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답안 #706551

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
706551 2023-03-07T02:15:27 Z becaido Jail (JOI22_jail) C++17
66 / 100
 5000 ms 26864 KB 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,popcnt,sse4,abm")
#include <bits/stdc++.h>
using namespace std;

#ifdef WAIMAI
#define debug(HEHE...) cout << "[" << #HEHE << "] : ", dout(HEHE)
void dout() {cout << '\n';}
template<typename T, typename...U>
void dout(T t, U...u) {cout << t << (sizeof...(u) ? ", " : ""), dout(u...);}
#else
#define debug(...) 7122
#endif

#define ll long long
#define Waimai ios::sync_with_stdio(false), cin.tie(0)
#define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
#define pb emplace_back
#define F first
#define S second

const int INF = 1e9;
const int SIZE = 24e4 + 5;
const int H = __lg(SIZE) + 1;

int n, m;
bool ans;
vector<int> adj[SIZE];
int s[SIZE], t[SIZE], c[SIZE];
int h[SIZE], to[SIZE][H + 1];

vector<int> g[SIZE];
int deg[SIZE];
queue<int> q;

void dfs(int pos, int fa) {
    for (int np : adj[pos]) if (np != fa) {
        h[np] = h[pos] + 1;
        to[np][0] = pos;
        dfs(np, pos);
    }
}

int jump(int pos, int k) {
    if (k < 0) return 0;
    int cnt = 0;
    while (k) {
        if (k & 1) pos = to[pos][cnt];
        cnt++;
        k >>= 1;
    }
    return pos;
}

int lca(int a, int b) {
    if (h[a] < h[b]) swap(a, b);
    a = jump(a, h[a] - h[b]);
    if (a == b) return a;
    for (int i = H; i >= 0; i--) if (to[a][i] != to[b][i]) {
        a = to[a][i];
        b = to[b][i];
    }
    return to[a][0];
}

bool on_path(int pos, int a, int c, int b) {
    return h[pos] >= h[c] && (jump(a, h[a] - h[pos]) == pos || jump(b, h[b] - h[pos]) == pos);
}

void add_edge(int a, int b) {
    g[a].pb(b);
    deg[b]++;
}

void add(int a, int b) {
    vector<int> v;
    for (int x : {s[a], t[a]}) for (int y : {s[b], t[b]}) {
        int z = lca(x, y);
        if (on_path(z, s[a], c[a], t[a]) && on_path(z, s[b], c[b], t[b])) v.pb(z);
    }
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());

    if (v.size() == 0) return;
    if (v.size() == 1) {
        int k = v[0];
        if (s[a] == k) add_edge(a, b);
        else if (s[b] == k) add_edge(b, a);
        else if (t[a] == k) add_edge(b, a);
        else if (t[b] == k) add_edge(a, b);
        return;
    }
    if (v.size() == 3) {
        int mn = h[v[0]];
        for (int x : v) mn = min(mn, h[x]);
        for (int i = 0; i < 3; i++) if (h[v[i]] == mn) {v.erase(v.begin() + i); break;}
    }

    assert(v.size() == 2);
    int k1 = v[0], k2 = v[1];
    bool isa, ita, isb, itb;
    isa = s[a] == k1 || s[a] == k2;
    ita = t[a] == k1 || t[a] == k2;
    isb = s[b] == k1 || s[b] == k2;
    itb = t[b] == k1 || t[b] == k2;

    if ((isa && ita) || (isb && itb)) {
        ans = 0;
        return;
    }

    if ((isa && isb) || (ita && itb)) {
        ans = 0;
        return;
    }

    if (isa) add_edge(a, b);
    else if (isb) add_edge(b, a);
    else if (ita) add_edge(b, a);
    else if (itb) add_edge(a, b);
}

tuple<int, int, int> p[SIZE];

void chain() {
    cin >> m;
    FOR (i, 1, m) {
        int l, r;
        cin >> l >> r;
        p[i] = {min(l, r), max(l, r), l > r};
    }
    sort(p + 1, p + m + 1);
    int last = 0, t;
    FOR (i, 1, m) {
        auto [l, r, ty] = p[i];
        if (r <= last) {
            cout << "No\n";
            return;
        }
        if (l <= last && ty != t) {
            cout << "No\n";
            return;
        }
        last = r;
        t = ty;
    }
    cout << "Yes\n";
}

