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LeetcodeProblems/Algorithms/easy/Bit_Reverse_To_Make_Numbers_Equal.js
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/* | ||
3226. Number of Bit Changes to Make Two Integers Equal | ||
https://leetcode.com/problems/number-of-bit-changes-to-make-two-integers-equal/description/ | ||
You are given two positive integers n and k. | ||
You can choose any bit in the binary representation of n that is equal to 1 and change it to 0. | ||
Return the number of changes needed to make n equal to k. If it is impossible, return -1. | ||
Example 1: | ||
Input: n = 13, k = 4 | ||
Output: 2 | ||
Explanation: | ||
Initially, the binary representations of n and k are n = (1101)base2 and k = (0100)base2. | ||
We can change the first and fourth bits of n. The resulting integer is n = (0100)base2 = k. | ||
Example 2: | ||
Input: n = 21, k = 21 | ||
Output: 0 | ||
Explanation: | ||
n and k are already equal, so no changes are needed. | ||
Example 3: | ||
Input: n = 14, k = 13 | ||
Output: -1 | ||
Explanation: | ||
It is not possible to make n equal to k. | ||
Constraints: | ||
1 <= n, k <= 10^6 | ||
*/ | ||
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/* | ||
Approach | ||
Check if transformation is possible: | ||
Use a bitwise AND operation to ensure all 1 bits in k are also 1 bits in n. If not, return -1. | ||
Calculate the number of changes: | ||
Use a bitwise XOR operation to identify differing bits between n and k. | ||
Count the number of 1s in the result of the XOR operation. | ||
*/ | ||
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/** | ||
* @param {number} n | ||
* @param {number} k | ||
* @return {number} | ||
*/ | ||
var minChanges = function bitChanges(n, k) { | ||
// Check if transformation is possible | ||
if ((n & k) !== k) { | ||
return -1; | ||
} | ||
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// Calculate the number of changes | ||
let changes = 0; | ||
let diff = n ^ k; | ||
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while (diff > 0) { | ||
changes += diff & 1; | ||
diff >>= 1; | ||
} | ||
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return changes; | ||
} |
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LeetcodeProblemsTests/Algorithms/easy/Bit_Reverse_To_Make_Numbers_Equal.js
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const assert = require("assert"); | ||
const bitReverseToMakeNumberEqual = require("../../../LeetcodeProblems/Algorithms/easy/Bit_Reverse_To_Make_Numbers_Equal").bitChanges; | ||
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function test() { | ||
assert.deepEqual( | ||
bitChanges(13, 4), | ||
2 | ||
); | ||
assert.deepEqual( | ||
bitChanges(21, 21), | ||
0 | ||
); | ||
assert.deepEqual( | ||
bitChanges(14, 13), | ||
-1 | ||
); | ||
} | ||
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module.exports.test = test; |
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