QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#125244 | #6734. Click the Circle | jeroenodb | AC ✓ | 424ms | 3784kb | C++17 | 5.1kb | 2023-07-16 09:06:03 | 2023-07-16 09:06:07 |
Judging History
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';
}
Details
Tip: Click on the bar to expand more detailed information
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"