oj.uz

Submission #898713

# Submission time Handle Problem Language Result Execution time Memory
898713 2024-01-05T03:56:45 Z GrandTiger1729 Joker (BOI20_joker) C++17
100 / 100
 384 ms 11056 KB 
#include <bits/stdc++.h>
using namespace std;

struct DSU
{
    vector<int> rt, sz;
    vector<int> stk;
    DSU(int n)
    {
        rt.resize(n);
        iota(rt.begin(), rt.end(), 0);
        sz.resize(n, 1);
    }
    int find(int u)
    {
        if (u == rt[u])
        {
            return u;
        }
        return find(rt[u]);
    }
    bool same(int u, int v)
    {
        return find(u) == find(v);
    }
    void unite(int u, int v)
    {
        u = find(u), v = find(v);
        if (u == v)
        {
            stk.push_back(-1);
            return;
        }
        if (sz[u] > sz[v])
        {
            swap(u, v);
        }
        rt[u] = v;
        sz[v] += sz[u];
        stk.push_back(u);
    }
    void undo()
    {
        int u = stk.back();
        stk.pop_back();
        if (u == -1)
        {
            return;
        }
        int v = rt[u];
        sz[v] -= sz[u];
        rt[u] = u;
    }
};

const int B = 21, C = 450, D = 21;
int main()
{
    cin.tie(0)->sync_with_stdio(0);
    int n, m, q;
    cin >> n >> m >> q;
    vector<pair<int, int>> ed(m);
    for (int i = 0; i < m; i++)
    {
        int u, v;
        cin >> u >> v;
        u--, v--;
        ed[i] = make_pair(u, v);
    }
    vector<int> rr(m, -1);
    DSU dsu(2 * n);
    for (int c = 0; c * C * B < m; c++)
    {
        int L1 = c * C * B, L2 = min(m, (c + 1) * C * B);
        int R = -1;
        for (int i = 0; i < L1; i++)
        {
            auto [u, v] = ed[i];
            dsu.unite(u, v + n);
            dsu.unite(u + n, v);
            if (dsu.same(u, v))
            {
                R = i;
                break;
            }
        }
        if (R != -1)
        {
            break;
        }
        for (int i = L1; i < L2; i++)
        {
            auto [u, v] = ed[i];
            dsu.unite(u, v + n);
            dsu.unite(u + n, v);
            if (dsu.same(u, v))
            {
                R = i;
                break;
            }
        }
        if (R == -1)
        {
            R = m - 1;
            while (R >= L2)
            {
                auto [u, v] = ed[R];
                dsu.unite(u, v + n);
                dsu.unite(u + n, v);
                if (dsu.same(u, v))
                {
                    dsu.undo();
                    dsu.undo();
                    break;
                }
                R--;
            }
            for (int i = m - 1; i > R; i--)
            {
                dsu.undo();
                dsu.undo();
            }
            for (int i = L1; i < L2; i++)
            {
                dsu.undo();
                dsu.undo();
            }
        }
        else
        {
            for (int i = L1; i <= R; i++)
            {
                dsu.undo();
                dsu.undo();
            }
            R = m - 1;
        }
        for (int i = m - 1; i > R; i--)
        {
            auto [u, v] = ed[i];
            dsu.unite(u, v + n);
            dsu.unite(u + n, v);
        }
        for (int d = (L2 - 1 - L1) / (B * D); d >= 0; d--)
        {
            int ll1 = L1 + d * B * D, ll2 = min(L2, ll1 + B * D);
            int r2 = -1;
            for (int i = L1; i < ll1; i++)
            {
                auto [u, v] = ed[i];
                dsu.unite(u, v + n);
                dsu.unite(u + n, v);
                if (dsu.same(u, v))
                {
                    r2 = i;
                    break;
                }
            }
            if (r2 != -1)
            {
                for (int i = L1; i <= r2; i++)
                {
                    dsu.undo();
                    dsu.undo();
                }
                continue;
            }
            int ll3 = ll2 - 1;
            for (int i = ll1; i < ll2; i++)
            {
                auto [u, v] = ed[i];
                dsu.unite(u, v + n);
                dsu.unite(u + n, v);
                if (dsu.same(u, v))
                {
                    ll3 = i;
                    break;
                }
            }
            r2 = R;
            for (int b = (ll3 - ll1) / B; b >= 0; b--)
            {
                int l1 = ll1 + b * B, l2 = min(ll3 + 1, l1 + B);
                for (int i = l1; i < l2; i++)
                {
                    dsu.undo();
                    dsu.undo();
                }
                for (int i = R; i > r2; i--)
                {
