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Submission #329485

# Submission time Handle Problem Language Result Execution time Memory
329485 2020-11-21T10:12:24 Z Kuuhaku Aesthetic (NOI20_aesthetic) C++17
100 / 100
 723 ms 49900 KB 
//Nov21-2020
#define tasknames "aesthetic"
#include <iostream>
#include <stdio.h>
#include <vector>
#include <queue>
#include <stack>
using namespace std;
const int maxn=3e5+2;
int n, m, x[maxn], y[maxn], c[maxn], maxc[maxn], Time=0, num[maxn], low[maxn];
long long d[2][maxn];
bool ch[2][maxn], kt;
stack<int> st;

struct T
{
    int v, w, id;
};
vector<T> a[maxn];

void Dijkstra(int s,int h)
{
    priority_queue<pair<long long,int>> pq;
    for(int i=1;i<=n;i++)
        d[h][i]=1e18;
    d[h][s]=0;
    pq.push({0,s});
    while(!pq.empty())
    {
        auto u=pq.top();
        pq.pop();
        u.first=-u.first;
        if(u.first!=d[h][u.second])
            continue;
        for(T v:a[u.second])
            if(d[h][v.v]>u.first+v.w)
            {
                d[h][v.v]=u.first+v.w;
                pq.push({-d[h][v.v],v.v});
            }
    }
}

void Enter()
{
    cin>>n>>m;
    for(int i=1;i<=m;i++)
    {
        int u, v, w;
        cin>>u>>v>>w;
        a[u].push_back({v,w,i});
        a[v].push_back({u,w,i});
        x[i]=u;y[i]=v;c[i]=w;
    }
    for(int i=m;i>0;i--)
        maxc[i]=max(maxc[i+1],c[i+1]);
    Dijkstra(1,0);
    Dijkstra(n,1);
}

void Tarjan(int u,int par)
{
    num[u]=low[u]=++Time;
    for(T v:a[u])
    {
        if(!ch[0][v.id])continue;
        if(num[v.v])
        {
            if(v.v!=par)
                low[u]=min(low[u],num[v.v]);
        }
        else
        {
            Tarjan(v.v,u);
            if(low[v.v]>num[u]&&num[n]>=num[v.v]&&ch[1][v.id])
                kt=true;
            else low[u]=min(low[u],low[v.v]);
        }
    }
}

bool Check(long long mid)
{
    for(int i=1;i<=m;i++)
    {
        long long dist=min(d[0][x[i]]+d[1][y[i]],d[1][x[i]]+d[0][y[i]])+c[i];
        ch[0][i]=(dist<=mid);
        ch[1][i]=((dist+maxc[i])>mid);
    }
    fill_n(num,n+1,0);
    fill_n(low,n+1,1e9);
    Time=0;kt=false;
    Tarjan(1,0);
    if(kt||num[n]==0)return true;
    return false;
}