void solve() {
    cin >> n;
    FOR (i, 1, n) adj[i].clear();
    bool f = 1;
    FOR (i, 2, n) {
        int a, b;
        cin >> a >> b;
        adj[a].pb(b);
        adj[b].pb(a);
        f &= a + 1 == b;
    }
    if (f) {
        chain();
        return;
    }
    h[1] = 1, dfs(1, 1);
    FOR (j, 1, H) FOR (i, 1, n) to[i][j] = to[to[i][j - 1]][j - 1];

    cin >> m;
    FOR (i, 1, m) {
        cin >> s[i] >> t[i];
        c[i] = lca(s[i], t[i]);
        g[i].clear();
        deg[i] = 0;
    }
    ans = 1;
    FOR (i, 1, m) FOR (j, i + 1, m) {
        add(i, j);
        if (!ans) {
            cout << "No\n";
            return;
        }
    }
    FOR (i, 1, m) if (!deg[i]) q.push(i);
    int cnt = 0;
    while (q.size()) {
        int pos = q.front();
        q.pop();
        cnt++;
        for (int np : g[pos]) if (--deg[np] == 0) q.push(np);
    }
    cout << (cnt == m ? "Yes" : "No") << '\n';
}

int main() {
    Waimai;
    int tt;
    cin >> tt;
    while (tt--) solve();
}

Compilation message

jail.cpp: In function 'void chain()':
jail.cpp:140:23: warning: 't' may be used uninitialized in this function [-Wmaybe-uninitialized]
  140 |         if (l <= last && ty != t) {
      |             ~~~~~~~~~~^~~~~~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 11604 KB Output is correct
2 Correct 6 ms 11604 KB Output is correct
3 Correct 7 ms 11604 KB Output is correct
4 Correct 13 ms 11620 KB Output is correct
5 Correct 20 ms 11616 KB Output is correct
6 Correct 7 ms 11604 KB Output is correct
7 Correct 7 ms 11604 KB Output is correct
8 Correct 8 ms 11604 KB Output is correct
9 Correct 23 ms 11804 KB Output is correct
10 Correct 31 ms 15256 KB Output is correct
11 Correct 10 ms 11604 KB Output is correct
12 Correct 24 ms 11608 KB Output is correct
13 Correct 37 ms 15848 KB Output is correct
14 Correct 40 ms 15840 KB Output is correct
15 Correct 50 ms 15892 KB Output is correct
16 Correct 58 ms 16744 KB Output is correct
17 Correct 41 ms 15936 KB Output is correct
18 Correct 48 ms 16672 KB Output is correct
19 Correct 40 ms 16064 KB Output is correct
20 Correct 40 ms 16044 KB Output is correct
21 Correct 40 ms 15964 KB Output is correct
22 Correct 41 ms 16100 KB Output is correct

Subtask #2
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 11604 KB Output is correct
2 Correct 7 ms 11604 KB Output is correct
3 Correct 7 ms 11520 KB Output is correct
4 Correct 7 ms 11596 KB Output is correct
5 Correct 8 ms 11672 KB Output is correct
6 Correct 8 ms 11656 KB Output is correct
7 Correct 7 ms 11604 KB Output is correct
8 Correct 7 ms 11604 KB Output is correct
9 Correct 9 ms 11600 KB Output is correct
10 Correct 7 ms 11648 KB Output is correct
11 Correct 7 ms 11604 KB Output is correct
12 Correct 8 ms 11604 KB Output is correct
13 Correct 8 ms 11604 KB Output is correct

