--)
    {
        N=read();
        int id=1;
        for(int i=1;i<=N;i++)
        {
            scanf("%lld%lld",&p[i].x,&p[i].y);
            if(p[i].x<p[id].x||(p[i].x==p[id].x&&p[i].y<p[id].y)) id=i;
        }
        swap(p[1],p[id]);
        sort(p+2,p+1+N,cmp);
        top=0;
        stac[++top]=p[1];
        for(int i=2;i<=N;i++)
        {
            while(top>=2&&((stac[top]-stac[top-1])^(p[i]-stac[top]))<=0) top--;
            stac[++top]=p[i];
        }
        stac[++top]=p[1];
        ll ans=0, now=0; 
        for(int i=1;i<top;i++)
        {
            now+=(stac[i].x*stac[i+1].y-stac[i+1].x*stac[i].y);
        }
        cnt=0;
        for(int i=1,j=1;i<=N;i++) 
        {
            if(p[i]==stac[j]) j++;
            else np[++cnt]=p[i];
        }
        // cout << "top=" << top << ", cnt=" << cnt << '\n';
        if(!cnt) {cout << "-1\n"; continue;}
        id=1;
        for(int i=1;i<=cnt;i++)
            if(np[i].x<np[id].x||(np[i].x==np[id].x&&np[i].y<np[id].y)) id=i;
        swap(np[1],np[id]);
        sort(np+2,np+1+cnt,cmp2);
        t2=0;
        ns[++t2]=np[1];
        for(int i=2;i<=cnt;i++)
        {
            while(t2>=2&&((ns[t2]-ns[t2-1])^(np[i]-ns[t2]))<=0) t2--;
            ns[++t2]=np[i];
        }
        ns[++t2]=np[1];
        int tmp=inf;
        for(int i=1;i<t2;i++)
            if(getd(stac[1],stac[2],ns[i])<tmp) tmp=getd(stac[1],stac[2],ns[i]), id=i;
        for(int i=1;i<top;i++)
        {
            while(getd(stac[i],stac[i+1],ns[id])>getd(stac[i],stac[i+1],ns[nxt(id)])) 
                id=nxt(id); 
            ll d1=stac[i].x*stac[i+1].y-stac[i+1].x*stac[i].y;
            ll d2=stac[i].x*ns[id].y-ns[id].x*stac[i].y;
            ll d3=ns[id].x*stac[i+1].y-stac[i+1].x*ns[id].y;
            ans=max(ans,abs(now-d1+d2+d3));
        }
        if(ans==0) cout << "-1\n";
        else cout << ans << '\n';
    }
    return (0-0);
}

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: 9840kb

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: 9848kb

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: 9932kb

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: 32ms
memory: 9880kb

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: 9904kb

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: 39ms
memory: 9916kb

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: 29ms
memory: 14280kb

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: 67ms
memory: 14564kb

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: 60ms
memory: 14752kb

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: 9900kb

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