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Submission #293294

# Submission time Handle Problem Language Result Execution time Memory
293294 2020-09-07T20:40:47 Z crossing0ver Aesthetic (NOI20_aesthetic) C++17
51 / 100
 606 ms 58232 KB 
#include<bits/stdc++.h>
#define all(x) (x).begin(),(x).end()
#define pii pair<int,int>
#define ll long long
#define pb push_back
#define vi vector<int>
#define se second
#define fi first
using namespace std;
const int N = 3e5+5;
vector<pii> adj[N];
int n,m;
int A[N],B[N],W[N],NUM[N][2],MX[N],par[N],good[N],sub[N],id[N];
ll D[N],FROM_N[N],H[N];
set<pii> path;

ll t[4*N];
void upd(int v,int tl,int tr,int l,int r,ll val) {
    if(l > tr || r < tl) return;
    if (l <= tl && r >= tr)  {
            t[v] = val;
            return;
    }
    t[v*2] = min(t[v*2],t[v]);
    t[v*2+1] = min(t[v*2+1],t[v]);
    int tm = (tl + tr)/2;
    upd(v*2,tl,tm,l,r,val);
    upd(v*2+1,tm+1,tr,l,r,val);
    //t[v] = min(t[v*2],t[v*2+1]);
}
void down(int v,int tl,int tr) {
    if (tl == tr) H[tl] = t[v];
    else {
            int tm = (tl + tr)/2;
            t[v*2] = min(t[v*2],t[v]);
        t[v*2+1] = min(t[v*2+1],t[v]);
        down(v*2,tl,tm);
        down(v*2+1,tm+1,tr);
    }
}
void dijkstra(int s) {
    priority_queue<pair<ll,int>,vector<pair<ll,int> >,greater<pair<ll,int> > > pq;
        pq.push({0,s});
        vector<bool> vis(n+1);
        vector<ll> d(n+1);
        for (int i = 1; i <= n; i++)
            d[i] = 10000000000000000;
        d[s] = 0;
        par[s] = 0;
        id[s] = 0;
        while(!pq.empty()) {
            auto i1 = pq.top();
            pq.pop();
            int v = i1.se;
            if (vis[v]) continue;
            ll dis = i1.fi;
            vis[v] = 1;
            for (auto i : adj[v])
                if (!vis[i.fi] && d[i.fi] > dis + i.se) {
                    d[i.fi] = dis + i.se;
                    id[i.fi] = id[v] + 1;
                    par[i.fi] = v;
                    pq.push({d[i.fi],i.fi});
                }
        }/*1 2 3
2 3 5
1 3 4*/
        if (s == n)
        for (int i = 1; i <= n; i++)
            FROM_N[i] = d[i];
        else {
                for (int i = 1; i <= n; i++)
                    D[i] = d[i];
               int j = n;
                good[1] = 1;
            while(j != 1) {
                good[j] = 1;
                j = par[j];
            }
            for (int i = 2; i <= n; i++) {
                        if (good[i])
                    path.insert({i,par[i]}),
                    path.insert({par[i],i});
                }
            vector<pair<ll,int> > g;
            for (int i =1 ; i <= n; i++) {
                g.pb({d[i],i});
            }
        sort(all(g));
        for (auto i1 : g) {
            int v = i1.se;
            if (!good[v])
                sub[v] = sub [ par[v] ];
            else sub[v] = v;
        }
        }
}
int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cin >> n >> m;
    for (int i = 0; i < m; i++) {
            int a,b,w;
        cin >> a >> b >> w;
        A[i] = a, B[i] = b;
        W[i] = w;
        NUM[i][0] = adj[a].size();
        NUM[i][1] = adj[b].size();
        adj[a].pb({b,w});
        adj[b].pb({a,w});
        MX[i] = w;
    }
    dijkstra(n);
    dijkstra(1);
    for (int i = 1; i < 4*N; i++)
        t[i] = 100000000000000;
   // cout << FROM_N[1];exit(0);
    for (int i = m-2; i >= 0; i--)
        MX[i] = max(MX[i],MX[i+1]);
    ll ans = D[n];
   // cout << D[n];exit(0);
    /*for (int i = 0; i < m; i++) {
        int a = A[i], b = B[i];
        adj[a][NUM[i][0]].se += MX[i+1];
        adj[b][NUM[i][1]].se += MX[i+1];
        // dijkstra

        priority_queue<pair<ll,int>,vector<pair<ll,int> >,greater<pair<ll,int> > > pq;
        pq.push({0,1});
        vector<bool> vis(n+1);
        vector<ll> d(n+1);
        for (int i = 1; i <= n; i++)
            d[i] = 10000000000000000;
        d[1] = 0;
        while(!pq.empty()) {
            auto i1 = pq.top();
            pq.pop();
            int v = i1.se;
            if (vis[v]) continue;
            ll dis = i1.fi;
            if (v == n) {
                ans = max(ans,dis);
                break;
            }
            vis[v] = 1;
            for (auto i : adj[v])
                if (!vis[i.fi] && d[i.fi] > dis + i.se) {
                    d[i.fi] = dis + i.se;
                    pq.push({d[i.fi],i.fi});
                }

