码迷,mamicode.com
首页 > 其他好文 > 详细

【POJ】3368-Frequent values(RMQ或线段树)

时间:2014-09-22 20:35:53      阅读:127      评论:0      收藏:0      [点我收藏+]

标签:style   io   os   ar   for   sp   问题   on   c   

RMQ和线段树都能过,而且时间都500MS左右。

这道题主要还是思路的问题,特殊处理l,r所在的区间,中间的区间就用线段树区间求最值解决,想上去了代码很好实现。

RMQ代码:

#include<set>
#include<map>
#include<string>
#include<vector>
#include<stack>
#include<queue>
#include<cmath>
#include<algorithm>
#include<cstdio>
#include<cstring>
#include<iostream>
using namespace std;
#define _PI acos(-1.0)
typedef long long LL;
typedef pair<int,int> pill;
/*==========================*/
#define MAXD 111111
int NumberR[MAXD],NumberL[MAXD];
int arr[MAXD];
int   d[MAXD][20];
int n , m;
void RMQinit(){
    for(int i = 1 ; i <= n ; i++)
        d[i][0] = NumberL[i] + NumberR[i] - 1;
    for(int j = 1 ; (1 << j) <= n ; j++)
        for(int i = 1 ; i + (1 << j) - 1 <= n ; i ++)
            d[i][j] = max(d[i][j - 1],d[i + (1 << (j - 1))][j - 1]);
}
int solve(int l,int r){
    int x = min(NumberR[l],r - l + 1);
    int y = min(NumberL[r],r - l + 1);
    l += x;
    r -= y;
    if(r < l) return max(x,y);
    int k = 0;
    while((1 << (k + 1)) <= r - l + 1) k ++;
    return max(max(x,y),max(d[l][k],d[r - (1 << k) + 1][k]));
}
int main(){
    while(scanf("%d",&n) && n){
        scanf("%d",&m);
        for(int i = 1 ; i <= n ; i++){
            scanf("%d",&arr[i]);
            NumberL[i] = 1;
            NumberR[i] = 1;
        }
        for(int i = 2 ; i <= n ; i++)
            if(arr[i] == arr[i - 1])
                NumberL[i] += NumberL[i - 1];
        for(int i = n - 1 ; i >= 1 ; i --)
            if(arr[i] == arr[i + 1])
                NumberR[i] += NumberR[i + 1];
        RMQinit();
        int x,y;
        for(int i = 0 ; i < m ; i++){
            scanf("%d%d",&x,&y);
            int ans = solve(x,y);
            printf("%d\n",ans);
        }
    }
    return 0;
}

线段树代码:

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<vector>
#include<queue>
#include<map>
using namespace std;
typedef long long LL;
const int maxn = 111111;
int tr[maxn << 2];
int NumberL[maxn],NumberR[maxn];
int arr[maxn];
int n,cur;
void BuildTree(int L,int R,int pos){
    if(L == R){
        tr[pos] = NumberL[cur] + NumberR[cur] - 1;
        cur ++;
        return ;
    }
    int m = (L + R) >> 1;
    BuildTree(L,m,pos << 1);
    BuildTree(m + 1,R ,pos << 1|1);
    tr[pos] = max(tr[pos << 1],tr[pos << 1|1]);
    return ;
}
int Query(int l,int r,int L,int R,int pos){ //求 l , r的最大值
    if(l <= L && R <= r)
        return tr[pos];
    int m = (L + R) >> 1;
    int ans = 0;
    if(l <= m)
        ans = max(ans,Query(l,r,L,m,pos << 1));
    if(r > m)
        ans = max(ans,Query(l,r,m + 1,R,pos << 1|1));
    return ans;
}
int solve(int l,int r){
    int x = min(NumberR[l], r - l + 1);
    int y = min(NumberL[r], r - l + 1);
    l += x;
    r -= y;
    if(r < l)
        return max(x,y);
    int k = Query(l,r,1,n,1);
    //printf("%d %d %d\n",l,r,k);
    return max(max(x,y),max(x,k));
}
int main(){
    while(scanf("%d",&n) && n){
        int m;
        scanf("%d",&m);
        for(int i = 1; i <= n ; i++){
            scanf("%d",&arr[i]);
            NumberL[i] = 1; NumberR[i] = 1;
        }
        for(int i = 2 ; i <= n ; i ++)
            if(arr[i] == arr[i - 1])
                NumberL[i] += NumberL[i - 1];
        for(int i = n - 1 ; i >= 1 ; i--)
            if(arr[i] == arr[i + 1])
                NumberR[i] += NumberR[i + 1];
        cur = 1;
        BuildTree(1,n,1);
        for(int i = 0 ; i < m ; i ++){
            int x , y;
            scanf("%d%d",&x,&y);
            int ans = solve(x,y);
            printf("%d\n",ans);
        }
    }
    return 0;
}

【POJ】3368-Frequent values(RMQ或线段树)

标签:style   io   os   ar   for   sp   问题   on   c   

原文地址:http://blog.csdn.net/u013451221/article/details/39480659

(0)
(0)
   
举报
评论 一句话评论(0
登录后才能评论!
© 2014 mamicode.com 版权所有  联系我们:gaon5@hotmail.com
迷上了代码!