QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#687331#9165. Petrol stationsQwerty1232100 ✓504ms59344kbC++239.1kb2024-10-29 18:24:562024-10-29 18:24:57

Judging History

你现在查看的是最新测评结果

  • [2024-10-29 18:24:57]
  • 评测
  • 测评结果:100
  • 用时:504ms
  • 内存:59344kb
  • [2024-10-29 18:24:56]
  • 提交

answer

#include <bits/stdc++.h>

// #define int int64_t
int K;

struct Shit {
    int64_t tm;
    int cnt, prf;

    bool operator<(const Shit& other) const {
        return tm < other.tm;
    }
};
struct Cum {
    int64_t dlt;
    int sh;
    std::vector<Shit> vec;

    bool operator<(const Cum& other) const {
        return false;
    }
};
using Fuck = std::vector<Cum>;
// using Fuck2 = std::pair<int64_t, Fuck>;

int cum_size(const Cum& c) {
    return c.vec.size() - c.sh;
}

void cum_push(Cum& a) {
    for (int i = a.sh; i < a.vec.size(); i++) {
        a.vec[i].tm += a.dlt;
    }
}

Cum cum_merge(Cum& a, Cum& b) {
    Cum res(0, 0, {});
    cum_push(a);
    cum_push(b);
    res.vec.resize(cum_size(a) + cum_size(b));
    std::merge(a.vec.begin() + a.sh, a.vec.end(),
               b.vec.begin() + b.sh, b.vec.end(),
               res.vec.begin());
    for (int i = 0, s = 0; i < res.vec.size(); i++) {
        res.vec[i].prf = (s += res.vec[i].cnt);
    }

    a.dlt = 0, a.sh = 0, a.vec.clear();
    b.dlt = 0, b.sh = 0, b.vec.clear();
    return res;
}

// merges to a
void fuck_merge(Fuck& a, Fuck& b) {
    a.resize(std::max(a.size(), b.size()) + 1);
    Cum carry{0, 0, {}};
    for (int i = 0; i < a.size(); i++) {
        if (cum_size(carry)) {
            if (cum_size(a[i])) {
                carry = cum_merge(carry, a[i]);
            } else {
                a[i] = std::move(carry);
            }
        }
        if (i < b.size() && cum_size(b[i])) {
            if (cum_size(a[i])) {
                carry = cum_merge(a[i], b[i]);
            } else {
                a[i] = std::move(b[i]);
            }
        }
    }
    assert(cum_size(carry) == 0);
    while (a.size() && cum_size(a.back()) == 0) {
        a.pop_back();
    }
    b.clear();
}

__attribute__((optimize("O3"), target("avx2"))) std::pair<int, int> cum_fisting(Cum& c, int w) {
    c.dlt -= w;
    int dlt = 0;
    int sum = 0;
    int it = std::lower_bound(c.vec.begin() + c.sh, c.vec.end(), Shit{-c.dlt, 0, 0}) - c.vec.begin();
    // while (cum_size(c) && c.vec[c.sh].tm + c.dlt < 0) {

    sum = (it == 0 ? 0 : c.vec[it - 1].prf) - (c.sh == 0 ? 0 : c.vec[c.sh - 1].prf);
    // for (int i = c.sh; i < it; i++) {
    //     sum += c.vec[i].cnt;
    // }
    dlt = it - c.sh;
    c.sh = it;
    if (dlt) {
        c.vec.push_back({(K - w) - c.dlt, sum});
        c.vec.back().prf = c.vec.back().cnt + (c.vec.size() == 1 ? 0 : c.vec.rbegin()[1].prf);
    }
    return {dlt, sum};
}

int fuck_fisting(Fuck& f, int w) {
    int sum = 0;
    for (auto& cum : f) {
        auto [dt, sm] = cum_fisting(cum, w);
        sum += sm;
    }
    return sum;
}

void cum_reverse_fisting(Cum& c, int w, int ftg) {
    c.dlt += w;
    if (ftg) {
        c.sh -= ftg;
        c.vec.pop_back();
    }
}

