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답안 #768690

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
768690 2023-06-28T12:02:25 Z jakobrs Joker (BOI20_joker) C++17
100 / 100
 1625 ms 10908 KB 
#pragma GCC optimize("O3")

#include <algorithm>
#include <iostream>
#include <vector>

using i64 = int64_t;
using i32 = int32_t;

struct Operation {
    i32 l1, r1;
};

constexpr i64 root(i64 n) {
    i64 i = 0;
    for (; i * i <= n; i++)
        ;
    return i - 1;
}

class UnionFind {
    std::vector<i32> parent;
    std::vector<i32> sizes;
    std::vector<bool> edge_parity;

    std::vector<Operation> operations;

   public:
    UnionFind(size_t sz)
        : parent(sz, -1), sizes(sz, 1), edge_parity(sz, false), operations() {}

    template <bool PATH_COMPRESSION>
    i32 find(i32 idx) {
        if (parent[idx] < 0)
            return idx;
        else if constexpr (PATH_COMPRESSION) {
            i64 root = find<PATH_COMPRESSION>(parent[idx]);
            edge_parity[idx] = edge_parity[idx] ^ edge_parity[parent[idx]];
            return parent[idx] = root;
        } else
            return find<PATH_COMPRESSION>(parent[idx]);
    }

    bool parity(i32 idx) {
        if (parent[idx] < 0)
            return false;
        else
            return parity(parent[idx]) ^ edge_parity[idx];
    }

    template <bool PATH_COMPRESSION>
    std::pair<i32, bool> both(i32 idx) {
        if constexpr (PATH_COMPRESSION) {
            return {find<true>(idx), parity(idx)};
        } else {
            // in this case there's an easy iterative version
            bool parity = false;

            while (parent[idx] >= 0) {
                parity = parity ^ edge_parity[idx];
                idx = parent[idx];
            }

            return {idx, parity};
        }
    }

    template <bool PATH_COMPRESSION>
    bool lag_fagforening(i32 l, i32 r) {
        auto [l1, lp] = both<PATH_COMPRESSION>(l);
        auto [r1, rp] = both<PATH_COMPRESSION>(r);

        operations.push_back({
            .l1 = l1,
            .r1 = r1,
        });

        if (l1 == r1) {
            return lp != rp;
        } else {
            if (sizes[l1] < sizes[r1]) {
                std::swap(l1, r1);
                std::swap(lp, rp);
            }

            sizes[l1] += sizes[r1];
            parent[r1] = l1;

            edge_parity[r1] = 1 ^ lp ^ rp;

            return true;
        }
    }

    void tvungen_lønnsnemnd() {
        auto [l1, r1] = operations.back();
        operations.pop_back();

        if (parent[r1] == l1) {
            parent[r1] = -1;
            sizes[l1] -= sizes[r1];
        } else if (parent[l1] == r1) {
            parent[l1] = -1;
            sizes[r1] -= sizes[l1];
        }

        edge_parity[l1] = edge_parity[r1] = false;
    }
};

struct {
    template <typename T>
    operator T() const {
        T x;
        std::cin >> x;
        return x;
    }
} in;

#define entire(v) std::begin(v), std::end(v)

#pragma GCC diagnostic ignored "-Wreturn-type"

main() {
    std::cin.tie(nullptr)->sync_with_stdio(false);

    i32 n, m, q;
    std::cin >> n >> m >> q;

    std::vector<std::pair<i32, i32>> edges(m);
    for (i32 i = 0; i < m; i++) {
        edges[i] = {(i32)in - 1, (i32)in - 1};
    }

