Test results - Codility

Tasks Details

medium

1. CountNonDivisible

Calculate the number of elements of an array that are not divisors of each element.

Task Score

100%

Correctness

100%

Performance

100%

You are given an array A consisting of N integers.

For each number A[i] such that 0 ≤ i < N, we want to count the number of elements of the array that are not the divisors of A[i]. We say that these elements are non-divisors.

For example, consider integer N = 5 and array A such that:

A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 3 A[4] = 6

For the following elements:

A[0] = 3, the non-divisors are: 2, 6,

A[1] = 1, the non-divisors are: 3, 2, 3, 6,

A[2] = 2, the non-divisors are: 3, 3, 6,

A[3] = 3, the non-divisors are: 2, 6,

A[4] = 6, there aren't any non-divisors.

Write a function:

class Solution { public int[] solution(int[] A); }

that, given an array A consisting of N integers, returns a sequence of integers representing the amount of non-divisors.

Result array should be returned as an array of integers.

For example, given:

A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 3 A[4] = 6

the function should return [2, 4, 3, 2, 0], as explained above.

Write an efficient algorithm for the following assumptions:

N is an integer within the range [1..50,000];

each element of array A is an integer within the range [1..2 * N].

Solution

Programming language used Java 8

Time spent on task 39 minutes

Notes

not defined yet

Task timeline

Code: 10:44:20 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        // write your code in Java SE 8
    }
}

Code: 10:44:50 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];

        return result;
    }
}

Code: 11:15:49 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
    
        return result;
    }
}

Code: 11:16:19 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is []1, 
        int[] divisors = new int[(A.length * 2) + 1];
        return result;
    }
}

Code: 11:16:29 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        return result;
    }
}

Code: 11:16:50 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        return result;
    }
}

Code: 11:18:51 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for
        return result;
    }
}

Code: 11:19:18 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx = 0; idx < A.length; idx++) {
            int count = 0;
            for (int idx)
        }
        return result;
    }
}

Code: 11:20:32 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx1 = 0; idx < A.length; idx++) {
            int count = 0;
            for (int idx)
        }
        return result;
    }
}

Code: 11:21:03 UTC, java, autosave

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// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx1 = 0; idx1 < A.length; idx1++) {
            int count = 0;
            for (int idx2 = 1; idx2 * idx2 <= A[idx1]; idx2++) {
                if (A[idx1] % idx2 == 0) 
            }
        }
        return result;
    }
}

Code: 11:21:34 UTC, java, autosave

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx1 = 0; idx1 < A.length; idx1++) {
            int count = 0;
            for (int idx2 = 1; idx2 * idx2 <= A[idx1]; idx2++) {
                // Common factor
                if (A[idx1] % idx2 == 0) {
                    count += divisors[idx2];
                    if (A[idx1] / idx2 != idx2) {
                        count
                    }
                }
            }
        }
        return result;
    }
}

Code: 11:21:44 UTC, java, autosave

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx1 = 0; idx1 < A.length; idx1++) {
            int count = 0;
            for (int idx2 = 1; idx2 * idx2 <= A[idx1]; idx2++) {
                // Common factor
                if (A[idx1] % idx2 == 0) {
                    count += divisors[idx2];
                    if (A[idx1] / idx2 != idx2) {
                        count += divisors[A[idx1] / idx2];
                    }
                }
            }
        }
        return result;
    }
}

Code: 11:22:04 UTC, java, autosave

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx1 = 0; idx1 < A.length; idx1++) {
            int count = 0;
            for (int idx2 = 1; idx2 * idx2 <= A[idx1]; idx2++) {
                // Common factor
                if (A[idx1] % idx2 == 0) {
                    count += divisors[idx2];
                    // Not square root
                    if (A[idx1] / idx2 != idx2) {
                        count += divisors[A[idx1] / idx2];
                    }
                }
            }
        }
        return result;
    }
}

Code: 11:22:22 UTC, java, autosave

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx1 = 0; idx1 < A.length; idx1++) {
            int count = 0;
            for (int idx2 = 1; idx2 * idx2 <= A[idx1]; idx2++) {
                // Common factor
                if (A[idx1] % idx2 == 0) {
                    count += divisors[idx2];
                    // Not square root
                    if (A[idx1] / idx2 != idx2) {
                        count += divisors[A[idx1] / idx2];
                    }
                }
            }
            result[idx1] = A.length - count;
        }
        return result;
    }
}

Code: 11:22:26 UTC, java, verify, result: Passed

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx1 = 0; idx1 < A.length; idx1++) {
            int count = 0;
            for (int idx2 = 1; idx2 * idx2 <= A[idx1]; idx2++) {
                // Common factor
                if (A[idx1] % idx2 == 0) {
                    count += divisors[idx2];
                    // Not square root
                    if (A[idx1] / idx2 != idx2) {
                        count += divisors[A[idx1] / idx2];
                    }
                }
            }
            result[idx1] = A.length - count;
        }
        return result;
    }
}

Analysis

expand all Example tests

▶

example
example test

✔

0.004 s

Code: 11:22:33 UTC, java, verify, result: Passed

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx1 = 0; idx1 < A.length; idx1++) {
            int count = 0;
            for (int idx2 = 1; idx2 * idx2 <= A[idx1]; idx2++) {
                // Common factor
                if (A[idx1] % idx2 == 0) {
                    count += divisors[idx2];
                    // Not square root
                    if (A[idx1] / idx2 != idx2) {
                        count += divisors[A[idx1] / idx2];
                    }
                }
            }
            result[idx1] = A.length - count;
        }
        return result;
    }
}

Analysis

expand all Example tests

▶

example
example test

✔

0.012 s

Code: 11:22:38 UTC, java, final, score: 100

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

// you can also use imports, for example:
// import java.util.*;

// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");

class Solution {
    public int[] solution(int[] A) {
        int[] result = new int[A.length];
        // Initializing array, element's range is [1, 2 * N]
        int[] divisors = new int[(A.length * 2) + 1];
        for (int idx = 0; idx < A.length; idx++) {
            divisors[A[idx]]++;
        }
        for (int idx1 = 0; idx1 < A.length; idx1++) {
            int count = 0;
            for (int idx2 = 1; idx2 * idx2 <= A[idx1]; idx2++) {
                // Common factor
                if (A[idx1] % idx2 == 0) {
                    count += divisors[idx2];
                    // Not square root
                    if (A[idx1] / idx2 != idx2) {
                        count += divisors[A[idx1] / idx2];
                    }
                }
            }
            result[idx1] = A.length - count;
        }
        return result;
    }
}

Analysis summary

The solution obtained perfect score.

Analysis

Detected time complexity:

O(N * log(N))

expand all Example tests

▶

example
example test

✔

0.008 s

expand all Correctness tests

▶

extreme_simple
extreme simple

✔

0.008 s

0.004 s

▶

double
two elements

✔

0.004 s

▶

simple
simple tests

✔

0.004 s

▶

primes
prime numbers

✔

0.004 s

▶

small_random
small, random numbers, length = 100

✔

0.004 s

expand all Performance tests

▶

medium_random
medium, random numbers length = 5,000

✔

0.076 s

0.072 s

▶

large_range
1, 2, ..., N, length = ~20,000

✔

0.308 s

0.284 s

▶

large_random
large, random numbers, length = ~30,000

✔

0.504 s

0.552 s

▶

large_extreme
large, all the same values, length = 50,000

✔

1.000 s

0.376 s

0.504 s