oj.uz

Submission #951528

# Submission time Handle Problem Language Result Execution time Memory
951528 2024-03-22T05:10:36 Z Nhoksocqt1 Swapping Cities (APIO20_swap) C++17
30 / 100
 585 ms 15784 KB 
#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(chrono::steady_clock::now().time_since_epoch().count());
int Random(int l, int r) {
    return uniform_int_distribution<int>(l, r)(rng);
}

const int MAXN = 100005;

struct Edge {
    int u, v, w;
} edge[2 * MAXN];

ii minw[3];
vector<ii> adj[MAXN];
int deg[MAXN], wEdge[MAXN], maxw, numNode, numEdge;
bool dp[1003][1003], check_sub1, check_sub2;

void init(int _N, int _M, vector<int> _U, vector<int> _V, vector<int> _W) {
    numNode = _N, numEdge = _M;

    minw[0] = minw[1] = minw[2] = {1e9+7, -1};
    check_sub2 = (numEdge + 1 == numNode);
    for (int i = 0; i < numEdge; ++i) {
        edge[i] = {_U[i], _V[i], _W[i]};
        adj[edge[i].u].push_back(ii(edge[i].v, edge[i].w));
        adj[edge[i].v].push_back(ii(edge[i].u, edge[i].w));
        check_sub2 &= (edge[i].u == 0);
        maxw = max(maxw, edge[i].w);

        wEdge[edge[i].v] = edge[i].w;
        if(minw[0].fi > edge[i].w) {
            minw[2] = minw[1], minw[1] = minw[0];
            minw[0] = {edge[i].w, edge[i].v};
        } else
            if(minw[1].fi > edge[i].w) {
                minw[2] = minw[1];
                minw[1] = {edge[i].w, edge[i].v};
            } else
                if(minw[2].fi > edge[i].w) {
                    minw[2] = {edge[i].w, edge[i].v};
                }
    }

    check_sub1 = 1;
    for (int i = 0; i < numNode; ++i)
        check_sub1 &= (sz(adj[i]) <= 2);

    sort(edge, edge + numEdge, [](const Edge &a, const Edge &b) {
        return (a.w < b.w);
    });
}

int sub2(int x, int y) {
    if(numNode <= 3)
        return -1;

    int res = max(wEdge[x], wEdge[y]), cnt(1 + (x == 0));
    for (int k = 0; k < 3; ++k) {
        if(minw[k].se != x && minw[k].se != y) {
            if(--cnt == 0) {
                res = max(res, minw[k].fi);
                break;
            }
        }
    }

    return res;
}

int sub3(int x, int y) {
    int l(0), r(numEdge - 1), ans(-1);
    while(l <= r) {
        int mid = (l + r) >> 1;
        for (int i = 0; i < numNode; ++i) {
            for (int j = 0; j < numNode; ++j)
                dp[i][j] = 0;
        }

        queue<ii> qu;
        qu.push(ii(x, y));
        dp[x][y] = 1;

        int xt(x), yt(y);
        bool check(0);
        while(sz(qu)) {
            int x(qu.front().fi), y(qu.front().se);
            qu.pop();

            if(x == yt && y == xt) {
                check = 1;
                break;
            }

            for (int it = 0; it < sz(adj[x]); ++it) {
                int w(adj[x][it].fi), c(adj[x][it].se);
                if(c <= edge[mid].w && !dp[w][y] && w != y) {
                    dp[w][y] = 1;
                    qu.push(ii(w, y));
                }
            }

            for (int it = 0; it < sz(adj[y]); ++it) {
                int w(adj[y][it].fi), c(adj[y][it].se);
                if(c <= edge[mid].w && !dp[x][w] && x != w) {
                    dp[x][w] = 1;
                    qu.push(ii(x, w));
                }
            }
        }

        if(check) {
            ans = edge[mid].w;
            r = mid - 1;
        } else {
            l = mid + 1;
        }
    }


    return ans;
}

int getMinimumFuelCapacity(int x, int y) {
    if(check_sub1)
        return (numNode == numEdge) ? maxw : -1;

    if(check_sub2)
        return sub2(x, y);

    if(numNode <= 1000)
        return sub3(x, y);

    return -1;
}

#ifdef Nhoksocqt1

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

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

    vector<int> _U, _V, _W;
    int _N, _M, _Q;
    cin >> _N >> _M >> _Q;

