【JZOJ4307】喝喝喝

本文深入探讨了滑动窗口算法的实现细节,通过维护两个指针来动态调整窗口大小,解决特定条件下的子数组问题。文章详细介绍了如何通过枚举约数和维护桶的方式,高效地找到满足条件的最长子数组长度,适用于处理数组中元素与特定数值的关系。

description


analysis

  • 正解……桶乱搞

  • 维护两个指针l,rl,rl,r,每次右移rrr一位,表示加入a[r]a[r]a[r],然后在满足条件的情况下维护lll

  • 如果a[r]>=ka[r]>=ka[r]>=k,就把a[r]−ka[r]-ka[r]k丢进桶里并记录a[r]−ka[r]-ka[r]k最右出现的位置(因为有可能这个模数后面会出现)

  • 然后枚举约数,lll对于所有约数倍的位置取最大值,就是lll合法的最左位置

  • 答案每次加上r−lr-lrl就行了


code

#pragma GCC optimize("O3")
#pragma G++ optimize("O3")
#include<stdio.h>
#include<string.h>
#include<algorithm>
#define MAXN 100005
#define ll long long
#define fo(i,a,b) for (register int i=a;i<=b;++i)
#define fd(i,a,b) for (register int i=a;i>=b;--i)

using namespace std;

int a[MAXN],b[MAXN];
int n,k;
ll ans;
__attribute__((optimize("-O3")))
int read()
{
    int x=0,f=1;
    char ch=getchar();
    while (ch<'0' || '9'<ch)
    {
        if (ch=='-')f=-1;
        ch=getchar();   
    }
    while ('0'<=ch && ch<='9')
    {
        x=x*10+ch-'0';
        ch=getchar();
    }
    return x*f;
}
__attribute__((optimize("-O3")))
int main()
{
	freopen("drink.in","r",stdin);
	freopen("drink.out","w",stdout);
	n=read(),k=read();
	fo(i,1,n)a[i]=read();
	for (register int l=0,r=1;r<=n;++r)
	{
		if (a[r]>k)
		{
			for (register int i=0;i<=100000;i+=a[r])l=max(b[i],l);
		}
		ans+=r-l;
		if (a[r]>=k)b[a[r]-k]=r;
	}
	printf("%lld\n",ans);
	return 0;
}
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07-16
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