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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 |
---|---|---|---|---|---|---|---|---|---|
#528034 | #6755. 方格染色 | Qwerty1232 | 100 ✓ | 122ms | 27456kb | C++23 | 7.5kb | 2024-08-23 04:42:46 | 2024-08-23 04:42:47 |
Judging History
answer
#include <bits/stdc++.h>
struct Vector {
int x, y;
Vector() : x(0), y(0) { ; }
Vector(int x, int y) : x(x), y(y) { ; }
Vector operator-(const Vector& other) const {
return Vector(x - other.x, y - other.y);
}
int64_t operator*(const Vector& other) const {
return int64_t(x) * other.x + int64_t(y) * other.y;
}
int64_t operator%(const Vector& other) const {
return int64_t(x) * other.y - int64_t(y) * other.x;
}
bool operator==(const Vector& other) const {
return x == other.x && y == other.y;
}
};
struct Line {
int64_t c;
Vector n;
Line() = default;
Line(Vector a, Vector b) {
n = Vector((a - b).y, -(a - b).x);
c = -(n * a);
}
int64_t fuck(Vector v) {
return v * n + c;
}
};
Vector inter_point(Line a, Line b) {
int64_t cross = a.n % b.n;
if (cross == 0) {
// assert(false);
return {-1, -1};
}
Vector res;
__int128_t pr1 = (b.c * __int128_t(a.n.y) - a.c * __int128_t(b.n.y));
__int128_t pr2 = (b.c * __int128_t(a.n.x) - a.c * __int128_t(b.n.x));
assert(pr1 % cross == 0);
assert(pr2 % cross == 0);
res.x = (b.c * __int128_t(a.n.y) - a.c * __int128_t(b.n.y)) / cross;
res.y = (b.c * __int128_t(a.n.x) - a.c * __int128_t(b.n.x)) / -cross;
assert(a.fuck(res) == 0);
assert(b.fuck(res) == 0);
return res;
}
std::pair<bool, Vector> intersect(Vector a, Vector b, Vector c, Vector d) {
if (a == b && c == d) {
return {a == c, c};
}
if (a == b || c == d) {
if (a == b) {
std::swap(a, c);
std::swap(b, d);
}
if ((a - b) % (c - b) != 0) {
return {false, {}};
}
// if (a== c || b == c){
// return {true, c};
// }
if ((c - b) * (a - b) >= 0 && (c - a) * (b - a) >= 0) {
return {true, c};
}
return {false, {}};
}
int64_t p1 = (a - b) % (c - b);
int64_t p2 = (a - b) % (d - b);
int64_t p3 = (c - d) % (a - d);
int64_t p4 = (c - d) % (b - d);
bool b1 = p1 == 0 || p2 == 0 || ((p1 > 0) != (p2 > 0));
bool b2 = p3 == 0 || p4 == 0 || ((p3 > 0) != (p4 > 0));
bool res = b1 && b2;
if (res) {
Vector p = inter_point(Line(a, b), Line(c, d));
if (Line(a, b).fuck(p) == 0 && Line(c, d).fuck(p) == 0) {
return {true, p};
}
}
return {false, {}};
}
struct Bit {
int n;
std::vector<int> data;
Bit(int n = 0) : n(n), data(n, 0) { ; }
void update(int i, int dlt) {
for (; i < n; i |= i + 1) {
data[i] += dlt;
}
}
int get_prf(int i) {
int res = 0;
for (; i >= 0; i = (i & i + 1) - 1) {
res += data[i];
}
return res;
}
};
int32_t main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(nullptr);
int group_id;
int w, h, q;
std::cin >> group_id >> w >> h >> q;
std::vector<std::array<int, 5>> input(q);
for (auto& [a, b, c, d, e] : input) {
std::cin >> a >> b >> c >> d >> e;
b--, c--, d--, e--;
}
std::map<int, std::vector<std::pair<int, int>>> vert, horz, diag;
for (auto [tp, x1, y1, x2, y2] : input) {
assert(x1 <= x2);
assert(y1 <= y2);
if (tp == 1) {
horz[y1].push_back({x1, x2 + 1});
} else if (tp == 2) {
vert[x1].push_back({y1, y2 + 1});
