oj.uz

Submission #1087618

# Submission time Handle Problem Language Result Execution time Memory
1087618 2024-09-13T03:01:39 Z Whisper Aesthetic (NOI20_aesthetic) C++17
35 / 100
 1751 ms 67264 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)


constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

/*
    Phu Trong from Nguyen Tat Thanh High School for gifted student
*/

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
#define MAX                 300005
int numNode, numEdge;
vector<int> G[MAX];
struct Edge{
    int u, v, w;
    Edge(){}
    Edge(int _u, int _v, int _w): u(_u), v(_v), w(_w){}

    int other(int x){return (x ^ u ^ v);}
} edge[MAX];
int minDist[2][MAX];

void dijkstra(int s, int minDist[]){
    for (int i = 1; i <= numNode; ++i) minDist[i] = LINF;
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> q;
    q.emplace(0, s);
    minDist[s] = 0;
    while(q.size()){
        int du, u; tie(du, u) = q.top(); q.pop();
        if(du > minDist[u]) continue;

        for(int&i : G[u]) {
            int v = edge[i].other(u);
            if(minimize(minDist[v], minDist[u] + edge[i].w)){
                q.emplace(minDist[v], v);
            }
        }
    }
}

int low[MAX], num[MAX], timeDfs = 0;

int suffix[MAX];
bool contain[MAX];
vector<pair<int, int>> newG[MAX];
bool ok = 0;

int value = 0;
void tarjan(int u, int p){
    if(u == numNode) contain[u] = true;
    low[u] = num[u] = ++timeDfs;
    for (pair<int, int>&x : newG[u]){
        int v = x.first, i = x.second;
        if(v ^ p){
            if(num[v]) minimize(low[u], num[v]);
            else{
                tarjan(v, u);
                minimize(low[u], low[v]);
                contain[u] |= contain[v];

                if(num[v] == low[v]){
                    if(!contain[v]) continue;
                    if(minDist[0][u] + edge[i].w + minDist[1][v] != minDist[0][numNode]) continue;
                    if(minDist[0][u] + edge[i].w + minDist[1][v] + suffix[i] >= minDist[0][numNode] + value)
                        ok = 1;
                }
            }
        }
    }
}

void process(void){
    cin >> numNode >> numEdge;
    int max_weight = 0;
    for (int i = 1; i <= numEdge; ++i){
        cin >> edge[i].u >> edge[i].v >> edge[i].w;
        G[edge[i].u].emplace_back(i);
        G[edge[i].v].emplace_back(i);
    }

    dijkstra(1, minDist[0]);
    dijkstra(numNode, minDist[1]);

    suffix[numEdge] = -LINF;
    for (int i = numEdge - 1; i >= 1; --i){
        maximize(suffix[i], suffix[i + 1]);
        maximize(suffix[i], edge[i + 1].w);
    }

    for (int i = 1; i <= numEdge; ++i){
        if(minDist[0][edge[i].u] > minDist[0][edge[i].v]) swap(edge[i].u, edge[i].v);
    }
    int l = 0, r = 1e9;
    int add = 0;

    auto check = [&](int val) -> bool{
        timeDfs = 0, ok = 0;
        value = val;
        for (int i = 1; i <= numNode; ++i) newG[i].clear(), contain[i] = num[i] = low[i] = 0;

        auto active = [&](int u, int v, int w, int x) -> bool{
            if(minDist[0][u] + minDist[1][v] + w < minDist[0][numNode] + x) return true;
            if(minDist[0][v] + minDist[1][u] + w < minDist[0][numNode] + x) return true;
            return false;
        };

        for (int u = 1; u <= numNode; ++u){
            for (int&i : G[u]){
                int v = edge[i].other(u);
                if(active(u, v, edge[i].w, val)) {
                    newG[u].emplace_back(v, i);
                }
            }
        }
        tarjan(1, 0);
        return (ok);
    };

    while(l <= r){
        int m = (l + r) >> 1;
        if(check(m)) l = m + 1, add = m;
        else r = m - 1;
    }

    cout << minDist[0][numNode] + add;
}
signed main(){
    #define name "Whisper"
    cin.tie(nullptr) -> sync_with_stdio(false);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    process();
    return (0 ^ 0);
}