                    auto [u, v] = ed[i];
                    dsu.unite(u, v + n);
                    dsu.unite(u + n, v);
                }
                int r = r2;
                bool f = 0;
                for (int i = r; i >= l1; i--)
                {
                    int l = l1;
                    while (l < l2 && l <= i)
                    {
                        auto [u, v] = ed[l];
                        dsu.unite(u, v + n);
                        dsu.unite(u + n, v);
                        if (dsu.same(u, v))
                        {
                            break;
                        }
                        l++;
                    }
                    rr[i] = max(rr[i], l);
                    l = min(l, l2 - 1);
                    l = min(l, i);
                    for (int j = l1; j <= l; j++)
                    {
                        dsu.undo();
                        dsu.undo();
                    }
                    auto [u, v] = ed[i];
                    dsu.unite(u, v + n);
                    dsu.unite(u + n, v);
                    if (dsu.same(u, v))
                    {
                        r2 = i;
                        f = 1;
                        break;
                    }
                }
                if (!f)
                {
                    r2 = l1;
                }
                for (int i = r2; i <= R; i++)
                {
                    dsu.undo();
                    dsu.undo();
                }
            }
            for (int i = L1; i < ll1; i++)
            {
                dsu.undo();
                dsu.undo();
            }
            for (int i = r2 + 1; i <= R; i++)
            {
                auto [u, v] = ed[i];
                dsu.unite(u, v + n);
                dsu.unite(u + n, v);
            }
            R = r2;
        }
        while (dsu.stk.size())
        {
            dsu.undo();
        }
    }
    while (q--)
    {
        int l, r;
        cin >> l >> r;
        l--, r--;
        cout << (rr[r] >= l ? "NO" : "YES") << '\n';
    }
    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 2 ms 464 KB Output is correct
35 Correct 2 ms 344 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 2 ms 580 KB Output is correct
38 Correct 2 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 2 ms 348 KB Output is correct
44 Correct 2 ms 464 KB Output is correct
45 Correct 1 ms 600 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 468 KB Output is correct
49 Correct 2 ms 348 KB Output is correct
50 Correct 2 ms 508 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 1 ms 344 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 464 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 154 ms 8100 KB Output is correct
4 Correct 383 ms 10056 KB Output is correct
5 Correct 172 ms 10320 KB Output is correct
6 Correct 138 ms 7984 KB Output is correct
7 Correct 128 ms 8192 KB Output is correct
8 Correct 182 ms 7228 KB Output is correct
9 Correct 198 ms 8104 KB Output is correct
10 Correct 220 ms 9676 KB Output is correct
11 Correct 177 ms 7884 KB Output is correct
12 Correct 205 ms 9424 KB Output is correct
13 Correct 184 ms 6572 KB Output is correct
14 Correct 190 ms 7456 KB Output is correct
15 Correct 223 ms 8652 KB Output is correct
16 Correct 225 ms 9688 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 154 ms 8100 KB Output is correct
30 Correct 383 ms 10056 KB Output is correct
31 Correct 172 ms 10320 KB Output is correct
32 Correct 138 ms 7984 KB Output is correct
33 Correct 128 ms 8192 KB Output is correct
34 Correct 182 ms 7228 KB Output is correct
35 Correct 198 ms 8104 KB Output is correct
36 Correct 220 ms 9676 KB Output is correct
37 Correct 177 ms 7884 KB Output is correct
38 Correct 205 ms 9424 KB Output is correct
39 Correct 184 ms 6572 KB Output is correct
40 Correct 190 ms 7456 KB Output is correct
41 Correct 223 ms 8652 KB Output is correct
42 Correct 225 ms 9688 KB Output is correct
43 Correct 168 ms 8148 KB Output is correct
44 Correct 384 ms 10448 KB Output is correct
45 Correct 361 ms 10712 KB Output is correct
46 Correct 117 ms 8140 KB Output is correct
47 Correct 129 ms 8100 KB Output is correct
48 Correct 206 ms 8008 KB Output is correct
49 Correct 226 ms 9964 KB Output is correct
50 Correct 191 ms 7884 KB Output is correct
51 Correct 185 ms 9052 KB Output is correct
52 Correct 207 ms 9928 KB Output is correct
53 Correct 183 ms 6836 KB Output is correct
54 Correct 196 ms 7856 KB Output is correct
55 Correct 215 ms 8920 KB Output is correct
56 Correct 229 ms 10052 KB Output is correct

