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Submission #274229

# Submission time Handle Problem Language Result Execution time Memory
274229 2020-08-19T10:08:42 Z doowey Aesthetic (NOI20_aesthetic) C++14
100 / 100
 1014 ms 71476 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<ll, ll> pii;

#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

const int N = (int)3e5 + 10;
int u[N], v[N], w[N];
int p[N];

vector<pii> T[N];
ll dist[2][N];
bool has[N];
int n,m,c;

void dijik(int x){
    priority_queue<pii,vector<pii>,greater<pii>> gg;
    int node;
    for(int i = 1; i <= n; i ++ ){
        dist[c][i]=(ll)1e14;
        has[i]=false;
    }
    dist[c][x]=0ll;
    gg.push(mp(0,x));
    while(!gg.empty()){
        node = gg.top().se;
        gg.pop();
        if(has[node]) continue;
        has[node]=true;
        for(auto x : T[node]){
            if(dist[c][node] + w[x.se] < dist[c][x.fi]){
                dist[c][x.fi] = dist[c][node] + w[x.se];
                gg.push(mp(dist[c][x.fi], x.fi));
            }
        }
    }
    c++;
}

vector<pii> E[N];

int tin[N];
int low[N];

ll attm;
int tt;

bool bridge[N];

void dfs(int u, int par){
    tin[u] = ++tt;
    low[u] = tin[u];
    for(auto x : E[u]){
        if(x.fi == par) continue;
        if(tin[x.fi] != -1){
            low[u] = min(low[u], tin[x.fi]);
        }
        else{
            dfs(x.fi, u);
            low[u] = min(low[u], low[x.fi]);
            if(tin[u] < low[x.fi]){
                bridge[x.se] = true;
            }
        }
    }
}

int ids[N];
int id;

void dfs1(int u, int par){
    ids[u]=id;
    for(auto x : E[u]){
        if(ids[x.fi] != -1) continue;
        if(bridge[x.se]) continue;
        dfs1(x.fi, u);
    }
}

bool bad;

int pid[N];
int ip[N];

bool vis[N];

void dfs2(int u, int par){
    vis[u]=true;
    for(auto x : E[u]){
        if(vis[x.fi]) continue;
        if(bridge[x.se]){
            pid[ids[x.fi]] = ids[u];
            ip[ids[x.fi]] = x.se;
            dfs2(x.fi, u);
        }
        else{
            dfs2(x.fi, u);
        }
    }
}

bool check(ll dis){
    attm = dis;
    tt = 0;
    for(int i = 0 ; i < m ; i ++ ){
        bridge[i]=false;
    }
    for(int i = 1; i <= n; i ++ ){
        E[i].clear();
        vis[i]=false;
        tin[i] = -1, low[i] = -1;
        ids[i] = -1;
        pid[i] = -1;
        ip[i] = -1;
    }
    id = 0;
    for(int i = 0 ; i < m ; i ++ ){
        if(dist[0][u[i]] + w[i] + dist[1][v[i]] <= dis || dist[0][v[i]] + w[i] + dist[1][u[i]] <= dis){
            E[u[i]].push_back(mp(v[i], i));
            E[v[i]].push_back(mp(u[i], i));
        }
    }
    dfs(1, 0);
    if(tin[n] == -1) return false; // we assume it is reachable at this point
    bad = false;
    for(int i = 1; i <= n; i ++ ){
        if(tin[i] != -1 && ids[i] == -1){
            id ++ ;
            dfs1(i,-1);
        }
    }
    dfs2(1, 0);
    int node = ids[n];
    int ed;
    while(node != ids[1]){
        ed = ip[node];
        node = pid[node];
        if(dist[0][u[ed]] + dist[1][v[ed]] + w[ed] + p[ed+1] > dis && dist[1][u[ed]] + dist[0][v[ed]] + w[ed] + p[ed+1] > dis)
            return false;
    }
    return true;
}