    _U.resize(_M), _V.resize(_M), _W.resize(_M);
    for (int i = 0; i < _M; ++i) {
        cin >> _U[i] >> _V[i] >> _W[i];
    }

    init(_N, _M, _U, _V, _W);
    for (int t = 0; t < _Q; ++t) {
        int _X, _Y;
        cin >> _X >> _Y;
        cout << "MINIMUM FUEL CAPACITY " << _X << " TO " << _Y << ": " << getMinimumFuelCapacity(_X, _Y) << '\n';
    }

    return 0;
}

#endif // Nhoksocqt1

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 2 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 32 ms 10864 KB Output is correct
10 Correct 38 ms 11868 KB Output is correct
11 Correct 37 ms 11608 KB Output is correct
12 Correct 41 ms 11864 KB Output is correct
13 Correct 51 ms 12124 KB Output is correct
14 Correct 35 ms 10840 KB Output is correct
15 Correct 87 ms 13532 KB Output is correct
16 Correct 79 ms 13572 KB Output is correct
17 Correct 83 ms 13752 KB Output is correct
18 Correct 95 ms 13756 KB Output is correct
19 Correct 42 ms 10856 KB Output is correct
20 Correct 81 ms 14700 KB Output is correct
21 Correct 80 ms 14868 KB Output is correct
22 Correct 89 ms 15132 KB Output is correct
23 Correct 89 ms 15036 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 79 ms 15424 KB Output is correct
4 Correct 80 ms 15664 KB Output is correct
5 Correct 83 ms 15692 KB Output is correct
6 Correct 75 ms 15784 KB Output is correct
7 Correct 79 ms 15688 KB Output is correct
8 Correct 76 ms 15444 KB Output is correct
9 Correct 88 ms 15656 KB Output is correct
10 Correct 78 ms 15492 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 2 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 127 ms 4956 KB Output is correct
11 Correct 137 ms 4784 KB Output is correct
12 Correct 108 ms 4696 KB Output is correct
13 Correct 106 ms 4780 KB Output is correct
14 Correct 172 ms 4700 KB Output is correct
15 Correct 59 ms 4796 KB Output is correct
16 Correct 141 ms 4696 KB Output is correct
17 Correct 157 ms 4696 KB Output is correct
18 Correct 232 ms 5092 KB Output is correct
19 Correct 210 ms 5212 KB Output is correct
20 Correct 182 ms 4700 KB Output is correct
21 Correct 111 ms 5068 KB Output is correct
22 Correct 85 ms 5008 KB Output is correct
23 Correct 137 ms 4956 KB Output is correct
24 Correct 461 ms 5968 KB Output is correct
25 Correct 373 ms 6004 KB Output is correct
26 Correct 369 ms 4948 KB Output is correct
27 Correct 101 ms 4700 KB Output is correct
28 Correct 585 ms 6172 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 3 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 32 ms 10864 KB Output is correct
11 Correct 38 ms 11868 KB Output is correct
12 Correct 37 ms 11608 KB Output is correct
13 Correct 41 ms 11864 KB Output is correct
14 Correct 51 ms 12124 KB Output is correct
15 Correct 127 ms 4956 KB Output is correct
16 Correct 137 ms 4784 KB Output is correct
17 Correct 108 ms 4696 KB Output is correct
18 Correct 106 ms 4780 KB Output is correct
19 Correct 172 ms 4700 KB Output is correct
20 Correct 59 ms 4796 KB Output is correct
21 Correct 141 ms 4696 KB Output is correct
22 Correct 157 ms 4696 KB Output is correct
23 Correct 232 ms 5092 KB Output is correct
24 Correct 210 ms 5212 KB Output is correct