Subtask #3
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 11604 KB Output is correct
2 Correct 7 ms 11604 KB Output is correct
3 Correct 7 ms 11520 KB Output is correct
4 Correct 7 ms 11596 KB Output is correct
5 Correct 8 ms 11672 KB Output is correct
6 Correct 8 ms 11656 KB Output is correct
7 Correct 7 ms 11604 KB Output is correct
8 Correct 7 ms 11604 KB Output is correct
9 Correct 9 ms 11600 KB Output is correct
10 Correct 7 ms 11648 KB Output is correct
11 Correct 7 ms 11604 KB Output is correct
12 Correct 8 ms 11604 KB Output is correct
13 Correct 8 ms 11604 KB Output is correct
14 Correct 6 ms 11604 KB Output is correct
15 Correct 7 ms 11604 KB Output is correct
16 Correct 7 ms 11604 KB Output is correct
17 Correct 7 ms 11604 KB Output is correct
18 Correct 9 ms 11600 KB Output is correct
19 Correct 7 ms 11604 KB Output is correct
20 Correct 8 ms 11604 KB Output is correct
21 Correct 7 ms 11604 KB Output is correct
22 Correct 8 ms 11668 KB Output is correct
23 Correct 8 ms 11604 KB Output is correct
24 Correct 7 ms 11604 KB Output is correct
25 Correct 9 ms 11604 KB Output is correct
26 Correct 7 ms 11604 KB Output is correct
27 Correct 8 ms 11668 KB Output is correct
28 Correct 7 ms 11604 KB Output is correct

Subtask #4
28.0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 11604 KB Output is correct
2 Correct 7 ms 11604 KB Output is correct
3 Correct 7 ms 11520 KB Output is correct
4 Correct 7 ms 11596 KB Output is correct
5 Correct 8 ms 11672 KB Output is correct
6 Correct 8 ms 11656 KB Output is correct
7 Correct 7 ms 11604 KB Output is correct
8 Correct 7 ms 11604 KB Output is correct
9 Correct 9 ms 11600 KB Output is correct
10 Correct 7 ms 11648 KB Output is correct
11 Correct 7 ms 11604 KB Output is correct
12 Correct 8 ms 11604 KB Output is correct
13 Correct 8 ms 11604 KB Output is correct
14 Correct 6 ms 11604 KB Output is correct
15 Correct 7 ms 11604 KB Output is correct
16 Correct 7 ms 11604 KB Output is correct
17 Correct 7 ms 11604 KB Output is correct
18 Correct 9 ms 11600 KB Output is correct
19 Correct 7 ms 11604 KB Output is correct
20 Correct 8 ms 11604 KB Output is correct
21 Correct 7 ms 11604 KB Output is correct
22 Correct 8 ms 11668 KB Output is correct
23 Correct 8 ms 11604 KB Output is correct
24 Correct 7 ms 11604 KB Output is correct
25 Correct 9 ms 11604 KB Output is correct
26 Correct 7 ms 11604 KB Output is correct
27 Correct 8 ms 11668 KB Output is correct
28 Correct 7 ms 11604 KB Output is correct
29 Correct 8 ms 11604 KB Output is correct
30 Correct 13 ms 11604 KB Output is correct
31 Correct 9 ms 11604 KB Output is correct
32 Correct 17 ms 11668 KB Output is correct
33 Correct 8 ms 11604 KB Output is correct
34 Correct 22 ms 11604 KB Output is correct
35 Correct 23 ms 11608 KB Output is correct
36 Correct 29 ms 11628 KB Output is correct
37 Correct 28 ms 11668 KB Output is correct

