# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
847797 | HoriaHaivas | RMQ (NOI17_rmq) | C++14 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
"TLE is like the wind, always by my side"
- Yasuo - 2022 -
*/
/*
"VIATA MEA O IMPART ALATURI DE VOLUNTARI!"
*/
#include<bits/stdc++.h>
#define debug(x) cerr << #x << " " << x << "\n"
#define debugs(x) cerr << #x << " " << x << " "
#pragma GCC optimize("Ofast")
using namespace std;
struct qq
{
int l;
int r;
int x;
};
struct ptval
{
int nr;
int poz;
};
ptval val[100001];
const int inf=INT_MAX;
qq query[100001];
qq query2[100001];
qq aux[100001];
int st[100001];
int finl[100001];
bool placed[100001];
bool used[100001];
int lazy[400001];
bool cmp (qq a, qq b)
{
if (a.x!=b.x)
return a.x<b.x;
else if (a.l!=b.l)
return a.l<b.l;
else
return a.r<b.r;
}
bool cmp2(ptval a, ptval b)
{
if (a.nr!=b.nr)
return a.nr>b.nr;
else
return a.poz<b.poz;
}
void propagate(int parent, int child)
{
lazy[child]=lazy[parent];
}
void lazy_update (int l, int r, int val, int qa, int qb, int x)
{
if (lazy[val]!=-1)
{
if (r!=l)
{
propagate(val,val*2);
propagate(val,val*2+1);
}
lazy[val]=-1;
}
if (l>qb || r<qa)
return;
if (qa<=l && r<=qb)
{
lazy[val]=x;
return;
}
int mid;
mid=(l+r)/2;
if (qa<=mid)
lazy_update(l,mid,val*2,qa,qb,x);
if (qb>mid)
lazy_update(mid+1,r,val*2+1,qa,qb,x);
}
int qry (int l, int r, int val, int qa, int qb)
{
if (qa<=l && r<=qb)
{
return lazy[val];
}
if (lazy[val]!=-1)
{
if (r!=l)
{
propagate(val,val*2);
propagate(val,val*2+1);
}
lazy[val]=-1;
}
if (r<qa || l>qb)
return inf;
int mid,ans;
mid=(l+r)/2;
ans=inf;
if (qa<=mid)
ans=min(ans,qry(l,mid,val*2,qa,qb));
if (qb>mid)
ans=min(ans,qry(mid+1,r,val*2+1,qa,qb));
return ans;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie();
cout.tie();
int n,q,i,j,t,q2,big_stunna,dif,cnt;
bool ok;
ok=true;
cin >> n >> q;
y=q;
for (i=1; i<=q; i++)
{
cin >> query[i].l >> query[i].r >> query[i].x;
query2[i]=query[i];
}
sort(query+1,query+1+q,cmp);
sort(query2+1,query2+1+q,cmp);
t=0;
for (j=1; j<=q; j++)
{
if (t==0 || query[j].x!=query[st[t]].x || (query[j].r<query[st[t]].l || query[j].l>query[st[t]].r))
{
t++;
st[t]=j;
}
else
{
query[st[t]].l=max(query[st[t]].l,query[j].l);
query[st[t]].r=min(query[st[t]].r,query[j].r);
}
}
q2=q;
q=t;
while (t>0)
{
aux[t]=query[st[t]];
t--;
}
for (j=1; j<=q; j++)
{
query[j]=aux[j];
if (query[j].l==query[j-1].l && query[j].r==query[j-1].r && query[j].x!=query[j-1].x)
ok=false;
}
t=0;
for (j=1; j<=q2; j++)
{
if (t==0 || query2[j].x!=query2[st[t]].x || (query2[j].r<query2[st[t]].l || query2[j].l>query2[st[t]].r))
{
t++;
st[t]=j;
}
else
{
query2[st[t]].l=min(query2[st[t]].l,query2[j].l);
query2[st[t]].r=max(query2[st[t]].r,query2[j].r);
}
}
q2=t;
while (t>0)
{
aux[t]=query2[st[t]];
t--;
}
for (j=1; j<=q2; j++)
{
query2[j]=aux[j];
if (query2[j].l==query2[j-1].l && query2[j].r==query2[j-1].r && query2[j].x!=query2[j-1].x)
ok=false;
}
for (j=0; j<=4*n; j++)
{
lazy[j]=-1;
}
for (j=1; j<=q2; j++)
{
lazy_update(1,n,1,query2[j].l+1,query2[j].r+1,query2[j].x);
}
for (j=1; j<=n; j++)
{
val[j].nr=qry(1,n,1,j,j);
val[j].poz=j;
}
sort(val+1,val+1+n,cmp2);
dif=0;
cnt=q;
for (j=1; j<=n; j++)
{
if (val[j].nr!=-1 && !placed[val[j].nr] && !used[val[j].poz] && query[cnt].l+1<=val[j].poz && query[cnt].r+1>=val[j].poz)
{
dif++;
cnt--;
placed[val[j].nr]=1;
used[val[j].poz]=1;
finl[val[j].poz]=val[j].nr;
}
}
if (dif!=q)
ok=false;
big_stunna=n-1;
for (j=1; j<=n; j++)
{
if (!used[val[j].poz])
{
while (big_stunna>=0 && placed[big_stunna])
{
big_stunna--;
}
if (big_stunna<val[j].nr)
{
ok=false;
break;
}
placed[big_stunna]=1;
used[val[j].poz]=1;
finl[val[j].poz]=big_stunna;
}
}
if (ok==false)
{
for (j=1; j<=n; j++)
{
cout << -1 << " ";
}
}
else
{
for (j=1;j<=n;j++)
{
cout << finl[j] << " ";
}
}
return 0;
}