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Submission #744297

# Submission time Handle Problem Language Result Execution time Memory
744297 2023-05-18T10:52:49 Z nhphucqt Relay Marathon (NOI20_relaymarathon) C++17
100 / 100
 2931 ms 160400 KB 
#include <bits/stdc++.h>

using namespace std;

const long long MAX = 0x3f3f3f3f3f3f3f3f;

template<typename T>
bool minimize(T&x,T y) {
    return x > y ? x = y, true : false;
}

int buckSiz;
pair<long long, int> bucket[8];

struct FourMin {
    pair<long long, int> v[4];

    FourMin() {
        for (int i = 0; i < 4; ++i) {
            v[i] = make_pair(MAX, -1);
        }
    }

    FourMin operator + (long long x) const {
        FourMin tmp;
        for (int i = 0; i < 4; ++i) {
            if (v[i].second != -1) {
                tmp.v[i].first = v[i].first + x; 
                tmp.v[i].second = v[i].second;
            }
        }
        return tmp;
    }
    
    bool update(const FourMin& val) {
        buckSiz = 0;
        for (int i = 0; i < 4; ++i) {
            bucket[buckSiz++] = v[i];
            bucket[buckSiz++] = val.v[i];
        }
        sort(bucket, bucket+buckSiz);
        bool flag = false;
        int j = 0;
        for (int i = 0; i < buckSiz; ++i) {
            bool found = false;
            for (int k = 0; k < j; ++k) {
                if (v[k].second == bucket[i].second && bucket[i].second != -1) {
                    found = true;
                    break;
                }
            }
            if (!found) {
                flag |= v[j] > bucket[i];
                v[j++] = bucket[i];
                if (j == 4) {
                    break;
                }
            }
        }
        return flag;
    }

    void update(const pair<long long, int>& x) {
        buckSiz = 0;
        for (int i = 0; i < 4; ++i) {
            bucket[buckSiz++] = v[i];
        }
        bucket[buckSiz++] = x;
        sort(bucket,bucket+buckSiz);
        int j = 0;
        for (int i = 0; i < buckSiz; ++i) {
            bool found = false;
            for (int k = 0; k < j; ++k) {
                if (v[k].second == bucket[i].second && bucket[i].second != -1) {
                    found = true;
                    break;
                }
            }
            if (!found) {
                v[j++] = bucket[i];
                if (j == 4) {
                    break;
                }
            }
        }
    }

    bool operator < (const FourMin& val) const {
        for (int i = 0; i < 4; ++i) {
            if (v[i].first != val.v[i].first) {
                return v[i].first > val.v[i].first;
            }
        }
        return true;
    }

    bool operator != (const FourMin& val) const {
        for (int i = 0; i < 4; ++i) {
            if (v[i] != val.v[i]) {
                return true;
            }
        }
        return false;
    }

    friend ostream& operator << (ostream& os, const FourMin& val) {
        for (int i = 0; i < 4; ++i) {
            os << i << " -> " << val.v[i].first << ' ' << val.v[i].second << '\n';
            os << "------\n";
        }
        return os;
    }
};

const int N = 1e5+7;
int numNode, numEdge, numSpec;
vector<pair<int,int>> adj[N];
vector<int> specs;
FourMin dist[N];
long long res;
int src[2], snk[2];
int candSiz;
pair<long long, pair<int,int>> candidates[N*4];

void dijkstra() {
    priority_queue<pair<FourMin, int>> heap;
    for (int x : specs) {
        dist[x].v[0] = make_pair(0, x);
        heap.emplace(dist[x], x);
    }
    while (!heap.empty()) {
        int u = heap.top().second;
        FourMin w = heap.top().first;
        // cerr << " >> " << u << '\n';
        heap.pop();
        if (dist[u] != w) {
            continue;
        }
        for (pair<int,int> e : adj[u]) {
            int v = e.first;
            int w = e.second;
            // cerr << u << ": \n" << (dist[u]);
            // cerr << v << ": \n" << dist[v];
            if (dist[v].update(dist[u] + w)) {
                // cerr << v << ": \n" << dist[v];
                heap.emplace(dist[v], v);
            }
        }
    }
}