    UnionFind dsu(n);

    static constexpr i32 root_m = 1024;

    struct Query {
        i32 l, r, i;
    };

    std::vector<Query> queries(q);
    for (i32 i = 0; i < q; i++) queries[i] = {(i32)in - 1, (i32)in, i};

    std::sort(entire(queries), [](auto &&lhs, auto &&rhs) {
        return std::pair<i32, i32>{lhs.l / root_m, -lhs.r} <
               std::pair<i32, i32>{rhs.l / root_m, -rhs.r};
    });

    std::vector<bool> answers(q);

    i32 l = 0;
    i32 r = 0;

    bool is_bipartite_left = true;
    for (i32 start = 0; start < m && is_bipartite_left; start += root_m) {
        while (r < q && queries[r].l < start + root_m) r++;

        bool is_bipartite_right = true;
        i32 w = m;
        for (; l < r && is_bipartite_right; l++) {
            for (; w > queries[l].r && is_bipartite_right; w--)
                is_bipartite_right &= dsu.lag_fagforening<false>(edges[w - 1].first, edges[w - 1].second);

            if (!is_bipartite_right) break;

            bool is_bipartite = true;
            i32 g = start;
            for (; g < queries[l].l && is_bipartite; g++)
                is_bipartite &= dsu.lag_fagforening<false>(edges[g].first, edges[g].second);

            answers[queries[l].i] = is_bipartite;

            for (i32 u = start; u < g; u++) dsu.tvungen_lønnsnemnd();
        }

        for (; l < r; l++)
            answers[queries[l].i] = false;

        for (i32 x = w; x < m; x++) dsu.tvungen_lønnsnemnd();

        for (i32 y = start; y < start + root_m && y < m; y++)
            is_bipartite_left &= dsu.lag_fagforening<true>(edges[y].first, edges[y].second);
    }

    for (; l < q; l++)
        answers[queries[l].i] = false;

    for (auto x : answers) {
        std::cout << (x ? "NO\n" : "YES\n");
    }
}

Subtask #1
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 268 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 268 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 10 ms 340 KB Output is correct
30 Correct 6 ms 340 KB Output is correct
31 Correct 5 ms 340 KB Output is correct
32 Correct 4 ms 340 KB Output is correct
33 Correct 3 ms 340 KB Output is correct
34 Correct 4 ms 340 KB Output is correct
35 Correct 6 ms 340 KB Output is correct
36 Correct 5 ms 340 KB Output is correct
37 Correct 9 ms 404 KB Output is correct
38 Correct 10 ms 340 KB Output is correct
39 Correct 8 ms 340 KB Output is correct
40 Correct 4 ms 340 KB Output is correct
41 Correct 5 ms 380 KB Output is correct
42 Correct 5 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 340 KB Output is correct
46 Correct 3 ms 340 KB Output is correct
47 Correct 7 ms 380 KB Output is correct
48 Correct 5 ms 340 KB Output is correct
49 Correct 6 ms 340 KB Output is correct
50 Correct 5 ms 400 KB Output is correct
51 Correct 5 ms 376 KB Output is correct
52 Correct 5 ms 340 KB Output is correct
53 Correct 5 ms 340 KB Output is correct
54 Correct 6 ms 340 KB Output is correct

Subtask #3
25.0 / 25.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 69 ms 6552 KB Output is correct
4 Correct 71 ms 8152 KB Output is correct
5 Correct 85 ms 7828 KB Output is correct
6 Correct 66 ms 6472 KB Output is correct
7 Correct 65 ms 7188 KB Output is correct
8 Correct 60 ms 7004 KB Output is correct
9 Correct 74 ms 7316 KB Output is correct
10 Correct 68 ms 8128 KB Output is correct
11 Correct 69 ms 7184 KB Output is correct
12 Correct 65 ms 7828 KB Output is correct
13 Correct 63 ms 6560 KB Output is correct
14 Correct 64 ms 6876 KB Output is correct
15 Correct 75 ms 7500 KB Output is correct
16 Correct 65 ms 7988 KB Output is correct