int32_t main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int n;
    std::cin >> n >> K;
    std::vector<std::vector<std::pair<int, int>>> gr(n);
    std::vector<std::vector<int64_t>> dp(n);

    for (int i = 0; i < n - 1; i++) {
        int u, v, w;
        std::cin >> u >> v >> w;
        gr[u].push_back({v, w}), gr[v].push_back({u, w});
    }
    for (int i = 0; i < n; i++) {
        dp[i].resize(gr[i].size());
    }
    std::vector<int> fising_sz(n), fisting_depth(n);
    {
        auto dfs = [&](auto dfs, int v, int f) -> void {
            fising_sz[v] = 1;
            for (auto [t, w] : gr[v]) {
                if (t != f) {
                    fisting_depth[t] = fisting_depth[v] + 1;
                    dfs(dfs, t, v);
                    fising_sz[v] += fising_sz[t];
                }
            }
        };
        dfs(dfs, 0, -1);
    }

    auto get_sb_sz = [&](int u, int v) {
        if (fisting_depth[u] < fisting_depth[v]) {
            return fising_sz[v];
        }
        return n - fising_sz[u];
    };

    // for (int i = 0; i < n; i++) {
    //     auto dfs = [&](auto dfs, int v, int fr) -> Fuck {
    //         Fuck f;
    //         f.push_back(Cum{0, 0, {Shit{K, 1}}});
    //         for (int ti = 0; ti < gr[v].size(); ti++) {
    //             auto [t, w] = gr[v][ti];
    //             if (t == fr) {
    //                 continue;
    //             }
    //             auto f2 = dfs(dfs, t, v);
    //             int sum = fuck_fisting(f2, w);
    //             dp[v][ti] = sum;
    //             fuck_merge(f, f2);
    //         }
    //         return f;
    //     };
    //     dfs(dfs, i, -1);
    // }

    std::vector<int> sz(n), used(n, 0);

    auto find = [&](int v) {
        auto dfs = [&](auto dfs, int v, int f) -> void {
            sz[v] = 1;
            for (auto [t, w] : gr[v]) {
                if (t != f && !used[t]) {
                    dfs(dfs, t, v);
                    sz[v] += sz[t];
                }
            }
        };
        dfs(dfs, v, -1);
        int f = -1;
        int s = sz[v];
        while (true) {
            auto it = std::find_if(gr[v].begin(), gr[v].end(), [&](auto p) { return p.first != f && !used[p.first] && sz[p.first] > s / 2; });
            if (it == gr[v].end()) {
                break;
            } else {
                f = v;
                v = it->first;
            }
        }
        return v;
    };

    std::vector<int64_t> ans(n, 0);
    auto build = [&](auto build, int v) -> void {
        v = find(v);

        auto dfs = [&](auto dfs, int v, int fr, int cum_left, int sm = 0) -> Fuck {
            sz[v] = 1;
            Fuck f;
            f.push_back(Cum{0, 0, {Shit{K, 1, 1}}});
            for (int ti = 0; ti < gr[v].size(); ti++) {
                auto [t, w] = gr[v][ti];
                if (t == fr) {
                    dp[v][ti] += sm;
                    continue;
                }
                if (used[t]) {
                    continue;
                }

                int sum = int(cum_left - w < 0);
                // dp[v][ti] += sum;
                // ans[v] += sum;

                auto f2 = dfs(dfs, t, v, cum_left - w < 0 ? K - w : cum_left - w, sum);
                sz[v] += sz[t];
                fuck_fisting(f2, w);
                fuck_merge(f, f2);
            }
            return f;
        };

        // struct Cmp {
        //     template <typename T>
        //     bool operator()(const T& a, const T& b) const {
        //         return a.first < b.first;
        //     }
        // };

        // std::priority_queue<std::pair<std::pair<int, std::vector<int>>, Cum>> heap;
        std::priority_queue<std::pair<int, std::pair<std::vector<int>*, Cum*>>> heap;

        for (int ti = 0, xx = 0; ti < gr[v].size(); ti++) {
            auto [t, w] = gr[v][ti];
            if (used[t]) {
                continue;
            }

