CodeForces 589B Layer Cake (暴力)

题意:给定 n 个矩形是a*b的,问你把每一块都分成一样的,然后全放一块,高度都是1,体积最大是多少。

析:这个题,当时并没有完全读懂题意,而且也不怎么会做,没想到就是一个暴力,先排序,先从大的开始选,如果大,那么数量少,如果小,数量就多,

用一个multiset来排序,这样时间复杂度会低一点,每一个都算一下比它的大矩阵的数量,然后算体积,不断更新,最大值。

代码如下:

#pragma comment(linker, "/STACK:1024000000,1024000000")
#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>
using namespace std ;

typedef long long LL;
typedef pair<int, int> P;
const int INF = 0x3f3f3f3f;
const double inf = 0x3f3f3f3f3f3f;
const double PI = acos(-1.0);
const double eps = 1e-8;
const int maxn = 4e3 + 5;
const int mod = 1e9 + 7;
const int dr[] = {-1, 0, 1, 0};
const int dc[] = {0, 1, 0, -1};
int n, m;
inline bool is_in(int r, int c){
    return r >= 0 && r < n && c >= 0 && c < m;
}
struct node{
    int x, y;
    bool operator < (const node &p) const{
        return x > p.x || (x == p.x && y < p.y);
    }
};
node a[maxn];
multiset<int> sets;

int main(){
    while(scanf("%d", &n) == 1){
        for(int i = 0; i < n; ++i){
            scanf("%d %d", &a[i].x, &a[i].y);
            if(a[i].x < a[i].y)  swap(a[i].x, a[i].y);
        }
        sort(a, a+n);
        sets.clear();
        int num = 0, ansx, ansy;
        LL ans = 0;
        for(int i = 0; i < n; ++i){
            sets.insert(a[i].y);
            ++num;
            int cnt = 0;
            for(auto &it : sets){
                LL tmp = (LL)a[i].x * (LL)it * (LL)(num-cnt);
                if(ans < tmp){
                    ans = tmp;
                    ansx = a[i].x;
                    ansy = it;
                }
                ++cnt;
            }
        }

        printf("%I64d
", ans);
        printf("%d %d
", ansx, ansy);

    }
    return 0;
}