HDU 1.3.5 Wooden Sticks
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Problem Description
There is a pile of n wooden sticks. The length and weight of each stick are known in advance. The sticks are to be processed by a woodworking machine in one by one fashion. It needs some time, called setup time, for the machine to prepare processing a stick. The setup times are associated with cleaning operations and changing tools and shapes in the machine. The setup times of the woodworking machine are given as follows:
(a) The setup time for the first wooden stick is 1 minute.
(b) Right after processing a stick of length l and weight w , the machine will need no setup time for a stick of length l' and weight w' if l<=l' and w<=w'. Otherwise, it will need 1 minute for setup.
You are to find the minimum setup time to process a given pile of n wooden sticks. For example, if you have five sticks whose pairs of length and weight are (4,9), (5,2), (2,1), (3,5), and (1,4), then the minimum setup time should be 2 minutes since there is a sequence of pairs (1,4), (3,5), (4,9), (2,1), (5,2).
(a) The setup time for the first wooden stick is 1 minute.
(b) Right after processing a stick of length l and weight w , the machine will need no setup time for a stick of length l' and weight w' if l<=l' and w<=w'. Otherwise, it will need 1 minute for setup.
You are to find the minimum setup time to process a given pile of n wooden sticks. For example, if you have five sticks whose pairs of length and weight are (4,9), (5,2), (2,1), (3,5), and (1,4), then the minimum setup time should be 2 minutes since there is a sequence of pairs (1,4), (3,5), (4,9), (2,1), (5,2).
Input
The input consists of T test cases. The number of test cases (T) is given in the first line of the input file. Each test case consists of two lines: The first line has an integer n , 1<=n<=5000, that represents the number of wooden sticks in the test case, and the second line contains n 2 positive integers l1, w1, l2, w2, ..., ln, wn, each of magnitude at most 10000 , where li and wi are the length and weight of the i th wooden stick, respectively. The 2n integers are delimited by one or more spaces.
Output
The output should contain the minimum setup time in minutes, one per line.
Sample Input
3 5 4 9 5 2 2 1 3 5 1 4 3 2 2 1 1 2 2 3 1 3 2 2 3 1
Sample Output
213
Source
Asia 2001, Taejon (South Korea)
【思路】
把wooden stick按length排序。
不断循环(很多个for,嵌套在while里面),若下一个stick的length和weight都大于等于前一个处理的stick,那么删掉这个stick。
每一次循环开始时都增加1 min的 preprocess time.
#include<stdio.h> #include"algorithm" using namespace std; struct stick{ int length; int weight; bool deleted = false; }; int cmp(const stick &a, const stick &b) { return a.length < b.length; } int larger(const stick &a, const int l,const int w) { return a.length >= l&&a.weight >=w; } stick st[5000]; int main() { freopen("f://in.txt", "r", stdin); freopen("f://out.txt", "w", stdout); int testCase; scanf("%d", &testCase); while (testCase--) { memset(st, 0, sizeof(st)); int stickNum; scanf("%d", &stickNum); for (int i = 0; i < stickNum; i++) scanf("%d%d", &st[i].length, &st[i].weight); sort(st, st + stickNum, cmp); int minTime = 0; int leftAmount = stickNum; while (leftAmount) { minTime++; int lastLength = -1, lastWeight = -1; for (int i = 0; i < stickNum ; i++) if (st[i].deleted == false&&larger(st[i], lastLength, lastWeight)) { st[i].deleted = true; lastLength = st[i].length; lastWeight = st[i].weight; leftAmount--; } } printf("%d\n", minTime); } return 0; }
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