Subtask #4
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 268 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 69 ms 6552 KB Output is correct
30 Correct 71 ms 8152 KB Output is correct
31 Correct 85 ms 7828 KB Output is correct
32 Correct 66 ms 6472 KB Output is correct
33 Correct 65 ms 7188 KB Output is correct
34 Correct 60 ms 7004 KB Output is correct
35 Correct 74 ms 7316 KB Output is correct
36 Correct 68 ms 8128 KB Output is correct
37 Correct 69 ms 7184 KB Output is correct
38 Correct 65 ms 7828 KB Output is correct
39 Correct 63 ms 6560 KB Output is correct
40 Correct 64 ms 6876 KB Output is correct
41 Correct 75 ms 7500 KB Output is correct
42 Correct 65 ms 7988 KB Output is correct
43 Correct 236 ms 7216 KB Output is correct
44 Correct 299 ms 8140 KB Output is correct
45 Correct 262 ms 8752 KB Output is correct
46 Correct 201 ms 7256 KB Output is correct
47 Correct 216 ms 7448 KB Output is correct
48 Correct 88 ms 7440 KB Output is correct
49 Correct 110 ms 8256 KB Output is correct
50 Correct 267 ms 7108 KB Output is correct
51 Correct 256 ms 7616 KB Output is correct
52 Correct 275 ms 8180 KB Output is correct
53 Correct 288 ms 6736 KB Output is correct
54 Correct 288 ms 6704 KB Output is correct
55 Correct 296 ms 7708 KB Output is correct
56 Correct 296 ms 8152 KB Output is correct

Subtask #5
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 268 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 10 ms 340 KB Output is correct
30 Correct 6 ms 340 KB Output is correct
31 Correct 5 ms 340 KB Output is correct
32 Correct 4 ms 340 KB Output is correct
33 Correct 3 ms 340 KB Output is correct
34 Correct 4 ms 340 KB Output is correct
35 Correct 6 ms 340 KB Output is correct
36 Correct 5 ms 340 KB Output is correct
37 Correct 9 ms 404 KB Output is correct
38 Correct 10 ms 340 KB Output is correct
39 Correct 8 ms 340 KB Output is correct
40 Correct 4 ms 340 KB Output is correct
41 Correct 5 ms 380 KB Output is correct
42 Correct 5 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 340 KB Output is correct
46 Correct 3 ms 340 KB Output is correct
47 Correct 7 ms 380 KB Output is correct
48 Correct 5 ms 340 KB Output is correct
49 Correct 6 ms 340 KB Output is correct
50 Correct 5 ms 400 KB Output is correct
51 Correct 5 ms 376 KB Output is correct
52 Correct 5 ms 340 KB Output is correct
53 Correct 5 ms 340 KB Output is correct
54 Correct 6 ms 340 KB Output is correct
55 Correct 157 ms 4420 KB Output is correct
56 Correct 685 ms 5888 KB Output is correct
57 Correct 46 ms 5684 KB Output is correct
58 Correct 37 ms 4112 KB Output is correct
59 Correct 76 ms 4800 KB Output is correct
60 Correct 138 ms 5016 KB Output is correct
61 Correct 97 ms 4572 KB Output is correct
62 Correct 170 ms 5256 KB Output is correct
63 Correct 44 ms 3580 KB Output is correct
64 Correct 104 ms 4820 KB Output is correct
65 Correct 190 ms 5196 KB Output is correct

