#include<bits/stdc++.h>
#define MASK(i) (1 << (i))
#define pub push_back
#define all(v) v.begin(), v.end()
#define compact(v) v.erase(unique(all(v)), end(v))
#define pii pair<int,int>
#define fi first
#define se second
#define endl "\n"
#define sz(v) (int)(v).size()
#define dbg(x) "[" #x " = " << (x) << "]"
using namespace std;
template<class T> bool minimize(T& a, T b){if(a > b) return a = b, true;return false;}
template<class T> bool maximize(T& a, T b){if(a < b) return a = b, true;return false;}
typedef long long ll;
typedef long double ld;
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rand(ll l, ll r){return uniform_int_distribution<ll>(l, r)(rng);}
const int N = 1e5 + 15;
const ll INF = 1e18;
int n, q;
int t[N], l[N], r[N], k[N];
namespace subtask1{
bool check(void){
return n <= 18 && q <= 200;
}
bool check(int mask){
for(int j = 1; j <= q; j++){
int cnt = 0;
for(int i = l[j]; i <= r[j]; i++) cnt += ((mask >> i & 1) == t[j]);
if(!t[j] && cnt < k[j]) return false;
if(t[j] && cnt < (r[j] - l[j] + 1) - k[j] + 1) return false;
}
return true;
}
void main(){
for(int mask = 0; mask < (1 << n); mask++){
if(check(mask)){
for(int i = 0; i < n; i++) cout << (mask >> i & 1) << " ";
return;
}
}
return cout << -1, void();
}
}
namespace subtask4{
/*
dp[i] = number of zeros from 1 -> i
dp[0] = 0 -> prefix sum
base: 0 <= diff between dp[i-1] and dp[i] <= 1
*/
struct edge{
int u, v, w;
edge() : u(0), v(0), w(0) {}
edge(int u, int v, int w) : u(u), v(v), w(w) {}
void get(int &U, int &V, int &W){
U = u;
V = v;
W = w;
}
};
ll dp[N];
vector<edge> edges;
void main(){
//notes: detect negative cycle -> mul edge with -1
for(int i = 1; i <= q; i++){
l[i]++, r[i]++;
// t = 0 -> at least k zeros from l -> r
// dp[r] - dp[l-1] >= k
// <=> dp[l-1] + k <= dp[r] -> create and edge (l-1, r, k)
if(!t[i]) edges.push_back(edge(l[i]-1, r[i],-k[i]));
// t = 1 -> zeros <= k-1
// dp[r] - dp[l-1] <= k-1
// dp[r] - k + 1 <= dp[l-1]
else edges.push_back(edge(r[i],l[i]-1,k[i] - 1));
}
//base case: 0 <= dp[i] - dp[i-1] <= 1 -> create 2*n edges
for(int i = 1; i <= n; i++){
// low bound
// dp[i] - dp[i-1] >= 0
// dp[i-1] <= dp[i]
edges.push_back(edge(i-1,i,0));
// up bound
// dp[i] - dp[i-1] <= 1
// dp[i] - 1 <= dp[i-1]
edges.push_back(edge(i,i-1,1));
}
fill(dp, dp + 1 + n, INF);
dp[0] = INF;
for(int turn = 0; turn < n; turn++){
for(int i = 0; i < sz(edges); i++){
int u, v, w; edges[i].get(u,v,w);
minimize(dp[v], dp[u] + w);
}
}
bool exist_neg_cycle = false;
for(int i = 0; i < sz(edges); i++){
int u, v, w; edges[i].get(u,v,w);
if(dp[u] != INF && minimize(dp[v], dp[u] + w)){
exist_neg_cycle = true;
break;
}
}
if(exist_neg_cycle) return cout << -1, void();
for(int i = 1; i <= n; i++) cout << (dp[i] - dp[i-1] < 0 ? 0 : 1) << " ";
}
}
void solve(){
cin >> n >> q;
for(int i = 1; i <= q; i++) cin >> l[i] >> r[i] >> k[i] >> t[i];
/*if(subtask1::check()) subtask1::main();
else*/ subtask4::main();
}
signed main(){
ios_base::sync_with_stdio(NULL);
cin.tie(0); cout.tie(0);
#define task "task"
if(fopen(task".INP", "r")){
freopen(task".INP", "r", stdin);
freopen(task".OUT", "w", stdout);
}
int t; t = 1; //cin >> t;
while(t--) solve();
}
Compilation message (stderr)
restore.cpp: In function 'int main()':
restore.cpp:150:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
150 | freopen(task".INP", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
restore.cpp:151:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
151 | freopen(task".OUT", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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