oj.uz

Submission #600745

# Submission time Handle Problem Language Result Execution time Memory
600745 2022-07-21T07:34:32 Z piOOE Werewolf (IOI18_werewolf) C++17
100 / 100
 1666 ms 233424 KB 
#include "werewolf.h"
#include <bits/stdc++.h>

using namespace std;

const int inf = 1e9 + 7;

struct dsu {
    vector<int> p;

    dsu() = default;

    dsu(int n) {
        p.resize(n);
        iota(p.begin(), p.end(), 0);
    }

    int get(int a) {
        return a == p[a] ? a : p[a] = get(p[a]);
    }

    bool mrg(int a, int b) {
        a = get(a);
        b = get(b);
        if (a == b) {
            return false;
        }
        p[b] = a;
        return true;
    }

    bool same(int a, int b) {
        return get(a) == get(b);
    }
};

struct SegTree {
    int sz = 1;
    vector<vector<int>> t;

    SegTree() = default;

    SegTree(const vector<int> &a) {
        int n = (int) a.size();
        sz = 1;
        while (sz < n) sz <<= 1;
        t.assign(sz << 1, {});
        for (int i = 0; i < n; ++i) {
            t[i + sz] = {a[i]};
        }
        for (int i = sz - 1; i > 0; --i) {
            t[i].resize(t[i << 1].size() + t[i << 1 | 1].size());
            merge(t[i << 1].begin(), t[i << 1].end(), t[i << 1 | 1].begin(), t[i << 1 | 1].end(), t[i].begin());
        }
    }

    int get(int l, int r, int val, int x, int lx, int rx) {
        if (l >= rx || lx >= r) return inf;
        if (l <= lx && rx <= r) {
            auto it = lower_bound(t[x].begin(), t[x].end(), val);
            if (it == t[x].end()) {
                return inf;
            } else {
                return *it;
            }
        }
        int m = (lx + rx) >> 1;
        return min(get(l, r, val, x << 1, lx, m), get(l, r, val, x << 1 | 1, m, rx));
    }
};

namespace Werewolf {
    const int N = 600000, logn = 20;
    int jump[logn][N], weight[N], tin[N], tout[N], T = 0;
    vector<int> g[N], ord;

    int n, m;

    void init(vector<array<int, 3>> e, int _n) {
        n = _n;
        m = (int)e.size();
        dsu d(n + m);
        int last = n;
        assert(*max_element(tin, tin + N) == 0);
        for (auto [w, a, b] : e) {
            if (d.same(a, b)) {
                g[last].push_back(d.get(a));
                d.mrg(last, a);
            } else {
                g[last].push_back(d.get(a));
                g[last].push_back(d.get(b));
                d.mrg(last, a);
                d.mrg(last, b);
            }
            weight[last - n] = w;
            last += 1;
        }
        function<void(int)> dfs = [&](int v) {
            tin[v] = T;
            if (v < n) {
                ord.push_back(v);
                T++;
            }
            for (int to : g[v]) {
                jump[0][to] = v;
                dfs(to);
            }
            tout[v] = T;
        };
        memset(tin, -1, sizeof(tin));
        for (int i = last - 1; i > -1; --i) {
            if (tin[i] == -1) {
                jump[0][i] = i;
                dfs(i);
            }
        }
        for (int j = 1; j < logn; ++j) {
            for (int i = 0; i < n + m; ++i) {
                jump[j][i] = jump[j - 1][jump[j - 1][i]];
            }
        }
    }

    pair<int, int> get(int v, int w) {
        for (int j = logn - 1; j > -1; --j) {
            if (weight[jump[j][v] - n] <= w) {
                v = jump[j][v];
            }
        }
        return {tin[v], tout[v]};
    }
};

namespace Human {
    const int N = 600000, logn = 20;
    int jump[logn][N], weight[N], tin[N], tout[N], T = 0;
    vector<int> g[N], ord;

    int n, m;

