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Submission #458117

# Submission time Handle Problem Language Result Execution time Memory
458117 2021-08-08T01:15:13 Z JovanB Džumbus (COCI19_dzumbus) C++17
110 / 110
 69 ms 10800 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;

const ll INF = 1000000000000000000LL;
const int N = 1000;

ll cost[2][N+5];
ll val[N+5];
ll dp[N+5][N+5][2];
ll dole[2][N+5];
ll pov[2][N+5];
int sz[N+5];

bool visited[N+5];

vector <int> graf[N+5];

int n;

void dfs(int v, int p){
    visited[v] = 1;
    sz[v] = 1;
    for(auto c : graf[v]){
        if(c == p) continue;
        dfs(c, v);
        sz[v] += sz[c];
    }
    for(int i=0; i<=sz[v]; i++) dp[v][i][0] = dp[v][i][1] = INF;
    int tsz = 1;
    for(int i=1; i<=sz[v]; i++) dole[1][i] = INF;
    for(int i=0; i<=sz[v]; i++) pov[1][i] = INF;
    for(auto c : graf[v]){
        if(c == p) continue;
        for(int i=0; i<=sz[v]; i++){
            dole[0][i] = dole[1][i];
            pov[0][i] = pov[1][i];
        }
        for(int i=0; i<=sz[c]; i++){
            for(int j=0; j<=tsz; j++){
                dole[1][i+j] = min(dole[1][i+j], dole[0][j] + min(dp[c][i][0], dp[c][i][1]));
                pov[1][i+j+2] = min(pov[1][i+j+2], dole[0][j] + val[v] + val[c] + dp[c][i][0]);
                pov[1][i+j+1] = min(pov[1][i+j+1], dole[0][j] + val[v] + dp[c][i][1]);
                pov[1][i+j] = min(pov[1][i+j], pov[0][j] + min(dp[c][i][0], dp[c][i][1]));
                pov[1][i+j+1] = min(pov[1][i+j+1], pov[0][j] + val[c] + dp[c][i][0]);
            }
        }
        tsz += sz[c];
    }
    for(int i=0; i<=sz[v]; i++){
        dp[v][i][0] = dole[1][i];
        dp[v][i][1] = pov[1][i];
    }
}

int main(){
    ios_base::sync_with_stdio(false), cin.tie(0);
    cout.precision(10);
    cout << fixed;

    int m;
    cin >> n >> m;
    for(int i=1; i<=n; i++) cin >> val[i];
    for(int i=1; i<=m; i++){
        int a, b;
        cin >> a >> b;
        graf[a].push_back(b);
        graf[b].push_back(a);
    }
    for(int i=1; i<=n; i++) cost[1][i] = INF;
    int tsz = 0;
    for(int i=1; i<=n; i++){
        if(!visited[i]){
            dfs(i, 0);
            for(int j=1; j<=n; j++) cost[0][j] = cost[1][j];
            for(int j=1; j<=sz[i]; j++){
                for(int k=0; k<=tsz; k++){
                    cost[1][j+k] = min(cost[1][j+k], cost[0][k] + min(dp[i][j][1], dp[i][j][0]));
                }
            }
            tsz += sz[i];
        }
    }
    for(int i=n-1; i>=1; i--) cost[1][i] = min(cost[1][i], cost[1][i+1]);
    int qrs;
    cin >> qrs;
    while(qrs--){
        ll d;
        cin >> d;
        int l = 1, r = n, res = 0;
        while(l <= r){
            int mid = (l+r)/2;
            if(cost[1][mid] <= d){
                res = mid;
                l = mid + 1;
            }
            else r = mid - 1;
        }
        cout << res << "\n";
    }
    return 0;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 8780 KB Output is correct
2 Correct 11 ms 9492 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 8780 KB Output is correct
2 Correct 11 ms 9492 KB Output is correct
3 Correct 51 ms 10800 KB Output is correct
4 Correct 58 ms 9512 KB Output is correct
5 Correct 69 ms 8960 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 1540 KB Output is correct
2 Correct 40 ms 1336 KB Output is correct
3 Correct 42 ms 1116 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 8780 KB Output is correct
2 Correct 11 ms 9492 KB Output is correct
3 Correct 51 ms 10800 KB Output is correct
4 Correct 58 ms 9512 KB Output is correct
5 Correct 69 ms 8960 KB Output is correct
6 Correct 40 ms 1540 KB Output is correct
7 Correct 40 ms 1336 KB Output is correct
8 Correct 42 ms 1116 KB Output is correct
9 Correct 45 ms 5392 KB Output is correct
10 Correct 48 ms 5256 KB Output is correct
11 Correct 47 ms 4980 KB Output is correct