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Solution for Freelancer's dream on codeforces(http://codeforces.com/contest/606/problem/E)
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""" The problem is an extremely easy linear programming problem. | |
The only issue is that there is no simplex solver in the | |
standard library and scipy is not available on codeforces. | |
""" | |
from scipy.optimize import linprog | |
n, p, q = map(int, raw_input().strip().split()) | |
A = [[], []] | |
b = [-p, -q] | |
c = [1 for _ in xrange(n)] | |
for _ in xrange(n): | |
ai, bi = map(int, raw_input().strip().split()) | |
A[0].append(-ai) | |
A[1].append(-bi) | |
bounds = [(0, None) for _ in xrange(n)] | |
options = { | |
"bland": True, | |
"tol": 1e-15 | |
} | |
res = linprog(c, A_ub=A, b_ub=b, bounds=bounds, options=options) | |
print res.fun |
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