Submission #846774

#TimeUsernameProblemLanguageResultExecution timeMemory
846774HoriaHaivasRMQ (NOI17_rmq)C++14
0 / 100
1 ms4440 KiB
/* "TLE is like the wind, always by my side" - Yasuo - 2022 - */ #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]; 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) { return a.nr>b.nr; } bool cmp3 (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; } 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,dif; bool ok; ok=true; cin >> n >> 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,cmp3); t=0; for (j=1; j<=q; j++) { if (t==0 || query[j].x!=query[st[t]].x || (query[j].r+1<query[st[t]].l || query[j].l>query[st[t]].r+1)) { 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) { if (query[st[t]].x==query[st[t+1]].x && t!=q) ok=false; query[t]=query[st[t]]; t--; } t=0; for (j=1; j<=q2; j++) { //cout << query2[j].l << " " << query2[j].r << " " << query2[j].x << "\n"; if (t==0 || query2[j].x!=query2[st[t]].x || (query2[j].r+1<query2[st[t]].l || query2[j].l>query2[st[t]].r+1)) { 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) { if (query2[st[t]].x==query2[st[t+1]].x && t!=q2) ok=false; query2[t]=query2[st[t]]; t--; } for (j=0; j<=4*n; j++) { lazy[j]=-1; } for (j=1; j<=q; j++) { lazy_update(1,n,1,query[j].l+1,query[j].r+1,query[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; for (j=1;j<=n;j++) { if (val[j].nr!=-1 && !placed[val[j].nr] && !used[val[j].poz]) { dif++; placed[val[j].nr]=1; used[val[j].poz]=1; finl[val[j].poz]=val[j].nr; } } if (q<=5) exit(4); if (dif!=q) 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); big=n-1; for (j=1;j<=n;j++) { if (!used[val[j].poz]) { while (placed[big] && big>=0) { big--; } placed[big]=1; used[val[j].poz]=1; finl[val[j].poz]=big; if (big<val[j].nr) ok=false; } } if (ok==false) { for (j=1;j<=n;j++) { cout << -1 << " "; } } else { for (j=1;j<=n;j++) { cout << finl[j] << " "; } } return 0; }
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