제출 #238486

#제출 시각아이디문제언어결과실행 시간메모리
238486SortingRestore Array (RMI19_restore)C++14
100 / 100
378 ms1088 KiB
#include <bits/stdc++.h>

using namespace std;

const int k_N = 5000 + 3;
const int k_M = 10000 + 3;
const int k_Inf = 1e9 + 3;

int n, m;
vector<array<int, 3>> edges;
int prefix[k_N];

bool bellman_ford(){
    prefix[0] = 0;
    for(int i = 1; i <= n; ++i)
        prefix[i] = k_Inf;

    for(int i = 0; i < n; ++i){
        for(auto &edge: edges){
            int new_prefix = prefix[edge[0]] + edge[2];
            prefix[edge[1]] = min(new_prefix, prefix[edge[1]]);
        }
    }

    for(auto &edge: edges){
        int new_prefix = prefix[edge[0]] + edge[2];
        if(new_prefix < prefix[edge[1]])
            return false;
    }

    return true;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> n >> m;

    for(int i = 1; i <= n; ++i){
        edges.push_back({i - 1, i, 1});
        edges.push_back({i, i - 1, 0});
    }

    for(int i = 0; i < m; ++i){
        int l, r, k, value;
        cin >> l >> r >> k >> value;
        l++, r++;

        if(value == 0)
            edges.push_back({l - 1, r, (r - l + 1) - k});
        else if(value == 1)
            edges.push_back({r, l - 1, -((r - l + 1) - k + 1)});
    }

    if(!bellman_ford()){
        cout << "-1\n";
        return 0;
    }

    for(int i = n; i >= 1; --i)
        prefix[i] -= prefix[i - 1];

    for(int i = 1; i <= n; ++i)
        cout << prefix[i] << " ";
    cout << "\n";
}
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