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AVAILABLE LESSONS:

Lesson 1

Iterations

Lesson 2

Arrays

Lesson 3

Time Complexity

Lesson 4

Counting Elements

Lesson 5

Prefix Sums

Lesson 6

Sorting

Lesson 7

Stacks and Queues

Lesson 8

Leader

Lesson 9

Maximum slice problem

Lesson 10

Prime and composite numbers

Lesson 11

Sieve of Eratosthenes

Lesson 12

Euclidean algorithm

Lesson 13

Fibonacci numbers

Lesson 14

Binary search algorithm

Lesson 15

Caterpillar method

Lesson 16

Greedy algorithms

Lesson 17

Dynamic programming

Spoken language:

For a given array A of N integers and a sequence S of N integers from the set {−1, 1}, we define val(A, S) as follows:

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

int solution(int A[], int N);

that, given an array A of N integers, computes the minimum value of val(A,S) from all possible values of val(A,S) for all possible sequences S of N integers from the set {−1, 1}.

For example, given array:

your function should return 0, since for S = [−1, 1, −1, 1], val(A, S) = 0, which is the minimum possible value.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

For a given array A of N integers and a sequence S of N integers from the set {−1, 1}, we define val(A, S) as follows:

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

int solution(vector<int> &A);

that, given an array A of N integers, computes the minimum value of val(A,S) from all possible values of val(A,S) for all possible sequences S of N integers from the set {−1, 1}.

For example, given array:

your function should return 0, since for S = [−1, 1, −1, 1], val(A, S) = 0, which is the minimum possible value.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

For a given array A of N integers and a sequence S of N integers from the set {−1, 1}, we define val(A, S) as follows:

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

int solution(vector<int> &A);

that, given an array A of N integers, computes the minimum value of val(A,S) from all possible values of val(A,S) for all possible sequences S of N integers from the set {−1, 1}.

For example, given array:

your function should return 0, since for S = [−1, 1, −1, 1], val(A, S) = 0, which is the minimum possible value.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

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

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

int solution(List<int> A);

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

func Solution(A []int) int

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

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

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

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

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

function solution(A);

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

fun solution(A: IntArray): Int

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

function solution(A)

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

int solution(NSMutableArray *A);

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

function solution(A: array of longint; N: longint): longint;

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

function solution($A);

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

sub solution { my (@A) = @_; ... }

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

def solution(A)

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

def solution(a)

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

object Solution { def solution(a: Array[Int]): Int }

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

public func solution(_ A : inout [Int]) -> Int

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

public func solution(_ A : inout [Int]) -> Int

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

function solution(A: number[]): number;

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].

val(A, S) = |

sum{ A[i]*S[i] for i = 0..N−1 }|

(Assume that the sum of zero elements equals zero.)

For a given array A, we are looking for such a sequence S that minimizes val(A,S).

Write a function:

Private Function solution(A As Integer()) As Integer

For example, given array:

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [0..20,000];
- each element of array A is an integer within the range [−100..100].