QOJ.ac

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
#641813#7993. 哈密顿FlandreWA 107ms8664kbC++172.8kb2024-10-15 00:13:252024-10-15 00:13:25

Judging History

你现在查看的是最新测评结果

  • [2024-10-15 00:13:25]
  • 评测
  • 测评结果:WA
  • 用时:107ms
  • 内存:8664kb
  • [2024-10-15 00:13:25]
  • 提交

answer

#include <bits/stdc++.h>

using i64 = int64_t;
constexpr int MAXN = 2e5 + 19;

struct BIT {
    int n;
    std::vector<int> tr;
    explicit BIT(int n) : n(n), tr(n + 1) {}
    void update(int x, int k) {
        for (; x <= n; x += x & -x) {
            tr[x] += k;
        }
    }
    int query(int rk) {
        int now = 0, tot = 0;
        for (int i = 20; i >= 0; --i) {
            if (now + (1 << i) <= n && tot + tr[now + (1 << i)] < rk) {
                now += 1 << i;
                tot += tr[now];
            }
        }
        return now + 1;
    }
};

struct DSU {
    std::vector<int> fa;
    explicit DSU(int n) : fa(n) {
        std::iota(fa.begin(), fa.end(), 0);
    }
    int find(int x) {
        return fa[x] == x ? x : fa[x] = find(fa[x]);
    }
    void merge(int x, int y) {
        x = find(x);
        y = find(y);
        if (x != y) {
            fa[x] = y;
        }
    }
};

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int n;
    std::cin >> n;

    std::vector<std::pair<int, int>> p(n);
    std::vector<int> a;
    for (int i = 0; i < n; ++i) {
        auto &[x, y] = p[i];
        std::cin >> x >> y;
    }

    auto work = [&](std::vector<std::pair<int, int>> p) {
        for (auto [x, y] : p) {
            a.push_back(x);
            a.push_back(y);
        }
        std::sort(a.begin(), a.end());
        std::vector<uint8_t> type(n * 2 + 1);
        DSU dsu(n * 2 + 1);
        for (auto [x, y] : p) {
            x = std::lower_bound(a.begin(), a.end(), x) - a.begin() + 1;
            y = std::lower_bound(a.begin(), a.end(), y) - a.begin() + 1;
            type[x] = 1;
            type[y] = 0;
            dsu.merge(x, y);
        }

        std::vector<uint8_t> used(n * 2 + 1);
        std::array<BIT, 2> mt{BIT{n * 2}, BIT{n * 2}};
        for (int i = 1; i <= n * 2; ++i) {
            mt[type[i]].update(i, 1);
        }

        i64 ans = 0;
        int paired = 0;
        for (int i = n * 2; i >= 1; --i) {
            if (used[i]) {
                continue;
            }
            ++paired;

            int x = mt[type[i] ^ 1].query(1);
            if (paired != n && dsu.find(x) == dsu.find(i)) {
                x = mt[type[i] ^ 1].query(2);
                assert(!used[x]);
            }

            used[i] = true;
            mt[type[i]].update(i, -1);
            used[x] = true;
            mt[type[x]].update(x, -1);

            dsu.merge(i, x);

            assert(type[i] != type[x]);

            ans += a[i - 1] - a[x - 1];
        }
        assert(paired == n);

        return ans;
    };

    i64 ans = work(p);
    for (auto &[x, y] : p) {
        x = -x, y = -y;
    }
    ans = std::max(ans, work(p));

    std::cout << ans << '\n';
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3600kb

input:

3
1 10
8 2
4 5

output:

10

result:

ok single line: '10'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

2
732734236 669531729
368612323 916696032

output:

484881202

result:

ok single line: '484881202'

Test #3:

score: 0
Accepted
time: 105ms
memory: 8664kb

input:

96739
960257511 790393830
766983782 374475134
476482176 529858300
310917487 76906076
81191659 653180897
119832756 362638666
228783015 626981197
74837554 781854003
663345706 153150021
576244413 708232220
842559077 417230462
249522463 815253339
391663517 742521049
60507117 258429449
112143256 81408991...

output:

48459768018811

result:

ok single line: '48459768018811'

Test #4:

score: -100
Wrong Answer
time: 107ms
memory: 8652kb

input:

96785
270111821 467151412
338110212 587493839
880232679 190826309
757074784 388758646
266705411 248083736
932249293 549449409
813345622 128324633
997551674 739367275
118482916 584132988
530659142 718566145
843527299 299368287
351399254 123105310
94363217 996225281
372809651 824469842
227112349 94127...

output:

48406205347496

result:

wrong answer 1st lines differ - expected: '48406205356958', found: '48406205347496'