
1046 Shortest Distance
The task is really simple: given N exits on a highway which forms a simple cycle, you are supposed to tell the shortest distance between any pair of exits.
Input Specification:
Each input file contains one test case. For each case, the first line contains an integer N (in [3,10^5]), followed by N integer distances D1 D2 ⋯ DN, where Di is the distance between the i-th and the (i+1)-st exits, and DN is between the N-th and the 1st exits. All the numbers in a line are separated by a space. The second line gives a positive integer M (≤104), with M lines follow, each contains a pair of exit numbers, provided that the exits are numbered from 1 to N. It is guaranteed that the total round trip distance is no more than 107.
Output Specification:
For each test case, print your results in M lines, each contains the shortest distance between the corresponding given pair of exits.
Sample Input:
5 1 2 4 14 9
3
1 3
2 5
4 1
Sample Output:
3
10
7
解答
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 100001;
//cur数组为i到i+1的距离
int dis[MAXN], cur[MAXN], sum = 0;
int main()
{
int N;
scanf("%d", &N);
for (int i = 1; i <= N; i++)
{
//输入i到i+1的距离
scanf("%d", &cur[i]);
//对dis数组进行预处理,以防超时
sum += cur[i];
dis[i] = sum;
}
int M, vertexA, vertexB;
scanf("%d", &M);
//查找最短路径
for (int i = 1; i <= M; i++)
{
scanf("%d%d", &vertexA, &vertexB);
//vertexA > vertexB,交换
if (vertexA > vertexB)
swap(vertexA, vertexB);
//vertexA到vertexB的距离
int temp = dis[vertexB - 1] - dis[vertexA - 1];
printf("%dn", min(temp, sum - temp));
}
return 0;
}




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