Submission #966773

# Submission time Handle Problem Language Result Execution time Memory
966773 2024-04-20T10:25:52 Z Nhoksocqt1 Game (APIO22_game) C++17
60 / 100
4000 ms 40440 KB
#ifndef Nhoksocqt1
    #include "game.h"
#endif // Nhoksocqt1
#include<bits/stdc++.h>
using namespace std;

#define inf 0x3f3f3f3f
#define sz(x) int((x).size())
#define fi first
#define se second
typedef long long ll;
typedef pair<int, int> ii;

template<class X, class Y>
	inline bool maximize(X &x, const Y &y) {return (x < y ? x = y, 1 : 0);}
template<class X, class Y>
	inline bool minimize(X &x, const Y &y) {return (x > y ? x = y, 1 : 0);}

mt19937 rng(2);
//#define HAHA
int Random(int l, int r) {
    return uniform_int_distribution<int>(l, r)(rng);
}

const int MAXN = 300005;
const int MAXM = 800005;
const int BLOCK = 550;

vector<int> adj[MAXN], adjr[MAXN];
int min_bucket_to[MAXN], max_bucket_from[MAXN], min_spe_to[MAXN], max_spe_from[MAXN];
int id_block[MAXN], numBlock, numNode, numSpecial;
bool dx[MAXN];

void init(int _N, int _K) {
    numNode = _N, numSpecial = _K;
    for (int i = 0; i < numNode; ++i) {
        min_spe_to[i] = (i < numSpecial) ? i : numSpecial;
        max_spe_from[i] = (i < numSpecial) ? i : -1;
    }

    numBlock = (numSpecial + BLOCK - 1) / BLOCK;
    for (int i = 0; i < numBlock; ++i) {
        int L = i * BLOCK, R = min(numSpecial, (i + 1) * BLOCK - 1);
        for (int j = L; j <= R; ++j) {
            min_bucket_to[j] = max_bucket_from[j] = i;
            id_block[j] = i;
        }
    }

    for (int i = numSpecial; i < numNode; ++i) {
        max_bucket_from[i] = -1;
        min_bucket_to[i] = numBlock;
    }
}

bool brute(int u, int v) {
    queue<int> qu;
    if(min_spe_to[u] > min(min_spe_to[v], v)) {
        min_spe_to[u] = min(min_spe_to[v], v);
        qu.push(u);
    }

    while(sz(qu)) {
        int u(qu.front()); qu.pop();
        if(max_spe_from[u] >= min_spe_to[u])
            return true;

        for (int it = 0; it < sz(adjr[u]); ++it) {
            int v(adjr[u][it]);
            if(min_spe_to[v] > min_spe_to[u]) {
                min_spe_to[v] = min_spe_to[u];
                qu.push(v);
            }
        }
    }

    int max_spe_from_now = max(max_spe_from[u], (u < numSpecial ? u : -1));
    if(max_spe_from[v] < max_spe_from_now) {
        max_spe_from[v] = max_spe_from_now;
        qu.push(v);
    }

    while(sz(qu)) {
        int u(qu.front()); qu.pop();
        if(u >= numSpecial && max_spe_from[u] >= min_spe_to[u])
            return true;

        for (int it = 0; it < sz(adj[u]); ++it) {
            int v(adj[u][it]);
            if(max_spe_from[v] < max_spe_from[u]) {
                max_spe_from[v] = max_spe_from[u];
                qu.push(v);
            }
        }
    }

    return false;
}

bool magicFunc(int u, int v) {
    queue<int> qu;
    if(min_bucket_to[u] > min_bucket_to[v]) {
        min_bucket_to[u] = min_bucket_to[v];
        qu.push(u);
    }

    vector<int> nodes;
    nodes.push_back(u);
    nodes.push_back(v);

    while(sz(qu)) {
        int u(qu.front()); qu.pop();
        //cout << "MIN BUCKET TO " << u << ' ' << min_bucket_to[u] << '\n';
        if(max_bucket_from[u] > min_bucket_to[u])
            return true;

