hdu2141 (二分)
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Problem Description
Give you three sequences of numbers A, B, C, then we give you a number X. Now you need to calculate if you can find the three numbers Ai, Bj, Ck, which satisfy the formula Ai+Bj+Ck = X.
Input
There are many cases. Every data case is described as followed: In the first line there are three integers L, N, M, in the second line there are L integers represent the sequence A, in the third line there are N integers represent the sequences B, in the forth line there are M integers represent the sequence C. In the fifth line there is an integer S represents there are S integers X to be calculated. 1<=L, N, M<=500, 1<=S<=1000. all the integers are 32-integers.
Output
For each case, firstly you have to print the case number as the form "Case d:", then for the S queries, you calculate if the formula can be satisfied or not. If satisfied, you print "YES", otherwise print "NO".
Sample Input
3 3 31 2 31 2 31 2 331410
Sample Output
Case 1:NOYESNO
Author
wangye
Source
HDU 2007-11 Programming Contest
题意:分别有a,b,c三个数组,给出一个数,看这个数能不能再a,b,c,里面分别找出一个数求和得到
思路:如果暴力的话肯定会超时; 我们可以将三个数组规划成两个数组,其中一个数组是两个数组的和,并且排序去重。对于每个给出的数,我们依次枚举,然后二分搜索出是否有结果。
代码:
#include<cstdio>#include<cstring>#include<algorithm>#include<cmath>using namespace std;const int N=505;int len;int a[N],b[N],c[N],d[N*N];int find(int x){ int l=0,r=len-1; while(l<r) { int temp=(l+r)/2; if(d[temp]<x) l=temp+1; else r=temp; } if(x==d[l]) return 1; else return 0;}int main(){ int l,n,m,t=1; while(~scanf("%d%d%d",&l,&n,&m)) { for(int i=0;i<l;i++) scanf("%d",&a[i]); sort(a,a+l); for(int i=0;i<n;i++) scanf("%d",&b[i]); for(int i=0;i<m;i++) scanf("%d",&c[i]); int s; scanf("%d",&s); printf("Case %d:\n",t++); len=0; for(int i=0;i<n;i++) for(int j=0;j<m;j++) d[len++]=b[i]+c[j]; sort(d,d+len); len=unique(d,d+len)-d; for(int i=1;i<=s;i++) { int x,flag=0; scanf("%d",&x); for(int j=0;j<l;j++) { int y=x-a[j]; if(find(y)) { flag=1; printf("YES\n"); break; } } if(!flag) printf("NO\n"); } }}
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