oj.uz

Submission #959933

# Submission time Handle Problem Language Result Execution time Memory
959933 2024-04-09T10:30:22 Z Cookie Aesthetic (NOI20_aesthetic) C++14
100 / 100
 515 ms 74440 KB 
#include<bits/stdc++.h>
#include<fstream>
using namespace std;
#define sz(a) (int)a.size()
#define ALL(v) v.begin(), v.end()
#define ALLR(v) v.rbegin(), v.rend()
#define ll long long
#define pb push_back
#define forr(i, a, b) for(int i = a; i < b; i++)
#define dorr(i, a, b) for(int i = a; i >= b; i--)
#define ld long double
#define vt vector
#include<fstream>
#define fi first
#define se second
#define pll pair<ll, ll>
#define pii pair<int, int>
#define mpp make_pair
const ld PI = 3.14159265359, prec = 1e-9;;
//using u128 = __uint128_t;
//const int x[4] = {1, 0, -1, 0};
//const int y[4] = {0, -1, 0, 1};
const ll mod = 1e9 + 69, pr = 31;
const int mxn = 3e5 + 5, mxq = 1e5 + 5, sq = 300, mxv = 5e4 + 1;
//const int base = (1 <<18);
const ll inf = 1e18 + 5, neg = -69420, inf2 = 1e14;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// have fun!
// <3;

int n, m;
ll eu[mxn + 1], ev[mxn + 1], ew[mxn + 1], mx[mxn + 1];
vt<pll>adj[mxn + 1];
struct D{
    ll dis[mxn + 1];
    void go(int s){
        for(int i = 1; i <= n; i++){
            dis[i] = inf;
        }
        dis[s] = 0;
        priority_queue<pll, vt<pll>, greater<pll>>pq;
        pq.push(mpp(dis[s], s));
        while(!pq.empty()){
            auto [dd, u] = pq.top(); pq.pop();
            for(auto [v, w]: adj[u]){
                if(dis[v] > dis[u] + w){
                    dis[v] = dis[u] + w;
                    pq.push(mpp(dis[v], v));
                }
            }
        }
    }
};
D d1, dn;
int low[mxn + 1], num[mxn + 1], tt = 0;
bool contain[mxn + 1];
vt<pii>g[mxn + 1];
bool ok = 0;
void dfs(int s, int pre, ll mid){
    if(s == n)contain[s] = 1;
    low[s] = num[s] = ++tt;
    for(auto [v, id]: g[s]){
        if(id == pre){
            continue;
        }
        if(!num[v]){
            dfs(v, id, mid); contain[s] |= contain[v];
            //cout << low[v] << " " << num[v] << " ";
            low[s] = min(low[s], low[v]);
            if(low[v] == num[v] && contain[v]){
                if(d1.dis[eu[id]] + dn.dis[ev[id]] + ew[id] == d1.dis[n] && d1.dis[eu[id]] + dn.dis[ev[id]] + ew[id] + mx[id] >= d1.dis[n] + mid){
                    ok = 1;
                    //cout << eu[id] << " " << ev[id] << " " << ew[id] << " " << mx[id] << "\n";
                }
            }
        }else{
            low[s] = min(low[s], num[v]);
        }
    }
}
bool ck(ll mid){
   
    for(int i = 1; i <= n; i++){
        g[i].clear(); low[i] = num[i] = 0; contain[i] = 0;
    }
    tt = 0; ok = 0;
    for(int i = 0; i < m; i++){
        ll u = eu[i], v = ev[i], w = ew[i];
        if(d1.dis[u] + dn.dis[v] + ew[i] < d1.dis[n] + mid){
            
            g[u].pb(mpp(v, i)); g[v].pb(mpp(u, i));
        }else if(d1.dis[v] + dn.dis[u] + ew[i] < d1.dis[n] + mid){
            g[u].pb(mpp(v, i)); g[v].pb(mpp(u, i));
        }
    }
    dfs(1, -1, mid);
    //cout << ok << " ";
    return(ok);
}
void solve(){
    cin >> n >> m;
    for(int i = 0; i < m; i++){
        cin >> eu[i] >> ev[i] >> ew[i];
       
        adj[eu[i]].pb(mpp(ev[i], ew[i])); adj[ev[i]].pb(mpp(eu[i], ew[i]));
    }
    for(int i = m - 2; i >= 0; i--){
        mx[i] = max(mx[i + 1], ew[i + 1]);
    }
    d1.go(1); dn.go(n);
    for(int i = 0; i < m; i++){
        if(d1.dis[eu[i]] > d1.dis[ev[i]])swap(eu[i], ev[i]);
    }
    
