UVA - 10125 Sumsets(二分查找)
2014-08-31 19:10
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Problem C - Sumsets
Given S, a set of integers, find the largest d such that a + b + c = d where a, b, c, and d are distinct elements of S.Input
Several S, each consisting of a line containing an integer 1 <= n <= 1000 indicating the number of elements in S, followed by the elements of S, one per line. Eachelement of S is a distinct integer between -536870912 and +536870911 inclusive. The last line of input contains 0.
Output
For each S, a single line containing d, or a single line containing "no solution".Sample Input
5 2 3 5 7 12 5 2 16 64 256 1024 0
Output for Sample Input
12 no solution
题目大意:在一个集合中求出最大的d,d=a+b+c,a,b,c,d属于这个集合。
解析:这题可以把 a+b+c=d,转换为 a+b = d-c,这样就可以减少循环的次数。其中d和c用for来遍历,a+b用二分来查找出相应的值。
#include<stdio.h> #include<string.h> #include<algorithm> using namespace std; const int N = 1005; int n; int num ; void solve() { int t; for(int d = n-1; d >= 0; d--) { for(int c = n-1; c >= 0; c--) { if(c == d) { continue; } t = num[d] - num[c]; int a = 0, b = c-1; while(a < b) { if(num[a] + num[b] == t) { printf("%d\n",num[d]); return ; }else if(num[a] + num[b] < t) { a++; }else { b--; } } } } printf("no solution\n"); } int main() { while(scanf("%d",&n) != EOF && n) { for(int i = 0; i < n; i++) { scanf("%d",&num[i]); } sort(num,num+n); solve(); } return 0; }
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