hdu5323(2015多校3)--Solve this interesting problem(万万没想到,,,)

题目链接:点击打开链接

题目大意:给出一个区间[l,r],问这个区间能不能是一个线段树上的一段,线段树为0到n,求最小的n是多少。

按照题目给出的区间向根部搜,由子区间推到父区间,有四种可能(左右区间和(l+r)的奇偶性):

[ l , 2*r-l ]

[ l , 2*r+1-l ]

[ (l-1)*2-r , r ]

[ (l-1)*2+1-r , r ]

按照这四种方式向上搜,加上剪枝就可以AC

原因是l/(r-l+1) <= 2015,那么每向上搜一次,下面的区间和会增加两倍,l/区间和也就会减少一半,一直到l/区间和小于1后,那么也就是不会再存在可能了,最多会搜22次,,

注意:剪枝的时候当前值>= n 就return,如果写>n会超时,,,,,sad

#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std ;
#define LL __int64
LL n ;
void dfs(LL l,LL r) {
    if( l == 0 ) {
        if( n == -1 ) n = r ;
        else n = min(n,r) ;
    }
    if( n != -1 && r >= n ) return ;
    if( l < 0 ) return ;
    if( r-l+1 > (l-1)*2 ) return ;
    dfs((l-1)*2-r,r) ;
    dfs((l-1)*2+1-r,r) ;
    dfs(l,r*2-l) ;
    dfs(l,r*2+1-l) ;
}
int main() {
    LL l , r ;
    while( scanf("%I64d %I64d", &l, &r) != EOF ) {
        n = -1 ;
        dfs(l,r) ;
        printf("%I64d\n", n) ;
    }
    return 0 ;
}

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时间: 2024-08-28 11:22:39

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