Kolikot

import itertools
import math

qty = int(raw_input())
coins = sorted([int(x) for x in raw_input().split(" ")])

def viableFor(money):
    result = []
    for coin in coins:
        if coin < money:
            result.append(coin)
        elif coin == money:
            return [coin]
        else:
            return result
    return result

uCombinations = []

def findSum(money, combinations):
    ln = 2
    rq = False
    while ln < len(combinations) + 1 and not rq:
        rq = True
        if len(uCombinations) > ln-2:
            for s in uCombinations[ln-2]:
                if money == s:
                    return True
                elif money > s:
                    rq = False
        else:
            row = set()
            for x in itertools.combinations(combinations, ln):
                s = sum(x)
                row.add(s)
                if money == s:
                    return True
                elif money > s:
                    rq = False
            uCombinations.append(row)
        ln = ln + 1
    return False

def binarize(combinations):
    x = 1
    while 2**x in combinations:
        x = x + 1
    return 2**(x)-1

if coins[0] > 1:
    print("1")
else:
    i = binarize(coins)
    maxval = sum(coins)
    while i < maxval+1:
        #print(i)
        combinations = viableFor(i)
        if len(combinations) == 0:
            break
        elif len(combinations) == 1:
            pass
        else:
            if not findSum(i, combinations):
                break
        i = i + 1
    print(i)

Test 1

Group: 1

Verdict: ACCEPTED

Test 2

Group: 1

Verdict: ACCEPTED

Test 3

Group: 1

Verdict: ACCEPTED

Test 4

Group: 1

Verdict: ACCEPTED

Test 5

Group: 1

Verdict: ACCEPTED

Test 6

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 7

Group: 2

Verdict: ACCEPTED

Test 8

Group: 2

Verdict: ACCEPTED

Test 9

Group: 2

Verdict: ACCEPTED

Test 10

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 11

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 12

Group: 3

Verdict: ACCEPTED

Test 13

Group: 3

Verdict: ACCEPTED

Test 14

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 15

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 16

Group: 3

Verdict: TIME LIMIT EXCEEDED