Subtask #5
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 2 ms 464 KB Output is correct
35 Correct 2 ms 344 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 2 ms 580 KB Output is correct
38 Correct 2 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 2 ms 348 KB Output is correct
44 Correct 2 ms 464 KB Output is correct
45 Correct 1 ms 600 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 468 KB Output is correct
49 Correct 2 ms 348 KB Output is correct
50 Correct 2 ms 508 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 1 ms 344 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 464 KB Output is correct
55 Correct 140 ms 6864 KB Output is correct
56 Correct 356 ms 9432 KB Output is correct
57 Correct 144 ms 9316 KB Output is correct
58 Correct 93 ms 6864 KB Output is correct
59 Correct 166 ms 6872 KB Output is correct
60 Correct 206 ms 7904 KB Output is correct
61 Correct 156 ms 7068 KB Output is correct
62 Correct 184 ms 8140 KB Output is correct
63 Correct 144 ms 5836 KB Output is correct
64 Correct 186 ms 7380 KB Output is correct
65 Correct 214 ms 8144 KB Output is correct

Subtask #6
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 2 ms 464 KB Output is correct
35 Correct 2 ms 344 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 2 ms 580 KB Output is correct
38 Correct 2 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 2 ms 348 KB Output is correct
44 Correct 2 ms 464 KB Output is correct
45 Correct 1 ms 600 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 468 KB Output is correct
49 Correct 2 ms 348 KB Output is correct
50 Correct 2 ms 508 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 1 ms 344 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 1 ms 464 KB Output is correct
55 Correct 154 ms 8100 KB Output is correct
56 Correct 383 ms 10056 KB Output is correct
57 Correct 172 ms 10320 KB Output is correct
58 Correct 138 ms 7984 KB Output is correct
59 Correct 128 ms 8192 KB Output is correct
60 Correct 182 ms 7228 KB Output is correct
61 Correct 198 ms 8104 KB Output is correct
62 Correct 220 ms 9676 KB Output is correct
63 Correct 177 ms 7884 KB Output is correct
64 Correct 205 ms 9424 KB Output is correct
65 Correct 184 ms 6572 KB Output is correct
66 Correct 190 ms 7456 KB Output is correct
67 Correct 223 ms 8652 KB Output is correct
68 Correct 225 ms 9688 KB Output is correct
69 Correct 168 ms 8148 KB Output is correct
70 Correct 384 ms 10448 KB Output is correct
71 Correct 361 ms 10712 KB Output is correct
72 Correct 117 ms 8140 KB Output is correct
73 Correct 129 ms 8100 KB Output is correct
74 Correct 206 ms 8008 KB Output is correct
75 Correct 226 ms 9964 KB Output is correct
76 Correct 191 ms 7884 KB Output is correct
77 Correct 185 ms 9052 KB Output is correct
78 Correct 207 ms 9928 KB Output is correct
79 Correct 183 ms 6836 KB Output is correct
80 Correct 196 ms 7856 KB Output is correct
81 Correct 215 ms 8920 KB Output is correct
82 Correct 229 ms 10052 KB Output is correct
83 Correct 140 ms 6864 KB Output is correct
84 Correct 356 ms 9432 KB Output is correct
85 Correct 144 ms 9316 KB Output is correct
86 Correct 93 ms 6864 KB Output is correct
87 Correct 166 ms 6872 KB Output is correct
88 Correct 206 ms 7904 KB Output is correct
89 Correct 156 ms 7068 KB Output is correct
90 Correct 184 ms 8140 KB Output is correct
91 Correct 144 ms 5836 KB Output is correct
92 Correct 186 ms 7380 KB Output is correct
93 Correct 214 ms 8144 KB Output is correct
94 Correct 166 ms 8656 KB Output is correct
95 Correct 320 ms 11056 KB Output is correct
96 Correct 188 ms 10748 KB Output is correct
97 Correct 122 ms 8732 KB Output is correct
98 Correct 127 ms 8648 KB Output is correct
99 Correct 207 ms 8196 KB Output is correct
100 Correct 180 ms 10320 KB Output is correct
101 Correct 169 ms 8388 KB Output is correct
102 Correct 185 ms 9608 KB Output is correct
103 Correct 209 ms 10400 KB Output is correct
104 Correct 177 ms 7536 KB Output is correct
105 Correct 222 ms 9052 KB Output is correct
106 Correct 229 ms 9984 KB Output is correct
107 Correct 127 ms 10824 KB Output is correct
108 Correct 166 ms 8424 KB Output is correct
109 Correct 160 ms 8408 KB Output is correct
110 Correct 158 ms 8400 KB Output is correct
111 Correct 161 ms 8400 KB Output is correct
112 Correct 168 ms 8332 KB Output is correct
113 Correct 162 ms 8396 KB Output is correct
114 Correct 157 ms 8400 KB Output is correct
115 Correct 160 ms 8396 KB Output is correct
116 Correct 159 ms 8348 KB Output is correct