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  • Sequence operation(线段树区间多种操作)

    Sequence operation

    Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 7452    Accepted Submission(s): 2220

    Problem Description
    lxhgww got a sequence contains n characters which are all '0's or '1's. We have five operations here: Change operations: 0 a b change all characters into '0's in [a , b] 1 a b change all characters into '1's in [a , b] 2 a b change all '0's into '1's and change all '1's into '0's in [a, b] Output operations: 3 a b output the number of '1's in [a, b] 4 a b output the length of the longest continuous '1' string in [a , b]
     
    Input
    T(T<=10) in the first line is the case number. Each case has two integers in the first line: n and m (1 <= n , m <= 100000). The next line contains n characters, '0' or '1' separated by spaces. Then m lines are the operations: op a b: 0 <= op <= 4 , 0 <= a <= b < n.
     
    Output
    For each output operation , output the result.
     
    Sample Input
    1 10 10 0 0 0 1 1 0 1 0 1 1 1 0 2 3 0 5 2 2 2 4 0 4 0 3 6 2 3 7 4 2 8 1 0 5 0 5 6 3 3 9
     
    Sample Output
    5 2 6 5
     

    题解:测试数据对了但是一直re。。。。先贴着吧。。。

    0,1,2,代表操作,0代表将区间内全部变为0,1代表区间内全部变为1,2代表区间内0,1取反

    3,4代表查询,3代表查询区间内1的总数,4代表查询区间内最长连续1的个数

    re代码:

    #include<iostream>
    #include<cstdio>
    #include<cstring>
    #include<algorithm>
    #include<cmath>
    #include<vector>
    using namespace std;
    const int INF=0x3f3f3f3f;
    #define mem(x,y) memset(x,y,sizeof(x))
    #define SI(x) scanf("%d",&x)
    #define PI(x) printf("%d",x)
    #define SD(x,y) scanf("%lf%lf",&x,&y)
    #define P_ printf(" ")
    #define ll root<<1
    #define rr root<<1|1
    #define lson ll,l,mid
    #define rson rr,mid+1,r
    typedef long long LL;
    const int MAXN=200010;
    struct Node{
        int len,n0,ln0,rn0,sum,v,lazy,x_or;
        int n1,ln1,rn1;
        Node init(){
            SI(v);
            n0=ln0=rn0=(v==0);
            n1=ln1=rn1=(v==1);
            sum=v;
        }
    }; 
    Node tree[MAXN<<1];
    void XOR(int root,int v){
        swap(tree[root].n0,tree[root].n1);
        swap(tree[root].ln0,tree[root].ln1);
        swap(tree[root].rn0,tree[root].rn1);
        tree[root].sum=v-tree[root].sum;
        if(tree[root].lazy!=-1)tree[root].lazy^=1;
        //printf("%d %d %d %d %d %d
    ",tree[root].n0,tree[root].ln0,tree[root].rn0,tree[root].n1,tree[root].ln1,tree[root].rn1);
    }
    void pushup(int root){
        tree[root].sum=tree[ll].sum+tree[rr].sum;
        tree[root].ln0=tree[ll].ln0;
        tree[root].rn0=tree[rr].rn0;
        if(tree[ll].ln0==tree[ll].len)tree[root].ln0+=tree[rr].ln0;
        if(tree[rr].rn0==tree[rr].len)tree[root].rn0+=tree[ll].rn0;
        tree[root].n0=max(max(tree[root].ln0,tree[root].rn0),tree[ll].rn0+tree[rr].ln0);
        
        tree[root].ln1=tree[ll].ln1;
        tree[root].rn1=tree[rr].rn1;
        if(tree[ll].ln1==tree[ll].len)tree[root].ln1+=tree[rr].ln1;
        if(tree[rr].rn1==tree[rr].len)tree[root].rn1+=tree[ll].rn1;
        tree[root].n1=max(max(tree[root].ln1,tree[root].rn1),tree[ll].rn1+tree[rr].ln1);
        
    }
    void pushdown(int root,int v){
        if(tree[root].lazy!=-1){
            tree[ll].lazy=tree[rr].lazy=tree[root].lazy;
            tree[ll].ln0=tree[ll].n0=tree[ll].rn0=tree[root].lazy?0:tree[ll].len;
            tree[rr].ln0=tree[rr].n0=tree[rr].rn0=tree[root].lazy?0:tree[rr].len;
            tree[rr].ln1=tree[rr].n1=tree[rr].rn1=tree[root].lazy?tree[rr].len:0;
            tree[ll].ln1=tree[ll].n1=tree[ll].rn1=tree[root].lazy?tree[ll].len:0;
            tree[ll].sum=tree[root].lazy?tree[ll].len:0;
            tree[rr].sum=tree[root].lazy?tree[rr].len:0;
            /*
            tree[root].sum=v;
            tree[root].ln0=tree[root].rn0=tree[root].lazy?0:tree[root].len;
            tree[root].ln1=tree[root].rn1=tree[root].lazy?tree[root].len:0;
            */
            tree[ll].x_or=tree[rr].x_or=0;
            tree[root].lazy=-1;
        }
        if(tree[root].x_or){
            tree[ll].x_or^=1;
            tree[rr].x_or^=1;
            XOR(ll,tree[ll].len);
            XOR(rr,tree[rr].len);
            tree[root].x_or=0;
        }
    }
    void build(int root,int l,int r){
        tree[root].len=r-l+1;
        tree[root].lazy=-1;
        tree[root].x_or=0;
        if(l==r){
            tree[root].init();return;
        }
        int mid=(l+r)>>1;
        build(lson);build(rson);
        pushup(root);
    }
    void update(int root,int l,int r,int A,int B,int c){
        int mid=(l+r)>>1;
        pushdown(root,tree[root].len);
        if(l>=A&&r<=B){
            //printf("c=%d
    ",c);
            if(c<2){
                tree[root].lazy=c;
                tree[root].sum=tree[root].lazy?tree[root].len:0;
            tree[root].n0=tree[root].ln0=tree[root].rn0=tree[root].lazy?0:tree[root].len;
            tree[root].n1=tree[root].ln1=tree[root].rn1=tree[root].lazy?tree[root].len:0;
            }
            else{
                 tree[root].x_or=1;
                XOR(root,tree[root].len);
            }
            return;
        }
        pushdown(root,r-l+1);
        if(mid>=A)update(lson,A,B,c);
        if(mid<B)update(rson,A,B,c);
        pushup(root);
    }
    int query(int root,int l,int r,int A,int B,int c){
        if(l>=A&&r<=B){
        //    printf("%d %d
    ",tree[root].sum,tree[root].n1);
            if(c==3)return tree[root].sum;
            else return tree[root].n1;
        }
        pushdown(root,r-l+1);
        int mid=(l+r)>>1;
        if(mid>=B)return query(lson,A,B,c);
        else if(mid<A)return query(rson,A,B,c);
        else{
            int ans1=query(lson,A,mid,c);
            int ans2=query(rson,mid+1,B,c);
            if(c==3)return ans1+ans2;
            else return max(max(ans1,ans2),min(mid-A+1,tree[ll].rn1)+min(B-mid,tree[rr].ln1));
        }
    }
    int main(){
        int T,N,M;
        SI(T);
        while(T--){
            SI(N);SI(M);
            build(1,0,N-1);
        while(M--){
                int p,a,b;
            scanf("%d%d%d",&p,&a,&b);
            if(p<=2)update(1,0,N-1,a,b,p);
            else{
                printf("%d
    ",query(1,0,N-1,a,b,p));
            }
            }
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/handsomecui/p/5203078.html
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