10763 - Foreign Exchange
Time limit: 3.000 seconds
Your non-profit organization (iCORE - internationalConfederation ofRevolver Enthusiasts) coordinates a very successful foreign student exchange program. Over the last few years, demand has sky-rocketed and now you need assistance with your task.
The program your organization runs works as follows: All candidates are asked for their original location and the location they would like to go to. The program works out only if every student has a suitable exchange partner. In other words, if a student wants to go from A to B, there must be another student who wants to go from B to A. This was an easy task when there were only about 50 candidates, however now there are up to500000 candidates!
Input
The input file contains multiple cases. Each test case will consist of a line containingn - the number of candidates(1≤n≤500000), followed byn lines representing the exchange information for each candidate. Each of these lines will contain2 integers, separated by a single space, representing the candidate's original location and the candidate's target location respectively. Locations will be represented by nonnegative integer numbers. You may assume that no candidate will have his or her original location being the same as his or her target location as this would fall into the domestic exchange program. The input is terminated by a case wheren = 0; this case should not be processed.
Output
For each test case, print "YES" on a single line if there is a way for the exchange program to work out, otherwise print"NO".
Sample Input Output for Sample Input
| 10 1 2 2 1 3 4 4 3 100 200 200 100 57 2 2 57 1 2 2 1 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 | YES NO |
思路:判断(x,y)的数量是否与(y,x)相等即可,利用map<pair<int,int>,int>搞定。
完整代码:
/*0.199s*/
#include<bits/stdc++.h>
using namespace std;
map<pair<int, int>, int> m;
map<pair<int, int>, int>::iterator it;
bool ok()
{
for (it = m.begin(); it != m.end(); ++it)
if (it->second) return false;
return true;
}
int main()
{
int n, a, b;
while (scanf("%d", &n), n)
{
m.clear();
while (n--)
{
scanf("%d%d", &a, &b);
a < b ? ++m[make_pair(a, b)] : --m[make_pair(b, a)];
}
puts(ok() ? "YES" : "NO");
}
return 0;
}

本文介绍了一种用于解决大量学生国际交流项目配对问题的高效算法。通过输入学生的原地和目标地信息,该算法使用 map 结构来快速判断是否存在有效的配对方案,确保每位学生都能找到合适的交换伙伴。
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