            Fuck f;
            f.push_back(Cum{0, 0, {}});
            xx = 1;
            auto f2 = dfs(dfs, t, v, K - w);
            int sum = fuck_fisting(f2, w);
            dp[v][ti] += sum;
            fuck_merge(f, f2);

            Cum* c = new Cum(0, 0, {});
            for (auto& c2 : f) {
                *c = cum_merge(*c, c2);
            }
            std::pair<std::vector<int>*, Cum*> ptr(new std::vector<int>{ti}, c);
            heap.push({-sz[t], ptr});
        }

        while (heap.size() > 1) {
            auto [sz1, p1] = heap.top();
            heap.pop();
            auto [sz2, p2] = heap.top();
            heap.pop();

            auto [ti1, c1] = p1;
            auto [ti2, c2] = p2;

            auto dfs = [&](auto dfs, int v, int f, int fw, int f_id, Cum& c) -> void {
                auto [fisting, sum] = cum_fisting(c, fw);
                // dp[f][f_id] += sum;
                for (int ti = 0; ti < gr[v].size(); ti++) {
                    auto [t, w] = gr[v][ti];
                    if (t == f) {
                        dp[v][ti] += sum;
                        continue;
                    }
                    if (used[t]) {
                        continue;
                    }
                    dfs(dfs, t, v, w, ti, c);
                }
                cum_reverse_fisting(c, fw, fisting);
            };

            for (auto ti : *ti1) {
                dfs(dfs, gr[v][ti].first, v, gr[v][ti].second, ti, *c2);
            }
            for (auto ti : *ti2) {
                dfs(dfs, gr[v][ti].first, v, gr[v][ti].second, ti, *c1);
            }

            *c1 = cum_merge(*c1, *c2);
            ti1->insert(ti1->end(), ti2->begin(), ti2->end());
            heap.push({sz1 + sz2, {ti1, c1}});
        }

        used[v] = true;
        for (auto [t, w] : gr[v]) {
            if (!used[t]) {
                build(build, t);
            }
        }
    };

    build(build, 0);

    for (int v = 0; v < n; v++) {
        for (int ti = 0; ti < gr[v].size(); ti++) {
            auto [t, w] = gr[v][ti];
            ans[t] += int64_t(dp[v][ti]) * get_sb_sz(t, v);
        }
    }

    for (int i = 0; i < n; i++) {
        std::cout << ans[i] << "\n\n"[i == n - 1];
    }

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 18
Accepted

Test #1:

score: 18
Accepted
time: 0ms
memory: 3936kb

input:

750 918
159 63 18
573 310 105
135 400 57
618 27 113
41 265 24
99 576 61
242 85 109
490 88 0
626 721 0
407 446 0
78 644 124
346 198 17
541 504 147
543 423 24
302 450 25
397 344 80
129 607 76
474 59 140
30 10 29
375 260 1
404 81 0
658 695 153
450 100 92
532 249 10
597 151 133
739 714 0
212 345 85
558 ...

output:

0
96
45
94
0
0
0
0
0
146
0
0
0
20
32
0
0
88
18
0
2
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10
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42
52
0
0
140
81
114
0
0
27
60
30
76
0
43
0
0
75
2...

result:

ok 750 lines

Test #2:

score: 18
Accepted
time: 2ms
memory: 4240kb

input:

967 334
285 176 1
648 431 1
493 893 2
261 165 1
158 512 2
675 881 1
232 200 2
452 380 2
961 35 1
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860 1 2
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227 122 1
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214 924 1
4 381 2
394 703 2
859 611 2
63 688 1
197 674 1
59...

output:

0
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...

result:

ok 967 lines

Test #3:

score: 18
Accepted
time: 2ms
memory: 3996kb

input:

1000 963
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23 519 951
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821 385 792
194 221 882
18 984 910
115 40 155
558 973 126
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74 339 432
259 385 243
93 973 961
640 385 531
614 325 839
823 936 691
159 240 184
40 625 891
692 385 331
196 140 1...

output:

0
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1989...