int main(){
    fastIO;
    cin >> n >> m;
    for(int i = 0 ; i < m ; i ++ ){
        cin >> u[i] >> v[i] >> w[i];
        T[u[i]].push_back(mp(v[i],i));
        T[v[i]].push_back(mp(u[i],i));
    }
    dijik(1);
    dijik(n);
    for(int i = m-1; i >= 0 ; i -- ){
        p[i]=w[i];
        p[i]=max(p[i],p[i+1]);
    }
    ll li = dist[0][n], ri = li+p[1];
    ll mid;
    while(li < ri){
        mid = (li + ri) / 2;
        if(check(mid))
            ri = mid;
        else
            li = mid + 1;
    }
    cout << li << "\n";
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14464 KB Output is correct
2 Correct 11 ms 14592 KB Output is correct
3 Correct 10 ms 14568 KB Output is correct
4 Correct 11 ms 14464 KB Output is correct
5 Correct 11 ms 14464 KB Output is correct
6 Correct 11 ms 14464 KB Output is correct
7 Correct 11 ms 14464 KB Output is correct
8 Correct 10 ms 14464 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14464 KB Output is correct
2 Correct 11 ms 14592 KB Output is correct
3 Correct 10 ms 14568 KB Output is correct
4 Correct 11 ms 14464 KB Output is correct
5 Correct 11 ms 14464 KB Output is correct
6 Correct 11 ms 14464 KB Output is correct
7 Correct 11 ms 14464 KB Output is correct
8 Correct 10 ms 14464 KB Output is correct
9 Correct 12 ms 14712 KB Output is correct
10 Correct 12 ms 14720 KB Output is correct
11 Correct 16 ms 14720 KB Output is correct
12 Correct 16 ms 14720 KB Output is correct
13 Correct 14 ms 14848 KB Output is correct
14 Correct 14 ms 14848 KB Output is correct
15 Correct 13 ms 14848 KB Output is correct
16 Correct 12 ms 14848 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 718 ms 46484 KB Output is correct
2 Correct 724 ms 53380 KB Output is correct
3 Correct 770 ms 52932 KB Output is correct
4 Correct 748 ms 52852 KB Output is correct
5 Correct 806 ms 53052 KB Output is correct
6 Correct 790 ms 54052 KB Output is correct
7 Correct 753 ms 53696 KB Output is correct
8 Correct 801 ms 54016 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 970 ms 47252 KB Output is correct
2 Correct 883 ms 53364 KB Output is correct
3 Correct 749 ms 53156 KB Output is correct
4 Correct 742 ms 53924 KB Output is correct
5 Correct 750 ms 53132 KB Output is correct
6 Correct 738 ms 53368 KB Output is correct
7 Correct 734 ms 53276 KB Output is correct
8 Correct 769 ms 53496 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 484 ms 43144 KB Output is correct
2 Correct 205 ms 47608 KB Output is correct
3 Correct 474 ms 63544 KB Output is correct
4 Correct 518 ms 63540 KB Output is correct
5 Correct 496 ms 63608 KB Output is correct
6 Correct 503 ms 63736 KB Output is correct
7 Correct 522 ms 63608 KB Output is correct
8 Correct 548 ms 63840 KB Output is correct
9 Correct 461 ms 63652 KB Output is correct
10 Correct 516 ms 64044 KB Output is correct
11 Correct 424 ms 63736 KB Output is correct
12 Correct 500 ms 47624 KB Output is correct
13 Correct 602 ms 63736 KB Output is correct
14 Correct 187 ms 59444 KB Output is correct
15 Correct 168 ms 59456 KB Output is correct
16 Correct 527 ms 47612 KB Output is correct
17 Correct 610 ms 46700 KB Output is correct
18 Correct 485 ms 47364 KB Output is correct
19 Correct 235 ms 47736 KB Output is correct