Subtask #5
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 11604 KB Output is correct
2 Correct 7 ms 11604 KB Output is correct
3 Correct 7 ms 11520 KB Output is correct
4 Correct 7 ms 11596 KB Output is correct
5 Correct 8 ms 11672 KB Output is correct
6 Correct 8 ms 11656 KB Output is correct
7 Correct 7 ms 11604 KB Output is correct
8 Correct 7 ms 11604 KB Output is correct
9 Correct 9 ms 11600 KB Output is correct
10 Correct 7 ms 11648 KB Output is correct
11 Correct 7 ms 11604 KB Output is correct
12 Correct 8 ms 11604 KB Output is correct
13 Correct 8 ms 11604 KB Output is correct
14 Correct 6 ms 11604 KB Output is correct
15 Correct 7 ms 11604 KB Output is correct
16 Correct 7 ms 11604 KB Output is correct
17 Correct 7 ms 11604 KB Output is correct
18 Correct 9 ms 11600 KB Output is correct
19 Correct 7 ms 11604 KB Output is correct
20 Correct 8 ms 11604 KB Output is correct
21 Correct 7 ms 11604 KB Output is correct
22 Correct 8 ms 11668 KB Output is correct
23 Correct 8 ms 11604 KB Output is correct
24 Correct 7 ms 11604 KB Output is correct
25 Correct 9 ms 11604 KB Output is correct
26 Correct 7 ms 11604 KB Output is correct
27 Correct 8 ms 11668 KB Output is correct
28 Correct 7 ms 11604 KB Output is correct
29 Correct 8 ms 11604 KB Output is correct
30 Correct 13 ms 11604 KB Output is correct
31 Correct 9 ms 11604 KB Output is correct
32 Correct 17 ms 11668 KB Output is correct
33 Correct 8 ms 11604 KB Output is correct
34 Correct 22 ms 11604 KB Output is correct
35 Correct 23 ms 11608 KB Output is correct
36 Correct 29 ms 11628 KB Output is correct
37 Correct 28 ms 11668 KB Output is correct
38 Correct 22 ms 11808 KB Output is correct
39 Correct 31 ms 15320 KB Output is correct
40 Correct 422 ms 12364 KB Output is correct
41 Correct 986 ms 12480 KB Output is correct
42 Correct 427 ms 12644 KB Output is correct
43 Correct 35 ms 12372 KB Output is correct
44 Correct 435 ms 11856 KB Output is correct
45 Correct 121 ms 24824 KB Output is correct
46 Correct 174 ms 24908 KB Output is correct
47 Correct 167 ms 26864 KB Output is correct
48 Correct 187 ms 26732 KB Output is correct
49 Correct 61 ms 24780 KB Output is correct
50 Correct 161 ms 24844 KB Output is correct
51 Correct 65 ms 25360 KB Output is correct
52 Correct 54 ms 25428 KB Output is correct
53 Correct 503 ms 12576 KB Output is correct
54 Correct 132 ms 24784 KB Output is correct

