[A] 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, 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
晚上被這道題坑了很久,一直沒想明白為什麼不能完全ac,只能拿17/20的分,,我一開始的想法是每次都一個迴圈遍歷相加來求距離,查了網上資料說,在極端情況下,每次查詢都需要遍歷整個陣列,即有1e5次操作,而共有1e4次查詢,所以極端情況下會有1e9次操作,這在100ms內往往會超時。
解決辦法是一開始設定一個dis[i]
#include<cstdio> using namespace std; #define MAX 100001 int dis[MAX] , a[MAX]; int main(void){ int sum = 0; int n,m,v1,v2; scanf("%d",&n); for(int i = 1; i <= n; i++){ scanf("%d",&a[i]); sum += a[i]; dis[i] = sum; } scanf("%d",&m); while(m--){ scanf("%d %d",&v1,&v2); if(v1 > v2){ int t = v1; v1 = v2; v2 =t; } int ans = dis[v2-1] - dis[v1-1]; if(ans > (sum-ans) ) ans = sum -ans; printf("%d\n",ans); } return 0; }