bool deepdiff(const pair<int,int>& a, const pair<int,int>& b) {
    return a.first != b.first && a.first != b.second && a.second != b.first && a.second != b.second;
}

void processCaseOne() {
    pair<int,int> clos = candidates[0].second;
    // cerr << " >> ";
    // cerr << clos.first << ' ' << clos.second << '\n';
    for (int i = 1; i < candSiz; ++i) {
        if (deepdiff(clos, candidates[i].second)) {
            res = candidates[0].first + candidates[i].first;
            src[0] = clos.first;
            snk[0] = clos.second;
            src[1] = candidates[i].second.first;
            snk[1] = candidates[i].second.second;
            return;
        }
    }
}

void updateResult(long long r, int _src1, int _snk1, int _src2, int _snk2) {
    if (minimize(res, r)) {
        src[0] = _src1;
        snk[0] = _snk1;
        src[1] = _src2;
        snk[1] = _snk2;
    }
}

void processCaseTwo() {
    int beg[2];
    beg[0] = candidates[0].second.first;
    beg[1] = candidates[0].second.second;
    FourMin fm[2];
    for (int i = 0; i < candSiz; ++i) {
        for (int j = 0; j < 2; ++j) {
            if (candidates[i].second.first == beg[j] && candidates[i].second.second != beg[!j]) {
                fm[j].update(make_pair(candidates[i].first, candidates[i].second.second));
            } else if (candidates[i].second.second == beg[j] && candidates[i].second.first != beg[!j]) {
                fm[j].update(make_pair(candidates[i].first, candidates[i].second.first));
            }
        }
    }
    for (int i = 0; i < 4; ++i) {
        for (int j = 0; j < 4; ++j) {
            if (fm[0].v[i].second != fm[1].v[j].second) {
                updateResult(fm[0].v[i].first+fm[1].v[j].first, beg[0], fm[0].v[i].second, beg[1], fm[1].v[j].second);
            }
        }
    }
}

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);

    cin >> numNode >> numEdge >> numSpec;
    for (int i = 0; i < numEdge; ++i) {
        int x, y, w;
        cin >> x >> y >> w;
        adj[x].emplace_back(y, w);
        adj[y].emplace_back(x, w);
    }
    for (int i = 0; i < numSpec; ++i) {
        int x;
        cin >> x;
        specs.push_back(x);
    }
    dijkstra();

    // for (int i = 1; i <= numNode; ++i) {
    //     for (int j = 0; j < 4; ++j) {
    //         cerr << i << " : " << j << " -> " << dist[i].v[j].first << ' ' << dist[i].v[j].second << '\n';
    //     }
    // }

    for (int i = 1; i <= numNode; ++i) {
        for (int j = 0; j < 4; ++j)
        for (int k = j+1; k < 4; ++k) {
            if (dist[i].v[j].second != -1 && dist[i].v[k].second != -1) {
                candidates[candSiz++] = make_pair(dist[i].v[j].first+dist[i].v[k].first, make_pair(dist[i].v[j].second, dist[i].v[k].second));
            }
        }
    }

    sort(candidates, candidates+candSiz);

    processCaseOne();
    processCaseTwo();

    cout << res;

    // for (int i = 0; i < 2; ++i) {
    //     cerr << " >>> " << src[i] << ' ' << snk[i] << '\n';
    // }

