Short Problem Definition:
You are given a list of N people who are attending ACM-ICPC World Finals. Each of them are either well versed in a topic or they are not. Find out the maximum number of topics a 2-person team can know. And also find out how many teams can know that maximum number of topics.
Link
Complexity:
time complexity is O(N^3)
space complexity is O(N)
Execution:
I generate all teams by brute force.
Solution:
def acmTeam(n, m, topic):
maxKnown = 0
teamsCnt = 0
for i in xrange(n-1):
for j in xrange(i+1, n):
knownForThisCombo = 0
for t in xrange(m):
if topic[i][t] == '1' or topic[j][t] == '1':
knownForThisCombo += 1
if knownForThisCombo > maxKnown:
maxKnown = knownForThisCombo;
teamsCnt = 1;
elif knownForThisCombo == maxKnown:
teamsCnt += 1;
return maxKnown, teamsCnt
#include <cmath>
#include <cstdio>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;
int acmIcpc(string &str1, string &str2, int length){
int topicsKnown = 0;
for (int i=0; i<length; i++){
if (str1.at(i) == '1' or str2.at(i) == '1'){
topicsKnown+= 1;
}
}
return topicsKnown;
}
int main() {
string str[500] = {};
int N, M;
cin>>N>>M;
for (int i=0;i<N;i++) {
cin>>str[i];
}
int maxKnown = 0, teamsCnt = 0;
for (int i=0;i<N-1;i++) {
for (int j=i+1;j<N;j++) {
int knownForThisCombo = acmIcpc(str[i], str[j], M);
if (knownForThisCombo > maxKnown){
maxKnown = knownForThisCombo;
teamsCnt = 1;
} else if (knownForThisCombo == maxKnown){
teamsCnt += 1;
}
}
}
cout << maxKnown << endl;
cout << teamsCnt << endl;
return 0;
}