        if(max_bucket_from[u] == min_bucket_to[u])
            nodes.push_back(u);

        for (int it = 0; it < sz(adjr[u]); ++it) {
            int v(adjr[u][it]);
            if(min_bucket_to[v] > min_bucket_to[u]) {
                min_bucket_to[v] = min_bucket_to[u];
                qu.push(v);
            }
        }
    }

    if(max_bucket_from[v] < max_bucket_from[u]) {
        max_bucket_from[v] = max_bucket_from[u];
        qu.push(v);
    }

    while(sz(qu)) {
        int u(qu.front()); qu.pop();
        //cout << "MAX BUCKET FROM " << u << ' ' << max_bucket_from[u] << '\n';
        if(max_bucket_from[u] > min_bucket_to[u])
            return true;

        if(max_bucket_from[u] == min_bucket_to[u])
            nodes.push_back(u);

        for (int it = 0; it < sz(adj[u]); ++it) {
            int v(adj[u][it]);
            if(max_bucket_from[v] < max_bucket_from[u]) {
                max_bucket_from[v] = max_bucket_from[u];
                qu.push(v);
            }
        }
    }

    for (int it = 0; it < sz(nodes); ++it) {
        int u(nodes[it]);
        for (int it = 0; it < sz(adjr[u]); ++it) {
            int v(adjr[u][it]);
            if(max_spe_from[u] < max_spe_from[v]) {
                max_spe_from[u] = max_spe_from[v];
                qu.push(u);
            }
        }

        for (int it = 0; it < sz(adj[u]); ++it) {
            int v(adj[u][it]);
            if(min_spe_to[u] > min_spe_to[v]) {
                min_spe_to[u] = min_spe_to[v];
                qu.push(u);
            }
        }
    }

    while(sz(qu)) {
        int u(qu.front()); qu.pop();
        //cout << "MIN SPE TO " << u << ' ' << min_spe_to[u] << '\n';
        //cout << "MAX SPE FROM " << u << ' ' << max_spe_from[u] << '\n';
        if(u >= numSpecial && max_spe_from[u] >= min_spe_to[u])
            return true;

        for (int it = 0; it < sz(adjr[u]); ++it) {
            int v(adjr[u][it]);
            if(max_bucket_from[v] == min_bucket_to[v] && max_bucket_from[u] == max_bucket_from[v] && min_spe_to[v] > min_spe_to[u]) {
                min_spe_to[v] = min_spe_to[u];
                qu.push(v);
            }
        }

        for (int it = 0; it < sz(adj[u]); ++it) {
            int v(adj[u][it]);
            if(max_bucket_from[v] == min_bucket_to[v] && max_bucket_from[u] == max_bucket_from[v] && max_spe_from[v] < max_spe_from[u]) {
                max_spe_from[v] = max_spe_from[u];
                qu.push(v);
            }
        }
    }

    return false;
}

int add_teleporter(int u, int v) {
    if(max(u, v) < numSpecial)
        return (u >= v);

    if(u == v)
        return false;

    adj[u].push_back(v);
    adjr[v].push_back(u);
/*
    #ifdef Nhoksocqt1
        #ifdef HAHA
            return brute(u, v);
        #else
            return magicFunc(u, v);
        #endif // HAHA
    #endif // Nhoksocqt1
*/
    //cout << brute(u, v) << ' ' << magicFunc(u, v) << '\n'; return false;
    /*if(numNode <= 30000 && numSpecial <= 1000) {
        return brute(u, v);
    } else*/ {
        return magicFunc(u, v);
    }

    return false;
}

#ifdef Nhoksocqt1

int main(void) {
    ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);