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8948 KB Output is correct
2 Correct 6 ms 8976 KB Output is correct
3 Correct 5 ms 8948 KB Output is correct
4 Correct 4 ms 8940 KB Output is correct
5 Correct 5 ms 8988 KB Output is correct
6 Correct 5 ms 8936 KB Output is correct
7 Correct 6 ms 8952 KB Output is correct
8 Correct 5 ms 9044 KB Output is correct
9 Correct 5 ms 8916 KB Output is correct
10 Correct 5 ms 8916 KB Output is correct
11 Correct 5 ms 8916 KB Output is correct
12 Correct 5 ms 8916 KB Output is correct
13 Correct 5 ms 9044 KB Output is correct
14 Correct 5 ms 9036 KB Output is correct
15 Correct 5 ms 8948 KB Output is correct
16 Correct 5 ms 8916 KB Output is correct
17 Correct 5 ms 9016 KB Output is correct
18 Correct 4 ms 8940 KB Output is correct
19 Correct 6 ms 9044 KB Output is correct
20 Correct 5 ms 8916 KB Output is correct
21 Correct 5 ms 9028 KB Output is correct
22 Correct 5 ms 8916 KB Output is correct
23 Correct 5 ms 8956 KB Output is correct
24 Correct 4 ms 8924 KB Output is correct
25 Correct 5 ms 8940 KB Output is correct
26 Correct 5 ms 8944 KB Output is correct
27 Correct 4 ms 8916 KB Output is correct
28 Correct 5 ms 9044 KB Output is correct
29 Correct 5 ms 9044 KB Output is correct
30 Correct 5 ms 8976 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8948 KB Output is correct
2 Correct 6 ms 8976 KB Output is correct
3 Correct 5 ms 8948 KB Output is correct
4 Correct 4 ms 8940 KB Output is correct
5 Correct 5 ms 8988 KB Output is correct
6 Correct 5 ms 8936 KB Output is correct
7 Correct 6 ms 8952 KB Output is correct
8 Correct 5 ms 9044 KB Output is correct
9 Correct 5 ms 8916 KB Output is correct
10 Correct 5 ms 8916 KB Output is correct
11 Correct 5 ms 8916 KB Output is correct
12 Correct 5 ms 8916 KB Output is correct
13 Correct 5 ms 9044 KB Output is correct
14 Correct 5 ms 9036 KB Output is correct
15 Correct 5 ms 8948 KB Output is correct
16 Correct 5 ms 8916 KB Output is correct
17 Correct 5 ms 9016 KB Output is correct
18 Correct 4 ms 8940 KB Output is correct
19 Correct 6 ms 9044 KB Output is correct
20 Correct 5 ms 8916 KB Output is correct
21 Correct 5 ms 9028 KB Output is correct
22 Correct 5 ms 8916 KB Output is correct
23 Correct 5 ms 8956 KB Output is correct
24 Correct 4 ms 8924 KB Output is correct
25 Correct 5 ms 8940 KB Output is correct
26 Correct 5 ms 8944 KB Output is correct
27 Correct 4 ms 8916 KB Output is correct
28 Correct 5 ms 9044 KB Output is correct
29 Correct 5 ms 9044 KB Output is correct
30 Correct 5 ms 8976 KB Output is correct
31 Correct 5 ms 8916 KB Output is correct
32 Correct 5 ms 9044 KB Output is correct
33 Correct 6 ms 9088 KB Output is correct
34 Correct 5 ms 8916 KB Output is correct
35 Correct 7 ms 8944 KB Output is correct
36 Correct 11 ms 9544 KB Output is correct
37 Correct 13 ms 9580 KB Output is correct
38 Correct 6 ms 9044 KB Output is correct
39 Correct 47 ms 12844 KB Output is correct
40 Correct 14 ms 10084 KB Output is correct
41 Correct 6 ms 9080 KB Output is correct
42 Correct 14 ms 10052 KB Output is correct
43 Correct 7 ms 9300 KB Output is correct
44 Correct 8 ms 9044 KB Output is correct
45 Correct 5 ms 8952 KB Output is correct
46 Correct 56 ms 13036 KB Output is correct
47 Correct 12 ms 9832 KB Output is correct
48 Correct 42 ms 12748 KB Output is correct
49 Correct 44 ms 12852 KB Output is correct
50 Correct 6 ms 9080 KB Output is correct
51 Correct 6 ms 9076 KB Output is correct
52 Correct 6 ms 9044 KB Output is correct
53 Correct 28 ms 11332 KB Output is correct
54 Correct 44 ms 12848 KB Output is correct
55 Correct 7 ms 9044 KB Output is correct
56 Correct 6 ms 8916 KB Output is correct
57 Correct 5 ms 9044 KB Output is correct
58 Correct 61 ms 13272 KB Output is correct
59 Correct 5 ms 8940 KB Output is correct
60 Correct 6 ms 9172 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 135 ms 17612 KB Output is correct
2 Correct 9 ms 9428 KB Output is correct
3 Correct 2602 ms 145332 KB Output is correct
4 Correct 1311 ms 87516 KB Output is correct
5 Correct 500 ms 26380 KB Output is correct
6 Correct 322 ms 21764 KB Output is correct
7 Correct 459 ms 27308 KB Output is correct
8 Correct 145 ms 18256 KB Output is correct
9 Correct 298 ms 21296 KB Output is correct
10 Correct 194 ms 19844 KB Output is correct
11 Correct 2574 ms 147820 KB Output is correct
12 Correct 231 ms 20252 KB Output is correct
13 Correct 907 ms 71512 KB Output is correct
14 Correct 471 ms 36728 KB Output is correct
15 Correct 2597 ms 146412 KB Output is correct
16 Correct 102 ms 15780 KB Output is correct
17 Correct 2041 ms 129116 KB Output is correct
18 Correct 10 ms 9556 KB Output is correct
19 Correct 2828 ms 149044 KB Output is correct
20 Correct 402 ms 26816 KB Output is correct
21 Correct 361 ms 25956 KB Output is correct
22 Correct 191 ms 19588 KB Output is correct
23 Correct 22 ms 11440 KB Output is correct
24 Correct 1750 ms 135796 KB Output is correct
25 Correct 288 ms 21468 KB Output is correct
26 Correct 136 ms 18136 KB Output is correct
27 Correct 231 ms 20472 KB Output is correct
28 Correct 20 ms 10444 KB Output is correct
29 Correct 445 ms 27056 KB Output is correct
30 Correct 837 ms 64284 KB Output is correct

