QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#100399#5588. Eroding PillarsPetroTarnavskyiAC ✓153ms11804kbC++171.4kb2023-04-25 20:17:142023-04-25 20:17:16

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-04-25 20:17:16]
  • 评测
  • 测评结果:AC
  • 用时:153ms
  • 内存:11804kb
  • [2023-04-25 20:17:14]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define SZ(a) (int)a.size()
#define ALL(a) a.begin(), a.end()
#define FOR(i, a, b) for (int i = (a); i<(b); ++i)
#define RFOR(i, b, a) for (int i = (b)-1; i>=(a); --i)
#define MP make_pair
#define PB push_back
#define F first
#define S second

typedef long long LL;
typedef pair<int, int> PII;
typedef vector<int> VI;

const int MAX = 1 << 10;

int n;
int x[MAX], y[MAX];
LL d[MAX][MAX];
int timer;
int tin[MAX], fup[MAX];
bool used[MAX];
bool ok;

void dfs(int v, int p, LL m) {
	used[v] = true;
	tin[v] = fup[v] = timer++;
	FOR(i, 0, n) {
		if (d[v][i] <= m && i != p) {
			if (used[i]) {
				fup[v] = min(fup[v], tin[i]);
			}
			else {
				dfs(i, v, m);
				fup[v] = min(fup[v], fup[i]);
				if (v != 0 && fup[i] >= tin[v]) {
					ok = false;
				}
			}
		}
	}
}

int main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);
	cin >> n;
	n++;
	FOR(i, 1, n) {
		cin >> x[i] >> y[i];
	}
	FOR(i, 0, n) {
		FOR(j, 0, n) {
			d[i][j] = (LL)(x[j] - x[i]) * (x[j] - x[i]) + (LL)(y[j] - y[i]) * (y[j] - y[i]);
		}
	}
	LL l = 0, r = 2.1e18;
	while (r - l > 1) {
		LL m = (l + r) / 2;
		FOR(i, 0, n) {
			used[i] = false;
		}
		timer = 0;
		ok = true;
		dfs(0, -1, m);
		FOR(i, 0, n) {
			ok &= used[i];
		}
		if (ok) {
			r = m;
		}
		else {
			l = m;
		}
	}
	cout << fixed << setprecision(10) << sqrt(r) << "\n";
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3724kb

input:

2
1 1
1 0

output:

1.4142135624

result:

ok found '1.4142136', expected '1.4142136', error '0.0000000'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

8
1 1
0 1
1 0
2 0
0 2
2 1
1 2
2 2

output:

1.0000000000

result:

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

Test #3:

score: 0
Accepted
time: 2ms
memory: 3560kb

input:

1
1000000000 -1000000000

output:

1414213562.3730950356

result:

ok found '1414213562.3730950', expected '1414213562.3730950', error '0.0000000'

Test #4:

score: 0
Accepted
time: 77ms
memory: 11752kb

input:

1000
-197140284 703496508
105426106 -447628446
-321789030 -547969163
-275840107 -183856400
977079157 55081681
562400795 -99876434
-833457368 849631307
427777786 981882
-477648368 423363280
-986742316 -207582454
546089414 986224147
648775399 760817052
-111756907 833096696
-702954343 -487408110
-20831...

output:

129014631.0649484694

result:

ok found '129014631.0649485', expected '129014631.0649485', error '0.0000000'

Test #5:

score: 0
Accepted
time: 119ms
memory: 11700kb

input:

999
-37 59
90 99
-78 -74
84 82
-33 22
-5 14
-37 -35
6 -97
-35 -91
-17 -55
85 -75
-13 9
-87 70
64 74
45 -74
-83 -71
-91 -69
64 -54
-28 37
98 65
28 32
12 83
21 94
-42 -63
-14 22
12 -91
-77 -82
18 -79
97 4
23 25
54 58
56 -39
-82 63
-15 89
-36 96
51 5
-37 54
99 57
5 68
82 -75
30 -71
-82 31
-36 -28
48 98...

output:

12.7279220614

result:

ok found '12.7279221', expected '12.7279221', error '0.0000000'

Test #6:

score: 0
Accepted
time: 124ms
memory: 11804kb

input:

999
23 -84
12 68
-82 94
66 -48
-51 21
-65 -75
-8 83
-23 96
7 -83
-5 30
-46 -39
84 81
-43 45
30 -22
66 -35
-40 1
50 37
-41 -56
18 2
88 -30
-15 -69
89 -16
-94 -40
-73 -63
69 -57
-94 -9
-7 -40
11 -23
-35 74
-82 87
-33 55
-60 37
-15 -68
-1 84
57 -5
-46 57
-30 75
-66 52
-60 49
-81 -56
79 0
14 84
-62 47
2...

output:

12.0415945788

result:

ok found '12.0415946', expected '12.0415946', error '0.0000000'

Test #7:

score: 0
Accepted
time: 78ms
memory: 11676kb

input:

997
689820909 872197007
378062710 -66574440
-176944532 -402500960
-626416632 489298754
-136800206 216455436
-778550826 662442290
791847147 -283748980
205140992 574212402
-942834097 -861224089
835282360 82261161
-580910695 909114837
718944957 -300196729
-345551018 -762335643
-341008263 775846670
8876...

output:

122351709.4959319681

result:

ok found '122351709.4959320', expected '122351709.4959320', error '0.0000000'

Test #8:

score: 0
Accepted
time: 86ms
memory: 11788kb

input:

997
208411906 -972635109
-98072108 457691541
-21432981 100025358
25260912 -117889920
133656678 -623760924
114370818 -533755956
175530188 -819179923
33595291 -156785555
213886197 -998183115
-39015831 182082508
-139507592 651066476
-129054888 602284739
-154761300 722253757
198647581 -927066054
1186318...

output:

17118003.7749864385

result:

ok found '17118003.7749864', expected '17118003.7749864', error '0.0000000'

Test #9:

score: 0
Accepted
time: 153ms
memory: 11680kb

input:

997
1000000000 499352126
945459590 1000000000
-771435961 1000000000
-1000000000 -350227738
-589254335 1000000000
905535137 1000000000
89248404 1000000000
-716290383 1000000000
-1000000000 -131547422
442941577 1000000000
-22966025 1000000000
-907816124 1000000000
178384700 1000000000
-783935630 -1000...

output:

1000001278.9881818295

result:

ok found '1000001278.9881818', expected '1000001278.9881818', error '0.0000000'

Test #10:

score: 0
Accepted
time: 0ms
memory: 5756kb

input:

4
1 1
-1 -1
1 -1
-1 1

output:

1.4142135624

result:

ok found '1.4142136', expected '1.4142136', error '0.0000000'