} else {
diag[x1 - y1].push_back({x1 + y1, x2 + y2 + 2});
}
}
std::vector<std::pair<Vector, Vector>> v_seg, h_seg;
std::vector<std::pair<Vector, Vector>> d_seg;
for (auto ptr : std::vector{&vert, &horz, &diag}) {
std::vector<int> all;
for (auto [x, vec] : *ptr) {
all.clear();
for (auto [l, r] : vec) {
all.push_back(l);
all.push_back(r);
}
std::sort(all.begin(), all.end());
all.erase(std::unique(all.begin(), all.end()), all.end());
std::vector<int> fuck(all.size());
for (auto [l, r] : vec) {
l = std::lower_bound(all.begin(), all.end(), l) - all.begin();
r = std::lower_bound(all.begin(), all.end(), r) - all.begin();
fuck[l]++, fuck[r]--;
}
for (int i = 0, s = 0; i < all.size(); i++) {
s += fuck[i];
if (s) {
if (ptr == &vert) {
v_seg.push_back({Vector{x, all[i]}, Vector{x, all[i + 1] - 1}});
} else if (ptr == &horz) {
h_seg.push_back({Vector{all[i], x}, Vector{all[i + 1] - 1, x}});
} else {
int x1 = (x + all[i]) / 2, y1 = (all[i] - x) / 2;
int x2 = (x + all[i + 1]) / 2, y2 = (all[i + 1] - x) / 2;
d_seg.push_back({Vector{x1, y1}, Vector{x2 - 1, y2 - 1}});
Vector dt = d_seg.back().second - d_seg.back().first;
assert(dt.x == dt.y);
}
}
}
}
}
int64_t ans = 0;
for (auto [a, b] : v_seg) {
ans += b.y - a.y + 1;
}
for (auto [a, b] : h_seg) {
ans += b.x - a.x + 1;
}
for (auto [a, b] : d_seg) {
ans += b.x - a.x + 1;
}
if (1) {
std::vector<int> all;
for (auto [a, b] : v_seg) {
all.push_back(a.y);
all.push_back(b.y);
}
for (auto [a, b] : h_seg) {
all.push_back(a.y);
all.push_back(b.y);
}
std::sort(all.begin(), all.end());
all.erase(std::unique(all.begin(), all.end()), all.end());
Bit bt(all.size());
std::vector<std::array<int, 4>> events;
for (auto [a, b] : v_seg) {
events.push_back({a.x, 1, a.y, b.y});
}
for (auto [a, b] : h_seg) {
assert(a.y == b.y);
events.push_back({a.x, 0, a.y, -1});
events.push_back({b.x, 2, a.y, -1});
}
std::sort(events.begin(), events.end());
for (auto [x, tp, y, y2] : events) {
int it = std::lower_bound(all.begin(), all.end(), y) - all.begin();
int it2 = std::lower_bound(all.begin(), all.end(), y2) - all.begin();
if (tp == 0) {
bt.update(it, +1);
} else if (tp == 2) {
bt.update(it, -1);
} else {
assert(it2 < all.size());
ans -= bt.get_prf(it2) - bt.get_prf(it - 1);
}
}
} else {
for (auto [a, b] : v_seg) {
for (auto [c, d] : h_seg) {
ans -= intersect(a, b, c, d).first;
}
}
}
std::map<std::pair<int, int>, int> map;
for (auto [a, b] : d_seg) {
for (auto [c, d] : v_seg) {
auto [it, p] = intersect(a, b, c, d);
if (it) {
ans--;
map[{p.x, p.y}]++;
}
}
for (auto [c, d] : h_seg) {
auto [it, p] = intersect(a, b, c, d);
if (it) {
ans--;
map[{p.x, p.y}]++;
}
}
}
for (auto [a, b] : map) {
assert(b == 1 || b == 2);
ans += b > 1;
}
std::cout << ans << "\n";
return 0;
}
詳細信息
Pretests
Final Tests
Test #1:
score: 5
Accepted
time: 1ms
memory: 3692kb
input:
1 300 300 300 2 3 211 3 214 2 55 69 55 110 2 41 231 41 243 2 205 220 205 250 2 157 229 157 252 1 176 78 183 78 2 3 94 3 106 1 9 35 9 35 2 47 290 47 297 1 278 93 288 93 2 41 236 41 236 1 194 60 252 60 2 193 188 193 212 2 3 223 3 230 1 79 13 109 13 1 44 34 180 34 2 195 219 195 227 1 118 26 157 26 1 6 ...
