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36. Missing Coin Sum

Volume problems

• 27. Dice Combinations
• 28. Minimizing Coins
• 30. Distinct Numbers
• 31. Apartments
• 32. Ferris Wheel
• 33. Concert Tickets
• 34. Maximum Subarray Sum
• 35. Stick Lengths
• 36. Missing Coin Sum
• 37. Collecting Numbers
• 38. Playlist
• 39. Towers
• 40. Traffic Lights
• 41. Finding Borders
• 42. Money Sums
• 43. Finding Periods
• 44. Minimal Rotation

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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb. Difficulty Alpha

You have n coins with positive integer values.
What is the smallest sum you cannot create using a subset of the coins?
Input
The first input line has an integer n : the number of coins.
The second line has n integers x1,x2,…,xn : the value of each coin.

Output
Print one integer: the smallest coin sum.

Constraints
  • 1≤n≤2⋅105
  • 1≤x(i)≤109

Example
Input:
5
2 9 1 2 7

Output:
6

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