g0401_0500.s0483_smallest_good_base.Solution Maven / Gradle / Ivy
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Java Solution for LeetCode algorithm problems, continually updating
package g0401_0500.s0483_smallest_good_base;
// #Hard #Math #Binary_Search #2022_07_21_Time_2_ms_(96.00%)_Space_40.6_MB_(93.33%)
import java.util.ArrayList;
import java.util.List;
public class Solution {
public String smallestGoodBase(String n) {
return sol1(n);
}
private String sol1(String n) {
long x = Long.parseLong(n);
List ans = new ArrayList<>();
ans.add(x - 1);
long y = x - 1;
for (int i = 2; i < 63; i++) {
double dm = Math.pow(y, 1.0 / i);
long dml = (long) dm;
for (int j = 0; j > -3 && dml + j > 1; j--) {
long d = dml + j;
if (y % d == 0) {
long poly = poly(d, i);
if (poly == x) {
ans.add(d);
}
}
}
}
long end = ans.get(ans.size() - 1);
return end + "";
}
private long poly(long b, int n) {
long ans = 1;
long m = 1;
for (int i = 0; i < n; i++) {
m *= b;
ans += m;
}
return ans;
}
}