QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#504488#6755. 方格染色Forested100 ✓63ms14724kbC++177.2kb2024-08-04 13:26:562024-08-04 13:26:56

Judging History

你现在查看的是最新测评结果

  • [2024-08-04 13:26:56]
  • 评测
  • 测评结果:100
  • 用时:63ms
  • 内存:14724kb
  • [2024-08-04 13:26:56]
  • 提交

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