POJ 3663 Costume Party （二分查找）

标签：二分查找

It‘s Halloween! Farmer John is taking the cows to a costume party, but unfortunately he only has one costume. The costume fits precisely two cows with a length of S (1 ≤ S ≤ 1,000,000). FJ has N cows (2 ≤ N ≤ 20,000) conveniently numbered 1..N; cow i has length Li (1 ≤ Li ≤ 1,000,000). Two cows can fit into the costume if the sum of their lengths is no greater than the length of the costume. FJ wants to know how many pairs of two distinct cows will fit into the costume.

4

解析：

问题：求n个数字中，有多少组两个数字之和<=s。

先将数字排序，然后二分查找最后一个<=s的位置k。然后从2-k进行枚举，对应每个i再二分查找最后一个<=s-value[i]的位置p。基于排序，使得<=p的位置的数字与value[i]的和也满足<=s，再answer上累加p。统计answer。n<=20000，时间复杂度O(nlogn)。

代码：

#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <set>
#include <climits>
#include <cmath>
#include <algorithm>
#define MAXN 10010
#define RST(N)memset(N, 0, sizeof(N))
using namespace std;

int a[MAXN];

int Bin_Search(const int *a, int low, int high, const int &key)
{
    int mid = (low + high + 1) >> 1;
    while(low < high) {
        if (a[mid] <= key) {
            low = mid;
            mid = (low + high + 1) >> 1;
        } else {
            high = mid - 1;
            mid = (low + high + 1) >> 1;
        }
    }
    return mid;
}

int cmp(const void *a, const void *b)
{
    return *(int *)a - *(int *)b;
}

int main()
{
    int n, s, k, p, ans;
    while(~scanf("%d%d", &n, &s)) {
        for(int i=0; i<n; i++) scanf("%d", &a[i]);
        qsort(a, n, sizeof(int), cmp);
        ans = 0;
        k = Bin_Search(a, 0, n-1, s);
        for(int i=1; i<=k; i++) {
            p = Bin_Search(a, 0, i-1, s-a[i]);
            if(p != -1) ans += p+1;
        }
        printf("%d\n", ans);
    }
    return 0;
}

POJ 3663 Costume Party （二分查找）

标签：二分查找

原文地址：http://blog.csdn.net/keshacookie/article/details/44965623