oj.uz

Submission #550733

# Submission time Handle Problem Language Result Execution time Memory
550733 2022-04-18T23:40:52 Z BalintR Reconstruction Project (JOI22_reconstruction) C++17
35 / 100
 807 ms 249536 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);
    FR(i, m){
        int a, b, c;
        cin >> a >> b >> c;
        a--; b--;
        perEdge[a].pb(c);
    }

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

    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 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 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 0 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 0 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 1 ms 340 KB Output is correct
15 Correct 1 ms 440 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 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 0 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 0 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 1 ms 340 KB Output is correct
15 Correct 1 ms 440 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 321 ms 9188 KB Output is correct
21 Correct 199 ms 7908 KB Output is correct
22 Correct 220 ms 9464 KB Output is correct
23 Correct 229 ms 9496 KB Output is correct
24 Correct 244 ms 9412 KB Output is correct
25 Correct 272 ms 9480 KB Output is correct
26 Correct 277 ms 9428 KB Output is correct
27 Correct 282 ms 9216 KB Output is correct
28 Correct 276 ms 9256 KB Output is correct
29 Correct 113 ms 9160 KB Output is correct
30 Correct 300 ms 9332 KB Output is correct
31 Correct 290 ms 9124 KB Output is correct
32 Correct 281 ms 9192 KB Output is correct
33 Correct 280 ms 9292 KB Output is correct
34 Correct 45 ms 7700 KB Output is correct
35 Correct 52 ms 7696 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 190 ms 248328 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 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 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 0 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 0 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 1 ms 340 KB Output is correct
15 Correct 1 ms 440 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 380 KB Output is correct
20 Correct 791 ms 17364 KB Output is correct
21 Correct 766 ms 17480 KB Output is correct
22 Correct 768 ms 17492 KB Output is correct
23 Correct 807 ms 17644 KB Output is correct
24 Correct 773 ms 17532 KB Output is correct
25 Correct 778 ms 17432 KB Output is correct
26 Correct 759 ms 17480 KB Output is correct
27 Correct 681 ms 17552 KB Output is correct
28 Correct 777 ms 17476 KB Output is correct
29 Correct 765 ms 17456 KB Output is correct
30 Correct 717 ms 17396 KB Output is correct
31 Correct 718 ms 17544 KB Output is correct
32 Correct 662 ms 17984 KB Output is correct
33 Correct 672 ms 17172 KB Output is correct

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 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 0 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 0 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 1 ms 340 KB Output is correct
15 Correct 1 ms 440 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 321 ms 9188 KB Output is correct
21 Correct 199 ms 7908 KB Output is correct
22 Correct 220 ms 9464 KB Output is correct
23 Correct 229 ms 9496 KB Output is correct
24 Correct 244 ms 9412 KB Output is correct
25 Correct 272 ms 9480 KB Output is correct
26 Correct 277 ms 9428 KB Output is correct
27 Correct 282 ms 9216 KB Output is correct
28 Correct 276 ms 9256 KB Output is correct
29 Correct 113 ms 9160 KB Output is correct
30 Correct 300 ms 9332 KB Output is correct
31 Correct 290 ms 9124 KB Output is correct
32 Correct 281 ms 9192 KB Output is correct
33 Correct 280 ms 9292 KB Output is correct
34 Correct 45 ms 7700 KB Output is correct
35 Correct 52 ms 7696 KB Output is correct
36 Runtime error 181 ms 249536 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 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 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 0 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 0 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 1 ms 340 KB Output is correct
15 Correct 1 ms 440 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 321 ms 9188 KB Output is correct
21 Correct 199 ms 7908 KB Output is correct
22 Correct 220 ms 9464 KB Output is correct
23 Correct 229 ms 9496 KB Output is correct
24 Correct 244 ms 9412 KB Output is correct
25 Correct 272 ms 9480 KB Output is correct
26 Correct 277 ms 9428 KB Output is correct
27 Correct 282 ms 9216 KB Output is correct
28 Correct 276 ms 9256 KB Output is correct
29 Correct 113 ms 9160 KB Output is correct
30 Correct 300 ms 9332 KB Output is correct
31 Correct 290 ms 9124 KB Output is correct
32 Correct 281 ms 9192 KB Output is correct
33 Correct 280 ms 9292 KB Output is correct
34 Correct 45 ms 7700 KB Output is correct
35 Correct 52 ms 7696 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 190 ms 248328 KB Execution killed with signal 11
40 Halted 0 ms 0 KB -