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| 1 | +package com.fishercoder.solutions; |
| 2 | + |
| 3 | +/** |
| 4 | + * 762. Prime Number of Set Bits in Binary Representation |
| 5 | + * |
| 6 | + * Given two integers L and R, find the count of numbers in the range [L, R] (inclusive) having a prime number of set bits in their binary representation. |
| 7 | + * (Recall that the number of set bits an integer has is the number of 1s present when written in binary. |
| 8 | + * For example, 21 written in binary is 10101 which has 3 set bits. Also, 1 is not a prime.) |
| 9 | +
|
| 10 | + Example 1: |
| 11 | +
|
| 12 | + Input: L = 6, R = 10 |
| 13 | + Output: 4 |
| 14 | +
|
| 15 | + Explanation: |
| 16 | + 6 -> 110 (2 set bits, 2 is prime) |
| 17 | + 7 -> 111 (3 set bits, 3 is prime) |
| 18 | + 9 -> 1001 (2 set bits , 2 is prime) |
| 19 | + 10->1010 (2 set bits , 2 is prime) |
| 20 | +
|
| 21 | + Example 2: |
| 22 | +
|
| 23 | + Input: L = 10, R = 15 |
| 24 | + Output: 5 |
| 25 | +
|
| 26 | + Explanation: |
| 27 | + 10 -> 1010 (2 set bits, 2 is prime) |
| 28 | + 11 -> 1011 (3 set bits, 3 is prime) |
| 29 | + 12 -> 1100 (2 set bits, 2 is prime) |
| 30 | + 13 -> 1101 (3 set bits, 3 is prime) |
| 31 | + 14 -> 1110 (3 set bits, 3 is prime) |
| 32 | + 15 -> 1111 (4 set bits, 4 is not prime) |
| 33 | +
|
| 34 | + Note: |
| 35 | +
|
| 36 | + L, R will be integers L <= R in the range [1, 10^6]. |
| 37 | + R - L will be at most 10000. |
| 38 | + */ |
| 39 | + |
| 40 | +public class _762 { |
| 41 | + public static class Solution1 { |
| 42 | + public int countPrimeSetBits(int L, int R) { |
| 43 | + int count = 0; |
| 44 | + for (int i = L; i <= R; i++) { |
| 45 | + if (hasPrimeNumberSetBits(i)) { |
| 46 | + count++; |
| 47 | + } |
| 48 | + } |
| 49 | + return count; |
| 50 | + } |
| 51 | + |
| 52 | + private boolean hasPrimeNumberSetBits(int num) { |
| 53 | + int k = getSetBits(num); |
| 54 | + if (k <= 1) { |
| 55 | + return false; |
| 56 | + } |
| 57 | + for (int i = 2; i * i <= k; i++) { |
| 58 | + if (k % i == 0) { |
| 59 | + return false; |
| 60 | + } |
| 61 | + } |
| 62 | + return true; |
| 63 | + } |
| 64 | + |
| 65 | + private int getSetBits(int n) { |
| 66 | + int bits = 0; |
| 67 | + while (n != 0) { |
| 68 | + bits++; |
| 69 | + n &= (n - 1); |
| 70 | + } |
| 71 | + return bits; |
| 72 | + } |
| 73 | + } |
| 74 | +} |
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