HDU 1009 FatMouse' Trade
阿新 • • 發佈:2018-09-25
con acm while house pid HERE bottom mes break
The warehouse has N rooms. The i-th room contains J[i] pounds of JavaBeans and requires F[i] pounds of cat food. FatMouse does not have to trade for all the JavaBeans in the room, instead, he may get J[i]* a% pounds of JavaBeans if he pays F[i]* a% pounds of cat food. Here a is a real number. Now he is assigning this homework to you: tell him the maximum amount of JavaBeans he can obtain. Input The input consists of multiple test cases. Each test case begins with a line containing two non-negative integers M and N. Then N lines follow, each contains two non-negative integers J[i] and F[i] respectively. The last test case is followed by two -1‘s. All integers are not greater than 1000. Output For each test case, print in a single line a real number accurate up to 3 decimal places, which is the maximum amount of JavaBeans that FatMouse can obtain. Sample Input 5 3 7 2 4 3 5 2 20 3 25 18 24 15 15 10 -1 -1 Sample Output 13.333 31.500 題解:貪心 從 $J[i] / F[i]$ 最大的開始選 時間復雜度:$O(N * logN)$ 代碼:
http://acm.hdu.edu.cn/showproblem.php?pid=1009
Problem Description FatMouse prepared M pounds of cat food, ready to trade with the cats guarding the warehouse containing his favorite food, JavaBean.
The warehouse has N rooms. The i-th room contains J[i] pounds of JavaBeans and requires F[i] pounds of cat food. FatMouse does not have to trade for all the JavaBeans in the room, instead, he may get J[i]* a% pounds of JavaBeans if he pays F[i]* a% pounds of cat food. Here a is a real number. Now he is assigning this homework to you: tell him the maximum amount of JavaBeans he can obtain. Input The input consists of multiple test cases. Each test case begins with a line containing two non-negative integers M and N. Then N lines follow, each contains two non-negative integers J[i] and F[i] respectively. The last test case is followed by two -1‘s. All integers are not greater than 1000. Output For each test case, print in a single line a real number accurate up to 3 decimal places, which is the maximum amount of JavaBeans that FatMouse can obtain. Sample Input 5 3 7 2 4 3 5 2 20 3 25 18 24 15 15 10 -1 -1 Sample Output 13.333 31.500 題解:貪心 從 $J[i] / F[i]$ 最大的開始選 時間復雜度:$O(N * logN)$ 代碼:
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 10; int N, M; struct Node{ double j; double f; double pri; }node[maxn]; bool cmp(const Node& a, const Node& b) { return a.pri > b.pri; } int main() { while(~scanf("%d%d", &M, &N)) { if(N == -1 && M == -1) break; for(int i = 1; i <= N; i ++) { scanf("%lf%lf", &node[i].j, &node[i].f); node[i].pri = node[i].j / node[i].f; } double num = 0.0; sort(node + 1, node + 1 + N, cmp); for(int i = 1; i <= N; i ++) { if(M >= node[i].f) { num += node[i].j; M -= node[i].f; } else { num += M * node[i].j / node[i].f; break; } } printf("%.3lf\n", num); } return 0; }
HDU 1009 FatMouse' Trade