25 Correct 182 ms 4700 KB Output is correct
26 Correct 111 ms 5068 KB Output is correct
27 Correct 85 ms 5008 KB Output is correct
28 Correct 137 ms 4956 KB Output is correct
29 Correct 461 ms 5968 KB Output is correct
30 Correct 373 ms 6004 KB Output is correct
31 Correct 369 ms 4948 KB Output is correct
32 Correct 101 ms 4700 KB Output is correct
33 Correct 585 ms 6172 KB Output is correct
34 Incorrect 6 ms 5464 KB Output isn't correct
35 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 2 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 32 ms 10864 KB Output is correct
10 Correct 38 ms 11868 KB Output is correct
11 Correct 37 ms 11608 KB Output is correct
12 Correct 41 ms 11864 KB Output is correct
13 Correct 51 ms 12124 KB Output is correct
14 Correct 35 ms 10840 KB Output is correct
15 Correct 87 ms 13532 KB Output is correct
16 Correct 79 ms 13572 KB Output is correct
17 Correct 83 ms 13752 KB Output is correct
18 Correct 95 ms 13756 KB Output is correct
19 Correct 79 ms 15424 KB Output is correct
20 Correct 80 ms 15664 KB Output is correct
21 Correct 83 ms 15692 KB Output is correct
22 Correct 75 ms 15784 KB Output is correct
23 Correct 79 ms 15688 KB Output is correct
24 Correct 76 ms 15444 KB Output is correct
25 Correct 88 ms 15656 KB Output is correct
26 Correct 78 ms 15492 KB Output is correct
27 Correct 127 ms 4956 KB Output is correct
28 Correct 137 ms 4784 KB Output is correct
29 Correct 108 ms 4696 KB Output is correct
30 Correct 106 ms 4780 KB Output is correct
31 Correct 172 ms 4700 KB Output is correct
32 Correct 59 ms 4796 KB Output is correct
33 Correct 141 ms 4696 KB Output is correct
34 Correct 157 ms 4696 KB Output is correct
35 Correct 232 ms 5092 KB Output is correct
36 Incorrect 6 ms 5464 KB Output isn't correct
37 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 3 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 2 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 32 ms 10864 KB Output is correct
11 Correct 38 ms 11868 KB Output is correct
12 Correct 37 ms 11608 KB Output is correct
13 Correct 41 ms 11864 KB Output is correct
14 Correct 51 ms 12124 KB Output is correct
15 Correct 35 ms 10840 KB Output is correct
16 Correct 87 ms 13532 KB Output is correct
17 Correct 79 ms 13572 KB Output is correct
18 Correct 83 ms 13752 KB Output is correct
19 Correct 95 ms 13756 KB Output is correct
20 Correct 79 ms 15424 KB Output is correct
21 Correct 80 ms 15664 KB Output is correct
22 Correct 83 ms 15692 KB Output is correct
23 Correct 75 ms 15784 KB Output is correct
24 Correct 79 ms 15688 KB Output is correct
25 Correct 76 ms 15444 KB Output is correct
26 Correct 88 ms 15656 KB Output is correct
27 Correct 78 ms 15492 KB Output is correct
28 Correct 127 ms 4956 KB Output is correct
29 Correct 137 ms 4784 KB Output is correct
30 Correct 108 ms 4696 KB Output is correct
31 Correct 106 ms 4780 KB Output is correct
32 Correct 172 ms 4700 KB Output is correct
33 Correct 59 ms 4796 KB Output is correct
34 Correct 141 ms 4696 KB Output is correct
35 Correct 157 ms 4696 KB Output is correct
36 Correct 232 ms 5092 KB Output is correct
37 Incorrect 6 ms 5464 KB Output isn't correct
38 Halted 0 ms 0 KB -