Subtask #6
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 268 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 10 ms 340 KB Output is correct
30 Correct 6 ms 340 KB Output is correct
31 Correct 5 ms 340 KB Output is correct
32 Correct 4 ms 340 KB Output is correct
33 Correct 3 ms 340 KB Output is correct
34 Correct 4 ms 340 KB Output is correct
35 Correct 6 ms 340 KB Output is correct
36 Correct 5 ms 340 KB Output is correct
37 Correct 9 ms 404 KB Output is correct
38 Correct 10 ms 340 KB Output is correct
39 Correct 8 ms 340 KB Output is correct
40 Correct 4 ms 340 KB Output is correct
41 Correct 5 ms 380 KB Output is correct
42 Correct 5 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 340 KB Output is correct
46 Correct 3 ms 340 KB Output is correct
47 Correct 7 ms 380 KB Output is correct
48 Correct 5 ms 340 KB Output is correct
49 Correct 6 ms 340 KB Output is correct
50 Correct 5 ms 400 KB Output is correct
51 Correct 5 ms 376 KB Output is correct
52 Correct 5 ms 340 KB Output is correct
53 Correct 5 ms 340 KB Output is correct
54 Correct 6 ms 340 KB Output is correct
55 Correct 69 ms 6552 KB Output is correct
56 Correct 71 ms 8152 KB Output is correct
57 Correct 85 ms 7828 KB Output is correct
58 Correct 66 ms 6472 KB Output is correct
59 Correct 65 ms 7188 KB Output is correct
60 Correct 60 ms 7004 KB Output is correct
61 Correct 74 ms 7316 KB Output is correct
62 Correct 68 ms 8128 KB Output is correct
63 Correct 69 ms 7184 KB Output is correct
64 Correct 65 ms 7828 KB Output is correct
65 Correct 63 ms 6560 KB Output is correct
66 Correct 64 ms 6876 KB Output is correct
67 Correct 75 ms 7500 KB Output is correct
68 Correct 65 ms 7988 KB Output is correct
69 Correct 236 ms 7216 KB Output is correct
70 Correct 299 ms 8140 KB Output is correct
71 Correct 262 ms 8752 KB Output is correct
72 Correct 201 ms 7256 KB Output is correct
73 Correct 216 ms 7448 KB Output is correct
74 Correct 88 ms 7440 KB Output is correct
75 Correct 110 ms 8256 KB Output is correct
76 Correct 267 ms 7108 KB Output is correct
77 Correct 256 ms 7616 KB Output is correct
78 Correct 275 ms 8180 KB Output is correct
79 Correct 288 ms 6736 KB Output is correct
80 Correct 288 ms 6704 KB Output is correct
81 Correct 296 ms 7708 KB Output is correct
82 Correct 296 ms 8152 KB Output is correct
83 Correct 157 ms 4420 KB Output is correct
84 Correct 685 ms 5888 KB Output is correct
85 Correct 46 ms 5684 KB Output is correct
86 Correct 37 ms 4112 KB Output is correct
87 Correct 76 ms 4800 KB Output is correct
88 Correct 138 ms 5016 KB Output is correct
89 Correct 97 ms 4572 KB Output is correct
90 Correct 170 ms 5256 KB Output is correct
91 Correct 44 ms 3580 KB Output is correct
92 Correct 104 ms 4820 KB Output is correct
93 Correct 190 ms 5196 KB Output is correct
94 Correct 637 ms 7372 KB Output is correct
95 Correct 1625 ms 8704 KB Output is correct
96 Correct 773 ms 8148 KB Output is correct
97 Correct 463 ms 6852 KB Output is correct
98 Correct 480 ms 6860 KB Output is correct
99 Correct 111 ms 6596 KB Output is correct
100 Correct 158 ms 7736 KB Output is correct
101 Correct 518 ms 9044 KB Output is correct
102 Correct 664 ms 10380 KB Output is correct
103 Correct 890 ms 10908 KB Output is correct
104 Correct 505 ms 8828 KB Output is correct
105 Correct 659 ms 7056 KB Output is correct
106 Correct 892 ms 9952 KB Output is correct
107 Correct 622 ms 8808 KB Output is correct
108 Correct 1144 ms 7400 KB Output is correct
109 Correct 1231 ms 9932 KB Output is correct
110 Correct 1218 ms 9936 KB Output is correct
111 Correct 1306 ms 9928 KB Output is correct
112 Correct 1307 ms 10048 KB Output is correct
113 Correct 1460 ms 9936 KB Output is correct
114 Correct 1287 ms 10044 KB Output is correct
115 Correct 1265 ms 9908 KB Output is correct
116 Correct 1268 ms 9164 KB Output is correct