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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 |
---|---|---|---|---|---|---|---|---|---|
#183509 | #6734. Click the Circle | ucup-team004# | AC ✓ | 296ms | 3984kb | C++20 | 5.7kb | 2023-09-19 16:24:57 | 2023-09-19 16:24:57 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
// struct Frac {
// i64 x;
// i64 y;
// Frac(i64 x_ = 0, i64 y_ = 1) : x(x_), y(y_) {
// if (y < 0) {
// x = -x;
// y = -y;
// }
// }
// };
// Frac operator*(const Frac &a, const Frac &b) {
// return Frac(a.x * b.x, a.y * b.y);
// }
// Frac operator/(const Frac &a, const Frac &b) {
// return Frac(a.x * b.y, a.y * b.x);
// }
// Frac operator+(const Frac &a, const Frac &b) {
// return Frac(a.x * b.y + a.y * b.x, a.y * b.y);
// }
// Frac operator-(const Frac &a, const Frac &b) {
// return Frac(a.x * b.y - a.y * b.x, a.y * b.y);
// }
using real = long double;
struct Point {
real x;
real y;
Point(const real &x = 0, const real &y = 0) : x(x), y(y) {}
};
std::ostream &operator<<(std::ostream &o, const Point &p) {
return o << "(" << p.x << ", " << p.y << ")";
}
Point operator+(const Point &a, const Point &b) {
return Point(a.x + b.x, a.y + b.y);
}
Point operator-(const Point &a, const Point &b) {
return Point(a.x - b.x, a.y - b.y);
}
Point operator*(const Point &a, const real &b) {
return Point(a.x * b, a.y * b);
}
Point operator/(const Point &a, const real &b) {
return Point(a.x / b, a.y / b);
}
real dot(const Point &a, const Point &b) {
return a.x * b.x + a.y * b.y;
}
real cross(const Point &a, const Point &b) {
return a.x * b.y - a.y * b.x;
}
real distpp(const Point &a, const Point &b) {
return dot(a - b, a - b);
}
real distpl(const Point &p, const Point &a, const Point &b) {
if (dot(a - b, p - b) <= 0) {
return distpp(p, b);
} else if (dot(b - a, p - a) <= 0) {
return distpp(p, a);
} else {
real cr = cross(a - p, b - p);
return cr * cr / dot(a - b, a - b);
}
}
real distll(const Point &a, const Point &b, const Point &c, const Point &d) {
if (cross(c - a, b - a) * cross(b - a, d - a) > 0 && cross(a - c, d - c) * cross(d - c, b - c) > 0) {
return 0;
}
return std::min({distpl(a, c, d), distpl(b, c, d), distpl(c, a, b), distpl(d, a, b)});
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int N, R, D;
std::cin >> N >> R >> D;
std::vector<std::tuple<Point, Point, int, int>> point, line;
for (int i = 0; i < N; i++) {
int o;
std::cin >> o;
if (o == 1) {
int x, y, t;
std::cin >> x >> y >> t;
point.emplace_back(Point(x, y), Point(x, y), t, t);
} else if (o == 2) {
int x1, y1, x2, y2, u, v;
std::cin >> x1 >> y1 >> x2 >> y2 >> u >> v;
point.emplace_back(Point(x1, y1), Point(x2, y2), u, v);
line.emplace_back(Point(x1, y1), Point(x2, y2), u, v);
}
}
auto intersectpp1 = [&](const auto &p1, const auto &p2) {
auto [a, b, l1, r1] = p1;
auto [c, d, l2, r2] = p2;
int l = std::max(l1, l2);
int r = std::min(r1, r2);
if (l > r) {
return false;
}
Point v1 = l1 == r1 ? Point() : (b - a) / (r1 - l1);
Point v2 = l2 == r2 ? Point() : (d - c) / (r2 - l2);
Point u = a + v1 * (l - l1) - (c + v2 * (l - l2));
Point v = a + v1 * (r - l1) - (c + v2 * (r - l2));
return distpl(Point(), u, v) <= 4 * R * R;
};
auto intersectpp = [&](const auto &p1, const auto &p2) {
auto [a, b, l1, r1] = p1;
auto [c, d, l2, r2] = p2;
for (auto x : {std::make_tuple(a, a, l1 - D, l1), {a, b, l1, r1}, {b, b, r1, r1 + D}}) {
for (auto y : {std::make_tuple(c, c, l2 - D, l2), {c, d, l2, r2}, {d, d, r2, r2 + D}}) {
if (intersectpp1(x, y)) {
return true;
}
}
}
return false;
};
auto intersectpl1 = [&](const auto &p1, const auto &p2) {
auto [a, b, l1, r1] = p1;
auto [c, d, l2, r2] = p2;
int l = std::max(l1, l2);
int r = std::min(r1, r2);
if (l > r) {
return false;
}
Point v1 = l1 == r1 ? Point() : (b - a) / (r1 - l1);
Point u = a + v1 * (l - l1);
Point v = a + v1 * (r - l1);
return distll(u, v, c, d) <= 4 * R * R;
};
auto intersectpl = [&](const auto &p1, const auto &p2) {
auto [a, b, l1, r1] = p1;
auto [c, d, l2, r2] = p2;
for (auto x : {std::make_tuple(a, a, l1 - D, l1), {a, b, l1, r1}, {b, b, r1, r1 + D}}) {
if (intersectpl1(x, std::make_tuple(c, d, l2 - D, r2 + D))) {
return true;
}
}
return false;
};
auto intersectll = [&](const auto &p1, const auto &p2) {
auto [a, b, l1, r1] = p1;
auto [c, d, l2, r2] = p2;
l1 -= D, r1 += D;
l2 -= D, r2 += D;
int l = std::max(l1, l2);
int r = std::min(r1, r2);
if (l > r) {
return false;
}
return distll(a, b, c, d) <= 4 * R * R;
};
int ans = 0;
for (int i = 0; i < point.size(); i++) {
for (int j = i + 1; j < point.size(); j++) {
ans += intersectpp(point[i], point[j]);
}
}
for (auto a : point) {
for (auto b : line) {
ans += intersectpl(a, b);
}
}
for (int i = 0; i < line.size(); i++) {
for (int j = i + 1; j < line.size(); j++) {
ans += intersectll(line[i], line[j]);
}
}
std::cout << ans << "\n";
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3564kb
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: 0ms
memory: 3568kb
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: 3628kb
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: 0ms
memory: 3844kb
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: 3592kb
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: 127ms
memory: 3756kb
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: 122ms
memory: 3692kb
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: 131ms
memory: 3984kb
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: 148ms
memory: 3692kb
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: 122ms
memory: 3688kb
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: 176ms
memory: 3696kb
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: 296ms
memory: 3748kb
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: 283ms
memory: 3748kb
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: 123ms
memory: 3628kb
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: 124ms
memory: 3944kb
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: 275ms
memory: 3748kb
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: 154ms
memory: 3748kb
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: 154ms
memory: 3976kb
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: 139ms
memory: 3684kb
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: 212ms
memory: 3788kb
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: 265ms
memory: 3760kb
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: 118ms
memory: 3752kb
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: 279ms
memory: 3744kb
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: 126ms
memory: 3692kb
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: 134ms
memory: 3752kb
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"