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Volumes > C. T. 2011 > problem:


Going to the Movies

Volume problems

• Buying hay
• Best Grass
• Cow PinBall
• Cow Sorting
• Maximum Sum
• Making Change
• Colored hills
• Word Statistics
• Going to the Movies
• A to the power of B
• Connected components
• Binary transformations
• Fleas
• Babel tower
• Pizza delivery
• Railway turnout
• Door lock

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Time limit 1000/1000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.

Problem description

Farmer John is taking some of his cows to the movies! While his truck has a limited capacity of C (100 <= C <= 5000) kilograms, he wants to take the cows that, in aggregate, weigh as much as possible without exceeding the limit C.

Given N (1 <= N <= 100) cows and their respective weights W_i, determine the weight of the heaviest group of cows that FJ can take to the movies.

Input

* Line 1: Two space-separated integers: C and N

* Lines 2..N+1: Line i+1 contains a single integer: W_i

Output

* Line 1: A single integer that is the weight of the heaviest group of cows that can go to the movies

Example

stdin stdout

259 5
81
58
42
33
61

242

81+58+42+61 = 242; this is the best possible sum

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