Subtask #4
58.0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8948 KB Output is correct
2 Correct 6 ms 8976 KB Output is correct
3 Correct 5 ms 8948 KB Output is correct
4 Correct 4 ms 8940 KB Output is correct
5 Correct 5 ms 8988 KB Output is correct
6 Correct 5 ms 8936 KB Output is correct
7 Correct 6 ms 8952 KB Output is correct
8 Correct 5 ms 9044 KB Output is correct
9 Correct 5 ms 8916 KB Output is correct
10 Correct 5 ms 8916 KB Output is correct
11 Correct 5 ms 8916 KB Output is correct
12 Correct 5 ms 8916 KB Output is correct
13 Correct 5 ms 9044 KB Output is correct
14 Correct 5 ms 9036 KB Output is correct
15 Correct 5 ms 8948 KB Output is correct
16 Correct 5 ms 8916 KB Output is correct
17 Correct 5 ms 9016 KB Output is correct
18 Correct 4 ms 8940 KB Output is correct
19 Correct 6 ms 9044 KB Output is correct
20 Correct 5 ms 8916 KB Output is correct
21 Correct 5 ms 9028 KB Output is correct
22 Correct 5 ms 8916 KB Output is correct
23 Correct 5 ms 8956 KB Output is correct
24 Correct 4 ms 8924 KB Output is correct
25 Correct 5 ms 8940 KB Output is correct
26 Correct 5 ms 8944 KB Output is correct
27 Correct 4 ms 8916 KB Output is correct
28 Correct 5 ms 9044 KB Output is correct
29 Correct 5 ms 9044 KB Output is correct
30 Correct 5 ms 8976 KB Output is correct
31 Correct 5 ms 8916 KB Output is correct
32 Correct 5 ms 9044 KB Output is correct
33 Correct 6 ms 9088 KB Output is correct
34 Correct 5 ms 8916 KB Output is correct
35 Correct 7 ms 8944 KB Output is correct
36 Correct 11 ms 9544 KB Output is correct
37 Correct 13 ms 9580 KB Output is correct
38 Correct 6 ms 9044 KB Output is correct
39 Correct 47 ms 12844 KB Output is correct
40 Correct 14 ms 10084 KB Output is correct
41 Correct 6 ms 9080 KB Output is correct
42 Correct 14 ms 10052 KB Output is correct
43 Correct 7 ms 9300 KB Output is correct
44 Correct 8 ms 9044 KB Output is correct
45 Correct 5 ms 8952 KB Output is correct
46 Correct 56 ms 13036 KB Output is correct
47 Correct 12 ms 9832 KB Output is correct
48 Correct 42 ms 12748 KB Output is correct
49 Correct 44 ms 12852 KB Output is correct
50 Correct 6 ms 9080 KB Output is correct
51 Correct 6 ms 9076 KB Output is correct
52 Correct 6 ms 9044 KB Output is correct
53 Correct 28 ms 11332 KB Output is correct
54 Correct 44 ms 12848 KB Output is correct
55 Correct 7 ms 9044 KB Output is correct
56 Correct 6 ms 8916 KB Output is correct
57 Correct 5 ms 9044 KB Output is correct
58 Correct 61 ms 13272 KB Output is correct
59 Correct 5 ms 8940 KB Output is correct
60 Correct 6 ms 9172 KB Output is correct
61 Correct 135 ms 17612 KB Output is correct
62 Correct 9 ms 9428 KB Output is correct