output:
6278
result:
ok 1 number(s): "6278"
Test #2:
score: 5
Accepted
time: 1ms
memory: 3960kb
input:
2 300 300 300 2 85 246 85 256 2 65 278 65 296 2 162 161 162 163 2 55 17 55 25 2 100 33 100 35 1 15 190 43 190 2 85 166 85 173 1 39 15 48 15 2 252 1 252 5 1 244 88 250 88 2 162 212 162 213 1 17 187 32 187 2 17 23 17 23 2 85 104 85 113 1 21 297 84 297 1 42 21 77 21 2 202 31 202 56 1 216 211 267 211 1 ...
output:
6200
result:
ok 1 number(s): "6200"
Test #3:
score: 5
Accepted
time: 1ms
memory: 3660kb
input:
3 300 300 300 2 116 224 116 238 2 46 87 46 92 2 28 22 28 31 2 283 56 283 131 2 39 242 39 272 1 231 61 264 61 2 116 69 116 86 1 225 60 281 60 2 189 39 189 160 1 24 298 56 298 2 28 159 28 167 1 246 160 285 160 2 177 93 177 120 2 116 168 116 168 1 281 290 283 290 1 277 136 277 136 2 289 268 289 282 1 1...
output:
6639
result:
ok 1 number(s): "6639"
Test #4:
score: 5
Accepted
time: 1ms
memory: 3716kb
input:
4 300 300 300 2 106 122 106 127 2 11 115 11 136 2 73 109 73 139 2 172 52 172 123 2 265 205 265 242 1 120 292 120 292 2 106 97 106 104 1 60 279 133 279 2 233 51 233 65 1 21 198 24 198 2 73 273 73 281 1 64 159 85 159 2 50 54 50 197 2 106 160 106 168 1 248 54 252 54 1 53 59 61 59 2 131 80 131 80 1 55 2...
output:
7078
result:
ok 1 number(s): "7078"
Test #5:
score: 5
Accepted
time: 1ms
memory: 3732kb
input:
5 300 300 300 2 287 265 287 265 2 111 270 111 297 2 157 17 157 58 2 277 275 277 298 2 15 211 15 211 1 14 30 63 30 2 287 84 287 156 1 253 35 295 35 2 20 190 20 194 1 286 33 286 33 2 157 96 157 98 1 91 39 163 39 2 250 8 250 155 2 287 11 287 11 1 300 251 300 251 1 2 17 25 17 2 277 265 277 298 1 29 220 ...
output:
7125
result:
ok 1 number(s): "7125"
Test #6:
score: 5
Accepted
time: 2ms
memory: 4020kb
input:
6 100000 100000 2000 1 18077 90844 29870 90844 1 15898 25209 29023 25209 2 44675 61077 44675 61413 1 99173 18081 99624 18081 2 14413 11091 14413 11125 1 99340 26474 99814 26474 2 96947 75112 96947 80888 2 66129 52517 66129 54954 1 93237 26027 98206 26027 2 78129 62643 78129 85005 1 58541 25209 58885...
