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Wooden Sticks
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Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 23527 Accepted Submission(s): 9551
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
2 1 3
题意:将一堆木棍进行加工,如果后一个木棍比前一个的长度重量都小则不需要改动,否则将花费一分钟时间改动。最后输出总时间。
思路:可使用sort将木棍按长度从大到小排序,长度相等时按重量从大到小排。然后从第一个开始按照重量进行判断,循环求出结果。(在循环时,长度一定减小,所以只需关注重量)
#include<stdio.h> #include<algorithm> using namespace std; struct woodn { int l; int w; bool flag; }wood[5005]; bool comp(struct woodn a,struct woodn b) { if (a.l != b.l) { return a.l > b.l; } else { return a.w > b.w; } } int main() { int T, n; scanf("%d", &T); while (T--) { int min_w=0; scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d %d", &wood[i].l, &wood[i].w); wood[i].flag = false; } sort(wood, wood + n, comp); int num = 0; for (int i = 0; i < n; i++) { if (wood[i].flag) { continue; } min_w = wood[i].w; for (int j = i + 1; j < n; j++) { if (min_w >= wood[j].w&&!wood[j].flag) { min_w = wood[j].w; wood[j].flag = true; } } num++; } printf("%d ", num); } return 0; }