63 Correct 2602 ms 145332 KB Output is correct
64 Correct 1311 ms 87516 KB Output is correct
65 Correct 500 ms 26380 KB Output is correct
66 Correct 322 ms 21764 KB Output is correct
67 Correct 459 ms 27308 KB Output is correct
68 Correct 145 ms 18256 KB Output is correct
69 Correct 298 ms 21296 KB Output is correct
70 Correct 194 ms 19844 KB Output is correct
71 Correct 2574 ms 147820 KB Output is correct
72 Correct 231 ms 20252 KB Output is correct
73 Correct 907 ms 71512 KB Output is correct
74 Correct 471 ms 36728 KB Output is correct
75 Correct 2597 ms 146412 KB Output is correct
76 Correct 102 ms 15780 KB Output is correct
77 Correct 2041 ms 129116 KB Output is correct
78 Correct 10 ms 9556 KB Output is correct
79 Correct 2828 ms 149044 KB Output is correct
80 Correct 402 ms 26816 KB Output is correct
81 Correct 361 ms 25956 KB Output is correct
82 Correct 191 ms 19588 KB Output is correct
83 Correct 22 ms 11440 KB Output is correct
84 Correct 1750 ms 135796 KB Output is correct
85 Correct 288 ms 21468 KB Output is correct
86 Correct 136 ms 18136 KB Output is correct
87 Correct 231 ms 20472 KB Output is correct
88 Correct 20 ms 10444 KB Output is correct
89 Correct 445 ms 27056 KB Output is correct
90 Correct 837 ms 64284 KB Output is correct
91 Correct 271 ms 20960 KB Output is correct
92 Correct 2670 ms 153744 KB Output is correct
93 Correct 460 ms 27372 KB Output is correct
94 Correct 1966 ms 125344 KB Output is correct
95 Correct 11 ms 9496 KB Output is correct
96 Correct 10 ms 9684 KB Output is correct
97 Correct 570 ms 39920 KB Output is correct
98 Correct 262 ms 20860 KB Output is correct
99 Correct 298 ms 21508 KB Output is correct
100 Correct 2871 ms 159672 KB Output is correct
101 Correct 1527 ms 123348 KB Output is correct
102 Correct 1351 ms 85696 KB Output is correct
103 Correct 2148 ms 137316 KB Output is correct
104 Correct 2659 ms 142676 KB Output is correct
105 Correct 171 ms 18384 KB Output is correct
106 Correct 2202 ms 137556 KB Output is correct
107 Correct 888 ms 66092 KB Output is correct
108 Correct 418 ms 26448 KB Output is correct
109 Correct 19 ms 10952 KB Output is correct
110 Correct 117 ms 16852 KB Output is correct
111 Correct 442 ms 26704 KB Output is correct
112 Correct 2931 ms 159880 KB Output is correct
113 Correct 2782 ms 160400 KB Output is correct
114 Correct 423 ms 26216 KB Output is correct
115 Correct 1166 ms 84560 KB Output is correct
116 Correct 2678 ms 151868 KB Output is correct
117 Correct 1890 ms 136188 KB Output is correct
118 Correct 1815 ms 129560 KB Output is correct
119 Correct 2461 ms 144016 KB Output is correct
120 Correct 1906 ms 119584 KB Output is correct