void Solve()
{
    long long l=d[0][n], r=d[0][n]+maxc[1], mid;
    while(l<=r)
    {
        mid=(l+r)/2;
        if(Check(mid))
            l=mid+1;
        else r=mid-1;
    }
    cout<<l;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    Enter();
    Solve();
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 6 ms 7404 KB Output is correct
3 Correct 5 ms 7404 KB Output is correct
4 Correct 6 ms 7404 KB Output is correct
5 Correct 6 ms 7404 KB Output is correct
6 Correct 6 ms 7404 KB Output is correct
7 Correct 6 ms 7404 KB Output is correct
8 Correct 6 ms 7404 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 6 ms 7404 KB Output is correct
3 Correct 5 ms 7404 KB Output is correct
4 Correct 6 ms 7404 KB Output is correct
5 Correct 6 ms 7404 KB Output is correct
6 Correct 6 ms 7404 KB Output is correct
7 Correct 6 ms 7404 KB Output is correct
8 Correct 6 ms 7404 KB Output is correct
9 Correct 7 ms 7660 KB Output is correct
10 Correct 7 ms 7660 KB Output is correct
11 Correct 8 ms 7660 KB Output is correct
12 Correct 7 ms 7660 KB Output is correct
13 Correct 7 ms 7660 KB Output is correct
14 Correct 7 ms 7660 KB Output is correct
15 Correct 7 ms 7660 KB Output is correct
16 Correct 7 ms 7660 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 655 ms 38596 KB Output is correct
2 Correct 653 ms 38764 KB Output is correct
3 Correct 651 ms 38508 KB Output is correct
4 Correct 667 ms 38508 KB Output is correct
5 Correct 723 ms 38508 KB Output is correct
6 Correct 689 ms 39184 KB Output is correct
7 Correct 697 ms 39020 KB Output is correct
8 Correct 685 ms 39424 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 714 ms 39404 KB Output is correct
2 Correct 686 ms 38860 KB Output is correct
3 Correct 692 ms 38636 KB Output is correct
4 Correct 669 ms 39268 KB Output is correct
5 Correct 677 ms 38776 KB Output is correct
6 Correct 674 ms 38896 KB Output is correct
7 Correct 662 ms 38764 KB Output is correct
8 Correct 667 ms 39020 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 413 ms 34020 KB Output is correct
2 Correct 195 ms 32748 KB Output is correct
3 Correct 278 ms 37532 KB Output is correct
4 Correct 270 ms 37740 KB Output is correct
5 Correct 278 ms 37484 KB Output is correct
6 Correct 277 ms 37612 KB Output is correct
7 Correct 269 ms 37740 KB Output is correct
8 Correct 274 ms 37740 KB Output is correct
9 Correct 274 ms 37740 KB Output is correct
10 Correct 274 ms 38024 KB Output is correct
11 Correct 282 ms 37868 KB Output is correct
12 Correct 419 ms 34168 KB Output is correct
13 Correct 271 ms 37740 KB Output is correct
14 Correct 150 ms 49900 KB Output is correct
15 Correct 157 ms 49900 KB Output is correct
16 Correct 405 ms 34312 KB Output is correct
17 Correct 422 ms 33520 KB Output is correct
18 Correct 411 ms 34020 KB Output is correct
19 Correct 191 ms 32748 KB Output is correct
20 Correct 191 ms 32748 KB Output is correct
21 Correct 189 ms 32748 KB Output is correct
22 Correct 192 ms 33096 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 413 ms 34020 KB Output is correct
2 Correct 195 ms 32748 KB Output is correct
3 Correct 278 ms 37532 KB Output is correct
4 Correct 270 ms 37740 KB Output is correct
5 Correct 278 ms 37484 KB Output is correct
6 Correct 277 ms 37612 KB Output is correct
7 Correct 269 ms 37740 KB Output is correct
8 Correct 274 ms 37740 KB Output is correct
9 Correct 274 ms 37740 KB Output is correct
10 Correct 274 ms 38024 KB Output is correct
11 Correct 282 ms 37868 KB Output is correct
12 Correct 419 ms 34168 KB Output is correct
13 Correct 271 ms 37740 KB Output is correct
14 Correct 150 ms 49900 KB Output is correct
15 Correct 157 ms 49900 KB Output is correct
16 Correct 405 ms 34312 KB Output is correct
17 Correct 422 ms 33520 KB Output is correct
18 Correct 411 ms 34020 KB Output is correct
19 Correct 191 ms 32748 KB Output is correct
20 Correct 191 ms 32748 KB Output is correct
21 Correct 189 ms 32748 KB Output is correct
22 Correct 192 ms 33096 KB Output is correct
23 Correct 462 ms 35144 KB Output is correct
24 Correct 243 ms 32876 KB Output is correct
25 Correct 273 ms 33772 KB Output is correct
26 Correct 280 ms 32944 KB Output is correct
27 Correct 283 ms 33004 KB Output is correct
28 Correct 286 ms 34156 KB Output is correct
29 Correct 280 ms 33004 KB Output is correct
30 Correct 285 ms 33516 KB Output is correct
31 Correct 286 ms 33644 KB Output is correct
32 Correct 283 ms 33132 KB Output is correct
33 Correct 285 ms 33772 KB Output is correct
34 Correct 460 ms 35120 KB Output is correct
35 Correct 282 ms 33516 KB Output is correct
36 Correct 173 ms 44912 KB Output is correct
37 Correct 174 ms 45552 KB Output is correct
