Aggressive Cows Maximum Minimum Distance in DSA Javascript - Interactive Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to sort the stalls array in ascending order.

DSA Javascript

stalls.sort([1]);

Drag options to blanks, or click blank then click option'

A() => 1

B() => 0

C(a, b) => b - a

D(a, b) => a - b

Attempts:

3 left

💡 Hint

Common Mistakes

Using (a, b) => b - a which sorts in descending order.

Not providing a comparator, which sorts numbers as strings.

The sort function needs a comparator that sorts numbers in ascending order: (a, b) => a - b.

2fill in blank

medium

Complete the code to check if cows can be placed with at least 'distance' apart.

DSA Javascript

function canPlaceCows(stalls, cows, distance) {
  let count = 1;
  let lastPosition = stalls[0];
  for (let i = 1; i < stalls.length; i++) {
    if (stalls[i] - lastPosition >= [1]) {
      count++;
      lastPosition = stalls[i];
      if (count === cows) return true;
    }
  }
  return false;
}

Drag options to blanks, or click blank then click option'

Adistance

Bcows

Cstalls.length

DlastPosition

Attempts:

3 left

💡 Hint

Common Mistakes

Comparing with 'cows' or 'stalls.length' instead of 'distance'.

Using 'lastPosition' incorrectly in the comparison.

We check if the gap between current stall and last placed cow is at least 'distance'.

3fill in blank

hard

Fix the error in the binary search loop condition to find the maximum minimum distance.

DSA Javascript

while (low <= [1]) {
  let mid = Math.floor((low + high) / 2);
  if (canPlaceCows(stalls, cows, mid)) {
    result = mid;
    low = mid + 1;
  } else {
    high = mid - 1;
  }
}

Drag options to blanks, or click blank then click option'

Amid

Blow

Chigh

Dresult

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'mid' or 'result' in the loop condition which causes errors.

Using 'low <= low' which is always true and causes infinite loop.

The binary search continues while low is less than or equal to high.

4fill in blank

hard

Fill both blanks to initialize the binary search boundaries correctly.

DSA Javascript

let low = [1];
let high = [2];

Drag options to blanks, or click blank then click option'

A1

B0

Cstalls[stalls.length - 1] - stalls[0]

Dstalls.length

Attempts:

3 left

💡 Hint

Common Mistakes

Setting low to 1 instead of 0.

Setting high to stalls.length which is not a distance.

Low starts at 0 (minimum distance), high is max possible distance between first and last stall.

5fill in blank

hard

Fill all three blanks to return the maximum minimum distance after binary search.

DSA Javascript

function aggressiveCows(stalls, cows) {
  stalls.sort((a, b) => a - b);
  let low = [1];
  let high = [2];
  let result = -1;
  while (low <= high) {
    let mid = Math.floor((low + high) / 2);
    if (canPlaceCows(stalls, cows, mid)) {
      result = mid;
      low = mid + 1;
    } else {
      high = mid - 1;
    }
  }
  return [3];
}

Drag options to blanks, or click blank then click option'

A0

Bstalls.length - 1

Cresult

Dstalls[stalls.length - 1] - stalls[0]

Attempts:

3 left

💡 Hint

Common Mistakes

Returning high or low instead of result.

Setting low or high incorrectly.

Low starts at 0, high is max distance, return the stored result after search.

Practice

1. What is the main goal of the Aggressive Cows Maximum Minimum Distance problem?

easy

A. To place cows in stalls so that the minimum distance between any two cows is as large as possible

B. To find the maximum number of cows that can fit in a single stall

C. To minimize the total distance cows travel between stalls

D. To arrange cows so that all are placed in consecutive stalls

Solution

1. Step 1: Understand the problem objective

   The problem asks to place cows in stalls such that the smallest distance between any two cows is as large as possible.

2. Step 2: Identify the correct goal

   This means maximizing the minimum distance between cows, not minimizing travel or fitting all cows in one stall.

3. Final Answer:

   To place cows in stalls so that the minimum distance between any two cows is as large as possible -> Option A

4. Quick Check:

   Maximize minimum distance = place cows far apart [OK]

Hint: Maximize smallest gap between cows, not total or max distance [OK]

Common Mistakes:

• Confusing maximum minimum distance with total distance
• Thinking cows must be in consecutive stalls
• Trying to minimize distance instead of maximizing

2. Which of the following is the correct way to start the binary search for the minimum distance in the aggressive cows problem in JavaScript?

easy

A. let low = stalls[0]; let high = stalls[stalls.length - 1];

B. let low = 0; let high = stalls[stalls.length - 1] - stalls[0];

C. let low = 1; let high = stalls.length;

D. let low = 0; let high = stalls.length - 1;

Solution

1. Step 1: Understand binary search range for distance

   The minimum distance can be as low as 0 and as high as the difference between the last and first stall positions.

