Leetcode Problem 2188. Minimum Time to Finish the Race

2188. Minimum Time to Finish the Race

Leetcode Solutions

Dynamic Programming with Tire Change Optimization

  1. Preprocess the tires to remove any that are never better than others.
  2. Initialize a DP array dp where dp[x] represents the minimum time to finish x laps.
  3. Calculate the time to finish up to 18 laps without changing tires for each tire type and store these times.
  4. Use these times to fill in the dp array for up to 18 laps.
  5. For x from 1 to numLaps, calculate dp[x] by considering all possible j where j is the lap at which we last changed tires. The state transition is dp[x] = min(dp[x], dp[j] + changeTime + dp[x-j]).
  6. Return dp[numLaps] as the minimum time to finish the race.
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Top-Down Dynamic Programming with Memoization

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