20 Correct 209 ms 47736 KB Output is correct
21 Correct 208 ms 47608 KB Output is correct
22 Correct 258 ms 47752 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 484 ms 43144 KB Output is correct
2 Correct 205 ms 47608 KB Output is correct
3 Correct 474 ms 63544 KB Output is correct
4 Correct 518 ms 63540 KB Output is correct
5 Correct 496 ms 63608 KB Output is correct
6 Correct 503 ms 63736 KB Output is correct
7 Correct 522 ms 63608 KB Output is correct
8 Correct 548 ms 63840 KB Output is correct
9 Correct 461 ms 63652 KB Output is correct
10 Correct 516 ms 64044 KB Output is correct
11 Correct 424 ms 63736 KB Output is correct
12 Correct 500 ms 47624 KB Output is correct
13 Correct 602 ms 63736 KB Output is correct
14 Correct 187 ms 59444 KB Output is correct
15 Correct 168 ms 59456 KB Output is correct
16 Correct 527 ms 47612 KB Output is correct
17 Correct 610 ms 46700 KB Output is correct
18 Correct 485 ms 47364 KB Output is correct
19 Correct 235 ms 47736 KB Output is correct
20 Correct 209 ms 47736 KB Output is correct
21 Correct 208 ms 47608 KB Output is correct
22 Correct 258 ms 47752 KB Output is correct
23 Correct 642 ms 47828 KB Output is correct
24 Correct 339 ms 50424 KB Output is correct
25 Correct 350 ms 48888 KB Output is correct
26 Correct 411 ms 46336 KB Output is correct
27 Correct 342 ms 46328 KB Output is correct
28 Correct 425 ms 49528 KB Output is correct
29 Correct 327 ms 46328 KB Output is correct
30 Correct 391 ms 47864 KB Output is correct
31 Correct 429 ms 47736 KB Output is correct
32 Correct 414 ms 46712 KB Output is correct
33 Correct 349 ms 48376 KB Output is correct
34 Correct 496 ms 47368 KB Output is correct
35 Correct 309 ms 47232 KB Output is correct
36 Correct 196 ms 61548 KB Output is correct
37 Correct 202 ms 62268 KB Output is correct
38 Correct 521 ms 47368 KB Output is correct
39 Correct 594 ms 47188 KB Output is correct
40 Correct 677 ms 47684 KB Output is correct
41 Correct 320 ms 50280 KB Output is correct
42 Correct 297 ms 50320 KB Output is correct
43 Correct 298 ms 50220 KB Output is correct
44 Correct 265 ms 50296 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14464 KB Output is correct
2 Correct 11 ms 14592 KB Output is correct
3 Correct 10 ms 14568 KB Output is correct
4 Correct 11 ms 14464 KB Output is correct
5 Correct 11 ms 14464 KB Output is correct
6 Correct 11 ms 14464 KB Output is correct
7 Correct 11 ms 14464 KB Output is correct
8 Correct 10 ms 14464 KB Output is correct
9 Correct 12 ms 14712 KB Output is correct
10 Correct 12 ms 14720 KB Output is correct
11 Correct 16 ms 14720 KB Output is correct
12 Correct 16 ms 14720 KB Output is correct
13 Correct 14 ms 14848 KB Output is correct
14 Correct 14 ms 14848 KB Output is correct
15 Correct 13 ms 14848 KB Output is correct
16 Correct 12 ms 14848 KB Output is correct
17 Correct 718 ms 46484 KB Output is correct
18 Correct 724 ms 53380 KB Output is correct
19 Correct 770 ms 52932 KB Output is correct
20 Correct 748 ms 52852 KB Output is correct
21 Correct 806 ms 53052 KB Output is correct
22 Correct 790 ms 54052 KB Output is correct
23 Correct 753 ms 53696 KB Output is correct
24 Correct 801 ms 54016 KB Output is correct
25 Correct 970 ms 47252 KB Output is correct
26 Correct 883 ms 53364 KB Output is correct
