oj.uz

Submission #285041

# Submission time Handle Problem Language Result Execution time Memory
285041 2020-08-28T09:20:13 Z 3zp Aesthetic (NOI20_aesthetic) C++14
100 / 100
 1089 ms 90008 KB 
#include<bits/stdc++.h>
#define ll long long
using namespace std;
vector<pair<ll, pair<ll, ll > > > v[300009];
vector<ll> T[300009],W[300009];
ll d1[300009],dn[300009], f[300009], g[300009],ea[300009],eb[300009],ec[300009], par[300009],path[300009],wh[300009];
multiset<pair<ll,ll> > S;
void ad(ll x){
    g[x] = 1;
    for(auto E : v[x]){
        ll y = E.first, l = E.second.first,  u= E.second.second;
        auto it= S.find({dn[y] + l + d1[x], u});
        if(g[y] == 1) S.erase(it);
        if(g[y] == 0) S.insert({dn[x] + l + d1[y], u});
    }
}
void dfs(int x, int p){
    if(path[x]) wh[x] = x;
    else wh[x] = wh[p];
    T[wh[x]].push_back(x);
    for(int y : W[x]){
        dfs(y, x);
    }
}
ll A = 0;
main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    ll n, m;
    cin >> n >> m;
    for(ll i = 0; i < m; i++){
        cin>>ea[i]>>eb[i]>>ec[i];
    }
    for(ll i = m-1; i >= 0; i--){
        ll a = ea[i], b = eb[i], c = ec[i];
        if(a != b){
            v[a].push_back({b, {c,A}});
            v[b].push_back({a, {c,A}});
        }
        A = max(A, c);
    }
    for(ll i = 1; i <= n; i++){
        d1[i] = 1e18;
        dn[i] = 1e18;
    }
    d1[1] = 0;
    dn[n] = 0;
    priority_queue<pair<ll, ll> > q;
    q.push({0, 1});
    while(q.size()){
        ll x = q.top().second;
        q.pop();
        if(f[x]) continue;
        f[x] = 1;
        for(auto E: v[x]){
            ll y = E.first, l = E.second.first;
            if(!f[y] && d1[y] > d1[x] + l){
                d1[y] = d1[x] + l;
                par[y] = x;
                q.push({-d1[y], y});
            }
        }
    }
    q.push({0, n});
    for(ll i = 1; i <= n; i++)
        f[i] = 0;
    while(q.size()){
        ll x = q.top().second;
        q.pop();
        if(f[x]) continue;
        f[x] = 1;
        for(auto E: v[x]){
            ll y = E.first, l = E.second.first;
            if(!f[y] && dn[y] > dn[x] + l){
                dn[y] = dn[x] + l;
                q.push({-dn[y], y});
            }
        }
    }
    ll ans = d1[n];
    ll X = n;
    while(1){
        path[X] = 1;
        if(X == 1) break;
        X = par[X];
    }

    for(ll i = 1; i <= n; i++){
        W[par[i]].push_back(i);
    }
    dfs(1,0);
    ll x = n;
    while(1){
        for(ll y : T[x])
            ad(y);
        if(x == 1) break;
        x = par[x];
        if(S.size() == 0) continue;
        ll U = S.begin()->first + S.begin()->second;
        auto it = S.begin();
        it++;
        if(it != S.end()) U = min(U, it->first);
        ans = max(ans, U);
    }
    cout<<ans<<endl;
}

