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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#528034#6755. 方格染色Qwerty1232100 ✓122ms27456kbC++237.5kb2024-08-23 04:42:462024-08-23 04:42:47

Judging History

你现在查看的是最新测评结果

  • [2024-08-23 04:42:47]
  • 评测
  • 测评结果:100
  • 用时:122ms
  • 内存:27456kb
  • [2024-08-23 04:42:46]
  • 提交

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;
}

Details

Tip: Click on the bar to expand more detailed information

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