Test results - Codility

Tasks Details

easy

1. Dominator

Find an index of an array such that its value occurs at more than half of indices in the array.

100%

An array A consisting of N integers is given. The dominator of array A is the value that occurs in more than half of the elements of A.

For example, consider array A such that

A[0] = 3 A[1] = 4 A[2] = 3 A[3] = 2 A[4] = 3 A[5] = -1 A[6] = 3 A[7] = 3

The dominator of A is 3 because it occurs in 5 out of 8 elements of A (namely in those with indices 0, 2, 4, 6 and 7) and 5 is more than a half of 8.

Write a function

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

that, given an array A consisting of N integers, returns index of any element of array A in which the dominator of A occurs. The function should return −1 if array A does not have a dominator.

For example, given array A such that

A[0] = 3 A[1] = 4 A[2] = 3 A[3] = 2 A[4] = 3 A[5] = -1 A[6] = 3 A[7] = 3

the function may return 0, 2, 4, 6 or 7, as explained above.

Write an efficient algorithm for the following assumptions:

N is an integer within the range [0..100,000];

each element of array A is an integer within the range [−2,147,483,648..2,147,483,647].

Solution

Programming language used Java 8

Time spent on task 11 minutes

Notes

not defined yet

Task timeline

Code: 12:55:02 UTC, java, verify, result: Passed

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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

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

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

class Solution {
    public int solution(int[] A) {
        int lastIndexOfLeader = -1;
        int stackCounter = 0, candidate=-1, value=-1;

        for(int element: A ) {
            if (stackCounter == 0) {
                value = element;
                ++stackCounter;
            } else {
                if (value == element) {
                    ++stackCounter;
                } else {
                    --stackCounter;
                }
            }
        }

        if (stackCounter > 0 ) {
            candidate = value;
        } else {
            return -1;
        }

        int countRepetitions = 0, i = 0;
        for (int element: A) {
            if( element == candidate) {
                ++countRepetitions;
                lastIndexOfLeader = i;
            }
            ++i;
        }

        if(countRepetitions > (A.length / 2) ) {
            return lastIndexOfLeader;
        } else {
            return -1;
        }
    }
}

Analysis

▶

example
example test

✔

Code: 13:03:29 UTC, java, verify, result: Failed

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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

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

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

class Solution {
    public int solution(int[] A) {
        int indexOfCandidate = -1;
        int stackCounter = 0, candidate=-1, value=-1, i =0;

        for(int element: A ) {
            if (stackCounter == 0) {
                value = element;
                ++stackCounter;
                indexOfCandidate = i;
            } else {
                if (value == element) {
                    ++stackCounter;
                } else {
                    --stackCounter;
                }
            }
            ++i;
        }

        if (stackCounter > 0 ) {
            candidate = value;
        } else {
            return -1;
        }

        int countRepetitions = 0;
        for (int element: A) {
            if( element == candidate) {
                ++countRepetitions;
                
            }
            if(countRepetitions > (A.length / 2)) {
                return indexOfCandidate
            }
        }

        return -1;
    }
}

Analysis

Compile error

Solution.java:40: error: ';' expected
                return indexOfCandidate
                                       ^
1 error

Code: 13:03:33 UTC, java, verify, result: Passed

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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

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

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

class Solution {
    public int solution(int[] A) {
        int indexOfCandidate = -1;
        int stackCounter = 0, candidate=-1, value=-1, i =0;

        for(int element: A ) {
            if (stackCounter == 0) {
                value = element;
                ++stackCounter;
                indexOfCandidate = i;
            } else {
                if (value == element) {
                    ++stackCounter;
                } else {
                    --stackCounter;
                }
            }
            ++i;
        }

        if (stackCounter > 0 ) {
            candidate = value;
        } else {
            return -1;
        }

        int countRepetitions = 0;
        for (int element: A) {
            if( element == candidate) {
                ++countRepetitions;
                
            }
            if(countRepetitions > (A.length / 2)) {
                return indexOfCandidate;
            }
        }

        return -1;
    }
}

Analysis

▶

example
example test

✔

Code: 13:03:47 UTC, java, verify, result: Passed

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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

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

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

class Solution {
    public int solution(int[] A) {
        int indexOfCandidate = -1;
        int stackCounter = 0, candidate=-1, value=-1, i =0;

        for(int element: A ) {
            if (stackCounter == 0) {
                value = element;
                ++stackCounter;
                indexOfCandidate = i;
            } else {
                if (value == element) {
                    ++stackCounter;
                } else {
                    --stackCounter;
                }
            }
            ++i;
        }

        if (stackCounter > 0 ) {
            candidate = value;
        } else {
            return -1;
        }

        int countRepetitions = 0;
        for (int element: A) {
            if( element == candidate) {
                ++countRepetitions;
                
            }
            if(countRepetitions > (A.length / 2)) {
                return indexOfCandidate;
            }
        }

        return -1;
    }
}

Analysis

▶

example
example test

✔

Code: 13:04:15 UTC, java, verify, result: Passed

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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