    

    ll l = 1, r = *max_element(ew + 1, ew + m + 1), ans = 0;
    while(l <= r){
        ll mid = (l + r) >> 1;
        if(ck(mid)){
            ans = mid; l = mid + 1;
        }else{
            r = mid - 1;
        }
    }

    cout << d1.dis[n] + ans;
    

}


signed main(){
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    //freopen("netw.inp", "r", stdin);
    //freopen("netw.out", "w", stdout);
    int ttt; ttt = 1;
    while(ttt--){
        solve();

    }
    return(0);
}
/*
1
5 7 2
1 1 1
3 1 2
2 2 3
4 2 4
2 4 2
1 5 5
3 5 2
5 3
2 7
3 3 1
1 1 1
1 2 2
1 3 3
3 1
*/

Compilation message

Aesthetic.cpp: In member function 'void D::go(int)':
Aesthetic.cpp:44:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   44 |             auto [dd, u] = pq.top(); pq.pop();
      |                  ^
Aesthetic.cpp:45:22: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   45 |             for(auto [v, w]: adj[u]){
      |                      ^
Aesthetic.cpp: In function 'void dfs(int, int, long long int)':
Aesthetic.cpp:62:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   62 |     for(auto [v, id]: g[s]){
      |              ^
Aesthetic.cpp: In function 'bool ck(long long int)':
Aesthetic.cpp:88:34: warning: unused variable 'w' [-Wunused-variable]
   88 |         ll u = eu[i], v = ev[i], w = ew[i];
      |                                  ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 29272 KB Output is correct
2 Correct 9 ms 29380 KB Output is correct
3 Correct 5 ms 29272 KB Output is correct
4 Correct 6 ms 29276 KB Output is correct
5 Correct 6 ms 29276 KB Output is correct
6 Correct 6 ms 29272 KB Output is correct
7 Correct 5 ms 29272 KB Output is correct
8 Correct 5 ms 29272 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 29272 KB Output is correct
2 Correct 9 ms 29380 KB Output is correct
3 Correct 5 ms 29272 KB Output is correct
4 Correct 6 ms 29276 KB Output is correct
5 Correct 6 ms 29276 KB Output is correct
6 Correct 6 ms 29272 KB Output is correct
7 Correct 5 ms 29272 KB Output is correct
8 Correct 5 ms 29272 KB Output is correct
9 Correct 6 ms 29276 KB Output is correct
10 Correct 8 ms 29532 KB Output is correct
11 Correct 7 ms 29360 KB Output is correct
12 Correct 7 ms 29448 KB Output is correct
13 Correct 6 ms 29532 KB Output is correct
14 Correct 7 ms 29532 KB Output is correct
15 Correct 7 ms 29456 KB Output is correct
16 Correct 7 ms 29532 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 431 ms 54292 KB Output is correct
2 Correct 497 ms 54096 KB Output is correct
3 Correct 378 ms 53784 KB Output is correct
4 Correct 396 ms 54096 KB Output is correct
5 Correct 445 ms 53920 KB Output is correct
6 Correct 482 ms 54712 KB Output is correct
7 Correct 475 ms 54432 KB Output is correct
8 Correct 463 ms 54528 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 515 ms 54684 KB Output is correct
2 Correct 463 ms 54056 KB Output is correct
3 Correct 444 ms 54108 KB Output is correct
4 Correct 398 ms 54568 KB Output is correct
5 Correct 463 ms 53996 KB Output is correct
6 Correct 389 ms 54436 KB Output is correct
7 Correct 384 ms 54172 KB Output is correct
8 Correct 417 ms 54356 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 293 ms 53048 KB Output is correct
2 Correct 143 ms 49504 KB Output is correct
3 Correct 192 ms 65552 KB Output is correct
4 Correct 208 ms 65616 KB Output is correct
5 Correct 209 ms 66316 KB Output is correct
6 Correct 192 ms 65996 KB Output is correct
7 Correct 226 ms 65760 KB Output is correct
