Because the sequence of the brain cavity does not change, consider using the line tree to maintain the interval sum, the number of left 0, the number of the right 0, the most brain hole in the interval. For query l~r the most brain hole can divide l~r into logn intervals, the total complexity O (NLOGN).
#include <iostream> #include <cstdio> #include <cstdlib> #define N 800005 using namespace std;
int n,m,p,x,y,l,r;
int Sum[n],l[n],r[n],tg[n],v[n],ans[n],rest,hz,ans;
void down (int k) {if (tg[k]!=-1) {int l=k<<1,r=l|1;
TG[L]=TG[R]=TG[K];
SUM[L]=V[L]*TG[K];
SUM[R]=V[R]*TG[K];
if (tg[k]==0) l[l]=r[l]=ans[l]=v[l],l[r]=r[r]=ans[r]=v[r];
else l[l]=r[l]=l[r]=ans[l]=r[r]=ans[r]=0;
Tg[k]=-1;
}} void up (int k) {int l=k<<1,r=l|1;sum[k]=sum[l]+sum[r];
if (!sum[l]) L[k]=l[l]+l[r];else l[k]=l[l];
if (!sum[r]) R[k]=r[l]+r[r];else r[k]=r[r];
Ans[k]=max (Max (Ans[l],ans[r]), r[l]+l[r]);
} void Build (int k,int l,int R) {if (l==r) {V[k]=1;return;}
int mid= (L+R) >>1;
Build (K<<1,l,mid);
Build (K<<1|1,mid+1,r);
v[k]=v[k<<1]+v[k<<1|1];
} void Add (int k,int l,int r,int x,int y) {if (x<=l&&r<=y) {sum[k]=0;tg[k]=0;
L[K]=R[K]=V[K];
Return
} int mid= (L+R) >>1;
Down (k); if (x<=mid) Add (k<<1,L,mid,x,y);
if (y>mid) Add (k<<1|1,mid+1,r,x,y);
Up (k);
} int Get (int k,int l,int r,int x,int y) {if (x<=l&&r<=y) return sum[k];
int mid= (L+R) >>1;
Down (k);
int ans=0;
if (x<=mid) ans+=get (k<<1,l,mid,x,y);
if (y>mid) ans+=get (k<<1|1,mid+1,r,x,y);
return Ans;
} void fix (int k,int l,int r,int x,int y) {if (!rest) return;
if (X<=l&&r<=y&&rest>=v[k]-sum[k]) {rest-=v[k]-sum[k]; Tg[k]=1;
ans[k]=0;
L[K]=R[K]=0;SUM[K]=V[K];
Return
} down (k);
int mid= (L+R) >>1;
if (x<=mid) fix (k<<1,l,mid,x,y);
if (y>mid) fix (k<<1|1,mid+1,r,x,y);
Up (k);
} void qry (int k,int l,int r,int x,int y) {if (x<=l&&r<=y) {Ans=max (ans,ans[k]);
Ans=max (Ans,hz+l[k]);
if (R[k]==v[k]) Hz+=r[k];else hz=r[k];
Return
} down (k);
int mid= (L+R) >>1;
if (x<=mid) qry (k<<1,l,mid,x,y);
if (y>mid) qry (k<<1|1,mid+1,r,x,y); } int main () {scanf ("%d%d", &n,&m);
Build (1,1,n);
Sum[1]=v[1];tg[1]=1;
for (int i=1;i<=m;i++) {scanf ("%d%d%d", &p,&l,&r);
if (p==0) Add (1,1,n,l,r);
else if (p==1) {scanf ("%d%d", &x,&y);
Rest=get (1,1,N,L,R);
Add (1,1,N,L,R);
Fix (1,1,n,x,y); } else {ans=0;
Hz=0;qry (1,1,N,L,R);
printf ("%d\n", ans);
}} return 0;
}