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

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

class Solution {
    public int solution(int[] A) {
        int indexOfCandidate = -1;
        int stackCounter = 0, candidate=-1, value=-1, i =0;

        for(int element: A ) {
            if (stackCounter == 0) {
                value = element;
                ++stackCounter;
                indexOfCandidate = i;
            } else {
                if (value == element) {
                    ++stackCounter;
                } else {
                    --stackCounter;
                }
            }
            ++i;
        }

        if (stackCounter > 0 ) {
            candidate = value;
        } else {
            return -1;
        }

        int countRepetitions = 0;
        for (int element: A) {
            if( element == candidate) {
                ++countRepetitions;
                
            }
            if(countRepetitions > (A.length / 2)) {
                return indexOfCandidate;
            }
        }

        return -1;
    }
}

Analysis

▶

example
example test

✔

▶

test_data1

✔

▶

test_data2

✔

▶

test_data3

✔

Code: 13:04:59 UTC, java, verify, result: Passed

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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

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

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

class Solution {
    public int solution(int[] A) {
        int indexOfCandidate = -1;
        int stackCounter = 0, candidate=-1, value=-1, i =0;

        for(int element: A ) {
            if (stackCounter == 0) {
                value = element;
                ++stackCounter;
                indexOfCandidate = i;
            } else {
                if (value == element) {
                    ++stackCounter;
                } else {
                    --stackCounter;
                }
            }
            ++i;
        }

        if (stackCounter > 0 ) {
            candidate = value;
        } else {
            return -1;
        }

        int countRepetitions = 0;
        for (int element: A) {
            if( element == candidate) {
                ++countRepetitions;
                
            }
            if(countRepetitions > (A.length / 2)) {
                return indexOfCandidate;
            }
        }

        return -1;
    }
}

Analysis

▶

example
example test

✔

▶

test_data1

✔

Code: 13:05:25 UTC, java, verify, result: Passed

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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

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

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

class Solution {
    public int solution(int[] A) {
        int indexOfCandidate = -1;
        int stackCounter = 0, candidate=-1, value=-1, i =0;

        for(int element: A ) {
            if (stackCounter == 0) {
                value = element;
                ++stackCounter;
                indexOfCandidate = i;
            } else {
                if (value == element) {
                    ++stackCounter;
                } else {
                    --stackCounter;
                }
            }
            ++i;
        }

        if (stackCounter > 0 ) {
            candidate = value;
        } else {
            return -1;
        }

        int countRepetitions = 0;
        for (int element: A) {
            if( element == candidate) {
                ++countRepetitions;
                
            }
            if(countRepetitions > (A.length / 2)) {
                return indexOfCandidate;
            }
        }

        return -1;
    }
}

Analysis

▶

example
example test

✔

▶

test_data1

✔

▶

test_data2

✔

Code: 13:05:35 UTC, java, verify, result: Passed

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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

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

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

class Solution {
    public int solution(int[] A) {
        int indexOfCandidate = -1;
        int stackCounter = 0, candidate=-1, value=-1, i =0;

        for(int element: A ) {
            if (stackCounter == 0) {
                value = element;
                ++stackCounter;
                indexOfCandidate = i;
            } else {
                if (value == element) {
                    ++stackCounter;
                } else {
                    --stackCounter;
                }
            }
            ++i;
        }

        if (stackCounter > 0 ) {
            candidate = value;
        } else {
            return -1;
        }

        int countRepetitions = 0;
        for (int element: A) {
            if( element == candidate) {
                ++countRepetitions;
                
            }
            if(countRepetitions > (A.length / 2)) {
                return indexOfCandidate;
            }
        }

        return -1;
    }
}

Analysis

▶

example
example test

✔

▶

test_data1

✔

▶

test_data2

✔

Code: 13:05:43 UTC, java, final, score: 100

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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

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

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

class Solution {
    public int solution(int[] A) {
        int indexOfCandidate = -1;
        int stackCounter = 0, candidate=-1, value=-1, i =0;

        for(int element: A ) {
            if (stackCounter == 0) {
                value = element;
                ++stackCounter;
                indexOfCandidate = i;
            } else {
                if (value == element) {
                    ++stackCounter;
                } else {
                    --stackCounter;
                }
            }
            ++i;
        }

        if (stackCounter > 0 ) {
            candidate = value;
        } else {
            return -1;
        }

        int countRepetitions = 0;
        for (int element: A) {
            if( element == candidate) {
                ++countRepetitions;
                
            }
            if(countRepetitions > (A.length / 2)) {
                return indexOfCandidate;
            }
        }

        return -1;
    }
}

Analysis summary

The solution obtained perfect score.

Analysis

Detected time complexity:

O(N*log(N)) or O(N)

▶

example
example test

✔

▶

small_nondominator
all different and all the same elements

✔

▶

small_half_positions
half elements the same, and half + 1 elements the same

✔

▶

small
small test

✔

▶

small_pyramid
decreasing and plateau, small

✔

▶

extreme_empty_and_single_item
empty and single element arrays

✔

▶

extreme_half1
array with exactly N/2 values 1, N even + [0,0,1,1,1]

✔

▶

extreme_half2
array with exactly floor(N/2) values 1, N odd + [0,0,1,1,1]

✔

▶

extreme_half3
array with exactly ceil(N/2) values 1 + [0,0,1,1,1]

✔

▶

medium_pyramid
decreasing and plateau, medium

✔

▶

large_pyramid
decreasing and plateau, large

✔

▶

medium_random
random test with dominator, N = 10,000

✔

▶

large_random
random test with dominator, N = 100,000

✔