I I U C O N L I N E C O N T E S T 2 0 0 8 |
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Problem E: The Bus Driver Problem |
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Input: standard input Output: standard output |
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In a city there are n bus drivers. Also there are n morning bus routes & n afternoon bus routes with various lengths. Each driver is assigned one morning route & one evening route. For any driver, if his total route length for a day exceeds d, he has to be paid overtime for every hour after the first d hours at a flat r taka / hour. Your task is to assign one morning route & one evening route to each bus driver so that the total overtime amount that the authority has to pay is minimized.
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Input |
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The first line of each test case has three integers n, d and r, as described above. In the second line, there are n space separated integers which are the lengths of the morning routes given in meters. Similarly the third line has n space separated integers denoting the evening route lengths. The lengths are positive integers less than or equal to 10000. The end of input is denoted by a case with three 0 s.
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Output |
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For each test case, print the minimum possible overtime amount that the authority must pay.
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Constraints |
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- 1 ≤ n ≤ 100 - 1 ≤ d ≤ 10000 - 1 ≤ r ≤ 5
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Sample Input |
Output for Sample Input |
2 20 5 10 15 10 15 2 20 5 10 10 10 10 0 0 0 |
50 0 |
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Problem setter: Mohammad Mahmudur Rahman |