8 Correct 206 ms 65860 KB Output is correct
9 Correct 187 ms 65620 KB Output is correct
10 Correct 183 ms 66132 KB Output is correct
11 Correct 204 ms 65948 KB Output is correct
12 Correct 290 ms 53576 KB Output is correct
13 Correct 191 ms 65916 KB Output is correct
14 Correct 96 ms 63600 KB Output is correct
15 Correct 107 ms 63572 KB Output is correct
16 Correct 233 ms 53696 KB Output is correct
17 Correct 229 ms 53020 KB Output is correct
18 Correct 230 ms 53320 KB Output is correct
19 Correct 120 ms 49488 KB Output is correct
20 Correct 120 ms 49540 KB Output is correct
21 Correct 123 ms 49488 KB Output is correct
22 Correct 122 ms 49528 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 293 ms 53048 KB Output is correct
2 Correct 143 ms 49504 KB Output is correct
3 Correct 192 ms 65552 KB Output is correct
4 Correct 208 ms 65616 KB Output is correct
5 Correct 209 ms 66316 KB Output is correct
6 Correct 192 ms 65996 KB Output is correct
7 Correct 226 ms 65760 KB Output is correct
8 Correct 206 ms 65860 KB Output is correct
9 Correct 187 ms 65620 KB Output is correct
10 Correct 183 ms 66132 KB Output is correct
11 Correct 204 ms 65948 KB Output is correct
12 Correct 290 ms 53576 KB Output is correct
13 Correct 191 ms 65916 KB Output is correct
14 Correct 96 ms 63600 KB Output is correct
15 Correct 107 ms 63572 KB Output is correct
16 Correct 233 ms 53696 KB Output is correct
17 Correct 229 ms 53020 KB Output is correct
18 Correct 230 ms 53320 KB Output is correct
19 Correct 120 ms 49488 KB Output is correct
20 Correct 120 ms 49540 KB Output is correct
21 Correct 123 ms 49488 KB Output is correct
22 Correct 122 ms 49528 KB Output is correct
23 Correct 313 ms 54840 KB Output is correct
24 Correct 166 ms 51536 KB Output is correct
25 Correct 161 ms 52844 KB Output is correct
26 Correct 150 ms 51752 KB Output is correct
27 Correct 153 ms 51980 KB Output is correct
28 Correct 163 ms 53256 KB Output is correct
29 Correct 165 ms 51824 KB Output is correct
30 Correct 156 ms 52188 KB Output is correct
31 Correct 168 ms 52332 KB Output is correct
32 Correct 157 ms 51984 KB Output is correct
33 Correct 201 ms 52612 KB Output is correct
34 Correct 310 ms 54688 KB Output is correct
35 Correct 175 ms 52316 KB Output is correct
36 Correct 129 ms 68548 KB Output is correct
37 Correct 134 ms 69896 KB Output is correct
38 Correct 266 ms 53456 KB Output is correct
39 Correct 312 ms 54540 KB Output is correct
40 Correct 277 ms 55904 KB Output is correct
41 Correct 166 ms 51620 KB Output is correct
42 Correct 167 ms 51612 KB Output is correct
43 Correct 194 ms 51588 KB Output is correct
44 Correct 165 ms 51540 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 29272 KB Output is correct
2 Correct 9 ms 29380 KB Output is correct
3 Correct 5 ms 29272 KB Output is correct
4 Correct 6 ms 29276 KB Output is correct
5 Correct 6 ms 29276 KB Output is correct
6 Correct 6 ms 29272 KB Output is correct
7 Correct 5 ms 29272 KB Output is correct
8 Correct 5 ms 29272 KB Output is correct
9 Correct 6 ms 29276 KB Output is correct
10 Correct 8 ms 29532 KB Output is correct
11 Correct 7 ms 29360 KB Output is correct
12 Correct 7 ms 29448 KB Output is correct
13 Correct 6 ms 29532 KB Output is correct
14 Correct 7 ms 29532 KB Output is correct
15 Correct 7 ms 29456 KB Output is correct
16 Correct 7 ms 29532 KB Output is correct
17 Correct 431 ms 54292 KB Output is correct
18 Correct 497 ms 54096 KB Output is correct
19 Correct 378 ms 53784 KB Output is correct
20 Correct 396 ms 54096 KB Output is correct
