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Colidity--PassingCars

时间:2014-09-15 22:39:49      阅读:212      评论:0      收藏:0      [点我收藏+]

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 1 // you can use includes, for example:
 2 // #include <algorithm>
 3 
 4 // you can write to stdout for debugging purposes, e.g.
 5 // cout << "this is a debug message" << endl;
 6 
 7 int solution(vector<int> &A) {
 8     // write your code in C++11
 9     int i = A.size()-1;
10     int tmp = 0;
11     int res = 0;
12     while(i >= 0)
13     {
14         if(A[i] == 0)
15         {
16             res += tmp;
17         }
18         else
19         {
20             tmp++;
21         }
22         --i;
23     }
24     return res;
25 }

思路:统计0后面的1的个数,利用后缀数组计算

A non-empty zero-indexed array A consisting of N integers is given. The consecutive elements of array A represent consecutive cars on a road.

Array A contains only 0s and/or 1s:

  • 0 represents a car traveling east,
  • 1 represents a car traveling west.

The goal is to count passing cars. We say that a pair of cars (P, Q), where 0 ≤ P < Q < N, is passing when P is traveling to the east and Q is traveling to the west.

For example, consider array A such that:

 

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

We have five pairs of passing cars: (0, 1), (0, 3), (0, 4), (2, 3), (2, 4).

Write a function:

int solution(vector<int> &A);

that, given a non-empty zero-indexed array A of N integers, returns the number of passing cars.

The function should return −1 if the number of passing cars exceeds 1,000,000,000.

For example, given:

 

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

the function should return 5, as explained above.

Assume that:

  • N is an integer within the range [1..100,000];
  • each element of array A is an integer that can have one of the following values: 0, 1.

Complexity:

  • expected worst-case time complexity is O(N);
  • expected worst-case space complexity is O(1), beyond input storage (not counting the storage required for input arguments).

Colidity--PassingCars

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原文地址:http://www.cnblogs.com/cane/p/3973651.html

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