    void init(vector<array<int, 3>> e, int _n) {
        n = _n;
        m = (int)e.size();
        dsu d(n + m);
        int last = n;
        assert(*max_element(tin, tin + N) == 0);
        for (auto [w, a, b] : e) {
            if (d.same(a, b)) {
                g[last].push_back(d.get(a));
                d.mrg(last, a);
            } else {
                g[last].push_back(d.get(a));
                g[last].push_back(d.get(b));
                d.mrg(last, a);
                d.mrg(last, b);
            }
            weight[last - n] = w;
            last += 1;
        }
        function<void(int)> dfs = [&](int v) {
            tin[v] = T;
            if (v < n) {
                ord.push_back(v);
                T++;
            }
            for (int to : g[v]) {
                jump[0][to] = v;
                dfs(to);
            }
            tout[v] = T;
        };
        memset(tin, -1, sizeof(tin));
        for (int i = last - 1; i > -1; --i) {
            if (tin[i] == -1) {
                jump[0][i] = i;
                dfs(i);
            }
        }
        for (int j = 1; j < logn; ++j) {
            for (int i = 0; i < n + m; ++i) {
                jump[j][i] = jump[j - 1][jump[j - 1][i]];
            }
        }
    }

    pair<int, int> get(int v, int w) {
        for (int j = logn - 1; j > -1; --j) {
            if (weight[jump[j][v] - n] >= w) {
                v = jump[j][v];
            }
        }
        return {tin[v], tout[v]};
    }
} //human


vector<int>
check_validity(int n, vector<int> X, vector<int> Y, vector<int> s, vector<int> e, vector<int> L, vector<int> R) {
    int m = (int)X.size(), q = (int)e.size();
    vector<array<int, 3>> eWerewolf(m), eHuman(m);
    for (int i = 0; i < m; ++i) {
        if (X[i] > Y[i]) {
            swap(X[i], Y[i]);
        }
        eWerewolf[i] = {Y[i], X[i], Y[i]};
        eHuman[i] = {X[i], X[i], Y[i]};
    }
    sort(eHuman.begin(), eHuman.end(), greater());
    sort(eWerewolf.begin(), eWerewolf.end());
    Werewolf::init(eWerewolf, n);
    Human::init(eHuman, n);
    vector<int> a(n);
    for (int i = 0; i < n; ++i) {
        a[i] = Human::tin[Werewolf::ord[i]];
    }
    SegTree st(a);
    vector<int> ans(q);
    for (int i = 0; i < q; ++i) {
        auto [hL, hR] = Human::get(s[i], L[i]);
        auto [wL, wR] = Werewolf::get(e[i], R[i]);
        int x = st.get(wL, wR, hL, 1, 0, st.sz);
        ans[i] = (x < hR);
    }
    return ans;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 33572 KB Output is correct
2 Correct 26 ms 33488 KB Output is correct
3 Correct 22 ms 33600 KB Output is correct
4 Correct 23 ms 33436 KB Output is correct
5 Correct 23 ms 33492 KB Output is correct
6 Correct 21 ms 33532 KB Output is correct
7 Correct 20 ms 33612 KB Output is correct
8 Correct 25 ms 33484 KB Output is correct
9 Correct 22 ms 33516 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 33572 KB Output is correct
2 Correct 26 ms 33488 KB Output is correct
3 Correct 22 ms 33600 KB Output is correct
4 Correct 23 ms 33436 KB Output is correct
5 Correct 23 ms 33492 KB Output is correct
6 Correct 21 ms 33532 KB Output is correct
7 Correct 20 ms 33612 KB Output is correct
8 Correct 25 ms 33484 KB Output is correct
9 Correct 22 ms 33516 KB Output is correct
10 Correct 33 ms 35660 KB Output is correct
11 Correct 33 ms 35536 KB Output is correct
12 Correct 32 ms 35488 KB Output is correct
13 Correct 32 ms 35792 KB Output is correct
14 Correct 28 ms 35712 KB Output is correct
15 Correct 36 ms 36468 KB Output is correct