27 Correct 749 ms 53156 KB Output is correct
28 Correct 742 ms 53924 KB Output is correct
29 Correct 750 ms 53132 KB Output is correct
30 Correct 738 ms 53368 KB Output is correct
31 Correct 734 ms 53276 KB Output is correct
32 Correct 769 ms 53496 KB Output is correct
33 Correct 484 ms 43144 KB Output is correct
34 Correct 205 ms 47608 KB Output is correct
35 Correct 474 ms 63544 KB Output is correct
36 Correct 518 ms 63540 KB Output is correct
37 Correct 496 ms 63608 KB Output is correct
38 Correct 503 ms 63736 KB Output is correct
39 Correct 522 ms 63608 KB Output is correct
40 Correct 548 ms 63840 KB Output is correct
41 Correct 461 ms 63652 KB Output is correct
42 Correct 516 ms 64044 KB Output is correct
43 Correct 424 ms 63736 KB Output is correct
44 Correct 500 ms 47624 KB Output is correct
45 Correct 602 ms 63736 KB Output is correct
46 Correct 187 ms 59444 KB Output is correct
47 Correct 168 ms 59456 KB Output is correct
48 Correct 527 ms 47612 KB Output is correct
49 Correct 610 ms 46700 KB Output is correct
50 Correct 485 ms 47364 KB Output is correct
51 Correct 235 ms 47736 KB Output is correct
52 Correct 209 ms 47736 KB Output is correct
53 Correct 208 ms 47608 KB Output is correct
54 Correct 258 ms 47752 KB Output is correct
55 Correct 642 ms 47828 KB Output is correct
56 Correct 339 ms 50424 KB Output is correct
57 Correct 350 ms 48888 KB Output is correct
58 Correct 411 ms 46336 KB Output is correct
59 Correct 342 ms 46328 KB Output is correct
60 Correct 425 ms 49528 KB Output is correct
61 Correct 327 ms 46328 KB Output is correct
62 Correct 391 ms 47864 KB Output is correct
63 Correct 429 ms 47736 KB Output is correct
64 Correct 414 ms 46712 KB Output is correct
65 Correct 349 ms 48376 KB Output is correct
66 Correct 496 ms 47368 KB Output is correct
67 Correct 309 ms 47232 KB Output is correct
68 Correct 196 ms 61548 KB Output is correct
69 Correct 202 ms 62268 KB Output is correct
70 Correct 521 ms 47368 KB Output is correct
71 Correct 594 ms 47188 KB Output is correct
72 Correct 677 ms 47684 KB Output is correct
73 Correct 320 ms 50280 KB Output is correct
74 Correct 297 ms 50320 KB Output is correct
75 Correct 298 ms 50220 KB Output is correct
76 Correct 265 ms 50296 KB Output is correct
77 Correct 723 ms 50500 KB Output is correct
78 Correct 680 ms 52816 KB Output is correct
79 Correct 850 ms 66048 KB Output is correct
80 Correct 810 ms 65904 KB Output is correct
81 Correct 733 ms 65952 KB Output is correct
82 Correct 723 ms 65656 KB Output is correct
83 Correct 710 ms 66272 KB Output is correct
84 Correct 882 ms 66684 KB Output is correct
85 Correct 798 ms 66040 KB Output is correct
86 Correct 834 ms 66040 KB Output is correct
87 Correct 702 ms 66168 KB Output is correct
88 Correct 813 ms 49988 KB Output is correct
89 Correct 951 ms 66296 KB Output is correct
90 Correct 667 ms 70708 KB Output is correct
91 Correct 696 ms 71476 KB Output is correct
92 Correct 862 ms 50060 KB Output is correct
93 Correct 1014 ms 49596 KB Output is correct
94 Correct 950 ms 49188 KB Output is correct
95 Correct 675 ms 52600 KB Output is correct
96 Correct 765 ms 52728 KB Output is correct
97 Correct 665 ms 52856 KB Output is correct
98 Correct 683 ms 52600 KB Output is correct