Compilation message

Aesthetic.cpp:26:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   26 | main(){
      |      ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 21504 KB Output is correct
2 Correct 15 ms 21504 KB Output is correct
3 Correct 15 ms 21504 KB Output is correct
4 Correct 15 ms 21632 KB Output is correct
5 Correct 15 ms 21504 KB Output is correct
6 Correct 16 ms 21504 KB Output is correct
7 Correct 15 ms 21504 KB Output is correct
8 Correct 17 ms 21504 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 21504 KB Output is correct
2 Correct 15 ms 21504 KB Output is correct
3 Correct 15 ms 21504 KB Output is correct
4 Correct 15 ms 21632 KB Output is correct
5 Correct 15 ms 21504 KB Output is correct
6 Correct 16 ms 21504 KB Output is correct
7 Correct 15 ms 21504 KB Output is correct
8 Correct 17 ms 21504 KB Output is correct
9 Correct 26 ms 21888 KB Output is correct
10 Correct 17 ms 21888 KB Output is correct
11 Correct 23 ms 21888 KB Output is correct
12 Correct 16 ms 21888 KB Output is correct
13 Correct 17 ms 21888 KB Output is correct
14 Correct 24 ms 21880 KB Output is correct
15 Correct 17 ms 21888 KB Output is correct
16 Correct 16 ms 21888 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 874 ms 74028 KB Output is correct
2 Correct 808 ms 74408 KB Output is correct
3 Correct 774 ms 74348 KB Output is correct
4 Correct 802 ms 74468 KB Output is correct
5 Correct 872 ms 74732 KB Output is correct
6 Correct 886 ms 76316 KB Output is correct
7 Correct 878 ms 75564 KB Output is correct
8 Correct 901 ms 76408 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 866 ms 75788 KB Output is correct
2 Correct 826 ms 75240 KB Output is correct
3 Correct 880 ms 73612 KB Output is correct
4 Correct 852 ms 74128 KB Output is correct
5 Correct 875 ms 75388 KB Output is correct
6 Correct 843 ms 74352 KB Output is correct
7 Correct 872 ms 74552 KB Output is correct
8 Correct 885 ms 75668 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 937 ms 67556 KB Output is correct
2 Correct 308 ms 72928 KB Output is correct
3 Correct 416 ms 64236 KB Output is correct
4 Correct 493 ms 64620 KB Output is correct
5 Correct 399 ms 64232 KB Output is correct
6 Correct 476 ms 64748 KB Output is correct
7 Correct 419 ms 64496 KB Output is correct
8 Correct 432 ms 64900 KB Output is correct
9 Correct 452 ms 64364 KB Output is correct
10 Correct 425 ms 64748 KB Output is correct
11 Correct 451 ms 64240 KB Output is correct
12 Correct 910 ms 69232 KB Output is correct
13 Correct 527 ms 64624 KB Output is correct
14 Correct 316 ms 84460 KB Output is correct
15 Correct 235 ms 74232 KB Output is correct
16 Correct 962 ms 69504 KB Output is correct
17 Correct 829 ms 68132 KB Output is correct
18 Correct 833 ms 68840 KB Output is correct
19 Correct 311 ms 73080 KB Output is correct
20 Correct 306 ms 73208 KB Output is correct
21 Correct 310 ms 73208 KB Output is correct
22 Correct 385 ms 73084 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 937 ms 67556 KB Output is correct
2 Correct 308 ms 72928 KB Output is correct
3 Correct 416 ms 64236 KB Output is correct
4 Correct 493 ms 64620 KB Output is correct
5 Correct 399 ms 64232 KB Output is correct
6 Correct 476 ms 64748 KB Output is correct
7 Correct 419 ms 64496 KB Output is correct
8 Correct 432 ms 64900 KB Output is correct
9 Correct 452 ms 64364 KB Output is correct
10 Correct 425 ms 64748 KB Output is correct
11 Correct 451 ms 64240 KB Output is correct
12 Correct 910 ms 69232 KB Output is correct
13 Correct 527 ms 64624 KB Output is correct
14 Correct 316 ms 84460 KB Output is correct
15 Correct 235 ms 74232 KB Output is correct
16 Correct 962 ms 69504 KB Output is correct
17 Correct 829 ms 68132 KB Output is correct
18 Correct 833 ms 68840 KB Output is correct
19 Correct 311 ms 73080 KB Output is correct
20 Correct 306 ms 73208 KB Output is correct
21 Correct 310 ms 73208 KB Output is correct
22 Correct 385 ms 73084 KB Output is correct
23 Correct 879 ms 69732 KB Output is correct
24 Correct 376 ms 76024 KB Output is correct
25 Correct 514 ms 63980 KB Output is correct
26 Correct 606 ms 64812 KB Output is correct
27 Correct 490 ms 64244 KB Output is correct
28 Correct 500 ms 64916 KB Output is correct
29 Correct 486 ms 63728 KB Output is correct
30 Correct 489 ms 64768 KB Output is correct
31 Correct 470 ms 64860 KB Output is correct
32 Correct 470 ms 63536 KB Output is correct
33 Correct 557 ms 64244 KB Output is correct
34 Correct 984 ms 71784 KB Output is correct
35 Correct 490 ms 63476 KB Output is correct
36 Correct 358 ms 88600 KB Output is correct
37 Correct 445 ms 89368 KB Output is correct
38 Correct 900 ms 71656 KB Output is correct
