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Tasks Details
easy
1. Fish
N voracious fish are moving along a river. Calculate how many fish are alive.
Task Score
100%
Correctness
100%
Performance
100%

Task description

You are given two non-empty arrays A and B consisting of N integers. Arrays A and B represent N voracious fish in a river, ordered downstream along the flow of the river.

The fish are numbered from 0 to N − 1. If P and Q are two fish and P < Q, then fish P is initially upstream of fish Q. Initially, each fish has a unique position.

Fish number P is represented by A[P] and B[P]. Array A contains the sizes of the fish. All its elements are unique. Array B contains the directions of the fish. It contains only 0s and/or 1s, where:

  • 0 represents a fish flowing upstream,
  • 1 represents a fish flowing downstream.

If two fish move in opposite directions and there are no other (living) fish between them, they will eventually meet each other. Then only one fish can stay alive − the larger fish eats the smaller one. More precisely, we say that two fish P and Q meet each other when P < Q, B[P] = 1 and B[Q] = 0, and there are no living fish between them. After they meet:

  • If A[P] > A[Q] then P eats Q, and P will still be flowing downstream,
  • If A[Q] > A[P] then Q eats P, and Q will still be flowing upstream.

We assume that all the fish are flowing at the same speed. That is, fish moving in the same direction never meet. The goal is to calculate the number of fish that will stay alive.

For example, consider arrays A and B such that:

A[0] = 4 B[0] = 0 A[1] = 3 B[1] = 1 A[2] = 2 B[2] = 0 A[3] = 1 B[3] = 0 A[4] = 5 B[4] = 0

Initially all the fish are alive and all except fish number 1 are moving upstream. Fish number 1 meets fish number 2 and eats it, then it meets fish number 3 and eats it too. Finally, it meets fish number 4 and is eaten by it. The remaining two fish, number 0 and 4, never meet and therefore stay alive.

Write a function:

int solution(vector<int> &A, vector<int> &B);

that, given two non-empty arrays A and B consisting of N integers, returns the number of fish that will stay alive.

For example, given the arrays shown above, the function should return 2, as explained above.

Write an efficient algorithm for the following assumptions:

  • N is an integer within the range [1..100,000];
  • each element of array A is an integer within the range [0..1,000,000,000];
  • each element of array B is an integer that can have one of the following values: 0, 1;
  • the elements of A are all distinct.
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Solution
Programming language used C++
Time spent on task 18 minutes
Notes
not defined yet
Task timeline
14:04:00
14:21:34
Code: 14:21:33 UTC, cpp, final, score:  100
// you can use includes, for example:
#include <bits/stdc++.h>

// you can write to stdout for debugging purposes, e.g.
// cout << "this is a debug message" << endl;

int solution(vector<int> &A, vector<int> &B) {
    // write your code in C++14 (g++ 6.2.0)
    int len = A.size();
    stack<int> st;
    int count = 0;
    for(int i=0; i<len; i++){
        
        if(B[i] == 1){
            // 하류로 가는 물고기
            st.push(A[i]);
        }else{
            // 상류로 가는 물고기
            while(!st.empty()){
                if(st.top()<A[i]){
                    st.pop();
                }else{
                    break;
                }
            }

            if(st.empty()){
                count++;
            }
        }
    }
    return count + st.size();
}
Analysis summary

The solution obtained perfect score.

Analysis
Detected time complexity:
O(N)
expand all Example tests
example
example test
OK
expand all Correctness tests
extreme_small
1 or 2 fishes
OK
simple1
simple test
OK
simple2
simple test
OK
small_random
small random test, N = ~100
OK
expand all Performance tests
medium_random
small medium test, N = ~5,000
OK
large_random
large random test, N = ~100,000
OK
extreme_range1
all except one fish flowing in the same direction
OK
extreme_range2
all fish flowing in the same direction
OK