HDU
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Can you find it?
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 3
1 2 3
1 2 3
1 2 3
3
1
4
10
Sample Output
Case 1:
NO
YES
NO
题目大意:在A、B、C三个数组中各选出一个数,看能否使得三个数之和为给定的数。只需讲其中两个数组中任意两个元素相加得到一个新的数组,再与剩下的数组中每一个元素进行二分即可
#include <iostream>#include <cstdio>#include <algorithm>using namespace std;const int maxn = 510;int a[maxn], b[maxn], c[maxn], d[maxn*maxn];int cnt;int bs(int x){ int hi; int lo; int mid; lo = 0; hi = cnt-1; while(hi>=lo) { mid = (lo+hi) >> 1; if(d[mid]<x) lo = mid + 1; else if(d[mid]>x) hi = mid - 1; else return 1; } return 0;}int main(){ int l, m, n, k, s; int flag = 1; while(cin >> l >> m >> n) { for(int i = 0; i < l; i++) { cin >> a[i]; } for(int i = 0; i < m; i++) { cin >> b[i]; } for(int i = 0; i < n; i++) { cin >> c[i]; } cnt = 0; for(int i = 0; i < m; i++) { for(int j = 0; j < n; j++) { d[cnt++] = b[i] + c[j]; } } sort(d, d+cnt); sort(a, a+l); cin >> s; printf("Case %d:\n", flag++); int sum; while(s--) { cin >> sum; int ok = 0; /*if(a[0]+d[0]>sum || a[l-1]+d[cnt-1]<sum) { cout << "NO" << endl; continue; }*/ //这段优化代码加进去就错了。。我也不知道为什么,有人如果能看出来原因请告诉我 for(int j = 0; j < l; j++) { if(bs(sum-a[j])) { ok = 1; break; } } if(ok) cout << "YES" << endl; else cout << "NO" << endl; } } return 0;}
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