LeetCode 774: Minimize Max Distance to Gas Station Solution
Master LeetCode problem 774 (Minimize Max Distance to Gas Station), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.
774. Minimize Max Distance to Gas Station
Problem Explanation
Explanation:
This problem can be solved using binary search. We can binary search for the minimum possible maximum distance between gas stations. For each mid value of the binary search, we check if it is possible to add extra gas stations such that the maximum distance is less than or equal to the mid value. If it is possible, we update our answer and continue with the binary search on the left half; otherwise, we search on the right half.
Solution Code
class Solution {
public double minmaxGasDist(int[] stations, int K) {
int n = stations.length;
double left = 0, right = stations[n-1] - stations[0];
while (right - left > 1e-6) {
double mid = (left + right) / 2;
int count = 0;
for (int i = 0; i < n - 1; i++) {
count += Math.ceil((stations[i+1] - stations[i]) / mid) - 1;
}
if (count > K) {
left = mid;
} else {
right = mid;
}
}
return left;
}
}Try It Yourself
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