output:
9811536
result:
ok 1 number(s): "9811536"
Test #7:
score: 5
Accepted
time: 2ms
memory: 4064kb
input:
7 100000 100000 2000 1 34031 33382 34054 33382 1 99015 33804 99864 33804 2 34512 3505 34512 4898 1 55048 84217 56238 84217 2 38112 40398 38112 42615 1 50442 65899 51889 65899 2 88157 62617 88157 86041 2 60447 86164 60447 92917 1 65226 27267 76959 27267 2 14212 5626 14212 15791 1 8592 33804 10140 338...
output:
10053021
result:
ok 1 number(s): "10053021"
Test #8:
score: 5
Accepted
time: 0ms
memory: 3952kb
input:
8 100000 100000 2000 1 98275 10296 99977 10296 1 73858 63081 78509 63081 2 13466 55377 13466 56714 1 6243 488 9927 488 2 17152 2176 17152 2450 1 54764 65968 58926 65968 2 44370 73685 44370 75926 2 67096 21518 67096 39914 1 451 9553 481 9553 2 68472 48718 68472 62445 1 4999 63081 8847 63081 2 19270 4...
output:
10332321
result:
ok 1 number(s): "10332321"
Test #9:
score: 5
Accepted
time: 2ms
memory: 4240kb
input:
9 100000 100000 2000 1 23317 23871 31852 23871 1 53872 67865 56553 67865 2 72463 7396 72463 8278 1 1541 6200 3500 6200 2 70353 66810 70353 67517 1 13712 70706 14713 70706 2 61832 48509 61832 67304 2 15946 75070 15946 88595 1 12825 45666 19060 45666 2 69012 9660 69012 11970 1 69321 67865 69955 67865 ...
output:
9979747
result:
ok 1 number(s): "9979747"
Test #10:
score: 5
Accepted
time: 84ms
memory: 25760kb
input:
10 100000 100000 100000 1 61835 40902 62028 40902 1 64668 87940 90795 87940 1 61451 55355 61721 55355 1 98743 90394 98811 90394 1 93456 95437 93715 95437 1 178 96457 37434 96457 1 93457 73049 93641 73049 1 19855 25199 20057 25199 1 30835 55620 49371 55620 1 870 22188 35965 22188 1 89651 53076 93078 ...
output:
376451109
result:
ok 1 number(s): "376451109"
Test #11:
score: 5
Accepted
time: 83ms
memory: 27456kb
input:
11 100000 100000 100000 1 93433 32681 94198 32681 1 2415 85702 10653 85702 1 8749 5532 8752 5532 1 4176 3468 7801 3468 1 65135 97514 70898 97514 1 1346 69975 2218 69975 1 7238 53922 7339 53922 1 6680 21587 14606 21587 1 9177 40049 75470 40049 1 2212 26058 49400 26058 1 35015 27905 44587 27905 1 6151...
output:
378527694
result:
ok 1 number(s): "378527694"
Test #12:
score: 5
Accepted
time: 82ms
memory: 25844kb
input:
12 100000 100000 100000 1 644 10293 1177 10293 1 21231 74542 39652 74542 1 43086 28517 43600 28517 1 26256 93913 30489 93913 1 96516 44567 99105 44567 1 61061 42889 82165 42889 1 99983 5181 99987 5181 1 34354 47611 35329 47611 1 9509 65384 12488 65384 1 4173 11791 41138 11791 1 56669 47644 65359 476...
output:
374249547
result:
ok 1 number(s): "374249547"
Test #13:
score: 5
Accepted
time: 90ms
memory: 24816kb
input:
13 100000 100000 100000 1 25010 45828 33332 45828 1 51296 68890 72169 68890 1 78689 23687 78701 23687 1 95867 9382 97806 9382 1 55509 23786 99806 23786 1 40260 60931 44183 60931 1 22221 30731 22226 30731 1 76059 58981 76830 58981 1 7920 60112 15752 60112 1 44688 44084 73628 44084 1 11777 79268 17075...