        }
        // replace
        adj[a][NUM[i][0]].se -= MX[i+1];
        adj[b][NUM[i][1]].se -= MX[i+1];
    }*/
    vector<pair<ll,pii> > q;
    for (int i = 0; i < m; i++) {
        int a = A[i], b = B[i];
        if (path.count({a,b}) || sub[a] == sub[b]) continue;
        if (id[sub[a]] > id[sub[b]]) swap(a,b);
        ll dis = D[a] + FROM_N[b] + W[i];
        a = sub[a];
        b = sub[b];
        if (id[a] > id[b]) swap(a,b);
      //  if (id[sub])
      q.pb({dis,{id[a],id[b]-1}});
     //   upd(1,0,id[n],id[a],id[b]-1,dis);
    }
    sort(q.rbegin(),q.rend());
    for (auto i1 : q) {
        int a = i1.se.fi;
        int b = i1.se.se;
        ll val = i1.fi;
        upd(1,0,id[n],a,b,val);
    }
    down(1,0,id[n]);
    for (int i = 0; i < m; i++) {
        int a = A[i], b = B[i];
        if (path.count({a,b}) == 0) continue;
        if (id[a] > id[b]) swap(a,b);
        ans = max(ans, min(H[id[a]],D[n] + MX[i+1]));
      /*  ll C = D[n];
        C += MX[i+1];
        //adj[a][NUM[i][0]].se += MX[i+1];
        //adj[b][NUM[i][1]].se += MX[i+1];
        // dijkstra
        for (int i = 0; i < m; i++) {
            int x = A[i], y = B[i];
            if (id[sub[x]] > id[sub[y]]) swap(x,y);

            if (x == a && y == b ) continue;
            if (id[sub[x]] > id[a] || id[sub[y]] < id[b]) continue;
            C = min(C,D[x] + FROM_N[y] + W[i]);
        }
        ans = max(ans,C);

*/
        }
        // replace
        //adj[a][NUM[i][0]].se -= MX[i+1];
        //adj[b][NUM[i][1]].se -= MX[i+1];

    cout << ans;



}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16896 KB Output is correct
2 Correct 11 ms 16896 KB Output is correct
3 Correct 11 ms 16896 KB Output is correct
4 Correct 11 ms 16896 KB Output is correct
5 Correct 11 ms 16896 KB Output is correct
6 Correct 11 ms 16800 KB Output is correct
7 Correct 11 ms 16896 KB Output is correct
8 Correct 11 ms 16896 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16896 KB Output is correct
2 Correct 11 ms 16896 KB Output is correct
3 Correct 11 ms 16896 KB Output is correct
4 Correct 11 ms 16896 KB Output is correct
5 Correct 11 ms 16896 KB Output is correct
6 Correct 11 ms 16800 KB Output is correct
7 Correct 11 ms 16896 KB Output is correct
8 Correct 11 ms 16896 KB Output is correct
9 Correct 13 ms 17024 KB Output is correct
10 Correct 12 ms 17152 KB Output is correct
11 Correct 12 ms 17024 KB Output is correct
12 Correct 12 ms 17024 KB Output is correct
13 Correct 12 ms 16980 KB Output is correct
14 Correct 12 ms 17024 KB Output is correct
15 Correct 12 ms 17024 KB Output is correct
16 Correct 12 ms 17024 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 577 ms 57192 KB Output is correct
2 Correct 571 ms 57304 KB Output is correct
3 Correct 573 ms 57028 KB Output is correct
4 Correct 584 ms 57024 KB Output is correct
5 Correct 592 ms 57292 KB Output is correct
6 Correct 606 ms 58036 KB Output is correct
7 Correct 585 ms 58004 KB Output is correct
8 Correct 605 ms 58080 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 600 ms 57984 KB Output is correct
2 Correct 586 ms 57460 KB Output is correct
3 Correct 573 ms 56784 KB Output is correct
4 Correct 580 ms 57216 KB Output is correct
5 Correct 578 ms 57360 KB Output is correct
6 Correct 562 ms 57204 KB Output is correct
7 Correct 566 ms 57332 KB Output is correct
8 Correct 592 ms 57656 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 462 ms 48760 KB Output is correct
2 Correct 248 ms 49580 KB Output is correct
3 Correct 270 ms 41544 KB Output is correct
4 Correct 267 ms 41540 KB Output is correct
5 Correct 283 ms 43080 KB Output is correct
6 Correct 282 ms 41800 KB Output is correct
7 Correct 260 ms 41532 KB Output is correct
8 Correct 273 ms 41656 KB Output is correct
9 Correct 266 ms 41676 KB Output is correct
10 Correct 271 ms 41792 KB Output is correct
11 Correct 280 ms 41784 KB Output is correct
12 Correct 455 ms 48704 KB Output is correct
13 Correct 269 ms 41672 KB Output is correct
14 Correct 278 ms 58232 KB Output is correct
15 Correct 293 ms 58232 KB Output is correct
16 Correct 442 ms 48552 KB Output is correct
17 Correct 442 ms 47816 KB Output is correct
18 Correct 440 ms 48340 KB Output is correct
19 Correct 250 ms 49668 KB Output is correct
20 Correct 257 ms 49664 KB Output is correct
21 Correct 249 ms 49668 KB Output is correct
22 Correct 252 ms 49680 KB Output is correct

