NYOJ 71 乘船问题【贪心】

时间复杂度O(n)

有n个人，第i个人的重量为w[i]，每艘船的最大载重量均为c，且最多只能乘两个人。用最少的船装载所有人。

思路：从最轻的开始考虑，让最轻的和最重的一条船，若超出重量则可判定最重的只能一人一条船

#include<cstdio>
#include<string>
#include<cstdlib>
#include<cmath>
#include<iostream>
#include<cstring>
#include<set>
#include<queue>
#include<algorithm>
#include<vector>
#include<map>
#include<cctype>
#include<stack>
#include<sstream>
#include<list>
#include<assert.h>
#include<bitset>
#include<numeric>
#define debug() puts("++++")
#define gcd(a,b) __gcd(a,b)
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
#define fi first
#define se second
#define pb push_back
#define sqr(x) ((x)*(x))
#define ms(a,b) memset(a,b,sizeof(a))
#define sz size()
#define be begin()
#define pu push_up
#define pd push_down
#define cl clear()
#define lowbit(x) -x&x
#define all 1,n,1
#define rep(i,n,x) for(int i=(x); i<(n); i++)
#define in freopen("in.in","r",stdin)
#define out freopen("out.out","w",stdout)
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;
typedef pair<int,int> P;
const int INF = 0x3f3f3f3f;
const LL LNF = 1e18;
const int maxn = 1e3 + 20;
const int maxm = 1e6 + 10;
const double PI = acos(-1.0);
const double eps = 1e-8;
const int dx[] = {-1,1,0,0,1,1,-1,-1};
const int dy[] = {0,0,1,-1,1,-1,1,-1};
const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
int n,m;
int a[maxn];
int main()
{
    int t;
    cin>>t;
    while(t--){
        memset(a,0,sizeof(a));
    int w,cnt=0;
    cin >> w >> n; //人数、载重量
    for(int i=0; i<n; i++) cin>>a[i];
    sort(a,a+n);
    int i=0,j=n-1;
    while(i<=j)
    {
        if(a[i]+a[j]>w){
            cnt++;
            j--;
        }
        else{
            cnt++;
            i++;
            j--;
        }
    }
    cout << cnt << endl;
    }
}