hdu 3706 Second My Problem First 单调队列

Posted 2020-09-08 xjhz

题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=3706

Second My Problem First

Time Limit: 12000/4000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)

Problem Description

Give you three integers n, A and B. 
Then we define S_i = Aⁱ mod B and T_i = Min{ S_k | i-A <= k <= i, k >= 1}
Your task is to calculate the product of T_i (1 <= i <= n) mod B.

 

 

Input

Each line will contain three integers n(1 <= n <= 10⁷),A and B(1 <= A, B <= 2³¹-1). 
Process to end of file.

 

 

Output

For each case, output the answer in a single line.

 

 

Sample Input

1 2 3 2 3 4 3 4 5 4 5 6 5 6 7

 

 

Sample Output

2 3 4 5 6

 

 

Author

[email protected]

 

 

Source

HDOJ 5th Anniversary Contest

 

单调队列简单题；

卡内存，list过不了，deque，G++过的；

#pragma comment(linker, "/STACK:1024000000,1024000000")
#include<iostream>
#include<cstdio>
#include<cmath>
#include<string>
#include<queue>
#include<algorithm>
#include<stack>
#include<cstring>
#include<vector>
#include<list>
#include<set>
#include<map>
using namespace std;
#define ll long long
#define pi (4*atan(1.0))
#define eps 1e-14
#define bug(x)  cout<<"bug"<<x<<endl;
const int N=1e7+10,M=4e6+10,inf=2147483647;
const ll INF=1e18+10,mod=1e9+7;
///   数组大小
int d[N];
ll num[N];
int main()
{
    ll n,a,b;
    while(~scanf("%lld%lld%lld",&n,&a,&b))
    {
        ll ans=1,base=a%b;
        int s=0,e=0;
        for(int i=1;i<=n;i++,base=(base*a)%b)
        {
            num[i]=base;
            while(s<e&&d[s]<i-a)s++;
            while(e>s&&num[d[e]]>=num[i])e--;
            d[++e]=i;
            //cout<<num[d[s+1]]<<" "<<endl;
            ans=ans*(num[d[s+1]])%b;
        }
        printf("%lld\n",ans);
    }
    return 0;
}