2. Step 2: Choose correct initialization

   Setting low = 0 and high = stalls[stalls.length - 1] - stalls[0] correctly covers all possible distances.

3. Final Answer:

   let low = 0; let high = stalls[stalls.length - 1] - stalls[0]; -> Option B

4. Quick Check:

   Distance range = 0 to max stall gap [OK]

Hint: Binary search distance between 0 and max stall position gap [OK]

Common Mistakes:

• Using stall indices instead of stall positions for high
• Starting low at 1 instead of 0
• Confusing stall count with distance range

3. What will be the output of the following JavaScript code snippet for stalls = [1, 2, 8, 4, 9] and cows = 3?

function canPlaceCows(stalls, cows, dist) {
  let count = 1;
  let lastPos = stalls[0];
  for (let i = 1; i < stalls.length; i++) {
    if (stalls[i] - lastPos >= dist) {
      count++;
      lastPos = stalls[i];
      if (count === cows) return true;
    }
  }
  return false;
}

const stallsSorted = stalls.sort((a,b) => a-b);
console.log(canPlaceCows(stallsSorted, cows, 3));

medium

A. TypeError

B. false

C. undefined

D. true

Solution

1. Step 1: Sort stalls and check placement with distance 3

   Sorted stalls: [1, 2, 4, 8, 9]. Place first cow at 1.

2. Step 2: Place next cows at positions with at least 3 distance

   Next cow at 4 (4-1=3), third cow at 8 (8-4=4). 3 cows placed successfully.

3. Final Answer:

   true -> Option D

4. Quick Check:

   Can place 3 cows with distance 3 = true [OK]

Hint: Sort stalls first, then check placement with given distance [OK]

Common Mistakes:

• Not sorting stalls before checking
• Miscounting cows placed
• Confusing distance condition with <= instead of >=

4. Identify the bug in this JavaScript function for checking if cows can be placed with a given distance:

function canPlaceCows(stalls, cows, dist) {
  let count = 0;
  let lastPos = stalls[0];
  for (let i = 1; i < stalls.length; i++) {
    if (stalls[i] - lastPos >= dist) {
      count++;
      lastPos = stalls[i];
      if (count === cows) return true;
    }
  }
  return false;
}

medium

A. count should start at 1 because first cow is placed at stalls[0]

B. lastPos should be initialized to 0 instead of stalls[0]

C. The loop should start from i = 0 instead of i = 1

D. The function should return false inside the loop when count < cows

Solution

1. Step 1: Analyze initial count value

   First cow is placed at stalls[0], so count should start at 1, not 0.

2. Step 2: Understand impact of count initialization

   Starting count at 0 causes undercounting cows placed, leading to incorrect results.

3. Final Answer:

   count should start at 1 because first cow is placed at stalls[0] -> Option A

4. Quick Check:

   Count starts at 1 for first cow placed [OK]

Hint: Count first cow placement before loop starts [OK]

Common Mistakes:

• Starting count at 0 and missing first cow
• Changing lastPos incorrectly
• Returning false too early inside loop

5. Given stalls at positions [2, 4, 7, 11, 14, 17] and 4 cows, what is the maximum minimum distance to place all cows? Use the aggressive cows approach.

hard

A. 7

B. 6

C. 4

D. 5

Solution

1. Step 1: Sort stalls and set search range

   Stalls sorted: [2, 4, 7, 11, 14, 17]. Distance range low=0, high=15 (17-2).

2. Step 2: Use binary search to find max minimum distance

   Check mid=7: place cows at 2, 11, only 2 cows placed, fail.
   Check mid=5: place cows at 2, 7, 14, only 3 cows placed, fail.
   Check mid=6: place cows at 2, 11, 17, only 3 cows placed, fail.
   Check mid=4: place cows at 2, 7, 11, 17 (gaps 5,4,6 all >=4), success.
   Check mid=4 works, mid=5 fails, so max distance is 4.

3. Step 3: Trace placement for mid=5 carefully

   Place first cow at 2.
   Next at 4 (4-2=2 <5), skip.
   Next at 7 (7-2=5 >=5), place second cow, lastPos=7.
   Next at 11 (11-7=4 <5), skip.
   Next at 14 (14-7=7 >=5), place third cow, lastPos=14.
   Next at 17 (17-14=3 <5), skip.
   Only 3 cows placed, need 4, so 5 fails.

4. Final Answer:

   4 -> Option C

5. Quick Check:

   Max min distance = 4 [OK]

Hint: Binary search max distance, verify placement count carefully [OK]

Common Mistakes:

• Not sorting stalls before binary search
• Miscounting cows placed at mid distance
• Confusing mid distance checks in binary search