QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#125244#6734. Click the CirclejeroenodbAC ✓424ms3784kbC++175.1kb2023-07-16 09:06:032023-07-16 09:06:07

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.
  • [2023-07-16 09:06:07]
  • 评测
  • 测评结果:AC
  • 用时:424ms
  • 内存:3784kb
  • [2023-07-16 09:06:03]
  • 提交

answer

#include "bits/stdc++.h"
using namespace std;
#define all(x) begin(x),end(x)
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; }
#define debug(a) cerr << "(" << #a << ": " << a << ")\n";
typedef long double ld;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pi;
const int mxN = 1e5+1, oo = 1e9;
typedef complex<ld> pt;
#define X real()
#define Y imag()
auto cross(pt u, pt v) {return (ld)u.X*v.Y-(ld)u.Y*v.X;}
auto sgn(ld a) {return a==0?0:(a>0?1:-1);}
auto ccw(pt p1, pt p2, pt p3) {auto u = p2-p1, v = p3-p2;return cross(u,v);}
auto in(pt p1, pt p2) {return (ld)p1.X*p2.X+(ld)p1.Y*p2.Y;}
auto norm(pt p) {return (ld)p.X*p.X+(ld)p.Y*p.Y;}
bool comp(const pt& a, const pt& b) { return a.X<b.X or (a.X==b.X and a.Y < b.Y);}
void read(pt& p) {
    int a,b; cin >> a >> b;
    p = {a,b};
}
struct circle {
    pt from, to;
    ld l,r;
    auto small(ld a, ld b) const {
        a=max(a,l);
        b=min(b,r);
        assert(a<=b);
        if(l==r) {
            return circle{from,from,a,b};
        }
        auto v = to-from;
        return circle{from+v*((a-l)/(r-l)), from+v*((b-l)/(r-l)),a,b};
        
    }
    pt get(ld t) {
        return from+ (to-from)*t;
    }
    void flip() {
        l=-l,r=-r;
        swap(l,r);
        swap(from,to);
    }
};
ld R,d;
bool intersect(ld a, ld b, ld c, ld d) {
    a= max(a,c);
    b = min(b,d);
    return a<=b;
}

bool segseg(pt p, pt q, pt a, pt b) { // strict segment segment intersection
    return sgn(ccw(p,q,a))*sgn(ccw(p,q,b))==-1 and sgn(ccw(a,b,p))*sgn(ccw(a,b,q))==-1;
}
bool segdist(pt l, pt r, pt a, pt b) {
    if(segseg(a,b,l,r)) return 1;
    for(int rep=0;rep<2;++rep) {
        for(auto p : {l,r}) {
            auto cur = min(norm(p-a),norm(p-b));
            if(cur<=R*R*(1 + 1e-16L)) return true;
            pt v = b-a, w = p-a;
            if(abs(v.X)+abs(v.Y)>=1e-15) {
                if(in(v,w)>0 and in(v,w)<in(v,v)) {
                    if( R*R*(1 + 1e-16L)*norm(v) >= cross(v,w)*cross(v,w)) return true;
                }
            }
        }
        swap(l,a);
        swap(r,b);
    }
    return false;
}
bool checkCL(circle c, circle l) {
    if( intersect(c.l-d,c.l,l.l,l.r) ) {
        if(segdist(c.from,c.from,l.from,l.to)) return true;
    }
    if(intersect(c.l,c.r,l.l,l.r)) {
        auto myc = c.small(l.l,l.r);
        if(segdist(myc.from,myc.to,l.from,l.to)) return true;
    }
    if(intersect(c.r,c.r+d,l.l,l.r)) {
        if(segdist(c.to,c.to,l.from,l.to)) return true;
    }

    return false;
}
bool checkLL(circle c, circle l) {
    if( intersect(l.l,l.r, c.l,c.r) ) {
        if(segdist(c.from,c.to,l.from,l.to)) return true;
    }

    return false;
}
bool checkCC(circle c, circle o) {
    for(int _=0;_<2;++_) {
        for(int rep=0;rep<2;++rep) {
            if(intersect(c.l-d,c.l, o.l-d,o.l) ) {
                if(segdist(c.from,c.from,o.from,o.from)) return true;
            }
            if(intersect(c.l-d,c.l,o.l,o.r)) {
                auto myo = o.small(c.l-d,c.l);
                if(segdist(c.from,c.from,myo.from,myo.to)) return true;
            }
            if(intersect(c.l-d,c.l,o.r,o.r+d)) {
                if(segdist(c.from,c.from,o.to,o.to)) return true;
            }

