oj.uz

Submission #427810

# Submission time Handle Problem Language Result Execution time Memory
427810 2021-06-14T23:41:59 Z gmyu Restore Array (RMI19_restore) C++14
7 / 100
 600 ms 912 KB 
/*
ID: USACO_template
LANG: C++
PROG: https://oj.uz/problem/view/RMI19_restore
*/
#include <iostream>  //cin , cout
#include <fstream>   //fin, fout
#include <stdio.h>   // scanf , pringf
#include <cstdio>
#include <algorithm> // sort , stuff
#include <stack>     // stacks
#include <queue>     // queues
#include <map>
#include <string>
#include <string.h>
#include <set>
#include <assert.h>     /* assert */


using namespace std;

typedef pair<int, int>          pii;
typedef vector<int>             vi;     /// adjlist without weight
typedef vector<pii>             vii;    /// adjlist with weight
typedef vector<pair<int,pii>>   vpip;   /// edge with weight
typedef long long               ll;

#define mp  make_pair
#define ff  first
#define ss  second
#define pb  push_back
#define sz(x)   (int)(x).size()

const int MOD = 1e9+7;  // 998244353;
const int MX  = 2e5+5;   //
const ll  INF = 1e18;    //

#define MAXV 5007
#define MAXE 100007


bool debug;

int N, M;
vii adjlist[MAXV];
int useNode[MAXV];
int dist[MAXV], cnt[MAXV], inq[MAXV];

bool spfa(int s) {  /// Shortest Path Faster Algorithm
    for(int i=0; i<N; i++) {
        dist[i] = MX;
        cnt[i] = 0; inq[i] = 0;
    }
    queue<int> q;

    dist[s] = 0;
    q.push(s); inq[s] = 1;
    while (!q.empty()) {
        int v = q.front();
        q.pop(); inq[v] = 0;

        for(auto e : adjlist[v]) {
            int u = e.ff, w = e.ss;
            if(dist[v] + w < dist[u]) {
                dist[u] = dist[v] + w;
                if(!inq[u]) {
                    q.push(u); inq[u] = 1;
                    cnt[u]++;
                    if(cnt[u]>N) return false;
                }
            }
        }
    }

    return true;
}

int main() {
    debug = false;
    ios_base::sync_with_stdio(false); cin.tie(0);

    cin >> N >> M;

    /// solve linear inequality function using negative weight SSSP approach
    for(int i=0;i<M; i++) {
        int l, r, k, val; cin >> l >> r >> k >> val;
        /// xi is number of 1 from 0 to i
        l++; r++;
        if(val == 1) {
            /// k-th smallest is 1, i.e. # of 0 < k
            /// (r-l+1) - (x[r] - x[l-1]) < k, i.e. x[l-1] - x[r] <= -(r-l+1) + k -1
            adjlist[r].pb(mp(l-1, -(r-l+1) + k -1));
            if(debug) cout << r << "->" << l-1 << " = " << -(r-l+1) + k -1 << endl;
        } else {
            /// k-th smallest is 0, i.e. # of 0 >= k
            /// (r-l+1) - (x[r] - x[l-1]) >= k, i.e. x[r] - x[l-1] <= (r-l+1)-k
            adjlist[l-1].pb(mp(r, (r-l+1)-k));
            if(debug) cout << l-1 << "->" << r << " = " << k -1 << endl;
        }
    }
    /// restriction: the increase from x[i-1] to x[i] is either 0 or 1
    for(int i=1; i<=N; i++) {
        /// x[i] - x[i-1] <=1
        adjlist[i-1].pb(mp(i, 1));
        /// x[i] - x[i-1] >=0, i.e. x[i-1] - x[i] <=0
        adjlist[i].pb(mp(i-1, 0));
    }
    N++;

    /// SPFA
    if(!spfa(0)) {
        cout << -1 << endl;
        if(debug) {
            cout << endl;
            for(int i=1; i<N; i++) cout << dist[i] << endl;
        }
        exit(0);
    }

    /// output a possible solution which is the distance from source s
    for(int i=1; i<N; i++) {
        if(dist[i] > dist[i-1]) cout << 1;
        else cout << 0;
        cout << " ";
    }
    cout << endl;

    if(debug) cout << endl << "EOL" << endl;

}

/**
4 5
0 1 2 1
0 2 2 0
2 2 1 0
0 1 1 0
1 2 1 0

*/

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct

Subtask #2
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 840 KB Output is correct
2 Correct 15 ms 828 KB Output is correct
3 Correct 15 ms 912 KB Output is correct
4 Correct 13 ms 844 KB Output is correct
5 Execution timed out 1088 ms 844 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #3
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 840 KB Output is correct
2 Correct 15 ms 828 KB Output is correct
3 Correct 15 ms 912 KB Output is correct
4 Correct 13 ms 844 KB Output is correct
5 Execution timed out 1088 ms 844 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #4
0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 13 ms 840 KB Output is correct
12 Correct 15 ms 828 KB Output is correct
13 Correct 15 ms 912 KB Output is correct
14 Correct 13 ms 844 KB Output is correct
15 Execution timed out 1088 ms 844 KB Time limit exceeded
16 Halted 0 ms 0 KB -