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ambitious

Find the number of different ways in which the space crew can be selected.

Programming language:
Spoken language:

N countries (numbered from 0 to N−1) participate in a space mission. Each country has trained a certain number of astronauts and each country has to delegate a certain number of astronauts to the mission's crew. How many different ways are there to select the crew?

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Each country's choice is independent, so the total number of different ways to build the mission crew is 6*4*35=840.

Write a function

int solution(vector<int> &T, vector<int> &D);

that, given two non-empty zero-indexed arrays T and D consisting of N integers each, returns the number of different ways in which the space crew can be selected, where:

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

the function should return 840, as explained above. If the result exceeds 1,410,000,016, the function should return the remainder of the result modulo 1,410,000,017.

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);
- expected worst-case space complexity is O(N+max(T)), beyond input storage (not counting the storage required for input arguments).

Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

N countries (numbered from 0 to N−1) participate in a space mission. Each country has trained a certain number of astronauts and each country has to delegate a certain number of astronauts to the mission's crew. How many different ways are there to select the crew?

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Each country's choice is independent, so the total number of different ways to build the mission crew is 6*4*35=840.

Write a function

class Solution { public int solution(int[] T, int[] D); }

that, given two non-empty zero-indexed arrays T and D consisting of N integers each, returns the number of different ways in which the space crew can be selected, where:

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

the function should return 840, as explained above. If the result exceeds 1,410,000,016, the function should return the remainder of the result modulo 1,410,000,017.

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);
- expected worst-case space complexity is O(N+max(T)), beyond input storage (not counting the storage required for input arguments).

Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

N countries (numbered from 0 to N−1) participate in a space mission. Each country has trained a certain number of astronauts and each country has to delegate a certain number of astronauts to the mission's crew. How many different ways are there to select the crew?

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Each country's choice is independent, so the total number of different ways to build the mission crew is 6*4*35=840.

Write a function

func Solution(T []int, D []int) int

that, given two non-empty zero-indexed arrays T and D consisting of N integers each, returns the number of different ways in which the space crew can be selected, where:

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

the function should return 840, as explained above. If the result exceeds 1,410,000,016, the function should return the remainder of the result modulo 1,410,000,017.

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);
- expected worst-case space complexity is O(N+max(T)), beyond input storage (not counting the storage required for input arguments).

Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Write a function

class Solution { public int solution(int[] T, int[] D); }

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Write a function

def solution(T, D)

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Write a function

def solution(t, d)

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Write a function

object Solution { def solution(t: Array[Int], d: Array[Int]): Int }

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Write a function

public func solution(inout T : [Int], inout _ D : [Int]) -> Int

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Write a function

public func solution(_ T : inout [Int], _ D : inout [Int]) -> Int

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);

For example, suppose there are three countries A-land, B-land and C-land and

- A-land has 6 astronauts;
- B-land has 4 astronauts;
- C-land has 7 astronauts.

and

- A-land has to delegate 1 astronaut;
- B-land has to delegate 3 astronauts;
- C-land has to delegate 4 astronauts.

Then

- there are 6 different ways in which A-land can delegate 1 out of 6 astronauts;
- there are 4 different ways in which B-land can delegate 3 out of 4 astronauts;
- there are 35 different ways in which C-land can delegate 4 out of 7 astronauts.

Write a function

Private Function solution(T As Integer(), D As Integer()) As Integer

- T[K] = number of astronauts in country K;
- D[K] = number of astronauts to be delegated from country K.

Assume that:

- N is an integer within the range [1..1,000];
- each element of arrays T, D is an integer within the range [0..1,000,000];
- T[i] ≥ D[i] for i=0..(N−1).

For example, given N=3 and

Complexity:

- expected worst-case time complexity is O(max(T)*log(max(T))+N);

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