Problems
ACM
ACM
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The Association of Chess Monsters (\textbf{ACM}) is planning their annual team match up against the rest of the world. The match will be on \textbf{30} boards, with \textbf{15} players playing white and \textbf{15} players playing black. ACM has many players to choose from, and they try to pick the best team they can. The ability of each player for playing white is measured on a scale from \textbf{1} to \textbf{100} and the same for playing black. During the match a player can play white or black but not both. The value of a team is the total of players' abilities to play white for players designated to play white and players' abilities to play black for players designated to play black. \textbf{ACM} wants to pick up a team with the highest total value.
\textbf{Input} Input consists of a sequence of lines giving players' abilities. Each line gives the abilities of a single player by two integer numbers separated by a single space. The first number is the player's ability to play white and the second is the player's ability to play black. There will be no less than \textbf{30} and no more than \textbf{1000} lines on input. \textbf{Output} Output a single line containing an integer number giving the value of the best chess team that \textbf{ACM} can assemble.
Input example #1
87 84 66 78 86 94 93 87 72 100 78 63 60 91 77 64 77 91 87 73 69 62 80 68 81 83 74 63 86 68 53 80 59 73 68 70 57 94 93 62 74 80 70 72 88 85 75 99 71 66 77 64 81 92 74 57 71 63 82 97 76 56
Output example #1
2506