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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#137583#2350. Integer Cowdzy521WA 1236ms3740kbC++234.4kb2023-08-10 14:01:102023-08-10 14:07:55

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.
  • [2023-08-10 14:07:55]
  • 评测
  • 测评结果:WA
  • 用时:1236ms
  • 内存:3740kb
  • [2023-08-10 14:01:10]
  • 提交

answer

#define _CRT_SEstartE_NO_DEPRECATE
#pragma warning(disable : 4996)
#include <map>
#include <unordered_map>
#include <set>
#include <fstream>
#include <queue>
#include <deque>
#include <stack>
#include <vector>
#include <string>
#include <iostream>
#include <algorithm>
#include <iterator>
#include <bitset>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <cstdio>
#include <bits/stdc++.h>
#define ACcode ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
typedef long long ll;
typedef unsigned long long ull;
const ll maxn = 1e6 + 7;
const ll maxm = 7e6 + 7;
constexpr ll mod = 998244353;
const ll inf = 0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3f;
const int Prime = 100007;
const double eps = 1e-10;
const double pi = acos(-1.0);
using namespace std;

using point_t = long long;
template <typename T>
struct point
{
    T x, y;
    point() {}
    point(T _x, T _y) { x = _x, y = _y; }
    point operator+(const point &b) const { return {x + b.x, y + b.y}; }
    point operator-(const point &b) const { return {x - b.x, y - b.y}; }
    point operator/(const T &k) const { return {x / k, y / k}; }
    point operator*(const T &k) const { return {x * k, y * k}; }
    T operator*(const point &b) const { return (x * b.x + y * b.y); }
    T operator^(const point &b) const { return x * b.y - y * b.x; }
    // 浮点数运算
    T len2() const { return (*this) * (*this); }
    T dis2(const point &a) const { return (a - (*this)).len2(); }
    long double len() const { return sqrtl(len2()); }
    long double dis(const point &a) const { return sqrtl(dis2(a)); }
};
using Point = point<point_t>;
template <typename T>
struct line
{
    point<T> p, v; // 直线上一点和方向向量
    line() {}
    line(T k, T b) { p = {0, b}, v = {1, k}; }
    line(point<T> _p, point<T> _v) { p = _p, v = _v; }
    point<T> proj(const point<T> &a) const // 点在直线上的投影
    {
        return p + v * ((v * (a - p)) / (v * v));
    }
    long double dis(const point<T> &a) const // 点到直线距离
    {
        return abs(v ^ (a - p)) / v.len();
    }
};
using Line = line<point_t>;
struct Circle
{
    Point c;
    long double r;
    // 点与圆的关系
    // -1 圆上 | 0 圆外 | 1 圆内
    int is_in(const Point &p) const
    {
        const long double d = p.dis(c);
        return abs(d - r) <= eps ? -1 : d < r - eps;
    }
    // 直线与圆关系
    // 0 相离 | 1 相切 | 2 相交
    int relation(const Line &l) const
    {
        const long double d = l.dis(c);
        if (d > r + eps)
            return 0;
        if (abs(d - r) <= eps)
            return 1;
        return 2;
    }
    // 直线与圆的交点
    vector<Point> inter(const Line &l) const
    {
        const long double d = l.dis(c);
        const Point p = l.proj(c);
        const int t = relation(l);
        if (t == 0)
            return vector<Point>();
        if (t == 1)
            return vector<Point>{p};
        const long double k = sqrt(r * r - d * d);
        return vector<Point>{p - (l.v / l.v.len()) * k, p + (l.v / l.v.len()) * k};
    }
};

