oj.uz

Submission #550737

# Submission time Handle Problem Language Result Execution time Memory
550737 2022-04-18T23:44:05 Z BalintR Reconstruction Project (JOI22_reconstruction) C++17
35 / 100
 788 ms 19072 KB 
#include <bits/stdc++.h>
using namespace std;

typedef unsigned uint;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii> vpii;
typedef complex<double> cmplx;
template <typename T> using minPq = priority_queue<T, vector<T>, greater<T>>;
#define boost() cin.sync_with_stdio(0); cin.tie(0)
#define ms(a, x) memset(a, x, sizeof(a))
#define pb push_back
#define fs first
#define sn second
#define ALL(v) (v).begin(), (v).end()
#define SZ(v) ((int) (v).size())
#define lbv(v, x) (lower_bound((v).begin(), (v).end(), x) - (v).begin())
#define ubv(v, x) (upper_bound((v).begin(), (v).end(), x) - (v).begin())
template <typename T> inline void UNIQUE(vector<T> &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());}
const int INF = 0x3f3f3f3f;
const ll LLINF = 0x3f3f3f3f3f3f3f3f;
const double PI = acos(-1);
#define FR(i, n) for(int i = 0; i < (n); i++)
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define FORR(i, a, b) for(int i = (a); i >= (b); i--)
#define dbg(x) {cout << #x << ' ' << x << endl;}
#define dbgArr(arr, n) {cout << #arr; FR(_i, n) cout << ' ' << arr[_i]; cout << endl;}

struct Edge {
    int t, n1, n2;

    bool operator<(Edge e) const {
        return t < e.t;
    }
};

const int H = 10;
const int MN = 505;
const int ME = 1e5 + 5;
const int MQ = 1e6 + 5;
int n, m, q;
vector<Edge> adjList[MN]; // {t, node, id}
int queries[MQ], qi;

bool vis[MN];
set<pii> spanAdjList[MN];
vi spanTree;
Edge edges[ME];
pii nextEvent;

int dep[MN];
pii anc[MN][H];

void dfs(int n1){
    for(auto [n2, c2] : spanAdjList[n1]){
        dep[n2] = dep[n1] + 1;

        anc[n2][0] = {n1, c2};
        int n3 = n1;
        FOR(k, 1, H){
            if(anc[n3][k-1].fs == -1) break;
            anc[n2][k] = {anc[n3][k-1].fs, min(anc[n3][k-1].sn, anc[n2][k-1].sn)};
            n3 = anc[n3][k-1].fs;
        }

        dfs(n2);
    }
}

int getMn(int a, int b){
    if(dep[a] < dep[b]) swap(a, b);
    int res = INF;
    FORR(k, H-1, 0){
        if(dep[a] - (1<<k) < dep[b]) continue;
        res = min(res, anc[a][k].sn);
        a = anc[a][k].fs;
    }

    if(a == b) return res;

    FORR(k, H-1, 0){
        if(anc[a][k].fs == anc[b][k].fs) continue;
        res = min(res, min(anc[a][k].sn, anc[b][k].sn));
        a = anc[a][k].fs;
        b = anc[b][k].fs;
    }

    res = min(res, min(anc[a][0].sn, anc[b][0].sn));
    return res;
}

void recalc(int t){
    spanTree.clear();
    FR(i, n){
        spanAdjList[i].clear();
        vis[i] = false;
    }

    minPq<pair<int, Edge>> pq;
    pq.push({0, {0, 0, 0}});

    while(!pq.empty()){
        auto [c, e] = pq.top(); pq.pop();
        if(vis[e.n2]) continue;
        vis[e.n2] = true;
        if(e.t) spanAdjList[e.n1].insert({e.n2, e.t}), spanTree.pb(e.t);

        for(Edge e2 : adjList[e.n2]){
            if(!vis[e2.n1]) pq.push({abs(t - e2.t), {e2.t, e.n2, e2.n1}});
        }
    }

    ms(anc, -1);
    dfs(0);

    nextEvent = {INF, -1};
    FR(i, m){
        int a = edges[i].n1, b = edges[i].n2;
        int mn = getMn(a, b);
        if(mn >= edges[i].t) continue;
        int dec = (mn + edges[i].t + 2)/2;
        assert(dec > t);
        nextEvent = min(nextEvent, pii{dec, i});
    }
}


vi perEdge[MN];

void lineCase(){
    //vi mem(3e7, 12345);

    minPq<pii> events;
    FR(i, n){
        vi &vec = perEdge[i];
        sort(ALL(vec));
        reverse(ALL(vec));
        if(SZ(vec) >= 2) events.push({(vec[SZ(vec)-1] + vec[SZ(vec)-2])/2 + 1, i});
    }