output:
383211528
result:
ok 1 number(s): "383211528"
Test #14:
score: 5
Accepted
time: 95ms
memory: 17772kb
input:
14 100000 100000 100000 2 80885 49245 80885 49283 2 11220 64102 11220 65000 1 92473 13377 99579 13377 2 80885 86626 80885 86820 2 21118 1259 21118 11985 2 42237 62778 42237 69888 1 97222 79184 98758 79184 2 44599 63597 44599 63713 2 79040 95387 79040 96667 2 69913 88035 69913 88669 2 45307 2924 4530...
output:
381101960
result:
ok 1 number(s): "381101960"
Test #15:
score: 5
Accepted
time: 87ms
memory: 18128kb
input:
15 100000 100000 100000 2 91764 54353 91764 54520 2 28652 49170 28652 49615 1 9331 16798 11503 16798 2 91764 79993 91764 81072 2 84153 26433 84153 32088 2 75533 55981 75533 56009 1 37815 31743 39093 31743 2 6745 3757 6745 3760 2 63642 6258 63642 22771 2 55482 37341 55482 37878 2 81074 74483 81074 88...
output:
382632220
result:
ok 1 number(s): "382632220"
Test #16:
score: 5
Accepted
time: 92ms
memory: 16428kb
input:
16 100000 100000 100000 2 66828 6630 66828 7506 2 62880 34446 62880 43261 1 47672 55311 60293 55311 2 66828 76715 66828 76935 2 363 3447 363 68149 2 63886 41674 63886 55533 1 22133 90250 22411 90250 2 73144 82613 73144 82629 2 29932 19382 29932 22540 2 1995 82720 1995 83239 2 45497 7470 45497 10822 ...
output:
380367856
result:
ok 1 number(s): "380367856"
Test #17:
score: 5
Accepted
time: 84ms
memory: 17128kb
input:
17 100000 100000 100000 2 77793 41255 77793 41333 2 5747 28352 5747 35492 1 14185 60840 15523 60840 2 77793 13667 77793 13709 2 29577 61040 29577 86816 2 65419 21908 65419 21909 1 4053 40767 5023 40767 2 5799 75974 5799 75989 2 56279 2793 56279 5116 2 88847 42645 88847 42947 2 26816 5454 26816 29322...
output:
377356031
result:
ok 1 number(s): "377356031"
Test #18:
score: 5
Accepted
time: 97ms
memory: 17524kb
input:
18 100000 100000 100000 2 1268 88808 1268 88885 2 57502 2110 57502 4367 1 41290 26515 47069 26515 2 1268 26818 1268 27021 2 71149 83597 71149 94531 2 10874 27348 10874 27667 1 43190 25771 43495 25771 2 58647 88335 58647 88418 2 79069 10314 79069 79144 2 40298 5896 40298 6940 2 59012 9576 59012 13924...
output:
381702497
result:
ok 1 number(s): "381702497"
Test #19:
score: 5
Accepted
time: 95ms
memory: 17004kb
input:
19 100000 100000 100000 2 89823 49443 89823 49983 2 80228 97306 80228 97895 1 42598 57336 42786 57336 2 89823 77556 89823 77717 2 66932 24494 66932 55405 2 53340 64541 53340 64712 1 60745 97405 69512 97405 2 40429 2913 40429 3039 2 81959 82182 81959 90993 2 8781 67985 8781 68397 2 78315 7314 78315 3...
output:
380715962
result:
ok 1 number(s): "380715962"
Test #20:
score: 5
Accepted
time: 122ms
memory: 17576kb
input:
20 1000000000 1000000000 100000 2 94971842 653040809 94971842 653703458 2 482724716 383575122 482724716 435099343 1 318102608 972959400 378877390 972959400 2 94971842 860758970 94971842 863268182 2 367852389 787409469 367852389 998707870 2 419520406 173007646 419520406 446320624 1 89956469 295257477...
output:
3930560445242
result:
ok 1 number(s): "3930560445242"
Extra Test:
score: 0
Extra Test Passed