oj.uz

Submission #750995

# Submission time Handle Problem Language Result Execution time Memory
750995 2023-05-30T18:17:09 Z Hona_Nguyen Cyberland (APIO23_cyberland) C++17
97 / 100
 1690 ms 49956 KB 
#include "cyberland.h"

#include <bits/stdc++.h>

using namespace std;


double sub_2_5(int N, int M, int K, int H, std::vector<int> x, std::vector<int> y, std::vector<int> c, std::vector<int> arr){
    struct ii{
        int id;
        double w;
    };
    struct cmp{
        bool operator () (ii A, ii B){
            return A.w > B.w;
        }
    };

    priority_queue<ii, vector<ii>, cmp> pq;

    vector<double> dp(N, (double)(1e15));
    vector<vector<pair<int,int>>> G(N);

    for(int i=0;i<M;i++){
        G[x[i]].push_back({y[i], c[i]});
        G[y[i]].push_back({x[i], c[i]});
    }

    dp[0] = 0;
    pq.push({0,dp[0]});

    while(pq.size()){
        ii u = pq.top();
        pq.pop();
        if(dp[u.id] < u.w) continue;
        for(pair<int,int> v: G[u.id]){
            if(dp[u.id] + v.second < dp[v.first]){
                dp[v.first] = dp[u.id] + v.second;
                pq.push({v.first, dp[v.first]});
            }
        }
    }
    if(dp[H] == (double)(1e15)) dp[H] = -1;
    return dp[H];
}

double sub_3_6(int N, int M, int K, int H, std::vector<int> x, std::vector<int> y, std::vector<int> c, std::vector<int> arr){
    struct ii{
        int id;
        double w;
    };
    struct cmp{
        bool operator () (ii A, ii B){
            return A.w > B.w;
        }
    };

    priority_queue<ii, vector<ii>, cmp> pq;

    vector<double> dp(N, (double)(1e15));
    vector<vector<pair<int,int>>> G(N);

    for(int i=0;i<M;i++){
        G[x[i]].push_back({y[i], c[i]});
        G[y[i]].push_back({x[i], c[i]});
    }

    dp[0] = 0;
    pq.push({0,dp[0]});

    vector<bool> vis(N,false);
    queue<int> Q;
    Q.push(0);
    vis[0] = true;

    while(Q.size()){
        int u = Q.front();
        Q.pop();
        for(pair<int,int> v: G[u]){
            if(vis[v.first] == true || v.first == H) continue;
            vis[v.first] = true;
            Q.push(v.first);
        }
    }

    for(int i=1;i<N;i++){
        if(arr[i] == 0 && vis[i] == true){
            dp[i] = 0;
            pq.push({i,dp[i]});
        }
    }

    while(pq.size()){
        ii u = pq.top();
        pq.pop();
        if(dp[u.id] < u.w) continue;
        for(pair<int,int> v: G[u.id]){
            if(dp[u.id] + v.second < dp[v.first]){
                dp[v.first] = dp[u.id] + v.second;
                pq.push({v.first, dp[v.first]});
            }
        }
    }
    if(dp[H] == (double)(1e15)) dp[H] = -1;
    return dp[H];
}

double sub_1_4_7(int N, int M, int K, int H, std::vector<int> x, std::vector<int> y, std::vector<int> c, std::vector<int> arr){
    struct ii{
        int id;
        int div2;
        double w;
    };
    struct cmp{
        bool operator () (ii A, ii B){
            return A.w > B.w;
        }
    };

    priority_queue<ii, vector<ii>, cmp> pq;

    vector<vector<double>> dp(N, vector<double> (K+2, (double)(1e15)));
    vector<vector<pair<int,int>>> G(N);

    for(int i=0;i<M;i++){
        G[x[i]].push_back({y[i], c[i]});
        G[y[i]].push_back({x[i], c[i]});
    }

    dp[0][0] = 0;
    pq.push({0,0,dp[0][0]});

    vector<bool> vis(N,false);
    queue<int> Q;
    Q.push(0);
    vis[0] = true;

    while(Q.size()){
        int u = Q.front();
        Q.pop();
        for(pair<int,int> v: G[u]){
            if(vis[v.first] == true || v.first == H) continue;
            vis[v.first] = true;
            Q.push(v.first);
        }
    }

    for(int i=1;i<N;i++){
        if(arr[i] == 0 && vis[i] == true){
            dp[i][0] = 0;
            pq.push({i,0,dp[i][0]});
        }
    }

    while(pq.size()){
        ii u = pq.top();
        pq.pop();
        if(dp[u.id][u.div2] < u.w) continue;
        if(u.id == H) continue;
        for(pair<int,int> v: G[u.id]){
            if(dp[u.id][u.div2] + v.second < dp[v.first][u.div2]){
                dp[v.first][u.div2] = dp[u.id][u.div2] + v.second;
                pq.push({v.first, u.div2, dp[v.first][u.div2]});
            }
            double tmp = (dp[u.id][u.div2] + v.second) / 2.0;
            if(u.div2 + 1 <= K && arr[v.first] == 2){
                if(tmp < dp[v.first][u.div2+1]){
                    dp[v.first][u.div2+1] = tmp;
                    pq.push({v.first, u.div2+1, dp[v.first][u.div2+1]});
                }
            }
        }
    }

    double ans = (double)(1e15);
    for(int i=0;i<=K;i++) ans = min(ans, dp[H][i]);
    if(ans == (double)(1e15)) ans = -1;
    return ans;
}

double sub_8(int N, int M, int K, int H, std::vector<int> x, std::vector<int> y, std::vector<int> c, std::vector<int> arr){
    struct ii{
        int id;
        int div2;
        double w;
    };
    struct cmp{
        bool operator () (ii A, ii B){
            return A.w > B.w;
        }
    };

