oj.uz

Submission #680948

# Submission time Handle Problem Language Result Execution time Memory
680948 2023-01-12T05:53:14 Z HaiHoang Relay Marathon (NOI20_relaymarathon) C++17
17 / 100
 56 ms 8140 KB 
/**
*   NAME : PHAM VAN SAM
*   DATE : 12.01.2023 08:03:57
*  ┌───┐   ┌───┬───┬───┬───┐ ┌───┬───┬───┬───┐ ┌───┬───┬───┬───┐ ┌───┬───┬───┐
*  │Esc│   │ F1│ F2│ F3│ F4│ │ F5│ F6│ F7│ F8│ │ F9│F10│F11│F12│ │P/S│S L│P/B│  ┌┐    ┌┐    ┌┐
*  └───┘   └───┴───┴───┴───┘ └───┴───┴───┴───┘ └───┴───┴───┴───┘ └───┴───┴───┘  └┘    └┘    └┘
*  ┌───┬───┬───┬───┬───┬───┬───┬───┬───┬───┬───┬───┬───┬───────┐ ┌───┬───┬───┐ ┌───┬───┬───┬───┐
*  │~ `│! 1│@ 2│# 3│$ 4│% 5│^ 6│& 7│* 8│( 9│) 0│_ -│+ =│ BacSp │ │Ins│Hom│PUp│ │Num│ / │ * │ - │
*  ├───┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─────┤ ├───┼───┼───┤ ├───┼───┼───┼───┤
*  │ Tab │ Q │ W │ E │ R │ T │ Y │ U │ I │ O │ P │{ [│} ]│ | \ │ │Del│End│PDn│ │ 7 │ 8 │ 9 │   │
*  ├─────┴┬──┴┬──┴┬──┴┬──┴┬──┴┬──┴┬──┴┬──┴┬──┴┬──┴┬──┴┬──┴─────┤ └───┴───┴───┘ ├───┼───┼───┤ + │
*  │ Caps │ A │ S │ D │ F │ G │ H │ J │ K │ L │: ;│" '│ Enter  │               │ 4 │ 5 │ 6 │   │
*  ├──────┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴─┬─┴────────┤     ┌───┐     ├───┼───┼───┼───┤
*  │ Shift  │ Z │ X │ C │ V │ B │ N │ M │< ,│> .│? /│  Shift   │     │ ↑ │     │ 1 │ 2 │ 3 │   │
*  ├─────┬──┴─┬─┴──┬┴───┴───┴───┴───┴───┴──┬┴───┼───┴┬────┬────┤ ┌───┼───┼───┐ ├───┴───┼───┤ E││
*  │ Ctrl│ Win│ Alt│         Space         │ Alt│ Win│Menu│Ctrl│ │ ← │ ↓ │ → │ │   0   │ . │←─┘│
*  └─────┴────┴────┴───────────────────────┴────┴────┴────┴────┘ └───┴───┴───┘ └───────┴───┴───┘
**/
#pragma GCC optimize("O3")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#define int long long
#define MASK(x) (1LL << (x))
#define BIT(x, k) (((x) >> (k)) & 1LL)
#define all(x) (x).begin(),(x).end()
#define For(i, a, b) for (int i = (a); i <= (b); ++i)
#define Fod(i, a, b) for (int i = (a); i >= (b); --i)
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define Fore(i, a) for (__typeof((a).begin()) i = (a).begin(); i != (a).end(); ++i)
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define file(TASK) if(fopen(TASK".inp", "r")) { freopen(TASK".inp", "r", stdin); freopen(TASK".out", "w", stdout); }

template <class U, class V> bool maximize(U &A, const V &B){ return (A < B) ? (A = B, true) : false;}
template <class U, class V> bool minimize(U &A, const V &B){ return (A > B) ? (A = B, true) : false;}

using namespace std;

mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
int Rand(int l, int r) { return l + rnd() % (r - l + 1); }
const int MAXN = 1e5 + 5;
int N, M, K, d[MAXN];
vector <pair <int, int>> ke[MAXN];
vector <int> special;
bool dd[MAXN];
namespace sub1 {
    int dp[55][55];
    void dijkstra (int u) {
        priority_queue <pair <int, int>, vector <pair <int, int>>, greater <pair <int, int>>> heap;
        fill(dp[u] + 1, dp[u] + N + 1, 2e9);
        dp[u][u] = 0;
        heap.push(make_pair(dp[u][u], u));
        while(heap.size()) {
            int x = heap.top().second;
            int w1 = heap.top().first;
            heap.pop();
            if(dp[u][x] != w1) continue;
            for (auto [v, w] : ke[x]) if(minimize(dp[u][v], dp[u][x] + w)) {
                heap.push(make_pair(dp[u][v], v));
            }
        }
    }
    void Main() {
        int ans = 2e9;
        for (auto u : special) dijkstra(u);
        rep (i, (int) special.size()) {
            rep (j, (int) special.size()) {
                For (u, i + 1, (int) special.size() - 1) {
                    if(dp[special[i]][special[u]] == 2e9) continue;
                    For (v, j + 1, (int) special.size() - 1){
                        if(dp[special[j]][special[v]] == 2e9) continue;
                        if(i != v && i != j && u != j && u != v) {
                            minimize(ans, dp[special[i]][special[u]] + dp[special[j]][special[v]]);
                        }
                    }
                }
            }
        }
        cout << ans << '\n';
    }
}
namespace LieuAnNhieu{
    int trace[MAXN];
    struct SegmentTree {
        vector <int> it;
        SegmentTree() = default;
        SegmentTree(int n) : it(4 * n + 5, 2e9) {}
        void update(int idx, int l, int r, int u, int x) {
            if(l > u || r < u) return;
            if(l == r) return void(minimize(it[idx], x));
            int mid = (l + r) >> 1;
            update(idx << 1, l, mid, u, x);
            update(idx << 1 | 1, mid + 1, r, u, x);
            it[idx] = min(it[idx << 1], it[idx << 1 | 1]);
        }
        int get(int idx, int l, int r, int u, int v) {
            if(l > v || r < u) return 2e9;
            if(l >= u && r <= v) return it[idx];
            int mid = (l + r) >> 1;
            return min(get(idx << 1, l, mid, u, v), get(idx << 1 | 1, mid + 1, r, u, v));
        }
    };
    struct Data {
        int u, v, w;
        Data(int u, int v, int w) {
            this-> u = u;
            this-> v = v;
            this-> w = w;
        }
        friend bool operator < (const Data &A, const Data &B) {
            return (A.w < B.w || (A.w == B.w && A.u < B.u));
        }
        friend bool operator == (const Data &A, const Data &B) {
            return (A.w == B.w && A.u == B.u && A.v == B.v);
        }
    };
    vector <Data> val;
    void dijkstra(int bit, int type) {
        fill(d + 1, d + N + 1, 1e9);
        priority_queue <pair <int, int>, vector <pair <int, int>>, greater <pair <int, int>>> heap;
        for (auto x : special) if(BIT(x, bit) == type) {
            d[x] = 0;
            trace[x] = x;
            heap.push(make_pair(0, x));
        }
        while(heap.size()) {
            int u = heap.top().second;
            int w1 = heap.top().first;
            heap.pop();
            if(d[u] != w1) continue;
            for (auto [v, w] : ke[u]) if(minimize(d[v], d[u] + w)) {
                heap.push(make_pair(d[v], v));
                trace[v] = trace[u];
            }
        }
        for (auto x : special) {
            if(BIT(x, bit) == type || d[x] == 1e9) continue;
            val.push_back(Data(min(x, trace[x]), max(x, trace[x]), d[x]));
        }
        sort (val.begin(), val.end());
        val.erase(unique(val.begin(), val.end()), val.end());
        while(val.size() > K) val.pop_back();
    }
    void lieu_thi_an_nhieu() {
        For (i, 0, 16) {
            dijkstra(i, 0);
            dijkstra(i, 1);
        }
        // return;
        SegmentTree IT(N);
        int ans = 2e9;
        int j = 0;
        sort (val.begin(), val.end(), [](Data A, Data B) {
            return A.u < B.u;
        });
        For (i, 0, (int) val.size()) {
            while(j < i && val[j].u < val[i].u) {
                IT.update(1, 1, N, val[j].v, val[j].w);
                j++;
            }
            minimize(ans, val[i].w + min({IT.get(1, 1, N, 1, val[i].u - 1), 
                                          IT.get(1, 1, N, val[i].u + 1, val[i].v - 1), 
                                          IT.get(1, 1, N, val[i].v + 1, N)}));
        }
        cout << ans << '\n';
    }
}
namespace sub3 {
    int dp[MAXN], trace[MAXN];
    priority_queue <pair <int, int>, vector <pair <int, int>>, greater <pair <int, int>>> heap;
    int x1 = 0, x2 = 0, y1 = 0, y2 = 0;
    void dijkstra() {
        fill (dp + 1, dp + N + 1, 2e9);
        for (auto x : special) {
            if(x == x1 || x == x2) continue;
            dp[x] = 0; trace[x] = x;
            heap.push(make_pair(0, x));
        }
        while(heap.size()) {
            int u = heap.top().second;
            int w1 = heap.top().first;
            heap.pop();
            if(dp[u] != w1) continue;
            for (auto [v, w] : ke[u]) if(minimize(dp[v], dp[u] + w)) {
                heap.push(make_pair(dp[v], v));
                trace[v] = trace[u];
            }
        }
    }
    void Main() {
        dijkstra();
        int Min1 = 2e9;
        For (u, 1, N) {
            for (auto [v, w] : ke[u]) {
                if(minimize(Min1, dp[u] + dp[v] + w)) {
                    x1 = trace[u]; x2 = trace[v];
                }
            }
        }
        int Min2 = 2e9;
        dijkstra();
        For (u, 1, N) {
            for (auto [v, w] : ke[u]) {
                if(x1 != trace[u] && x2 != trace[u] && x1 != trace[v] && x2 != trace[v]) {
                    if(minimize(Min2, dp[u] + dp[v] + w));
                }
            }
        }
        cout << Min1 + Min2;

