The main idea: an array, four kinds of operations:
LongLong data[250001];void A (Int St,Intnd) {Forint i = st; I <= nd; i++) Data[i] = Data[i] + (i-st +1);}void B (Int St,Intnd) {Forint i = st; I <= nd; i++) Data[i] = Data[i] + (Nd-i +1);}void C (INT St, int nd, int x) {for ( int i = st; i <= nd; i++) data[i] = x;} Long Long S ( int st, int nd) { long long res = 0; For ( int i = st; i <= nd; i++) res + = Data[i]; return Res;}
Simulate these four kinds of operations.
Topic Analysis: Three kinds of update operation, one kind of inquiry operation. The three updates are actually two, the add update (arithmetic progression is still arithmetic progression) and the set update, and the add updated lazy tag records the first, last, and tolerance.
The code is as follows:
# include<bits/stdc++.h>using namespace std;# define LL long long# define MID (L + (R-L)/2) const int N=250000;STRUCT N ode{LL sum; LL x,d,st,ed; BOOL Lazy_set; bool Lazy_add;}; Node tr[(n+5) *4+100];char op[2];void clear_lazy (int rt) {Tr[rt].lazy_add=false; Tr[rt].d=tr[rt].st=tr[rt].ed=0;} void Change1 (int rt,int l,int r,ll st,ll ed,ll d) {tr[rt].lazy_add=true; tr[rt].sum+= (LL) (r-l+1) * (st+ed)/2; tr[rt].st+=st; tr[rt].ed+=ed; Tr[rt].d+=d;} void Change2 (int rt,int l,int r,ll x) {tr[rt].lazy_set=true; Tr[rt].sum= (LL) (r-l+1) *x; Tr[rt].x=x; Clear_lazy (RT);} void pushup (int rt) {tr[rt].sum=tr[rt<<1].sum+tr[rt<<1|1].sum;} void pushdown (int rt,int l,int R) {if (Tr[rt].lazy_set) {change2 (rt<<1,l,mid,tr[rt].x); Change2 (rt<<1|1,mid+1,r,tr[rt].x); Tr[rt].lazy_set=false; } if (Tr[rt].lazy_add) {LL st=tr[rt].st; LL Ed=tr[rt].ed; int d=tr[rt].d; Change1 (rt<<1,l,mid,st,st+d* (mid-l), d); Change1 (rt<<1|1,mid+1,r,st+d* (mid-l+1), ed,d); Clear_lazy (RT); }}void Build (int rt,int l,int r) {tr[rt].lazy_set=false; Tr[rt].lazy_add=false; Tr[rt].sum=tr[rt].d=0; Tr[rt].st=tr[rt].ed=0; if (l==r) return; Build (Rt<<1,l,mid); Build (Rt<<1|1,mid+1,r);} void update1 (int rt,int l,int r,int l,int r,ll D) {if (l<=l&&r<=r) {if (d>0) {Change1 (R T,L,R,L-L+1,R-L+1,D); }else{Change1 (rt,l,r,r-l+1,r-r+1,d); }}else{pushdown (rt,l,r); if (l<=mid) update1 (rt<<1,l,mid,l,r,d); if (r>mid) update1 (rt<<1|1,mid+1,r,l,r,d); Pushup (RT); }}void update2 (int rt,int l,int r,ll l,ll r,ll x) {if (l<=l&&r<=r) {change2 (rt,l,r,x); }else{pushdown (RT,L,R); if (l<=mid) update2 (rt<<1,l,mid,l,r,x); if (r>mid) update2 (rt<<1|1,mid+1,r,l,r,x); Pushup (RT); }}ll query (int rt,int l,int R, LL l,ll R) {if (l<=l&&r<=r) return tr[rt].sum; Pushdown (RT,L,R); LL res=0; if (l<=mid) res+=query (rt<<1,l,mid,l,r); if (r>mid) res+=query (rt<<1|1,mid+1,r,l,r); return res;} int main () {//freopen ("In.txt", "R", stdin); int n; while (scanf ("%d", &n)!=eof) {build (1,1,n); LL A,b,c; while (n--) {scanf ("%s", op); if (op[0]== ' A ') {scanf ("%lld%lld", &a,&b); Update1 (1,1,N,A,B,1LL); }else if (op[0]== ' B ') {scanf ("%lld%lld", &a,&b); Update1 (1,1,N,A,B,-1LL); }else if (op[0]== ' C ') {scanf ("%lld%lld%lld", &a,&b,&c); Update2 (1,1,N,A,B,C); }else{scanf ("%lld%lld", &a,&b); printf ("%lld\n", Query (1,1,n,a,b)); }}} return 0;}
UVA-12436 Rip Van Winkle ' s Code (segment tree interval update)