oj.uz

Submission #1087621

# Submission time Handle Problem Language Result Execution time Memory
1087621 2024-09-13T03:09:50 Z Whisper Aesthetic (NOI20_aesthetic) C++17
51 / 100
 691 ms 75344 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(i ^ p){
            if(num[v]) minimize(low[u], num[v]);
            else{
                tarjan(v, i);
                minimize(low[u], low[v]);
                contain[u] |= contain[v];

                if(num[v] == low[v]){
                    if(!contain[v]) continue;
                    int eu = edge[i].u, ev = edge[i].v;
                    if(minDist[0][eu] + edge[i].w + minDist[1][ev] != minDist[0][numNode]) continue;
                    if(minDist[0][eu] + edge[i].w + minDist[1][ev] + 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);
        maximize(max_weight, edge[i].w);
    }

    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 = max_weight + 1;
    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:128:81: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
  128 |         for (int i = 1; i <= numNode; ++i) newG[i].clear(), contain[i] = num[i] = low[i] = 0;
      |                                                                          ~~~~~~~^~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14428 KB Output is correct
2 Correct 6 ms 14620 KB Output is correct
3 Correct 6 ms 14568 KB Output is correct
4 Correct 6 ms 14428 KB Output is correct
5 Correct 6 ms 14428 KB Output is correct
6 Correct 6 ms 14420 KB Output is correct
7 Correct 7 ms 14428 KB Output is correct
8 Correct 6 ms 14428 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14428 KB Output is correct
2 Correct 6 ms 14620 KB Output is correct
3 Correct 6 ms 14568 KB Output is correct
4 Correct 6 ms 14428 KB Output is correct
5 Correct 6 ms 14428 KB Output is correct
6 Correct 6 ms 14420 KB Output is correct
7 Correct 7 ms 14428 KB Output is correct
8 Correct 6 ms 14428 KB Output is correct
9 Correct 7 ms 14684 KB Output is correct
10 Correct 7 ms 14832 KB Output is correct
11 Correct 8 ms 14680 KB Output is correct
12 Correct 8 ms 14828 KB Output is correct
13 Correct 7 ms 14684 KB Output is correct
14 Correct 7 ms 14680 KB Output is correct
15 Correct 7 ms 14684 KB Output is correct
16 Correct 7 ms 14712 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 639 ms 51032 KB Output is correct
2 Correct 634 ms 51256 KB Output is correct
3 Correct 578 ms 50648 KB Output is correct
4 Correct 618 ms 50772 KB Output is correct
5 Correct 630 ms 51092 KB Output is correct
6 Correct 675 ms 51796 KB Output is correct
7 Correct 638 ms 51536 KB Output is correct
8 Correct 623 ms 51812 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 691 ms 51796 KB Output is correct
2 Correct 646 ms 51280 KB Output is correct
3 Correct 602 ms 51024 KB Output is correct
4 Correct 595 ms 51748 KB Output is correct
5 Correct 611 ms 50900 KB Output is correct
6 Correct 620 ms 51024 KB Output is correct
7 Correct 640 ms 51032 KB Output is correct
8 Correct 603 ms 51376 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 229 ms 44992 KB Output is correct
2 Correct 131 ms 46416 KB Output is correct
3 Correct 186 ms 59732 KB Output is correct
4 Correct 171 ms 59736 KB Output is correct
5 Correct 183 ms 59828 KB Output is correct
6 Correct 181 ms 60096 KB Output is correct
7 Correct 177 ms 59728 KB Output is correct
8 Correct 169 ms 59940 KB Output is correct
9 Correct 175 ms 59732 KB Output is correct
10 Correct 195 ms 60240 KB Output is correct
11 Correct 184 ms 59984 KB Output is correct
12 Correct 212 ms 45156 KB Output is correct
13 Correct 171 ms 59984 KB Output is correct
14 Correct 118 ms 75332 KB Output is correct
15 Correct 113 ms 75344 KB Output is correct
16 Correct 237 ms 44932 KB Output is correct
17 Correct 215 ms 44116 KB Output is correct
18 Correct 215 ms 44720 KB Output is correct
19 Correct 141 ms 46240 KB Output is correct
20 Correct 125 ms 46416 KB Output is correct
21 Correct 126 ms 46416 KB Output is correct
22 Correct 127 ms 46440 KB Output is correct