Subtask #6
0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 11604 KB Output is correct
2 Correct 6 ms 11604 KB Output is correct
3 Correct 7 ms 11604 KB Output is correct
4 Correct 7 ms 11604 KB Output is correct
5 Correct 10 ms 11604 KB Output is correct
6 Correct 7 ms 11604 KB Output is correct
7 Correct 8 ms 11616 KB Output is correct
8 Correct 7 ms 11604 KB Output is correct
9 Correct 6 ms 11604 KB Output is correct
10 Correct 7 ms 11604 KB Output is correct
11 Correct 7 ms 11604 KB Output is correct
12 Correct 30 ms 11776 KB Output is correct
13 Correct 44 ms 11604 KB Output is correct
14 Correct 169 ms 11640 KB Output is correct
15 Correct 142 ms 11652 KB Output is correct
16 Execution timed out 5044 ms 25152 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 11604 KB Output is correct
2 Correct 6 ms 11604 KB Output is correct
3 Correct 7 ms 11604 KB Output is correct
4 Correct 13 ms 11620 KB Output is correct
5 Correct 20 ms 11616 KB Output is correct
6 Correct 7 ms 11604 KB Output is correct
7 Correct 7 ms 11604 KB Output is correct
8 Correct 8 ms 11604 KB Output is correct
9 Correct 23 ms 11804 KB Output is correct
10 Correct 31 ms 15256 KB Output is correct
11 Correct 10 ms 11604 KB Output is correct
12 Correct 24 ms 11608 KB Output is correct
13 Correct 37 ms 15848 KB Output is correct
14 Correct 40 ms 15840 KB Output is correct
15 Correct 50 ms 15892 KB Output is correct
16 Correct 58 ms 16744 KB Output is correct
17 Correct 41 ms 15936 KB Output is correct
18 Correct 48 ms 16672 KB Output is correct
19 Correct 40 ms 16064 KB Output is correct
20 Correct 40 ms 16044 KB Output is correct
21 Correct 40 ms 15964 KB Output is correct
22 Correct 41 ms 16100 KB Output is correct
23 Correct 8 ms 11604 KB Output is correct
24 Correct 7 ms 11604 KB Output is correct
25 Correct 7 ms 11520 KB Output is correct
26 Correct 7 ms 11596 KB Output is correct
27 Correct 8 ms 11672 KB Output is correct
28 Correct 8 ms 11656 KB Output is correct
29 Correct 7 ms 11604 KB Output is correct
30 Correct 7 ms 11604 KB Output is correct
31 Correct 9 ms 11600 KB Output is correct
32 Correct 7 ms 11648 KB Output is correct
33 Correct 7 ms 11604 KB Output is correct
34 Correct 8 ms 11604 KB Output is correct
35 Correct 8 ms 11604 KB Output is correct
36 Correct 6 ms 11604 KB Output is correct
37 Correct 7 ms 11604 KB Output is correct
38 Correct 7 ms 11604 KB Output is correct
39 Correct 7 ms 11604 KB Output is correct
40 Correct 9 ms 11600 KB Output is correct
41 Correct 7 ms 11604 KB Output is correct
42 Correct 8 ms 11604 KB Output is correct
43 Correct 7 ms 11604 KB Output is correct
44 Correct 8 ms 11668 KB Output is correct
45 Correct 8 ms 11604 KB Output is correct
46 Correct 7 ms 11604 KB Output is correct
47 Correct 9 ms 11604 KB Output is correct
48 Correct 7 ms 11604 KB Output is correct
49 Correct 8 ms 11668 KB Output is correct
50 Correct 7 ms 11604 KB Output is correct
51 Correct 8 ms 11604 KB Output is correct
52 Correct 13 ms 11604 KB Output is correct
53 Correct 9 ms 11604 KB Output is correct
54 Correct 17 ms 11668 KB Output is correct
55 Correct 8 ms 11604 KB Output is correct
56 Correct 22 ms 11604 KB Output is correct
57 Correct 23 ms 11608 KB Output is correct
58 Correct 29 ms 11628 KB Output is correct
59 Correct 28 ms 11668 KB Output is correct
60 Correct 22 ms 11808 KB Output is correct
61 Correct 31 ms 15320 KB Output is correct
62 Correct 422 ms 12364 KB Output is correct
63 Correct 986 ms 12480 KB Output is correct
64 Correct 427 ms 12644 KB Output is correct
65 Correct 35 ms 12372 KB Output is correct
66 Correct 435 ms 11856 KB Output is correct
67 Correct 121 ms 24824 KB Output is correct
68 Correct 174 ms 24908 KB Output is correct
69 Correct 167 ms 26864 KB Output is correct
70 Correct 187 ms 26732 KB Output is correct
71 Correct 61 ms 24780 KB Output is correct
72 Correct 161 ms 24844 KB Output is correct
73 Correct 65 ms 25360 KB Output is correct
74 Correct 54 ms 25428 KB Output is correct
75 Correct 503 ms 12576 KB Output is correct
76 Correct 132 ms 24784 KB Output is correct
77 Correct 7 ms 11604 KB Output is correct
78 Correct 6 ms 11604 KB Output is correct
79 Correct 7 ms 11604 KB Output is correct
80 Correct 7 ms 11604 KB Output is correct
81 Correct 10 ms 11604 KB Output is correct
82 Correct 7 ms 11604 KB Output is correct
83 Correct 8 ms 11616 KB Output is correct
84 Correct 7 ms 11604 KB Output is correct
85 Correct 6 ms 11604 KB Output is correct
86 Correct 7 ms 11604 KB Output is correct
87 Correct 7 ms 11604 KB Output is correct
88 Correct 30 ms 11776 KB Output is correct
89 Correct 44 ms 11604 KB Output is correct
90 Correct 169 ms 11640 KB Output is correct
91 Correct 142 ms 11652 KB Output is correct
92 Execution timed out 5044 ms 25152 KB Time limit exceeded
93 Halted 0 ms 0 KB -