    }
}
void solve(void) {
    cin >> N >> M >> K;
    while(M--) {
        int u, v, w; cin >> u >> v >> w;
        ke[u].push_back(make_pair(v, w));
        ke[v].push_back(make_pair(u, w));
    }
    For (i, 1, K) {
        int x; cin >> x; special.push_back(x);
    }
    if(N <= 50) sub1::Main();
    else if(N <= 500) LieuAnNhieu::lieu_thi_an_nhieu();
    else sub3::Main();
}
signed main() {
    file("4SPECIAL");
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    int test; test = 1; 
    // cin >> test;
    while(test--) { 
        solve();
        cout << '\n';
    }
    // cerr << "Time elapsed: " << TIME << " s.\n";
    return (0 ^ 0);
}

Compilation message

RelayMarathon.cpp: In function 'void LieuAnNhieu::dijkstra(long long int, long long int)':
RelayMarathon.cpp:141:26: warning: comparison of integer expressions of different signedness: 'std::vector<LieuAnNhieu::Data>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
  141 |         while(val.size() > K) val.pop_back();
      |               ~~~~~~~~~~~^~~
RelayMarathon.cpp: In function 'int main()':
RelayMarathon.cpp:31:56: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   31 | #define file(TASK) if(fopen(TASK".inp", "r")) { freopen(TASK".inp", "r", stdin); freopen(TASK".out", "w", stdout); }
      |                                                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
RelayMarathon.cpp:227:5: note: in expansion of macro 'file'
  227 |     file("4SPECIAL");
      |     ^~~~
RelayMarathon.cpp:31:89: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   31 | #define file(TASK) if(fopen(TASK".inp", "r")) { freopen(TASK".inp", "r", stdin); freopen(TASK".out", "w", stdout); }
      |                                                                                  ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
RelayMarathon.cpp:227:5: note: in expansion of macro 'file'
  227 |     file("4SPECIAL");
      |     ^~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2792 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 4 ms 2720 KB Output is correct
12 Correct 3 ms 2644 KB Output is correct
13 Correct 4 ms 2772 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 6 ms 2800 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 7 ms 2768 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 6 ms 2796 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 3 ms 2644 KB Output is correct
22 Correct 2 ms 2644 KB Output is correct
23 Correct 5 ms 2644 KB Output is correct
24 Correct 2 ms 2644 KB Output is correct
25 Correct 2 ms 2720 KB Output is correct
26 Correct 2 ms 2656 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 5 ms 2772 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 3 ms 2772 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2792 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 4 ms 2720 KB Output is correct
12 Correct 3 ms 2644 KB Output is correct
13 Correct 4 ms 2772 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 6 ms 2800 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 7 ms 2768 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 6 ms 2796 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 3 ms 2644 KB Output is correct
22 Correct 2 ms 2644 KB Output is correct
23 Correct 5 ms 2644 KB Output is correct
24 Correct 2 ms 2644 KB Output is correct
25 Correct 2 ms 2720 KB Output is correct
26 Correct 2 ms 2656 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 5 ms 2772 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 3 ms 2772 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 3 ms 2644 KB Output is correct