    priority_queue<ii, vector<ii>, cmp> pq;

    vector<vector<double>> dp(N, vector<double> (K+2, (double)(1e15)));
    vector<vector<pair<int,int>>> G(N);

    for(int i=0;i<M;i++){
        G[x[i]].push_back({y[i], c[i]});
        G[y[i]].push_back({x[i], c[i]});
    }

    dp[0][0] = 0;
    pq.push({0,0,dp[0][0]});

    vector<bool> vis(N,false);
    queue<int> Q;
    Q.push(0);
    vis[0] = true;

    while(Q.size()){
        int u = Q.front();
        Q.pop();
        for(pair<int,int> v: G[u]){
            if(vis[v.first] == true || v.first == H) continue;
            vis[v.first] = true;
            Q.push(v.first);
        }
    }

    for(int i=1;i<N;i++){
        if(arr[i] == 0 && vis[i] == true){
            dp[i][0] = 0;
            pq.push({i,0,dp[i][0]});
        }
    }

    while(pq.size()){
        ii u = pq.top();
        pq.pop();
        if(dp[u.id][u.div2] < u.w) continue;
        if(u.id == H) continue;
        for(pair<int,int> v: G[u.id]){
            if(dp[u.id][u.div2] + v.second < dp[v.first][u.div2]){
                dp[v.first][u.div2] = dp[u.id][u.div2] + v.second;
                pq.push({v.first, u.div2, dp[v.first][u.div2]});
            }
            double tmp = (dp[u.id][u.div2] + v.second) / 2.0;
            if(u.div2 + 1 <= K && arr[v.first] == 2){
                if(tmp < dp[v.first][u.div2+1]){
                    dp[v.first][u.div2+1] = tmp;
                    pq.push({v.first, u.div2+1, dp[v.first][u.div2+1]});
                }
            }
        }
    }

    double ans = (double)(1e15);
    for(int i=0;i<=K;i++) ans = min(ans, dp[H][i]);
    if(ans == (double)(1e15)) ans = -1;
    return ans;
}

double solve(int N, int M, int K, int H, std::vector<int> x, std::vector<int> y, std::vector<int> c, std::vector<int> arr){
    int check_sub_2_5 = 0;
    for(int i=0;i<N;i++) check_sub_2_5 += (arr[i] == 1);
    if(check_sub_2_5 == N) return sub_2_5(N,M,K,H,x,y,c,arr);

    int check_sub_3_6 = 0;
    for(int i=0;i<N;i++) check_sub_3_6 += (arr[i] != 2);
    if(check_sub_3_6 == N) return sub_3_6(N,M,K,H,x,y,c,arr);

    if(K <= 30) return sub_1_4_7(N,M,K,H,x,y,c,arr);

    return -1;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 468 KB Correct.
2 Correct 22 ms 368 KB Correct.

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 444 KB Correct.
2 Correct 26 ms 468 KB Correct.
3 Correct 23 ms 468 KB Correct.
4 Correct 24 ms 472 KB Correct.
5 Correct 24 ms 500 KB Correct.
6 Correct 20 ms 1476 KB Correct.
7 Correct 27 ms 1432 KB Correct.
8 Correct 12 ms 2656 KB Correct.
9 Correct 24 ms 380 KB Correct.
10 Correct 25 ms 468 KB Correct.

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 460 KB Correct.
2 Correct 26 ms 460 KB Correct.
3 Correct 26 ms 512 KB Correct.
4 Correct 28 ms 384 KB Correct.
5 Correct 26 ms 388 KB Correct.
6 Correct 5 ms 1364 KB Correct.

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 269 ms 27312 KB Correct.
2 Correct 270 ms 1084 KB Correct.
3 Correct 235 ms 1160 KB Correct.
4 Correct 251 ms 1152 KB Correct.
5 Correct 204 ms 484 KB Correct.

Subtask #5
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 504 KB Correct.
2 Correct 24 ms 468 KB Correct.
3 Correct 24 ms 484 KB Correct.
4 Correct 26 ms 1492 KB Correct.
5 Correct 22 ms 384 KB Correct.

Subtask #6
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 468 KB Correct.
2 Correct 22 ms 464 KB Correct.
3 Correct 42 ms 8952 KB Correct.
4 Correct 25 ms 1200 KB Correct.
5 Correct 25 ms 384 KB Correct.
6 Correct 25 ms 480 KB Correct.

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 312 ms 1640 KB Correct.
2 Correct 43 ms 2352 KB Correct.
3 Correct 810 ms 29684 KB Correct.
4 Correct 560 ms 7968 KB Correct.
5 Correct 1690 ms 49956 KB Correct.
6 Correct 735 ms 41300 KB Correct.
7 Correct 554 ms 8216 KB Correct.
8 Correct 531 ms 1796 KB Correct.
9 Correct 264 ms 2112 KB Correct.
10 Correct 256 ms 1532 KB Correct.
11 Correct 507 ms 1024 KB Correct.
12 Correct 275 ms 1604 KB Correct.
13 Correct 289 ms 1708 KB Correct.
14 Correct 503 ms 10924 KB Correct.
15 Correct 507 ms 3372 KB Correct.
16 Correct 266 ms 1584 KB Correct.
17 Correct 318 ms 1520 KB Correct.
18 Correct 325 ms 1500 KB Correct.
19 Correct 753 ms 1640 KB Correct.
20 Correct 20 ms 724 KB Correct.
21 Correct 20 ms 1060 KB Correct.
22 Correct 37 ms 3228 KB Correct.

Subtask #8
0.0 / 3.0

# Verdict Execution time Memory Grader output
1 Incorrect 16 ms 340 KB Wrong Answer.
2 Halted 0 ms 0 KB -