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 462 ms 48760 KB Output is correct
2 Correct 248 ms 49580 KB Output is correct
3 Correct 270 ms 41544 KB Output is correct
4 Correct 267 ms 41540 KB Output is correct
5 Correct 283 ms 43080 KB Output is correct
6 Correct 282 ms 41800 KB Output is correct
7 Correct 260 ms 41532 KB Output is correct
8 Correct 273 ms 41656 KB Output is correct
9 Correct 266 ms 41676 KB Output is correct
10 Correct 271 ms 41792 KB Output is correct
11 Correct 280 ms 41784 KB Output is correct
12 Correct 455 ms 48704 KB Output is correct
13 Correct 269 ms 41672 KB Output is correct
14 Correct 278 ms 58232 KB Output is correct
15 Correct 293 ms 58232 KB Output is correct
16 Correct 442 ms 48552 KB Output is correct
17 Correct 442 ms 47816 KB Output is correct
18 Correct 440 ms 48340 KB Output is correct
19 Correct 250 ms 49668 KB Output is correct
20 Correct 257 ms 49664 KB Output is correct
21 Correct 249 ms 49668 KB Output is correct
22 Correct 252 ms 49680 KB Output is correct
23 Incorrect 499 ms 51212 KB Output isn't correct
24 Halted 0 ms 0 KB -

Subtask #7
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16896 KB Output is correct
2 Correct 11 ms 16896 KB Output is correct
3 Correct 11 ms 16896 KB Output is correct
4 Correct 11 ms 16896 KB Output is correct
5 Correct 11 ms 16896 KB Output is correct
6 Correct 11 ms 16800 KB Output is correct
7 Correct 11 ms 16896 KB Output is correct
8 Correct 11 ms 16896 KB Output is correct
9 Correct 13 ms 17024 KB Output is correct
10 Correct 12 ms 17152 KB Output is correct
11 Correct 12 ms 17024 KB Output is correct
12 Correct 12 ms 17024 KB Output is correct
13 Correct 12 ms 16980 KB Output is correct
14 Correct 12 ms 17024 KB Output is correct
15 Correct 12 ms 17024 KB Output is correct
16 Correct 12 ms 17024 KB Output is correct
17 Correct 577 ms 57192 KB Output is correct
18 Correct 571 ms 57304 KB Output is correct
19 Correct 573 ms 57028 KB Output is correct
20 Correct 584 ms 57024 KB Output is correct
21 Correct 592 ms 57292 KB Output is correct
22 Correct 606 ms 58036 KB Output is correct
23 Correct 585 ms 58004 KB Output is correct
24 Correct 605 ms 58080 KB Output is correct
25 Correct 600 ms 57984 KB Output is correct
26 Correct 586 ms 57460 KB Output is correct
27 Correct 573 ms 56784 KB Output is correct
28 Correct 580 ms 57216 KB Output is correct
29 Correct 578 ms 57360 KB Output is correct
30 Correct 562 ms 57204 KB Output is correct
31 Correct 566 ms 57332 KB Output is correct
32 Correct 592 ms 57656 KB Output is correct
33 Correct 462 ms 48760 KB Output is correct
34 Correct 248 ms 49580 KB Output is correct
35 Correct 270 ms 41544 KB Output is correct
36 Correct 267 ms 41540 KB Output is correct
37 Correct 283 ms 43080 KB Output is correct
38 Correct 282 ms 41800 KB Output is correct
39 Correct 260 ms 41532 KB Output is correct
40 Correct 273 ms 41656 KB Output is correct
41 Correct 266 ms 41676 KB Output is correct
42 Correct 271 ms 41792 KB Output is correct
43 Correct 280 ms 41784 KB Output is correct
44 Correct 455 ms 48704 KB Output is correct
45 Correct 269 ms 41672 KB Output is correct
46 Correct 278 ms 58232 KB Output is correct
47 Correct 293 ms 58232 KB Output is correct
48 Correct 442 ms 48552 KB Output is correct
49 Correct 442 ms 47816 KB Output is correct
50 Correct 440 ms 48340 KB Output is correct
51 Correct 250 ms 49668 KB Output is correct
52 Correct 257 ms 49664 KB Output is correct
53 Correct 249 ms 49668 KB Output is correct
54 Correct 252 ms 49680 KB Output is correct
55 Incorrect 499 ms 51212 KB Output isn't correct
56 Halted 0 ms 0 KB -