(PAT 1046) Shortest Distance (递推)

忘是亡心i 2022-03-20 04:45 156阅读 0赞

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 \[3,105\]), 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

题意:

给定一个圈,求一个端点到另一个端点值最小的情况

用递推法:正序和 = 端点递推值相减,逆序和 = 数列总和-端点递推值相减

#include <iostream>
    #include <algorithm>
    using namespace std;
    int MaxArray[100010] = { 0 };
    
    int main() {
    	int Nn,temp;
    	int sum = 0;
    	scanf("%d", &Nn);
    	for (int i = 1; i <= Nn; ++i) {
    		scanf("%d", &temp);
    		sum += temp;
    		MaxArray[i] = sum;
    	}
    	//递推法
    	int Nm;
    	int nleft, nright;
    	scanf("%d", &Nm);
    	for (int i = 0; i < Nm; ++i) {
    		scanf("%d %d", &nleft, &nright);
    		if (nleft > nright) swap(nleft, nright);
    		int res = MaxArray[nright - 1] - MaxArray[nleft - 1];
    		printf("%d\n", min(res,sum-res));
    	}
    
    	system("PAUSE");
    	return 0;
    }

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