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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 72d218235f
commit f23f22d71c
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106
Task/Esthetic-numbers/Java/esthetic-numbers.java Normal file
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import java.util.ArrayList;
import java.util.stream.IntStream;
import java.util.stream.LongStream;
public class EstheticNumbers {
interface RecTriConsumer<A, B, C> {
void accept(RecTriConsumer<A, B, C> f, A a, B b, C c);
}
private static boolean isEsthetic(long n, long b) {
if (n == 0) {
return false;
}
var i = n % b;
var n2 = n / b;
while (n2 > 0) {
var j = n2 % b;
if (Math.abs(i - j) != 1) {
return false;
}
n2 /= b;
i = j;
}
return true;
}
private static void listEsths(long n, long n2, long m, long m2, int perLine, boolean all) {
var esths = new ArrayList<Long>();
var dfs = new RecTriConsumer<Long, Long, Long>() {
public void accept(Long n, Long m, Long i) {
accept(this, n, m, i);
}
@Override
public void accept(RecTriConsumer<Long, Long, Long> f, Long n, Long m, Long i) {
if (n <= i && i <= m) {
esths.add(i);
}
if (i == 0 || i > m) {
return;
}
var d = i % 10;
var i1 = i * 10 + d - 1;
var i2 = i1 + 2;
if (d == 0) {
f.accept(f, n, m, i2);
} else if (d == 9) {
f.accept(f, n, m, i1);
} else {
f.accept(f, n, m, i1);
f.accept(f, n, m, i2);
}
}
};
LongStream.range(0, 10).forEach(i -> dfs.accept(n2, m2, i));
var le = esths.size();
System.out.printf("Base 10: %d esthetic numbers between %d and %d:%n", le, n, m);
if (all) {
for (int i = 0; i < esths.size(); i++) {
System.out.printf("%d ", esths.get(i));
if ((i + 1) % perLine == 0) {
System.out.println();
}
}
} else {
for (int i = 0; i < perLine; i++) {
System.out.printf("%d ", esths.get(i));
}
System.out.println();
System.out.println("............");
for (int i = le - perLine; i < le; i++) {
System.out.printf("%d ", esths.get(i));
}
}
System.out.println();
System.out.println();
}
public static void main(String[] args) {
IntStream.rangeClosed(2, 16).forEach(b -> {
System.out.printf("Base %d: %dth to %dth esthetic numbers:%n", b, 4 * b, 6 * b);
var n = 1L;
var c = 0L;
while (c < 6 * b) {
if (isEsthetic(n, b)) {
c++;
if (c >= 4 * b) {
System.out.printf("%s ", Long.toString(n, b));
}
}
n++;
}
System.out.println();
});
System.out.println();
// the following all use the obvious range limitations for the numbers in question
listEsths(1000, 1010, 9999, 9898, 16, true);
listEsths((long) 1e8, 101_010_101, 13 * (long) 1e7, 123_456_789, 9, true);
listEsths((long) 1e11, 101_010_101_010L, 13 * (long) 1e10, 123_456_789_898L, 7, false);
listEsths((long) 1e14, 101_010_101_010_101L, 13 * (long) 1e13, 123_456_789_898_989L, 5, false);
listEsths((long) 1e17, 101_010_101_010_101_010L, 13 * (long) 1e16, 123_456_789_898_989_898L, 4, false);
}
}