result:

ok 1000 lines

Test #4:

score: 18
Accepted
time: 3ms
memory: 4160kb

input:

1000 396
412 257 190
290 965 25
399 938 174
980 459 117
874 575 124
386 912 40
666 164 124
97 680 49
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507 319 159
333 287 101
127 682 118
48 784 34
708 170 0
142 723 148
836 766 185
277 711 188
512 974 68
658 404 136
95...

output:

215160
138947
196491
47632
103775
128657
26093
195362
2694
0
234548
3952
120001
175260
489004
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440
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9054
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102833
9701
218081
1463
999
433548
7728
4935
882
817
87200
36...

result:

ok 1000 lines

Test #5:

score: 18
Accepted
time: 3ms
memory: 4348kb

input:

1000 333
896 853 0
28 756 0
658 183 0
488 17 0
475 283 0
587 6 0
979 607 0
918 95 0
247 848 0
799 23 0
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33...

output:

0
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...

result:

ok 1000 lines

Test #6:

score: 18
Accepted
time: 0ms
memory: 3672kb

input:

2 31
0 1 31

output:

0
0

result:

ok 2 lines

Test #7:

score: 18
Accepted
time: 0ms
memory: 4032kb

input:

1000 847
24 298 474
208 141 485
789 89 60
1 809 437
936 670 449
254 938 364
796 766 340
114 453 609
656 474 374
522 795 378
80 518 279
220 648 619
643 924 191
267 499 288
483 382 643
270 949 816
284 146 481
861 706 686
103 642 631
626 136 294
642 687 407
30 253 603
149 923 502
396 637 762
0 715 67
5...

output:

16
1080
1966
5980
1856
0
5980
0
0
0
0
0
0
0
0
1992
4702
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0
968
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1215
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6980
1302
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23237
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0
1996
0
0
0
0
1996
19...

result:

ok 1000 lines

Test #8:

score: 18
Accepted
time: 2ms
memory: 4024kb

input:

1000 767
476 799 361
271 239 215
447 941 269
219 664 600
904 6 264
154 82 98
711 836 437
7 75 381
922 557 741
61 413 505
87 839 548
389 87 504
634 81 393
428 214 8
812 243 511
492 17 761
765 29 129
617 879 355
251 267 554
8 21 380
505 443 235
427 97 416
678 666 313
342 93 397
145 614 179
991 113 322...

output:

1017
997
3988
1996
0
0
2
0
0
971
1996
1996
0
2983
0
1996
19530
13742
0
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13888
5015
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997
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996
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78
1996
0
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7948
1
6
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3
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997
1996
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75588
51097
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40284
91174
1996
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26
11
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112650
1996
1996
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0
12837
0
31468
0
0
0
2967
159
0
9940
0
0
40883
1000...

result:

ok 1000 lines

Test #9:

score: 18
Accepted
time: 0ms
memory: 4272kb

input:

1000 1000
574 351 479
444 634 559
531 70 113
180 828 194
123 521 790
295 646 79
539 462 598
362 736 541
673 23 185
363 906 34
859 258 777
921 726 216
504 760 725
787 64 629
314 245 98
412 361 306
636 841 287
40 818 247
674 267 783
838 903 50
175 509 177
96 46 8
56 775 113
117 762 45
511 718 69
527 4...

output:

17839
4922
3988
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0
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1996
1996
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2938
958
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11
17
4927
3994
0
0
3957
2968
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1872...

result:

ok 1000 lines

Test #10:

score: 18
Accepted
time: 2ms
memory: 4060kb

input:

1000 1000
680 881 340
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output:

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result:

ok 1000 lines

Test #11:

score: 18
Accepted
time: 2ms
memory: 3924kb

input:

1000 1000
164 378 963
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output:

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0...

result:

ok 1000 lines

Test #12:

score: 18
Accepted
time: 1ms
memory: 4548kb

input:

1000 537
276 155 470
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output:

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...

result:

ok 1000 lines

Subtask #2:

score: 8
Accepted

Test #13:

score: 8
Accepted
time: 0ms
memory: 3576kb

input:

2 1
0 1 1

output:

0
0

result:

ok 2 lines

Test #14:

score: 8
Accepted
time: 479ms
memory: 42628kb

input:

70000 1
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output:

2128187656
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2324936140
630135880
1489088716...

result:

ok 70000 lines

Subtask #3:

score: 10
Accepted

Dependency #2:

100%
Accepted

Test #15:

score: 10
Accepted
time: 490ms
memory: 36852kb

input:

70000 517272873
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28239 56484 253183094
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38668 21...

output:

450859
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0
866072172
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90962902...

result:

ok 70000 lines

Test #16:

score: 10
Accepted
time: 490ms
memory: 51964kb

input:

70000 611016790
21272 16063 50360
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output:

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...

result:

ok 70000 lines

Subtask #4:

score: 12
Accepted

Test #17:

score: 12
Accepted
time: 329ms
memory: 32548kb

input:

69973 4
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output:

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10391...

result:

ok 69973 lines

Test #18:

score: 12
Accepted
time: 504ms
memory: 36684kb

input:

70000 6
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output:

95678
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90424...

result:

ok 70000 lines

Test #19:

score: 12
Accepted
time: 485ms
memory: 51160kb

input:

70000 10
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output:

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result:

ok 70000 lines

Test #20:

score: 12
Accepted
time: 0ms
memory: 3640kb

input:

2 6
0 1 6

output:

0
0

result:

ok 2 lines

Test #21:

score: 12
Accepted
time: 313ms
memory: 28464kb

input:

70000 10
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output:

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279990...

result:

ok 70000 lines

Test #22:

score: 12
Accepted
time: 315ms
memory: 28512kb

input:

70000 10
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output:

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result:

ok 70000 lines

Test #23:

score: 12
Accepted
time: 314ms
memory: 28512kb

input:

70000 10
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output:

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16493...

result:

ok 70000 lines

Subtask #5:

score: 17
Accepted

Dependency #4:

100%
Accepted

Test #24:

score: 17
Accepted
time: 228ms
memory: 35924kb

input:

70000 7
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output:

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2441897...

result:

ok 70000 lines

Test #25:

score: 17
Accepted
time: 222ms
memory: 29796kb

input:

70000 7
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output:

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13999...

result:

ok 70000 lines

Test #26:

score: 17
Accepted
time: 227ms
memory: 30084kb

input:

70000 4
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output:

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36...

result:

ok 70000 lines

Test #27:

score: 17
Accepted
time: 235ms
memory: 29816kb

input:

70000 10
41642 65096 7
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output:

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result:

ok 70000 lines

Test #28:

score: 17
Accepted
time: 216ms
memory: 29704kb

input:

70000 10
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output:

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result:

ok 70000 lines

Test #29:

score: 17
Accepted
time: 234ms
memory: 29744kb

input:

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output:

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result:

ok 70000 lines

Test #30:

score: 17
Accepted
time: 118ms
memory: 58200kb

input:

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output:

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result:

ok 70000 lines

Subtask #6:

score: 35
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Test #31:

score: 35
Accepted
time: 316ms
memory: 45332kb

input:

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output:

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result:

ok 67845 lines

Test #32:

score: 35
Accepted
time: 236ms
memory: 36308kb

input:

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result:

ok 70000 lines

Test #33:

score: 35
Accepted
time: 232ms
memory: 29404kb

input:

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output:

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result:

ok 70000 lines

Test #34:

score: 35
Accepted
time: 218ms
memory: 29256kb

input:

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output:

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result:

ok 70000 lines

Test #35:

score: 35
Accepted
time: 242ms
memory: 40536kb

input:

70000 1000000000
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result:

ok 70000 lines

Test #36:

score: 35
Accepted
time: 228ms
memory: 40772kb

input:

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result:

ok 70000 lines

Test #37:

score: 35
Accepted
time: 204ms
memory: 40740kb

input:

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result:

ok 70000 lines

Test #38:

score: 35
Accepted
time: 117ms
memory: 59344kb

input:

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result:

ok 70000 lines

Extra Test:

score: 0
Extra Test Passed