oj.uz

Submission #966783

# Submission time Handle Problem Language Result Execution time Memory
966783 2024-04-20T10:52:14 Z Nhoksocqt1 Game (APIO22_game) C++17
60 / 100
 4000 ms 41052 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;
    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);
            }
        }
    }

    if(max_bucket_from[u] == min_bucket_to[u] && max_bucket_from[v] == min_bucket_to[v] && max_bucket_from[u] == max_bucket_from[v]) {
        if(min_spe_to[u] > min_spe_to[v]) {
            min_spe_to[u] = min_spe_to[v];
            qu.push(u);
        }

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

    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])
                continue;

            if(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])
                continue;

            if(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

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 20312 KB Output is correct
2 Correct 4 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 4 ms 20312 KB Output is correct
5 Correct 5 ms 20312 KB Output is correct
6 Correct 4 ms 20496 KB Output is correct
7 Correct 5 ms 20564 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 20312 KB Output is correct
2 Correct 4 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 4 ms 20312 KB Output is correct
5 Correct 5 ms 20312 KB Output is correct
6 Correct 4 ms 20496 KB Output is correct
7 Correct 5 ms 20564 KB Output is correct
8 Correct 6 ms 20508 KB Output is correct
9 Correct 4 ms 20312 KB Output is correct
10 Correct 5 ms 20404 KB Output is correct
11 Correct 5 ms 20432 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 20312 KB Output is correct
15 Correct 4 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 6 ms 20312 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 20312 KB Output is correct
2 Correct 4 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 4 ms 20312 KB Output is correct
5 Correct 5 ms 20312 KB Output is correct
6 Correct 4 ms 20496 KB Output is correct
7 Correct 5 ms 20564 KB Output is correct
8 Correct 6 ms 20508 KB Output is correct
9 Correct 4 ms 20312 KB Output is correct
10 Correct 5 ms 20404 KB Output is correct
11 Correct 5 ms 20432 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 20312 KB Output is correct
15 Correct 4 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 6 ms 20312 KB Output is correct
20 Correct 5 ms 20312 KB Output is correct
21 Correct 4 ms 20312 KB Output is correct
22 Correct 5 ms 20568 KB Output is correct
23 Correct 5 ms 20568 KB Output is correct
24 Correct 8 ms 20568 KB Output is correct
25 Correct 7 ms 20568 KB Output is correct
26 Correct 7 ms 20568 KB Output is correct
27 Correct 7 ms 20824 KB Output is correct
28 Correct 5 ms 20312 KB Output is correct
29 Correct 6 ms 20568 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 20312 KB Output is correct
2 Correct 4 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 4 ms 20312 KB Output is correct
5 Correct 5 ms 20312 KB Output is correct
6 Correct 4 ms 20496 KB Output is correct
7 Correct 5 ms 20564 KB Output is correct
8 Correct 6 ms 20508 KB Output is correct
9 Correct 4 ms 20312 KB Output is correct
10 Correct 5 ms 20404 KB Output is correct
11 Correct 5 ms 20432 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 20312 KB Output is correct
15 Correct 4 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 6 ms 20312 KB Output is correct
20 Correct 5 ms 20312 KB Output is correct
21 Correct 4 ms 20312 KB Output is correct
22 Correct 5 ms 20568 KB Output is correct
23 Correct 5 ms 20568 KB Output is correct
24 Correct 8 ms 20568 KB Output is correct
25 Correct 7 ms 20568 KB Output is correct
26 Correct 7 ms 20568 KB Output is correct
27 Correct 7 ms 20824 KB Output is correct
28 Correct 5 ms 20312 KB Output is correct
29 Correct 6 ms 20568 KB Output is correct
30 Correct 21 ms 22084 KB Output is correct
31 Correct 9 ms 21284 KB Output is correct
32 Correct 18 ms 22692 KB Output is correct
33 Correct 19 ms 22500 KB Output is correct
34 Correct 107 ms 22428 KB Output is correct
35 Correct 69 ms 22568 KB Output is correct
36 Correct 39 ms 22792 KB Output is correct
37 Correct 33 ms 22864 KB Output is correct
38 Correct 32 ms 22656 KB Output is correct
39 Correct 35 ms 22096 KB Output is correct
40 Correct 116 ms 22904 KB Output is correct
41 Correct 47 ms 22304 KB Output is correct
42 Correct 42 ms 22628 KB Output is correct
43 Correct 42 ms 22616 KB Output is correct
44 Correct 179 ms 23120 KB Output is correct

Subtask #5
0.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 20312 KB Output is correct
2 Correct 4 ms 20312 KB Output is correct
3 Correct 4 ms 20312 KB Output is correct
4 Correct 4 ms 20312 KB Output is correct
5 Correct 5 ms 20312 KB Output is correct
6 Correct 4 ms 20496 KB Output is correct
7 Correct 5 ms 20564 KB Output is correct
8 Correct 6 ms 20508 KB Output is correct
9 Correct 4 ms 20312 KB Output is correct
10 Correct 5 ms 20404 KB Output is correct
11 Correct 5 ms 20432 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 20312 KB Output is correct
15 Correct 4 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 6 ms 20312 KB Output is correct
20 Correct 5 ms 20312 KB Output is correct
21 Correct 4 ms 20312 KB Output is correct
22 Correct 5 ms 20568 KB Output is correct
23 Correct 5 ms 20568 KB Output is correct
24 Correct 8 ms 20568 KB Output is correct
25 Correct 7 ms 20568 KB Output is correct
26 Correct 7 ms 20568 KB Output is correct
27 Correct 7 ms 20824 KB Output is correct
28 Correct 5 ms 20312 KB Output is correct
29 Correct 6 ms 20568 KB Output is correct
30 Correct 21 ms 22084 KB Output is correct
31 Correct 9 ms 21284 KB Output is correct
32 Correct 18 ms 22692 KB Output is correct
33 Correct 19 ms 22500 KB Output is correct
34 Correct 107 ms 22428 KB Output is correct
35 Correct 69 ms 22568 KB Output is correct
36 Correct 39 ms 22792 KB Output is correct
37 Correct 33 ms 22864 KB Output is correct
38 Correct 32 ms 22656 KB Output is correct
39 Correct 35 ms 22096 KB Output is correct
40 Correct 116 ms 22904 KB Output is correct
41 Correct 47 ms 22304 KB Output is correct
42 Correct 42 ms 22628 KB Output is correct
43 Correct 42 ms 22616 KB Output is correct
44 Correct 179 ms 23120 KB Output is correct
45 Correct 213 ms 32476 KB Output is correct
46 Correct 8 ms 20824 KB Output is correct
47 Correct 8 ms 21536 KB Output is correct
48 Correct 332 ms 41052 KB Output is correct
49 Correct 216 ms 39760 KB Output is correct
50 Execution timed out 4032 ms 34596 KB Time limit exceeded
51 Halted 0 ms 0 KB -