Submission #966776

# Submission time Handle Problem Language Result Execution time Memory
966776 2024-04-20T10:30:36 Z Nhoksocqt1 Game (APIO22_game) C++17
60 / 100
4000 ms 40928 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_bucket_from[v] == min_bucket_to[v] && max_bucket_from[u] == max_bucket_from[v] && 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(max_bucket_from[v] == min_bucket_to[v] && max_bucket_from[u] == max_bucket_from[v] && 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';
        if(ans == 1)
            break;
    }

    return 0;
}

#endif // Nhoksocqt1
# Verdict Execution time Memory Grader output
1 Correct 4 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 4 ms 20312 KB Output is correct
7 Correct 5 ms 20312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 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 4 ms 20312 KB Output is correct
7 Correct 5 ms 20312 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 20312 KB Output is correct
12 Correct 5 ms 20312 KB Output is correct
13 Correct 5 ms 20312 KB Output is correct
14 Correct 5 ms 20508 KB Output is correct
15 Correct 5 ms 20312 KB Output is correct
16 Correct 4 ms 20312 KB Output is correct
17 Correct 4 ms 20312 KB Output is correct
18 Correct 5 ms 20312 KB Output is correct
19 Correct 5 ms 20312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 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 4 ms 20312 KB Output is correct
7 Correct 5 ms 20312 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 20312 KB Output is correct
12 Correct 5 ms 20312 KB Output is correct
13 Correct 5 ms 20312 KB Output is correct
14 Correct 5 ms 20508 KB Output is correct
15 Correct 5 ms 20312 KB Output is correct
16 Correct 4 ms 20312 KB Output is correct
17 Correct 4 ms 20312 KB Output is correct
18 Correct 5 ms 20312 KB Output is correct
19 Correct 5 ms 20312 KB Output is correct
20 Correct 6 ms 20312 KB Output is correct
21 Correct 4 ms 20312 KB Output is correct
22 Correct 6 ms 20568 KB Output is correct
23 Correct 5 ms 20564 KB Output is correct
24 Correct 8 ms 20568 KB Output is correct
25 Correct 8 ms 20824 KB Output is correct
26 Correct 7 ms 20824 KB Output is correct
27 Correct 7 ms 20824 KB Output is correct
28 Correct 6 ms 20564 KB Output is correct
29 Correct 7 ms 20824 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 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 4 ms 20312 KB Output is correct
7 Correct 5 ms 20312 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 20312 KB Output is correct
12 Correct 5 ms 20312 KB Output is correct
13 Correct 5 ms 20312 KB Output is correct
14 Correct 5 ms 20508 KB Output is correct
15 Correct 5 ms 20312 KB Output is correct
16 Correct 4 ms 20312 KB Output is correct
17 Correct 4 ms 20312 KB Output is correct
18 Correct 5 ms 20312 KB Output is correct
19 Correct 5 ms 20312 KB Output is correct
20 Correct 6 ms 20312 KB Output is correct
21 Correct 4 ms 20312 KB Output is correct
22 Correct 6 ms 20568 KB Output is correct
23 Correct 5 ms 20564 KB Output is correct
24 Correct 8 ms 20568 KB Output is correct
25 Correct 8 ms 20824 KB Output is correct
26 Correct 7 ms 20824 KB Output is correct
27 Correct 7 ms 20824 KB Output is correct
28 Correct 6 ms 20564 KB Output is correct
29 Correct 7 ms 20824 KB Output is correct
30 Correct 19 ms 21744 KB Output is correct
31 Correct 8 ms 20748 KB Output is correct
32 Correct 26 ms 22864 KB Output is correct
33 Correct 27 ms 22420 KB Output is correct
34 Correct 109 ms 22844 KB Output is correct
35 Correct 81 ms 22940 KB Output is correct
36 Correct 55 ms 23184 KB Output is correct
37 Correct 40 ms 22908 KB Output is correct
38 Correct 39 ms 22732 KB Output is correct
39 Correct 42 ms 22388 KB Output is correct
40 Correct 138 ms 23360 KB Output is correct
41 Correct 57 ms 22776 KB Output is correct
42 Correct 41 ms 23056 KB Output is correct
43 Correct 56 ms 22944 KB Output is correct
44 Correct 185 ms 22540 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 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 4 ms 20312 KB Output is correct
7 Correct 5 ms 20312 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 20312 KB Output is correct
12 Correct 5 ms 20312 KB Output is correct
13 Correct 5 ms 20312 KB Output is correct
14 Correct 5 ms 20508 KB Output is correct
15 Correct 5 ms 20312 KB Output is correct
16 Correct 4 ms 20312 KB Output is correct
17 Correct 4 ms 20312 KB Output is correct
18 Correct 5 ms 20312 KB Output is correct
19 Correct 5 ms 20312 KB Output is correct
20 Correct 6 ms 20312 KB Output is correct
21 Correct 4 ms 20312 KB Output is correct
22 Correct 6 ms 20568 KB Output is correct
23 Correct 5 ms 20564 KB Output is correct
24 Correct 8 ms 20568 KB Output is correct
25 Correct 8 ms 20824 KB Output is correct
26 Correct 7 ms 20824 KB Output is correct
27 Correct 7 ms 20824 KB Output is correct
28 Correct 6 ms 20564 KB Output is correct
29 Correct 7 ms 20824 KB Output is correct
30 Correct 19 ms 21744 KB Output is correct
31 Correct 8 ms 20748 KB Output is correct
32 Correct 26 ms 22864 KB Output is correct
33 Correct 27 ms 22420 KB Output is correct
34 Correct 109 ms 22844 KB Output is correct
35 Correct 81 ms 22940 KB Output is correct
36 Correct 55 ms 23184 KB Output is correct
37 Correct 40 ms 22908 KB Output is correct
38 Correct 39 ms 22732 KB Output is correct
39 Correct 42 ms 22388 KB Output is correct
40 Correct 138 ms 23360 KB Output is correct
41 Correct 57 ms 22776 KB Output is correct
42 Correct 41 ms 23056 KB Output is correct
43 Correct 56 ms 22944 KB Output is correct
44 Correct 185 ms 22540 KB Output is correct
45 Correct 296 ms 32120 KB Output is correct
46 Correct 10 ms 20824 KB Output is correct
47 Correct 9 ms 20824 KB Output is correct
48 Correct 427 ms 40928 KB Output is correct
49 Correct 320 ms 40216 KB Output is correct
50 Execution timed out 4073 ms 32320 KB Time limit exceeded
51 Halted 0 ms 0 KB -