Subsequence (POJ - 3061)(尺取思想)

2023-03-09 17:00:12 浏览数 (2)

Problem

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

代码语言:javascript复制
2
10 15
5 1 3 5 10 7 4 9 2 8
5 11
1 2 3 4 5

Sample Output

代码语言:javascript复制
2
3

题解: 其实这题我感觉没有完全用到尺取的方法,可能思想有一点,就是从左端开始枚举,如果当前的和是小于m的,就让右端点右移,sum =a[r],如果一但满足大于等于m,那么就计算一次ans,然后把左端点左移。重复上面直到遍历一遍就可以了。

代码语言:javascript复制
#include <iostream>
#include <cstdio>
using namespace std;
typedef long long ll;
const int maxn = 1000005;
int a[maxn];
int main()
{
    int t,n,m;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d %d", &n,&m);
        for(int i = 0; i < n; i   )
            scanf("%d",&a[i]);
        int l = 0,r = 0,sum = 0,ans = n   1;
        while(1)
        {
            while(r<n&&sum<m)
            {
                sum=sum a[r];
                r   ;
            }
            if(sum<m)
            {
                break;
            }
            ans = min(r-l,ans);
            sum=sum-a[l];
            l  ;
        }
        if(ans == n   1)
        {
            printf("0n");
        }
        else
        {
            printf("%dn",ans);
        }
    }
    return 0;
}

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