QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#504488 | #6755. 方格染色 | Forested | 100 ✓ | 63ms | 14724kb | C++17 | 7.2kb | 2024-08-04 13:26:56 | 2024-08-04 13:26:56 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using i32 = int;
using i64 = long long;
template <typename T>
using V = vector<T>;
template <typename T>
using VV = V<V<T>>;
template <typename T>
using VVV = V<VV<T>>;
template <typename T>
bool chmin(T &x, const T &y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
if (x < y) {
x = y;
return true;
}
return false;
}
#define ALL(x) begin(x), end(x)
#define LEN(x) (i32) size(x)
#define OVERRIDE4(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i)
#define REP3(i, l, r) for (i32 i = (i32)(l); i < (i32)(r); ++i)
#define REP(...) OVERRIDE4(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER2(i, n) for (i32 i = (i32)(n)-1; i >= 0; --i)
#define PER3(i, l, r) for (i32 i = (i32)(r)-1; i >= (i32)(l); --i)
#define PER(...) OVERRIDE4(__VA_ARGS__, PER3, PER2)(__VA_ARGS__)
void dbg(i32 x) { cerr << x; }
void dbg(i64 x) { cerr << x; }
template <typename T, typename U>
void dbg(pair<T, U> p) {
cerr << '(';
dbg(p.first);
cerr << ", ";
dbg(p.second);
cerr << ')';
}
template <typename T, typename U, typename V>
void dbg(tuple<T, U, V> p) {
cerr << '(';
dbg(get<0>(p));
cerr << ", ";
dbg(get<1>(p));
cerr << ", ";
dbg(get<2>(p));
cerr << ')';
}
template <typename T>
void dbg(V<T> arr) {
cerr << '[';
REP(i, LEN(arr)) {
if (i) {
cerr << ", ";
}
dbg(arr[i]);
}
cerr << ']';
}
void debug() { cerr << '\n'; }
template <typename Head, typename... Tail>
void debug(Head head, Tail... tail) {
dbg(head);
cerr << ", ";
debug(tail...);
}
#ifdef DEBUGF
#define DBG(...) \
do { \
cerr << #__VA_ARGS__ << " : "; \
debug(__VA_ARGS__); \
} while (false)
#else
#define DBG(...) (void)0
#endif
class FenwickTree {
i32 n;
V<i32> dat;
public:
FenwickTree(i32 n) : n(n), dat(n + 1, 0) {}
void add(i32 idx, i32 v) {
assert(0 <= idx && idx < n);
++idx;
while (idx <= n) {
dat[idx] += v;
idx += idx & -idx;
}
}
i32 sum(i32 k) const {
assert(0 <= k && k <= n);
i32 ret = 0;
while (k > 0) {
ret += dat[k];
k -= k & -k;
}
return ret;
}
};
#define y1 PCTprobability
#define y2 probabilityPCT
set<tuple<i32, i32, i32>> merge_lines(
const V<pair<i32, pair<i32, i32>>> &lines) {
map<i32, V<pair<i32, i32>>> mp;
for (auto [x, p] : lines) {
mp[x].push_back(p);
}
set<tuple<i32, i32, i32>> ret;
for (auto &[x, v] : mp) {
sort(ALL(v));
V<pair<i32, i32>> rngs;
for (auto [l, r] : v) {
if (!rngs.empty() && rngs.back().second >= l) {
chmax(rngs.back().second, r);
} else {
rngs.emplace_back(l, r);
}
}
for (auto [l, r] : rngs) {
ret.insert({x, r, l});
}
}
return ret;
}
i64 count_crosspoints(const set<tuple<i32, i32, i32>> &xrl,
const set<tuple<i32, i32, i32>> &yrl) {
V<i32> xs, ys;
for (auto [x, r, l] : xrl) {
REP(d, -1, 2) xs.push_back(x + d);
REP(d, -1, 2) ys.push_back(r + d);
REP(d, -1, 2) ys.push_back(l + d);
}
for (auto [y, r, l] : xrl) {
ys.push_back(y);
xs.push_back(r);
xs.push_back(l);
}
sort(ALL(xs));
xs.erase(unique(ALL(xs)), xs.end());
sort(ALL(ys));
ys.erase(unique(ALL(ys)), ys.end());
i32 h = LEN(xs);
i32 w = LEN(ys);
VV<pair<i32, i32>> add(h + 1);
VV<i32> plus(h + 1), minus(h + 1);
for (auto [x, r, l] : xrl) {
x = (i32)(lower_bound(ALL(xs), x) - begin(xs));
l = (i32)(lower_bound(ALL(ys), l) - begin(ys));
r = (i32)(lower_bound(ALL(ys), r) - begin(ys));
add[x].emplace_back(l, r);
}
for (auto [y, r, l] : yrl) {
y = (i32)(lower_bound(ALL(ys), y) - begin(ys));
l = (i32)(lower_bound(ALL(xs), l) - begin(xs));
r = (i32)(lower_bound(ALL(xs), r) - begin(xs));