Subtask #3
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 925 ms 168392 KB Output is correct
2 Correct 1354 ms 177088 KB Output is correct
3 Correct 1331 ms 173048 KB Output is correct
4 Correct 1248 ms 171236 KB Output is correct
5 Correct 1207 ms 171144 KB Output is correct
6 Correct 1110 ms 170940 KB Output is correct
7 Correct 796 ms 170812 KB Output is correct
8 Correct 1367 ms 177056 KB Output is correct
9 Correct 961 ms 173136 KB Output is correct
10 Correct 520 ms 171252 KB Output is correct
11 Correct 600 ms 171140 KB Output is correct
12 Correct 805 ms 170936 KB Output is correct
13 Correct 1513 ms 177092 KB Output is correct
14 Correct 1351 ms 177852 KB Output is correct
15 Correct 1187 ms 177864 KB Output is correct
16 Correct 1324 ms 177888 KB Output is correct
17 Correct 827 ms 171588 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 33572 KB Output is correct
2 Correct 26 ms 33488 KB Output is correct
3 Correct 22 ms 33600 KB Output is correct
4 Correct 23 ms 33436 KB Output is correct
5 Correct 23 ms 33492 KB Output is correct
6 Correct 21 ms 33532 KB Output is correct
7 Correct 20 ms 33612 KB Output is correct
8 Correct 25 ms 33484 KB Output is correct
9 Correct 22 ms 33516 KB Output is correct
10 Correct 33 ms 35660 KB Output is correct
11 Correct 33 ms 35536 KB Output is correct
12 Correct 32 ms 35488 KB Output is correct
13 Correct 32 ms 35792 KB Output is correct
14 Correct 28 ms 35712 KB Output is correct
15 Correct 36 ms 36468 KB Output is correct
16 Correct 925 ms 168392 KB Output is correct
17 Correct 1354 ms 177088 KB Output is correct
18 Correct 1331 ms 173048 KB Output is correct
19 Correct 1248 ms 171236 KB Output is correct
20 Correct 1207 ms 171144 KB Output is correct
21 Correct 1110 ms 170940 KB Output is correct
22 Correct 796 ms 170812 KB Output is correct
23 Correct 1367 ms 177056 KB Output is correct
24 Correct 961 ms 173136 KB Output is correct
25 Correct 520 ms 171252 KB Output is correct
26 Correct 600 ms 171140 KB Output is correct
27 Correct 805 ms 170936 KB Output is correct
28 Correct 1513 ms 177092 KB Output is correct
29 Correct 1351 ms 177852 KB Output is correct
30 Correct 1187 ms 177864 KB Output is correct
31 Correct 1324 ms 177888 KB Output is correct
32 Correct 827 ms 171588 KB Output is correct
33 Correct 1278 ms 173184 KB Output is correct
34 Correct 1145 ms 185352 KB Output is correct
35 Correct 1492 ms 183456 KB Output is correct
36 Correct 1008 ms 174156 KB Output is correct
37 Correct 1425 ms 179360 KB Output is correct
38 Correct 1121 ms 176628 KB Output is correct
39 Correct 1165 ms 184452 KB Output is correct
40 Correct 1211 ms 233424 KB Output is correct
41 Correct 1096 ms 177004 KB Output is correct
42 Correct 561 ms 174152 KB Output is correct
43 Correct 1666 ms 211920 KB Output is correct
44 Correct 1298 ms 179320 KB Output is correct
45 Correct 963 ms 187488 KB Output is correct
46 Correct 977 ms 184452 KB Output is correct
47 Correct 1132 ms 179404 KB Output is correct
48 Correct 1234 ms 178000 KB Output is correct
49 Correct 1127 ms 179912 KB Output is correct
50 Correct 1206 ms 178536 KB Output is correct
51 Correct 1125 ms 233404 KB Output is correct
52 Correct 1082 ms 233364 KB Output is correct