33 Correct 3 ms 2644 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 2 ms 2644 KB Output is correct
36 Correct 7 ms 2900 KB Output is correct
37 Correct 7 ms 3028 KB Output is correct
38 Correct 3 ms 2772 KB Output is correct
39 Correct 30 ms 7172 KB Output is correct
40 Correct 12 ms 3796 KB Output is correct
41 Correct 3 ms 2772 KB Output is correct
42 Correct 11 ms 3796 KB Output is correct
43 Correct 6 ms 2900 KB Output is correct
44 Correct 3 ms 2772 KB Output is correct
45 Correct 2 ms 2644 KB Output is correct
46 Correct 34 ms 7264 KB Output is correct
47 Correct 10 ms 3284 KB Output is correct
48 Correct 31 ms 7184 KB Output is correct
49 Correct 28 ms 7128 KB Output is correct
50 Correct 3 ms 2644 KB Output is correct
51 Correct 4 ms 2772 KB Output is correct
52 Correct 3 ms 2748 KB Output is correct
53 Correct 19 ms 4948 KB Output is correct
54 Correct 31 ms 7260 KB Output is correct
55 Correct 3 ms 2644 KB Output is correct
56 Correct 2 ms 2644 KB Output is correct
57 Correct 3 ms 2644 KB Output is correct
58 Correct 36 ms 7196 KB Output is correct
59 Correct 2 ms 2644 KB Output is correct
60 Correct 4 ms 2772 KB Output is correct

Subtask #3
0 / 25.0

# Verdict Execution time Memory Grader output
1 Incorrect 56 ms 8140 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2772 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2792 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 4 ms 2720 KB Output is correct
12 Correct 3 ms 2644 KB Output is correct
13 Correct 4 ms 2772 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 6 ms 2800 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 7 ms 2768 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 6 ms 2796 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 3 ms 2644 KB Output is correct
22 Correct 2 ms 2644 KB Output is correct
23 Correct 5 ms 2644 KB Output is correct
24 Correct 2 ms 2644 KB Output is correct
25 Correct 2 ms 2720 KB Output is correct
26 Correct 2 ms 2656 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 5 ms 2772 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 3 ms 2772 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 3 ms 2644 KB Output is correct
33 Correct 3 ms 2644 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 2 ms 2644 KB Output is correct
36 Correct 7 ms 2900 KB Output is correct
37 Correct 7 ms 3028 KB Output is correct
38 Correct 3 ms 2772 KB Output is correct
39 Correct 30 ms 7172 KB Output is correct
40 Correct 12 ms 3796 KB Output is correct
41 Correct 3 ms 2772 KB Output is correct
42 Correct 11 ms 3796 KB Output is correct
43 Correct 6 ms 2900 KB Output is correct
44 Correct 3 ms 2772 KB Output is correct
45 Correct 2 ms 2644 KB Output is correct
46 Correct 34 ms 7264 KB Output is correct
47 Correct 10 ms 3284 KB Output is correct
48 Correct 31 ms 7184 KB Output is correct
49 Correct 28 ms 7128 KB Output is correct
50 Correct 3 ms 2644 KB Output is correct
51 Correct 4 ms 2772 KB Output is correct
52 Correct 3 ms 2748 KB Output is correct
53 Correct 19 ms 4948 KB Output is correct
54 Correct 31 ms 7260 KB Output is correct
55 Correct 3 ms 2644 KB Output is correct
56 Correct 2 ms 2644 KB Output is correct
57 Correct 3 ms 2644 KB Output is correct
58 Correct 36 ms 7196 KB Output is correct
59 Correct 2 ms 2644 KB Output is correct
60 Correct 4 ms 2772 KB Output is correct
61 Incorrect 56 ms 8140 KB Output isn't correct
62 Halted 0 ms 0 KB -