Submission #293307

# Submission time Handle Problem Language Result Execution time Memory
293307 2020-09-07T20:59:44 Z crossing0ver Aesthetic (NOI20_aesthetic) C++17
51 / 100
738 ms 80176 KB
#include<bits/stdc++.h>
#define int long long
#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;
    }
  //  if ()
    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;
        }
        }
}
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] = 10000000000000000;
   // 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})) {
            if (id[a] > id[b]) swap(a,b);
            q.pb({D[n] + MX[i+1],{id[a],id[a]}});
        }
    }
    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);
       // if (H[id[a]] !=  10000000000000000)
        ans = max(ans, H[id[a]]);
       // else ans = max(ans,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;



}

Compilation message

Aesthetic.cpp:100:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  100 | main() {
      |      ^
# Verdict Execution time Memory Grader output
1 Correct 10 ms 16896 KB Output is correct
2 Correct 11 ms 16896 KB Output is correct
3 Correct 10 ms 16896 KB Output is correct
4 Correct 11 ms 16896 KB Output is correct
5 Correct 10 ms 16896 KB Output is correct
6 Correct 11 ms 16896 KB Output is correct
7 Correct 10 ms 16896 KB Output is correct
8 Correct 10 ms 16896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 16896 KB Output is correct
2 Correct 11 ms 16896 KB Output is correct
3 Correct 10 ms 16896 KB Output is correct
4 Correct 11 ms 16896 KB Output is correct
5 Correct 10 ms 16896 KB Output is correct
6 Correct 11 ms 16896 KB Output is correct
7 Correct 10 ms 16896 KB Output is correct
8 Correct 10 ms 16896 KB Output is correct
9 Correct 12 ms 17152 KB Output is correct
10 Correct 12 ms 17152 KB Output is correct
11 Correct 12 ms 17152 KB Output is correct
12 Correct 12 ms 17152 KB Output is correct
13 Correct 12 ms 17152 KB Output is correct
14 Correct 12 ms 17152 KB Output is correct
15 Correct 12 ms 17152 KB Output is correct
16 Correct 12 ms 17152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 631 ms 66608 KB Output is correct
2 Correct 612 ms 66536 KB Output is correct
3 Correct 651 ms 66376 KB Output is correct
4 Correct 676 ms 66380 KB Output is correct
5 Correct 679 ms 66816 KB Output is correct
6 Correct 689 ms 67668 KB Output is correct
7 Correct 675 ms 67020 KB Output is correct
8 Correct 688 ms 67580 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 738 ms 67748 KB Output is correct
2 Correct 713 ms 66932 KB Output is correct
3 Correct 674 ms 65660 KB Output is correct
4 Correct 622 ms 65940 KB Output is correct
5 Correct 677 ms 66612 KB Output is correct
6 Correct 641 ms 66396 KB Output is correct
7 Correct 680 ms 66484 KB Output is correct
8 Correct 716 ms 67320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 522 ms 59196 KB Output is correct
2 Correct 279 ms 61100 KB Output is correct
3 Correct 309 ms 52560 KB Output is correct
4 Correct 307 ms 53176 KB Output is correct
5 Correct 323 ms 55736 KB Output is correct
6 Correct 321 ms 53688 KB Output is correct
7 Correct 299 ms 52400 KB Output is correct
8 Correct 325 ms 53164 KB Output is correct
9 Correct 314 ms 52552 KB Output is correct
10 Correct 321 ms 52876 KB Output is correct
11 Correct 321 ms 53680 KB Output is correct
12 Correct 544 ms 59580 KB Output is correct
13 Correct 324 ms 52656 KB Output is correct
14 Correct 360 ms 80124 KB Output is correct
15 Correct 372 ms 80176 KB Output is correct
16 Correct 494 ms 59436 KB Output is correct
17 Correct 488 ms 58388 KB Output is correct
18 Correct 494 ms 59016 KB Output is correct
19 Correct 271 ms 61228 KB Output is correct
