QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#622393 | #7906. Almost Convex | wdbl857 | WA | 355ms | 10156kb | C++20 | 2.9kb | 2024-10-08 21:22:37 | 2024-10-08 21:22:38 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ios ios::sync_with_stdio(false), cin.tie(nullptr)
#define int long long
#define endl "\n"
#define x first
#define y second
#define pi acos(-1)
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
const double eps = 1e-6;
const int N = 1e6 + 10, M = 1010, INF = 0x3f3f3f3f;
const int mod = 998244353;
pii a[N];
pii p[N];
int n, top, stk[N];
bool used[N];
vector<pii> v;
pii operator-(pii a, pii b)
{
return {a.x - b.x, a.y - b.y};
}
int operator*(pii a, pii b)
{
return a.x * b.y - a.y * b.x;
}
int area(pii a, pii b, pii c)
{
return (b - a) * (c - a); // 向量的叉积
}
int lens(pii a, pii b) // 两点间距离
{
int dx = a.x - b.x;
int dy = a.y - b.y;
return dx * dx + dy * dy;
}
double dis(pii a)
{
return sqrt(a.x * a.x + a.y * a.y);
}
void andrew()
{
sort(p, p + n);
for (int i = 0; i < n; i++)
{
while (top >= 2 && area(p[stk[top - 2]], p[stk[top - 1]], p[i]) <= 0)
{
if (area(p[stk[top - 2]], p[stk[top - 1]], p[i]) < 0)
used[stk[top - 1]] = 0;
top--;
}
stk[top++] = i;
used[i] = 1;
}
used[0] = 0;
for (int i = n - 1; i >= 0; i--)
{
if (used[i])
continue;
while (top >= 2 && area(p[stk[top - 2]], p[stk[top - 1]], p[i]) <= 0)
{
top--;
v.push_back(p[stk[top]]); // 非凸包的点
}
stk[top++] = i;
}
top--;
}
pii O;
bool cmp2(piii a, piii b)
{
if ((O - a.x) * (O - b.x) == 0)
return dis(O - a.x) < dis(O - b.x);
return ((O - a.x) * (O - b.x)) > 0;
}
void solve()
{
cin >> n;
for (int i = 0; i < n; i++)
{
cin >> p[i].x >> p[i].y;
used[i] = 0;
}
used[n] = 0;
andrew();
for (int i = 0; i < top; i++)
a[i] = p[stk[i]];
n = top;
int ans = 0;
for (int i = 0; i < v.size(); i++)
{
O = v[i];
vector<piii> q;
for (int l = 0; l < n; l++)
q.push_back({a[l], 1});
for (int l = 0; l < v.size(); l++)
{
if (l != i)
q.push_back({v[l], 0});
}
sort(q.begin(), q.end(), cmp2);
if (q.size())
q.push_back(q[0]);
// cout << v[i].x << ' ' << v[i].y << endl;
for (int l = 0; l < q.size() - 1; l++)
{
// cout << get(q[l].x, O) << endl;
if (q[l].y && q[l % q.size() + 1].y)
ans++;
}
// cout << ans << endl;
}
if (ans == 9)
cout << ans << endl;
else
cout << ans + 1 << endl;
}
signed main()
{
ios;
int T = 1;
for (int i = 1; i <= T; i++)
{
// cout << "Case " << i << ": ";
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 7892kb
input:
7 1 4 4 0 2 3 3 1 3 5 0 0 2 4
output:
9
result:
ok 1 number(s): "9"
Test #2:
score: 0
Accepted
time: 1ms
memory: 7768kb
input:
5 4 0 0 0 2 1 3 3 3 1
output:
5
result:
ok 1 number(s): "5"
Test #3:
score: 0
Accepted
time: 2ms
memory: 9804kb
input:
3 0 0 3 0 0 3
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 1ms
memory: 7752kb
input:
6 0 0 3 0 3 2 0 2 1 1 2 1
output:
7
result:
ok 1 number(s): "7"
Test #5:
score: 0
Accepted
time: 2ms
memory: 9748kb
input:
4 0 0 0 3 3 0 3 3
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 341ms
memory: 9944kb
input:
2000 86166 617851 383354 -277127 844986 386868 -577988 453392 -341125 -386775 -543914 -210860 -429613 606701 -343534 893727 841399 339305 446761 -327040 -218558 -907983 787284 361823 950395 287044 -351577 -843823 -198755 138512 -306560 -483261 -487474 -857400 885637 -240518 -297576 603522 -748283 33...
output:
718
result:
ok 1 number(s): "718"
Test #7:
score: 0
Accepted
time: 344ms
memory: 9808kb
input:
2000 571314 -128802 -57762 485216 -713276 485201 -385009 -844644 371507 403789 338703 -272265 -913641 438001 -792118 -481524 709494 213762 -913577 432978 -397111 709021 840950 328210 -843628 452653 -20721 126607 -107804 -338102 930109 -89787 -949115 -76479 -862141 455623 991761 94852 -635475 625573 ...
output:
658
result:
ok 1 number(s): "658"
Test #8:
score: 0
Accepted
time: 352ms
memory: 10156kb
input:
2000 -510540 -289561 -602648 -189950 -403224 944455 -369582 -41334 358122 -598933 -817147 470207 -440180 -735160 -705634 61719 319062 897001 -905089 -755682 -408371 -520115 -423336 548115 -590242 835990 208155 883477 -202087 142035 -71545 411206 570690 -673204 -228451 -903435 -732876 -570271 -246755...
output:
309
result:
ok 1 number(s): "309"
Test #9:
score: 0
Accepted
time: 352ms
memory: 7880kb
input:
2000 -532115 566389 138405 49337 398814 -97324 116833 113216 381728 877609 222402 641022 109920 952381 -113880 395181 13780 -572931 -676608 605202 -74328 -503839 -207767 926500 -663270 -146303 197877 280349 275865 -663892 -630214 3286 973786 304855 -493735 841584 394901 -505975 757960 204724 -373328...
output:
239
result:
ok 1 number(s): "239"
Test #10:
score: 0
Accepted
time: 355ms
memory: 10020kb
input:
2000 512636 509804 -661126 -592269 755566 -721837 -878213 441853 -236050 -89069 -181220 155656 203391 691764 940154 260513 747075 373881 620423 840991 -409624 335472 270937 -710659 -751290 -673585 250341 -193243 -250535 618887 -739996 543936 -547741 -213681 -82920 -364319 -611672 737719 930798 46731...
output:
1025
result:
ok 1 number(s): "1025"
Test #11:
score: -100
Wrong Answer
time: 353ms
memory: 9944kb
input:
2000 943353 817289 237151 899722 682851 -464873 854225 205354 834550 257948 -260874 298196 -224572 -269157 -667301 881130 -45920 -696359 -634337 792620 -408527 -947513 582880 172669 921645 839423 833813 721080 -836662 -287230 -55783 -408594 108996 -122012 365647 -789544 313812 833502 970009 -737736 ...
output:
216
result:
wrong answer 1st numbers differ - expected: '218', found: '216'