            c.flip(),o.flip();
        }

        swap(c,o);
    }

    if(intersect(c.l,c.r,o.l,o.r)) {
        auto myc = c.small(o.l,o.r);
        auto myo = o.small(c.l,c.r);
        double lo = 0, hi = 1;
        auto f = [&](double t) {
            return norm(myc.get(t)-myo.get(t));
        };
        for(int iter=0;iter<60;++iter) {
            auto m1 = (lo*2+hi)/3, m2 = (lo+hi*2)/3;
            auto tmp = f(m1);
            if(R*R*(1 + 1e-16L)>=tmp) return true;
            if(f(m1)<f(m2)) hi = m2;
            else lo = m1;
        }
    }
    return false;
}
int main() {
    vector<circle> cs;
    vector<circle> ls;
    int n;
    cin >> n >> R >> d;
    R*=2;
    for(int i=0;i<n;++i) {
        int tp; cin >> tp;
        if(tp==1) {
            pt p; read(p);
            ld t; cin >> t;
            cs.push_back(circle{p,p,t,t});
        } else {
            pt from,to;
            read(from), read(to);
            ld u,v; cin >> u >> v;
            cs.push_back(circle{from,to,u,v});
            ls.push_back(circle{from,to,u-d,v+d});
        }
    }

    int ans=0;
    for(auto c : cs) {
        for(auto l : ls) {
            ans+=checkCL(c,l);
        }
    }
    for(int i=0;i<cs.size();++i) {
        for(int j=0;j<i;++j) {
            ans+=checkCC(cs[i],cs[j]);
        }
    }
    for(int i=0;i<ls.size();++i) {
        for(int j=0;j<i;++j) {
            ans+=checkLL(ls[i],ls[j]);
        }
    }
    cout << ans << '\n';
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3560kb

input:

2 1 1
1 1 1 2
1 2 2 3

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3520kb

input:

2 1 1
1 1 1 2
1 3 2 3

output:

0

result:

ok 1 number(s): "0"

Test #3:

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

input:

2 1 1
1 3 3 2
2 5 5 5 1 2 4

output:

3

result:

ok 1 number(s): "3"

Test #4:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

2 1 1
2 1 1 1 5 2 4
2 5 5 5 1 2 4

output:

2

result:

ok 1 number(s): "2"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

2 1 1
2 10 1 10 20 2 4
2 1 10 20 10 2 4

output:

6

result:

ok 1 number(s): "6"

Test #6:

score: 0
Accepted
time: 88ms
memory: 3660kb

input:

1000 8 4
1 8323 2820 943
1 8246 2850 944
1 8177 2880 941
1 8154 2866 944
2 8325 8146 2865 2846 943 944
1 8349 2891 939
2 8176 8344 2888 2692 940 945
1 8191 2732 945
1 8144 2668 945
2 8182 8191 2889 2844 939 940
1 8173 2687 941
1 8241 2870 945
2 8266 8344 2910 2667 942 943
1 8169 2863 939
1 8349 2921...

output:

22721

result:

ok 1 number(s): "22721"

Test #7:

score: 0
Accepted
time: 90ms
memory: 3720kb

input:

1000 35 8
2 1037 1102 9971 9940 531 534
1 301 9951 548
1 944 9962 529
1 592 9968 537
1 262 9949 531
1 312 9971 553
1 1139 9938 550
2 325 747 9967 9970 539 544
1 810 9941 536
2 906 486 9956 9953 550 552
1 1121 9940 543
2 515 1199 9965 9953 548 552
2 537 926 9972 9949 538 547
1 1356 9967 550
1 332 996...

output:

34559

result:

ok 1 number(s): "34559"

Test #8:

score: 0
Accepted
time: 104ms
memory: 3660kb

input:

1000 472 14
1 3783 7912 938
1 3307 7801 773
1 4605 7852 592
1 2999 7886 644
1 5308 7914 865
1 4978 7842 611
2 3205 5292 7915 7915 724 835
1 6173 7919 846
2 3130 4833 7921 7853 893 906
1 3449 7854 938
2 4951 3238 7824 7897 720 874
2 4842 5378 7906 7913 683 853
2 4991 4467 7906 7830 580 779
2 5782 615...

output:

103238

result:

ok 1 number(s): "103238"

Test #9:

score: 0
Accepted
time: 132ms
memory: 3700kb

input:

1000 4 51
2 6933 7307 7777 7798 450 456
2 6444 6705 7787 7794 447 460
1 7192 7784 464
2 7865 6422 7791 7797 451 460
1 7366 7794 461
2 7364 6214 7785 7782 449 454
2 7378 7099 7801 7798 450 461
2 7961 6794 7784 7788 448 449
2 6510 7007 7787 7797 453 458
1 6517 7786 446
2 6725 7216 7797 7788 451 452
2 ...

output:

36558

result:

ok 1 number(s): "36558"

Test #10:

score: 0
Accepted
time: 91ms
memory: 3736kb

input:

