Description
有N个位置,M个操作。操作有两种,每次操作如果是1 a b c的形式表示在第a个位置到第b个位置,每个位置加入一个数c 如果是2 a b c形式,表示询问从第a个位置到第b个位置,第C大的数是多少。
Solution
这题是可以区间线段树套权值线段树来做的
但是我想练一下整体二分
顺便写一个树状数组的区间修改+区间查询
class BIT{ #define NM 50005 #define lb(x) (x&(-x)) private: ll t1[NM],t2[NM],N; BIT(){} public: BIT(int _n):N(_n){memset(t1,0,sizeof t1);memset(t2,0,sizeof t2);} inline void CC(int p,int v){for(reg int x=p;x<=N;x+=lb(x))t1[x]+=v,t2[x]+=v*p*1ll;} inline void C(int l,int r,int x){CC(l,x);CC(r+1,-x);} inline ll GG(int p){ll r=0;for(reg int x=p;x;x-=lb(x))r+=(p+1)*t1[x]-t2[x];return r;} inline ll G(int l,int r){return GG(r)-GG(l-1);} #undef NM #undef lb};
Code
#include#define ll long long#define max(a,b) ((a)>(b)?(a):(b))#define min(a,b) ((a)<(b)?(a):(b))inline ll read(){ ll x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=(x<<3)+(x<<1)+ch-'0';ch=getchar();} return x*f;}#define reg registerclass BIT{ #define NM 50005 #define lb(x) (x&(-x)) private: ll t1[NM],t2[NM],N; BIT(){} public: BIT(int _n):N(_n){memset(t1,0,sizeof t1);memset(t2,0,sizeof t2);} inline void CC(int p,int v){for(reg int x=p;x<=N;x+=lb(x))t1[x]+=v,t2[x]+=v*p*1ll;} inline void C(int l,int r,int x){CC(l,x);CC(r+1,-x);} inline ll GG(int p){ll r=0;for(reg int x=p;x;x-=lb(x))r+=(p+1)*t1[x]-t2[x];return r;} inline ll G(int l,int r){return GG(r)-GG(l-1);} #undef NM #undef lb};#define MN 50005struct ques{int l,r,id,opt;ll c;}q[MN],b1[MN],b2[MN];int n,m,tot,cnt,num[MN],Ans[MN];void solve(int l=1,int r=tot,int ql=1,int qr=m){ if(ql>qr) return;// printf("%d %d %d %d\n",l,r,ql,qr); static BIT T(n);register int i; if(l==r) { for(i=ql;i<=qr;++i)if(q[i].opt==2)Ans[q[i].id]=num[l]; return; } register int mid=(l+r+1)>>1,tpb1=0,tpb2=0;register ll tmp; for(i=ql;i<=qr;++i) { if(q[i].opt==1) { if(q[i].c>=num[mid]) T.C(q[i].l,q[i].r,1),b2[++tpb2]=q[i]; else b1[++tpb1]=q[i]; } else { tmp=T.G(q[i].l,q[i].r); if(tmp =num[mid]&&q[i].opt==1) T.C(q[i].l,q[i].r,-1); bool has1=false,has2=false; for(i=1;i<=tpb1;++i) q[i+ql-1]=b1[i]; for(i=1;i<=tpb2;++i) q[qr-tpb2+i]=b2[i]; solve(l,mid-1,ql,ql+tpb1-1);solve(mid,r,qr-tpb2+1,qr);}int main(){// freopen("testdata.in","r",stdin);// freopen("testdata.out","w",stdout); n=read();m=read(); register int i; for(i=1;i<=m;++i) { q[i].opt=read(),q[i].l=read(),q[i].r=read(),q[i].c=read(); if(q[i].opt==1) num[++tot]=q[i].c; if(q[i].opt==2) q[i].id=++cnt; } std::sort(num+1,num+tot+1); tot=std::unique(num+1,num+tot+1)-num-1; solve(); for(i=1;i<=cnt;++i) printf("%d\n",Ans[i]); return 0;}
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