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Java-based LeetCode algorithm problem solutions, regularly updated
package g2501_2600.s2528_maximize_the_minimum_powered_city;
// #Hard #Array #Greedy #Binary_Search #Prefix_Sum #Sliding_Window #Queue
// #2023_04_19_Time_51_ms_(77.59%)_Space_60_MB_(5.17%)
public class Solution {
private boolean canIBeTheMinimum(long[] power, long minimum, int k, int r) {
int n = power.length;
long[] extraPower = new long[n];
for (int i = 0; i < n; i++) {
if (i > 0) {
extraPower[i] += extraPower[i - 1];
}
long curPower = power[i] + extraPower[i];
long req = minimum - curPower;
if (req <= 0) {
continue;
}
if (req > k) {
return false;
}
k -= req;
extraPower[i] += (req);
if (i + 2 * r + 1 < n) {
extraPower[i + 2 * r + 1] -= (req);
}
}
return true;
}
private long[] calculatePowerArray(int[] stations, int r) {
int n = stations.length;
long[] preSum = new long[n];
for (int i = 0; i < n; i++) {
int st = i - r;
int last = i + r + 1;
if (st < 0) {
st = 0;
}
preSum[st] += stations[i];
if (last < n) {
preSum[last] -= stations[i];
}
}
for (int i = 1; i < n; i++) {
preSum[i] += preSum[i - 1];
}
return preSum;
}
public long maxPower(int[] stations, int r, int k) {
long min = 0;
long sum = (long) Math.pow(10, 10) + (long) Math.pow(10, 9);
long[] power = calculatePowerArray(stations, r);
long ans = -1;
while (min <= sum) {
long mid = (min + sum) >> 1;
if (canIBeTheMinimum(power, mid, k, r)) {
ans = mid;
min = mid + 1;
} else {
sum = mid - 1;
}
}
return ans;
}
}