Nice boat(多校联合1006)

解决复杂数据结构问题的算法竞赛挑战
本文探讨了一个在算法竞赛中遇到的难题,即如何处理数组元素的修改操作,包括将数组区间内的所有元素统一修改为指定值,或者将大于指定值的元素更新为其与指定值的最大公约数。通过实例分析,展示了使用线段树进行高效处理的方法,并提供了实现代码。此挑战涉及数据结构、算法优化和竞赛策略。

Nice boat

Time Limit: 30000/15000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 1    Accepted Submission(s): 0


Problem Description
There is an old country and the king fell in love with a devil. The devil always asks the king to do some crazy things. Although the king used to be wise and beloved by his people. Now he is just like a boy in love and can’t refuse any request from the devil. Also, this devil is looking like a very cute Loli. Let us continue our story, z*p(actually you) defeat the 'MengMengDa' party's leader, and the 'MengMengDa' party dissolved. z*p becomes the most famous guy among the princess's knight party. One day, the people in the party find that z*p has died. As what he has done in the past, people just say 'Oh, what a nice boat' and don't care about why he died. Since then, many people died but no one knows why and everyone is fine about that. Meanwhile, the devil sends her knight to challenge you with Algorithm contest. There is a hard data structure problem in the contest: There are n numbers a_1,a_2,...,a_n on a line, everytime you can change every number in a segment [l,r] into a number x(type 1), or change every number a_i in a segment [l,r] which is bigger than x to gcd(a_i,x) (type 2). You should output the final sequence.
 

Input
The first line contains an integer T, denoting the number of the test cases. For each test case, the first line contains a integers n. The next line contains n integers a_1,a_2,...,a_n separated by a single space. The next line contains an integer Q, denoting the number of the operations. The next Q line contains 4 integers t,l,r,x. t denotes the operation type. T<=2,n,Q<=100000 a_i,x is in the range of int32(C++)
 

Output
For each test case, output a line with n integers separated by a single space representing the final sequence.
 

Sample Input
1 10 16807 282475249 1622650073 984943658 1144108930 470211272 101027544 1457850878 1458777923 2007237709 10 1 3 6 74243042 2 4 8 16531729 1 3 4 1474833169 2 1 8 1131570933 2 7 9 1505795335 2 3 7 101929267 1 4 10 1624379149 2 2 8 2110010672 2 6 7 156091745 1 2 5 937186357
 

Sample Output

16807 937186357 937186357 937186357 937186357 1 1 1624379149 1624379149 1624379149

这个破题挺坑的,RE了N次。简单线段树,挺好写的

AC代码:

#include<iostream>
#include<stdio.h>
#include <algorithm>
using namespace std;
struct Node{
    int left,right;
    int s;             //这里要是long long的话就会RE 
}a[400100];

void built(int cur,int x,int y){
    a[cur].left=x;
    a[cur].right=y;
    a[cur].s=-1;
    if(x==y){
        scanf("%d",&a[cur].s);
        return;
    }
    if(x<y){
        int mid=(x+y)>>1;
        built(cur<<1,x,mid);
        built(cur<<1|1,mid+1,y);
        if(a[cur<<1].s==a[cur<<1|1].s)
            a[cur].s=a[cur<<1].s;
    }
}

void insert1(int cur,int x,int y,int val){
    if(a[cur].left==x && a[cur].right==y){
        a[cur].s=val;
        return;
    }
    if(a[cur].s>=0){
        a[cur<<1].s=a[cur].s;
        a[cur<<1|1].s=a[cur].s;
        a[cur].s=-1;
    }
    int mid=(a[cur].left+a[cur].right)>>1;
    if(y<=mid)
        insert1(cur<<1,x,y,val);
    else if(x>mid)
        insert1(cur<<1|1,x,y,val);
    else{
        insert1(cur<<1,x,mid,val);
        insert1(cur<<1|1,mid+1,y,val);
    }
}
void insert2(int cur,int x,int y,int val){
    if(a[cur].left==x && a[cur].right==y && a[cur].s>=0){
        if(a[cur].s>val){
            a[cur].s=__gcd(a[cur].s,val);
        }
        return ;
    }
    if(a[cur].s>=0){
        a[cur<<1].s=a[cur<<1|1].s=a[cur].s;
        a[cur].s=-1;
    }
    int mid=(a[cur].left+a[cur].right)>>1;
    if(y<=mid)
        insert2(cur<<1,x,y,val);
    else if(x>mid)
        insert2(cur<<1|1,x,y,val);
    else{
        insert2(cur<<1,x,mid,val);
        insert2(cur<<1|1,mid+1,y,val);
    }
}

void output(int cur){
    if(a[cur].s>=0){
        for(int i=a[cur].left;i<=a[cur].right;i++)
            printf("%d ",a[cur].s);
        return ;
    }
    output(cur<<1);
    output(cur<<1|1);
}

int main(){
    int Q,T; scanf("%d",&T);
    while(T--){
        int n; scanf("%d",&n);
        built(1,1,n);
        scanf("%d",&Q);
        while(Q--){
            int t,l,r;
            int x;              //这里要是long long的话就会RE 
            scanf("%d%d%d%d",&t,&l,&r,&x);
            if(t==1){
                insert1(1,l,r,x);
            }
            else{
                insert2(1,l,r,x);
            }
        }
        output(1);
        printf("\n");
    }
    return 0;
}


评论
成就一亿技术人!
拼手气红包6.0元
还能输入1000个字符
 
红包 添加红包
表情包 插入表情
 条评论被折叠 查看
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值