Poj 3061 Subsequence(二分+前缀和)

Subsequence

Time Limit: 1000MS Memory Limit: 65536K

Total Submissions: 12333 Accepted: 5178

Description

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

Source

Southeastern Europe 2006

/*
题目大意:
要求n个数总和不小于s的连续子序列的长度的最小值.
二分+前缀和查询.
*/
#include<iostream>
#include<cstdio>
#define MAXN 100001
using namespace std;
int n,m,s[MAXN],sum[MAXN];
bool check(int x)
{
    for(int i=1;i<=n-x+1;i++){
        if(sum[x+i-1]-sum[i-1]>=m) return true;
    }
    return false;
}
int erfen(int l,int r)
{
    int mid,ans=0;
    while(l<=r){
        int mid=(l+r)>>1;
        if(check(mid)) ans=mid,r=mid-1;
        else l=mid+1;
    }
    return ans;
}
int main()
{
    int t;scanf("%d",&t);
    while(t--)
    {
        scanf("%d%d",&n,&m);
        for(int i=1;i<=n;i++) scanf("%d",&s[i]),sum[i]=s[i]+sum[i-1];
        printf("%d\n",erfen(0,n+1));
    }
    return 0;
}