21 Correct 445 ms 53920 KB Output is correct
22 Correct 482 ms 54712 KB Output is correct
23 Correct 475 ms 54432 KB Output is correct
24 Correct 463 ms 54528 KB Output is correct
25 Correct 515 ms 54684 KB Output is correct
26 Correct 463 ms 54056 KB Output is correct
27 Correct 444 ms 54108 KB Output is correct
28 Correct 398 ms 54568 KB Output is correct
29 Correct 463 ms 53996 KB Output is correct
30 Correct 389 ms 54436 KB Output is correct
31 Correct 384 ms 54172 KB Output is correct
32 Correct 417 ms 54356 KB Output is correct
33 Correct 293 ms 53048 KB Output is correct
34 Correct 143 ms 49504 KB Output is correct
35 Correct 192 ms 65552 KB Output is correct
36 Correct 208 ms 65616 KB Output is correct
37 Correct 209 ms 66316 KB Output is correct
38 Correct 192 ms 65996 KB Output is correct
39 Correct 226 ms 65760 KB Output is correct
40 Correct 206 ms 65860 KB Output is correct
41 Correct 187 ms 65620 KB Output is correct
42 Correct 183 ms 66132 KB Output is correct
43 Correct 204 ms 65948 KB Output is correct
44 Correct 290 ms 53576 KB Output is correct
45 Correct 191 ms 65916 KB Output is correct
46 Correct 96 ms 63600 KB Output is correct
47 Correct 107 ms 63572 KB Output is correct
48 Correct 233 ms 53696 KB Output is correct
49 Correct 229 ms 53020 KB Output is correct
50 Correct 230 ms 53320 KB Output is correct
51 Correct 120 ms 49488 KB Output is correct
52 Correct 120 ms 49540 KB Output is correct
53 Correct 123 ms 49488 KB Output is correct
54 Correct 122 ms 49528 KB Output is correct
55 Correct 313 ms 54840 KB Output is correct
56 Correct 166 ms 51536 KB Output is correct
57 Correct 161 ms 52844 KB Output is correct
58 Correct 150 ms 51752 KB Output is correct
59 Correct 153 ms 51980 KB Output is correct
60 Correct 163 ms 53256 KB Output is correct
61 Correct 165 ms 51824 KB Output is correct
62 Correct 156 ms 52188 KB Output is correct
63 Correct 168 ms 52332 KB Output is correct
64 Correct 157 ms 51984 KB Output is correct
65 Correct 201 ms 52612 KB Output is correct
66 Correct 310 ms 54688 KB Output is correct
67 Correct 175 ms 52316 KB Output is correct
68 Correct 129 ms 68548 KB Output is correct
69 Correct 134 ms 69896 KB Output is correct
70 Correct 266 ms 53456 KB Output is correct
71 Correct 312 ms 54540 KB Output is correct
72 Correct 277 ms 55904 KB Output is correct
73 Correct 166 ms 51620 KB Output is correct
74 Correct 167 ms 51612 KB Output is correct
75 Correct 194 ms 51588 KB Output is correct
76 Correct 165 ms 51540 KB Output is correct
77 Correct 400 ms 57256 KB Output is correct
78 Correct 280 ms 53932 KB Output is correct
79 Correct 292 ms 68180 KB Output is correct
80 Correct 343 ms 67920 KB Output is correct
81 Correct 310 ms 67936 KB Output is correct
82 Correct 335 ms 67924 KB Output is correct
83 Correct 311 ms 68460 KB Output is correct
84 Correct 334 ms 68432 KB Output is correct
85 Correct 284 ms 67888 KB Output is correct
86 Correct 300 ms 68036 KB Output is correct
87 Correct 368 ms 68432 KB Output is correct
88 Correct 342 ms 55720 KB Output is correct
89 Correct 307 ms 68180 KB Output is correct
90 Correct 300 ms 73232 KB Output is correct
91 Correct 293 ms 74440 KB Output is correct
92 Correct 365 ms 57708 KB Output is correct
93 Correct 353 ms 56872 KB Output is correct
94 Correct 416 ms 56688 KB Output is correct
95 Correct 273 ms 54056 KB Output is correct
96 Correct 300 ms 54116 KB Output is correct
97 Correct 297 ms 54100 KB Output is correct
98 Correct 284 ms 54352 KB Output is correct