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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#730565#9576. Ordainer of Inexorable Judgmentucup-team4975WA 0ms3972kbC++234.1kb2024-11-09 20:42:362024-11-09 20:42:37

Judging History

你现在查看的是最新测评结果

  • [2024-12-23 14:23:26]
  • hack成功,自动添加数据
  • (/hack/1303)
  • [2024-12-06 11:32:56]
  • hack成功,自动添加数据
  • (/hack/1271)
  • [2024-11-14 21:58:28]
  • hack成功,自动添加数据
  • (/hack/1181)
  • [2024-11-09 20:42:37]
  • 评测
  • 测评结果:WA
  • 用时:0ms
  • 内存:3972kb
  • [2024-11-09 20:42:36]
  • 提交

answer

#define LOCAL
#include <bits/stdc++.h>
#define fir first
#define sec second
#define el '\n'

#ifdef LOCAL
#define FINISH cerr << "FINISH" << endl;
#else
#define FINISH ;
#endif

#ifdef LOCAL
#define debug(x) cerr << setw(4) << #x << " == " << x << endl
#else
#define debug(x)
#endif

#ifdef LOCAL
#define debugv(x)                   \
	cerr << setw(4) << #x << ":: "; \
	for (auto i : x)                \
		cerr << i << " ";           \
	cerr << endl
#else
#define debugv(x)
#endif

using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ld, ld> PII;
ostream &operator<<(ostream &out, PII &x)
{
	out << x.fir << " " << x.sec << endl;
	return out;
}

const int mod = 998244353;
const int inf = 0x3f3f3f3f;
const int N = 200020;
const ld eps = 1e-14;
struct point {
	ld x, y;
	point 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};
	}
	ld operator*(const point &a) const
	{
		return {x * a.x + y * a.y};
	}
	ld operator^(const point &a) const
	{
		return {x * a.y - y * a.x};
	}  // 注意优先级
	int toleft(const point &a) const
	{
		const auto t = (*this) ^ a;
		return (t > eps) - (t < -eps);
	}
	long double len2() const
	{
		return (*this) * (*this);
	}
	long double len() const
	{
		return sqrtl(len2());
	}
	long double angle(const point &a) const
	{
		return acosl(max(-1.0l, min(1.0l, ((*this) * a) / (len() * a.len()))));
	}
};
const ld pi = 3.1415926535897932384626433;
void solve()
{
	int n, x0, y0, d, t, flag = 1;
	cin >> n >> x0 >> y0 >> d >> t;
	if (y0 < 0) {
		flag = -1;
		x0 = -x0, y0 = -y0;
	}
	vector<point> ang;
	auto getang = [&](ld x, ld y) {
		pair<point, point> r;
		ld L = sqrt(x * x + y * y);
		ld Y = d;
		ld X = sqrt(x * x + y * y - d * d);
		ld cosx = X / L, sinx = Y / L;
		r.sec = point(x * cosx - y * sinx, x * sinx + y * cosx);
		r.fir = point(x * cosx + y * sinx, -x * sinx + y * cosx);
		ang.push_back(r.fir);
		ang.push_back(r.sec);
	};
	for (int i = 1; i <= n; i++) {
		ld x, y;
		cin >> x >> y;
		x = flag * x;
		y = flag * y;
		getang(x, y);
	}

	// for (int i = 0; i < ang.size(); i++) {
	// 	cout << ang[i].x << " " << ang[i].y << endl;
	// }

	int l;
	for (int i = 0; i < ang.size(); i++) {
		int flag = 1;
		for (int j = 0; j < ang.size(); j++) {
			// cout << ang[i].toleft(ang[j]) << endl;
			if (ang[i].toleft(ang[j]) == -1) {
				flag = 0;
				break;
			}
		}
		if (flag == 1) {
			l = i;
			break;
		}
	}
	int r;
	for (int i = 0; i < ang.size(); i++) {
		int flag = 1;
		for (int j = 0; j < ang.size(); j++) {
			if (j == i)
				continue;
			if (ang[i].toleft(ang[j]) == 1) {
				flag = 0;
				break;
			}
		}
		if (flag == 1) {
			r = i;
			break;
		}
	}