void solve()
{
    cout << fixed << setprecision(0);
    Point pc;
    Circle cir;
    cin >> cir.c.x >> cir.c.y >> cir.r >> pc.x >> pc.y;
    if (cir.is_in(pc) != 0)
    {
        cout << 0 << '\n';
        cout << pc.x << " " << pc.y << '\n';
        return;
    }
    Line l1(pc, {pc.x - cir.c.x, pc.y - cir.c.y});
    vector<Point> temp = cir.inter(l1);
    Point cro;
    if (pc.dis2(temp[0]) < pc.dis2(temp[1]))
        cro = temp[0];
    else
        cro = temp[1];
    Point ans;
    ll ansdis = 4e18;
    for (ll x = cro.x - 1200; x <= cro.x + 1200; x++)
    {
        for (ll y = cro.y - 1200; y <= cro.y + 1200; y++)
        {
            Point now(x, y);
            if (cir.is_in(now) != 0)
            {
                ll nowdis = pc.dis2(now);
                if (nowdis < ansdis)
                {
                    ans = now;
                    ansdis = nowdis;
                }
            }
        }
    }
    cout << 1 << '\n';
    cout << pc.x << " " << pc.y << " " << ans.x << " " << ans.y << '\n';
}

signed main()
{
    ACcode;
    // freopen("house.in", "r", stdin);
    // freopen("house.out", "w", stdout);
    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: 22ms
memory: 3620kb

input:

3
1 2 1 1 2
3 2 5 -10 3
0 0 1 10 0

output:

0
1 2
1
-10 3 -2 2
1
10 0 1 0

result:

ok correct (3 test cases)

Test #2:

score: 0
Accepted
time: 1ms
memory: 3708kb

input:

1
0 0 1 0 0

output:

0
0 0

result:

ok correct (1 test case)

Test #3:

score: 0
Accepted
time: 933ms
memory: 3672kb

input:

100
-1 0 2 -3 -2
0 -2 2 -2 0
2 -1 1 0 1
-1 -3 1 -1 0
-1 2 2 -1 -1
2 -2 2 0 -3
-2 -3 2 -3 -2
0 1 2 2 1
-1 0 1 -2 -2
2 -2 2 -1 -2
1 2 2 -2 2
-1 2 1 -1 2
-2 1 2 -3 -2
-1 1 1 -1 1
2 2 1 1 -3
2 0 1 -2 -1
-1 2 1 -2 0
2 -2 2 -2 -1
-2 -2 1 1 -2
-1 1 2 2 1
2 -3 1 0 -1
-3 -3 2 2 -1
2 1 1 -1 1
-3 -2 1 -2 -3
0 ...

output:

1
-3 -2 -2 -1
1
-2 0 -1 -1
1
0 1 1 -1
1
-1 0 -1 -2
1
-1 -1 -1 0
1
0 -3 0 -2
0
-3 -2
0
2 1
1
-2 -2 -1 -1
1
-1 -2 0 -2
1
-2 2 -1 2
0
-1 2
1
-3 -2 -2 -1
0
-1 1
1
1 -3 2 1
1
-2 -1 1 0
1
-2 0 -1 1
1
-2 -1 0 -2
1
1 -2 -1 -2
1
2 1 1 1
1
0 -1 1 -3
1
2 -1 -1 -3
1
-1 1 1 1
1
-2 -3 -3 -3
0
-2 -2
0
-2 -2
0
1 -1...

result:

ok correct (100 test cases)

Test #4:

score: 0
Accepted
time: 1101ms
memory: 3660kb

input:

100
-5 9 1 -2 -7
3 1 6 9 2
-2 -1 2 -7 3
-10 -8 7 -8 6
0 3 9 -6 -7
6 4 9 -1 4
8 6 7 -7 7
3 -7 7 2 0
-5 -1 6 -7 -7
-5 8 7 -9 -6
-6 -5 5 -10 -9
-7 1 9 7 -2
-4 9 4 8 3
3 -9 6 2 -2
-1 -7 3 -8 2
-2 -5 4 -1 0
1 2 9 -5 5
0 9 5 -4 -1
-10 8 2 -3 -7
-8 -3 3 2 -3
3 3 7 -4 6
6 0 6 -3 5
-7 5 9 9 9
2 0 2 8 -10
2 1...

output:

1
-2 -7 -5 8
1
9 2 8 2
1
-7 3 -4 -1
1
-8 6 -10 -1
1
-6 -7 -4 -5
0
-1 4
1
-7 7 1 6
1
2 0 2 -1
1
-7 -7 -7 -6
1
-9 -6 -8 2
1
-10 -9 -10 -8
1
7 -2 2 1
1
8 3 -1 7
1
2 -2 3 -3
1
-8 2 -3 -5
1
-1 0 -2 -1
0
-5 5
1
-4 -1 -3 5
1
-3 -7 -10 6
1
2 -3 -5 -3
1
-4 6 -3 6
1
-3 5 1 3
1
9 9 1 9
1
8 -10 2 -2
1
7 -1 5 1
...

result:

ok correct (100 test cases)

Test #5:

score: 0
Accepted
time: 974ms
memory: 3600kb

input:

100
-52 -13 72 44 58
79 -58 32 60 11
-50 21 75 95 65
-37 -61 21 -74 -40
0 -88 14 11 -49
10 -80 46 79 -17
75 -94 90 61 -34
-80 19 85 -7 -20
-72 42 56 67 -89
21 51 39 20 88
82 32 56 88 -82
3 51 31 -45 -53
50 12 91 9 46
-45 29 25 76 27
-19 -14 81 22 97
5 93 35 98 64
54 90 88 -100 63
-60 -18 81 -20 8
34...

output:

1
44 58 7 28
1
60 11 68 -28
1
95 65 22 42
1
-74 -40 -54 -49
1
11 -49 5 -75
1
79 -17 43 -48
0
61 -34
0
-7 -20
1
67 -89 -30 5
0
20 88
1
88 -82 82 -24
1
-45 -53 -10 23
0
9 46
1
76 27 -20 29
1
22 97 9 62
1
98 64 39 85
1
-100 63 -33 77
0
-20 8
1
62 16 46 51
1
-46 66 -79 -27
1
62 -91 -11 -54
1
-55 -54 73 ...

result:

ok correct (100 test cases)

Test #6:

score: 0
Accepted
time: 1043ms
memory: 3652kb

input:

100
-14 48 115 -133 160
80 40 30 181 139
114 -109 102 -111 -14
-51 175 113 40 -116
-44 -171 69 6 -128
18 -23 159 94 170
-150 71 199 -167 -181
82 173 50 -138 41
-27 -126 119 195 134
-129 16 169 -103 51
183 136 117 -196 54
25 61 27 166 12
-156 63 199 -8 -56
-143 138 31 -137 125
48 16 44 -83 37
150 -16...

output:

1
-133 160 -99 125
1
181 139 102 60
1
-111 -14 19 -72
1
40 -116 -18 67
0
6 -128
1
94 170 76 125
1
-167 -181 -167 -127
1
-138 41 40 146
1
195 134 53 -38
0
-103 51
1
-196 54 69 110
1
166 12 50 51
0
-8 -56
0
-137 125
1
-83 37 5 25
1
-71 -195 9 -183
1
-77 -188 -51 120
1
-88 135 -100 -179
0
170 90
1
-25 ...

result:

ok correct (100 test cases)

Test #7:

score: 0
Accepted
time: 1075ms
memory: 3700kb

input:

100
30 194 241 273 -11
476 -181 37 -18 -139
-162 496 295 113 250
-413 467 26 -100 312
-322 -120 423 -86 222
464 231 266 -421 497
249 -467 327 -183 -486
-316 486 468 -295 -286
92 141 487 -146 -13
108 -300 14 318 17
229 -180 49 -247 -464
-385 326 56 -493 62
-365 349 114 -258 293
44 -443 26 -139 -313
6...

output:

1
273 -11 217 42
1
-18 -139 439 -181
1
113 250 60 302
1
-100 312 -389 457
0
-86 222
1
-421 497 208 303
1
-183 -486 -77 -486
1
-295 -286 -316 18
0
-146 -13
1
318 17 115 -288
1
-247 -464 187 -205
1
-493 62 -408 275
1
-258 293 -264 297
1
-139 -313 23 -428
1
-458 -334 55 71
1
210 -353 304 215
0
-118 -26...

result:

ok correct (100 test cases)

Test #8:

score: 0
Accepted
time: 973ms
memory: 3596kb

input:

100
411 -186 278 885 -994
-930 792 129 -912 -596
879 -250 54 312 -682
-712 -577 304 -473 409
109 -353 664 -141 -316
117 691 571 -217 166
-596 974 792 -326 630
-15 497 654 -575 -991
-714 -567 262 847 -440
182 29 60 -584 -920
-68 -858 810 -351 -901
-429 -633 975 -244 814
881 -213 818 -870 425
173 639 ...

output:

1
885 -994 546 -429
1
-912 -596 -930 663
1
312 -682 838 -285
1
-473 409 -643 -281
0
-141 -316
1
-217 166 -189 209
0
-326 630
1
-575 -991 -248 -114
1
847 -440 -453 -545
1
-584 -920 146 -19
0
-351 -901
1
-244 814 -305 334
1
-870 425 111 63
0
-124 917
1
-109 987 80 -268
1
-421 899 421 376
1
153 -591 68...

result:

ok correct (100 test cases)

Test #9:

score: 0
Accepted
time: 1223ms
memory: 3740kb

input:

100
190 562 152 560 564
-732 968 55 -887 965
-370 982 376 324 982
-263 -163 232 381 -165
-95 -654 238 258 -652
379 -43 668 -521 -36
884 782 580 267 786
-7 907 494 -802 908
970 -214 135 356 -209
410 40 139 173 42
-908 -832 24 -539 -835
806 -288 25 680 -296
-906 166 22 -873 165
-628 459 200 -122 454
-...

output:

1
560 564 342 562
1
-887 965 -787 968
1
324 982 6 982
1
381 -165 -31 -163
1
258 -652 143 -654
1
-521 -36 -289 -43
1
267 786 304 782
1
-802 908 -501 907
1
356 -209 835 -214
1
173 42 271 40
1
-539 -835 -884 -832
1
680 -296 781 -288
1
-873 165 -884 166
1
-122 454 -428 459
1
-717 -627 -764 -634
1
373 28...

result:

ok correct (100 test cases)

Test #10:

score: 0
Accepted
time: 1236ms
memory: 3608kb

input:

100
885 -747 696 892 13
536 -416 299 532 74
639 295 250 636 20
532 406 91 524 208
-148 -392 337 -141 41
371 411 327 366 800
761 -461 50 758 -532
-712 -644 527 -720 -94
-724 -693 385 -731 -201
967 153 254 958 -328
-615 -291 390 -612 -950
-260 915 41 -258 136
-971 779 24 -974 -172
118 -106 509 109 -80...

output:

1
892 13 885 -51
1
532 74 536 -117
1
636 20 639 45
1
524 208 532 315
1
-141 41 -148 -55
1
366 800 371 738
1
758 -532 761 -511
1
-720 -94 -720 -118
1
-731 -201 -724 -308
1
958 -328 967 -101
1
-612 -950 -615 -681
1
-258 136 -260 874
1
-974 -172 -971 755
1
109 -805 118 -615
1
844 819 851 859
1
-230 629...

result:

ok correct (100 test cases)

Test #11:

score: -100
Wrong Answer
time: 1101ms
memory: 3600kb

input:

100
-870 761 1681 -508 -1766
1437 -353 988 -96 558
-823 1649 579 285 -1783
1482 -257 84 -1412 894
1076 -1999 662 -1646 -548
-1596 779 108 1010 -1803
-1139 1322 1656 1833 -1498
-1950 -1093 1605 1813 1793
212 -107 1488 -1888 -1678
-1489 434 1415 -317 -1851
108 -1460 1947 457 1813
1762 -1366 1524 135 6...

output:

1
-508 -1766 -508 -439
1
-96 558 585 147
1
285 -1783 -655 1095
1
-1412 894 1404 -226
1
-1646 -548 489 -1693
1
1010 -1803 -1513 710
1
1833 -1498 61 181
1
1813 1793 -752 -25
1
-1888 -1678 -981 -996
1
-317 -1851 -740 -766
1
457 1813 457 -260
1
135 600 794 -189
1
906 15 -1171 -210
1
795 1521 795 -765
1
...

result:

wrong answer the distance of your solution has travelled is longer than expected. (test case 1)