38 Correct 458 ms 34240 KB Output is correct
39 Correct 446 ms 34644 KB Output is correct
40 Correct 470 ms 35400 KB Output is correct
41 Correct 240 ms 32876 KB Output is correct
42 Correct 247 ms 33004 KB Output is correct
43 Correct 246 ms 32748 KB Output is correct
44 Correct 243 ms 32876 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7404 KB Output is correct
2 Correct 6 ms 7404 KB Output is correct
3 Correct 5 ms 7404 KB Output is correct
4 Correct 6 ms 7404 KB Output is correct
5 Correct 6 ms 7404 KB Output is correct
6 Correct 6 ms 7404 KB Output is correct
7 Correct 6 ms 7404 KB Output is correct
8 Correct 6 ms 7404 KB Output is correct
9 Correct 7 ms 7660 KB Output is correct
10 Correct 7 ms 7660 KB Output is correct
11 Correct 8 ms 7660 KB Output is correct
12 Correct 7 ms 7660 KB Output is correct
13 Correct 7 ms 7660 KB Output is correct
14 Correct 7 ms 7660 KB Output is correct
15 Correct 7 ms 7660 KB Output is correct
16 Correct 7 ms 7660 KB Output is correct
17 Correct 655 ms 38596 KB Output is correct
18 Correct 653 ms 38764 KB Output is correct
19 Correct 651 ms 38508 KB Output is correct
20 Correct 667 ms 38508 KB Output is correct
21 Correct 723 ms 38508 KB Output is correct
22 Correct 689 ms 39184 KB Output is correct
23 Correct 697 ms 39020 KB Output is correct
24 Correct 685 ms 39424 KB Output is correct
25 Correct 714 ms 39404 KB Output is correct
26 Correct 686 ms 38860 KB Output is correct
27 Correct 692 ms 38636 KB Output is correct
28 Correct 669 ms 39268 KB Output is correct
29 Correct 677 ms 38776 KB Output is correct
30 Correct 674 ms 38896 KB Output is correct
31 Correct 662 ms 38764 KB Output is correct
32 Correct 667 ms 39020 KB Output is correct
33 Correct 413 ms 34020 KB Output is correct
34 Correct 195 ms 32748 KB Output is correct
35 Correct 278 ms 37532 KB Output is correct
36 Correct 270 ms 37740 KB Output is correct
37 Correct 278 ms 37484 KB Output is correct
38 Correct 277 ms 37612 KB Output is correct
39 Correct 269 ms 37740 KB Output is correct
40 Correct 274 ms 37740 KB Output is correct
41 Correct 274 ms 37740 KB Output is correct
42 Correct 274 ms 38024 KB Output is correct
43 Correct 282 ms 37868 KB Output is correct
44 Correct 419 ms 34168 KB Output is correct
45 Correct 271 ms 37740 KB Output is correct
46 Correct 150 ms 49900 KB Output is correct
47 Correct 157 ms 49900 KB Output is correct
48 Correct 405 ms 34312 KB Output is correct
49 Correct 422 ms 33520 KB Output is correct
50 Correct 411 ms 34020 KB Output is correct
51 Correct 191 ms 32748 KB Output is correct
52 Correct 191 ms 32748 KB Output is correct
53 Correct 189 ms 32748 KB Output is correct
54 Correct 192 ms 33096 KB Output is correct
55 Correct 462 ms 35144 KB Output is correct
56 Correct 243 ms 32876 KB Output is correct
57 Correct 273 ms 33772 KB Output is correct
58 Correct 280 ms 32944 KB Output is correct
59 Correct 283 ms 33004 KB Output is correct
60 Correct 286 ms 34156 KB Output is correct
61 Correct 280 ms 33004 KB Output is correct
62 Correct 285 ms 33516 KB Output is correct
63 Correct 286 ms 33644 KB Output is correct
64 Correct 283 ms 33132 KB Output is correct
65 Correct 285 ms 33772 KB Output is correct
66 Correct 460 ms 35120 KB Output is correct
67 Correct 282 ms 33516 KB Output is correct
68 Correct 173 ms 44912 KB Output is correct
69 Correct 174 ms 45552 KB Output is correct
70 Correct 458 ms 34240 KB Output is correct
71 Correct 446 ms 34644 KB Output is correct
72 Correct 470 ms 35400 KB Output is correct
73 Correct 240 ms 32876 KB Output is correct
74 Correct 247 ms 33004 KB Output is correct
75 Correct 246 ms 32748 KB Output is correct
76 Correct 243 ms 32876 KB Output is correct
77 Correct 601 ms 37584 KB Output is correct
78 Correct 456 ms 35160 KB Output is correct
79 Correct 421 ms 40044 KB Output is correct
80 Correct 438 ms 39916 KB Output is correct
81 Correct 429 ms 39916 KB Output is correct
82 Correct 415 ms 39788 KB Output is correct
83 Correct 417 ms 40300 KB Output is correct
84 Correct 427 ms 40428 KB Output is correct
85 Correct 415 ms 39916 KB Output is correct
86 Correct 426 ms 40044 KB Output is correct
87 Correct 437 ms 40172 KB Output is correct
88 Correct 587 ms 36696 KB Output is correct
89 Correct 426 ms 40172 KB Output is correct
90 Correct 290 ms 45552 KB Output is correct
91 Correct 303 ms 46320 KB Output is correct
92 Correct 570 ms 37572 KB Output is correct
93 Correct 566 ms 37204 KB Output is correct
94 Correct 547 ms 36808 KB Output is correct
95 Correct 443 ms 35052 KB Output is correct
96 Correct 460 ms 35180 KB Output is correct
97 Correct 452 ms 35052 KB Output is correct
98 Correct 457 ms 35052 KB Output is correct