plus[r].push_back(y);
minus[l].push_back(y);
}
FenwickTree fw(w + 1);
i64 ans = 0;
REP(i, h + 1) {
for (i32 j : minus[i]) {
ans -= fw.sum(j + 1);
}
for (i32 j : plus[i]) {
ans += fw.sum(j + 1);
}
for (auto [l, r] : add[i]) {
fw.add(l, 1);
fw.add(r, -1);
}
}
return ans;
}
int main() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
i32 testcase;
cin >> testcase;
i32 n, m, q;
cin >> n >> m >> q;
struct Op {
i32 type, x1, y1, x2, y2;
};
V<Op> ops(q);
for (Op &op : ops) {
cin >> op.type >> op.x1 >> op.y1 >> op.x2 >> op.y2;
--op.x1;
--op.y1;
if (op.type == 1) {
--op.y2;
}
if (op.type == 2) {
--op.x2;
}
}
V<pair<i32, pair<i32, i32>>> t1, t2, t3;
for (Op op : ops) {
if (op.type == 1) {
// y1 == y2
t1.emplace_back(op.y1, pair<i32, i32>(op.x1, op.x2));
} else if (op.type == 2) {
// x1 == x2
t2.emplace_back(op.x1, pair<i32, i32>(op.y1, op.y2));
} else {
t3.emplace_back(op.x1 - op.y1, pair<i32, i32>(op.x1, op.x2));
}
}
set<tuple<i32, i32, i32>> yrl = merge_lines(t1);
set<tuple<i32, i32, i32>> xrl = merge_lines(t2);
set<tuple<i32, i32, i32>> xyrl = merge_lines(t3);
i64 ans = 0;
for (auto [y, r, l] : yrl) {
ans += r - l;
}
DBG(ans);
for (auto [x, r, l] : xrl) {
ans += r - l;
}
DBG(ans);
/*for (auto [x, r1, l1] : xrl) {
for (auto [y, r2, l2] : yrl) {
if (l2 <= x && x < r2 && l1 <= y && y < r1) {
--ans;
}
}
}*/
ans -= count_crosspoints(xrl, yrl);
DBG(ans);
for (auto [xy, r, l] : xyrl) {
ans += r - l;
}
DBG(ans);
for (auto [xy, r_, l_] : xyrl) {
i32 x1 = l_;
i32 x2 = r_;
i32 y1 = x1 - xy;
i32 y2 = x2 - xy;
for (auto [x, r, l] : xrl) {
i32 y = y1 + (x - x1);
if (l <= y && y < r && x1 <= x && x < x2) {
--ans;
}
}
}
DBG(ans);
for (auto [xy, r_, l_] : xyrl) {
i32 x1 = l_;
i32 x2 = r_;
i32 y1 = x1 - xy;
i32 y2 = x2 - xy;
for (auto [y, r, l] : yrl) {
i32 x = x1 + (y - y1);
if (l <= x && x < r && y1 <= y && y < y2) {
--ans;
// if (x, y) is in xrl
auto itr = xrl.lower_bound(tuple<i32, i32, i32>(x, y + 1, 0));
if (itr != end(xrl) && get<0>(*itr) == x && get<2>(*itr) <= y) {
++ans;
}
}
}
}
DBG(ans);
cout << ans << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Pretests
Final Tests
Test #1:
score: 5
Accepted
time: 1ms
memory: 3656kb
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: 3588kb
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: 3848kb
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: 3588kb
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: 3812kb
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: 1ms
memory: 3884kb
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: 1ms
memory: 4112kb
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: 2ms
memory: 3808kb
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: 0ms
memory: 4072kb
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: 39ms
memory: 10712kb
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: 24ms
memory: 10640kb
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: 35ms
memory: 10528kb
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: 40ms
memory: 10632kb
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: 52ms
memory: 13320kb
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: 55ms
memory: 13348kb
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: 48ms
memory: 13300kb
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: 51ms
memory: 13316kb
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: 52ms
memory: 13456kb
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: 56ms
memory: 13284kb
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: 63ms
memory: 14724kb
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