39 Correct 919 ms 71004 KB Output is correct
40 Correct 932 ms 72420 KB Output is correct
41 Correct 457 ms 75900 KB Output is correct
42 Correct 361 ms 75768 KB Output is correct
43 Correct 364 ms 75896 KB Output is correct
44 Correct 366 ms 75772 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 21504 KB Output is correct
2 Correct 15 ms 21504 KB Output is correct
3 Correct 15 ms 21504 KB Output is correct
4 Correct 15 ms 21632 KB Output is correct
5 Correct 15 ms 21504 KB Output is correct
6 Correct 16 ms 21504 KB Output is correct
7 Correct 15 ms 21504 KB Output is correct
8 Correct 17 ms 21504 KB Output is correct
9 Correct 26 ms 21888 KB Output is correct
10 Correct 17 ms 21888 KB Output is correct
11 Correct 23 ms 21888 KB Output is correct
12 Correct 16 ms 21888 KB Output is correct
13 Correct 17 ms 21888 KB Output is correct
14 Correct 24 ms 21880 KB Output is correct
15 Correct 17 ms 21888 KB Output is correct
16 Correct 16 ms 21888 KB Output is correct
17 Correct 874 ms 74028 KB Output is correct
18 Correct 808 ms 74408 KB Output is correct
19 Correct 774 ms 74348 KB Output is correct
20 Correct 802 ms 74468 KB Output is correct
21 Correct 872 ms 74732 KB Output is correct
22 Correct 886 ms 76316 KB Output is correct
23 Correct 878 ms 75564 KB Output is correct
24 Correct 901 ms 76408 KB Output is correct
25 Correct 866 ms 75788 KB Output is correct
26 Correct 826 ms 75240 KB Output is correct
27 Correct 880 ms 73612 KB Output is correct
28 Correct 852 ms 74128 KB Output is correct
29 Correct 875 ms 75388 KB Output is correct
30 Correct 843 ms 74352 KB Output is correct
31 Correct 872 ms 74552 KB Output is correct
32 Correct 885 ms 75668 KB Output is correct
33 Correct 937 ms 67556 KB Output is correct
34 Correct 308 ms 72928 KB Output is correct
35 Correct 416 ms 64236 KB Output is correct
36 Correct 493 ms 64620 KB Output is correct
37 Correct 399 ms 64232 KB Output is correct
38 Correct 476 ms 64748 KB Output is correct
39 Correct 419 ms 64496 KB Output is correct
40 Correct 432 ms 64900 KB Output is correct
41 Correct 452 ms 64364 KB Output is correct
42 Correct 425 ms 64748 KB Output is correct
43 Correct 451 ms 64240 KB Output is correct
44 Correct 910 ms 69232 KB Output is correct
45 Correct 527 ms 64624 KB Output is correct
46 Correct 316 ms 84460 KB Output is correct
47 Correct 235 ms 74232 KB Output is correct
48 Correct 962 ms 69504 KB Output is correct
49 Correct 829 ms 68132 KB Output is correct
50 Correct 833 ms 68840 KB Output is correct
51 Correct 311 ms 73080 KB Output is correct
52 Correct 306 ms 73208 KB Output is correct
53 Correct 310 ms 73208 KB Output is correct
54 Correct 385 ms 73084 KB Output is correct
55 Correct 879 ms 69732 KB Output is correct
56 Correct 376 ms 76024 KB Output is correct
57 Correct 514 ms 63980 KB Output is correct
58 Correct 606 ms 64812 KB Output is correct
59 Correct 490 ms 64244 KB Output is correct
60 Correct 500 ms 64916 KB Output is correct
61 Correct 486 ms 63728 KB Output is correct
62 Correct 489 ms 64768 KB Output is correct
63 Correct 470 ms 64860 KB Output is correct
64 Correct 470 ms 63536 KB Output is correct
65 Correct 557 ms 64244 KB Output is correct
66 Correct 984 ms 71784 KB Output is correct
67 Correct 490 ms 63476 KB Output is correct
68 Correct 358 ms 88600 KB Output is correct
69 Correct 445 ms 89368 KB Output is correct
70 Correct 900 ms 71656 KB Output is correct
71 Correct 919 ms 71004 KB Output is correct
72 Correct 932 ms 72420 KB Output is correct
73 Correct 457 ms 75900 KB Output is correct
74 Correct 361 ms 75768 KB Output is correct
75 Correct 364 ms 75896 KB Output is correct
76 Correct 366 ms 75772 KB Output is correct
77 Correct 1089 ms 74980 KB Output is correct
78 Correct 512 ms 78072 KB Output is correct
79 Correct 727 ms 66292 KB Output is correct
80 Correct 570 ms 65060 KB Output is correct
81 Correct 638 ms 66812 KB Output is correct
82 Correct 653 ms 66068 KB Output is correct
83 Correct 596 ms 65652 KB Output is correct
84 Correct 647 ms 65876 KB Output is correct
85 Correct 649 ms 67444 KB Output is correct
86 Correct 727 ms 66360 KB Output is correct
87 Correct 784 ms 66032 KB Output is correct
88 Correct 950 ms 74216 KB Output is correct
89 Correct 594 ms 66676 KB Output is correct
90 Correct 303 ms 89308 KB Output is correct
91 Correct 355 ms 90008 KB Output is correct
92 Correct 1053 ms 74856 KB Output is correct
93 Correct 914 ms 74016 KB Output is correct
94 Correct 1008 ms 73188 KB Output is correct
95 Correct 381 ms 78200 KB Output is correct
96 Correct 382 ms 78072 KB Output is correct
97 Correct 379 ms 78136 KB Output is correct
98 Correct 383 ms 77944 KB Output is correct