1000 27 6
2 3760 3746 1523 1749 339 366
2 3738 3746 1688 1609 334 356
1 3754 1559 349
1 3761 1551 347
2 3746 3755 1667 1528 338 340
2 3754 3749 1565 1664 331 356
2 3746 3759 1653 1674 357 362
2 3753 3739 1741 1625 346 359
2 3763 3747 1701 1738 340 343
2 3742 3754 1695 1759 361 366
2 3742 3752 1654 1...

output:

36245

result:

ok 1 number(s): "36245"

Test #11:

score: 0
Accepted
time: 185ms
memory: 3728kb

input:

1000 78 150
1 6600 430 535
1 6589 476 532
2 6596 6596 430 489 530 533
2 6598 6601 469 470 529 531
1 6597 495 534
1 6597 474 533
2 6592 6599 467 465 536 538
2 6600 6596 460 484 535 537
1 6587 461 529
2 6596 6596 431 485 532 533
1 6597 465 538
2 6591 6597 429 465 530 534
1 6598 439 533
2 6596 6588 458...

output:

92999

result:

ok 1 number(s): "92999"

Test #12:

score: 0
Accepted
time: 424ms
memory: 3696kb

input:

1000 19 854
1 4584 7521 143
1 4587 7497 142
2 4587 4582 7516 7363 145 147
2 4591 4585 7360 7370 143 147
2 4582 4589 7491 7418 145 147
1 4592 7366 145
2 4587 4585 7402 7375 142 143
2 4584 4585 7392 7516 145 147
2 4584 4587 7383 7502 142 147
1 4583 7462 145
1 4592 7461 146
1 4588 7409 142
2 4591 4590 ...

output:

163887

result:

ok 1 number(s): "163887"

Test #13:

score: 0
Accepted
time: 411ms
memory: 3652kb

input:

1000 38 834
2 727 740 7904 8009 721 901
2 771 686 7753 7896 707 714
2 790 766 7801 7864 877 919
1 790 7902 874
2 709 686 7990 7998 739 760
1 666 7941 849
2 677 726 8009 7939 810 820
2 679 686 7896 7935 810 923
2 747 718 8018 7963 700 786
1 719 7987 825
1 697 7975 931
1 764 7794 847
1 659 7813 813
1 ...

output:

203301

result:

ok 1 number(s): "203301"

Test #14:

score: 0
Accepted
time: 88ms
memory: 3780kb

input:

1000 767 32
2 615 605 4677 4694 404 408
1 620 4687 421
1 617 4681 452
1 621 4687 436
2 609 608 4698 4678 404 433
2 603 620 4690 4680 391 419
2 604 609 4682 4678 405 428
1 615 4678 443
2 615 611 4678 4698 402 413
1 614 4692 450
2 601 616 4695 4692 441 442
1 614 4674 401
1 617 4697 420
1 606 4698 423
...

output:

104679

result:

ok 1 number(s): "104679"

Test #15:

score: 0
Accepted
time: 85ms
memory: 3724kb

input:

1000 68 9
1 4226 6175 121
2 4232 4221 5792 5879 82 102
1 4226 6152 69
1 4226 5910 69
2 4238 4242 6314 6215 70 74
1 4233 6208 149
1 4247 5765 162
2 4237 4221 5787 5877 180 192
1 4223 5966 148
1 4221 5925 111
2 4241 4245 6105 6069 173 203
1 4234 6275 108
1 4230 5952 166
1 4247 5925 214
1 4220 6288 192...

output:

43227

result:

ok 1 number(s): "43227"

Test #16:

score: 0
Accepted
time: 396ms
memory: 3660kb

input:

1000 20 500
2 9234 9242 4563 4578 972 976
2 9230 9142 4582 4551 972 973
1 9207 4564 971
1 9246 4561 973
2 9228 9253 4564 4571 976 977
1 9132 4566 973
2 9207 9273 4564 4582 970 982
2 9182 9172 4552 4583 965 970
2 9241 9248 4561 4564 965 966
1 9160 4570 978
1 9171 4573 978
1 9288 4564 977
2 9124 9209 ...

output:

168341

result:

ok 1 number(s): "168341"

Test #17:

score: 0
Accepted
time: 146ms
memory: 3720kb

input:

1000 479 93
2 3917 4659 8054 8309 907 919
1 3652 8108 917
1 3807 8421 889
1 3809 7956 918
2 5455 6444 8146 7993 888 897
1 3919 8428 896
1 5806 8417 904
1 5003 8284 908
1 4433 8111 900
2 4758 5119 8171 8370 893 917
1 5167 8085 909
2 5355 4401 8243 8214 894 902
2 4998 6113 8049 7961 901 905
2 6438 588...

output:

130628

result:

ok 1 number(s): "130628"

Test #18:

score: 0
Accepted
time: 148ms
memory: 3684kb

input:

1000 9 64
2 4598 4157 749 771 946 951
2 3869 4053 744 756 946 957
1 3637 785 963
2 4680 4023 760 797 949 950
2 3674 3955 743 759 949 951
1 4442 794 951
2 4336 4099 806 743 946 962
1 4544 787 962
2 4316 4548 743 802 956 963
1 3582 768 949
1 4230 794 955
2 4477 4446 778 780 957 958
2 3758 4306 751 781...

output:

35598

result:

ok 1 number(s): "35598"

Test #19:

score: 0
Accepted
time: 114ms
memory: 3732kb

input:

1000 57 27
1 7434 3356 642
2 7427 7433 3355 3354 669 684
2 7432 7435 3353 3354 683 778
1 7424 3356 772
2 7434 7421 3356 3351 727 803
2 7432 7420 3355 3352 672 695
2 7426 7421 3353 3354 630 656
2 7425 7420 3352 3355 696 701
1 7428 3352 720
1 7429 3355 692
1 7433 3353 714
1 7430 3355 838
2 7432 7420 3...

output:

61871

result:

ok 1 number(s): "61871"

Test #20:

score: 0
Accepted
time: 273ms
memory: 3664kb

input:

1000 883 463
1 2380 6779 801
2 1342 1303 6814 6780 800 801
2 263 1224 6797 6792 801 803
2 623 427 6787 6793 801 803
2 398 2034 6801 6790 802 803
1 1521 6782 800
1 1090 6807 803
1 575 6806 799
2 998 1435 6782 6788 801 803
1 811 6799 800
2 1509 1567 6783 6779 799 800
1 1156 6812 800
1 294 6802 800
1 1...

output:

522826

result:

ok 1 number(s): "522826"

Test #21:

score: 0
Accepted
time: 365ms
memory: 3700kb

input:

1000 1 430
2 9469 9548 8535 8853 127 180
1 9510 9271 108
1 9417 9255 118
1 9603 9094 127
1 9416 8441 120
2 9591 9501 9100 9100 147 198
2 9413 9551 8606 8240 216 223
2 9506 9525 8715 9157 80 152
1 9559 8977 42
1 9552 9286 54
2 9555 9551 8424 9279 37 131
1 9376 9085 61
2 9488 9543 9140 9374 87 222
2 9...

output:

59834

result:

ok 1 number(s): "59834"

Test #22:

score: 0
Accepted
time: 74ms
memory: 3664kb

input:

1000 49 3
2 8881 8913 1885 2159 225 239
1 8883 1980 245
2 8908 8883 2082 2199 223 254
2 8903 8905 2170 2048 229 247
1 8882 1944 225
1 8910 1844 247
2 8887 8902 2034 2080 232 233
1 8887 2082 250
1 8901 1908 251
2 8899 8884 1884 2112 242 245
1 8889 1914 254
1 8899 2188 250
2 8908 8881 2071 2019 239 24...

output:

24042

result:

ok 1 number(s): "24042"

Test #23:

score: 0
Accepted
time: 407ms
memory: 3784kb

input:

1000 51 968
1 3531 6961 345
1 4472 7149 357
1 2691 6615 359
2 3325 4548 7314 6828 356 358
2 4801 3905 6987 6647 358 372
1 4974 6876 366
1 4527 6792 344
2 3363 3335 7054 7147 359 365
1 2922 6705 375
1 4487 7293 355
2 3236 4914 6926 6782 346 374
1 4463 6740 369
1 2796 6833 361
1 3969 6830 358
1 4665 7...

output:

274214

result:

ok 1 number(s): "274214"

Test #24:

score: 0
Accepted
time: 97ms
memory: 3664kb

input:

1000 1 10
2 5234 5378 7146 7016 658 806
2 3852 5355 6863 6990 837 883
2 3953 3596 7007 6909 701 756
1 6504 6967 920
2 4033 5760 6873 7090 674 869
2 4163 4267 7178 6938 864 912
1 3622 6948 938
1 5798 7146 824
1 4829 7126 786
1 4400 6989 775
1 4738 6933 854
2 4230 5240 6863 7148 711 796
1 3987 7172 84...

output:

15333

result:

ok 1 number(s): "15333"

Test #25:

score: 0
Accepted
time: 104ms
memory: 3716kb

input:

1000 614 50
2 2448 2538 7136 7095 541 552
1 2348 7052 565
1 2498 7085 554
2 2313 2444 7132 7152 552 564
1 2300 7021 560
1 2289 7066 553
2 2572 2547 7122 7067 551 563
2 2473 2462 7054 7062 556 563
1 2290 7046 553
2 2397 2493 7134 7053 547 550
1 2312 7049 551
2 2595 2448 7085 7113 549 557
2 2432 2314 ...

output:

133247

result:

ok 1 number(s): "133247"