    #define TASK "game"
    if(fopen(TASK".inp", "r")) {
        freopen(TASK".inp", "r", stdin);
        freopen(TASK".out", "w", stdout);
    }

    int n, k, m;
    cin >> n >> k >> m;

    init(n, k);
    for (int i = 0; i < m; ++i) {
        int u, v;
        cin >> u >> v;
        //u = Random(0, n - 2), v = Random(max(k, u + 1), n - 1); if(Random(0, 1)) swap(u, v);
        int ans = add_teleporter(u, v);
        cout << "ANSWER FOR EDGE " << u << " TO " << v << ": " << ans << '\n';
    }

    return 0;
}

#endif // Nhoksocqt1
# Verdict Execution time Memory Grader output
1 Correct 7 ms 20312 KB Output is correct
2 Correct 5 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 5 ms 20312 KB Output is correct
5 Correct 4 ms 20312 KB Output is correct
6 Correct 5 ms 20312 KB Output is correct
7 Correct 5 ms 20516 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 20312 KB Output is correct
2 Correct 5 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 5 ms 20312 KB Output is correct
5 Correct 4 ms 20312 KB Output is correct
6 Correct 5 ms 20312 KB Output is correct
7 Correct 5 ms 20516 KB Output is correct
8 Correct 5 ms 20312 KB Output is correct
9 Correct 4 ms 20312 KB Output is correct
10 Correct 4 ms 20312 KB Output is correct
11 Correct 4 ms 20516 KB Output is correct
12 Correct 5 ms 20336 KB Output is correct
13 Correct 6 ms 20312 KB Output is correct
14 Correct 4 ms 20312 KB Output is correct
15 Correct 5 ms 20308 KB Output is correct
16 Correct 5 ms 20312 KB Output is correct
17 Correct 4 ms 20312 KB Output is correct
18 Correct 4 ms 20312 KB Output is correct
19 Correct 6 ms 20312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 20312 KB Output is correct
2 Correct 5 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 5 ms 20312 KB Output is correct
5 Correct 4 ms 20312 KB Output is correct
6 Correct 5 ms 20312 KB Output is correct
7 Correct 5 ms 20516 KB Output is correct
8 Correct 5 ms 20312 KB Output is correct
9 Correct 4 ms 20312 KB Output is correct
10 Correct 4 ms 20312 KB Output is correct
11 Correct 4 ms 20516 KB Output is correct
12 Correct 5 ms 20336 KB Output is correct
13 Correct 6 ms 20312 KB Output is correct
14 Correct 4 ms 20312 KB Output is correct
15 Correct 5 ms 20308 KB Output is correct
16 Correct 5 ms 20312 KB Output is correct
17 Correct 4 ms 20312 KB Output is correct
18 Correct 4 ms 20312 KB Output is correct
19 Correct 6 ms 20312 KB Output is correct
20 Correct 5 ms 20312 KB Output is correct
21 Correct 5 ms 20312 KB Output is correct
22 Correct 5 ms 20568 KB Output is correct
23 Correct 6 ms 20508 KB Output is correct
24 Correct 9 ms 20824 KB Output is correct
25 Correct 8 ms 20520 KB Output is correct
26 Correct 8 ms 20568 KB Output is correct
27 Correct 9 ms 20568 KB Output is correct
28 Correct 9 ms 20568 KB Output is correct
29 Correct 6 ms 20568 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 20312 KB Output is correct
2 Correct 5 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 5 ms 20312 KB Output is correct
5 Correct 4 ms 20312 KB Output is correct
6 Correct 5 ms 20312 KB Output is correct
7 Correct 5 ms 20516 KB Output is correct
8 Correct 5 ms 20312 KB Output is correct
9 Correct 4 ms 20312 KB Output is correct
10 Correct 4 ms 20312 KB Output is correct
11 Correct 4 ms 20516 KB Output is correct
12 Correct 5 ms 20336 KB Output is correct
13 Correct 6 ms 20312 KB Output is correct
14 Correct 4 ms 20312 KB Output is correct