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 229 ms 44992 KB Output is correct
2 Correct 131 ms 46416 KB Output is correct
3 Correct 186 ms 59732 KB Output is correct
4 Correct 171 ms 59736 KB Output is correct
5 Correct 183 ms 59828 KB Output is correct
6 Correct 181 ms 60096 KB Output is correct
7 Correct 177 ms 59728 KB Output is correct
8 Correct 169 ms 59940 KB Output is correct
9 Correct 175 ms 59732 KB Output is correct
10 Correct 195 ms 60240 KB Output is correct
11 Correct 184 ms 59984 KB Output is correct
12 Correct 212 ms 45156 KB Output is correct
13 Correct 171 ms 59984 KB Output is correct
14 Correct 118 ms 75332 KB Output is correct
15 Correct 113 ms 75344 KB Output is correct
16 Correct 237 ms 44932 KB Output is correct
17 Correct 215 ms 44116 KB Output is correct
18 Correct 215 ms 44720 KB Output is correct
19 Correct 141 ms 46240 KB Output is correct
20 Correct 125 ms 46416 KB Output is correct
21 Correct 126 ms 46416 KB Output is correct
22 Correct 127 ms 46440 KB Output is correct
23 Correct 322 ms 45176 KB Output is correct
24 Correct 183 ms 48980 KB Output is correct
25 Correct 167 ms 43344 KB Output is correct
26 Correct 151 ms 41704 KB Output is correct
27 Correct 176 ms 41664 KB Output is correct
28 Incorrect 145 ms 43860 KB Output isn't correct
29 Halted 0 ms 0 KB -

Subtask #7
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14428 KB Output is correct
2 Correct 6 ms 14620 KB Output is correct
3 Correct 6 ms 14568 KB Output is correct
4 Correct 6 ms 14428 KB Output is correct
5 Correct 6 ms 14428 KB Output is correct
6 Correct 6 ms 14420 KB Output is correct
7 Correct 7 ms 14428 KB Output is correct
8 Correct 6 ms 14428 KB Output is correct
9 Correct 7 ms 14684 KB Output is correct
10 Correct 7 ms 14832 KB Output is correct
11 Correct 8 ms 14680 KB Output is correct
12 Correct 8 ms 14828 KB Output is correct
13 Correct 7 ms 14684 KB Output is correct
14 Correct 7 ms 14680 KB Output is correct
15 Correct 7 ms 14684 KB Output is correct
16 Correct 7 ms 14712 KB Output is correct
17 Correct 639 ms 51032 KB Output is correct
18 Correct 634 ms 51256 KB Output is correct
19 Correct 578 ms 50648 KB Output is correct
20 Correct 618 ms 50772 KB Output is correct
21 Correct 630 ms 51092 KB Output is correct
22 Correct 675 ms 51796 KB Output is correct
23 Correct 638 ms 51536 KB Output is correct
24 Correct 623 ms 51812 KB Output is correct
25 Correct 691 ms 51796 KB Output is correct
26 Correct 646 ms 51280 KB Output is correct
27 Correct 602 ms 51024 KB Output is correct
28 Correct 595 ms 51748 KB Output is correct
29 Correct 611 ms 50900 KB Output is correct
30 Correct 620 ms 51024 KB Output is correct
31 Correct 640 ms 51032 KB Output is correct
32 Correct 603 ms 51376 KB Output is correct
33 Correct 229 ms 44992 KB Output is correct
34 Correct 131 ms 46416 KB Output is correct
35 Correct 186 ms 59732 KB Output is correct
36 Correct 171 ms 59736 KB Output is correct
37 Correct 183 ms 59828 KB Output is correct
38 Correct 181 ms 60096 KB Output is correct
39 Correct 177 ms 59728 KB Output is correct
40 Correct 169 ms 59940 KB Output is correct
41 Correct 175 ms 59732 KB Output is correct
42 Correct 195 ms 60240 KB Output is correct
43 Correct 184 ms 59984 KB Output is correct
44 Correct 212 ms 45156 KB Output is correct
45 Correct 171 ms 59984 KB Output is correct
46 Correct 118 ms 75332 KB Output is correct
47 Correct 113 ms 75344 KB Output is correct
48 Correct 237 ms 44932 KB Output is correct
49 Correct 215 ms 44116 KB Output is correct
50 Correct 215 ms 44720 KB Output is correct
51 Correct 141 ms 46240 KB Output is correct
52 Correct 125 ms 46416 KB Output is correct
53 Correct 126 ms 46416 KB Output is correct
54 Correct 127 ms 46440 KB Output is correct
55 Correct 322 ms 45176 KB Output is correct
56 Correct 183 ms 48980 KB Output is correct
57 Correct 167 ms 43344 KB Output is correct
58 Correct 151 ms 41704 KB Output is correct
59 Correct 176 ms 41664 KB Output is correct
60 Incorrect 145 ms 43860 KB Output isn't correct
61 Halted 0 ms 0 KB -