// Slower C++ solution:
#include <algorithm>

#include <cmath>

#include <climits>

#include <cstdio>

#include <cstdlib>

#include <cstring>

#include <fstream>

#include <iostream>

#include <list>

#include <map>

#include <queue>

#include <set>

#include <sstream>

#include <stack>

#include <string>

#include <vector>

#include <cassert>

#include <functional>



using namespace std;



#define LOG(...) printf(__VA_ARGS__)

//#define LOG(...)

#define FOR(i,a,b) for(int i=(int)(a);i<(int)(b);++i)

#define REP(i,n) for(int i=0;i<(int)(n);++i)

#define ALL(a) (a).begin(),(a).end()

#define RALL(a) (a).rbegin(),(a).rend()

#define EXIST(s,e) ((s).find(e)!=(s).end())

#define SORT(c) sort((c).begin(),(c).end())

#define RSORT(c) sort((c).rbegin(),(c).rend())

#define CLR(a) memset((a), 0 ,sizeof(a))



typedef long long ll;

typedef unsigned long long ull;

typedef vector<bool> vb;

typedef vector<int> vi;

typedef vector<ll> vll;

typedef vector<vb> vvb;

typedef vector<vi> vvi;

typedef vector<vll> vvll;

typedef pair<int, int> pii;

typedef pair<ll, ll> pll;



const int dx[] = { -1, 0, 1, 0 }; const int dy[] = { 0, 1, 0, -1 };



int main() {

	int n;

	while (cin>>n,n){

		vector<int> dia(24 * 60 * 60, 0);

		REP(i,n){

			int start;

			int goal;

			string s;

			cin >> s;

			start=atoi(s.substr(0, 2).c_str()) * 60 * 60 + atoi(s.substr(3, 2).c_str()) * 60 + atoi(s.substr(6, 2).c_str());

			cin >> s;

			goal = atoi(s.substr(0, 2).c_str()) * 60 * 60 + atoi(s.substr(3, 2).c_str()) * 60 + atoi(s.substr(6, 2).c_str());

			for (int i = start; i < goal; i++){

				dia[i]++;

			}

		}

		int ans=0;

		REP(i, dia.size()){

			ans = max(ans, dia[i]);

		}

		cout << ans << endl;

	}

}

// Faster C++ solution for the same problem (measured speedup: 1.9183327457672896x):
#include <algorithm>

#include <cmath>

#include <climits>

#include <cstdio>

#include <cstdlib>

#include <cstring>

#include <fstream>

#include <iostream>

#include <list>

#include <map>

#include <queue>

#include <set>

#include <sstream>

#include <stack>

#include <string>

#include <vector>

#include <cassert>

#include <functional>



using namespace std;



#define LOG(...) printf(__VA_ARGS__)

//#define LOG(...)

#define FOR(i,a,b) for(int i=(int)(a);i<(int)(b);++i)

#define REP(i,n) for(int i=0;i<(int)(n);++i)

#define ALL(a) (a).begin(),(a).end()

#define RALL(a) (a).rbegin(),(a).rend()

#define EXIST(s,e) ((s).find(e)!=(s).end())

#define SORT(c) sort((c).begin(),(c).end())

#define RSORT(c) sort((c).rbegin(),(c).rend())

#define CLR(a) memset((a), 0 ,sizeof(a))



typedef long long ll;

typedef unsigned long long ull;

typedef vector<bool> vb;

typedef vector<int> vi;

typedef vector<ll> vll;

typedef vector<vb> vvb;

typedef vector<vi> vvi;

typedef vector<vll> vvll;

typedef pair<int, int> pii;

typedef pair<ll, ll> pll;



const int dx[] = { -1, 0, 1, 0 }; const int dy[] = { 0, 1, 0, -1 };



struct UnionFind {

	vector<int> v;

	UnionFind(int n) : v(n)  { for (int i = 0; i < n; i++) v[i] = i; }

	int  find(int x)         { return v[x] == x ? x : v[x] = find(v[x]); }

	void unite(int x, int y) { v[find(x)] = find(y); }

};



int main() {

	int n;

	while (cin >> n, n) {

		vector<pair<int, bool>> jikoku;

		REP(i, n) {

			string s;

			cin >> s;

			jikoku.push_back({ (s[0]-'0')*36000+ (s[1] - '0') * 3600 + (s[3] - '0') * 600 + (s[4] - '0') * 60 + (s[6] - '0') * 10 + (s[7] - '0') * 1,true });

			cin >> s;

			jikoku.push_back({ (s[0] - '0') * 36000 + (s[1] - '0') * 3600 + (s[3] - '0') * 600 + (s[4] - '0') * 60 + (s[6] - '0') * 10 + (s[7] - '0') * 1,false });

		}

		SORT(jikoku);

		int cnt = 0;

		int ans = 0;

		REP(i, n * 2) {

			if (jikoku[i].second) {

				cnt++;

			}

			else {

				cnt--;

			}

			ans = max(ans, cnt);

		}

		cout << ans << endl;

	}



}