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1046 Shortest Distance (20 分)

The task is really simple: givenNexits 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 integerN(in [3]), followed byNinteger distancesD1​​D2​​DN​​, whereDi​​is the distance between thei-th and the(-st exits, andDN​​is between theN-th and the 1st exits. All the numbers in a line are separated by a space. The second line gives a positive integerM(≤), withMlines follow, each contains a pair of exit numbers, provided that the exits are numbered from 1 toN. It is guaranteed that the total round trip distance is no more than1.

Output Specification:

For each test case, print your results inMlines, 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

思路:用陣列每個點到第一個點的距離,把時間複雜度控制在O(1),注意:O(n)的時間複雜度會執行超時
#include<bits/stdc++.h>
using
namespace std; const int maxn=1000010; int nums[maxn]; int dist[maxn]; int main(){ int n,m; cin>>n; int sum=0; dist[0]=0; for(int i=1;i<=n;i++){ cin>>nums[i]; dist[i]=dist[i-1]+nums[i]; sum+=nums[i]; } cin>>m; int a,b; for(int
i=0;i<m;i++){ cin>>a>>b; int sum2=0; if(a>b){ swap(a,b); } sum2=dist[b-1]-dist[a-1]; cout<<min(sum-sum2,sum2)<<endl; } return 0; }