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(线段树)hdoj 3308-LCIS
Given n integers.
You have two operations:
U A B: replace the Ath number by B. (index counting from 0)
Q A B: output the length of the longest consecutive increasing subsequence (LCIS) in a,ba,b.
You have two operations:
U A B: replace the Ath number by B. (index counting from 0)
Q A B: output the length of the longest consecutive increasing subsequence (LCIS) in a,ba,b.
InputT in the first line, indicating the case number.
Each case starts with two integers n , m(0<n,m<=10 5).
The next line has n integers(0<=val<=10 5).
The next m lines each has an operation:
U A B(0<=A,n , 0<=B=10 5)
OR
Q A B(0<=A<=B< n).
OutputFor each Q, output the answer.Sample Input
1 10 10 7 7 3 3 5 9 9 8 1 8 Q 6 6 U 3 4 Q 0 1 Q 0 5 Q 4 7 Q 3 5 Q 0 2 Q 4 6 U 6 10 Q 0 9
Sample Output
1 1 4 2 3 1 2 5
1 #include <iostream> 2 //#include<bits/stdc++.h> 3 #include <stack> 4 #include <queue> 5 #include <map> 6 #include <set> 7 #include <cstdio> 8 #include <cstring> 9 #include <algorithm> 10 #include <math.h> 11 using namespace std; 12 typedef long long ll; 13 typedef unsigned long long ull; 14 const int MAX=1e5+5; 15 struct node 16 { 17 int left,right,mid; 18 int x,y; 19 }st[10*MAX]; 20 void pushup(int l,int r,int k) 21 { 22 st[k].left=st[2*k].left; 23 st[k].right=st[2*k+1].right; 24 st[k].mid=max(st[2*k].mid,st[2*k+1].mid); 25 st[k].x=st[2*k].x; 26 st[k].y=st[2*k+1].y; 27 if(st[2*k].y<st[2*k+1].x) 28 { 29 st[k].mid=max(st[k].mid,st[2*k].right+st[2*k+1].left); 30 if(st[2*k].left==(l+r)/2-l) 31 st[k].left=st[2*k].left+st[2*k+1].left; 32 if(st[2*k+1].right==r-(l+r)/2) 33 st[k].right=st[2*k+1].right+st[2*k].right; 34 } 35 } 36 void init(int l,int r,int k) 37 { 38 st[k].left=st[k].right=st[k].mid=r-l; 39 if(l+1==r) 40 { 41 scanf("%d",&st[k].x); 42 st[k].y=st[k].x; 43 return; 44 } 45 init(l,(l+r)/2,2*k); 46 init((l+r)/2,r,2*k+1); 47 pushup(l,r,k); 48 } 49 void update(int l,int r,int ul,int ur,int val,int k)//当下[l,r), 目标更新[ul,ur) 为val 50 { 51 if(ul==l&&ur==r) 52 { 53 st[k].x=st[k].y=val; 54 return; 55 } 56 int mid=(l+r)/2; 57 if(mid>=ur) 58 update(l,mid,ul,ur,val,2*k); 59 if(mid<=ul) 60 update(mid,r,ul,ur,val,2*k+1); 61 st[k].mid=max(st[2*k].mid,st[2*k+1].mid); 62 st[k].left=st[2*k].left; 63 st[k].right=st[2*k+1].right; 64 st[k].x=st[2*k].x; 65 st[k].y=st[2*k+1].y; 66 if(st[2*k].y<st[2*k+1].x) 67 { 68 st[k].mid=max(st[k].mid,st[2*k].right+st[2*k+1].left); 69 if(st[2*k].left==(l+r)/2-l) 70 st[k].left+=st[2*k+1].left; 71 if(st[2*k+1].right==r-(l+r)/2) 72 st[k].right+=st[2*k].right; 73 } 74 return; 75 } 76 int query(int l,int r,int ql,int qr,int k) 77 { 78 if(l>=ql&&r<=qr) 79 return st[k].mid; 80 int mid=(l+r)/2; 81 if(mid<=ql) 82 return query(mid,r,ql,qr,2*k+1); 83 else if(mid>=qr) 84 return query(l,mid,ql,qr,2*k); 85 else 86 { 87 int an; 88 an=max(query(l,mid,ql,qr,2*k),query(mid,r,ql,qr,2*k+1)); 89 if(st[2*k].y<st[2*k+1].x) 90 an=max(an,min(st[2*k].right,mid-ql)+min(st[2*k+1].left,qr-mid)); 91 return an; 92 } 93 } 94 int t; 95 int N,M; 96 char op[10]; 97 int qq,pp; 98 int main() 99 { 100 scanf("%d",&t); 101 while(t--) 102 { 103 scanf("%d %d",&N,&M); 104 init(1,N+1,1); 105 for(int i=1;i<=M;i++) 106 { 107 scanf("%s %d %d",op,&qq,&pp); 108 qq++; 109 if(op[0]==‘U‘) 110 { 111 update(1,N+1,qq,qq+1,pp,1); 112 } 113 else 114 { 115 pp++; 116 printf("%d\n",query(1,N+1,qq,pp+1,1)); 117 } 118 } 119 } 120 }
(线段树)hdoj 3308-LCIS
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