15 Correct 5 ms 20308 KB Output is correct
16 Correct 5 ms 20312 KB Output is correct
17 Correct 4 ms 20312 KB Output is correct
18 Correct 4 ms 20312 KB Output is correct
19 Correct 6 ms 20312 KB Output is correct
20 Correct 5 ms 20312 KB Output is correct
21 Correct 5 ms 20312 KB Output is correct
22 Correct 5 ms 20568 KB Output is correct
23 Correct 6 ms 20508 KB Output is correct
24 Correct 9 ms 20824 KB Output is correct
25 Correct 8 ms 20520 KB Output is correct
26 Correct 8 ms 20568 KB Output is correct
27 Correct 9 ms 20568 KB Output is correct
28 Correct 9 ms 20568 KB Output is correct
29 Correct 6 ms 20568 KB Output is correct
30 Correct 24 ms 22048 KB Output is correct
31 Correct 10 ms 20824 KB Output is correct
32 Correct 29 ms 22504 KB Output is correct
33 Correct 21 ms 22616 KB Output is correct
34 Correct 114 ms 22996 KB Output is correct
35 Correct 77 ms 22952 KB Output is correct
36 Correct 54 ms 23096 KB Output is correct
37 Correct 43 ms 23136 KB Output is correct
38 Correct 43 ms 22700 KB Output is correct
39 Correct 40 ms 22716 KB Output is correct
40 Correct 128 ms 23484 KB Output is correct
41 Correct 67 ms 22776 KB Output is correct
42 Correct 47 ms 23096 KB Output is correct
43 Correct 44 ms 22644 KB Output is correct
44 Correct 185 ms 22872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 20312 KB Output is correct
2 Correct 5 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 5 ms 20312 KB Output is correct
5 Correct 4 ms 20312 KB Output is correct
6 Correct 5 ms 20312 KB Output is correct
7 Correct 5 ms 20516 KB Output is correct
8 Correct 5 ms 20312 KB Output is correct
9 Correct 4 ms 20312 KB Output is correct
10 Correct 4 ms 20312 KB Output is correct
11 Correct 4 ms 20516 KB Output is correct
12 Correct 5 ms 20336 KB Output is correct
13 Correct 6 ms 20312 KB Output is correct
14 Correct 4 ms 20312 KB Output is correct
15 Correct 5 ms 20308 KB Output is correct
16 Correct 5 ms 20312 KB Output is correct
17 Correct 4 ms 20312 KB Output is correct
18 Correct 4 ms 20312 KB Output is correct
19 Correct 6 ms 20312 KB Output is correct
20 Correct 5 ms 20312 KB Output is correct
21 Correct 5 ms 20312 KB Output is correct
22 Correct 5 ms 20568 KB Output is correct
23 Correct 6 ms 20508 KB Output is correct
24 Correct 9 ms 20824 KB Output is correct
25 Correct 8 ms 20520 KB Output is correct
26 Correct 8 ms 20568 KB Output is correct
27 Correct 9 ms 20568 KB Output is correct
28 Correct 9 ms 20568 KB Output is correct
29 Correct 6 ms 20568 KB Output is correct
30 Correct 24 ms 22048 KB Output is correct
31 Correct 10 ms 20824 KB Output is correct
32 Correct 29 ms 22504 KB Output is correct
33 Correct 21 ms 22616 KB Output is correct
34 Correct 114 ms 22996 KB Output is correct
35 Correct 77 ms 22952 KB Output is correct
36 Correct 54 ms 23096 KB Output is correct
37 Correct 43 ms 23136 KB Output is correct
38 Correct 43 ms 22700 KB Output is correct
39 Correct 40 ms 22716 KB Output is correct
40 Correct 128 ms 23484 KB Output is correct
41 Correct 67 ms 22776 KB Output is correct
42 Correct 47 ms 23096 KB Output is correct
43 Correct 44 ms 22644 KB Output is correct
44 Correct 185 ms 22872 KB Output is correct
45 Correct 279 ms 31804 KB Output is correct
46 Correct 10 ms 20824 KB Output is correct
47 Correct 9 ms 20824 KB Output is correct
48 Correct 485 ms 40440 KB Output is correct
49 Correct 309 ms 40044 KB Output is correct
50 Execution timed out 4042 ms 32296 KB Time limit exceeded
51 Halted 0 ms 0 KB -