A - Subsequence (算法 二分 )

本文介绍了一个关于寻找连续子序列最小长度的问题,该子序列的元素之和大于或等于给定值S。通过扫描线算法结合上界查找,实现了一个高效的解决方案。

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A sequence of N positive integers (10 < N < 100 000), each of them less than or equal 10000, and a positive integer S (S < 100 000 000) are given. Write a program to find the minimal length of the subsequence of consecutive elements of the sequence, the sum of which is greater than or equal to S.
Input
The first line is the number of test cases. For each test case the program has to read the numbers N and S, separated by an interval, from the first line. The numbers of the sequence are given in the second line of the test case, separated by intervals. The input will finish with the end of file.
Output
For each the case the program has to print the result on separate line of the output file.if no answer, print 0.
Sample Input
2
10 15
5 1 3 5 10 7 4 9 2 8
5 11
1 2 3 4 5
Sample Output
2
3





#include<stdio.h>#include<algorithm>#define MAX 100000using namespace std;int main(){int u;int sum[MAX+22];int ans;int n,s;scanf("%d",&u);while(u--){scanf("%d %d",&n,&s);scanf("%d",&sum[0]); //注意这个地方 for(int i=1; i<n; i++){scanf("%d",&sum[i]);sum[i]+=sum[i-1]; } if(sum[n-1]<s) { printf("0\n"); continue; } ans =n; int pos; for(int i=n-1; i>=0; i--) { if(sum[i]<s) break; pos=upper_bound(sum,sum+n,sum[i]-s)-sum; ans=min(ans,i-pos+1); } printf("%d\n",ans); } return 0;}



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