Compilation message

Aesthetic.cpp: In lambda function:
Aesthetic.cpp:126:81: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
  126 |         for (int i = 1; i <= numNode; ++i) newG[i].clear(), contain[i] = num[i] = low[i] = 0;
      |                                                                          ~~~~~~~^~~~~~~~~~~~
Aesthetic.cpp: In function 'void process()':
Aesthetic.cpp:101:9: warning: unused variable 'max_weight' [-Wunused-variable]
  101 |     int max_weight = 0;
      |         ^~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14428 KB Output is correct
2 Correct 7 ms 14564 KB Output is correct
3 Correct 6 ms 14428 KB Output is correct
4 Correct 6 ms 14536 KB Output is correct
5 Correct 7 ms 14556 KB Output is correct
6 Correct 7 ms 14428 KB Output is correct
7 Correct 6 ms 14424 KB Output is correct
8 Correct 6 ms 14592 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14428 KB Output is correct
2 Correct 7 ms 14564 KB Output is correct
3 Correct 6 ms 14428 KB Output is correct
4 Correct 6 ms 14536 KB Output is correct
5 Correct 7 ms 14556 KB Output is correct
6 Correct 7 ms 14428 KB Output is correct
7 Correct 6 ms 14424 KB Output is correct
8 Correct 6 ms 14592 KB Output is correct
9 Correct 11 ms 14684 KB Output is correct
10 Correct 9 ms 14684 KB Output is correct
11 Correct 10 ms 14680 KB Output is correct
12 Correct 7 ms 14756 KB Output is correct
13 Correct 11 ms 14684 KB Output is correct
14 Correct 8 ms 14684 KB Output is correct
15 Correct 7 ms 14684 KB Output is correct
16 Correct 8 ms 14740 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 742 ms 49624 KB Output is correct
2 Correct 664 ms 50004 KB Output is correct
3 Correct 630 ms 49488 KB Output is correct
4 Correct 666 ms 49588 KB Output is correct
5 Correct 681 ms 49748 KB Output is correct
6 Correct 781 ms 50492 KB Output is correct
7 Correct 676 ms 50268 KB Output is correct
8 Correct 769 ms 50772 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 667 ms 50516 KB Output is correct
2 Correct 790 ms 49980 KB Output is correct
3 Correct 685 ms 49796 KB Output is correct
4 Correct 654 ms 50256 KB Output is correct
5 Correct 730 ms 49900 KB Output is correct
6 Correct 650 ms 49884 KB Output is correct
7 Correct 640 ms 49744 KB Output is correct
8 Correct 685 ms 50128 KB Output is correct

Subtask #5
0 / 16.0

# Verdict Execution time Memory Grader output
1 Incorrect 1751 ms 67264 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Incorrect 1751 ms 67264 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14428 KB Output is correct
2 Correct 7 ms 14564 KB Output is correct
3 Correct 6 ms 14428 KB Output is correct
4 Correct 6 ms 14536 KB Output is correct
5 Correct 7 ms 14556 KB Output is correct
6 Correct 7 ms 14428 KB Output is correct
7 Correct 6 ms 14424 KB Output is correct
8 Correct 6 ms 14592 KB Output is correct
9 Correct 11 ms 14684 KB Output is correct
10 Correct 9 ms 14684 KB Output is correct
11 Correct 10 ms 14680 KB Output is correct
12 Correct 7 ms 14756 KB Output is correct
13 Correct 11 ms 14684 KB Output is correct
14 Correct 8 ms 14684 KB Output is correct
15 Correct 7 ms 14684 KB Output is correct
16 Correct 8 ms 14740 KB Output is correct
17 Correct 742 ms 49624 KB Output is correct
18 Correct 664 ms 50004 KB Output is correct
19 Correct 630 ms 49488 KB Output is correct
20 Correct 666 ms 49588 KB Output is correct
21 Correct 681 ms 49748 KB Output is correct
22 Correct 781 ms 50492 KB Output is correct
23 Correct 676 ms 50268 KB Output is correct
24 Correct 769 ms 50772 KB Output is correct
25 Correct 667 ms 50516 KB Output is correct
26 Correct 790 ms 49980 KB Output is correct
27 Correct 685 ms 49796 KB Output is correct
28 Correct 654 ms 50256 KB Output is correct
29 Correct 730 ms 49900 KB Output is correct
30 Correct 650 ms 49884 KB Output is correct
31 Correct 640 ms 49744 KB Output is correct
32 Correct 685 ms 50128 KB Output is correct
33 Incorrect 1751 ms 67264 KB Output isn't correct
34 Halted 0 ms 0 KB -