    while(qi < q){
        int t = queries[qi++];
        while(!events.empty() && events.top().fs < t){
            auto [useless, i] = events.top(); events.pop();
            vi &vec = perEdge[i];
            vec.pop_back();
            if(SZ(vec) >= 2) events.push({(vec[SZ(vec)-1] + vec[SZ(vec)-2])/2 + 1, i});
        }

        ll ans = 0;
        FR(i, n) ans += abs(t - perEdge[i].back());
        cout << ans << '\n';
    }

    exit(0);
}

int main(){
    boost();
    cin >> n >> m;
    FR(i, m){
        int a, b, c;
        cin >> a >> b >> c;
        a--; b--;
        perEdge[a].pb(c);
        adjList[a].pb({c, b, i});
        adjList[b].pb({c, a, i});
        edges[i] = {c, a, b};
    }

    cin >> q;
    FR(i, q) cin >> queries[i];
    if(m > 1000 && q > 10) lineCase();

    while(qi < q){
        int t = queries[qi];
        if(nextEvent.fs <= t) recalc(t);
        ll val = 0;
        for(int x : spanTree) val += abs(t - x);
        cout << val << '\n';
        qi++;
    }
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 289 ms 9172 KB Output is correct
21 Correct 202 ms 7768 KB Output is correct
22 Correct 239 ms 9396 KB Output is correct
23 Correct 227 ms 9504 KB Output is correct
24 Correct 246 ms 9388 KB Output is correct
25 Correct 320 ms 9660 KB Output is correct
26 Correct 284 ms 9488 KB Output is correct
27 Correct 321 ms 9288 KB Output is correct
28 Correct 285 ms 9440 KB Output is correct
29 Correct 133 ms 9164 KB Output is correct
30 Correct 292 ms 9160 KB Output is correct
31 Correct 320 ms 9100 KB Output is correct
32 Correct 304 ms 9348 KB Output is correct
33 Correct 300 ms 9504 KB Output is correct
34 Correct 47 ms 7648 KB Output is correct
35 Correct 52 ms 7684 KB Output is correct

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Runtime error 129 ms 19072 KB Execution killed with signal 11
5 Halted 0 ms 0 KB -

Subtask #4
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 753 ms 16624 KB Output is correct
21 Correct 741 ms 16756 KB Output is correct
22 Correct 761 ms 16728 KB Output is correct
23 Correct 751 ms 16716 KB Output is correct
24 Correct 781 ms 16632 KB Output is correct
25 Correct 757 ms 16588 KB Output is correct
26 Correct 769 ms 16664 KB Output is correct
27 Correct 664 ms 16772 KB Output is correct
28 Correct 788 ms 16640 KB Output is correct
29 Correct 788 ms 16708 KB Output is correct
30 Correct 705 ms 16712 KB Output is correct
31 Correct 712 ms 16680 KB Output is correct
32 Correct 667 ms 17268 KB Output is correct
33 Correct 672 ms 16572 KB Output is correct

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 289 ms 9172 KB Output is correct
21 Correct 202 ms 7768 KB Output is correct
22 Correct 239 ms 9396 KB Output is correct
23 Correct 227 ms 9504 KB Output is correct
24 Correct 246 ms 9388 KB Output is correct
25 Correct 320 ms 9660 KB Output is correct
26 Correct 284 ms 9488 KB Output is correct
27 Correct 321 ms 9288 KB Output is correct
28 Correct 285 ms 9440 KB Output is correct
29 Correct 133 ms 9164 KB Output is correct
30 Correct 292 ms 9160 KB Output is correct
31 Correct 320 ms 9100 KB Output is correct
32 Correct 304 ms 9348 KB Output is correct
33 Correct 300 ms 9504 KB Output is correct
34 Correct 47 ms 7648 KB Output is correct
35 Correct 52 ms 7684 KB Output is correct
36 Runtime error 43 ms 11220 KB Execution killed with signal 11
37 Halted 0 ms 0 KB -

Subtask #6
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 289 ms 9172 KB Output is correct
21 Correct 202 ms 7768 KB Output is correct
22 Correct 239 ms 9396 KB Output is correct
23 Correct 227 ms 9504 KB Output is correct
24 Correct 246 ms 9388 KB Output is correct
25 Correct 320 ms 9660 KB Output is correct
26 Correct 284 ms 9488 KB Output is correct
27 Correct 321 ms 9288 KB Output is correct
28 Correct 285 ms 9440 KB Output is correct
29 Correct 133 ms 9164 KB Output is correct
30 Correct 292 ms 9160 KB Output is correct
31 Correct 320 ms 9100 KB Output is correct
32 Correct 304 ms 9348 KB Output is correct
33 Correct 300 ms 9504 KB Output is correct
34 Correct 47 ms 7648 KB Output is correct
35 Correct 52 ms 7684 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Runtime error 129 ms 19072 KB Execution killed with signal 11
40 Halted 0 ms 0 KB -