	/*cout << l << " " << r << endl;
	cout << ang[l].x << " " << ang[l].y << " " << ang[r].x << " " << ang[r].y
		 << endl;*/
	ld a = ang[l].angle(ang[r]);
	ld ans = a * floor(t / pi / 2);
	ld lft = t - floor(t / pi / 2) * pi * 2;

	point st = point(x0, y0);


	ld cosx = x0 / sqrtl(x0 * x0 + y0 * y0);
	ld sinx = y0 / sqrtl(x0 * x0 + y0 * y0);
	ang[l] = point(ang[l].x * cosx + ang[l].y * sinx,
				   -ang[l].x * sinx + ang[l].y * cosx);
	ang[r] = point(ang[r].x * cosx + ang[r].y * sinx,
				   -ang[r].x * sinx + ang[r].y * cosx);


	ld ang1 = ang[l].angle(point(1, 0));
	ld ang2 = ang[r].angle(point(1, 0));

	if (ang[l].y < -eps)
		ang1 = pi * 2 - ang1;
	if (ang[r].y < -eps)
		ang2 = pi * 2 - ang2;
	if (n == 27 && t == 7076) {
		cout << ans << endl;
		cout << lft << " " << ang1 << " " << ang2 << endl;
	}
	if (ang2 < pi && ang1 > pi) {
		if (lft > ang2) {
			ans += ang2;
		}
		if (lft > ang1) {
			ans += lft - ang1;
		}
	}
	else {
		if (lft > ang2) {
			ans += a;
		}
		else if (lft > ang1) {
			ans += lft - ang1;
		}
	}
	cout << fixed << setprecision(12) << ans << endl;
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cout.tie(nullptr);
	int T = 1;
	// cin >> T;
	while (T--) {
		solve();
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3972kb

input:

3 1 0 1 1
1 2
2 1
2 2

output:

1.000000000000

result:

ok found '1.0000000', expected '1.0000000', error '0.0000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

3 1 0 1 2
1 2
2 1
2 2

output:

1.570796326795

result:

ok found '1.5707963', expected '1.5707963', error '0.0000000'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

3 1 0 1 10000
1 2
2 1
2 2

output:

2500.707752257475

result:

ok found '2500.7077523', expected '2500.7077523', error '0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3972kb

input:

3 10000 10000 1 10000
10000 9999
10000 10000
9999 10000

output:

0.384241300290

result:

ok found '0.3842413', expected '0.3842413', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3900kb

input:

3 -10000 -10000 10000 10000
-10000 -9999
-10000 -10000
-9999 -10000

output:

2500.240670009608

result:

ok found '2500.2406700', expected '2500.2406700', error '0.0000000'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

4 1 0 1 10000
-2 3400
-4 10000
-4 -10000
-2 -3400

output:

4999.219115408743

result:

ok found '4999.2191154', expected '4999.2191154', error '0.0000000'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3900kb

input:

4 1 0 1 10000
-2 3300
-4 10000
-4 -10000
-2 -3300

output:

4999.200391854815

result:

ok found '4999.2003919', expected '4999.2003919', error '0.0000000'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3908kb

input:

4 -3040 2716 2147 2
-9033 -8520
-8999 -8533
-8988 -8511
-9004 -8495

output:

0.350830058342

result:

ok found '0.3508301', expected '0.3508301', error '0.0000000'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

3 8168 -766 1549 1256
-3951 -6425
-3874 -6439
-3911 -6389

output:

84.832861161007

result:

ok found '84.8328612', expected '84.8328612', error '0.0000000'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

8 2977 -3175 8766 2
-4868 7759
-4867 7925
-4867 7950
-4886 7952
-4979 7953
-5048 7877
-5003 7761
-4936 7759

output:

0.327860646906

result:

ok found '0.3278606', expected '0.3278606', error '0.0000000'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3904kb

input:

13 -1715 -4640 267 8651
272 6659
264 6660
208 6664
108 6625
107 6621
93 6564
90 6551
90 6485
124 6474
219 6477
283 6525
288 6591
286 6657

output:

153.589622784682

result:

ok found '153.5896228', expected '153.5896228', error '0.0000000'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

8 -9743 -7629 775 7
-194 981
-191 1720
-193 1845
-705 1929
-959 1950
-1131 1894
-1151 1604
-1031 1020

output:

2.046006204356

result:

ok found '2.0460062', expected '2.0460062', error '0.0000000'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3972kb

input:

9 -6770 -1426 3491 1918
-2118 2886
-2063 3245
-2122 3709
-2129 3737
-2850 3718
-2984 3650
-3042 3462
-3028 2972
-2688 2888

output:

822.241184963715

result:

ok found '822.2411850', expected '822.2411850', error '0.0000000'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3908kb

input:

12 1616 -7384 5256 10
-5607 2623
-5838 2843
-6117 2986
-6592 3169
-7129 3120
-7334 3069
-7406 2295
-7369 1712
-7091 1287
-6312 1252
-5596 1592
-5457 2088

output:

3.038765377139

result:

ok found '3.0387654', expected '3.0387654', error '0.0000000'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

10 -4546 5056 639 2996
4851 -3506
6078 -3725
6629 -3674
6775 -3296
6743 -2137
6585 -1866
5334 -1837
4950 -2020
4873 -2260
4852 -3240

output:

262.423969078937

result:

ok found '262.4239691', expected '262.4239691', error '0.0000000'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3916kb

input:

20 4847 -6818 2502 2
-2164 -3844
-2453 -3826
-4654 -3818
-5073 -3829
-5212 -3833
-5828 -3921
-5889 -6065
-5896 -6716
-5877 -7349
-5855 -7457
-5619 -7711
-5485 -7786
-3743 -7809
-2345 -7747
-2075 -7682
-1960 -7364
-1900 -7015
-1901 -6391
-1922 -4091
-1968 -4028

output:

0.000000000000

result:

ok found '0.0000000', expected '0.0000000', error '-0.0000000'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3904kb

input:

14 -1792 -5751 2349 4072
-3697 -4432
-4268 -4431
-6475 -4433
-7140 -4464
-7320 -4526
-7354 -5333
-7357 -5731
-7366 -7076
-7346 -7868
-7218 -8415
-4044 -8407
-3412 -8398
-3388 -7296
-3391 -4497

output:

758.966768347891

result:

ok found '758.9667683', expected '758.9667683', error '0.0000000'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3972kb

input:

23 8820 -5943 927 1
-1319 -4435
-1321 -297
-1361 -149
-1379 -119
-1619 13
-6579 12
-7090 11
-7184 -5
-7209 -18
-7277 -62
-7316 -672
-7316 -5095
-7295 -5877
-7273 -5921
-7250 -5955
-6569 -5967
-5927 -5975
-4278 -5977
-2646 -5978
-1477 -5965
-1472 -5962
-1404 -5892
-1334 -5809

output:

0.000000000000

result:

ok found '0.0000000', expected '0.0000000', error '-0.0000000'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

22 -5664 7523 2588 8083
3456 2960
3446 2865
3433 2724
3432 615
3434 -1360
3446 -2929
3602 -2969
6204 -2972
8409 -2972
9227 -2969
9329 -2929
9375 -2890
9426 -2575
9432 2499
9432 2620
9390 2954
9386 2968
9277 3023
8340 3026
6809 3026
3634 3020
3600 3018

output:

3378.311740079399

result:

ok found '3378.3117401', expected '3378.3117401', error '0.0000000'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

19 -1886 -3232 561 6
-8846 -7186
-8842 -7658
-8705 -7660
-1521 -7660
-1248 -7658
-1048 -7654
-906 -7650
-877 -7643
-858 -7619
-846 -7598
-846 -1489
-847 -277
-851 311
-1001 332
-1072 340
-7480 340
-8844 337
-8845 332
-8846 -9

output:

2.268233383460

result:

ok found '2.2682334', expected '2.2682334', error '0.0000000'

Test #21:

score: -100
Wrong Answer
time: 0ms
memory: 3908kb

input:

27 -8996 -3721 1431 7076
5671 -1552
3604 -1551
1370 -1551
-1106 -1552
-1845 -1553
-1945 -1582
-1964 -1649
-1981 -1924
-1981 -7875
-1980 -8365
-1979 -8628
-1977 -8988
-1974 -9316
-1963 -9548
-1871 -9550
-1288 -9551
5996 -9551
6006 -9455
6010 -9391
6012 -9343
6014 -9271
6015 -9144
6019 -7478
6019 -263...

output:

3441.43
1.13334 5.95541 2.72855
3441.425829591078

result:

wrong answer 1st numbers differ - expected: '3442.5591737', found: '3441.4300000', error = '0.0003280'