poj1018computing system

用的暴搜,枚举每一个可能的带宽,维护一个最大的b/p,即答案;

google了下,还有其他思想,

对带宽排序:离散化思想,

枚举从最小带宽(每一行的最小值中的最小值)到最大带宽(每一行的最大值中的最小值)之间的值:贪心思想

b/p是一个关于b的单峰函数:3分思想。(用这个在加上二分查找和快排优化的话应该可以0msAC,以后回过头再重做吧,先留着,太菜了。)


我的AC代码:

# include <stdlib.h>
# include <string.h>
# include <string>
# include <stdio.h>

struct device {
	int b;
	int p;
};

device d[110][110];
int sum;

int cmp(const void *x, const void *y) {
	return ((device*)(x))->b - ((device*)(y))->b;
}

int go(int m) {
	for (int i = 0; i < m; ++ i) {
		qsort (d[i] + 1, d[i][0].b, sizeof(device), cmp);
		#ifdef DEBUG
		for (int j = 1; j <= d[i][0].b; ++ j) {
			printf ("%d-%d ", d[i][j].b, d[i][j].p);
		}
		printf ("\n");
		#endif
	}
	double ans = 0;
	int up = 0;
	int down = 0;
	for (int i = 0; i < m; ++ i) {
		for (int j = 1; j <= d[i][0].b; ++ j) {
			up = d[i][j].b;
			down = d[i][j].p;
			for (int x = 0; x < m; ++ x) {
				if (x == i) continue;
				int min = 99999999;
				for (int y = 1; y <= d[x][0].b; ++ y) {
					if (d[x][y].b < up) continue;
					if (d[x][y].p < min) {
						min = d[x][y].p;
					}
				}
				down += min;
			}
			double tmp = (double)up / down;
#ifdef DEBUG
			printf ("%.3lf\n", tmp);
#endif
			ans = ans > tmp ? ans : tmp; 
		}
	}
	printf ("%.3lf\n", ans);
	return 0;
}


int main () {
	int n,m;
	scanf ("%d", &n);
	while (n -- ) {
		scanf ("%d", &m);
		for (int i = 0; i < m; ++ i) {
			int t;
			scanf ("%d", &t);
			d[i][0].p = d[i][0].b = t;
			for (int j = 1; j <= t; ++ j) {
				scanf ("%d %d", &(d[i][j].b), &(d[i][j].p));
			}
		}
		go(m);
	}
	return 0;
}




大神的3分代码:

#include <iostream>
#include <algorithm>
#include <cmath>
using namespace std;

int n;
int t;
int len[111];
int b[111][111];
int p[111][111];
int a[222222];
int m;

double calc(int x)
{
	double sum(0);
	for (int i=1; i<=n; i++)
	{
		int xiao = 2147483647;
		for (int j=1; j<=len[i]; j++)
			if (b[i][j] >= x) xiao = min(xiao, p[i][j]);
		sum += xiao;
	}
	return x / sum;
}
int main(void)
{
	int i,j,k,ci,cici,cicici;

	for (scanf("%d", &t); t; t--)
	{
		scanf("%d", &n);
		for (i=1; i<=n; i++)
		{
			scanf("%d", &len[i]);
			for (j=1; j<=len[i]; j++)
			{
				scanf("%d%d", &b[i][j], &p[i][j]);
				a[++m] = b[i][j];
			}			
		}

		sort(a+1, a+1+m);

		int left = 1, right = m, mid1, mid2;
		double f1, f2;
		while(left + 1 < right)
		{
			mid1 = (left + right) / 2;
			mid2 = (mid1 + right) / 2;
			f1 = calc(a[mid1]);
			f2 = calc(a[mid2]);
			if (f1 < f2) left = mid1;
			else right = mid2;
		}
		printf("%.3lf\n", max(calc(a[left]), calc(a[right])));
	}
	return 0;
}


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