20 Correct 279 ms 61180 KB Output is correct
21 Correct 276 ms 61172 KB Output is correct
22 Correct 269 ms 61240 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 522 ms 59196 KB Output is correct
2 Correct 279 ms 61100 KB Output is correct
3 Correct 309 ms 52560 KB Output is correct
4 Correct 307 ms 53176 KB Output is correct
5 Correct 323 ms 55736 KB Output is correct
6 Correct 321 ms 53688 KB Output is correct
7 Correct 299 ms 52400 KB Output is correct
8 Correct 325 ms 53164 KB Output is correct
9 Correct 314 ms 52552 KB Output is correct
10 Correct 321 ms 52876 KB Output is correct
11 Correct 321 ms 53680 KB Output is correct
12 Correct 544 ms 59580 KB Output is correct
13 Correct 324 ms 52656 KB Output is correct
14 Correct 360 ms 80124 KB Output is correct
15 Correct 372 ms 80176 KB Output is correct
16 Correct 494 ms 59436 KB Output is correct
17 Correct 488 ms 58388 KB Output is correct
18 Correct 494 ms 59016 KB Output is correct
19 Correct 271 ms 61228 KB Output is correct
20 Correct 279 ms 61180 KB Output is correct
21 Correct 276 ms 61172 KB Output is correct
22 Correct 269 ms 61240 KB Output is correct
23 Incorrect 576 ms 61944 KB Output isn't correct
24 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 10 ms 16896 KB Output is correct
2 Correct 11 ms 16896 KB Output is correct
3 Correct 10 ms 16896 KB Output is correct
4 Correct 11 ms 16896 KB Output is correct
5 Correct 10 ms 16896 KB Output is correct
6 Correct 11 ms 16896 KB Output is correct
7 Correct 10 ms 16896 KB Output is correct
8 Correct 10 ms 16896 KB Output is correct
9 Correct 12 ms 17152 KB Output is correct
10 Correct 12 ms 17152 KB Output is correct
11 Correct 12 ms 17152 KB Output is correct
12 Correct 12 ms 17152 KB Output is correct
13 Correct 12 ms 17152 KB Output is correct
14 Correct 12 ms 17152 KB Output is correct
15 Correct 12 ms 17152 KB Output is correct
16 Correct 12 ms 17152 KB Output is correct
17 Correct 631 ms 66608 KB Output is correct
18 Correct 612 ms 66536 KB Output is correct
19 Correct 651 ms 66376 KB Output is correct
20 Correct 676 ms 66380 KB Output is correct
21 Correct 679 ms 66816 KB Output is correct
22 Correct 689 ms 67668 KB Output is correct
23 Correct 675 ms 67020 KB Output is correct
24 Correct 688 ms 67580 KB Output is correct
25 Correct 738 ms 67748 KB Output is correct
26 Correct 713 ms 66932 KB Output is correct
27 Correct 674 ms 65660 KB Output is correct
28 Correct 622 ms 65940 KB Output is correct
29 Correct 677 ms 66612 KB Output is correct
30 Correct 641 ms 66396 KB Output is correct
31 Correct 680 ms 66484 KB Output is correct
32 Correct 716 ms 67320 KB Output is correct
33 Correct 522 ms 59196 KB Output is correct
34 Correct 279 ms 61100 KB Output is correct
35 Correct 309 ms 52560 KB Output is correct
36 Correct 307 ms 53176 KB Output is correct
37 Correct 323 ms 55736 KB Output is correct
38 Correct 321 ms 53688 KB Output is correct
39 Correct 299 ms 52400 KB Output is correct
40 Correct 325 ms 53164 KB Output is correct
41 Correct 314 ms 52552 KB Output is correct
42 Correct 321 ms 52876 KB Output is correct
43 Correct 321 ms 53680 KB Output is correct
44 Correct 544 ms 59580 KB Output is correct
45 Correct 324 ms 52656 KB Output is correct
46 Correct 360 ms 80124 KB Output is correct
47 Correct 372 ms 80176 KB Output is correct
48 Correct 494 ms 59436 KB Output is correct
49 Correct 488 ms 58388 KB Output is correct
50 Correct 494 ms 59016 KB Output is correct
51 Correct 271 ms 61228 KB Output is correct
52 Correct 279 ms 61180 KB Output is correct
53 Correct 276 ms 61172 KB Output is correct
54 Correct 269 ms 61240 KB Output is correct
55 Incorrect 576 ms 61944 KB Output isn't correct
56 Halted 0 ms 0 KB -